{"id":1,"expression_no_base_symbol":"($1503$⩌⋺$1354$⩇∃⫛($3404$⇼⇔∾$1106$))⇤(≪($1991$↼⊘⨖$3902$))⪍↜⋙(↥($5328$⪇≇⋚$1211$≋⫹))","expression":"(⫏≰2001200⩌⋺⫏≰1212011⩇∃⫛(⫏≰11200002⇼⇔∾⫏≰1111222))⇤(≪(⫏≰2201202↼⊘⨖⫏≰12100112))⪍↜⋙(↥(⫏≰21022100⪇≇⋚⫏≰1122212≋⫹))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":117,"operation_count":10,"complexity_ratio":11.7,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1503,"base":3},"right_expr":{"type":"numeric_atoms","value":1354,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3404,"base":3},"right_expr":{"type":"numeric_atoms","value":1106,"base":3}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1991,"base":3},"right_expr":{"type":"numeric_atoms","value":3902,"base":3}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5328,"base":3},"right_expr":{"type":"numeric_atoms","value":1211,"base":3}}}}},"used_operators":["L05ObWFQCd","YSKBFp38Pu","1aApVXNlOP","g7Hmc5v1ko","tifHPKVTfV","Qtd6bqUJcN","bPywburJMS","A8NUZmVepG","N41Kp7NANJ","3sJ7IOPOlU"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⫏≰1100010210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1503","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=1354, 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=-2978","layer":3},{"info":"number node, value=3404","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3404, right_input=1106, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2298","layer":3},{"info":"compute binary expreesion, left_input=-2978, right_input=-2298, 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=-2978","layer":2},{"info":"number node, value=1991","layer":4},{"info":"number node, value=3902","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=3902, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7582","layer":3},{"info":"compute unary expreesion, input=7582, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=-2978, right_input=913, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=13173","layer":1},{"info":"number node, value=5328","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=5328, right_input=1211, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=13173, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=26346","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2001200⩌⋺⫏≰1212011⩇∃⫛(⫏≰11200002⇼⇔∾⫏≰1111222))⇤(≪(⫏≰2201202↼⊘⨖⫏≰12100112))⪍↜⋙(↥(⫏≰21022100⪇≇⋚⫏≰1122212≋⫹))=⫏≰1100010210","reverse_text":"⫏≰1100010210=(⫏≰2001200⩌⋺⫏≰1212011⩇∃⫛(⫏≰11200002⇼⇔∾⫏≰1111222))⇤(≪(⫏≰2201202↼⊘⨖⫏≰12100112))⪍↜⋙(↥(⫏≰21022100⪇≇⋚⫏≰1122212≋⫹))","cot":[{"info":"⫏≰2001200⩌⋺⫏≰1212011=⫏≰-11002022","layer":3},{"info":"⫏≰11200002⇼⇔∾⫏≰1111222=⫏≰-10011010","layer":3},{"info":"⫏≰-11002022⩇∃⫛⫏≰-10011010=⫏≰-11002022","layer":2},{"info":"⫏≰2201202↼⊘⨖⫏≰12100112=⫏≰101101211","layer":3},{"info":"≪⫏≰101101211=⫏≰1020211","layer":2},{"info":"⫏≰-11002022⇤⫏≰1020211=⫏≰200001220","layer":1},{"info":"⫏≰21022100⪇≇⋚⫏≰1122212=⫏≰0","layer":3},{"info":"⫏≰0≋⫹=⫏≰0","layer":2},{"info":"↥⫏≰0=⫏≰0","layer":1},{"info":"⫏≰200001220⪍↜⋙⫏≰0=⫏≰1100010210","layer":0}]}
{"id":2,"expression_no_base_symbol":"(⇵⪽(↯⪼$6353$≦↸$1456$))⊔(($7284$⪘⫢$1000$⪄$3681$≭$1616$)≬⇓(⊢≑≆($4768$≬⇓$3205$)))","expression":"(⇵⪽(↯⪼⫏≰22201022≦↸⫏≰1222221))⊔((⫏≰100222210⪘⫢⫏≰1101001⪄⫏≰12001100≭⫏≰2012212)≬⇓(⊢≑≆(⫏≰20112121≬⇓⫏≰11101201)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":180,"operation_count":10,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":6353,"base":3},"right_expr":{"type":"numeric_atoms","value":1456,"base":3}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7284,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3681,"base":3},"right_expr":{"type":"numeric_atoms","value":1616,"base":3}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4768,"base":3},"right_expr":{"type":"numeric_atoms","value":3205,"base":3}}}}},"used_operators":["E4l6HwMY31","ZGCBLdVRRX","8jW3W4yZS5","RygbFNSyEJ","jWTQ2TZYIH","SUmda5xLS4","oacrs7FA3X","rxpJgHHUmx","27wFxooxGf"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","U7g4x0WXJJ","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6353","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=6353, right_input=1456, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14937","layer":3},{"info":"compute unary expreesion, input=-14937, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=28957","layer":2},{"info":"compute unary expreesion, input=28957, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"number node, value=7284","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=7284, right_input=1000, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14444","layer":3},{"info":"number node, value=3681","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=3681, right_input=1616, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14444, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=4768","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=4768, right_input=3205, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=237, 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=nan, right_input=-22, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇵⪽(↯⪼⫏≰22201022≦↸⫏≰1222221))⊔((⫏≰100222210⪘⫢⫏≰1101001⪄⫏≰12001100≭⫏≰2012212)≬⇓(⊢≑≆(⫏≰20112121≬⇓⫏≰11101201)))=NaN","reverse_text":"NaN=(⇵⪽(↯⪼⫏≰22201022≦↸⫏≰1222221))⊔((⫏≰100222210⪘⫢⫏≰1101001⪄⫏≰12001100≭⫏≰2012212)≬⇓(⊢≑≆(⫏≰20112121≬⇓⫏≰11101201)))","cot":[{"info":"⫏≰22201022≦↸⫏≰1222221=⫏≰-202111020","layer":3},{"info":"↯⪼⫏≰-202111020=⫏≰1110201111","layer":2},{"info":"⇵⪽⫏≰1110201111=NaN","layer":1},{"info":"⫏≰100222210⪘⫢⫏≰1101001=⫏≰201210222","layer":3},{"info":"⫏≰12001100≭⫏≰2012212=NaN","layer":3},{"info":"⫏≰201210222⪄NaN=NaN","layer":2},{"info":"⫏≰20112121≬⇓⫏≰11101201=⫏≰-211","layer":3},{"info":"⊢≑≆⫏≰-211=⫏≰22210","layer":2},{"info":"NaN≬⇓⫏≰22210=⫏≰-211","layer":1},{"info":"NaN⊔⫏≰-211=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"($1959$+⇶⊼$3132$)⪭$4575$⊱⇼⊻$1109$≓∲($2938$⇮⋭$1800$)≬⇓($4502$-$7539$)⇼⇔∾(⊈$1200$⪃⊛⇣$1934$)⊲⩕⊾$1034$⨥⫆$6950$∘($5110$⊋$5226$)","expression":"(⫏≰2200120+⇶⊼⫏≰11022000)⪭⫏≰20021110⊱⇼⊻⫏≰1112002≓∲(⫏≰11000211⇮⋭⫏≰2110200)≬⇓(⫏≰20011202-⫏≰101100020)⇼⇔∾(⊈⫏≰1122110⪃⊛⇣⫏≰2122122)⊲⩕⊾⫏≰1102022⨥⫆⫏≰100112102∘(⫏≰21000021⊋⫏≰21011120)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2507,"operation_count":14,"complexity_ratio":179.07142857142858,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1959,"base":3},"right_expr":{"type":"numeric_atoms","value":3132,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4575,"base":3},"right_expr":{"type":"numeric_atoms","value":1109,"base":3}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2938,"base":3},"right_expr":{"type":"numeric_atoms","value":1800,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4502,"base":3},"right_expr":{"type":"numeric_atoms","value":7539,"base":3}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1200,"base":3},"right_expr":{"type":"numeric_atoms","value":1934,"base":3}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1034,"base":3},"right_expr":{"type":"numeric_atoms","value":6950,"base":3}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5110,"base":3},"right_expr":{"type":"numeric_atoms","value":5226,"base":3}}}}},"used_operators":["tifHPKVTfV","s1XTVnmDOJ","j9kHMeSvPp","TpPTUOHfaN","FyVja0WsTP","jWTQ2TZYIH","vkpjKywKVM","rysDP5nf3Z","DmTXOeWf9t","RHru8klgy8","rrgAzCduG9","Z5m6OM72h2","yXekIHxTD4","W4tP9CfskL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","COABgblf1C","xUOZtlo3hN","AHs5Up7iyr","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","12rbrZMWeM","xUOZtlo3hN","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eH2TOUuTDT","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⫏≰100210001222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":4},{"info":"number node, value=3132","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=3132, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4575","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=4575, right_input=1109, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=434, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=2938","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=1800, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=4502","layer":4},{"info":"number node, value=7539","layer":4},{"info":"compute binary expreesion, left_input=4502, right_input=7539, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3037","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-3037, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=2292580","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=2292580, 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=833","layer":1},{"info":"number node, value=1200","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1934, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1408","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=6950","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=6950, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=13776","layer":3},{"info":"number node, value=5110","layer":4},{"info":"number node, value=5226","layer":4},{"info":"compute binary expreesion, left_input=5110, right_input=5226, 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=-3169628","layer":3},{"info":"compute binary expreesion, left_input=13776, right_input=-3169628, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-13396","layer":2},{"info":"compute binary expreesion, left_input=-1408, right_input=-13396, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=193342","layer":1},{"info":"compute binary expreesion, left_input=833, right_input=193342, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=192509","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2200120+⇶⊼⫏≰11022000)⪭⫏≰20021110⊱⇼⊻⫏≰1112002≓∲(⫏≰11000211⇮⋭⫏≰2110200)≬⇓(⫏≰20011202-⫏≰101100020)⇼⇔∾(⊈⫏≰1122110⪃⊛⇣⫏≰2122122)⊲⩕⊾⫏≰1102022⨥⫆⫏≰100112102∘(⫏≰21000021⊋⫏≰21011120)=⫏≰100210001222","reverse_text":"⫏≰100210001222=(⫏≰2200120+⇶⊼⫏≰11022000)⪭⫏≰20021110⊱⇼⊻⫏≰1112002≓∲(⫏≰11000211⇮⋭⫏≰2110200)≬⇓(⫏≰20011202-⫏≰101100020)⇼⇔∾(⊈⫏≰1122110⪃⊛⇣⫏≰2122122)⊲⩕⊾⫏≰1102022⨥⫆⫏≰100112102∘(⫏≰21000021⊋⫏≰21011120)","cot":[{"info":"⫏≰2200120+⇶⊼⫏≰11022000=NaN","layer":3},{"info":"⫏≰20021110⊱⇼⊻⫏≰1112002=⫏≰121002","layer":3},{"info":"NaN⪭⫏≰121002=⫏≰12","layer":2},{"info":"⫏≰11000211⇮⋭⫏≰2110200=⫏≰-122112","layer":3},{"info":"⫏≰20011202-⫏≰101100020=⫏≰-11011111","layer":3},{"info":"⫏≰-122112≬⇓⫏≰-11011111=⫏≰11022110211101","layer":2},{"info":"⫏≰12≓∲⫏≰11022110211101=⫏≰1010212","layer":1},{"info":"⫏≰1122110⪃⊛⇣⫏≰2122122=⫏≰1200201","layer":3},{"info":"⊈⫏≰1200201=⫏≰-1221011","layer":2},{"info":"⫏≰1102022⨥⫆⫏≰100112102=⫏≰200220020","layer":3},{"info":"⫏≰21000021⊋⫏≰21011120=⫏≰-12222000220122","layer":3},{"info":"⫏≰200220020∘⫏≰-12222000220122=⫏≰-200101011","layer":2},{"info":"⫏≰-1221011⊲⩕⊾⫏≰-200101011=⫏≰100211012211","layer":1},{"info":"⫏≰1010212⇼⇔∾⫏≰100211012211=⫏≰100210001222","layer":0}]}
{"id":4,"expression_no_base_symbol":"(↸⊣$1146$≦↸$3973$)⫢⨠($3331$⪶≀⋏$1227$)∌↝$3126$⊉↱≁$2315$⋭≵(⊽($1854$⫔⩽⩺$5695$))⋥≓≎(⫇$1949$)⪘⫢($3633$≧⫂∧$5353$)","expression":"(↸⊣⫏≰1120110≦↸⫏≰12110011)⫢⨠(⫏≰11120101⪶≀⋏⫏≰1200110)∌↝⫏≰11021210⊉↱≁⫏≰10011202⋭≵(⊽(⫏≰2112200⫔⩽⩺⫏≰21210221))⋥≓≎(⫇⫏≰2200012)⪘⫢(⫏≰11222120≧⫂∧⫏≰21100021)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":267,"operation_count":13,"complexity_ratio":20.53846153846154,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1146,"base":3},"right_expr":{"type":"numeric_atoms","value":3973,"base":3}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3331,"base":3},"right_expr":{"type":"numeric_atoms","value":1227,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3126,"base":3},"right_expr":{"type":"numeric_atoms","value":2315,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1854,"base":3},"right_expr":{"type":"numeric_atoms","value":5695,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1949,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3633,"base":3},"right_expr":{"type":"numeric_atoms","value":5353,"base":3}}}}},"used_operators":["jBncVCNhdl","xlXykHWxX1","wztAlM01eG","RygbFNSyEJ","9Isq31Ruls","zR4jO40bMj","w2P8NbNXyL","Qy55tPpLXF","QxG7OkqoLX","i9eR4S00cU","oacrs7FA3X","YjI8oCXuph","Ph9nP6C5qx"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1146","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=3973, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9557","layer":3},{"info":"compute unary expreesion, input=-9557, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=19114","layer":2},{"info":"number node, value=3331","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=3331, right_input=1227, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12679","layer":3},{"info":"number node, value=3126","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=2315, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=17318","layer":3},{"info":"compute binary expreesion, left_input=-12679, right_input=17318, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-51954","layer":2},{"info":"compute binary expreesion, left_input=19114, right_input=-51954, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=261450","layer":1},{"info":"number node, value=1854","layer":4},{"info":"number node, value=5695","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=5695, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":2},{"info":"number node, value=1949","layer":4},{"info":"compute unary expreesion, input=1949, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2684","layer":3},{"info":"number node, value=3633","layer":4},{"info":"number node, value=5353","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=5353, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4880","layer":3},{"info":"compute binary expreesion, left_input=-2684, right_input=4880, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=261450, right_input=67, 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":3,"result_base":3,"text":"(↸⊣⫏≰1120110≦↸⫏≰12110011)⫢⨠(⫏≰11120101⪶≀⋏⫏≰1200110)∌↝⫏≰11021210⊉↱≁⫏≰10011202⋭≵(⊽(⫏≰2112200⫔⩽⩺⫏≰21210221))⋥≓≎(⫇⫏≰2200012)⪘⫢(⫏≰11222120≧⫂∧⫏≰21100021)=⫏≰2111","reverse_text":"⫏≰2111=(↸⊣⫏≰1120110≦↸⫏≰12110011)⫢⨠(⫏≰11120101⪶≀⋏⫏≰1200110)∌↝⫏≰11021210⊉↱≁⫏≰10011202⋭≵(⊽(⫏≰2112200⫔⩽⩺⫏≰21210221))⋥≓≎(⫇⫏≰2200012)⪘⫢(⫏≰11222120≧⫂∧⫏≰21100021)","cot":[{"info":"⫏≰1120110≦↸⫏≰12110011=⫏≰-111002222","layer":3},{"info":"↸⊣⫏≰-111002222=⫏≰222012221","layer":2},{"info":"⫏≰11120101⪶≀⋏⫏≰1200110=⫏≰-122101121","layer":3},{"info":"⫏≰11021210⊉↱≁⫏≰10011202=⫏≰212202102","layer":3},{"info":"⫏≰-122101121∌↝⫏≰212202102=⫏≰-2122021020","layer":2},{"info":"⫏≰222012221⫢⨠⫏≰-2122021020=⫏≰111021122100","layer":1},{"info":"⫏≰2112200⫔⩽⩺⫏≰21210221=NaN","layer":3},{"info":"⊽NaN=NaN","layer":2},{"info":"⫇⫏≰2200012=⫏≰-10200102","layer":3},{"info":"⫏≰11222120≧⫂∧⫏≰21100021=⫏≰20200202","layer":3},{"info":"⫏≰-10200102⪘⫢⫏≰20200202=⫏≰-1","layer":2},{"info":"NaN⋥≓≎⫏≰-1=⫏≰2111","layer":1},{"info":"⫏≰111021122100⋭≵⫏≰2111=⫏≰2111","layer":0}]}
{"id":5,"expression_no_base_symbol":"((⇁⨣⪵$4265$)∌↝($1092$⩚⊴⇥$1346$)⨳⩥⨓($1065$⩁⩘$4189$⩠))⨽(∷≠($4035$⩍⋽⫝̸$2175$≚⊃≕($3288$⊲⩕⊾$1595$)))","expression":"((⇁⨣⪵⫏≰12211222)∌↝(⫏≰1111110⩚⊴⇥⫏≰1211212)⨳⩥⨓(⫏≰1110110⩁⩘⫏≰12202011⩠))⨽(∷≠(⫏≰12112110⩍⋽⫝̸⫏≰2222120≚⊃≕(⫏≰11111210⊲⩕⊾⫏≰2012002)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":122,"operation_count":11,"complexity_ratio":11.090909090909092,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4265,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1092,"base":3},"right_expr":{"type":"numeric_atoms","value":1346,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1065,"base":3},"right_expr":{"type":"numeric_atoms","value":4189,"base":3}}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4035,"base":3},"right_expr":{"type":"numeric_atoms","value":2175,"base":3}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3288,"base":3},"right_expr":{"type":"numeric_atoms","value":1595,"base":3}}}}},"used_operators":["8HhzD0ZcuI","nCS4ZIUYfx","9Isq31Ruls","inkyxCbjAn","NTOWxs364D","sJAwomhLZr","gub5Cegaqo","QiR2Oyf5Xj","Bmrmz2XGnR","BiWNJpBvwn","DmTXOeWf9t"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DpFCA1CohY","IWmyXbctLI","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4265","layer":4},{"info":"compute unary expreesion, input=4265, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1346, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2559","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2559, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":2},{"info":"number node, value=1065","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=4189, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17704","layer":3},{"info":"compute unary expreesion, input=17704, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4035","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=2175, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1229","layer":3},{"info":"number node, value=3288","layer":4},{"info":"number node, value=1595","layer":4},{"info":"compute binary expreesion, left_input=3288, right_input=1595, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-65188","layer":3},{"info":"compute binary expreesion, left_input=1229, right_input=-65188, 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=-125626","layer":2},{"info":"compute unary expreesion, input=-125626, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-125626","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-125626, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇁⨣⪵⫏≰12211222)∌↝(⫏≰1111110⩚⊴⇥⫏≰1211212)⨳⩥⨓(⫏≰1110110⩁⩘⫏≰12202011⩠))⨽(∷≠(⫏≰12112110⩍⋽⫝̸⫏≰2222120≚⊃≕(⫏≰11111210⊲⩕⊾⫏≰2012002)))=NaN","reverse_text":"NaN=((⇁⨣⪵⫏≰12211222)∌↝(⫏≰1111110⩚⊴⇥⫏≰1211212)⨳⩥⨓(⫏≰1110110⩁⩘⫏≰12202011⩠))⨽(∷≠(⫏≰12112110⩍⋽⫝̸⫏≰2222120≚⊃≕(⫏≰11111210⊲⩕⊾⫏≰2012002)))","cot":[{"info":"⇁⨣⪵⫏≰12211222=NaN","layer":3},{"info":"⫏≰1111110⩚⊴⇥⫏≰1211212=⫏≰-10111210","layer":3},{"info":"NaN∌↝⫏≰-10111210=NaN","layer":2},{"info":"⫏≰1110110⩁⩘⫏≰12202011=⫏≰220021201","layer":3},{"info":"⫏≰220021201⩠=⫏≰0","layer":2},{"info":"NaN⨳⩥⨓⫏≰0=NaN","layer":1},{"info":"⫏≰12112110⩍⋽⫝̸⫏≰2222120=⫏≰1200112","layer":3},{"info":"⫏≰11111210⊲⩕⊾⫏≰2012002=⫏≰-10022102101","layer":3},{"info":"⫏≰1200112≚⊃≕⫏≰-10022102101=⫏≰-20101022211","layer":2},{"info":"∷≠⫏≰-20101022211=⫏≰-20101022211","layer":1},{"info":"NaN⨽⫏≰-20101022211=NaN","layer":0}]}
{"id":6,"expression_no_base_symbol":"(⊿$4959$⨽∌$2533$)↞⋁(⨞⊢(⨑⩽⪐$1565$))⨽((($6981$⋅⇍$4025$)⋳⪒($2036$⊬⫿⊭))∧)","expression":"(⊿⫏≰20210200⨽∌⫏≰10110211)↞⋁(⨞⊢(⨑⩽⪐⫏≰2010222))⨽(((⫏≰100120120⋅⇍⫏≰12112002)⋳⪒(⫏≰2210102⊬⫿⊭))∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":303,"operation_count":10,"complexity_ratio":30.3,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4959,"base":3},"right_expr":{"type":"numeric_atoms","value":2533,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1565,"base":3}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6981,"base":3},"right_expr":{"type":"numeric_atoms","value":4025,"base":3}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2036,"base":3}}}}},"used_operators":["8HhzD0ZcuI","RqrPlJkxDo","DO4fhlbJSI","9samAPKr6k","xUOZtlo3hN","AF7qkfDlqP","z63VuFQld9","12rbrZMWeM","AdZkA7nFnk","v0DYgG9ikt"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4959","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=4959, right_input=2533, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-738","layer":2},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1292","layer":3},{"info":"compute unary expreesion, input=-1292, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1118","layer":2},{"info":"compute binary expreesion, left_input=-738, right_input=1118, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=6981","layer":4},{"info":"number node, value=4025","layer":4},{"info":"compute binary expreesion, left_input=6981, right_input=4025, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2036","layer":4},{"info":"compute unary expreesion, input=2036, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-6108","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-6108, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5777","layer":2},{"info":"compute unary expreesion, input=5777, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊿⫏≰20210200⨽∌⫏≰10110211)↞⋁(⨞⊢(⨑⩽⪐⫏≰2010222))⨽(((⫏≰100120120⋅⇍⫏≰12112002)⋳⪒(⫏≰2210102⊬⫿⊭))∧)=NaN","reverse_text":"NaN=(⊿⫏≰20210200⨽∌⫏≰10110211)↞⋁(⨞⊢(⨑⩽⪐⫏≰2010222))⨽(((⫏≰100120120⋅⇍⫏≰12112002)⋳⪒(⫏≰2210102⊬⫿⊭))∧)","cot":[{"info":"⫏≰20210200⨽∌⫏≰10110211=⫏≰0","layer":3},{"info":"⊿⫏≰0=⫏≰-1000100","layer":2},{"info":"⨑⩽⪐⫏≰2010222=⫏≰-1202212","layer":3},{"info":"⨞⊢⫏≰-1202212=⫏≰1112102","layer":2},{"info":"⫏≰-1000100↞⋁⫏≰1112102=NaN","layer":1},{"info":"⫏≰100120120⋅⇍⫏≰12112002=⫏≰-211","layer":3},{"info":"⫏≰2210102⊬⫿⊭=⫏≰-22101020","layer":3},{"info":"⫏≰-211⋳⪒⫏≰-22101020=⫏≰21220222","layer":2},{"info":"⫏≰21220222∧=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":7,"expression_no_base_symbol":"(+⊝⨔((⊬↢$1219$)⨝⩣∺))⋭≵$1406$⩣⫁∢$2313$⪚($1925$≀⩗∶$3538$)∛($1615$⩘⨬⇊)∺≝⩲($3316$∠⫱$2683$)","expression":"(+⊝⨔((⊬↢⫏≰1200011)⨝⩣∺))⋭≵⫏≰1221002⩣⫁∢⫏≰10011200⪚(⫏≰2122022≀⩗∶⫏≰11212001)∛(⫏≰2012211⩘⨬⇊)∺≝⩲(⫏≰11112211∠⫱⫏≰10200101)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5161,"operation_count":11,"complexity_ratio":469.1818181818182,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1219,"base":3}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1406,"base":3},"right_expr":{"type":"numeric_atoms","value":2313,"base":3}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1925,"base":3},"right_expr":{"type":"numeric_atoms","value":3538,"base":3}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1615,"base":3}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3316,"base":3},"right_expr":{"type":"numeric_atoms","value":2683,"base":3}}}}},"used_operators":["jBncVCNhdl","DhbWaqg5eL","ancx8kZcWl","WPoGxAaPR1","w2537kitQq","HrjLwUk87U","JDUIKTTSIa","8INZBEW696","KPf6cnQVty","XXmTpEpWTW","QvoQhV0rrE"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","t8gj7n24qd","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-436","layer":2},{"info":"compute unary expreesion, input=-436, 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=1406","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=2313, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2651","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=3538","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=3538, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-2651, right_input=-3, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=4426","layer":2},{"info":"number node, value=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=3316","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=2683, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=4426, right_input=160, 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=1522, right_input=67, 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":3,"result_base":3,"text":"(+⊝⨔((⊬↢⫏≰1200011)⨝⩣∺))⋭≵⫏≰1221002⩣⫁∢⫏≰10011200⪚(⫏≰2122022≀⩗∶⫏≰11212001)∛(⫏≰2012211⩘⨬⇊)∺≝⩲(⫏≰11112211∠⫱⫏≰10200101)=⫏≰2111","reverse_text":"⫏≰2111=(+⊝⨔((⊬↢⫏≰1200011)⨝⩣∺))⋭≵⫏≰1221002⩣⫁∢⫏≰10011200⪚(⫏≰2122022≀⩗∶⫏≰11212001)∛(⫏≰2012211⩘⨬⇊)∺≝⩲(⫏≰11112211∠⫱⫏≰10200101)","cot":[{"info":"⊬↢⫏≰1200011=⫏≰22002","layer":3},{"info":"⫏≰22002⨝⩣∺=⫏≰-121011","layer":2},{"info":"+⊝⨔⫏≰-121011=⫏≰2002101","layer":1},{"info":"⫏≰1221002⩣⫁∢⫏≰10011200=⫏≰-10122012","layer":3},{"info":"⫏≰2122022≀⩗∶⫏≰11212001=⫏≰-10","layer":3},{"info":"⫏≰-10122012⪚⫏≰-10=⫏≰20001221","layer":2},{"info":"⫏≰2012211⩘⨬⇊=NaN","layer":3},{"info":"⫏≰11112211∠⫱⫏≰10200101=⫏≰1200201","layer":3},{"info":"NaN∺≝⩲⫏≰1200201=⫏≰12221","layer":2},{"info":"⫏≰20001221∛⫏≰12221=⫏≰2111","layer":1},{"info":"⫏≰2002101⋭≵⫏≰2111=⫏≰2111","layer":0}]}
{"id":8,"expression_no_base_symbol":"(($2672$⫔⩽⩺$3111$)⩣⫁∢($7624$⋥≓≎$5328$))⨥⫆($6263$⇌⫙⪟$6301$⩵∡$1108$⇄$2074$)≑≱⪘","expression":"((⫏≰10122222⫔⩽⩺⫏≰11021020)⩣⫁∢(⫏≰101110101⋥≓≎⫏≰21022100))⨥⫆(⫏≰22120222⇌⫙⪟⫏≰22122101⩵∡⫏≰1112001⇄⫏≰2211211)≑≱⪘","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":120,"operation_count":8,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2672,"base":3},"right_expr":{"type":"numeric_atoms","value":3111,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7624,"base":3},"right_expr":{"type":"numeric_atoms","value":5328,"base":3}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":6263,"base":3},"right_expr":{"type":"numeric_atoms","value":6301,"base":3}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1108,"base":3},"right_expr":{"type":"numeric_atoms","value":2074,"base":3}}}}},"used_operators":["tGSeddj7UK","yXekIHxTD4","JDUIKTTSIa","i9eR4S00cU","Qy55tPpLXF","Y7wcNGrDQJ","AFVx7xoS7T","3EYGwJThht"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2672","layer":4},{"info":"number node, value=3111","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=3111, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=7624","layer":4},{"info":"number node, value=5328","layer":4},{"info":"compute binary expreesion, left_input=7624, right_input=5328, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3065","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3065, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=6263","layer":4},{"info":"number node, value=6301","layer":4},{"info":"compute binary expreesion, left_input=6263, right_input=6301, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=2074, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-347","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-347, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10122222⫔⩽⩺⫏≰11021020)⩣⫁∢(⫏≰101110101⋥≓≎⫏≰21022100))⨥⫆(⫏≰22120222⇌⫙⪟⫏≰22122101⩵∡⫏≰1112001⇄⫏≰2211211)≑≱⪘=NaN","reverse_text":"NaN=((⫏≰10122222⫔⩽⩺⫏≰11021020)⩣⫁∢(⫏≰101110101⋥≓≎⫏≰21022100))⨥⫆(⫏≰22120222⇌⫙⪟⫏≰22122101⩵∡⫏≰1112001⇄⫏≰2211211)≑≱⪘","cot":[{"info":"⫏≰10122222⫔⩽⩺⫏≰11021020=NaN","layer":3},{"info":"⫏≰101110101⋥≓≎⫏≰21022100=⫏≰11012112","layer":3},{"info":"NaN⩣⫁∢⫏≰11012112=NaN","layer":2},{"info":"⫏≰22120222⇌⫙⪟⫏≰22122101=⫏≰11012","layer":3},{"info":"⫏≰1112001⇄⫏≰2211211=⫏≰0","layer":3},{"info":"⫏≰11012⩵∡⫏≰0=⫏≰-110212","layer":2},{"info":"NaN⨥⫆⫏≰-110212=NaN","layer":1},{"info":"NaN≑≱⪘=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"(($1934$⊔$4642$)⨎⋸⪻)⨫⇇↔($4740$∠↢$1103$⪨≂$4314$⫦⪉$1786$)⫸⇳(≤/$7194$≁↽≥$7692$)⊴(($6051$⋳⪒$5939$)⪮%⊝($1037$⪭≯$1190$))","expression":"((⫏≰2122122⊔⫏≰20100221)⨎⋸⪻)⨫⇇↔(⫏≰20111120∠↢⫏≰1111212⪨≂⫏≰12220210⫦⪉⫏≰2110011)⫸⇳(≤/⫏≰100212110≁↽≥⫏≰101112220)⊴((⫏≰22022010⋳⪒⫏≰22010222)⪮%⊝(⫏≰1102102⪭≯⫏≰1122002))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":320,"operation_count":13,"complexity_ratio":24.615384615384617,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1934,"base":3},"right_expr":{"type":"numeric_atoms","value":4642,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4740,"base":3},"right_expr":{"type":"numeric_atoms","value":1103,"base":3}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4314,"base":3},"right_expr":{"type":"numeric_atoms","value":1786,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":7194,"base":3},"right_expr":{"type":"numeric_atoms","value":7692,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6051,"base":3},"right_expr":{"type":"numeric_atoms","value":5939,"base":3}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1037,"base":3},"right_expr":{"type":"numeric_atoms","value":1190,"base":3}}}}},"used_operators":["gx7XJ7hdpj","LXhwmt4mBO","Dk5vyLCiGd","E4l6HwMY31","sdazOOVcIp","KbjG8mgYpV","wscyQdcy20","Nsiff2A1zJ","eLAdDNolq6","ncHt1X6cMc","IWmyXbctLI","12rbrZMWeM","XAx5wpdLa6"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","IWmyXbctLI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1934","layer":4},{"info":"number node, value=4642","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=4642, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=24678","layer":3},{"info":"compute unary expreesion, input=24678, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=49672","layer":2},{"info":"number node, value=4740","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=4740, right_input=1103, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-33320","layer":3},{"info":"number node, value=4314","layer":4},{"info":"number node, value=1786","layer":4},{"info":"compute binary expreesion, left_input=4314, right_input=1786, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3728","layer":3},{"info":"compute binary expreesion, left_input=-33320, right_input=-3728, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-59082","layer":2},{"info":"compute binary expreesion, left_input=49672, right_input=-59082, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=7194","layer":4},{"info":"number node, value=7692","layer":4},{"info":"compute binary expreesion, left_input=7194, right_input=7692, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=117842","layer":3},{"info":"compute unary expreesion, input=117842, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-117358","layer":2},{"info":"number node, value=6051","layer":4},{"info":"number node, value=5939","layer":4},{"info":"compute binary expreesion, left_input=6051, right_input=5939, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5876","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1190, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5876, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-117358, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=nan, 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":3,"result_base":3,"text":"((⫏≰2122122⊔⫏≰20100221)⨎⋸⪻)⨫⇇↔(⫏≰20111120∠↢⫏≰1111212⪨≂⫏≰12220210⫦⪉⫏≰2110011)⫸⇳(≤/⫏≰100212110≁↽≥⫏≰101112220)⊴((⫏≰22022010⋳⪒⫏≰22010222)⪮%⊝(⫏≰1102102⪭≯⫏≰1122002))=⫏≰0","reverse_text":"⫏≰0=((⫏≰2122122⊔⫏≰20100221)⨎⋸⪻)⨫⇇↔(⫏≰20111120∠↢⫏≰1111212⪨≂⫏≰12220210⫦⪉⫏≰2110011)⫸⇳(≤/⫏≰100212110≁↽≥⫏≰101112220)⊴((⫏≰22022010⋳⪒⫏≰22010222)⪮%⊝(⫏≰1102102⪭≯⫏≰1122002))","cot":[{"info":"⫏≰2122122⊔⫏≰20100221=⫏≰1020212000","layer":3},{"info":"⫏≰1020212000⨎⋸⪻=⫏≰2112010201","layer":2},{"info":"⫏≰20111120∠↢⫏≰1111212=⫏≰-1200201002","layer":3},{"info":"⫏≰12220210⫦⪉⫏≰2110011=⫏≰-12010002","layer":3},{"info":"⫏≰-1200201002⪨≂⫏≰-12010002=⫏≰-10000001020","layer":2},{"info":"⫏≰2112010201⨫⇇↔⫏≰-10000001020=⫏≰-201112","layer":1},{"info":"⫏≰100212110≁↽≥⫏≰101112220=⫏≰12222122112","layer":3},{"info":"≤/⫏≰12222122112=⫏≰-12221222121","layer":2},{"info":"⫏≰22022010⋳⪒⫏≰22010222=⫏≰22001122","layer":3},{"info":"⫏≰1102102⪭≯⫏≰1122002=NaN","layer":3},{"info":"⫏≰22001122⪮%⊝NaN=NaN","layer":2},{"info":"⫏≰-12221222121⊴NaN=NaN","layer":1},{"info":"⫏≰-201112⫸⇳NaN=⫏≰0","layer":0}]}
{"id":10,"expression_no_base_symbol":"((⪸($1034$∷))⊭↱(($6381$⨑≵⋬$3224$)⩅⪻⪻))∓⋝(⊀($1834$∳⫺$1621$⊉≛↸(↞≼$1831$)))","expression":"((⪸(⫏≰1102022∷))⊭↱((⫏≰22202100⨑≵⋬⫏≰11102102)⩅⪻⪻))∓⋝(⊀(⫏≰2111221∳⫺⫏≰2020001⊉≛↸(↞≼⫏≰2111211)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":322,"operation_count":10,"complexity_ratio":32.2,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1034,"base":3}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6381,"base":3},"right_expr":{"type":"numeric_atoms","value":3224,"base":3}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1834,"base":3},"right_expr":{"type":"numeric_atoms","value":1621,"base":3}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1831,"base":3}}}}},"used_operators":["PoHhknlbAi","COABgblf1C","86A5ENbKR9","nFAOW8KTqp","kHoXpA7yos","XnXgA4xnOs","oPMjh9089D","DZ8iAZOCBD","AzXXKTstlj","DE7zCoGJt9"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=3102","layer":3},{"info":"compute unary expreesion, input=3102, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-52525","layer":2},{"info":"number node, value=6381","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=6381, right_input=3224, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=10716","layer":3},{"info":"compute unary expreesion, input=10716, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-1585393","layer":2},{"info":"compute binary expreesion, left_input=-52525, right_input=-1585393, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3065731","layer":1},{"info":"number node, value=1834","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=1621, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1831","layer":4},{"info":"compute unary expreesion, input=1831, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=14234","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=14234, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-14234","layer":2},{"info":"compute unary expreesion, input=-14234, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=214293","layer":1},{"info":"compute binary expreesion, left_input=-3065731, right_input=214293, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⪸(⫏≰1102022∷))⊭↱((⫏≰22202100⨑≵⋬⫏≰11102102)⩅⪻⪻))∓⋝(⊀(⫏≰2111221∳⫺⫏≰2020001⊉≛↸(↞≼⫏≰2111211)))=⫏≰2111","reverse_text":"⫏≰2111=((⪸(⫏≰1102022∷))⊭↱((⫏≰22202100⨑≵⋬⫏≰11102102)⩅⪻⪻))∓⋝(⊀(⫏≰2111221∳⫺⫏≰2020001⊉≛↸(↞≼⫏≰2111211)))","cot":[{"info":"⫏≰1102022∷=⫏≰11020220","layer":3},{"info":"⪸⫏≰11020220=⫏≰-2200001101","layer":2},{"info":"⫏≰22202100⨑≵⋬⫏≰11102102=⫏≰112200220","layer":3},{"info":"⫏≰112200220⩅⪻⪻=⫏≰-2222112202021","layer":2},{"info":"⫏≰-2200001101⊭↱⫏≰-2222112202021=⫏≰-12202202101121","layer":1},{"info":"⫏≰2111221∳⫺⫏≰2020001=⫏≰-100122","layer":3},{"info":"↞≼⫏≰2111211=⫏≰201112012","layer":3},{"info":"⫏≰-100122⊉≛↸⫏≰201112012=⫏≰-201112012","layer":2},{"info":"⊀⫏≰-201112012=⫏≰101212221210","layer":1},{"info":"⫏≰-12202202101121∓⋝⫏≰101212221210=⫏≰2111","layer":0}]}
{"id":11,"expression_no_base_symbol":"(∜⨇($7882$⪒$2886$))∺≝⩲($1436$⨪↰⇹$2832$)⨂≜($3323$⫒⫫$1474$)⋻⩜⩜(($2561$⩣⫁∢$4138$⪁($2497$∪⫐$7834$))⫚⫇)","expression":"(∜⨇(⫏≰101210221⪒⫏≰10221220))∺≝⩲(⫏≰1222012⨪↰⇹⫏≰10212220)⨂≜(⫏≰11120002⫒⫫⫏≰2000121)⋻⩜⩜((⫏≰10111212⩣⫁∢⫏≰12200021⪁(⫏≰10102111∪⫐⫏≰101202011))⫚⫇)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":58250682,"operation_count":11,"complexity_ratio":5295516.545454546,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7882,"base":3},"right_expr":{"type":"numeric_atoms","value":2886,"base":3}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1436,"base":3},"right_expr":{"type":"numeric_atoms","value":2832,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3323,"base":3},"right_expr":{"type":"numeric_atoms","value":1474,"base":3}}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2561,"base":3},"right_expr":{"type":"numeric_atoms","value":4138,"base":3}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2497,"base":3},"right_expr":{"type":"numeric_atoms","value":7834,"base":3}}}}},"used_operators":["oDCm7WA9JY","KPf6cnQVty","uFPyJr306J","f6k1SAg4EE","k1SHOSEABc","tmPS8pqC7x","6Ko8hGgeMq","SdCjLnB6rR","I7sXao9hZE","JDUIKTTSIa","7YooWSwCyH"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rJVOvQCfKK","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rJVOvQCfKK","2DDjHMKMc0"],"result":"⫏≰102212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7882","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=7882, right_input=2886, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10768","layer":3},{"info":"compute unary expreesion, input=-10768, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=1436","layer":4},{"info":"number node, value=2832","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=2832, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1436","layer":3},{"info":"number node, value=3323","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=3323, right_input=1474, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1436, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=2561","layer":4},{"info":"number node, value=4138","layer":4},{"info":"compute binary expreesion, left_input=2561, right_input=4138, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4961","layer":3},{"info":"number node, value=2497","layer":4},{"info":"number node, value=7834","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=7834, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2497","layer":3},{"info":"compute binary expreesion, left_input=-4961, right_input=2497, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=320","layer":0}],"base":3,"result_base":3,"text":"(∜⨇(⫏≰101210221⪒⫏≰10221220))∺≝⩲(⫏≰1222012⨪↰⇹⫏≰10212220)⨂≜(⫏≰11120002⫒⫫⫏≰2000121)⋻⩜⩜((⫏≰10111212⩣⫁∢⫏≰12200021⪁(⫏≰10102111∪⫐⫏≰101202011))⫚⫇)=⫏≰102212","reverse_text":"⫏≰102212=(∜⨇(⫏≰101210221⪒⫏≰10221220))∺≝⩲(⫏≰1222012⨪↰⇹⫏≰10212220)⨂≜(⫏≰11120002⫒⫫⫏≰2000121)⋻⩜⩜((⫏≰10111212⩣⫁∢⫏≰12200021⪁(⫏≰10102111∪⫐⫏≰101202011))⫚⫇)","cot":[{"info":"⫏≰101210221⪒⫏≰10221220=⫏≰-112202211","layer":3},{"info":"∜⨇⫏≰-112202211=NaN","layer":2},{"info":"⫏≰1222012⨪↰⇹⫏≰10212220=⫏≰1222012","layer":3},{"info":"⫏≰11120002⫒⫫⫏≰2000121=NaN","layer":3},{"info":"⫏≰1222012⨂≜NaN=NaN","layer":2},{"info":"NaN∺≝⩲NaN=⫏≰12221","layer":1},{"info":"⫏≰10111212⩣⫁∢⫏≰12200021=⫏≰-20210202","layer":3},{"info":"⫏≰10102111∪⫐⫏≰101202011=⫏≰10102111","layer":3},{"info":"⫏≰-20210202⪁⫏≰10102111=NaN","layer":2},{"info":"NaN⫚⫇=NaN","layer":1},{"info":"⫏≰12221⋻⩜⩜NaN=⫏≰102212","layer":0}]}
{"id":12,"expression_no_base_symbol":"⋂((⊿$6432$)⪘⫢($7161$⨱∎)⩧⪆(∨∊⋏$4827$⪬$1018$))","expression":"⋂((⊿⫏≰22211020)⪘⫢(⫏≰100211020⨱∎)⩧⪆(∨∊⋏⫏≰20121210⪬⫏≰1101201))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":688,"operation_count":7,"complexity_ratio":98.28571428571429,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":6432,"base":3}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":7161,"base":3}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4827,"base":3},"right_expr":{"type":"numeric_atoms","value":1018,"base":3}}}}},"used_operators":["BUOGQAYlQx","Ikt5ks8PT7","oacrs7FA3X","DO4fhlbJSI","MmTdOpaElr","R5aXW34M0v","Ez1Nq5fNfI"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","eewbuw0ToL","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","tifHPKVTfV","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⫏≰102201001120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6432","layer":4},{"info":"compute unary expreesion, input=6432, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-26466","layer":3},{"info":"number node, value=7161","layer":4},{"info":"compute unary expreesion, input=7161, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-26466, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=4827","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=4827, right_input=1018, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=16415","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=16415, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-16415","layer":1},{"info":"compute unary expreesion, input=-16415, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=230406","layer":0}],"base":3,"result_base":3,"text":"⋂((⊿⫏≰22211020)⪘⫢(⫏≰100211020⨱∎)⩧⪆(∨∊⋏⫏≰20121210⪬⫏≰1101201))=⫏≰102201001120","reverse_text":"⫏≰102201001120=⋂((⊿⫏≰22211020)⪘⫢(⫏≰100211020⨱∎)⩧⪆(∨∊⋏⫏≰20121210⪬⫏≰1101201))","cot":[{"info":"⊿⫏≰22211020=⫏≰-1100022020","layer":3},{"info":"⫏≰100211020⨱∎=⫏≰0","layer":3},{"info":"⫏≰-1100022020⪘⫢⫏≰0=⫏≰-1","layer":2},{"info":"⫏≰20121210⪬⫏≰1101201=⫏≰1200201","layer":3},{"info":"∨∊⋏⫏≰1200201=⫏≰211111222","layer":2},{"info":"⫏≰-1⩧⪆⫏≰211111222=⫏≰-211111222","layer":1},{"info":"⋂⫏≰-211111222=⫏≰102201001120","layer":0}]}
{"id":13,"expression_no_base_symbol":"($6081$⨑⩅≇$5932$∘$1158$⇂≾⫗$3964$)≁(⊿$6472$⨟⋌⩍$6185$)⪘⫢((⊲⪭($3436$⨁⊸⫻))⪍↜⋙($1374$⨜⨶$1367$⪊≅))","expression":"(⫏≰22100020⨑⩅≇⫏≰22010201∘⫏≰1120220⇂≾⫗⫏≰12102211)≁(⊿⫏≰22212201⨟⋌⩍⫏≰22111002)⪘⫢((⊲⪭(⫏≰11201021⨁⊸⫻))⪍↜⋙(⫏≰1212220⨜⨶⫏≰1212122⪊≅))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6192,"operation_count":12,"complexity_ratio":516.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":6081,"base":3},"right_expr":{"type":"numeric_atoms","value":5932,"base":3}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1158,"base":3},"right_expr":{"type":"numeric_atoms","value":3964,"base":3}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6472,"base":3},"right_expr":{"type":"numeric_atoms","value":6185,"base":3}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3436,"base":3}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1374,"base":3},"right_expr":{"type":"numeric_atoms","value":1367,"base":3}}}}},"used_operators":["oacrs7FA3X","8N2wDY1A35","Z5m6OM72h2","h92wMvzauj","aBQ6xLxuTc","DO4fhlbJSI","rGHVDoGpnC","L05ObWFQCd","k7HXdKtiEU","glklzrTFfD","bjFbhXSADs","HiPekx5b7W"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6081","layer":4},{"info":"number node, value=5932","layer":4},{"info":"compute binary expreesion, left_input=6081, right_input=5932, 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=-18243","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=3964","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=3964, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-18243, right_input=-676, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=18623","layer":2},{"info":"number node, value=6472","layer":4},{"info":"number node, value=6185","layer":4},{"info":"compute binary expreesion, left_input=6472, right_input=6185, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=18623, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=3436","layer":4},{"info":"compute unary expreesion, input=3436, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3436","layer":3},{"info":"compute unary expreesion, input=3436, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3610","layer":2},{"info":"number node, value=1374","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=1367, 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=-2478","layer":3},{"info":"compute unary expreesion, input=-2478, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3610, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=17267","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17267, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰22100020⨑⩅≇⫏≰22010201∘⫏≰1120220⇂≾⫗⫏≰12102211)≁(⊿⫏≰22212201⨟⋌⩍⫏≰22111002)⪘⫢((⊲⪭(⫏≰11201021⨁⊸⫻))⪍↜⋙(⫏≰1212220⨜⨶⫏≰1212122⪊≅))=NaN","reverse_text":"NaN=(⫏≰22100020⨑⩅≇⫏≰22010201∘⫏≰1120220⇂≾⫗⫏≰12102211)≁(⊿⫏≰22212201⨟⋌⩍⫏≰22111002)⪘⫢((⊲⪭(⫏≰11201021⨁⊸⫻))⪍↜⋙(⫏≰1212220⨜⨶⫏≰1212122⪊≅))","cot":[{"info":"⫏≰22100020⨑⩅≇⫏≰22010201=⫏≰-221000200","layer":3},{"info":"⫏≰1120220⇂≾⫗⫏≰12102211=⫏≰-221001","layer":3},{"info":"⫏≰-221000200∘⫏≰-221001=⫏≰221112202","layer":2},{"info":"⫏≰22212201⨟⋌⩍⫏≰22111002=NaN","layer":3},{"info":"⊿NaN=NaN","layer":2},{"info":"⫏≰221112202≁NaN=NaN","layer":1},{"info":"⫏≰11201021⨁⊸⫻=⫏≰11201021","layer":3},{"info":"⊲⪭⫏≰11201021=⫏≰-11221201","layer":2},{"info":"⫏≰1212220⨜⨶⫏≰1212122=⫏≰-10101210","layer":3},{"info":"⫏≰-10101210⪊≅=⫏≰0","layer":2},{"info":"⫏≰-11221201⪍↜⋙⫏≰0=⫏≰212200112","layer":1},{"info":"NaN⪘⫢⫏≰212200112=NaN","layer":0}]}
{"id":14,"expression_no_base_symbol":"((($4671$⪒$2510$)⨎$1040$≧⫂∧$1841$)⨫⇇↔(⇜⊴$2021$⊔$1619$))⨼⩣(($3337$⩺⪪$1212$)⩘($1310$⊹≧⊝)⨫⇇↔(⨝⨆$1957$⇂≾⫗$6102$))","expression":"(((⫏≰20102000⪒⫏≰10102222)⨎⫏≰1102112≧⫂∧⫏≰2112012)⨫⇇↔(⇜⊴⫏≰2202212⊔⫏≰2012222))⨼⩣((⫏≰11120121⩺⪪⫏≰1122220)⩘(⫏≰1210112⊹≧⊝)⨫⇇↔(⨝⨆⫏≰2200111⇂≾⫗⫏≰22101000))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":107039,"operation_count":13,"complexity_ratio":8233.76923076923,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4671,"base":3},"right_expr":{"type":"numeric_atoms","value":2510,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1040,"base":3},"right_expr":{"type":"numeric_atoms","value":1841,"base":3}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2021,"base":3},"right_expr":{"type":"numeric_atoms","value":1619,"base":3}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3337,"base":3},"right_expr":{"type":"numeric_atoms","value":1212,"base":3}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1310,"base":3}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1957,"base":3},"right_expr":{"type":"numeric_atoms","value":6102,"base":3}}}}},"used_operators":["JxwMv5le6e","LXhwmt4mBO","rJVOvQCfKK","f6k1SAg4EE","Ph9nP6C5qx","XwDhCwWbUn","E4l6HwMY31","cHh1gJQ2o6","uvdQJvN4PV","LxFB4K6j0n","bQ67fsrMVf","aBQ6xLxuTc"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","tifHPKVTfV","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4671","layer":4},{"info":"number node, value=2510","layer":4},{"info":"compute binary expreesion, left_input=4671, right_input=2510, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7181","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1841, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1368","layer":3},{"info":"compute binary expreesion, left_input=-7181, right_input=1368, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1368","layer":2},{"info":"number node, value=2021","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=1619, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9737","layer":3},{"info":"compute unary expreesion, input=9737, 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=-2284218","layer":2},{"info":"compute binary expreesion, left_input=1368, right_input=-2284218, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=3337","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=1212, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-34898","layer":3},{"info":"number node, value=1310","layer":4},{"info":"compute unary expreesion, input=1310, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-5240","layer":3},{"info":"compute binary expreesion, left_input=-34898, right_input=-5240, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1957","layer":4},{"info":"number node, value=6102","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=6102, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-885","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-885, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=-527, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰20102000⪒⫏≰10102222)⨎⫏≰1102112≧⫂∧⫏≰2112012)⨫⇇↔(⇜⊴⫏≰2202212⊔⫏≰2012222))⨼⩣((⫏≰11120121⩺⪪⫏≰1122220)⩘(⫏≰1210112⊹≧⊝)⨫⇇↔(⨝⨆⫏≰2200111⇂≾⫗⫏≰22101000))=NaN","reverse_text":"NaN=(((⫏≰20102000⪒⫏≰10102222)⨎⫏≰1102112≧⫂∧⫏≰2112012)⨫⇇↔(⇜⊴⫏≰2202212⊔⫏≰2012222))⨼⩣((⫏≰11120121⩺⪪⫏≰1122220)⩘(⫏≰1210112⊹≧⊝)⨫⇇↔(⨝⨆⫏≰2200111⇂≾⫗⫏≰22101000))","cot":[{"info":"⫏≰20102000⪒⫏≰10102222=⫏≰-100211222","layer":3},{"info":"⫏≰1102112≧⫂∧⫏≰2112012=⫏≰1212200","layer":3},{"info":"⫏≰-100211222⨎⫏≰1212200=⫏≰1212200","layer":2},{"info":"⫏≰2202212⊔⫏≰2012222=⫏≰111100122","layer":3},{"info":"⇜⊴⫏≰111100122=⫏≰-11022001100200","layer":2},{"info":"⫏≰1212200⨫⇇↔⫏≰-11022001100200=⫏≰-201112","layer":1},{"info":"⫏≰11120121⩺⪪⫏≰1122220=⫏≰-1202212112","layer":3},{"info":"⫏≰1210112⊹≧⊝=⫏≰-21012002","layer":3},{"info":"⫏≰-1202212112⩘⫏≰-21012002=⫏≰12221","layer":2},{"info":"⫏≰2200111⇂≾⫗⫏≰22101000=⫏≰-221001","layer":3},{"info":"⨝⨆⫏≰-221001=⫏≰-1012210","layer":2},{"info":"⫏≰12221⨫⇇↔⫏≰-1012210=⫏≰-201112","layer":1},{"info":"⫏≰-201112⨼⩣⫏≰-201112=NaN","layer":0}]}
{"id":15,"expression_no_base_symbol":"(⨛(⨝⨆$8470$)⨥⫆($2393$⇴∐$1226$))⩹(($1249$⪶≀⋏$1000$)⊬⨰($3169$⋣⋖$1069$))≁↽≥(($1358$⨸⪁$4288$)⪝$1514$⨂≜$3829$)","expression":"(⨛(⨝⨆⫏≰102121201)⨥⫆(⫏≰10021122⇴∐⫏≰1200102))⩹((⫏≰1201021⪶≀⋏⫏≰1101001)⊬⨰(⫏≰11100101⋣⋖⫏≰1110121))≁↽≥((⫏≰1212022⨸⪁⫏≰12212211)⪝⫏≰2002002⨂≜⫏≰12020211)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2113,"operation_count":12,"complexity_ratio":176.08333333333334,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":8470,"base":3}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2393,"base":3},"right_expr":{"type":"numeric_atoms","value":1226,"base":3}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1249,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3169,"base":3},"right_expr":{"type":"numeric_atoms","value":1069,"base":3}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1358,"base":3},"right_expr":{"type":"numeric_atoms","value":4288,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1514,"base":3},"right_expr":{"type":"numeric_atoms","value":3829,"base":3}}}}},"used_operators":["2Wsdkap16l","CoMdbyAt7R","yXekIHxTD4","bQ67fsrMVf","HnzytWxmAO","ncHt1X6cMc","s3Fd5m9Dh2","zR4jO40bMj","J0M6qkBnIM","wicAB68Tmb","g55IO6H4Gj","k1SHOSEABc"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","tifHPKVTfV","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8470","layer":4},{"info":"compute unary expreesion, input=8470, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=8261","layer":3},{"info":"number node, value=2393","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=1226, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8261, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=1249","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=1000, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-5979","layer":3},{"info":"number node, value=3169","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=1069, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3169","layer":3},{"info":"compute binary expreesion, left_input=-5979, right_input=3169, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=718","layer":2},{"info":"number node, value=1358","layer":4},{"info":"number node, value=4288","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=4288, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11292","layer":3},{"info":"number node, value=1514","layer":4},{"info":"number node, value=3829","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=3829, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11292, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=718, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"(⨛(⨝⨆⫏≰102121201)⨥⫆(⫏≰10021122⇴∐⫏≰1200102))⩹((⫏≰1201021⪶≀⋏⫏≰1101001)⊬⨰(⫏≰11100101⋣⋖⫏≰1110121))≁↽≥((⫏≰1212022⨸⪁⫏≰12212211)⪝⫏≰2002002⨂≜⫏≰12020211)=NaN","reverse_text":"NaN=(⨛(⨝⨆⫏≰102121201)⨥⫆(⫏≰10021122⇴∐⫏≰1200102))⩹((⫏≰1201021⪶≀⋏⫏≰1101001)⊬⨰(⫏≰11100101⋣⋖⫏≰1110121))≁↽≥((⫏≰1212022⨸⪁⫏≰12212211)⪝⫏≰2002002⨂≜⫏≰12020211)","cot":[{"info":"⨝⨆⫏≰102121201=⫏≰102022222","layer":3},{"info":"⫏≰10021122⇴∐⫏≰1200102=NaN","layer":3},{"info":"⫏≰102022222⨥⫆NaN=NaN","layer":2},{"info":"⨛NaN=NaN","layer":1},{"info":"⫏≰1201021⪶≀⋏⫏≰1101001=⫏≰-22012110","layer":3},{"info":"⫏≰11100101⋣⋖⫏≰1110121=⫏≰11100101","layer":3},{"info":"⫏≰-22012110⊬⨰⫏≰11100101=⫏≰222121","layer":2},{"info":"⫏≰1212022⨸⪁⫏≰12212211=⫏≰120111020","layer":3},{"info":"⫏≰2002002⨂≜⫏≰12020211=NaN","layer":3},{"info":"⫏≰120111020⪝NaN=NaN","layer":2},{"info":"⫏≰222121≁↽≥NaN=NaN","layer":1},{"info":"NaN⩹NaN=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"⇉-⫰(∷≠(($6140$≀⫉$1807$)⨟⋌⩍$1086$⪥$1616$))","expression":"⇉-⫰(∷≠((⫏≰22102102≀⫉⫏≰2110221)⨟⋌⩍⫏≰1111020⪥⫏≰2012212))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":197,"operation_count":5,"complexity_ratio":39.4,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6140,"base":3},"right_expr":{"type":"numeric_atoms","value":1807,"base":3}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1086,"base":3},"right_expr":{"type":"numeric_atoms","value":1616,"base":3}}}}},"used_operators":["IGFM8TAlm9","QiR2Oyf5Xj","rGHVDoGpnC","oZj3VtZNQx","QbnwKVWMIQ"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","7j4O788W3g","Tcnh7f0tEr","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6140","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=6140, right_input=1807, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1616, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=8996","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=8996, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇉-⫰(∷≠((⫏≰22102102≀⫉⫏≰2110221)⨟⋌⩍⫏≰1111020⪥⫏≰2012212))=NaN","reverse_text":"NaN=⇉-⫰(∷≠((⫏≰22102102≀⫉⫏≰2110221)⨟⋌⩍⫏≰1111020⪥⫏≰2012212))","cot":[{"info":"⫏≰22102102≀⫉⫏≰2110221=⫏≰10212112","layer":3},{"info":"⫏≰1111020⪥⫏≰2012212=⫏≰110100012","layer":3},{"info":"⫏≰10212112⨟⋌⩍⫏≰110100012=NaN","layer":2},{"info":"∷≠NaN=NaN","layer":1},{"info":"⇉-⫰NaN=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"(⨦⪝($5811$⋝⋈⪟$4422$))⪒⊣⊆(($1356$∙∹∝$1690$)⊉↱≁$1687$⇤$1318$)⪶≀⋏($4390$⪒⊣⊆$6583$⪍↜⋙($1956$⋓$1534$)⫸⊐$2234$⪝$4905$⨭⪣$4565$≁↽≥$3915$)","expression":"(⨦⪝(⫏≰21222020⋝⋈⪟⫏≰20001210))⪒⊣⊆((⫏≰1212020∙∹∝⫏≰2022121)⊉↱≁⫏≰2022111⇤⫏≰1210211)⪶≀⋏(⫏≰20000121⪒⊣⊆⫏≰100000211⪍↜⋙(⫏≰2200110⋓⫏≰2002211)⫸⊐⫏≰10001202⪝⫏≰20201200⨭⪣⫏≰20021002≁↽≥⫏≰12101000)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":633,"operation_count":14,"complexity_ratio":45.214285714285715,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5811,"base":3},"right_expr":{"type":"numeric_atoms","value":4422,"base":3}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1356,"base":3},"right_expr":{"type":"numeric_atoms","value":1690,"base":3}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1687,"base":3},"right_expr":{"type":"numeric_atoms","value":1318,"base":3}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4390,"base":3},"right_expr":{"type":"numeric_atoms","value":6583,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1956,"base":3},"right_expr":{"type":"numeric_atoms","value":1534,"base":3}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2234,"base":3},"right_expr":{"type":"numeric_atoms","value":4905,"base":3}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4565,"base":3},"right_expr":{"type":"numeric_atoms","value":3915,"base":3}}}}},"used_operators":["zR4jO40bMj","eRqsBgTDFp","SUjycxNXIR","2DDjHMKMc0","w2P8NbNXyL","HmxsFra2vL","YSKBFp38Pu","mqXw5SEYmG","L05ObWFQCd","T2fj7uvVaJ","kn8WO9XteQ","wicAB68Tmb","ncHt1X6cMc"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⫏≰-211201201200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5811","layer":4},{"info":"number node, value=4422","layer":4},{"info":"compute binary expreesion, left_input=5811, right_input=4422, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5811","layer":3},{"info":"compute unary expreesion, input=5811, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=1356","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=1690, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1687","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=1318, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-12177","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12177, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=73010","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=73010, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=149890","layer":1},{"info":"number node, value=4390","layer":4},{"info":"number node, value=6583","layer":4},{"info":"compute binary expreesion, left_input=4390, right_input=6583, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8780","layer":3},{"info":"number node, value=1956","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=1534, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8780, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=17560","layer":2},{"info":"number node, value=2234","layer":4},{"info":"number node, value=4905","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=4905, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=4565","layer":4},{"info":"number node, value=3915","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=3915, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=61359","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=61359, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-559","layer":2},{"info":"compute binary expreesion, left_input=17560, right_input=-559, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-1247","layer":1},{"info":"compute binary expreesion, left_input=149890, right_input=-1247, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-447408","layer":0}],"base":3,"result_base":3,"text":"(⨦⪝(⫏≰21222020⋝⋈⪟⫏≰20001210))⪒⊣⊆((⫏≰1212020∙∹∝⫏≰2022121)⊉↱≁⫏≰2022111⇤⫏≰1210211)⪶≀⋏(⫏≰20000121⪒⊣⊆⫏≰100000211⪍↜⋙(⫏≰2200110⋓⫏≰2002211)⫸⊐⫏≰10001202⪝⫏≰20201200⨭⪣⫏≰20021002≁↽≥⫏≰12101000)=⫏≰-211201201200","reverse_text":"⫏≰-211201201200=(⨦⪝(⫏≰21222020⋝⋈⪟⫏≰20001210))⪒⊣⊆((⫏≰1212020∙∹∝⫏≰2022121)⊉↱≁⫏≰2022111⇤⫏≰1210211)⪶≀⋏(⫏≰20000121⪒⊣⊆⫏≰100000211⪍↜⋙(⫏≰2200110⋓⫏≰2002211)⫸⊐⫏≰10001202⪝⫏≰20201200⨭⪣⫏≰20021002≁↽≥⫏≰12101000)","cot":[{"info":"⫏≰21222020⋝⋈⪟⫏≰20001210=⫏≰21222020","layer":3},{"info":"⨦⪝⫏≰21222020=⫏≰-2120210","layer":2},{"info":"⫏≰1212020∙∹∝⫏≰2022121=⫏≰0","layer":3},{"info":"⫏≰2022111⇤⫏≰1210211=⫏≰-121201000","layer":3},{"info":"⫏≰0⊉↱≁⫏≰-121201000=⫏≰10201011002","layer":2},{"info":"⫏≰-2120210⪒⊣⊆⫏≰10201011002=⫏≰21121121111","layer":1},{"info":"⫏≰20000121⪒⊣⊆⫏≰100000211=⫏≰110001012","layer":3},{"info":"⫏≰2200110⋓⫏≰2002211=⫏≰0","layer":3},{"info":"⫏≰110001012⪍↜⋙⫏≰0=⫏≰220002101","layer":2},{"info":"⫏≰10001202⪝⫏≰20201200=⫏≰22210","layer":3},{"info":"⫏≰20021002≁↽≥⫏≰12101000=⫏≰10010011120","layer":3},{"info":"⫏≰22210⨭⪣⫏≰10010011120=⫏≰-202201","layer":2},{"info":"⫏≰220002101⫸⊐⫏≰-202201=⫏≰-1201012","layer":1},{"info":"⫏≰21121121111⪶≀⋏⫏≰-1201012=⫏≰-211201201200","layer":0}]}
{"id":18,"expression_no_base_symbol":"(($1446$∲⫓$3929$)⨿($6014$⨻⩈⩔$3191$)⨽⪊≇)⇗⋫","expression":"((⫏≰1222120∲⫓⫏≰12101112)⨿(⫏≰22020202⨻⩈⩔⫏≰11101012)⨽⪊≇)⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":361,"operation_count":5,"complexity_ratio":72.2,"tree":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1446,"base":3},"right_expr":{"type":"numeric_atoms","value":3929,"base":3}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6014,"base":3},"right_expr":{"type":"numeric_atoms","value":3191,"base":3}}}}},"used_operators":["hpqmaQFPrd","nlCqmYiOvY","abYXlopdE0","i8ToyICDmI","nEsXyWgiOK"],"dependent_operators":["rxpJgHHUmx","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1446","layer":4},{"info":"number node, value=3929","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=3929, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6014","layer":4},{"info":"number node, value=3191","layer":4},{"info":"compute binary expreesion, left_input=6014, right_input=3191, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=39711","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=39711, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute unary expreesion, input=121, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-284","layer":1},{"info":"compute unary expreesion, input=-284, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1222120∲⫓⫏≰12101112)⨿(⫏≰22020202⨻⩈⩔⫏≰11101012)⨽⪊≇)⇗⋫=NaN","reverse_text":"NaN=((⫏≰1222120∲⫓⫏≰12101112)⨿(⫏≰22020202⨻⩈⩔⫏≰11101012)⨽⪊≇)⇗⋫","cot":[{"info":"⫏≰1222120∲⫓⫏≰12101112=⫏≰0","layer":3},{"info":"⫏≰22020202⨻⩈⩔⫏≰11101012=⫏≰2000110210","layer":3},{"info":"⫏≰0⨿⫏≰2000110210=⫏≰11111","layer":2},{"info":"⫏≰11111⨽⪊≇=⫏≰-101112","layer":1},{"info":"⫏≰-101112⇗⋫=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"⇁⨣⪵(↩⪖(⩏⊷≩$1074$))⪄($4224$⨐⩸⫘$1757$)⨽∌($1135$⪡$2327$)","expression":"⇁⨣⪵(↩⪖(⩏⊷≩⫏≰1110210))⪄(⫏≰12210110⨐⩸⫘⫏≰2102002)⨽∌(⫏≰1120001⪡⫏≰10012012)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":192,"operation_count":7,"complexity_ratio":27.428571428571427,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1074,"base":3}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4224,"base":3},"right_expr":{"type":"numeric_atoms","value":1757,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1135,"base":3},"right_expr":{"type":"numeric_atoms","value":2327,"base":3}}}}},"used_operators":["inkyxCbjAn","SUmda5xLS4","fG6uBQFnGz","uOZ1tnYMDE","9samAPKr6k","fu6greOZ01","oraRL2iQuh"],"dependent_operators":["B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","3ViojmjbAp","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1847","layer":3},{"info":"compute unary expreesion, input=1847, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-14064","layer":2},{"info":"number node, value=4224","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=1757, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1135","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=2327, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-14064, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇁⨣⪵(↩⪖(⩏⊷≩⫏≰1110210))⪄(⫏≰12210110⨐⩸⫘⫏≰2102002)⨽∌(⫏≰1120001⪡⫏≰10012012)=NaN","reverse_text":"NaN=⇁⨣⪵(↩⪖(⩏⊷≩⫏≰1110210))⪄(⫏≰12210110⨐⩸⫘⫏≰2102002)⨽∌(⫏≰1120001⪡⫏≰10012012)","cot":[{"info":"⩏⊷≩⫏≰1110210=⫏≰2112102","layer":3},{"info":"↩⪖⫏≰2112102=⫏≰-201021220","layer":2},{"info":"⫏≰12210110⨐⩸⫘⫏≰2102002=NaN","layer":3},{"info":"⫏≰1120001⪡⫏≰10012012=⫏≰10222","layer":3},{"info":"NaN⨽∌⫏≰10222=⫏≰0","layer":2},{"info":"⫏≰-201021220⪄⫏≰0=⫏≰12110101","layer":1},{"info":"⇁⨣⪵⫏≰12110101=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"(($2754$⨎$2638$)⩠)⫰⋱($2619$+⇶⊼$1040$∙⊟($4545$⊪))⋳⪒(($2146$⩘)-$1790$⩵∡$1583$)∴($1213$∌$8675$/$4625$≬⋮$5659$)","expression":"((⫏≰10210000⨎⫏≰10121201)⩠)⫰⋱(⫏≰10121000+⇶⊼⫏≰1102112∙⊟(⫏≰20020100⊪))⋳⪒((⫏≰2221111⩘)-⫏≰2110022⩵∡⫏≰2011122)∴(⫏≰1122221∌⫏≰102220022/⫏≰20100022≬⋮⫏≰21202121)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":197,"operation_count":14,"complexity_ratio":14.071428571428571,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2754,"base":3},"right_expr":{"type":"numeric_atoms","value":2638,"base":3}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2619,"base":3},"right_expr":{"type":"numeric_atoms","value":1040,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4545,"base":3}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":2146,"base":3}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1790,"base":3},"right_expr":{"type":"numeric_atoms","value":1583,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1213,"base":3},"right_expr":{"type":"numeric_atoms","value":8675,"base":3}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4625,"base":3},"right_expr":{"type":"numeric_atoms","value":5659,"base":3}}}}},"used_operators":["12rbrZMWeM","6o9Blt3TJ6","sJAwomhLZr","rJVOvQCfKK","SxTAKzQCrw","TpPTUOHfaN","zVYPLywUTj","hrf7POJlIJ","rysDP5nf3Z","wvHyciQT5X","Y7wcNGrDQJ","XhwjNDsVaA","8cLx32lpNA","kbkesczE7y"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9ICcGScMcE","dfKe02y8D2","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2754","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=2754, right_input=2638, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2638","layer":3},{"info":"compute unary expreesion, input=2638, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=2619","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=1040, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4545","layer":4},{"info":"compute unary expreesion, input=4545, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=1790","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=1583, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2118","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-2118, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2185","layer":2},{"info":"number node, value=1213","layer":4},{"info":"number node, value=8675","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=8675, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8675","layer":3},{"info":"number node, value=4625","layer":4},{"info":"number node, value=5659","layer":4},{"info":"compute binary expreesion, left_input=4625, right_input=5659, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-8675, right_input=868, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-10","layer":2},{"info":"compute binary expreesion, left_input=2185, right_input=-10, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6018","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6018, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10210000⨎⫏≰10121201)⩠)⫰⋱(⫏≰10121000+⇶⊼⫏≰1102112∙⊟(⫏≰20020100⊪))⋳⪒((⫏≰2221111⩘)-⫏≰2110022⩵∡⫏≰2011122)∴(⫏≰1122221∌⫏≰102220022/⫏≰20100022≬⋮⫏≰21202121)=NaN","reverse_text":"NaN=((⫏≰10210000⨎⫏≰10121201)⩠)⫰⋱(⫏≰10121000+⇶⊼⫏≰1102112∙⊟(⫏≰20020100⊪))⋳⪒((⫏≰2221111⩘)-⫏≰2110022⩵∡⫏≰2011122)∴(⫏≰1122221∌⫏≰102220022/⫏≰20100022≬⋮⫏≰21202121)","cot":[{"info":"⫏≰10210000⨎⫏≰10121201=⫏≰10121201","layer":3},{"info":"⫏≰10121201⩠=⫏≰0","layer":2},{"info":"⫏≰10121000+⇶⊼⫏≰1102112=NaN","layer":3},{"info":"⫏≰20020100⊪=⫏≰0","layer":3},{"info":"NaN∙⊟⫏≰0=NaN","layer":2},{"info":"⫏≰0⫰⋱NaN=NaN","layer":1},{"info":"⫏≰2221111⩘=⫏≰2111","layer":3},{"info":"⫏≰2110022⩵∡⫏≰2011122=⫏≰-2220110","layer":3},{"info":"⫏≰2111-⫏≰-2220110=⫏≰2222221","layer":2},{"info":"⫏≰1122221∌⫏≰102220022=⫏≰-102220022","layer":3},{"info":"⫏≰20100022≬⋮⫏≰21202121=⫏≰1012011","layer":3},{"info":"⫏≰-102220022/⫏≰1012011=⫏≰-101","layer":2},{"info":"⫏≰2222221∴⫏≰-101=⫏≰22020220","layer":1},{"info":"NaN⋳⪒⫏≰22020220=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"(($3030$*$1441$)⫯⪬∳($1385$⊢$1186$)⇼⇔∾(⇨(⇜⊴$3966$)))⋣⋖(((⊽$3218$)⫩⊇)⇐≅)","expression":"((⫏≰11011020*⫏≰1222101)⫯⪬∳(⫏≰1220022⊢⫏≰1121221)⇼⇔∾(⇨(⇜⊴⫏≰12102220)))⋣⋖(((⊽⫏≰11102012)⫩⊇)⇐≅)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1577,"operation_count":10,"complexity_ratio":157.7,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3030,"base":3},"right_expr":{"type":"numeric_atoms","value":1441,"base":3}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1385,"base":3},"right_expr":{"type":"numeric_atoms","value":1186,"base":3}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3966,"base":3}}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":3218,"base":3}}}}},"used_operators":["J0M6qkBnIM","tifHPKVTfV","d7ASUq0ydm","9HNa5Wba9A","5twsqlHp2o","G9tJMlZ94a","XwDhCwWbUn","wEfv7U73WA","BjRHVeLaeN","QxG7OkqoLX"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","k8jYdgA6NY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"⫏≰-220122111010011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3030","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=3030, right_input=1441, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4366230","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1186, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3014","layer":3},{"info":"compute binary expreesion, left_input=4366230, right_input=-3014, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13098757","layer":2},{"info":"number node, value=3966","layer":4},{"info":"compute unary expreesion, input=3966, 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=-922262","layer":3},{"info":"compute unary expreesion, input=-922262, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=13098757, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-13098757","layer":1},{"info":"number node, value=3218","layer":4},{"info":"compute unary expreesion, input=3218, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=7958","layer":3},{"info":"compute unary expreesion, input=7958, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7916","layer":2},{"info":"compute unary expreesion, input=-7916, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=7443","layer":1},{"info":"compute binary expreesion, left_input=-13098757, right_input=7443, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-13098757","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11011020*⫏≰1222101)⫯⪬∳(⫏≰1220022⊢⫏≰1121221)⇼⇔∾(⇨(⇜⊴⫏≰12102220)))⋣⋖(((⊽⫏≰11102012)⫩⊇)⇐≅)=⫏≰-220122111010011","reverse_text":"⫏≰-220122111010011=((⫏≰11011020*⫏≰1222101)⫯⪬∳(⫏≰1220022⊢⫏≰1121221)⇼⇔∾(⇨(⇜⊴⫏≰12102220)))⋣⋖(((⊽⫏≰11102012)⫩⊇)⇐≅)","cot":[{"info":"⫏≰11011020*⫏≰1222101=⫏≰22012211100020","layer":3},{"info":"⫏≰1220022⊢⫏≰1121221=⫏≰-11010122","layer":3},{"info":"⫏≰22012211100020⫯⪬∳⫏≰-11010122=⫏≰220122111010011","layer":2},{"info":"⇜⊴⫏≰12102220=⫏≰-1201212002212","layer":3},{"info":"⇨⫏≰-1201212002212=⫏≰0","layer":2},{"info":"⫏≰220122111010011⇼⇔∾⫏≰0=⫏≰-220122111010011","layer":1},{"info":"⊽⫏≰11102012=⫏≰101220202","layer":3},{"info":"⫏≰101220202⫩⊇=⫏≰-101212012","layer":2},{"info":"⫏≰-101212012⇐≅=⫏≰101012200","layer":1},{"info":"⫏≰-220122111010011⋣⋖⫏≰101012200=⫏≰-220122111010011","layer":0}]}
{"id":22,"expression_no_base_symbol":"((⋗⩬⋾$4999$⩣⫁∢$6978$)⫸⇳($6983$≨$1775$)⊮⊟↴($2439$⇯⋐))⪟⇏(-(⩎⋉(⊙↵-$1382$)))","expression":"((⋗⩬⋾⫏≰20212011⩣⫁∢⫏≰100120110)⫸⇳(⫏≰100120122≨⫏≰2102202)⊮⊟↴(⫏≰10100100⇯⋐))⪟⇏(-(⩎⋉(⊙↵-⫏≰1220012)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1713,"operation_count":10,"complexity_ratio":171.3,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4999,"base":3},"right_expr":{"type":"numeric_atoms","value":6978,"base":3}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6983,"base":3},"right_expr":{"type":"numeric_atoms","value":1775,"base":3}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2439,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1382,"base":3}}}}},"used_operators":["GODebY97qR","gx7XJ7hdpj","DpFCA1CohY","JDUIKTTSIa","QDVgd2eftb","0KMCeP1Jsh","LkLIoiE525","t8gj7n24qd","FlXk3pOYe8","oWn0xqSxBt"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4999","layer":4},{"info":"number node, value=6978","layer":4},{"info":"compute binary expreesion, left_input=4999, right_input=6978, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-9837","layer":3},{"info":"compute unary expreesion, input=-9837, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=29511","layer":2},{"info":"number node, value=6983","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=6983, right_input=1775, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-67354","layer":3},{"info":"number node, value=2439","layer":4},{"info":"compute unary expreesion, input=2439, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=8195","layer":3},{"info":"compute binary expreesion, left_input=-67354, right_input=8195, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=29511, 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":1},{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 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":2},{"info":"compute unary expreesion, input=67, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-67, 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":3,"result_base":3,"text":"((⋗⩬⋾⫏≰20212011⩣⫁∢⫏≰100120110)⫸⇳(⫏≰100120122≨⫏≰2102202)⊮⊟↴(⫏≰10100100⇯⋐))⪟⇏(-(⩎⋉(⊙↵-⫏≰1220012)))=⫏≰0","reverse_text":"⫏≰0=((⋗⩬⋾⫏≰20212011⩣⫁∢⫏≰100120110)⫸⇳(⫏≰100120122≨⫏≰2102202)⊮⊟↴(⫏≰10100100⇯⋐))⪟⇏(-(⩎⋉(⊙↵-⫏≰1220012)))","cot":[{"info":"⫏≰20212011⩣⫁∢⫏≰100120110=⫏≰-111111100","layer":3},{"info":"⋗⩬⋾⫏≰-111111100=⫏≰1111111000","layer":2},{"info":"⫏≰100120122≨⫏≰2102202=⫏≰-10102101121","layer":3},{"info":"⫏≰10100100⇯⋐=⫏≰102020112","layer":3},{"info":"⫏≰-10102101121⊮⊟↴⫏≰102020112=⫏≰0","layer":2},{"info":"⫏≰1111111000⫸⇳⫏≰0=⫏≰0","layer":1},{"info":"⊙↵-⫏≰1220012=⫏≰-1","layer":3},{"info":"⩎⋉⫏≰-1=⫏≰2111","layer":2},{"info":"-⫏≰2111=⫏≰-2111","layer":1},{"info":"⫏≰0⪟⇏⫏≰-2111=⫏≰0","layer":0}]}
{"id":23,"expression_no_base_symbol":"(($6247$⨽$1530$)∀⇚≩$8658$⊬⨰$6147$≦≮≮)∊∟⩊(($1272$⪉⨛$1567$)⊬⨰($1985$+⪬∐$4320$))⫣⪄⊒(⇜⊴$2298$↤⩊$1224$)","expression":"((⫏≰22120101⨽⫏≰2002200)∀⇚≩⫏≰102212200⊬⨰⫏≰22102200≦≮≮)∊∟⩊((⫏≰1202010⪉⨛⫏≰2011001)⊬⨰(⫏≰2201112+⪬∐⫏≰12221000))⫣⪄⊒(⇜⊴⫏≰10011010↤⩊⫏≰1200100)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6607,"operation_count":11,"complexity_ratio":600.6363636363636,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6247,"base":3},"right_expr":{"type":"numeric_atoms","value":1530,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":8658,"base":3},"right_expr":{"type":"numeric_atoms","value":6147,"base":3}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1272,"base":3},"right_expr":{"type":"numeric_atoms","value":1567,"base":3}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1985,"base":3},"right_expr":{"type":"numeric_atoms","value":4320,"base":3}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2298,"base":3},"right_expr":{"type":"numeric_atoms","value":1224,"base":3}}}}},"used_operators":["ddLRYrp01A","D4vGDi5EA2","LRNGc0VcxI","8HhzD0ZcuI","s3Fd5m9Dh2","RabNbG55vr","EWw2JM7wp4","2GS7woTJqF","XwDhCwWbUn","13rbtpv6ld"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6247","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=6247, right_input=1530, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-117078303","layer":3},{"info":"number node, value=8658","layer":4},{"info":"number node, value=6147","layer":4},{"info":"compute binary expreesion, left_input=8658, right_input=6147, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=32190","layer":3},{"info":"compute binary expreesion, left_input=-117078303, right_input=32190, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=1272","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1567, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2464","layer":3},{"info":"number node, value=1985","layer":4},{"info":"number node, value=4320","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=4320, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5955","layer":3},{"info":"compute binary expreesion, left_input=2464, right_input=-5955, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-22412","layer":2},{"info":"number node, value=2298","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=1224, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-22412, right_input=nan, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22120101⨽⫏≰2002200)∀⇚≩⫏≰102212200⊬⨰⫏≰22102200≦≮≮)∊∟⩊((⫏≰1202010⪉⨛⫏≰2011001)⊬⨰(⫏≰2201112+⪬∐⫏≰12221000))⫣⪄⊒(⇜⊴⫏≰10011010↤⩊⫏≰1200100)=NaN","reverse_text":"NaN=((⫏≰22120101⨽⫏≰2002200)∀⇚≩⫏≰102212200⊬⨰⫏≰22102200≦≮≮)∊∟⩊((⫏≰1202010⪉⨛⫏≰2011001)⊬⨰(⫏≰2201112+⪬∐⫏≰12221000))⫣⪄⊒(⇜⊴⫏≰10011010↤⩊⫏≰1200100)","cot":[{"info":"⫏≰22120101⨽⫏≰2002200=⫏≰-22011022012020110","layer":3},{"info":"⫏≰102212200⊬⨰⫏≰22102200=⫏≰1122011020","layer":3},{"info":"⫏≰-22011022012020110∀⇚≩⫏≰1122011020=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⫏≰1202010⪉⨛⫏≰2011001=⫏≰10101021","layer":3},{"info":"⫏≰2201112+⪬∐⫏≰12221000=⫏≰-22011120","layer":3},{"info":"⫏≰10101021⊬⨰⫏≰-22011120=⫏≰-1010202002","layer":2},{"info":"⫏≰10011010↤⩊⫏≰1200100=NaN","layer":3},{"info":"⇜⊴NaN=NaN","layer":2},{"info":"⫏≰-1010202002⫣⪄⊒NaN=⫏≰12221","layer":1},{"info":"NaN∊∟⩊⫏≰12221=NaN","layer":0}]}
{"id":24,"expression_no_base_symbol":"(($2537$≝⊿$1692$)⨕⋳)∺≝⩲(($1522$∖$1364$)%$1389$∷$4402$)⩹(⊤⊝$1827$∇⊂⋱$3815$⪍↜⋙($1936$⇐≅))","expression":"((⫏≰10110222≝⊿⫏≰2022200)⨕⋳)∺≝⩲((⫏≰2002101∖⫏≰1212112)%⫏≰1220110∷⫏≰20001001)⩹(⊤⊝⫏≰2111200∇⊂⋱⫏≰12020022⪍↜⋙(⫏≰2122201⇐≅))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":473,"operation_count":11,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2537,"base":3},"right_expr":{"type":"numeric_atoms","value":1692,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1522,"base":3},"right_expr":{"type":"numeric_atoms","value":1364,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1389,"base":3},"right_expr":{"type":"numeric_atoms","value":4402,"base":3}}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1827,"base":3},"right_expr":{"type":"numeric_atoms","value":3815,"base":3}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1936,"base":3}}}}},"used_operators":["2Wsdkap16l","KPf6cnQVty","4X4GscPmMf","OKKcZfAt5B","k8jYdgA6NY","tXD093vOjl","D3AQDKkPcf","rXAclfmB4M","L05ObWFQCd","nhYeJWJD5X","wEfv7U73WA"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","12rbrZMWeM","rysDP5nf3Z","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sdazOOVcIp","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫏≰-2220020222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2537","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=1692, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6454","layer":3},{"info":"compute unary expreesion, input=-6454, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-727654","layer":2},{"info":"number node, value=1522","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1364, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1389","layer":4},{"info":"number node, value=4402","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=4402, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4402","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4402, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-727654, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1827","layer":4},{"info":"number node, value=3815","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=3815, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3108","layer":3},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=5776","layer":3},{"info":"compute binary expreesion, left_input=3108, right_input=5776, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-27875","layer":2},{"info":"compute unary expreesion, input=-27875, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-57048","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-57048, 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=-57050","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10110222≝⊿⫏≰2022200)⨕⋳)∺≝⩲((⫏≰2002101∖⫏≰1212112)%⫏≰1220110∷⫏≰20001001)⩹(⊤⊝⫏≰2111200∇⊂⋱⫏≰12020022⪍↜⋙(⫏≰2122201⇐≅))=⫏≰-2220020222","reverse_text":"⫏≰-2220020222=((⫏≰10110222≝⊿⫏≰2022200)⨕⋳)∺≝⩲((⫏≰2002101∖⫏≰1212112)%⫏≰1220110∷⫏≰20001001)⩹(⊤⊝⫏≰2111200∇⊂⋱⫏≰12020022⪍↜⋙(⫏≰2122201⇐≅))","cot":[{"info":"⫏≰10110222≝⊿⫏≰2022200=⫏≰-22212001","layer":3},{"info":"⫏≰-22212001⨕⋳=⫏≰-1100222011011","layer":2},{"info":"⫏≰2002101∖⫏≰1212112=⫏≰0","layer":3},{"info":"⫏≰1220110∷⫏≰20001001=⫏≰20001001","layer":3},{"info":"⫏≰0%⫏≰20001001=⫏≰0","layer":2},{"info":"⫏≰-1100222011011∺≝⩲⫏≰0=⫏≰12221","layer":1},{"info":"⫏≰2111200∇⊂⋱⫏≰12020022=⫏≰11021010","layer":3},{"info":"⫏≰2122201⇐≅=⫏≰21220221","layer":3},{"info":"⫏≰11021010⪍↜⋙⫏≰21220221=⫏≰-1102020102","layer":2},{"info":"⊤⊝⫏≰-1102020102=⫏≰-2220020220","layer":1},{"info":"⫏≰12221⩹⫏≰-2220020220=⫏≰-2220020222","layer":0}]}
{"id":25,"expression_no_base_symbol":"(($2596$⨔≚≋$1214$)∓⋝(⋗⩬⋾$2027$)∙⊟($2149$⪄$2101$)⨼⩣($2337$-$5770$))∌($1142$↺$6074$⪉⨛(⫟$4162$))⩼⇪↪($2776$⪢$1588$⩇∃⫛$1725$∇⊂⋱$5302$)","expression":"((⫏≰10120011⨔≚≋⫏≰1122222)∓⋝(⋗⩬⋾⫏≰2210002)∙⊟(⫏≰2221121⪄⫏≰2212211)⨼⩣(⫏≰10012120-⫏≰21220201))∌(⫏≰1120022↺⫏≰22022222⪉⨛(⫟⫏≰12201011))⩼⇪↪(⫏≰10210211⪢⫏≰2011211⩇∃⫛⫏≰2100220∇⊂⋱⫏≰21021101)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14375,"operation_count":15,"complexity_ratio":958.3333333333334,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2596,"base":3},"right_expr":{"type":"numeric_atoms","value":1214,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2027,"base":3}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2149,"base":3},"right_expr":{"type":"numeric_atoms","value":2101,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2337,"base":3},"right_expr":{"type":"numeric_atoms","value":5770,"base":3}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1142,"base":3},"right_expr":{"type":"numeric_atoms","value":6074,"base":3}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":4162,"base":3}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2776,"base":3},"right_expr":{"type":"numeric_atoms","value":1588,"base":3}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1725,"base":3},"right_expr":{"type":"numeric_atoms","value":5302,"base":3}}}}},"used_operators":["8cLx32lpNA","SxTAKzQCrw","PoHhknlbAi","Z57zeUYC9z","DpFCA1CohY","JxwMv5le6e","SUmda5xLS4","rysDP5nf3Z","ocnLzx9CaJ","EWw2JM7wp4","7j4O788W3g","z4E1FaHLuy","1aApVXNlOP","dWAJyo7jo9","nhYeJWJD5X"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2596","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=1214, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2027","layer":4},{"info":"compute unary expreesion, input=2027, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6081","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-6081, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=2149","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=2101, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-322545","layer":3},{"info":"number node, value=2337","layer":4},{"info":"number node, value=5770","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=5770, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3433","layer":3},{"info":"compute binary expreesion, left_input=-322545, right_input=-3433, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21414","layer":1},{"info":"number node, value=1142","layer":4},{"info":"number node, value=6074","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=6074, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6074","layer":3},{"info":"number node, value=4162","layer":4},{"info":"compute unary expreesion, input=4162, 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=-11579","layer":3},{"info":"compute binary expreesion, left_input=6074, right_input=-11579, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=30016","layer":2},{"info":"number node, value=2776","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=1588, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1725","layer":4},{"info":"number node, value=5302","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=5302, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2904","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2904, 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":2},{"info":"compute binary expreesion, left_input=30016, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=21414, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10120011⨔≚≋⫏≰1122222)∓⋝(⋗⩬⋾⫏≰2210002)∙⊟(⫏≰2221121⪄⫏≰2212211)⨼⩣(⫏≰10012120-⫏≰21220201))∌(⫏≰1120022↺⫏≰22022222⪉⨛(⫟⫏≰12201011))⩼⇪↪(⫏≰10210211⪢⫏≰2011211⩇∃⫛⫏≰2100220∇⊂⋱⫏≰21021101)=NaN","reverse_text":"NaN=((⫏≰10120011⨔≚≋⫏≰1122222)∓⋝(⋗⩬⋾⫏≰2210002)∙⊟(⫏≰2221121⪄⫏≰2212211)⨼⩣(⫏≰10012120-⫏≰21220201))∌(⫏≰1120022↺⫏≰22022222⪉⨛(⫟⫏≰12201011))⩼⇪↪(⫏≰10210211⪢⫏≰2011211⩇∃⫛⫏≰2100220∇⊂⋱⫏≰21021101)","cot":[{"info":"⫏≰10120011⨔≚≋⫏≰1122222=⫏≰111112122","layer":3},{"info":"⋗⩬⋾⫏≰2210002=⫏≰-22100020","layer":3},{"info":"⫏≰111112122∓⋝⫏≰-22100020=⫏≰2111","layer":2},{"info":"⫏≰2221121⪄⫏≰2212211=⫏≰-121101110010","layer":3},{"info":"⫏≰10012120-⫏≰21220201=⫏≰-11201011","layer":3},{"info":"⫏≰-121101110010⨼⩣⫏≰-11201011=NaN","layer":2},{"info":"⫏≰2111∙⊟NaN=⫏≰1002101010","layer":1},{"info":"⫏≰1120022↺⫏≰22022222=⫏≰22022222","layer":3},{"info":"⫟⫏≰12201011=⫏≰-120212212","layer":3},{"info":"⫏≰22022222⪉⨛⫏≰-120212212=⫏≰1112011201","layer":2},{"info":"⫏≰10210211⪢⫏≰2011211=NaN","layer":3},{"info":"⫏≰2100220∇⊂⋱⫏≰21021101=⫏≰10222120","layer":3},{"info":"NaN⩇∃⫛⫏≰10222120=NaN","layer":2},{"info":"⫏≰1112011201⩼⇪↪NaN=NaN","layer":1},{"info":"⫏≰1002101010∌NaN=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"((($4944$%$4216$)⊨(≦∁$9104$))⊢)≝⊿($5771$≀⫉$2453$∑⇟⊟($5295$⋥≓≎$4630$)≒∊(↑$2067$↤⩊$5914$))","expression":"(((⫏≰20210010%⫏≰12210011)⊨(≦∁⫏≰110111012))⊢)≝⊿(⫏≰21220202≀⫉⫏≰10100212∑⇟⊟(⫏≰21021010⋥≓≎⫏≰20100111)≒∊(↑⫏≰2211120↤⩊⫏≰22010001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":421,"operation_count":11,"complexity_ratio":38.27272727272727,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4944,"base":3},"right_expr":{"type":"numeric_atoms","value":4216,"base":3}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":9104,"base":3}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5771,"base":3},"right_expr":{"type":"numeric_atoms","value":2453,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5295,"base":3},"right_expr":{"type":"numeric_atoms","value":4630,"base":3}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2067,"base":3},"right_expr":{"type":"numeric_atoms","value":5914,"base":3}}}}},"used_operators":["OKKcZfAt5B","40aOVDgCDB","vg4gO5BX6G","k8jYdgA6NY","9ICcGScMcE","5KTvxBwnZo","U7g4x0WXJJ","oZj3VtZNQx","Qy55tPpLXF","tR7O2zTn5j","13rbtpv6ld"],"dependent_operators":["12rbrZMWeM","NTOWxs364D","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4944","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=4944, right_input=4216, op_id = k8jYdgA6NY binary_op_definition= 'None', output=728","layer":3},{"info":"number node, value=9104","layer":4},{"info":"compute unary expreesion, input=9104, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=9104","layer":3},{"info":"compute binary expreesion, left_input=728, right_input=9104, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=3943","layer":2},{"info":"compute unary expreesion, input=3943, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-4190","layer":1},{"info":"number node, value=5771","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=5771, right_input=2453, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5295","layer":4},{"info":"number node, value=4630","layer":4},{"info":"compute binary expreesion, left_input=5295, right_input=4630, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3998","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=3998, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2067","layer":4},{"info":"number node, value=5914","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=5914, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4190, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰20210010%⫏≰12210011)⊨(≦∁⫏≰110111012))⊢)≝⊿(⫏≰21220202≀⫉⫏≰10100212∑⇟⊟(⫏≰21021010⋥≓≎⫏≰20100111)≒∊(↑⫏≰2211120↤⩊⫏≰22010001))=NaN","reverse_text":"NaN=(((⫏≰20210010%⫏≰12210011)⊨(≦∁⫏≰110111012))⊢)≝⊿(⫏≰21220202≀⫉⫏≰10100212∑⇟⊟(⫏≰21021010⋥≓≎⫏≰20100111)≒∊(↑⫏≰2211120↤⩊⫏≰22010001))","cot":[{"info":"⫏≰20210010%⫏≰12210011=⫏≰222222","layer":3},{"info":"≦∁⫏≰110111012=⫏≰110111012","layer":3},{"info":"⫏≰222222⊨⫏≰110111012=⫏≰12102001","layer":2},{"info":"⫏≰12102001⊢=⫏≰-12202012","layer":1},{"info":"⫏≰21220202≀⫉⫏≰10100212=⫏≰10212112","layer":3},{"info":"⫏≰21021010⋥≓≎⫏≰20100111=⫏≰12111002","layer":3},{"info":"⫏≰10212112∑⇟⊟⫏≰12111002=NaN","layer":2},{"info":"⫏≰2211120↤⩊⫏≰22010001=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"NaN≒∊NaN=NaN","layer":1},{"info":"⫏≰-12202012≝⊿NaN=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"⨑⩽⪐($3971$⇐≅)⨫⇇↔$9488$≚⊃≕$2902$⋝⋈⪟(⋼∭⪍$1844$)∓⋝($6819$↼⊘⨖$4151$)","expression":"⨑⩽⪐(⫏≰12110002⇐≅)⨫⇇↔⫏≰111000102≚⊃≕⫏≰10222111⋝⋈⪟(⋼∭⪍⫏≰2112022)∓⋝(⫏≰100100120↼⊘⨖⫏≰12200202)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":110,"operation_count":8,"complexity_ratio":13.75,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":3971,"base":3}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":9488,"base":3},"right_expr":{"type":"numeric_atoms","value":2902,"base":3}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1844,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":6819,"base":3},"right_expr":{"type":"numeric_atoms","value":4151,"base":3}}}}},"used_operators":["AF7qkfDlqP","2DDjHMKMc0","LXhwmt4mBO","wEfv7U73WA","Bmrmz2XGnR","PoHhknlbAi","DbCuESL50I","bPywburJMS"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⫏≰2112021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3971","layer":4},{"info":"compute unary expreesion, input=3971, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=11881","layer":3},{"info":"number node, value=9488","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=9488, right_input=2902, 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":3},{"info":"compute binary expreesion, left_input=11881, right_input=67, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1844","layer":4},{"info":"compute unary expreesion, input=1844, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-5636","layer":3},{"info":"number node, value=6819","layer":4},{"info":"number node, value=4151","layer":4},{"info":"compute binary expreesion, left_input=6819, right_input=4151, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8080","layer":3},{"info":"compute binary expreesion, left_input=-5636, right_input=8080, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=67, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=1843","layer":0}],"base":3,"result_base":3,"text":"⨑⩽⪐(⫏≰12110002⇐≅)⨫⇇↔⫏≰111000102≚⊃≕⫏≰10222111⋝⋈⪟(⋼∭⪍⫏≰2112022)∓⋝(⫏≰100100120↼⊘⨖⫏≰12200202)=⫏≰2112021","reverse_text":"⫏≰2112021=⨑⩽⪐(⫏≰12110002⇐≅)⨫⇇↔⫏≰111000102≚⊃≕⫏≰10222111⋝⋈⪟(⋼∭⪍⫏≰2112022)∓⋝(⫏≰100100120↼⊘⨖⫏≰12200202)","cot":[{"info":"⫏≰12110002⇐≅=⫏≰121022001","layer":3},{"info":"⫏≰111000102≚⊃≕⫏≰10222111=⫏≰2111","layer":3},{"info":"⫏≰121022001⨫⇇↔⫏≰2111=⫏≰-201112","layer":2},{"info":"⋼∭⪍⫏≰2112022=⫏≰-21201202","layer":3},{"info":"⫏≰100100120↼⊘⨖⫏≰12200202=⫏≰102002021","layer":3},{"info":"⫏≰-21201202∓⋝⫏≰102002021=⫏≰2111","layer":2},{"info":"⫏≰-201112⋝⋈⪟⫏≰2111=⫏≰-201112","layer":1},{"info":"⨑⩽⪐⫏≰-201112=⫏≰2112021","layer":0}]}
{"id":28,"expression_no_base_symbol":"(($1625$↬$2870$)⫉⨲⊜($3788$⩹$1153$)⪕$2647$∓⋝$5162$⫁⪎(∨∊⋏$9377$))⨜⨶((∨∊⋏$6453$)⊲⩕⊾($5809$⫢⨠$2501$)/($1770$⨐⩸⫘$5360$)⫁⪎($2289$≣⋋))","expression":"((⫏≰2020012↬⫏≰10221022)⫉⨲⊜(⫏≰12012022⩹⫏≰1120201)⪕⫏≰10122001∓⋝⫏≰21002012⫁⪎(∨∊⋏⫏≰110212022))⨜⨶((∨∊⋏⫏≰22212000)⊲⩕⊾(⫏≰21222011⫢⨠⫏≰10102122)/(⫏≰2102120⨐⩸⫘⫏≰21100112)⫁⪎(⫏≰10010210≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":850,"operation_count":15,"complexity_ratio":56.666666666666664,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1625,"base":3},"right_expr":{"type":"numeric_atoms","value":2870,"base":3}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3788,"base":3},"right_expr":{"type":"numeric_atoms","value":1153,"base":3}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2647,"base":3},"right_expr":{"type":"numeric_atoms","value":5162,"base":3}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":9377,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":6453,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5809,"base":3},"right_expr":{"type":"numeric_atoms","value":2501,"base":3}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1770,"base":3},"right_expr":{"type":"numeric_atoms","value":5360,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2289,"base":3}}}}},"used_operators":["HiPekx5b7W","umQnsF7QlU","WhqkvtTD3t","B5M0gjZbta","2Wsdkap16l","xRrnTEsQ6j","PoHhknlbAi","R5aXW34M0v","XhwjNDsVaA","DmTXOeWf9t","xlXykHWxX1","fu6greOZ01","Tcnh7f0tEr"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eewbuw0ToL","zVYPLywUTj","rGHVDoGpnC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=2870, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3788","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=1153, 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=1151","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1151, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"number node, value=2647","layer":4},{"info":"number node, value=5162","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=5162, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=9377","layer":4},{"info":"compute unary expreesion, input=9377, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=211847","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=211847, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-211780","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-211780, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=6453","layer":4},{"info":"compute unary expreesion, input=6453, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=141671","layer":3},{"info":"number node, value=5809","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=5809, right_input=2501, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=141671, right_input=160, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-2264966","layer":2},{"info":"number node, value=1770","layer":4},{"info":"number node, value=5360","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=5360, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2289","layer":4},{"info":"compute unary expreesion, input=2289, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2264966, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2020012↬⫏≰10221022)⫉⨲⊜(⫏≰12012022⩹⫏≰1120201)⪕⫏≰10122001∓⋝⫏≰21002012⫁⪎(∨∊⋏⫏≰110212022))⨜⨶((∨∊⋏⫏≰22212000)⊲⩕⊾(⫏≰21222011⫢⨠⫏≰10102122)/(⫏≰2102120⨐⩸⫘⫏≰21100112)⫁⪎(⫏≰10010210≣⋋))=NaN","reverse_text":"NaN=((⫏≰2020012↬⫏≰10221022)⫉⨲⊜(⫏≰12012022⩹⫏≰1120201)⪕⫏≰10122001∓⋝⫏≰21002012⫁⪎(∨∊⋏⫏≰110212022))⨜⨶((∨∊⋏⫏≰22212000)⊲⩕⊾(⫏≰21222011⫢⨠⫏≰10102122)/(⫏≰2102120⨐⩸⫘⫏≰21100112)⫁⪎(⫏≰10010210≣⋋))","cot":[{"info":"⫏≰2020012↬⫏≰10221022=NaN","layer":3},{"info":"⫏≰12012022⩹⫏≰1120201=⫏≰1120122","layer":3},{"info":"NaN⫉⨲⊜⫏≰1120122=NaN","layer":2},{"info":"⫏≰10122001∓⋝⫏≰21002012=⫏≰2111","layer":3},{"info":"∨∊⋏⫏≰110212022=⫏≰101202121012","layer":3},{"info":"⫏≰2111⫁⪎⫏≰101202121012=⫏≰-101202111201","layer":2},{"info":"NaN⪕⫏≰-101202111201=⫏≰1021122","layer":1},{"info":"∨∊⋏⫏≰22212000=⫏≰21012100002","layer":3},{"info":"⫏≰21222011⫢⨠⫏≰10102122=⫏≰12221","layer":3},{"info":"⫏≰21012100002⊲⩕⊾⫏≰12221=⫏≰-11021001221122","layer":2},{"info":"⫏≰2102120⨐⩸⫘⫏≰21100112=NaN","layer":3},{"info":"⫏≰10010210≣⋋=⫏≰0","layer":3},{"info":"NaN⫁⪎⫏≰0=NaN","layer":2},{"info":"⫏≰-11021001221122/NaN=NaN","layer":1},{"info":"⫏≰1021122⨜⨶NaN=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"((≋$1843$)⪃⊛⇣($2828$⊬⨰$3246$)⫑)⩒⫫($2514$⪕$2160$∈)⩍⋽⫝̸(($5771$⪹)∑⇟⊟($1447$∷$4105$))","expression":"((≋⫏≰2112021)⪃⊛⇣(⫏≰10212202⊬⨰⫏≰11110020)⫑)⩒⫫(⫏≰10110010⪕⫏≰2222000∈)⩍⋽⫝̸((⫏≰21220202⪹)∑⇟⊟(⫏≰1222121∷⫏≰12122001))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":799,"operation_count":11,"complexity_ratio":72.63636363636364,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1843,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2828,"base":3},"right_expr":{"type":"numeric_atoms","value":3246,"base":3}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2514,"base":3},"right_expr":{"type":"numeric_atoms","value":2160,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":5771,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1447,"base":3},"right_expr":{"type":"numeric_atoms","value":4105,"base":3}}}}},"used_operators":["KFSx94NKJn","CgIo77xlM2","rrgAzCduG9","61wBmkZwlr","s3Fd5m9Dh2","BiWNJpBvwn","ztP7wcbY7m","umQnsF7QlU","U7g4x0WXJJ","B3sABdIn96","D3AQDKkPcf"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","7j4O788W3g","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1843","layer":3},{"info":"number node, value=2828","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=3246, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14756","layer":3},{"info":"compute binary expreesion, left_input=1843, right_input=14756, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":1},{"info":"number node, value=2514","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=2160, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3769","layer":3},{"info":"compute unary expreesion, input=3769, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=10636","layer":2},{"info":"number node, value=5771","layer":4},{"info":"compute unary expreesion, input=5771, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=16034","layer":3},{"info":"number node, value=1447","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=4105, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4105","layer":3},{"info":"compute binary expreesion, left_input=16034, right_input=4105, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10636, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((≋⫏≰2112021)⪃⊛⇣(⫏≰10212202⊬⨰⫏≰11110020)⫑)⩒⫫(⫏≰10110010⪕⫏≰2222000∈)⩍⋽⫝̸((⫏≰21220202⪹)∑⇟⊟(⫏≰1222121∷⫏≰12122001))=NaN","reverse_text":"NaN=((≋⫏≰2112021)⪃⊛⇣(⫏≰10212202⊬⨰⫏≰11110020)⫑)⩒⫫(⫏≰10110010⪕⫏≰2222000∈)⩍⋽⫝̸((⫏≰21220202⪹)∑⇟⊟(⫏≰1222121∷⫏≰12122001))","cot":[{"info":"≋⫏≰2112021=⫏≰2112021","layer":3},{"info":"⫏≰10212202⊬⨰⫏≰11110020=⫏≰202020112","layer":3},{"info":"⫏≰2112021⪃⊛⇣⫏≰202020112=⫏≰1200201","layer":2},{"info":"⫏≰1200201⫑=⫏≰12110101","layer":1},{"info":"⫏≰10110010⪕⫏≰2222000=⫏≰12011121","layer":3},{"info":"⫏≰12011121∈=⫏≰112120221","layer":2},{"info":"⫏≰21220202⪹=⫏≰210222212","layer":3},{"info":"⫏≰1222121∷⫏≰12122001=⫏≰12122001","layer":3},{"info":"⫏≰210222212∑⇟⊟⫏≰12122001=NaN","layer":2},{"info":"⫏≰112120221⩍⋽⫝̸NaN=NaN","layer":1},{"info":"⫏≰12110101⩒⫫NaN=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"(⊵⊁(⪭⩑⪱$5092$∋$2405$))⪚⩙≫","expression":"(⊵⊁(⪭⩑⪱⫏≰20222121∋⫏≰10022002))⪚⩙≫","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":971,"operation_count":4,"complexity_ratio":242.75,"tree":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5092,"base":3},"right_expr":{"type":"numeric_atoms","value":2405,"base":3}}}}},"used_operators":["4n53wtyJvv","AvED76WdY7","SIgE0bArFf","ukq6epAj5P"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","uBihLCJcMX","k8jYdgA6NY","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5092","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=5092, right_input=2405, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5194272","layer":3},{"info":"compute unary expreesion, input=5194272, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute unary expreesion, input=8320752, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=49923442","layer":1},{"info":"compute unary expreesion, input=49923442, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊵⊁(⪭⩑⪱⫏≰20222121∋⫏≰10022002))⪚⩙≫=NaN","reverse_text":"NaN=(⊵⊁(⪭⩑⪱⫏≰20222121∋⫏≰10022002))⪚⩙≫","cot":[{"info":"⫏≰20222121∋⫏≰10022002=⫏≰100202220012110","layer":3},{"info":"⪭⩑⪱⫏≰100202220012110=⫏≰120122201221000","layer":2},{"info":"⊵⊁⫏≰120122201221000=⫏≰10110221101002101","layer":1},{"info":"⫏≰10110221101002101⪚⩙≫=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"(((-$4583$)⊦⊿)⨰(∨∊⋏($1578$⫥∨⫟$3247$)))⋥⋵⩄($9991$⪚$1199$⨪↰⇹($1169$⪨⊡$4645$)∙∹∝(($6069$≚⊃≕$1249$)⊍))","expression":"(((-⫏≰20021202)⊦⊿)⨰(∨∊⋏(⫏≰2011110⫥∨⫟⫏≰11110021)))⋥⋵⩄(⫏≰111201001⪚⫏≰1122102⨪↰⇹(⫏≰1121022⪨⊡⫏≰20101001)∙∹∝((⫏≰22022210≚⊃≕⫏≰1201021)⊍))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17560,"operation_count":12,"complexity_ratio":1463.3333333333333,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4583,"base":3}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1578,"base":3},"right_expr":{"type":"numeric_atoms","value":3247,"base":3}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":9991,"base":3},"right_expr":{"type":"numeric_atoms","value":1199,"base":3}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1169,"base":3},"right_expr":{"type":"numeric_atoms","value":4645,"base":3}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":6069,"base":3},"right_expr":{"type":"numeric_atoms","value":1249,"base":3}}}}},"used_operators":["7t3wd0Fuz7","eewbuw0ToL","14qkJME0vr","t8gj7n24qd","R5aXW34M0v","KYD54nUTWz","HmxsFra2vL","tmPS8pqC7x","HrjLwUk87U","kuIXHzHcAH","3nqY3DE9mg","Bmrmz2XGnR"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","8HhzD0ZcuI","rGHVDoGpnC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4583","layer":4},{"info":"compute unary expreesion, input=4583, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4583","layer":3},{"info":"compute unary expreesion, input=-4583, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=13670","layer":2},{"info":"number node, value=1578","layer":4},{"info":"number node, value=3247","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=3247, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13670, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=9991","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=9991, right_input=1199, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=17228","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=4645","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=4645, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=17228, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=17228","layer":2},{"info":"number node, value=6069","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=6069, right_input=1249, 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":3},{"info":"compute unary expreesion, input=67, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-3687","layer":2},{"info":"compute binary expreesion, left_input=17228, right_input=-3687, 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=nan, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((-⫏≰20021202)⊦⊿)⨰(∨∊⋏(⫏≰2011110⫥∨⫟⫏≰11110021)))⋥⋵⩄(⫏≰111201001⪚⫏≰1122102⨪↰⇹(⫏≰1121022⪨⊡⫏≰20101001)∙∹∝((⫏≰22022210≚⊃≕⫏≰1201021)⊍))=NaN","reverse_text":"NaN=(((-⫏≰20021202)⊦⊿)⨰(∨∊⋏(⫏≰2011110⫥∨⫟⫏≰11110021)))⋥⋵⩄(⫏≰111201001⪚⫏≰1122102⨪↰⇹(⫏≰1121022⪨⊡⫏≰20101001)∙∹∝((⫏≰22022210≚⊃≕⫏≰1201021)⊍))","cot":[{"info":"-⫏≰20021202=⫏≰-20021202","layer":3},{"info":"⫏≰-20021202⊦⊿=⫏≰200202022","layer":2},{"info":"⫏≰2011110⫥∨⫟⫏≰11110021=NaN","layer":3},{"info":"∨∊⋏NaN=NaN","layer":2},{"info":"⫏≰200202022⨰NaN=NaN","layer":1},{"info":"⫏≰111201001⪚⫏≰1122102=⫏≰212122002","layer":3},{"info":"⫏≰1121022⪨⊡⫏≰20101001=⫏≰0","layer":3},{"info":"⫏≰212122002⨪↰⇹⫏≰0=⫏≰212122002","layer":2},{"info":"⫏≰22022210≚⊃≕⫏≰1201021=⫏≰2111","layer":3},{"info":"⫏≰2111⊍=⫏≰-12001120","layer":2},{"info":"⫏≰212122002∙∹∝⫏≰-12001120=⫏≰0","layer":1},{"info":"NaN⋥⋵⩄⫏≰0=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"((≉$1546$)⫁⪎($1059$⩚⊴⇥$2109$)⊭↱(⨑⩽⪐$1652$⨂≜$1552$))⨐⩸⫘(⫶⊄≣($1578$≠≀$4354$)⨸($8339$⩍⋽⫝̸$2652$))","expression":"((≉⫏≰2010021)⫁⪎(⫏≰1110020⩚⊴⇥⫏≰2220010)⊭↱(⨑⩽⪐⫏≰2021012⨂≜⫏≰2010111))⨐⩸⫘(⫶⊄≣(⫏≰2011110≠≀⫏≰12222021)⨸(⫏≰102102212⩍⋽⫝̸⫏≰10122020))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":735355,"operation_count":11,"complexity_ratio":66850.45454545454,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1546,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1059,"base":3},"right_expr":{"type":"numeric_atoms","value":2109,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1652,"base":3},"right_expr":{"type":"numeric_atoms","value":1552,"base":3}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1578,"base":3},"right_expr":{"type":"numeric_atoms","value":4354,"base":3}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":8339,"base":3},"right_expr":{"type":"numeric_atoms","value":2652,"base":3}}}}},"used_operators":["fu6greOZ01","COABgblf1C","xRrnTEsQ6j","e1ybzncUwg","NTOWxs364D","AF7qkfDlqP","k1SHOSEABc","wxb3vTeyAj","KmoU8R5UQR","IwW236VD4Y","BiWNJpBvwn"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2077","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2109, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3289","layer":3},{"info":"compute binary expreesion, left_input=2077, right_input=-3289, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5366","layer":2},{"info":"number node, value=1652","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=1552, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5366, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1578","layer":4},{"info":"number node, value=4354","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=4354, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2850","layer":3},{"info":"number node, value=8339","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=8339, right_input=2652, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1706","layer":3},{"info":"compute binary expreesion, left_input=-2850, right_input=1706, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=730634","layer":2},{"info":"compute unary expreesion, input=730634, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"((≉⫏≰2010021)⫁⪎(⫏≰1110020⩚⊴⇥⫏≰2220010)⊭↱(⨑⩽⪐⫏≰2021012⨂≜⫏≰2010111))⨐⩸⫘(⫶⊄≣(⫏≰2011110≠≀⫏≰12222021)⨸(⫏≰102102212⩍⋽⫝̸⫏≰10122020))=NaN","reverse_text":"NaN=((≉⫏≰2010021)⫁⪎(⫏≰1110020⩚⊴⇥⫏≰2220010)⊭↱(⨑⩽⪐⫏≰2021012⨂≜⫏≰2010111))⨐⩸⫘(⫶⊄≣(⫏≰2011110≠≀⫏≰12222021)⨸(⫏≰102102212⩍⋽⫝̸⫏≰10122020))","cot":[{"info":"≉⫏≰2010021=⫏≰2211221","layer":3},{"info":"⫏≰1110020⩚⊴⇥⫏≰2220010=⫏≰-11111211","layer":3},{"info":"⫏≰2211221⫁⪎⫏≰-11111211=⫏≰21100202","layer":2},{"info":"⫏≰2021012⨂≜⫏≰2010111=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⫏≰21100202⊭↱NaN=NaN","layer":1},{"info":"⫏≰2011110≠≀⫏≰12222021=⫏≰-10220120","layer":3},{"info":"⫏≰102102212⩍⋽⫝̸⫏≰10122020=⫏≰2100012","layer":3},{"info":"⫏≰-10220120⨸⫏≰2100012=⫏≰1101010020112","layer":2},{"info":"⫶⊄≣⫏≰1101010020112=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"((($1184$≭$3143$)≄⊠$1379$∋$3261$)∛(⫎≠⋺($1054$⫉⨲⊜$2301$)))⩼⇪↪(↥≼⋛($1693$⫃⨇$5220$)↢(⨆≐≲$2809$))","expression":"(((⫏≰1121212≭⫏≰11022102)≄⊠⫏≰1220002∋⫏≰11110210)∛(⫎≠⋺(⫏≰1110001⫉⨲⊜⫏≰10011020)))⩼⇪↪(↥≼⋛(⫏≰2022201⫃⨇⫏≰21011100)↢(⨆≐≲⫏≰10212001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":426,"operation_count":11,"complexity_ratio":38.72727272727273,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1184,"base":3},"right_expr":{"type":"numeric_atoms","value":3143,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1379,"base":3},"right_expr":{"type":"numeric_atoms","value":3261,"base":3}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1054,"base":3},"right_expr":{"type":"numeric_atoms","value":2301,"base":3}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1693,"base":3},"right_expr":{"type":"numeric_atoms","value":5220,"base":3}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2809,"base":3}}}}},"used_operators":["ocnLzx9CaJ","w2537kitQq","vXNesLlMH1","rxpJgHHUmx","ukq6epAj5P","LYeZOJ0nQG","WhqkvtTD3t","x5lMkHmzsq","WR6HLWljOP","09Ly4LVMIf","Bi9z9uYZqW"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","AHs5Up7iyr","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"⫏≰12021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1184","layer":4},{"info":"number node, value=3143","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=3143, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1379","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=3261, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6774828","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6774828, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=108401916","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=2301, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=108401916, right_input=-709, 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=1693","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=5220, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-20912","layer":3},{"info":"number node, value=2809","layer":4},{"info":"compute unary expreesion, input=2809, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=30408216","layer":3},{"info":"compute binary expreesion, left_input=-20912, right_input=30408216, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=60774608","layer":2},{"info":"compute unary expreesion, input=60774608, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-113, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=142","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1121212≭⫏≰11022102)≄⊠⫏≰1220002∋⫏≰11110210)∛(⫎≠⋺(⫏≰1110001⫉⨲⊜⫏≰10011020)))⩼⇪↪(↥≼⋛(⫏≰2022201⫃⨇⫏≰21011100)↢(⨆≐≲⫏≰10212001))=⫏≰12021","reverse_text":"⫏≰12021=(((⫏≰1121212≭⫏≰11022102)≄⊠⫏≰1220002∋⫏≰11110210)∛(⫎≠⋺(⫏≰1110001⫉⨲⊜⫏≰10011020)))⩼⇪↪(↥≼⋛(⫏≰2022201⫃⨇⫏≰21011100)↢(⨆≐≲⫏≰10212001))","cot":[{"info":"⫏≰1121212≭⫏≰11022102=NaN","layer":3},{"info":"⫏≰1220002∋⫏≰11110210=⫏≰110202012022120","layer":3},{"info":"NaN≄⊠⫏≰110202012022120=⫏≰21112222101110210","layer":2},{"info":"⫏≰1110001⫉⨲⊜⫏≰10011020=⫏≰0","layer":3},{"info":"⫎≠⋺⫏≰0=⫏≰-222021","layer":2},{"info":"⫏≰21112222101110210∛⫏≰-222021=⫏≰2111","layer":1},{"info":"⫏≰2022201⫃⨇⫏≰21011100=⫏≰-1001200112","layer":3},{"info":"⨆≐≲⫏≰10212001=⫏≰2010012220020020","layer":3},{"info":"⫏≰-1001200112↢⫏≰2010012220020020=⫏≰11020100200002102","layer":2},{"info":"↥≼⋛⫏≰11020100200002102=⫏≰-11012","layer":1},{"info":"⫏≰2111⩼⇪↪⫏≰-11012=⫏≰12021","layer":0}]}
{"id":34,"expression_no_base_symbol":"∨∊⋏(≅≯⇸$1476$⩷∴$1115$⩚⊴⇥($1328$⊍))","expression":"∨∊⋏(≅≯⇸⫏≰2000200⩷∴⫏≰1112022⩚⊴⇥(⫏≰1211012⊍))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":132,"operation_count":5,"complexity_ratio":26.4,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1476,"base":3},"right_expr":{"type":"numeric_atoms","value":1115,"base":3}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1328,"base":3}}}}},"used_operators":["R5aXW34M0v","apS25hmuAe","NTOWxs364D","9FxExcQeMw","3nqY3DE9mg"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"⫏≰-21100002122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1476","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=1115, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=690","layer":3},{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=2304","layer":3},{"info":"compute binary expreesion, left_input=690, right_input=2304, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3115","layer":2},{"info":"compute unary expreesion, input=-3115, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-4783","layer":1},{"info":"compute unary expreesion, input=-4783, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-144413","layer":0}],"base":3,"result_base":3,"text":"∨∊⋏(≅≯⇸⫏≰2000200⩷∴⫏≰1112022⩚⊴⇥(⫏≰1211012⊍))=⫏≰-21100002122","reverse_text":"⫏≰-21100002122=∨∊⋏(≅≯⇸⫏≰2000200⩷∴⫏≰1112022⩚⊴⇥(⫏≰1211012⊍))","cot":[{"info":"⫏≰2000200⩷∴⫏≰1112022=⫏≰221120","layer":3},{"info":"⫏≰1211012⊍=⫏≰10011100","layer":3},{"info":"⫏≰221120⩚⊴⇥⫏≰10011100=⫏≰-11021101","layer":2},{"info":"≅≯⇸⫏≰-11021101=⫏≰-20120011","layer":1},{"info":"∨∊⋏⫏≰-20120011=⫏≰-21100002122","layer":0}]}
{"id":35,"expression_no_base_symbol":"($1240$⨸$2970$⇣⩺⋵$4201$⊕∕$3159$⫰⋱(⨞⊢($4361$⊿∆)))∘((≛$2056$⫰⋱$2141$)%(⨈⫕$4691$)⩘($3062$⫳≱↱$3114$))","expression":"(⫏≰1200221⨸⫏≰11002000⇣⩺⋵⫏≰12202121⊕∕⫏≰11100000⫰⋱(⨞⊢(⫏≰12222112⊿∆)))∘((≛⫏≰2211011⫰⋱⫏≰2221022)%(⨈⫕⫏≰20102202)⩘(⫏≰11012102⫳≱↱⫏≰11021100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2280,"operation_count":13,"complexity_ratio":175.3846153846154,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1240,"base":3},"right_expr":{"type":"numeric_atoms","value":2970,"base":3}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4201,"base":3},"right_expr":{"type":"numeric_atoms","value":3159,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":4361,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2056,"base":3},"right_expr":{"type":"numeric_atoms","value":2141,"base":3}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4691,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3062,"base":3},"right_expr":{"type":"numeric_atoms","value":3114,"base":3}}}}},"used_operators":["Z5m6OM72h2","6o9Blt3TJ6","F4yD0voBRQ","KmoU8R5UQR","9cloC0Ngie","xUOZtlo3hN","fv3ZujxkQL","k8jYdgA6NY","W7eaUhjymW","cHh1gJQ2o6","megm06wKyl","ZvLB05nZmT"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⫏≰10020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1240","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=2970, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2480","layer":3},{"info":"number node, value=4201","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=4201, right_input=3159, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4201","layer":3},{"info":"compute binary expreesion, left_input=2480, right_input=4201, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=4361","layer":4},{"info":"compute unary expreesion, input=4361, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-8843","layer":3},{"info":"compute unary expreesion, input=-8843, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=8669","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=8669, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=293","layer":1},{"info":"number node, value=2056","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=2141, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2023","layer":3},{"info":"compute unary expreesion, input=-2023, 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=-4283","layer":2},{"info":"number node, value=4691","layer":4},{"info":"compute unary expreesion, input=4691, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=3062","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=3114, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-204, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-4283, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=37","layer":1},{"info":"compute binary expreesion, left_input=293, right_input=37, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=87","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1200221⨸⫏≰11002000⇣⩺⋵⫏≰12202121⊕∕⫏≰11100000⫰⋱(⨞⊢(⫏≰12222112⊿∆)))∘((≛⫏≰2211011⫰⋱⫏≰2221022)%(⨈⫕⫏≰20102202)⩘(⫏≰11012102⫳≱↱⫏≰11021100))=⫏≰10020","reverse_text":"⫏≰10020=(⫏≰1200221⨸⫏≰11002000⇣⩺⋵⫏≰12202121⊕∕⫏≰11100000⫰⋱(⨞⊢(⫏≰12222112⊿∆)))∘((≛⫏≰2211011⫰⋱⫏≰2221022)%(⨈⫕⫏≰20102202)⩘(⫏≰11012102⫳≱↱⫏≰11021100))","cot":[{"info":"⫏≰1200221⨸⫏≰11002000=⫏≰10101212","layer":3},{"info":"⫏≰12202121⊕∕⫏≰11100000=⫏≰12202121","layer":3},{"info":"⫏≰10101212⇣⩺⋵⫏≰12202121=⫏≰-100122","layer":2},{"info":"⫏≰12222112⊿∆=⫏≰-110010112","layer":3},{"info":"⨞⊢⫏≰-110010112=⫏≰102220002","layer":2},{"info":"⫏≰-100122⫰⋱⫏≰102220002=⫏≰101212","layer":1},{"info":"⫏≰2211011⫰⋱⫏≰2221022=⫏≰-2202221","layer":3},{"info":"≛⫏≰-2202221=⫏≰-12212122","layer":2},{"info":"⨈⫕⫏≰20102202=⫏≰-210","layer":3},{"info":"⫏≰11012102⫳≱↱⫏≰11021100=⫏≰-21120","layer":3},{"info":"⫏≰-210⩘⫏≰-21120=⫏≰12221","layer":2},{"info":"⫏≰-12212122%⫏≰12221=⫏≰1101","layer":1},{"info":"⫏≰101212∘⫏≰1101=⫏≰10020","layer":0}]}
{"id":36,"expression_no_base_symbol":"(∂($1847$⪉⨛$1270$⨵⪆(↥$1213$)))⪪(-($3285$⪉⨛$6823$)↬($8162$⫸⊐$2535$))","expression":"(∂(⫏≰2112102⪉⨛⫏≰1202001⨵⪆(↥⫏≰1122221)))⪪(-(⫏≰11111200⪉⨛⫏≰100100201)↬(⫏≰102012022⫸⊐⫏≰10110220))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":868,"operation_count":9,"complexity_ratio":96.44444444444444,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1847,"base":3},"right_expr":{"type":"numeric_atoms","value":1270,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1213,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3285,"base":3},"right_expr":{"type":"numeric_atoms","value":6823,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8162,"base":3},"right_expr":{"type":"numeric_atoms","value":2535,"base":3}}}}},"used_operators":["xD69zh8xqp","Uaa54Peajs","2DQ55sFlQl","EWw2JM7wp4","A8NUZmVepG","t8gj7n24qd","B5M0gjZbta","mqXw5SEYmG"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","k8jYdgA6NY","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰-22111212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=1270, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4486","layer":3},{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute binary expreesion, left_input=4486, right_input=40, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-424","layer":1},{"info":"number node, value=3285","layer":4},{"info":"number node, value=6823","layer":4},{"info":"compute binary expreesion, left_input=3285, right_input=6823, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3247","layer":3},{"info":"number node, value=8162","layer":4},{"info":"number node, value=2535","layer":4},{"info":"compute binary expreesion, left_input=8162, right_input=2535, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10015","layer":3},{"info":"compute binary expreesion, left_input=3247, right_input=10015, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-424, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":3,"result_base":3,"text":"(∂(⫏≰2112102⪉⨛⫏≰1202001⨵⪆(↥⫏≰1122221)))⪪(-(⫏≰11111200⪉⨛⫏≰100100201)↬(⫏≰102012022⫸⊐⫏≰10110220))=⫏≰-22111212","reverse_text":"⫏≰-22111212=(∂(⫏≰2112102⪉⨛⫏≰1202001⨵⪆(↥⫏≰1122221)))⪪(-(⫏≰11111200⪉⨛⫏≰100100201)↬(⫏≰102012022⫸⊐⫏≰10110220))","cot":[{"info":"⫏≰2112102⪉⨛⫏≰1202001=⫏≰20011011","layer":3},{"info":"↥⫏≰1122221=⫏≰1111","layer":3},{"info":"⫏≰20011011⨵⪆⫏≰1111=⫏≰12221","layer":2},{"info":"∂⫏≰12221=⫏≰-120201","layer":1},{"info":"⫏≰11111200⪉⨛⫏≰100100201=⫏≰11110021","layer":3},{"info":"⫏≰102012022⫸⊐⫏≰10110220=⫏≰111201221","layer":3},{"info":"⫏≰11110021↬⫏≰111201221=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫏≰-120201⪪NaN=⫏≰-22111212","layer":0}]}
{"id":37,"expression_no_base_symbol":"(($2243$⋳⪒$7031$)↢($2067$⋣⋖$1528$))⇻⋧≁(($1683$≄⊠$5370$)∋($2703$∀⇚≩$2104$))∣(⊀($5348$⋷$1000$)⊝⪿⪼$9396$↞⋁$3187$)","expression":"((⫏≰10002002⋳⪒⫏≰100122102)↢(⫏≰2211120⋣⋖⫏≰2002121))⇻⋧≁((⫏≰2022100≄⊠⫏≰21100220)∋(⫏≰10201010∀⇚≩⫏≰2212221))∣(⊀(⫏≰21100002⋷⫏≰1101001)⊝⪿⪼⫏≰110220000↞⋁⫏≰11101001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19429,"operation_count":12,"complexity_ratio":1619.0833333333333,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2243,"base":3},"right_expr":{"type":"numeric_atoms","value":7031,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2067,"base":3},"right_expr":{"type":"numeric_atoms","value":1528,"base":3}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1683,"base":3},"right_expr":{"type":"numeric_atoms","value":5370,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2703,"base":3},"right_expr":{"type":"numeric_atoms","value":2104,"base":3}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5348,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":9396,"base":3},"right_expr":{"type":"numeric_atoms","value":3187,"base":3}}}}},"used_operators":["PPChnnnBFF","jCPkEVoL5K","WR6HLWljOP","12rbrZMWeM","J0M6qkBnIM","ukq6epAj5P","vXNesLlMH1","LRNGc0VcxI","oPMjh9089D","3Oe9XWJUTD","23Mk6UjR3U","RqrPlJkxDo"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","X99M06cbEe","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2243","layer":4},{"info":"number node, value=7031","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=7031, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2832","layer":3},{"info":"number node, value=2067","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=1528, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2067","layer":3},{"info":"compute binary expreesion, left_input=-2832, right_input=2067, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-1530","layer":2},{"info":"number node, value=1683","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=5370, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=90588","layer":3},{"info":"number node, value=2703","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=2104, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=90588, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-416976","layer":2},{"info":"compute binary expreesion, left_input=-1530, right_input=-416976, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"number node, value=5348","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=5348, right_input=1000, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3348","layer":3},{"info":"number node, value=9396","layer":4},{"info":"number node, value=3187","layer":4},{"info":"compute binary expreesion, left_input=9396, right_input=3187, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3348, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-40288","layer":2},{"info":"compute unary expreesion, input=-40288, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=605103","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=605103, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10002002⋳⪒⫏≰100122102)↢(⫏≰2211120⋣⋖⫏≰2002121))⇻⋧≁((⫏≰2022100≄⊠⫏≰21100220)∋(⫏≰10201010∀⇚≩⫏≰2212221))∣(⊀(⫏≰21100002⋷⫏≰1101001)⊝⪿⪼⫏≰110220000↞⋁⫏≰11101001)=⫏≰0","reverse_text":"⫏≰0=((⫏≰10002002⋳⪒⫏≰100122102)↢(⫏≰2211120⋣⋖⫏≰2002121))⇻⋧≁((⫏≰2022100≄⊠⫏≰21100220)∋(⫏≰10201010∀⇚≩⫏≰2212221))∣(⊀(⫏≰21100002⋷⫏≰1101001)⊝⪿⪼⫏≰110220000↞⋁⫏≰11101001)","cot":[{"info":"⫏≰10002002⋳⪒⫏≰100122102=⫏≰-10212220","layer":3},{"info":"⫏≰2211120⋣⋖⫏≰2002121=⫏≰2211120","layer":3},{"info":"⫏≰-10212220↢⫏≰2211120=⫏≰-2002200","layer":2},{"info":"⫏≰2022100≄⊠⫏≰21100220=⫏≰11121021010","layer":3},{"info":"⫏≰10201010∀⇚≩⫏≰2212221=NaN","layer":3},{"info":"⫏≰11121021010∋NaN=⫏≰-210011222120","layer":2},{"info":"⫏≰-2002200⇻⋧≁⫏≰-210011222120=⫏≰0","layer":1},{"info":"⫏≰21100002⋷⫏≰1101001=⫏≰-11121000","layer":3},{"info":"⫏≰110220000↞⋁⫏≰11101001=NaN","layer":3},{"info":"⫏≰-11121000⊝⪿⪼NaN=⫏≰-2001021011","layer":2},{"info":"⊀⫏≰-2001021011=⫏≰1010202001020","layer":1},{"info":"⫏≰0∣⫏≰1010202001020=⫏≰0","layer":0}]}
{"id":38,"expression_no_base_symbol":"⊁⨺(⇤←((∜⨇$5440$)∸))","expression":"⊁⨺(⇤←((∜⨇⫏≰21110111)∸))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":294,"operation_count":4,"complexity_ratio":73.5,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":5440,"base":3}}}}},"used_operators":["PxiHyQbrIp","jfAgQ2OQeM","o20kRiQErp","uFPyJr306J"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","tmPS8pqC7x","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5440","layer":4},{"info":"compute unary expreesion, input=5440, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=481","layer":1},{"info":"compute unary expreesion, input=481, 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":0}],"base":3,"result_base":3,"text":"⊁⨺(⇤←((∜⨇⫏≰21110111)∸))=⫏≰12221","reverse_text":"⫏≰12221=⊁⨺(⇤←((∜⨇⫏≰21110111)∸))","cot":[{"info":"∜⨇⫏≰21110111=NaN","layer":3},{"info":"NaN∸=⫏≰20120","layer":2},{"info":"⇤←⫏≰20120=⫏≰122211","layer":1},{"info":"⊁⨺⫏≰122211=⫏≰12221","layer":0}]}
{"id":39,"expression_no_base_symbol":"((⊙↵-$3600$)≃$2688$≝⊿$1428$⫸⇳$4874$↳≱$1761$⫘($3195$∝$2705$))⪟⇏((⪓⩚($2663$⇽⩪))∳⫺(⇺⋃($2732$⨪↰⇹$2692$)))","expression":"((⊙↵-⫏≰11221100)≃⫏≰10200120≝⊿⫏≰1221220⫸⇳⫏≰20200112↳≱⫏≰2102020⫘(⫏≰11101100∝⫏≰10201012))⪟⇏((⪓⩚(⫏≰10122122⇽⩪))∳⫺(⇺⋃(⫏≰10202012⨪↰⇹⫏≰10200201)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10125,"operation_count":13,"complexity_ratio":778.8461538461538,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3600,"base":3}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2688,"base":3},"right_expr":{"type":"numeric_atoms","value":1428,"base":3}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4874,"base":3},"right_expr":{"type":"numeric_atoms","value":1761,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3195,"base":3},"right_expr":{"type":"numeric_atoms","value":2705,"base":3}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":2663,"base":3}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2732,"base":3},"right_expr":{"type":"numeric_atoms","value":2692,"base":3}}}}},"used_operators":["GODebY97qR","gx7XJ7hdpj","YbVcJGFEVW","oWn0xqSxBt","OKKcZfAt5B","48vC8HMD2b","JwTKLfZU96","cTDWOvIxvz","AzXXKTstlj","u0R0Locfp2","FonBHBYJbU","E5v5B3UAjG","tmPS8pqC7x"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","7j4O788W3g","W4YGzv6Whe","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rJVOvQCfKK"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3600","layer":4},{"info":"compute unary expreesion, input=3600, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2688","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=1428, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6077","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-6077, 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=24268","layer":2},{"info":"number node, value=4874","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=4874, right_input=1761, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3195","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=2705, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3200","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3200, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=24268, right_input=nan, 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=2663","layer":4},{"info":"compute unary expreesion, input=2663, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=5848","layer":3},{"info":"compute unary expreesion, input=5848, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=2732","layer":4},{"info":"number node, value=2692","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=2692, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2732","layer":3},{"info":"compute unary expreesion, input=2732, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-260, 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":3,"result_base":3,"text":"((⊙↵-⫏≰11221100)≃⫏≰10200120≝⊿⫏≰1221220⫸⇳⫏≰20200112↳≱⫏≰2102020⫘(⫏≰11101100∝⫏≰10201012))⪟⇏((⪓⩚(⫏≰10122122⇽⩪))∳⫺(⇺⋃(⫏≰10202012⨪↰⇹⫏≰10200201)))=⫏≰0","reverse_text":"⫏≰0=((⊙↵-⫏≰11221100)≃⫏≰10200120≝⊿⫏≰1221220⫸⇳⫏≰20200112↳≱⫏≰2102020⫘(⫏≰11101100∝⫏≰10201012))⪟⇏((⪓⩚(⫏≰10122122⇽⩪))∳⫺(⇺⋃(⫏≰10202012⨪↰⇹⫏≰10200201)))","cot":[{"info":"⊙↵-⫏≰11221100=⫏≰-1","layer":3},{"info":"⫏≰10200120≝⊿⫏≰1221220=⫏≰-22100002","layer":3},{"info":"⫏≰-1≃⫏≰-22100002=⫏≰1020021211","layer":2},{"info":"⫏≰20200112↳≱⫏≰2102020=⫏≰0","layer":3},{"info":"⫏≰11101100∝⫏≰10201012=⫏≰11101112","layer":3},{"info":"⫏≰0⫘⫏≰11101112=NaN","layer":2},{"info":"⫏≰1020021211⫸⇳NaN=⫏≰0","layer":1},{"info":"⫏≰10122122⇽⩪=⫏≰22000121","layer":3},{"info":"⪓⩚⫏≰22000121=⫏≰120210","layer":2},{"info":"⫏≰10202012⨪↰⇹⫏≰10200201=⫏≰10202012","layer":3},{"info":"⇺⋃⫏≰10202012=NaN","layer":2},{"info":"⫏≰120210∳⫺NaN=⫏≰-100122","layer":1},{"info":"⫏≰0⪟⇏⫏≰-100122=⫏≰0","layer":0}]}
{"id":40,"expression_no_base_symbol":"⨞⊢((≀↧⇸($5312$⨑≵⋬$5749$))%(⨭⩧⫛($3361$⇌⫙⪟$1673$)))","expression":"⨞⊢((≀↧⇸(⫏≰21021202⨑≵⋬⫏≰21212221))%(⨭⩧⫛(⫏≰11121111⇌⫙⪟⫏≰2021222)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12811,"operation_count":6,"complexity_ratio":2135.1666666666665,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5312,"base":3},"right_expr":{"type":"numeric_atoms","value":5749,"base":3}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3361,"base":3},"right_expr":{"type":"numeric_atoms","value":1673,"base":3}}}}},"used_operators":["xUOZtlo3hN","k8jYdgA6NY","ljTHtUsqzn","XnXgA4xnOs","g21JL6JxX7","AFVx7xoS7T"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","23Mk6UjR3U","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5312","layer":4},{"info":"number node, value=5749","layer":4},{"info":"compute binary expreesion, left_input=5312, right_input=5749, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-12304","layer":3},{"info":"compute unary expreesion, input=-12304, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=49216","layer":2},{"info":"number node, value=3361","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=3361, right_input=1673, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=49216, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨞⊢((≀↧⇸(⫏≰21021202⨑≵⋬⫏≰21212221))%(⨭⩧⫛(⫏≰11121111⇌⫙⪟⫏≰2021222)))=NaN","reverse_text":"NaN=⨞⊢((≀↧⇸(⫏≰21021202⨑≵⋬⫏≰21212221))%(⨭⩧⫛(⫏≰11121111⇌⫙⪟⫏≰2021222)))","cot":[{"info":"⫏≰21021202⨑≵⋬⫏≰21212221=⫏≰-121212201","layer":3},{"info":"≀↧⇸⫏≰-121212201=⫏≰2111111211","layer":2},{"info":"⫏≰11121111⇌⫙⪟⫏≰2021222=⫏≰11012","layer":3},{"info":"⨭⩧⫛⫏≰11012=NaN","layer":2},{"info":"⫏≰2111111211%NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":41,"expression_no_base_symbol":"≻⋜(↘($2038$⪪$4518$⋣⋖(⩎⋉$2118$)))","expression":"≻⋜(↘(⫏≰2210111⪪⫏≰20012100⋣⋖(⩎⋉⫏≰2220110)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8610,"operation_count":5,"complexity_ratio":1722.0,"tree":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2038,"base":3},"right_expr":{"type":"numeric_atoms","value":4518,"base":3}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":2118,"base":3}}}}},"used_operators":["3tj9sqzovi","LdNpr8hQHL","J0M6qkBnIM","xD69zh8xqp","FlXk3pOYe8"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","uFcxV4UQCh","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","FU0Cs4j7VP","JclMnS0uGI","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2038","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=4518, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-303827","layer":3},{"info":"number node, value=2118","layer":4},{"info":"compute unary expreesion, input=2118, 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":3},{"info":"compute binary expreesion, left_input=-303827, right_input=1650, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-303827","layer":2},{"info":"compute unary expreesion, input=-303827, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=365","layer":1},{"info":"compute unary expreesion, input=365, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≻⋜(↘(⫏≰2210111⪪⫏≰20012100⋣⋖(⩎⋉⫏≰2220110)))=NaN","reverse_text":"NaN=≻⋜(↘(⫏≰2210111⪪⫏≰20012100⋣⋖(⩎⋉⫏≰2220110)))","cot":[{"info":"⫏≰2210111⪪⫏≰20012100=⫏≰-120102202212","layer":3},{"info":"⩎⋉⫏≰2220110=⫏≰2021010","layer":3},{"info":"⫏≰-120102202212⋣⋖⫏≰2021010=⫏≰-120102202212","layer":2},{"info":"↘⫏≰-120102202212=⫏≰111112","layer":1},{"info":"≻⋜⫏≰111112=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"⪹((≱⇩⩕$1909$)∙∹∝$4574$∼$4163$)⊢(($3450$⊭↱$1274$)⪷)","expression":"⪹((≱⇩⩕⫏≰2121201)∙∹∝⫏≰20021102∼⫏≰12201012)⊢((⫏≰11201210⊭↱⫏≰1202012)⪷)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4509,"operation_count":7,"complexity_ratio":644.1428571428571,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1909,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4574,"base":3},"right_expr":{"type":"numeric_atoms","value":4163,"base":3}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3450,"base":3},"right_expr":{"type":"numeric_atoms","value":1274,"base":3}}}}},"used_operators":["USyYr0JgAa","5twsqlHp2o","HmxsFra2vL","3DZMoQKiUl","DyGG3AbaNP","Qctrpi3WzA","COABgblf1C"],"dependent_operators":["tifHPKVTfV","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Nsiff2A1zJ","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰120201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1909","layer":4},{"info":"compute unary expreesion, input=1909, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=4574","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=4574, right_input=4163, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=3450","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=1274, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4347","layer":3},{"info":"compute unary expreesion, input=-4347, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=-244","layer":1},{"info":"compute unary expreesion, input=-244, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=424","layer":0}],"base":3,"result_base":3,"text":"⪹((≱⇩⩕⫏≰2121201)∙∹∝⫏≰20021102∼⫏≰12201012)⊢((⫏≰11201210⊭↱⫏≰1202012)⪷)=⫏≰120201","reverse_text":"⫏≰120201=⪹((≱⇩⩕⫏≰2121201)∙∹∝⫏≰20021102∼⫏≰12201012)⊢((⫏≰11201210⊭↱⫏≰1202012)⪷)","cot":[{"info":"≱⇩⩕⫏≰2121201=⫏≰11012","layer":3},{"info":"⫏≰20021102∼⫏≰12201012=NaN","layer":3},{"info":"⫏≰11012∙∹∝NaN=⫏≰0","layer":2},{"info":"⫏≰11201210⊭↱⫏≰1202012=⫏≰-12222000","layer":3},{"info":"⫏≰-12222000⪷=NaN","layer":2},{"info":"⫏≰0⊢NaN=⫏≰-100001","layer":1},{"info":"⪹⫏≰-100001=⫏≰120201","layer":0}]}
{"id":43,"expression_no_base_symbol":"⨡↴(($1593$∟)⫗⊷⫓($1481$⪢$1087$)⪑⩈)","expression":"⨡↴((⫏≰2012000∟)⫗⊷⫓(⫏≰2000212⪢⫏≰1111021)⪑⩈)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3661,"operation_count":5,"complexity_ratio":732.2,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1593,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1481,"base":3},"right_expr":{"type":"numeric_atoms","value":1087,"base":3}}}}},"used_operators":["liw5iZPkLH","C6VvDP6HwP","zashukvMKz","hTbEZDJLEm","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","k8jYdgA6NY"],"result":"⫏≰1200101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":4},{"info":"compute unary expreesion, input=1593, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1087, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, 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":2},{"info":"compute unary expreesion, input=-134, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=176","layer":1},{"info":"compute unary expreesion, input=176, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1225","layer":0}],"base":3,"result_base":3,"text":"⨡↴((⫏≰2012000∟)⫗⊷⫓(⫏≰2000212⪢⫏≰1111021)⪑⩈)=⫏≰1200101","reverse_text":"⫏≰1200101=⨡↴((⫏≰2012000∟)⫗⊷⫓(⫏≰2000212⪢⫏≰1111021)⪑⩈)","cot":[{"info":"⫏≰2012000∟=⫏≰11012","layer":3},{"info":"⫏≰2000212⪢⫏≰1111021=NaN","layer":3},{"info":"⫏≰11012⫗⊷⫓NaN=⫏≰-11222","layer":2},{"info":"⫏≰-11222⪑⩈=⫏≰20112","layer":1},{"info":"⨡↴⫏≰20112=⫏≰1200101","layer":0}]}
{"id":44,"expression_no_base_symbol":"⪹(($2635$⨐⩸⫘$6878$≀⩗∶($3951$⫚↹⊑$7806$))⨭⪣(⫡⇟⇯$2314$)⊋≦⊧$6847$⪎↠$1541$)","expression":"⪹((⫏≰10121121⨐⩸⫘⫏≰100102202≀⩗∶(⫏≰12102100⫚↹⊑⫏≰101201010))⨭⪣(⫡⇟⇯⫏≰10011201)⊋≦⊧⫏≰100101121⪎↠⫏≰2010002)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":103,"operation_count":8,"complexity_ratio":12.875,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2635,"base":3},"right_expr":{"type":"numeric_atoms","value":6878,"base":3}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3951,"base":3},"right_expr":{"type":"numeric_atoms","value":7806,"base":3}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2314,"base":3}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6847,"base":3},"right_expr":{"type":"numeric_atoms","value":1541,"base":3}}}}},"used_operators":["USyYr0JgAa","kn8WO9XteQ","8INZBEW696","fu6greOZ01","dfKe02y8D2","oRDoc9rAEX","qWUSsah53b","3tVxb0NHM4"],"dependent_operators":["tifHPKVTfV","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","3ViojmjbAp","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DZ8iAZOCBD","P8v4zCKN1o","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2635","layer":4},{"info":"number node, value=6878","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=6878, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3951","layer":4},{"info":"number node, value=7806","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=7806, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=2314","layer":4},{"info":"compute unary expreesion, input=2314, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5496","layer":3},{"info":"number node, value=6847","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=6847, right_input=1541, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5496, right_input=160, 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=-80","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-80, 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":1},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪹((⫏≰10121121⨐⩸⫘⫏≰100102202≀⩗∶(⫏≰12102100⫚↹⊑⫏≰101201010))⨭⪣(⫡⇟⇯⫏≰10011201)⊋≦⊧⫏≰100101121⪎↠⫏≰2010002)=NaN","reverse_text":"NaN=⪹((⫏≰10121121⨐⩸⫘⫏≰100102202≀⩗∶(⫏≰12102100⫚↹⊑⫏≰101201010))⨭⪣(⫡⇟⇯⫏≰10011201)⊋≦⊧⫏≰100101121⪎↠⫏≰2010002)","cot":[{"info":"⫏≰10121121⨐⩸⫘⫏≰100102202=NaN","layer":3},{"info":"⫏≰12102100⫚↹⊑⫏≰101201010=⫏≰-121120","layer":3},{"info":"NaN≀⩗∶⫏≰-121120=NaN","layer":2},{"info":"⫡⇟⇯⫏≰10011201=⫏≰21112120","layer":3},{"info":"⫏≰100101121⪎↠⫏≰2010002=⫏≰12221","layer":3},{"info":"⫏≰21112120⊋≦⊧⫏≰12221=⫏≰-2222","layer":2},{"info":"NaN⨭⪣⫏≰-2222=NaN","layer":1},{"info":"⪹NaN=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"(($2858$⨭⪣$4573$⨵⪆(≀↧⇸$2727$))≎⊠⪸(≪$1666$)⩷∴($4659$⫑%∭))≁↽≥(($1126$⨂≜$1579$∲⫓$3400$↸$5489$)⫠↝⫳)","expression":"((⫏≰10220212⨭⪣⫏≰20021101⨵⪆(≀↧⇸⫏≰10202000))≎⊠⪸(≪⫏≰2021201)⩷∴(⫏≰20101120⫑%∭))≁↽≥((⫏≰1112201⨂≜⫏≰2011111∲⫓⫏≰11122221↸⫏≰21112022)⫠↝⫳)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5671,"operation_count":12,"complexity_ratio":472.5833333333333,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2858,"base":3},"right_expr":{"type":"numeric_atoms","value":4573,"base":3}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":2727,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1666,"base":3}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":4659,"base":3}}}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1126,"base":3},"right_expr":{"type":"numeric_atoms","value":1579,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3400,"base":3},"right_expr":{"type":"numeric_atoms","value":5489,"base":3}}}}},"used_operators":["ncHt1X6cMc","bJkvcejdHO","2DQ55sFlQl","kn8WO9XteQ","ljTHtUsqzn","9FxExcQeMw","Qtd6bqUJcN","xUx7qlDO4z","8n5YIzOsVS","i8ToyICDmI","k1SHOSEABc","1eCjFl0mb9"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⫏≰120000002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2858","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=2858, right_input=4573, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1579","layer":3},{"info":"number node, value=2727","layer":4},{"info":"compute unary expreesion, input=2727, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5454","layer":3},{"info":"compute binary expreesion, left_input=1579, right_input=5454, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=4659","layer":4},{"info":"compute unary expreesion, input=4659, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1579, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3400","layer":4},{"info":"number node, value=5489","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=5489, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3400, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=623","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=623, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=10937","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10220212⨭⪣⫏≰20021101⨵⪆(≀↧⇸⫏≰10202000))≎⊠⪸(≪⫏≰2021201)⩷∴(⫏≰20101120⫑%∭))≁↽≥((⫏≰1112201⨂≜⫏≰2011111∲⫓⫏≰11122221↸⫏≰21112022)⫠↝⫳)=⫏≰120000002","reverse_text":"⫏≰120000002=((⫏≰10220212⨭⪣⫏≰20021101⨵⪆(≀↧⇸⫏≰10202000))≎⊠⪸(≪⫏≰2021201)⩷∴(⫏≰20101120⫑%∭))≁↽≥((⫏≰1112201⨂≜⫏≰2011111∲⫓⫏≰11122221↸⫏≰21112022)⫠↝⫳)","cot":[{"info":"⫏≰10220212⨭⪣⫏≰20021101=⫏≰2011111","layer":3},{"info":"≀↧⇸⫏≰10202000=⫏≰21111000","layer":3},{"info":"⫏≰2011111⨵⪆⫏≰21111000=⫏≰12221","layer":2},{"info":"≪⫏≰2021201=⫏≰1020211","layer":3},{"info":"⫏≰20101120⫑%∭=NaN","layer":3},{"info":"⫏≰1020211⩷∴NaN=NaN","layer":2},{"info":"⫏≰12221≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"⫏≰1112201⨂≜⫏≰2011111=NaN","layer":3},{"info":"⫏≰11122221↸⫏≰21112022=⫏≰11122221","layer":3},{"info":"NaN∲⫓⫏≰11122221=⫏≰0","layer":2},{"info":"⫏≰0⫠↝⫳=⫏≰212002","layer":1},{"info":"⫏≰2111≁↽≥⫏≰212002=⫏≰120000002","layer":0}]}
{"id":46,"expression_no_base_symbol":"(≉($2071$⊉≛↸$1462$)⊱⇼⊻($2099$≬⋮$2154$))⊬⨰(($2281$⇪⋭)≧⫂∧$2934$⊉↱≁$3868$)⨜⨶((↥$1995$)⪘⫢(⩏⊷≩$2796$))","expression":"(≉(⫏≰2211201⊉≛↸⫏≰2000011)⊱⇼⊻(⫏≰2212202≬⋮⫏≰2221210))⊬⨰((⫏≰10010111⇪⋭)≧⫂∧⫏≰11000200⊉↱≁⫏≰12022021)⨜⨶((↥⫏≰2201220)⪘⫢(⩏⊷≩⫏≰10211120))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":173,"operation_count":12,"complexity_ratio":14.416666666666666,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2071,"base":3},"right_expr":{"type":"numeric_atoms","value":1462,"base":3}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2099,"base":3},"right_expr":{"type":"numeric_atoms","value":2154,"base":3}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":2281,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2934,"base":3},"right_expr":{"type":"numeric_atoms","value":3868,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1995,"base":3}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2796,"base":3}}}}},"used_operators":["s3Fd5m9Dh2","e1ybzncUwg","FyVja0WsTP","DZ8iAZOCBD","kbkesczE7y","HiPekx5b7W","Ph9nP6C5qx","Z8Yg6dlDSp","w2P8NbNXyL","oacrs7FA3X","A8NUZmVepG","uOZ1tnYMDE"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","23Mk6UjR3U","12rbrZMWeM"],"result":"⫏≰22000021202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2071","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=2071, right_input=1462, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4142","layer":3},{"info":"number node, value=2099","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=2099, right_input=2154, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=4142, right_input=868, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"compute unary expreesion, input=434, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=965","layer":1},{"info":"number node, value=2281","layer":4},{"info":"compute unary expreesion, input=2281, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=2934","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=3868, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=5018","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5018, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4545","layer":2},{"info":"number node, value=1995","layer":4},{"info":"compute unary expreesion, input=1995, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":3},{"info":"number node, value=2796","layer":4},{"info":"compute unary expreesion, input=2796, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=5291","layer":3},{"info":"compute binary expreesion, left_input=6, right_input=5291, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1132","layer":2},{"info":"compute binary expreesion, left_input=4545, right_input=-1132, 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=39441","layer":1},{"info":"compute binary expreesion, left_input=965, right_input=39441, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=157673","layer":0}],"base":3,"result_base":3,"text":"(≉(⫏≰2211201⊉≛↸⫏≰2000011)⊱⇼⊻(⫏≰2212202≬⋮⫏≰2221210))⊬⨰((⫏≰10010111⇪⋭)≧⫂∧⫏≰11000200⊉↱≁⫏≰12022021)⨜⨶((↥⫏≰2201220)⪘⫢(⩏⊷≩⫏≰10211120))=⫏≰22000021202","reverse_text":"⫏≰22000021202=(≉(⫏≰2211201⊉≛↸⫏≰2000011)⊱⇼⊻(⫏≰2212202≬⋮⫏≰2221210))⊬⨰((⫏≰10010111⇪⋭)≧⫂∧⫏≰11000200⊉↱≁⫏≰12022021)⨜⨶((↥⫏≰2201220)⪘⫢(⩏⊷≩⫏≰10211120))","cot":[{"info":"⫏≰2211201⊉≛↸⫏≰2000011=⫏≰12200102","layer":3},{"info":"⫏≰2212202≬⋮⫏≰2221210=⫏≰1012011","layer":3},{"info":"⫏≰12200102⊱⇼⊻⫏≰1012011=⫏≰121002","layer":2},{"info":"≉⫏≰121002=⫏≰1022202","layer":1},{"info":"⫏≰10010111⇪⋭=NaN","layer":3},{"info":"⫏≰11000200⊉↱≁⫏≰12022021=⫏≰20212212","layer":3},{"info":"NaN≧⫂∧⫏≰20212212=⫏≰20020100","layer":2},{"info":"↥⫏≰2201220=⫏≰20","layer":3},{"info":"⩏⊷≩⫏≰10211120=⫏≰21020222","layer":3},{"info":"⫏≰20⪘⫢⫏≰21020222=⫏≰-1112221","layer":2},{"info":"⫏≰20020100⨜⨶⫏≰-1112221=⫏≰2000002210","layer":1},{"info":"⫏≰1022202⊬⨰⫏≰2000002210=⫏≰22000021202","layer":0}]}
{"id":47,"expression_no_base_symbol":"((∓⪦($1007$⋳⪒$1191$))∠↢($1063$⇄$2612$)⩍⋽⫝̸($4328$⨳⩥⨓$2563$))⪒⊣⊆(($6763$⪥$1815$⪛⫼($1978$⨵⪆$5660$))≹⇙⪍((⫵↿$5461$)⫲≸⪮(⇙⪊$3388$)))","expression":"((∓⪦(⫏≰1101022⋳⪒⫏≰1122010))∠↢(⫏≰1110101⇄⫏≰10120202)⩍⋽⫝̸(⫏≰12221022⨳⩥⨓⫏≰10111221))⪒⊣⊆((⫏≰100021111⪥⫏≰2111020⪛⫼(⫏≰2201021⨵⪆⫏≰21202122))≹⇙⪍((⫵↿⫏≰21111021)⫲≸⪮(⇙⪊⫏≰11122111)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20835,"operation_count":14,"complexity_ratio":1488.2142857142858,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":1191,"base":3}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1063,"base":3},"right_expr":{"type":"numeric_atoms","value":2612,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4328,"base":3},"right_expr":{"type":"numeric_atoms","value":2563,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6763,"base":3},"right_expr":{"type":"numeric_atoms","value":1815,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1978,"base":3},"right_expr":{"type":"numeric_atoms","value":5660,"base":3}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":5461,"base":3}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":3388,"base":3}}}}},"used_operators":["eRqsBgTDFp","KbjG8mgYpV","D309nIvmXG","12rbrZMWeM","BiWNJpBvwn","3EYGwJThht","nCS4ZIUYfx","AHs5Up7iyr","hyuBjUqXlG","QbnwKVWMIQ","2DQ55sFlQl","P3lXMJvFrc","ivGwdmUAux","pB6Fcnrjim"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1191, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=536","layer":3},{"info":"compute unary expreesion, input=536, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-511","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2612","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2612, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=4328","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=2563, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1765","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1765, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1292","layer":2},{"info":"compute binary expreesion, left_input=-511, right_input=1292, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-14962","layer":1},{"info":"number node, value=6763","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=6763, right_input=1815, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=31704","layer":3},{"info":"number node, value=1978","layer":4},{"info":"number node, value=5660","layer":4},{"info":"compute binary expreesion, left_input=1978, right_input=5660, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=31704, right_input=160, 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":2},{"info":"number node, value=5461","layer":4},{"info":"compute unary expreesion, input=5461, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=3388","layer":4},{"info":"compute unary expreesion, input=3388, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=137, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-14962, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((∓⪦(⫏≰1101022⋳⪒⫏≰1122010))∠↢(⫏≰1110101⇄⫏≰10120202)⩍⋽⫝̸(⫏≰12221022⨳⩥⨓⫏≰10111221))⪒⊣⊆((⫏≰100021111⪥⫏≰2111020⪛⫼(⫏≰2201021⨵⪆⫏≰21202122))≹⇙⪍((⫵↿⫏≰21111021)⫲≸⪮(⇙⪊⫏≰11122111)))=NaN","reverse_text":"NaN=((∓⪦(⫏≰1101022⋳⪒⫏≰1122010))∠↢(⫏≰1110101⇄⫏≰10120202)⩍⋽⫝̸(⫏≰12221022⨳⩥⨓⫏≰10111221))⪒⊣⊆((⫏≰100021111⪥⫏≰2111020⪛⫼(⫏≰2201021⨵⪆⫏≰21202122))≹⇙⪍((⫵↿⫏≰21111021)⫲≸⪮(⇙⪊⫏≰11122111)))","cot":[{"info":"⫏≰1101022⋳⪒⫏≰1122010=⫏≰201212","layer":3},{"info":"∓⪦⫏≰201212=⫏≰-200221","layer":2},{"info":"⫏≰1110101⇄⫏≰10120202=⫏≰0","layer":3},{"info":"⫏≰12221022⨳⩥⨓⫏≰10111221=⫏≰-2102101","layer":3},{"info":"⫏≰0⩍⋽⫝̸⫏≰-2102101=⫏≰1202212","layer":2},{"info":"⫏≰-200221∠↢⫏≰1202212=⫏≰-202112011","layer":1},{"info":"⫏≰100021111⪥⫏≰2111020=⫏≰1121111020","layer":3},{"info":"⫏≰2201021⨵⪆⫏≰21202122=⫏≰12221","layer":3},{"info":"⫏≰1121111020⪛⫼⫏≰12221=⫏≰1022212","layer":2},{"info":"⫵↿⫏≰21111021=⫏≰12002","layer":3},{"info":"⇙⪊⫏≰11122111=⫏≰0","layer":3},{"info":"⫏≰12002⫲≸⪮⫏≰0=⫏≰12002","layer":2},{"info":"⫏≰1022212≹⇙⪍⫏≰12002=NaN","layer":1},{"info":"⫏≰-202112011⪒⊣⊆NaN=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"($1122$⊔$1726$⪇≇⋚$4722$⋾⨃∁$2191$)⇂≾⫗(($5178$⋫)⪘⫢($2766$⋖∅⋲))⨪↰⇹(⩷(∂⩏⊆($2179$⨸⪁$6722$)))","expression":"(⫏≰1112120⊔⫏≰2100221⪇≇⋚⫏≰20110220⋾⨃∁⫏≰10000011)⇂≾⫗((⫏≰21002210⋫)⪘⫢(⫏≰10210110⋖∅⋲))⨪↰⇹(⩷(∂⩏⊆(⫏≰2222201⨸⪁⫏≰100012222)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8326,"operation_count":11,"complexity_ratio":756.9090909090909,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1122,"base":3},"right_expr":{"type":"numeric_atoms","value":1726,"base":3}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4722,"base":3},"right_expr":{"type":"numeric_atoms","value":2191,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5178,"base":3}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":2766,"base":3}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2179,"base":3},"right_expr":{"type":"numeric_atoms","value":6722,"base":3}}}}},"used_operators":["tmPS8pqC7x","aBQ6xLxuTc","3sJ7IOPOlU","E4l6HwMY31","212REbPD9h","oacrs7FA3X","JL8yIekQnl","L95AwlJzhO","1h0rLqGiFr","8WDwsbhb0R","g55IO6H4Gj"],"dependent_operators":["rJVOvQCfKK","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","14qkJME0vr","eLAdDNolq6","W4YGzv6Whe"],"result":"⫏≰-212111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1726, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=8474","layer":3},{"info":"number node, value=4722","layer":4},{"info":"number node, value=2191","layer":4},{"info":"compute binary expreesion, left_input=4722, right_input=2191, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=47978424","layer":3},{"info":"compute binary expreesion, left_input=8474, right_input=47978424, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=5178","layer":4},{"info":"compute unary expreesion, input=5178, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5178","layer":3},{"info":"number node, value=2766","layer":4},{"info":"compute unary expreesion, input=2766, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=5178, right_input=-384231, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-634","layer":1},{"info":"number node, value=2179","layer":4},{"info":"number node, value=6722","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=6722, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17802","layer":3},{"info":"compute unary expreesion, input=17802, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-53485","layer":2},{"info":"compute unary expreesion, input=-53485, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=641741","layer":1},{"info":"compute binary expreesion, left_input=-634, right_input=641741, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-634","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1112120⊔⫏≰2100221⪇≇⋚⫏≰20110220⋾⨃∁⫏≰10000011)⇂≾⫗((⫏≰21002210⋫)⪘⫢(⫏≰10210110⋖∅⋲))⨪↰⇹(⩷(∂⩏⊆(⫏≰2222201⨸⪁⫏≰100012222)))=⫏≰-212111","reverse_text":"⫏≰-212111=(⫏≰1112120⊔⫏≰2100221⪇≇⋚⫏≰20110220⋾⨃∁⫏≰10000011)⇂≾⫗((⫏≰21002210⋫)⪘⫢(⫏≰10210110⋖∅⋲))⨪↰⇹(⩷(∂⩏⊆(⫏≰2222201⨸⪁⫏≰100012222)))","cot":[{"info":"⫏≰1112120⊔⫏≰2100221=⫏≰102121212","layer":3},{"info":"⫏≰20110220⋾⨃∁⫏≰10000011=⫏≰10100021120000200","layer":3},{"info":"⫏≰102121212⪇≇⋚⫏≰10100021120000200=⫏≰0","layer":2},{"info":"⫏≰21002210⋫=⫏≰21002210","layer":3},{"info":"⫏≰10210110⋖∅⋲=⫏≰-201112001210","layer":3},{"info":"⫏≰21002210⪘⫢⫏≰-201112001210=⫏≰-1","layer":2},{"info":"⫏≰0⇂≾⫗⫏≰-1=⫏≰-212111","layer":1},{"info":"⫏≰2222201⨸⪁⫏≰100012222=⫏≰220102100","layer":3},{"info":"∂⩏⊆⫏≰220102100=⫏≰-2201100221","layer":2},{"info":"⩷⫏≰-2201100221=⫏≰1012121022012","layer":1},{"info":"⫏≰-212111⨪↰⇹⫏≰1012121022012=⫏≰-212111","layer":0}]}
{"id":49,"expression_no_base_symbol":"↩(⇖(⨵≀≌$6266$⋣⋖$3201$))","expression":"↩(⇖(⨵≀≌⫏≰22121002⋣⋖⫏≰11101120))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":4,"complexity_ratio":5.25,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6266,"base":3},"right_expr":{"type":"numeric_atoms","value":3201,"base":3}}}}},"used_operators":["jLgFTUHLKL","tfWHHpNKUN","srAu1WTS94","J0M6qkBnIM"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2DQ55sFlQl","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫏≰2001120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6266","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=6266, right_input=3201, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6266","layer":3},{"info":"compute unary expreesion, input=6266, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18798","layer":2},{"info":"compute unary expreesion, input=-18798, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1500","layer":0}],"base":3,"result_base":3,"text":"↩(⇖(⨵≀≌⫏≰22121002⋣⋖⫏≰11101120))=⫏≰2001120","reverse_text":"⫏≰2001120=↩(⇖(⨵≀≌⫏≰22121002⋣⋖⫏≰11101120))","cot":[{"info":"⫏≰22121002⋣⋖⫏≰11101120=⫏≰22121002","layer":3},{"info":"⨵≀≌⫏≰22121002=⫏≰-221210020","layer":2},{"info":"⇖⫏≰-221210020=⫏≰12221","layer":1},{"info":"↩⫏≰12221=⫏≰2001120","layer":0}]}
{"id":50,"expression_no_base_symbol":"((⇨$7787$)⪨≂$2420$⫁$1058$)⨐⩸⫘$4146$⊕∕$1130$↢($2390$⨒$2347$)⪒$2133$⪥$3451$⫉⨲⊜$3039$⨜⨶$1177$∲⫓($1171$⨽$4817$)≌(⊵⊁$7536$)","expression":"((⇨⫏≰101200102)⪨≂⫏≰10022122⫁⫏≰1110012)⨐⩸⫘⫏≰12200120⊕∕⫏≰1112212↢(⫏≰10021112⨒⫏≰10012221)⪒⫏≰2221000⪥⫏≰11201211⫉⨲⊜⫏≰11011120⨜⨶⫏≰1121121∲⫓(⫏≰1121101⨽⫏≰20121102)≌(⊵⊁⫏≰101100010)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":45679,"operation_count":15,"complexity_ratio":3045.266666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":7787,"base":3}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2420,"base":3},"right_expr":{"type":"numeric_atoms","value":1058,"base":3}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4146,"base":3},"right_expr":{"type":"numeric_atoms","value":1130,"base":3}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2390,"base":3},"right_expr":{"type":"numeric_atoms","value":2347,"base":3}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2133,"base":3},"right_expr":{"type":"numeric_atoms","value":3451,"base":3}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3039,"base":3},"right_expr":{"type":"numeric_atoms","value":1177,"base":3}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1171,"base":3},"right_expr":{"type":"numeric_atoms","value":4817,"base":3}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":7536,"base":3}}}}},"used_operators":["f6k1SAg4EE","fu6greOZ01","sdazOOVcIp","G9tJMlZ94a","0ajvFaJAv0","WR6HLWljOP","9cloC0Ngie","y75s1iXyHd","i8ToyICDmI","WhqkvtTD3t","QbnwKVWMIQ","HiPekx5b7W","lyWz822IDG","8HhzD0ZcuI","AvED76WdY7"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","uBihLCJcMX","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7787","layer":4},{"info":"compute unary expreesion, input=7787, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=1058, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-218","layer":2},{"info":"number node, value=4146","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=4146, right_input=1130, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4146","layer":3},{"info":"number node, value=2390","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=2390, right_input=2347, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-13968","layer":3},{"info":"compute binary expreesion, left_input=4146, right_input=-13968, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3662","layer":2},{"info":"compute binary expreesion, left_input=-218, right_input=3662, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2133","layer":4},{"info":"number node, value=3451","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=3451, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13184","layer":3},{"info":"number node, value=3039","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=1177, 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=-2098","layer":3},{"info":"compute binary expreesion, left_input=13184, right_input=-2098, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-2208","layer":2},{"info":"number node, value=1171","layer":4},{"info":"number node, value=4817","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=4817, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4126860","layer":3},{"info":"number node, value=7536","layer":4},{"info":"compute unary expreesion, input=7536, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=44146","layer":3},{"info":"compute binary expreesion, left_input=-4126860, right_input=44146, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2208, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇨⫏≰101200102)⪨≂⫏≰10022122⫁⫏≰1110012)⨐⩸⫘⫏≰12200120⊕∕⫏≰1112212↢(⫏≰10021112⨒⫏≰10012221)⪒⫏≰2221000⪥⫏≰11201211⫉⨲⊜⫏≰11011120⨜⨶⫏≰1121121∲⫓(⫏≰1121101⨽⫏≰20121102)≌(⊵⊁⫏≰101100010)=NaN","reverse_text":"NaN=((⇨⫏≰101200102)⪨≂⫏≰10022122⫁⫏≰1110012)⨐⩸⫘⫏≰12200120⊕∕⫏≰1112212↢(⫏≰10021112⨒⫏≰10012221)⪒⫏≰2221000⪥⫏≰11201211⫉⨲⊜⫏≰11011120⨜⨶⫏≰1121121∲⫓(⫏≰1121101⨽⫏≰20121102)≌(⊵⊁⫏≰101100010)","cot":[{"info":"⇨⫏≰101200102=⫏≰0","layer":3},{"info":"⫏≰10022122⫁⫏≰1110012=⫏≰12221","layer":3},{"info":"⫏≰0⪨≂⫏≰12221=⫏≰-22002","layer":2},{"info":"⫏≰12200120⊕∕⫏≰1112212=⫏≰12200120","layer":3},{"info":"⫏≰10021112⨒⫏≰10012221=⫏≰-201011100","layer":3},{"info":"⫏≰12200120↢⫏≰-201011100=⫏≰12000122","layer":2},{"info":"⫏≰-22002⨐⩸⫘⫏≰12000122=NaN","layer":1},{"info":"⫏≰2221000⪥⫏≰11201211=⫏≰200002022","layer":3},{"info":"⫏≰11011120⨜⨶⫏≰1121121=⫏≰-2212201","layer":3},{"info":"⫏≰200002022⫉⨲⊜⫏≰-2212201=⫏≰-10000210","layer":2},{"info":"⫏≰1121101⨽⫏≰20121102=⫏≰-21202122222200","layer":3},{"info":"⊵⊁⫏≰101100010=⫏≰2020120001","layer":3},{"info":"⫏≰-21202122222200≌⫏≰2020120001=NaN","layer":2},{"info":"⫏≰-10000210∲⫓NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"⊈((($7834$⋛$7542$)⇂≾⫗($1952$≀⫉$1761$))⊴⇁⪶)","expression":"⊈(((⫏≰101202011⋛⫏≰101100100)⇂≾⫗(⫏≰2200022≀⫉⫏≰2102020))⊴⇁⪶)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3311,"operation_count":5,"complexity_ratio":662.2,"tree":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":7834,"base":3},"right_expr":{"type":"numeric_atoms","value":7542,"base":3}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1952,"base":3},"right_expr":{"type":"numeric_atoms","value":1761,"base":3}}}}},"used_operators":["RHru8klgy8","oo9mF6JIpo","aBQ6xLxuTc","YbUVn0Rbpy","oZj3VtZNQx"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⫏≰1010111212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7834","layer":4},{"info":"number node, value=7542","layer":4},{"info":"compute binary expreesion, left_input=7834, right_input=7542, 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=-61686","layer":3},{"info":"number node, value=1952","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=1761, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-61686, right_input=2822, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, 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=-22418","layer":1},{"info":"compute unary expreesion, input=-22418, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=22244","layer":0}],"base":3,"result_base":3,"text":"⊈(((⫏≰101202011⋛⫏≰101100100)⇂≾⫗(⫏≰2200022≀⫉⫏≰2102020))⊴⇁⪶)=⫏≰1010111212","reverse_text":"⫏≰1010111212=⊈(((⫏≰101202011⋛⫏≰101100100)⇂≾⫗(⫏≰2200022≀⫉⫏≰2102020))⊴⇁⪶)","cot":[{"info":"⫏≰101202011⋛⫏≰101100100=⫏≰-10010121200","layer":3},{"info":"⫏≰2200022≀⫉⫏≰2102020=⫏≰10212112","layer":3},{"info":"⫏≰-10010121200⇂≾⫗⫏≰10212112=⫏≰-220211","layer":2},{"info":"⫏≰-220211⊴⇁⪶=⫏≰-1010202022","layer":1},{"info":"⊈⫏≰-1010202022=⫏≰1010111212","layer":0}]}
{"id":52,"expression_no_base_symbol":"⊬↢(⨵≀≌$7022$⋣⋖$1063$⫸⊐$3398$⨒$1637$)","expression":"⊬↢(⨵≀≌⫏≰100122002⋣⋖⫏≰1110101⫸⊐⫏≰11122212⨒⫏≰2020122)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40263,"operation_count":5,"complexity_ratio":8052.6,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":7022,"base":3},"right_expr":{"type":"numeric_atoms","value":1063,"base":3}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3398,"base":3},"right_expr":{"type":"numeric_atoms","value":1637,"base":3}}}}},"used_operators":["WPoGxAaPR1","srAu1WTS94","mqXw5SEYmG","J0M6qkBnIM","y75s1iXyHd"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7022","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=7022, right_input=1063, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=7022","layer":3},{"info":"number node, value=3398","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=1637, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-20016","layer":3},{"info":"compute binary expreesion, left_input=7022, right_input=-20016, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-40161","layer":2},{"info":"compute unary expreesion, input=-40161, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1612905921","layer":1},{"info":"compute unary expreesion, input=1612905921, 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":3,"result_base":3,"text":"⊬↢(⨵≀≌⫏≰100122002⋣⋖⫏≰1110101⫸⊐⫏≰11122212⨒⫏≰2020122)=NaN","reverse_text":"NaN=⊬↢(⨵≀≌⫏≰100122002⋣⋖⫏≰1110101⫸⊐⫏≰11122212⨒⫏≰2020122)","cot":[{"info":"⫏≰100122002⋣⋖⫏≰1110101=⫏≰100122002","layer":3},{"info":"⫏≰11122212⨒⫏≰2020122=⫏≰-1000110100","layer":3},{"info":"⫏≰100122002⫸⊐⫏≰-1000110100=⫏≰-2001002110","layer":2},{"info":"⨵≀≌⫏≰-2001002110=⫏≰11011101222002222100","layer":1},{"info":"⊬↢⫏≰11011101222002222100=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"($4529$∓⋝$4140$⩵∡$2108$+⇶⊼$6106$∙⊟($1681$⋷$2069$)↬$1477$⪭$1373$)⫁(($1006$⋣⋖$1000$)⪚($3763$⪥$2541$)⫸⇳(⨑⩽⪐$9344$)⊴($3518$⫸⇳$1048$))","expression":"(⫏≰20012202∓⋝⫏≰12200100⩵∡⫏≰2220002+⇶⊼⫏≰22101011∙⊟(⫏≰2022021⋷⫏≰2211122)↬⫏≰2000201⪭⫏≰1212212)⫁((⫏≰1101021⋣⋖⫏≰1101001)⪚(⫏≰12011101⪥⫏≰10111010)⫸⇳(⨑⩽⪐⫏≰110211002)⊴(⫏≰11211022⫸⇳⫏≰1102211))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":259,"operation_count":15,"complexity_ratio":17.266666666666666,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4529,"base":3},"right_expr":{"type":"numeric_atoms","value":4140,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2108,"base":3},"right_expr":{"type":"numeric_atoms","value":6106,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1681,"base":3},"right_expr":{"type":"numeric_atoms","value":2069,"base":3}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1477,"base":3},"right_expr":{"type":"numeric_atoms","value":1373,"base":3}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3763,"base":3},"right_expr":{"type":"numeric_atoms","value":2541,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":9344,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3518,"base":3},"right_expr":{"type":"numeric_atoms","value":1048,"base":3}}}}},"used_operators":["0ajvFaJAv0","SxTAKzQCrw","Y7wcNGrDQJ","PoHhknlbAi","TpPTUOHfaN","B5M0gjZbta","23Mk6UjR3U","j9kHMeSvPp","gx7XJ7hdpj","HrjLwUk87U","J0M6qkBnIM","QbnwKVWMIQ","Nsiff2A1zJ","AF7qkfDlqP"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4529","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=4529, right_input=4140, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2108","layer":4},{"info":"number node, value=6106","layer":4},{"info":"compute binary expreesion, left_input=2108, right_input=6106, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=1681","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=2069, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2457","layer":3},{"info":"number node, value=1477","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1373, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=2457, right_input=5, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1000, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1006","layer":3},{"info":"number node, value=3763","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=3763, right_input=2541, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19704","layer":3},{"info":"compute binary expreesion, left_input=1006, right_input=19704, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-37752","layer":2},{"info":"number node, value=9344","layer":4},{"info":"compute unary expreesion, input=9344, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-9071","layer":3},{"info":"number node, value=3518","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=1048, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9071, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=-37752, right_input=-79, 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=nan, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20012202∓⋝⫏≰12200100⩵∡⫏≰2220002+⇶⊼⫏≰22101011∙⊟(⫏≰2022021⋷⫏≰2211122)↬⫏≰2000201⪭⫏≰1212212)⫁((⫏≰1101021⋣⋖⫏≰1101001)⪚(⫏≰12011101⪥⫏≰10111010)⫸⇳(⨑⩽⪐⫏≰110211002)⊴(⫏≰11211022⫸⇳⫏≰1102211))=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰20012202∓⋝⫏≰12200100⩵∡⫏≰2220002+⇶⊼⫏≰22101011∙⊟(⫏≰2022021⋷⫏≰2211122)↬⫏≰2000201⪭⫏≰1212212)⫁((⫏≰1101021⋣⋖⫏≰1101001)⪚(⫏≰12011101⪥⫏≰10111010)⫸⇳(⨑⩽⪐⫏≰110211002)⊴(⫏≰11211022⫸⇳⫏≰1102211))","cot":[{"info":"⫏≰20012202∓⋝⫏≰12200100=⫏≰2111","layer":3},{"info":"⫏≰2220002+⇶⊼⫏≰22101011=NaN","layer":3},{"info":"⫏≰2111⩵∡NaN=NaN","layer":2},{"info":"⫏≰2022021⋷⫏≰2211122=⫏≰10101000","layer":3},{"info":"⫏≰2000201⪭⫏≰1212212=⫏≰12","layer":3},{"info":"⫏≰10101000↬⫏≰12=NaN","layer":2},{"info":"NaN∙⊟NaN=NaN","layer":1},{"info":"⫏≰1101021⋣⋖⫏≰1101001=⫏≰1101021","layer":3},{"info":"⫏≰12011101⪥⫏≰10111010=⫏≰1000000210","layer":3},{"info":"⫏≰1101021⪚⫏≰1000000210=⫏≰-1220210020","layer":2},{"info":"⨑⩽⪐⫏≰110211002=⫏≰-110102222","layer":3},{"info":"⫏≰11211022⫸⇳⫏≰1102211=⫏≰0","layer":3},{"info":"⫏≰-110102222⊴⫏≰0=⫏≰-2221","layer":2},{"info":"⫏≰-1220210020⫸⇳⫏≰-2221=⫏≰0","layer":1},{"info":"NaN⫁⫏≰0=⫏≰12221","layer":0}]}
{"id":54,"expression_no_base_symbol":"≇⪴((↞≼$3976$)⪚($1142$↱$1793$)≀⫉((⋗⩬⋾$3251$)⪑⩈))","expression":"≇⪴((↞≼⫏≰12110021)⪚(⫏≰1120022↱⫏≰2110102)≀⫉((⋗⩬⋾⫏≰11110102)⪑⩈))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":268,"operation_count":7,"complexity_ratio":38.285714285714285,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3976,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1142,"base":3},"right_expr":{"type":"numeric_atoms","value":1793,"base":3}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3251,"base":3}}}}},"used_operators":["zoVPnxeHJ3","oZj3VtZNQx","HrjLwUk87U","DE7zCoGJt9","SR5kFfdi6N","C6VvDP6HwP","DpFCA1CohY"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-100202221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3976","layer":4},{"info":"compute unary expreesion, input=3976, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=31394","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=1793, 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=-4857","layer":3},{"info":"compute binary expreesion, left_input=31394, right_input=-4857, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=72146","layer":2},{"info":"number node, value=3251","layer":4},{"info":"compute unary expreesion, input=3251, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9753","layer":3},{"info":"compute unary expreesion, input=-9753, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=9795","layer":2},{"info":"compute binary expreesion, left_input=72146, right_input=9795, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7126","layer":0}],"base":3,"result_base":3,"text":"≇⪴((↞≼⫏≰12110021)⪚(⫏≰1120022↱⫏≰2110102)≀⫉((⋗⩬⋾⫏≰11110102)⪑⩈))=⫏≰-100202221","reverse_text":"⫏≰-100202221=≇⪴((↞≼⫏≰12110021)⪚(⫏≰1120022↱⫏≰2110102)≀⫉((⋗⩬⋾⫏≰11110102)⪑⩈))","cot":[{"info":"↞≼⫏≰12110021=⫏≰1121001202","layer":3},{"info":"⫏≰1120022↱⫏≰2110102=⫏≰-20122220","layer":3},{"info":"⫏≰1121001202⪚⫏≰-20122220=⫏≰10122222002","layer":2},{"info":"⋗⩬⋾⫏≰11110102=⫏≰-111101020","layer":3},{"info":"⫏≰-111101020⪑⩈=⫏≰111102210","layer":2},{"info":"⫏≰10122222002≀⫉⫏≰111102210=⫏≰10212112","layer":1},{"info":"≇⪴⫏≰10212112=⫏≰-100202221","layer":0}]}
{"id":55,"expression_no_base_symbol":"(($7029$⨎⋸⪻)⪔⊥($1292$⪔$1158$))⩦($3024$⊹∫⫚$4801$⊦⊿)≳⇉(⨡↴($2100$⫢⨠$5584$⪁($5633$⫌⩹⨱)))","expression":"((⫏≰100122100⨎⋸⪻)⪔⊥(⫏≰1202212⪔⫏≰1120220))⩦(⫏≰11011000⊹∫⫚⫏≰20120211⊦⊿)≳⇉(⨡↴(⫏≰2212210⫢⨠⫏≰21122211⪁(⫏≰21201122⫌⩹⨱)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14352,"operation_count":11,"complexity_ratio":1304.7272727272727,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":7029,"base":3}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1292,"base":3},"right_expr":{"type":"numeric_atoms","value":1158,"base":3}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3024,"base":3},"right_expr":{"type":"numeric_atoms","value":4801,"base":3}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2100,"base":3},"right_expr":{"type":"numeric_atoms","value":5584,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5633,"base":3}}}}},"used_operators":["V0kx6qeWkN","0kmYd0q39Y","HJ9erzHUuu","Dk5vyLCiGd","GjBEYRfMaF","14qkJME0vr","uWAJUKEvyW","liw5iZPkLH","I7sXao9hZE","xlXykHWxX1","EBcxylXtPf"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","IWmyXbctLI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","P8v4zCKN1o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7029","layer":4},{"info":"compute unary expreesion, input=7029, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=14374","layer":3},{"info":"number node, value=1292","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=1158, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=14374, right_input=450, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=56397","layer":2},{"info":"number node, value=3024","layer":4},{"info":"number node, value=4801","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=4801, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-200","layer":3},{"info":"compute unary expreesion, input=-200, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=521","layer":2},{"info":"compute binary expreesion, left_input=56397, right_input=521, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=112794","layer":1},{"info":"number node, value=2100","layer":4},{"info":"number node, value=5584","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=5584, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=5633","layer":4},{"info":"compute unary expreesion, input=5633, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=12667","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=12667, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=112794, right_input=nan, 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":3,"result_base":3,"text":"((⫏≰100122100⨎⋸⪻)⪔⊥(⫏≰1202212⪔⫏≰1120220))⩦(⫏≰11011000⊹∫⫚⫏≰20120211⊦⊿)≳⇉(⨡↴(⫏≰2212210⫢⨠⫏≰21122211⪁(⫏≰21201122⫌⩹⨱)))=NaN","reverse_text":"NaN=((⫏≰100122100⨎⋸⪻)⪔⊥(⫏≰1202212⪔⫏≰1120220))⩦(⫏≰11011000⊹∫⫚⫏≰20120211⊦⊿)≳⇉(⨡↴(⫏≰2212210⫢⨠⫏≰21122211⪁(⫏≰21201122⫌⩹⨱)))","cot":[{"info":"⫏≰100122100⨎⋸⪻=⫏≰201201101","layer":3},{"info":"⫏≰1202212⪔⫏≰1120220=⫏≰121200","layer":3},{"info":"⫏≰201201101⪔⊥⫏≰121200=⫏≰2212100210","layer":2},{"info":"⫏≰11011000⊹∫⫚⫏≰20120211=⫏≰-21102","layer":3},{"info":"⫏≰-21102⊦⊿=⫏≰201022","layer":2},{"info":"⫏≰2212100210⩦⫏≰201022=⫏≰12201201120","layer":1},{"info":"⫏≰2212210⫢⨠⫏≰21122211=⫏≰12221","layer":3},{"info":"⫏≰21201122⫌⩹⨱=⫏≰122101011","layer":3},{"info":"⫏≰12221⪁⫏≰122101011=NaN","layer":2},{"info":"⨡↴NaN=NaN","layer":1},{"info":"⫏≰12201201120≳⇉NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(($9030$∺≝⩲$6748$⨼⩣($2764$∇⊂⋱$1367$))⩘⨬⇊)⋅⇍(($1821$≀⫉$1124$⇐≅)∙∹∝(⫵↿($1606$⫸⇳$2942$)))","expression":"((⫏≰110101110∺≝⩲⫏≰100020221⨼⩣(⫏≰10210101∇⊂⋱⫏≰1212122))⩘⨬⇊)⋅⇍((⫏≰2111110≀⫉⫏≰1112122⇐≅)∙∹∝(⫵↿(⫏≰2012111⫸⇳⫏≰11000222)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1119,"operation_count":10,"complexity_ratio":111.9,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":9030,"base":3},"right_expr":{"type":"numeric_atoms","value":6748,"base":3}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2764,"base":3},"right_expr":{"type":"numeric_atoms","value":1367,"base":3}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1821,"base":3},"right_expr":{"type":"numeric_atoms","value":1124,"base":3}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1606,"base":3},"right_expr":{"type":"numeric_atoms","value":2942,"base":3}}}}},"used_operators":["AdZkA7nFnk","XXmTpEpWTW","JxwMv5le6e","KPf6cnQVty","nhYeJWJD5X","HmxsFra2vL","wEfv7U73WA","oZj3VtZNQx","ivGwdmUAux","gx7XJ7hdpj"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⫏≰-211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9030","layer":4},{"info":"number node, value=6748","layer":4},{"info":"compute binary expreesion, left_input=9030, right_input=6748, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2764","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=1367, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4982","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4982, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"number node, value=1821","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1124, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=8434","layer":2},{"info":"number node, value=1606","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=2942, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=8434, right_input=137, 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=nan, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":3,"result_base":3,"text":"((⫏≰110101110∺≝⩲⫏≰100020221⨼⩣(⫏≰10210101∇⊂⋱⫏≰1212122))⩘⨬⇊)⋅⇍((⫏≰2111110≀⫉⫏≰1112122⇐≅)∙∹∝(⫵↿(⫏≰2012111⫸⇳⫏≰11000222)))=⫏≰-211","reverse_text":"⫏≰-211=((⫏≰110101110∺≝⩲⫏≰100020221⨼⩣(⫏≰10210101∇⊂⋱⫏≰1212122))⩘⨬⇊)⋅⇍((⫏≰2111110≀⫉⫏≰1112122⇐≅)∙∹∝(⫵↿(⫏≰2012111⫸⇳⫏≰11000222)))","cot":[{"info":"⫏≰110101110∺≝⩲⫏≰100020221=⫏≰12221","layer":3},{"info":"⫏≰10210101∇⊂⋱⫏≰1212122=⫏≰20211112","layer":3},{"info":"⫏≰12221⨼⩣⫏≰20211112=NaN","layer":2},{"info":"NaN⩘⨬⇊=NaN","layer":1},{"info":"⫏≰2111110≀⫉⫏≰1112122=⫏≰10212112","layer":3},{"info":"⫏≰10212112⇐≅=⫏≰102120101","layer":2},{"info":"⫏≰2012111⫸⇳⫏≰11000222=⫏≰0","layer":3},{"info":"⫵↿⫏≰0=⫏≰12002","layer":2},{"info":"⫏≰102120101∙∹∝⫏≰12002=⫏≰0","layer":1},{"info":"NaN⋅⇍⫏≰0=⫏≰-211","layer":0}]}
{"id":57,"expression_no_base_symbol":"(≀↧⇸($5796$/$2861$)⩌⋺$6394$≴⪞⇿$1122$)⇴((⨂⪏⇭$1317$)≭$1410$⊲⩕⊾$1298$⨔≚≋($1665$%$3252$)⪪($1421$⪁$3678$))","expression":"(≀↧⇸(⫏≰21221200/⫏≰10220222)⩌⋺⫏≰22202211≴⪞⇿⫏≰1112120)⇴((⨂⪏⇭⫏≰1210210)≭⫏≰1221020⊲⩕⊾⫏≰1210002⨔≚≋(⫏≰2021200%⫏≰11110110)⪪(⫏≰1221122⪁⫏≰12001020))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":129951765,"operation_count":12,"complexity_ratio":10829313.75,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5796,"base":3},"right_expr":{"type":"numeric_atoms","value":2861,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6394,"base":3},"right_expr":{"type":"numeric_atoms","value":1122,"base":3}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1317,"base":3}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1410,"base":3},"right_expr":{"type":"numeric_atoms","value":1298,"base":3}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1665,"base":3},"right_expr":{"type":"numeric_atoms","value":3252,"base":3}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1421,"base":3},"right_expr":{"type":"numeric_atoms","value":3678,"base":3}}}}},"used_operators":["4JB6nKBMSY","ljTHtUsqzn","g7Hmc5v1ko","XhwjNDsVaA","lvlrscuwVU","Z57zeUYC9z","rxpJgHHUmx","AYdpE9sXAk","DmTXOeWf9t","xD69zh8xqp","k8jYdgA6NY","I7sXao9hZE"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","AHs5Up7iyr","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5796","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=5796, right_input=2861, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=6394","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=6394, right_input=1122, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=74933516","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=74933516, 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=-74933639","layer":2},{"info":"compute unary expreesion, input=-74933639, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=299734556","layer":1},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2972","layer":3},{"info":"number node, value=1410","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=1298, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-32170","layer":3},{"info":"compute binary expreesion, left_input=2972, right_input=-32170, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1665","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=3252, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1665","layer":3},{"info":"number node, value=1421","layer":4},{"info":"number node, value=3678","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=3678, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1665, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-247504","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-247504, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=299734556, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≀↧⇸(⫏≰21221200/⫏≰10220222)⩌⋺⫏≰22202211≴⪞⇿⫏≰1112120)⇴((⨂⪏⇭⫏≰1210210)≭⫏≰1221020⊲⩕⊾⫏≰1210002⨔≚≋(⫏≰2021200%⫏≰11110110)⪪(⫏≰1221122⪁⫏≰12001020))=NaN","reverse_text":"NaN=(≀↧⇸(⫏≰21221200/⫏≰10220222)⩌⋺⫏≰22202211≴⪞⇿⫏≰1112120)⇴((⨂⪏⇭⫏≰1210210)≭⫏≰1221020⊲⩕⊾⫏≰1210002⨔≚≋(⫏≰2021200%⫏≰11110110)⪪(⫏≰1221122⪁⫏≰12001020))","cot":[{"info":"⫏≰21221200/⫏≰10220222=⫏≰2","layer":3},{"info":"⫏≰22202211≴⪞⇿⫏≰1112120=⫏≰12020000000110102","layer":3},{"info":"⫏≰2⩌⋺⫏≰12020000000110102=⫏≰-12020000000121222","layer":2},{"info":"≀↧⇸⫏≰-12020000000121222=⫏≰202220000002111212","layer":1},{"info":"⨂⪏⇭⫏≰1210210=⫏≰11002002","layer":3},{"info":"⫏≰1221020⊲⩕⊾⫏≰1210002=⫏≰-1122010111","layer":3},{"info":"⫏≰11002002≭⫏≰-1122010111=NaN","layer":2},{"info":"⫏≰2021200%⫏≰11110110=⫏≰2021200","layer":3},{"info":"⫏≰1221122⪁⫏≰12001020=NaN","layer":3},{"info":"⫏≰2021200⪪NaN=⫏≰-110120111211","layer":2},{"info":"NaN⨔≚≋⫏≰-110120111211=NaN","layer":1},{"info":"⫏≰202220000002111212⇴NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"($1272$≳⇉$2283$⫢⨠$6907$↬$3306$)⫯⪬∳($6187$⨑⩅≇$3013$⋻⩜⩜(≑⋹$1599$))≑≱⪘","expression":"(⫏≰1202010≳⇉⫏≰10010120⫢⨠⫏≰100110211↬⫏≰11112110)⫯⪬∳(⫏≰22111011⨑⩅≇⫏≰11010121⋻⩜⩜(≑⋹⫏≰2012020))≑≱⪘","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":64058460,"operation_count":8,"complexity_ratio":8007307.5,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1272,"base":3},"right_expr":{"type":"numeric_atoms","value":2283,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6907,"base":3},"right_expr":{"type":"numeric_atoms","value":3306,"base":3}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":6187,"base":3},"right_expr":{"type":"numeric_atoms","value":3013,"base":3}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1599,"base":3}}}}},"used_operators":["tGSeddj7UK","d7ASUq0ydm","xlXykHWxX1","V0kx6qeWkN","B5M0gjZbta","oDCm7WA9JY","h92wMvzauj","6B9nyZLogK"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rGHVDoGpnC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"number node, value=2283","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2283, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=6907","layer":4},{"info":"number node, value=3306","layer":4},{"info":"compute binary expreesion, left_input=6907, right_input=3306, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=6187","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=6187, right_input=3013, 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=-18561","layer":3},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-18561, right_input=1650, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=76168","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=76168, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1202010≳⇉⫏≰10010120⫢⨠⫏≰100110211↬⫏≰11112110)⫯⪬∳(⫏≰22111011⨑⩅≇⫏≰11010121⋻⩜⩜(≑⋹⫏≰2012020))≑≱⪘=NaN","reverse_text":"NaN=(⫏≰1202010≳⇉⫏≰10010120⫢⨠⫏≰100110211↬⫏≰11112110)⫯⪬∳(⫏≰22111011⨑⩅≇⫏≰11010121⋻⩜⩜(≑⋹⫏≰2012020))≑≱⪘","cot":[{"info":"⫏≰1202010≳⇉⫏≰10010120=NaN","layer":3},{"info":"⫏≰100110211↬⫏≰11112110=NaN","layer":3},{"info":"NaN⫢⨠NaN=NaN","layer":2},{"info":"⫏≰22111011⨑⩅≇⫏≰11010121=⫏≰-221110110","layer":3},{"info":"≑⋹⫏≰2012020=⫏≰2021010","layer":3},{"info":"⫏≰-221110110⋻⩜⩜⫏≰2021010=⫏≰10212111001","layer":2},{"info":"NaN⫯⪬∳⫏≰10212111001=NaN","layer":1},{"info":"NaN≑≱⪘=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"⫡⇟⇯(($8282$⨚$2952$∀⋜↑)⪛⫼(($1085$⊨$1659$)⨹))","expression":"⫡⇟⇯((⫏≰102100202⨚⫏≰11001100∀⋜↑)⪛⫼((⫏≰1111012⊨⫏≰2021110)⨹))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3340,"operation_count":6,"complexity_ratio":556.6666666666666,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":8282,"base":3},"right_expr":{"type":"numeric_atoms","value":2952,"base":3}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1085,"base":3},"right_expr":{"type":"numeric_atoms","value":1659,"base":3}}}}},"used_operators":["qWUSsah53b","hyuBjUqXlG","KipPnG1M2J","nREPSIbpBE","UnCoSGIALn","vg4gO5BX6G"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","BjRHVeLaeN","12rbrZMWeM","mp7IySMOzn","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⫏≰10211212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8282","layer":4},{"info":"number node, value=2952","layer":4},{"info":"compute binary expreesion, left_input=8282, right_input=2952, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=5690","layer":3},{"info":"compute unary expreesion, input=5690, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":2},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1659, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5371","layer":3},{"info":"compute unary expreesion, input=5371, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=10742","layer":2},{"info":"compute binary expreesion, left_input=-484, right_input=10742, 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 unary expreesion, input=968, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2804","layer":0}],"base":3,"result_base":3,"text":"⫡⇟⇯((⫏≰102100202⨚⫏≰11001100∀⋜↑)⪛⫼((⫏≰1111012⊨⫏≰2021110)⨹))=⫏≰10211212","reverse_text":"⫏≰10211212=⫡⇟⇯((⫏≰102100202⨚⫏≰11001100∀⋜↑)⪛⫼((⫏≰1111012⊨⫏≰2021110)⨹))","cot":[{"info":"⫏≰102100202⨚⫏≰11001100=⫏≰21210202","layer":3},{"info":"⫏≰21210202∀⋜↑=⫏≰-122221","layer":2},{"info":"⫏≰1111012⊨⫏≰2021110=⫏≰21100221","layer":3},{"info":"⫏≰21100221⨹=⫏≰112201212","layer":2},{"info":"⫏≰-122221⪛⫼⫏≰112201212=⫏≰1022212","layer":1},{"info":"⫡⇟⇯⫏≰1022212=⫏≰10211212","layer":0}]}
{"id":60,"expression_no_base_symbol":"((($2712$∵≐)⨽($3867$∈))⊀⩕)-($3190$≴⪞⇿$1165$⪨≂$2554$∀⇚≩$1340$)↱($7561$%$8875$)⋅⇍$9129$↹⊜$3610$","expression":"(((⫏≰10201110∵≐)⨽(⫏≰12022020∈))⊀⩕)-(⫏≰11101011≴⪞⇿⫏≰1121011⪨≂⫏≰10111121∀⇚≩⫏≰1211122)↱(⫏≰101101001%⫏≰110011201)⋅⇍⫏≰110112010↹⊜⫏≰11221201","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23965,"operation_count":12,"complexity_ratio":1997.0833333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":2712,"base":3}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":3867,"base":3}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3190,"base":3},"right_expr":{"type":"numeric_atoms","value":1165,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2554,"base":3},"right_expr":{"type":"numeric_atoms","value":1340,"base":3}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7561,"base":3},"right_expr":{"type":"numeric_atoms","value":8875,"base":3}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":9129,"base":3},"right_expr":{"type":"numeric_atoms","value":3610,"base":3}}}}},"used_operators":["rysDP5nf3Z","r0FS3hW4cC","8HhzD0ZcuI","59igzFyhWz","ztP7wcbY7m","SR5kFfdi6N","sdazOOVcIp","lvlrscuwVU","LRNGc0VcxI","AdZkA7nFnk","k8jYdgA6NY","9bazX3JMtO"],"dependent_operators":["rGHVDoGpnC","nhYeJWJD5X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","X99M06cbEe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2712","layer":4},{"info":"compute unary expreesion, input=2712, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1766","layer":3},{"info":"number node, value=3867","layer":4},{"info":"compute unary expreesion, input=3867, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=10930","layer":3},{"info":"compute binary expreesion, left_input=1766, right_input=10930, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9387744","layer":2},{"info":"compute unary expreesion, input=-9387744, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":1},{"info":"number node, value=3190","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=3190, right_input=1165, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=17018012","layer":3},{"info":"number node, value=2554","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=1340, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17018012, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=7561","layer":4},{"info":"number node, value=8875","layer":4},{"info":"compute binary expreesion, left_input=7561, right_input=8875, op_id = k8jYdgA6NY binary_op_definition= 'None', output=7561","layer":3},{"info":"number node, value=9129","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=9129, right_input=3610, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3722","layer":3},{"info":"compute binary expreesion, left_input=7561, right_input=3722, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22, 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=15758","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15758, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10201110∵≐)⨽(⫏≰12022020∈))⊀⩕)-(⫏≰11101011≴⪞⇿⫏≰1121011⪨≂⫏≰10111121∀⇚≩⫏≰1211122)↱(⫏≰101101001%⫏≰110011201)⋅⇍⫏≰110112010↹⊜⫏≰11221201=NaN","reverse_text":"NaN=(((⫏≰10201110∵≐)⨽(⫏≰12022020∈))⊀⩕)-(⫏≰11101011≴⪞⇿⫏≰1121011⪨≂⫏≰10111121∀⇚≩⫏≰1211122)↱(⫏≰101101001%⫏≰110011201)⋅⇍⫏≰110112010↹⊜⫏≰11221201","cot":[{"info":"⫏≰10201110∵≐=⫏≰2102102","layer":3},{"info":"⫏≰12022020∈=⫏≰112222211","layer":3},{"info":"⫏≰2102102⨽⫏≰112222211=⫏≰-122122221120020","layer":2},{"info":"⫏≰-122122221120020⊀⩕=NaN","layer":1},{"info":"⫏≰11101011≴⪞⇿⫏≰1121011=⫏≰1012000121022202","layer":3},{"info":"⫏≰10111121∀⇚≩⫏≰1211122=NaN","layer":3},{"info":"⫏≰1012000121022202⪨≂NaN=NaN","layer":2},{"info":"⫏≰101101001%⫏≰110011201=⫏≰101101001","layer":3},{"info":"⫏≰110112010↹⊜⫏≰11221201=⫏≰12002212","layer":3},{"info":"⫏≰101101001⋅⇍⫏≰12002212=⫏≰-211","layer":2},{"info":"NaN↱⫏≰-211=⫏≰210121122","layer":1},{"info":"NaN-⫏≰210121122=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"(⪭⩑⪱(≦∁(≸$5927$)))⪗","expression":"(⪭⩑⪱(≦∁(≸⫏≰22010112)))⪗","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11513,"operation_count":4,"complexity_ratio":2878.25,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":5927,"base":3}}}}},"used_operators":["VEQNXA0ZBg","SIgE0bArFf","9ICcGScMcE","eOf03JbCpp"],"dependent_operators":["dWAJyo7jo9","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5927","layer":4},{"info":"compute unary expreesion, input=5927, 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":3},{"info":"compute unary expreesion, input=58, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1016","layer":2},{"info":"compute unary expreesion, input=-1016, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute unary expreesion, input=8320752, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪭⩑⪱(≦∁(≸⫏≰22010112)))⪗=NaN","reverse_text":"NaN=(⪭⩑⪱(≦∁(≸⫏≰22010112)))⪗","cot":[{"info":"≸⫏≰22010112=⫏≰2011","layer":3},{"info":"≦∁⫏≰2011=⫏≰-1101122","layer":2},{"info":"⪭⩑⪱⫏≰-1101122=⫏≰120122201221000","layer":1},{"info":"⫏≰120122201221000⪗=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"⫛⫱⨽((($4700$⪨≂$5235$)⩇∃⫛$7059$∴$5817$)⊲⩕⊾(∷≠($4359$⊋$4561$)))","expression":"⫛⫱⨽(((⫏≰20110002⪨≂⫏≰21011220)⩇∃⫛⫏≰100200110∴⫏≰21222110)⊲⩕⊾(∷≠(⫏≰12222110⊋⫏≰20020221)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1838,"operation_count":7,"complexity_ratio":262.57142857142856,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4700,"base":3},"right_expr":{"type":"numeric_atoms","value":5235,"base":3}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":7059,"base":3},"right_expr":{"type":"numeric_atoms","value":5817,"base":3}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4359,"base":3},"right_expr":{"type":"numeric_atoms","value":4561,"base":3}}}}},"used_operators":["DlLNRPXxWL","DmTXOeWf9t","1aApVXNlOP","sdazOOVcIp","hrf7POJlIJ","QiR2Oyf5Xj","W4tP9CfskL"],"dependent_operators":["rGHVDoGpnC","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4700","layer":4},{"info":"number node, value=5235","layer":4},{"info":"compute binary expreesion, left_input=4700, right_input=5235, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-968","layer":3},{"info":"number node, value=7059","layer":4},{"info":"number node, value=5817","layer":4},{"info":"compute binary expreesion, left_input=7059, right_input=5817, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=15766","layer":3},{"info":"compute binary expreesion, left_input=-968, right_input=15766, 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=-968","layer":2},{"info":"number node, value=4359","layer":4},{"info":"number node, value=4561","layer":4},{"info":"compute binary expreesion, left_input=4359, right_input=4561, 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=-5842572","layer":3},{"info":"compute unary expreesion, input=-5842572, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-5842572","layer":2},{"info":"compute binary expreesion, left_input=-968, right_input=-5842572, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=81802686","layer":1},{"info":"compute unary expreesion, input=81802686, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽(((⫏≰20110002⪨≂⫏≰21011220)⩇∃⫛⫏≰100200110∴⫏≰21222110)⊲⩕⊾(∷≠(⫏≰12222110⊋⫏≰20020221)))=NaN","reverse_text":"NaN=⫛⫱⨽(((⫏≰20110002⪨≂⫏≰21011220)⩇∃⫛⫏≰100200110∴⫏≰21222110)⊲⩕⊾(∷≠(⫏≰12222110⊋⫏≰20020221)))","cot":[{"info":"⫏≰20110002⪨≂⫏≰21011220=⫏≰-1022212","layer":3},{"info":"⫏≰100200110∴⫏≰21222110=⫏≰210121221","layer":3},{"info":"⫏≰-1022212⩇∃⫛⫏≰210121221=⫏≰-1022212","layer":2},{"info":"⫏≰12222110⊋⫏≰20020221=⫏≰-101222211111120","layer":3},{"info":"∷≠⫏≰-101222211111120=⫏≰-101222211111120","layer":2},{"info":"⫏≰-1022212⊲⩕⊾⫏≰-101222211111120=⫏≰12200221000012010","layer":1},{"info":"⫛⫱⨽⫏≰12200221000012010=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"(((≸≮$1116$)⨳⩥⨓($3363$≀⩗∶$1548$))∣($4840$↳∿⪆$1025$∙⊟$2243$⨒$2897$))⨐((⊖$2523$)⊮⊟↴(≅≯⇸$1281$))⨂≜(($1409$⫻⋑⊟)↙$1405$⨫⇇↔$2795$)","expression":"(((≸≮⫏≰1112100)⨳⩥⨓(⫏≰11121120≀⩗∶⫏≰2010100))∣(⫏≰20122021↳∿⪆⫏≰1101222∙⊟⫏≰10002002⨒⫏≰10222022))⨐((⊖⫏≰10110110)⊮⊟↴(≅≯⇸⫏≰1202110))⨂≜((⫏≰1221012⫻⋑⊟)↙⫏≰1221001⨫⇇↔⫏≰10211112)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12530,"operation_count":15,"complexity_ratio":835.3333333333334,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1116,"base":3}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3363,"base":3},"right_expr":{"type":"numeric_atoms","value":1548,"base":3}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4840,"base":3},"right_expr":{"type":"numeric_atoms","value":1025,"base":3}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2243,"base":3},"right_expr":{"type":"numeric_atoms","value":2897,"base":3}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2523,"base":3}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1281,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1409,"base":3}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1405,"base":3},"right_expr":{"type":"numeric_atoms","value":2795,"base":3}}}}},"used_operators":["Noe24qw2ks","PPChnnnBFF","nCS4ZIUYfx","AljMvE3RRm","8INZBEW696","SxTAKzQCrw","Cw4SuJJGHO","y75s1iXyHd","k1SHOSEABc","QDVgd2eftb","U6pG0PXrV3","apS25hmuAe","yyfyN0ffXY","o575Zjdmzy","LXhwmt4mBO"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","EBcxylXtPf","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=3363","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=1548, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4840","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=1025, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2243","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=2897, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-13086","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13086, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=2523","layer":4},{"info":"compute unary expreesion, input=2523, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=12801","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12801, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2308","layer":3},{"info":"number node, value=1405","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=2795, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-2308, right_input=-527, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2308","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2308, 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 = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((≸≮⫏≰1112100)⨳⩥⨓(⫏≰11121120≀⩗∶⫏≰2010100))∣(⫏≰20122021↳∿⪆⫏≰1101222∙⊟⫏≰10002002⨒⫏≰10222022))⨐((⊖⫏≰10110110)⊮⊟↴(≅≯⇸⫏≰1202110))⨂≜((⫏≰1221012⫻⋑⊟)↙⫏≰1221001⨫⇇↔⫏≰10211112)=NaN","reverse_text":"NaN=(((≸≮⫏≰1112100)⨳⩥⨓(⫏≰11121120≀⩗∶⫏≰2010100))∣(⫏≰20122021↳∿⪆⫏≰1101222∙⊟⫏≰10002002⨒⫏≰10222022))⨐((⊖⫏≰10110110)⊮⊟↴(≅≯⇸⫏≰1202110))⨂≜((⫏≰1221012⫻⋑⊟)↙⫏≰1221001⨫⇇↔⫏≰10211112)","cot":[{"info":"≸≮⫏≰1112100=NaN","layer":3},{"info":"⫏≰11121120≀⩗∶⫏≰2010100=⫏≰0","layer":3},{"info":"NaN⨳⩥⨓⫏≰0=NaN","layer":2},{"info":"⫏≰20122021↳∿⪆⫏≰1101222=NaN","layer":3},{"info":"⫏≰10002002⨒⫏≰10222022=⫏≰-122221200","layer":3},{"info":"NaN∙⊟⫏≰-122221200=NaN","layer":2},{"info":"NaN∣NaN=NaN","layer":1},{"info":"⊖⫏≰10110110=⫏≰0","layer":3},{"info":"≅≯⇸⫏≰1202110=⫏≰122120010","layer":3},{"info":"⫏≰0⊮⊟↴⫏≰122120010=⫏≰0","layer":2},{"info":"⫏≰1221012⫻⋑⊟=⫏≰-10011111","layer":3},{"info":"⫏≰1221001⨫⇇↔⫏≰10211112=⫏≰-201112","layer":3},{"info":"⫏≰-10011111↙⫏≰-201112=⫏≰-10011111","layer":2},{"info":"⫏≰0⨂≜⫏≰-10011111=NaN","layer":1},{"info":"NaN⨐NaN=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"↽≂((⋃($2722$⫔⩽⩺$1074$))≬⋮$3446$⨜⨶$4016$≠≀$1034$⋣⋖$2010$)","expression":"↽≂((⋃(⫏≰10201211⫔⩽⩺⫏≰1110210))≬⋮⫏≰11201122⨜⨶⫏≰12111202≠≀⫏≰1102022⋣⋖⫏≰2202110)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":88,"operation_count":7,"complexity_ratio":12.571428571428571,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2722,"base":3},"right_expr":{"type":"numeric_atoms","value":1074,"base":3}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3446,"base":3},"right_expr":{"type":"numeric_atoms","value":4016,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1034,"base":3},"right_expr":{"type":"numeric_atoms","value":2010,"base":3}}}}},"used_operators":["u6S6b8DprG","kbkesczE7y","3mBM5G4a3l","i9eR4S00cU","IwW236VD4Y","HiPekx5b7W","J0M6qkBnIM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","g55IO6H4Gj","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫏≰-2101022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2722","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=2722, right_input=1074, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":2},{"info":"number node, value=3446","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=3446, right_input=4016, 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=-7776","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2010, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1034","layer":3},{"info":"compute binary expreesion, left_input=-7776, right_input=1034, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=15858","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15858, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-1736","layer":0}],"base":3,"result_base":3,"text":"↽≂((⋃(⫏≰10201211⫔⩽⩺⫏≰1110210))≬⋮⫏≰11201122⨜⨶⫏≰12111202≠≀⫏≰1102022⋣⋖⫏≰2202110)=⫏≰-2101022","reverse_text":"⫏≰-2101022=↽≂((⋃(⫏≰10201211⫔⩽⩺⫏≰1110210))≬⋮⫏≰11201122⨜⨶⫏≰12111202≠≀⫏≰1102022⋣⋖⫏≰2202110)","cot":[{"info":"⫏≰10201211⫔⩽⩺⫏≰1110210=NaN","layer":3},{"info":"⋃NaN=NaN","layer":2},{"info":"⫏≰11201122⨜⨶⫏≰12111202=⫏≰-101200000","layer":3},{"info":"⫏≰1102022⋣⋖⫏≰2202110=⫏≰1102022","layer":3},{"info":"⫏≰-101200000≠≀⫏≰1102022=⫏≰210202100","layer":2},{"info":"NaN≬⋮⫏≰210202100=⫏≰1012011","layer":1},{"info":"↽≂⫏≰1012011=⫏≰-2101022","layer":0}]}
{"id":65,"expression_no_base_symbol":"($5550$⪔$3535$⫲)⨽($1194$≌$4617$)⊮⊟↴(↘$2232$)⩵∡($1519$≠≀$3511$⫰⋱$2366$≠≀$6001$)⩷∴($1097$⪶≀⋏$1384$⫡⨏$2168$∓⋝$2573$)","expression":"(⫏≰21121120⪔⫏≰11211221⫲)⨽(⫏≰1122020≌⫏≰20100000)⊮⊟↴(↘⫏≰10001200)⩵∡(⫏≰2002021≠≀⫏≰11211001⫰⋱⫏≰10020122≠≀⫏≰22020021)⩷∴(⫏≰1111122⪶≀⋏⫏≰1220021⫡⨏⫏≰2222022∓⋝⫏≰10112022)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8731,"operation_count":14,"complexity_ratio":623.6428571428571,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5550,"base":3},"right_expr":{"type":"numeric_atoms","value":3535,"base":3}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1194,"base":3},"right_expr":{"type":"numeric_atoms","value":4617,"base":3}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2232,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1519,"base":3},"right_expr":{"type":"numeric_atoms","value":3511,"base":3}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2366,"base":3},"right_expr":{"type":"numeric_atoms","value":6001,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1097,"base":3},"right_expr":{"type":"numeric_atoms","value":1384,"base":3}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2168,"base":3},"right_expr":{"type":"numeric_atoms","value":2573,"base":3}}}}},"used_operators":["Y7wcNGrDQJ","8HhzD0ZcuI","9xnGDUPbC6","GjBEYRfMaF","QDVgd2eftb","lyWz822IDG","LdNpr8hQHL","9FxExcQeMw","6o9Blt3TJ6","IwW236VD4Y","QMFrweE19q","zR4jO40bMj","PoHhknlbAi"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","uFcxV4UQCh","rysDP5nf3Z","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⫏≰122221202121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5550","layer":4},{"info":"number node, value=3535","layer":4},{"info":"compute binary expreesion, left_input=5550, right_input=3535, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=177","layer":2},{"info":"number node, value=1194","layer":4},{"info":"number node, value=4617","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=4617, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2232","layer":4},{"info":"compute unary expreesion, input=2232, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=272","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=272, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-92673","layer":1},{"info":"number node, value=1519","layer":4},{"info":"number node, value=3511","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=3511, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2732","layer":3},{"info":"number node, value=2366","layer":4},{"info":"number node, value=6001","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=6001, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4426","layer":3},{"info":"compute binary expreesion, left_input=-2732, right_input=-4426, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=7225","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1384, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6291","layer":3},{"info":"number node, value=2168","layer":4},{"info":"number node, value=2573","layer":4},{"info":"compute binary expreesion, left_input=2168, right_input=2573, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-6291, right_input=67, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-30538","layer":2},{"info":"compute binary expreesion, left_input=7225, right_input=-30538, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=75494","layer":1},{"info":"compute binary expreesion, left_input=-92673, right_input=75494, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=353392","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21121120⪔⫏≰11211221⫲)⨽(⫏≰1122020≌⫏≰20100000)⊮⊟↴(↘⫏≰10001200)⩵∡(⫏≰2002021≠≀⫏≰11211001⫰⋱⫏≰10020122≠≀⫏≰22020021)⩷∴(⫏≰1111122⪶≀⋏⫏≰1220021⫡⨏⫏≰2222022∓⋝⫏≰10112022)=⫏≰122221202121","reverse_text":"⫏≰122221202121=(⫏≰21121120⪔⫏≰11211221⫲)⨽(⫏≰1122020≌⫏≰20100000)⊮⊟↴(↘⫏≰10001200)⩵∡(⫏≰2002021≠≀⫏≰11211001⫰⋱⫏≰10020122≠≀⫏≰22020021)⩷∴(⫏≰1111122⪶≀⋏⫏≰1220021⫡⨏⫏≰2222022∓⋝⫏≰10112022)","cot":[{"info":"⫏≰21121120⪔⫏≰11211221=⫏≰121200","layer":3},{"info":"⫏≰121200⫲=⫏≰20120","layer":2},{"info":"⫏≰1122020≌⫏≰20100000=NaN","layer":3},{"info":"↘⫏≰10001200=⫏≰101002","layer":3},{"info":"NaN⊮⊟↴⫏≰101002=⫏≰0","layer":2},{"info":"⫏≰20120⨽⫏≰0=⫏≰-11201010100","layer":1},{"info":"⫏≰2002021≠≀⫏≰11211001=⫏≰-10202012","layer":3},{"info":"⫏≰10020122≠≀⫏≰22020021=⫏≰-20001221","layer":3},{"info":"⫏≰-10202012⫰⋱⫏≰-20001221=⫏≰100220121","layer":2},{"info":"⫏≰1111122⪶≀⋏⫏≰1220021=⫏≰-22122000","layer":3},{"info":"⫏≰2222022∓⋝⫏≰10112022=⫏≰2111","layer":3},{"info":"⫏≰-22122000⫡⨏⫏≰2111=⫏≰-1112220001","layer":2},{"info":"⫏≰100220121⩷∴⫏≰-1112220001=⫏≰10211120002","layer":1},{"info":"⫏≰-11201010100⩵∡⫏≰10211120002=⫏≰122221202121","layer":0}]}
{"id":66,"expression_no_base_symbol":"(((⨈⫕$1659$)⫰⋱($1935$⩹$1113$))⪷)⋕⪉⪜(⇋↷$5985$⩖⊿$4522$∋($1332$⊢))","expression":"(((⨈⫕⫏≰2021110)⫰⋱(⫏≰2122200⩹⫏≰1112020))⪷)⋕⪉⪜(⇋↷⫏≰22012200⩖⊿⫏≰20012111∋(⫏≰1211100⊢))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":642,"operation_count":9,"complexity_ratio":71.33333333333333,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1659,"base":3}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1935,"base":3},"right_expr":{"type":"numeric_atoms","value":1113,"base":3}}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5985,"base":3},"right_expr":{"type":"numeric_atoms","value":4522,"base":3}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1332,"base":3}}}}},"used_operators":["z6LnFrNh4i","Qctrpi3WzA","6o9Blt3TJ6","megm06wKyl","2Wsdkap16l","SWo3A1KBJH","ukq6epAj5P","RZ5CV9rWsJ","40aOVDgCDB"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Nsiff2A1zJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D"],"result":"⫏≰21120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1935","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=1113, 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=1111","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1111, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=54","layer":2},{"info":"compute unary expreesion, input=54, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"number node, value=5985","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=5985, right_input=4522, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=12154","layer":3},{"info":"number node, value=1332","layer":4},{"info":"compute unary expreesion, input=1332, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1579","layer":3},{"info":"compute binary expreesion, left_input=12154, right_input=-1579, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-103240","layer":2},{"info":"compute unary expreesion, input=-103240, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-412320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-412320, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":3,"result_base":3,"text":"(((⨈⫕⫏≰2021110)⫰⋱(⫏≰2122200⩹⫏≰1112020))⪷)⋕⪉⪜(⇋↷⫏≰22012200⩖⊿⫏≰20012111∋(⫏≰1211100⊢))=⫏≰21120","reverse_text":"⫏≰21120=(((⨈⫕⫏≰2021110)⫰⋱(⫏≰2122200⩹⫏≰1112020))⪷)⋕⪉⪜(⇋↷⫏≰22012200⩖⊿⫏≰20012111∋(⫏≰1211100⊢))","cot":[{"info":"⨈⫕⫏≰2021110=⫏≰-210","layer":3},{"info":"⫏≰2122200⩹⫏≰1112020=⫏≰1112011","layer":3},{"info":"⫏≰-210⫰⋱⫏≰1112011=⫏≰2000","layer":2},{"info":"⫏≰2000⪷=NaN","layer":1},{"info":"⫏≰22012200⩖⊿⫏≰20012111=⫏≰121200011","layer":3},{"info":"⫏≰1211100⊢=⫏≰-2011111","layer":3},{"info":"⫏≰121200011∋⫏≰-2011111=⫏≰-12020121201","layer":2},{"info":"⇋↷⫏≰-12020121201=⫏≰-202221121010","layer":1},{"info":"NaN⋕⪉⪜⫏≰-202221121010=⫏≰21120","layer":0}]}
{"id":67,"expression_no_base_symbol":"((⇜⊴$2291$⋣⋖$1491$)⊊)⩦((($3225$↱$4886$)⫥∨⫟($1149$↙$5645$))⨜⨶(($1541$∪⫐$5130$)∙⊟(∨∊⋏$5151$)))","expression":"((⇜⊴⫏≰10010212⋣⋖⫏≰2001020)⊊)⩦(((⫏≰11102110↱⫏≰20200222)⫥∨⫟(⫏≰1120120↙⫏≰21202002))⨜⨶((⫏≰2010002∪⫐⫏≰21001000)∙⊟(∨∊⋏⫏≰21001210)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7913,"operation_count":11,"complexity_ratio":719.3636363636364,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2291,"base":3},"right_expr":{"type":"numeric_atoms","value":1491,"base":3}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3225,"base":3},"right_expr":{"type":"numeric_atoms","value":4886,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1149,"base":3},"right_expr":{"type":"numeric_atoms","value":5645,"base":3}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1541,"base":3},"right_expr":{"type":"numeric_atoms","value":5130,"base":3}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":5151,"base":3}}}}},"used_operators":["0kmYd0q39Y","W9R8I5fN5A","XwDhCwWbUn","J0M6qkBnIM","HiPekx5b7W","KYD54nUTWz","SR5kFfdi6N","yyfyN0ffXY","SxTAKzQCrw","7YooWSwCyH","R5aXW34M0v"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","tmPS8pqC7x","DpFCA1CohY","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rJVOvQCfKK","2DDjHMKMc0","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⫏≰100020110100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2291","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=1491, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2291","layer":3},{"info":"compute unary expreesion, input=2291, 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=-526962","layer":2},{"info":"compute unary expreesion, input=-526962, 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":"number node, value=3225","layer":4},{"info":"number node, value=4886","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=4886, 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=-14136","layer":3},{"info":"number node, value=1149","layer":4},{"info":"number node, value=5645","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=5645, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16935","layer":3},{"info":"compute binary expreesion, left_input=-14136, right_input=-16935, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1541","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=5130, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1541","layer":3},{"info":"number node, value=5151","layer":4},{"info":"compute unary expreesion, input=5151, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=110423","layer":3},{"info":"compute binary expreesion, left_input=1541, right_input=110423, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=29879","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29879, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=90927, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=181854","layer":0}],"base":3,"result_base":3,"text":"((⇜⊴⫏≰10010212⋣⋖⫏≰2001020)⊊)⩦(((⫏≰11102110↱⫏≰20200222)⫥∨⫟(⫏≰1120120↙⫏≰21202002))⨜⨶((⫏≰2010002∪⫐⫏≰21001000)∙⊟(∨∊⋏⫏≰21001210)))=⫏≰100020110100","reverse_text":"⫏≰100020110100=((⇜⊴⫏≰10010212⋣⋖⫏≰2001020)⊊)⩦(((⫏≰11102110↱⫏≰20200222)⫥∨⫟(⫏≰1120120↙⫏≰21202002))⨜⨶((⫏≰2010002∪⫐⫏≰21001000)∙⊟(∨∊⋏⫏≰21001210)))","cot":[{"info":"⫏≰10010212⋣⋖⫏≰2001020=⫏≰10010212","layer":3},{"info":"⇜⊴⫏≰10010212=⫏≰-222202212010","layer":2},{"info":"⫏≰-222202212010⊊=⫏≰11121201200","layer":1},{"info":"⫏≰11102110↱⫏≰20200222=⫏≰-201101120","layer":3},{"info":"⫏≰1120120↙⫏≰21202002=⫏≰-212020020","layer":3},{"info":"⫏≰-201101120⫥∨⫟⫏≰-212020020=NaN","layer":2},{"info":"⫏≰2010002∪⫐⫏≰21001000=⫏≰2010002","layer":3},{"info":"∨∊⋏⫏≰21001210=⫏≰12121110202","layer":3},{"info":"⫏≰2010002∙⊟⫏≰12121110202=⫏≰1111222122","layer":2},{"info":"NaN⨜⨶⫏≰1111222122=NaN","layer":1},{"info":"⫏≰11121201200⩦NaN=⫏≰100020110100","layer":0}]}
{"id":68,"expression_no_base_symbol":"((⩏⊷≩$2152$⋛$3173$)/($1499$⫦⪉$1458$)⪔$2227$∘$1173$)⋳⪒((⨑⩽⪐$2131$)⋖∅⋲)≎⪠(⇤←$2331$⩘$2517$)","expression":"((⩏⊷≩⫏≰2221201⋛⫏≰11100112)/(⫏≰2001112⫦⪉⫏≰2000000)⪔⫏≰10001111∘⫏≰1121110)⋳⪒((⨑⩽⪐⫏≰2220221)⋖∅⋲)≎⪠(⇤←⫏≰10012100⩘⫏≰10110020)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25140,"operation_count":12,"complexity_ratio":2095.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2152,"base":3},"right_expr":{"type":"numeric_atoms","value":3173,"base":3}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1499,"base":3},"right_expr":{"type":"numeric_atoms","value":1458,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2227,"base":3},"right_expr":{"type":"numeric_atoms","value":1173,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2131,"base":3}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2331,"base":3},"right_expr":{"type":"numeric_atoms","value":2517,"base":3}}}}},"used_operators":["12rbrZMWeM","XhwjNDsVaA","uOZ1tnYMDE","YbUVn0Rbpy","GjBEYRfMaF","wscyQdcy20","Z5m6OM72h2","aNhz54LH3e","L95AwlJzhO","AF7qkfDlqP","jfAgQ2OQeM","cHh1gJQ2o6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eH2TOUuTDT","rysDP5nf3Z","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⫏≰-220110122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2152","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=3173, 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=-112824","layer":3},{"info":"compute unary expreesion, input=-112824, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=451910","layer":2},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1458, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1902","layer":3},{"info":"number node, value=2227","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=1173, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4454","layer":3},{"info":"compute binary expreesion, left_input=1902, right_input=4454, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=451910, right_input=450, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1004","layer":1},{"info":"number node, value=2131","layer":4},{"info":"compute unary expreesion, input=2131, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1858","layer":3},{"info":"compute unary expreesion, input=-1858, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":2},{"info":"number node, value=2331","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=2517, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=566","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=566, 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=1004, right_input=19558, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-17837","layer":0}],"base":3,"result_base":3,"text":"((⩏⊷≩⫏≰2221201⋛⫏≰11100112)/(⫏≰2001112⫦⪉⫏≰2000000)⪔⫏≰10001111∘⫏≰1121110)⋳⪒((⨑⩽⪐⫏≰2220221)⋖∅⋲)≎⪠(⇤←⫏≰10012100⩘⫏≰10110020)=⫏≰-220110122","reverse_text":"⫏≰-220110122=((⩏⊷≩⫏≰2221201⋛⫏≰11100112)/(⫏≰2001112⫦⪉⫏≰2000000)⪔⫏≰10001111∘⫏≰1121110)⋳⪒((⨑⩽⪐⫏≰2220221)⋖∅⋲)≎⪠(⇤←⫏≰10012100⩘⫏≰10110020)","cot":[{"info":"⫏≰2221201⋛⫏≰11100112=⫏≰-12201202200","layer":3},{"info":"⩏⊷≩⫏≰-12201202200=⫏≰211221220102","layer":2},{"info":"⫏≰2001112⫦⪉⫏≰2000000=⫏≰2121110","layer":3},{"info":"⫏≰10001111∘⫏≰1121110=⫏≰20002222","layer":3},{"info":"⫏≰2121110⪔⫏≰20002222=⫏≰121200","layer":2},{"info":"⫏≰211221220102/⫏≰121200=⫏≰1101012","layer":1},{"info":"⨑⩽⪐⫏≰2220221=⫏≰-2112211","layer":3},{"info":"⫏≰-2112211⋖∅⋲=⫏≰0","layer":2},{"info":"⫏≰10012100⩘⫏≰10110020=⫏≰12221","layer":3},{"info":"⇤←⫏≰12221=⫏≰202222","layer":2},{"info":"⫏≰0≎⪠⫏≰202222=⫏≰222211101","layer":1},{"info":"⫏≰1101012⋳⪒⫏≰222211101=⫏≰-220110122","layer":0}]}
{"id":69,"expression_no_base_symbol":"($1745$⨔≚≋$2332$∖(⨙⪌$3056$))≁($3908$⋣⋖$4129$⋷(⨣⨃⇪$1718$))%(≀↧⇸(($7879$↙$3099$)⩷∴$1304$≎⪠$8760$))","expression":"(⫏≰2101122⨔≚≋⫏≰10012101∖(⨙⪌⫏≰11012012))≁(⫏≰12100202⋣⋖⫏≰12122221⋷(⨣⨃⇪⫏≰2100122))%(≀↧⇸((⫏≰101210211↙⫏≰11020210)⩷∴⫏≰1210022≎⪠⫏≰110000110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23479,"operation_count":12,"complexity_ratio":1956.5833333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1745,"base":3},"right_expr":{"type":"numeric_atoms","value":2332,"base":3}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":3056,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3908,"base":3},"right_expr":{"type":"numeric_atoms","value":4129,"base":3}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1718,"base":3}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7879,"base":3},"right_expr":{"type":"numeric_atoms","value":3099,"base":3}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1304,"base":3},"right_expr":{"type":"numeric_atoms","value":8760,"base":3}}}}},"used_operators":["k8jYdgA6NY","8N2wDY1A35","tXD093vOjl","Z57zeUYC9z","vEGLkm4Z2k","23Mk6UjR3U","J0M6qkBnIM","AcOhelriW5","ljTHtUsqzn","9FxExcQeMw","yyfyN0ffXY","aNhz54LH3e"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=2332, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=3056","layer":4},{"info":"compute unary expreesion, input=3056, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=868, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=3908","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=3908, right_input=4129, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3908","layer":3},{"info":"number node, value=1718","layer":4},{"info":"compute unary expreesion, input=1718, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=3908, right_input=1405, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1098","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1098, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=7879","layer":4},{"info":"number node, value=3099","layer":4},{"info":"compute binary expreesion, left_input=7879, right_input=3099, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9297","layer":3},{"info":"number node, value=1304","layer":4},{"info":"number node, value=8760","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=8760, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-9297, right_input=19558, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-57742","layer":2},{"info":"compute unary expreesion, input=-57742, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=230968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=230968, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2101122⨔≚≋⫏≰10012101∖(⨙⪌⫏≰11012012))≁(⫏≰12100202⋣⋖⫏≰12122221⋷(⨣⨃⇪⫏≰2100122))%(≀↧⇸((⫏≰101210211↙⫏≰11020210)⩷∴⫏≰1210022≎⪠⫏≰110000110))=NaN","reverse_text":"NaN=(⫏≰2101122⨔≚≋⫏≰10012101∖(⨙⪌⫏≰11012012))≁(⫏≰12100202⋣⋖⫏≰12122221⋷(⨣⨃⇪⫏≰2100122))%(≀↧⇸((⫏≰101210211↙⫏≰11020210)⩷∴⫏≰1210022≎⪠⫏≰110000110))","cot":[{"info":"⫏≰2101122⨔≚≋⫏≰10012101=⫏≰111112122","layer":3},{"info":"⨙⪌⫏≰11012012=⫏≰1012011","layer":3},{"info":"⫏≰111112122∖⫏≰1012011=⫏≰0","layer":2},{"info":"⫏≰12100202⋣⋖⫏≰12122221=⫏≰12100202","layer":3},{"info":"⨣⨃⇪⫏≰2100122=⫏≰1221001","layer":3},{"info":"⫏≰12100202⋷⫏≰1221001=⫏≰-1111200","layer":2},{"info":"⫏≰0≁⫏≰-1111200=NaN","layer":1},{"info":"⫏≰101210211↙⫏≰11020210=⫏≰-110202100","layer":3},{"info":"⫏≰1210022≎⪠⫏≰110000110=⫏≰222211101","layer":3},{"info":"⫏≰-110202100⩷∴⫏≰222211101=⫏≰-2221012121","layer":2},{"info":"≀↧⇸⫏≰-2221012121=⫏≰102201211101","layer":1},{"info":"NaN%⫏≰102201211101=NaN","layer":0}]}
{"id":70,"expression_no_base_symbol":"⊤⊝(⇜($1094$⫚↹⊑$1117$))≁↽≥($1125$⩁⩘$1687$⇴($1837$∝$5191$))","expression":"⊤⊝(⇜(⫏≰1111112⫚↹⊑⫏≰1112101))≁↽≥(⫏≰1112200⩁⩘⫏≰2022111⇴(⫏≰2112001∝⫏≰21010021))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1469,"operation_count":7,"complexity_ratio":209.85714285714286,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1094,"base":3},"right_expr":{"type":"numeric_atoms","value":1117,"base":3}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1125,"base":3},"right_expr":{"type":"numeric_atoms","value":1687,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1837,"base":3},"right_expr":{"type":"numeric_atoms","value":5191,"base":3}}}}},"used_operators":["rXAclfmB4M","ncHt1X6cMc","lFBm8KRb8F","dfKe02y8D2","4JB6nKBMSY","gub5Cegaqo","cTDWOvIxvz"],"dependent_operators":["sdazOOVcIp","oWn0xqSxBt","3Oe9XWJUTD","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","sdazOOVcIp","NTOWxs364D","COABgblf1C","DpFCA1CohY","IWmyXbctLI","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⫏≰1022000102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1117, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=1125","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1687, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7696","layer":3},{"info":"number node, value=1837","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=5191, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1842","layer":3},{"info":"compute binary expreesion, left_input=7696, right_input=1842, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=49474","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=49474, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=13412","layer":1},{"info":"compute unary expreesion, input=13412, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=25526","layer":0}],"base":3,"result_base":3,"text":"⊤⊝(⇜(⫏≰1111112⫚↹⊑⫏≰1112101))≁↽≥(⫏≰1112200⩁⩘⫏≰2022111⇴(⫏≰2112001∝⫏≰21010021))=⫏≰1022000102","reverse_text":"⫏≰1022000102=⊤⊝(⇜(⫏≰1111112⫚↹⊑⫏≰1112101))≁↽≥(⫏≰1112200⩁⩘⫏≰2022111⇴(⫏≰2112001∝⫏≰21010021))","cot":[{"info":"⫏≰1111112⫚↹⊑⫏≰1112101=⫏≰-121120","layer":3},{"info":"⇜⫏≰-121120=⫏≰22121","layer":2},{"info":"⫏≰1112200⩁⩘⫏≰2022111=⫏≰101120001","layer":3},{"info":"⫏≰2112001∝⫏≰21010021=⫏≰2112020","layer":3},{"info":"⫏≰101120001⇴⫏≰2112020=⫏≰2111212101","layer":2},{"info":"⫏≰22121≁↽≥⫏≰2111212101=⫏≰200101202","layer":1},{"info":"⊤⊝⫏≰200101202=⫏≰1022000102","layer":0}]}
{"id":71,"expression_no_base_symbol":"≑⋹(($1480$⫡⨏$1578$)≨(≱⇩⩕$2100$)≥⨤⩑($3689$≧⫂∧$5580$)⋕⪉⪜($1011$⫡⨏$1931$))","expression":"≑⋹((⫏≰2000211⫡⨏⫏≰2011110)≨(≱⇩⩕⫏≰2212210)≥⨤⩑(⫏≰12001122≧⫂∧⫏≰21122200)⋕⪉⪜(⫏≰1101110⫡⨏⫏≰2122112))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":252,"operation_count":8,"complexity_ratio":31.5,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1480,"base":3},"right_expr":{"type":"numeric_atoms","value":1578,"base":3}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2100,"base":3}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3689,"base":3},"right_expr":{"type":"numeric_atoms","value":5580,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1011,"base":3},"right_expr":{"type":"numeric_atoms","value":1931,"base":3}}}}},"used_operators":["6B9nyZLogK","gJLn6v0xnP","0KMCeP1Jsh","QMFrweE19q","3DZMoQKiUl","z6LnFrNh4i","Ph9nP6C5qx"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰2021010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1578, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11339","layer":3},{"info":"number node, value=2100","layer":4},{"info":"compute unary expreesion, input=2100, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=11339, right_input=113, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-110914","layer":2},{"info":"number node, value=3689","layer":4},{"info":"number node, value=5580","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=5580, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5107","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1931, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9700","layer":3},{"info":"compute binary expreesion, left_input=5107, right_input=9700, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=-110914, right_input=204, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, 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":3,"result_base":3,"text":"≑⋹((⫏≰2000211⫡⨏⫏≰2011110)≨(≱⇩⩕⫏≰2212210)≥⨤⩑(⫏≰12001122≧⫂∧⫏≰21122200)⋕⪉⪜(⫏≰1101110⫡⨏⫏≰2122112))=⫏≰2021010","reverse_text":"⫏≰2021010=≑⋹((⫏≰2000211⫡⨏⫏≰2011110)≨(≱⇩⩕⫏≰2212210)≥⨤⩑(⫏≰12001122≧⫂∧⫏≰21122200)⋕⪉⪜(⫏≰1101110⫡⨏⫏≰2122112))","cot":[{"info":"⫏≰2000211⫡⨏⫏≰2011110=⫏≰120112222","layer":3},{"info":"≱⇩⩕⫏≰2212210=⫏≰11012","layer":3},{"info":"⫏≰120112222≨⫏≰11012=⫏≰-12122010221","layer":2},{"info":"⫏≰12001122≧⫂∧⫏≰21122200=⫏≰21000011","layer":3},{"info":"⫏≰1101110⫡⨏⫏≰2122112=⫏≰111022021","layer":3},{"info":"⫏≰21000011⋕⪉⪜⫏≰111022021=⫏≰21120","layer":2},{"info":"⫏≰-12122010221≥⨤⩑⫏≰21120=⫏≰1200201","layer":1},{"info":"≑⋹⫏≰1200201=⫏≰2021010","layer":0}]}
{"id":72,"expression_no_base_symbol":"(⇉-⫰$2787$↓$1584$)⇍⊗(⊵⊁$1023$)⪒⊣⊆$1162$⊕∕$4041$⨪↰⇹(↔(⇘($4639$⫉⨲⊜$2265$)))","expression":"(⇉-⫰⫏≰10211020↓⫏≰2011200)⇍⊗(⊵⊁⫏≰1101220)⪒⊣⊆⫏≰1121001⊕∕⫏≰12112200⨪↰⇹(↔(⇘(⫏≰20100211⫉⨲⊜⫏≰10002220)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22908,"operation_count":10,"complexity_ratio":2290.8,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2787,"base":3},"right_expr":{"type":"numeric_atoms","value":1584,"base":3}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1023,"base":3}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1162,"base":3},"right_expr":{"type":"numeric_atoms","value":4041,"base":3}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4639,"base":3},"right_expr":{"type":"numeric_atoms","value":2265,"base":3}}}}},"used_operators":["tmPS8pqC7x","5uvYHDjeKN","IGFM8TAlm9","Af076pWI7l","eRqsBgTDFp","AvED76WdY7","9cloC0Ngie","ruOEQAzv1W","MGuIdZPyUC","WhqkvtTD3t"],"dependent_operators":["rJVOvQCfKK","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eH2TOUuTDT","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","sdazOOVcIp","W4YGzv6Whe","uBihLCJcMX","k8jYdgA6NY","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eewbuw0ToL","zVYPLywUTj"],"result":"⫏≰-100001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2787","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=2787, right_input=1584, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=5068","layer":3},{"info":"number node, value=1162","layer":4},{"info":"number node, value=4041","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=4041, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1162","layer":3},{"info":"compute binary expreesion, left_input=5068, right_input=1162, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=10136","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=10136, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=4639","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=4639, right_input=2265, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1835","layer":2},{"info":"compute unary expreesion, input=-1835, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-134, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-244","layer":0}],"base":3,"result_base":3,"text":"(⇉-⫰⫏≰10211020↓⫏≰2011200)⇍⊗(⊵⊁⫏≰1101220)⪒⊣⊆⫏≰1121001⊕∕⫏≰12112200⨪↰⇹(↔(⇘(⫏≰20100211⫉⨲⊜⫏≰10002220)))=⫏≰-100001","reverse_text":"⫏≰-100001=(⇉-⫰⫏≰10211020↓⫏≰2011200)⇍⊗(⊵⊁⫏≰1101220)⪒⊣⊆⫏≰1121001⊕∕⫏≰12112200⨪↰⇹(↔(⇘(⫏≰20100211⫉⨲⊜⫏≰10002220)))","cot":[{"info":"⫏≰10211020↓⫏≰2011200=⫏≰-11222","layer":3},{"info":"⇉-⫰⫏≰-11222=⫏≰202","layer":2},{"info":"⊵⊁⫏≰1101220=⫏≰20221201","layer":3},{"info":"⫏≰1121001⊕∕⫏≰12112200=⫏≰1121001","layer":3},{"info":"⫏≰20221201⪒⊣⊆⫏≰1121001=⫏≰111220102","layer":2},{"info":"⫏≰202⇍⊗⫏≰111220102=⫏≰-100001","layer":1},{"info":"⫏≰20100211⫉⨲⊜⫏≰10002220=⫏≰0","layer":3},{"info":"⇘⫏≰0=⫏≰-2111222","layer":2},{"info":"↔⫏≰-2111222=⫏≰-11222","layer":1},{"info":"⫏≰-100001⨪↰⇹⫏≰-11222=⫏≰-100001","layer":0}]}
{"id":73,"expression_no_base_symbol":"(($2382$⪃⊛⇣$2035$%$4897$⩘$1069$)⨳⩥⨓(⨴⫝$7665$)⩚⊴⇥$4963$⪶≀⋏$3318$)⪢(($4305$⨸$6717$≦↸($1825$⊱⇼⊻$1691$))⇉⇱⇎)","expression":"((⫏≰10021020⪃⊛⇣⫏≰2210101%⫏≰20201101⩘⫏≰1110121)⨳⩥⨓(⨴⫝⫏≰101111220)⩚⊴⇥⫏≰20210211⪶≀⋏⫏≰11112220)⪢((⫏≰12220110⨸⫏≰100012210≦↸(⫏≰2111121⊱⇼⊻⫏≰2022122))⇉⇱⇎)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":933728,"operation_count":12,"complexity_ratio":77810.66666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2382,"base":3},"right_expr":{"type":"numeric_atoms","value":2035,"base":3}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4897,"base":3},"right_expr":{"type":"numeric_atoms","value":1069,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":7665,"base":3}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4963,"base":3},"right_expr":{"type":"numeric_atoms","value":3318,"base":3}}}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4305,"base":3},"right_expr":{"type":"numeric_atoms","value":6717,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1825,"base":3},"right_expr":{"type":"numeric_atoms","value":1691,"base":3}}}}},"used_operators":["dWAJyo7jo9","nCS4ZIUYfx","k8jYdgA6NY","rrgAzCduG9","cHh1gJQ2o6","NTOWxs364D","SVb2v531z1","zR4jO40bMj","MRPaB8lBjK","RygbFNSyEJ","KmoU8R5UQR","FyVja0WsTP"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2382","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=2035, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=4897","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=4897, right_input=1069, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=114","layer":2},{"info":"number node, value=7665","layer":4},{"info":"compute unary expreesion, input=7665, 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":3},{"info":"number node, value=4963","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=4963, right_input=3318, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21757","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-21757, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2806562","layer":2},{"info":"compute binary expreesion, left_input=114, right_input=-2806562, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2806676","layer":1},{"info":"number node, value=4305","layer":4},{"info":"number node, value=6717","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=6717, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8610","layer":3},{"info":"number node, value=1825","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=1691, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=8610, right_input=434, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-17407","layer":2},{"info":"compute unary expreesion, input=-17407, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":1},{"info":"compute binary expreesion, left_input=-2806676, right_input=218, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":3,"result_base":3,"text":"((⫏≰10021020⪃⊛⇣⫏≰2210101%⫏≰20201101⩘⫏≰1110121)⨳⩥⨓(⨴⫝⫏≰101111220)⩚⊴⇥⫏≰20210211⪶≀⋏⫏≰11112220)⪢((⫏≰12220110⨸⫏≰100012210≦↸(⫏≰2111121⊱⇼⊻⫏≰2022122))⇉⇱⇎)=NaN","reverse_text":"NaN=((⫏≰10021020⪃⊛⇣⫏≰2210101%⫏≰20201101⩘⫏≰1110121)⨳⩥⨓(⨴⫝⫏≰101111220)⩚⊴⇥⫏≰20210211⪶≀⋏⫏≰11112220)⪢((⫏≰12220110⨸⫏≰100012210≦↸(⫏≰2111121⊱⇼⊻⫏≰2022122))⇉⇱⇎)","cot":[{"info":"⫏≰10021020⪃⊛⇣⫏≰2210101=⫏≰1200201","layer":3},{"info":"⫏≰20201101⩘⫏≰1110121=⫏≰12221","layer":3},{"info":"⫏≰1200201%⫏≰12221=⫏≰11020","layer":2},{"info":"⨴⫝⫏≰101111220=⫏≰12022200120002","layer":3},{"info":"⫏≰20210211⪶≀⋏⫏≰11112220=⫏≰-1002211211","layer":3},{"info":"⫏≰12022200120002⩚⊴⇥⫏≰-1002211211=⫏≰-12021120212202","layer":2},{"info":"⫏≰11020⨳⩥⨓⫏≰-12021120212202=⫏≰-12021121000222","layer":1},{"info":"⫏≰12220110⨸⫏≰100012210=⫏≰102210220","layer":3},{"info":"⫏≰2111121⊱⇼⊻⫏≰2022122=⫏≰121002","layer":3},{"info":"⫏≰102210220≦↸⫏≰121002=⫏≰-212212201","layer":2},{"info":"⫏≰-212212201⇉⇱⇎=⫏≰22002","layer":1},{"info":"⫏≰-12021121000222⪢⫏≰22002=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"(≪(↔$1221$))∛(≘($4541$⨿$2989$))⨔≚≋($4994$≦≮≮)⫘($2274$⫢⨠$1915$)⨚(($7676$∀⋜↑)⨳⩥⨓(⇋↷$5912$))","expression":"(≪(↔⫏≰1200020))∛(≘(⫏≰20020012⨿⫏≰11002201))⨔≚≋(⫏≰20211222≦≮≮)⫘(⫏≰10010020⫢⨠⫏≰2121221)⨚((⫏≰101112022∀⋜↑)⨳⩥⨓(⇋↷⫏≰22002222))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15910,"operation_count":13,"complexity_ratio":1223.8461538461538,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1221,"base":3}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4541,"base":3},"right_expr":{"type":"numeric_atoms","value":2989,"base":3}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4994,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2274,"base":3},"right_expr":{"type":"numeric_atoms","value":1915,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":7676,"base":3}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":5912,"base":3}}}}},"used_operators":["Z57zeUYC9z","w2537kitQq","Qtd6bqUJcN","ruOEQAzv1W","tcjXMdvYtA","abYXlopdE0","nREPSIbpBE","48vC8HMD2b","D4vGDi5EA2","xlXykHWxX1","nCS4ZIUYfx","KipPnG1M2J","SWo3A1KBJH"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","BjRHVeLaeN","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"⫏≰-2201112222201102012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":4},{"info":"compute unary expreesion, input=1221, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-948","layer":3},{"info":"compute unary expreesion, input=-948, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=11247","layer":2},{"info":"number node, value=4541","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=4541, right_input=2989, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=187310","layer":2},{"info":"compute binary expreesion, left_input=11247, right_input=187310, 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=4994","layer":4},{"info":"compute unary expreesion, input=4994, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14982","layer":3},{"info":"number node, value=2274","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1915, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-14982, right_input=160, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=66060359","layer":2},{"info":"number node, value=7676","layer":4},{"info":"compute unary expreesion, input=7676, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=5912","layer":4},{"info":"compute unary expreesion, input=5912, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=47296","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=47296, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=47780","layer":2},{"info":"compute binary expreesion, left_input=66060359, right_input=47780, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=131930532","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=131930532, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-1055436296","layer":0}],"base":3,"result_base":3,"text":"(≪(↔⫏≰1200020))∛(≘(⫏≰20020012⨿⫏≰11002201))⨔≚≋(⫏≰20211222≦≮≮)⫘(⫏≰10010020⫢⨠⫏≰2121221)⨚((⫏≰101112022∀⋜↑)⨳⩥⨓(⇋↷⫏≰22002222))=⫏≰-2201112222201102012","reverse_text":"⫏≰-2201112222201102012=(≪(↔⫏≰1200020))∛(≘(⫏≰20020012⨿⫏≰11002201))⨔≚≋(⫏≰20211222≦≮≮)⫘(⫏≰10010020⫢⨠⫏≰2121221)⨚((⫏≰101112022∀⋜↑)⨳⩥⨓(⇋↷⫏≰22002222))","cot":[{"info":"↔⫏≰1200020=⫏≰-1022010","layer":3},{"info":"≪⫏≰-1022010=⫏≰120102120","layer":2},{"info":"⫏≰20020012⨿⫏≰11002201=⫏≰-102211","layer":3},{"info":"≘⫏≰-102211=⫏≰100111221102","layer":2},{"info":"⫏≰120102120∛⫏≰100111221102=⫏≰-220211","layer":1},{"info":"⫏≰20211222≦≮≮=⫏≰-202112220","layer":3},{"info":"⫏≰10010020⫢⨠⫏≰2121221=⫏≰12221","layer":3},{"info":"⫏≰-202112220⫘⫏≰12221=⫏≰11121022012202222","layer":2},{"info":"⫏≰101112022∀⋜↑=⫏≰-122221","layer":3},{"info":"⇋↷⫏≰22002222=⫏≰2101212201","layer":3},{"info":"⫏≰-122221⨳⩥⨓⫏≰2101212201=⫏≰2102112122","layer":2},{"info":"⫏≰11121022012202222⨚⫏≰2102112122=⫏≰100012020202200000","layer":1},{"info":"⫏≰-220211⨔≚≋⫏≰100012020202200000=⫏≰-2201112222201102012","layer":0}]}
{"id":75,"expression_no_base_symbol":"((⇋↷$1185$⋛$2019$)⩹($5944$⫳≱↱$8261$)⪕($5416$⋅⇍$4947$))⫌⩹⨱","expression":"((⇋↷⫏≰1121220⋛⫏≰2202210)⩹(⫏≰22011011⫳≱↱⫏≰102022222)⪕(⫏≰21102121⋅⇍⫏≰20210020))⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":617,"operation_count":7,"complexity_ratio":88.14285714285714,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1185,"base":3},"right_expr":{"type":"numeric_atoms","value":2019,"base":3}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5944,"base":3},"right_expr":{"type":"numeric_atoms","value":8261,"base":3}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5416,"base":3},"right_expr":{"type":"numeric_atoms","value":4947,"base":3}}}}},"used_operators":["EBcxylXtPf","2Wsdkap16l","SWo3A1KBJH","YbUVn0Rbpy","umQnsF7QlU","ZvLB05nZmT","AdZkA7nFnk"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⫏≰10022220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1185","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=2019, 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=-121527","layer":3},{"info":"compute unary expreesion, input=-121527, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-485468","layer":2},{"info":"number node, value=5944","layer":4},{"info":"number node, value=8261","layer":4},{"info":"compute binary expreesion, left_input=5944, right_input=8261, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=5416","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=5416, right_input=4947, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-22, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=515","layer":2},{"info":"compute binary expreesion, left_input=-485468, right_input=515, 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=513","layer":1},{"info":"compute unary expreesion, input=513, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=2427","layer":0}],"base":3,"result_base":3,"text":"((⇋↷⫏≰1121220⋛⫏≰2202210)⩹(⫏≰22011011⫳≱↱⫏≰102022222)⪕(⫏≰21102121⋅⇍⫏≰20210020))⫌⩹⨱=⫏≰10022220","reverse_text":"⫏≰10022220=((⇋↷⫏≰1121220⋛⫏≰2202210)⩹(⫏≰22011011⫳≱↱⫏≰102022222)⪕(⫏≰21102121⋅⇍⫏≰20210020))⫌⩹⨱","cot":[{"info":"⫏≰1121220⋛⫏≰2202210=⫏≰-20011201000","layer":3},{"info":"⇋↷⫏≰-20011201000=⫏≰-220122221022","layer":2},{"info":"⫏≰22011011⫳≱↱⫏≰102022222=⫏≰-21120","layer":3},{"info":"⫏≰21102121⋅⇍⫏≰20210020=⫏≰-211","layer":3},{"info":"⫏≰-21120⪕⫏≰-211=⫏≰201002","layer":2},{"info":"⫏≰-220122221022⩹⫏≰201002=⫏≰201000","layer":1},{"info":"⫏≰201000⫌⩹⨱=⫏≰10022220","layer":0}]}
{"id":76,"expression_no_base_symbol":"⋂(∤($5453$⨫⇇↔$2728$)⪬($1196$⊨$6594$))","expression":"⋂(∤(⫏≰21110222⨫⇇↔⫏≰10202001)⪬(⫏≰1122022⊨⫏≰100001020))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":616,"operation_count":5,"complexity_ratio":123.2,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":5453,"base":3},"right_expr":{"type":"numeric_atoms","value":2728,"base":3}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1196,"base":3},"right_expr":{"type":"numeric_atoms","value":6594,"base":3}}}}},"used_operators":["BUOGQAYlQx","k2HlF1dBQh","Ez1Nq5fNfI","LXhwmt4mBO","vg4gO5BX6G"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⫏≰122102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5453","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=5453, right_input=2728, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=6594","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=6594, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5815","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=5815, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=470","layer":0}],"base":3,"result_base":3,"text":"⋂(∤(⫏≰21110222⨫⇇↔⫏≰10202001)⪬(⫏≰1122022⊨⫏≰100001020))=⫏≰122102","reverse_text":"⫏≰122102=⋂(∤(⫏≰21110222⨫⇇↔⫏≰10202001)⪬(⫏≰1122022⊨⫏≰100001020))","cot":[{"info":"⫏≰21110222⨫⇇↔⫏≰10202001=⫏≰-201112","layer":3},{"info":"⫏≰1122022⊨⫏≰100001020=⫏≰21222101","layer":3},{"info":"⫏≰-201112⪬⫏≰21222101=⫏≰1200201","layer":2},{"info":"∤⫏≰1200201=⫏≰100","layer":1},{"info":"⋂⫏≰100=⫏≰122102","layer":0}]}
{"id":77,"expression_no_base_symbol":"(≉(∤$6055$)⋅⇍$1501$↼⊘⨖$3945$)↸(⊊≼∋(($1689$⪬∳)⊾⪯⋞($1107$↫)))","expression":"(≉(∤⫏≰22022021)⋅⇍⫏≰2001121↼⊘⨖⫏≰12102010)↸(⊊≼∋((⫏≰2022120⪬∳)⊾⪯⋞(⫏≰1112000↫)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5295,"operation_count":9,"complexity_ratio":588.3333333333334,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":6055,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1501,"base":3},"right_expr":{"type":"numeric_atoms","value":3945,"base":3}}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1689,"base":3}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1107,"base":3}}}}},"used_operators":["1eCjFl0mb9","e1ybzncUwg","AdZkA7nFnk","k2HlF1dBQh","bPywburJMS","FWz7pXsQhA","HK0tfVPux8","O9U3z1385E","uPb5QRN0te"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"⫏≰200212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6055","layer":4},{"info":"compute unary expreesion, input=6055, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1501","layer":4},{"info":"number node, value=3945","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=3945, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7668","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=7668, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=509","layer":1},{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=160, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"compute unary expreesion, input=-818, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=509, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=509","layer":0}],"base":3,"result_base":3,"text":"(≉(∤⫏≰22022021)⋅⇍⫏≰2001121↼⊘⨖⫏≰12102010)↸(⊊≼∋((⫏≰2022120⪬∳)⊾⪯⋞(⫏≰1112000↫)))=⫏≰200212","reverse_text":"⫏≰200212=(≉(∤⫏≰22022021)⋅⇍⫏≰2001121↼⊘⨖⫏≰12102010)↸(⊊≼∋((⫏≰2022120⪬∳)⊾⪯⋞(⫏≰1112000↫)))","cot":[{"info":"∤⫏≰22022021=⫏≰100","layer":3},{"info":"⫏≰2001121↼⊘⨖⫏≰12102010=⫏≰101112000","layer":3},{"info":"⫏≰100⋅⇍⫏≰101112000=⫏≰-211","layer":2},{"info":"≉⫏≰-211=⫏≰200212","layer":1},{"info":"⫏≰2022120⪬∳=⫏≰-222021","layer":3},{"info":"⫏≰1112000↫=⫏≰12221","layer":3},{"info":"⫏≰-222021⊾⪯⋞⫏≰12221=⫏≰-1010022","layer":2},{"info":"⊊≼∋⫏≰-1010022=NaN","layer":1},{"info":"⫏≰200212↸NaN=⫏≰200212","layer":0}]}
{"id":78,"expression_no_base_symbol":"$7429$⪪$8624$⪶≀⋏(≛$6184$)≬⋮(⇋↷($2303$+$2898$))⪨≂$1022$⫯⪬∳$2102$⨭⪣($2770$⨽$1053$)⨽($1864$⪟⇏$1008$↙$1747$⋣⋖$6417$)","expression":"⫏≰101012011⪪⫏≰102211102⪶≀⋏(≛⫏≰22111001)≬⋮(⇋↷(⫏≰10011022+⫏≰10222100))⪨≂⫏≰1101212⫯⪬∳⫏≰2212212⨭⪣(⫏≰10210121⨽⫏≰1110000)⨽(⫏≰2120001⪟⇏⫏≰1101100↙⫏≰2101201⋣⋖⫏≰22210200)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27111,"operation_count":14,"complexity_ratio":1936.5,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":7429,"base":3},"right_expr":{"type":"numeric_atoms","value":8624,"base":3}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":6184,"base":3}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2303,"base":3},"right_expr":{"type":"numeric_atoms","value":2898,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1022,"base":3},"right_expr":{"type":"numeric_atoms","value":2102,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2770,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1864,"base":3},"right_expr":{"type":"numeric_atoms","value":1008,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1747,"base":3},"right_expr":{"type":"numeric_atoms","value":6417,"base":3}}}}},"used_operators":["sdazOOVcIp","kbkesczE7y","zR4jO40bMj","xD69zh8xqp","W7eaUhjymW","SWo3A1KBJH","W4YGzv6Whe","8HhzD0ZcuI","kn8WO9XteQ","d7ASUq0ydm","yyfyN0ffXY","GODebY97qR","J0M6qkBnIM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","tmPS8pqC7x","DpFCA1CohY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫏≰1022001100112102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7429","layer":4},{"info":"number node, value=8624","layer":4},{"info":"compute binary expreesion, left_input=7429, right_input=8624, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1117868","layer":3},{"info":"number node, value=6184","layer":4},{"info":"compute unary expreesion, input=6184, 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":3},{"info":"compute binary expreesion, left_input=-1117868, right_input=-10, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-80","layer":2},{"info":"number node, value=2303","layer":4},{"info":"number node, value=2898","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=2898, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5201","layer":3},{"info":"compute unary expreesion, input=5201, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=41608","layer":2},{"info":"compute binary expreesion, left_input=-80, right_input=41608, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1022","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=2102, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3041","layer":3},{"info":"number node, value=2770","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=2770, right_input=1053, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23020545","layer":3},{"info":"compute binary expreesion, left_input=3041, right_input=-23020545, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1762","layer":2},{"info":"number node, value=1864","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1008, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1747","layer":4},{"info":"number node, value=6417","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=6417, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1747","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1747, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=1762, right_input=-1, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9312615","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-9312615, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=18627068","layer":0}],"base":3,"result_base":3,"text":"⫏≰101012011⪪⫏≰102211102⪶≀⋏(≛⫏≰22111001)≬⋮(⇋↷(⫏≰10011022+⫏≰10222100))⪨≂⫏≰1101212⫯⪬∳⫏≰2212212⨭⪣(⫏≰10210121⨽⫏≰1110000)⨽(⫏≰2120001⪟⇏⫏≰1101100↙⫏≰2101201⋣⋖⫏≰22210200)=⫏≰1022001100112102","reverse_text":"⫏≰1022001100112102=⫏≰101012011⪪⫏≰102211102⪶≀⋏(≛⫏≰22111001)≬⋮(⇋↷(⫏≰10011022+⫏≰10222100))⪨≂⫏≰1101212⫯⪬∳⫏≰2212212⨭⪣(⫏≰10210121⨽⫏≰1110000)⨽(⫏≰2120001⪟⇏⫏≰1101100↙⫏≰2101201⋣⋖⫏≰22210200)","cot":[{"info":"⫏≰101012011⪪⫏≰102211102=⫏≰-2002210102112","layer":3},{"info":"≛⫏≰22111001=⫏≰-101","layer":3},{"info":"⫏≰-2002210102112⪶≀⋏⫏≰-101=⫏≰-2222","layer":2},{"info":"⫏≰10011022+⫏≰10222100=⫏≰21010122","layer":3},{"info":"⇋↷⫏≰21010122=⫏≰2010002001","layer":2},{"info":"⫏≰-2222≬⋮⫏≰2010002001=⫏≰1012011","layer":1},{"info":"⫏≰1101212⫯⪬∳⫏≰2212212=⫏≰11011122","layer":3},{"info":"⫏≰10210121⨽⫏≰1110000=⫏≰-1121022120020210","layer":3},{"info":"⫏≰11011122⨭⪣⫏≰-1121022120020210=⫏≰2102021","layer":2},{"info":"⫏≰2120001⪟⇏⫏≰1101100=⫏≰-1","layer":3},{"info":"⫏≰2101201⋣⋖⫏≰22210200=⫏≰2101201","layer":3},{"info":"⫏≰-1↙⫏≰2101201=⫏≰-1","layer":2},{"info":"⫏≰2102021⨽⫏≰-1=⫏≰-122112010111200","layer":1},{"info":"⫏≰1012011⪨≂⫏≰-122112010111200=⫏≰1022001100112102","layer":0}]}
{"id":79,"expression_no_base_symbol":"(⩷⨜⫀(($3035$∪⫐$4129$)⨱∎))%(-($8007$⨟⋌⩍$4172$)⩁⩘(⨮↦↱$3347$))","expression":"(⩷⨜⫀((⫏≰11011102∪⫐⫏≰12122221)⨱∎))%(-(⫏≰101222120⨟⋌⩍⫏≰12201112)⩁⩘(⨮↦↱⫏≰11120222))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2933,"operation_count":8,"complexity_ratio":366.625,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3035,"base":3},"right_expr":{"type":"numeric_atoms","value":4129,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8007,"base":3},"right_expr":{"type":"numeric_atoms","value":4172,"base":3}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3347,"base":3}}}}},"used_operators":["k8jYdgA6NY","CDi0ktkjQ4","MmTdOpaElr","7YooWSwCyH","t8gj7n24qd","gub5Cegaqo","rGHVDoGpnC","sYcpBQ0cFf"],"dependent_operators":["rysDP5nf3Z","ruOEQAzv1W","nhYeJWJD5X","tifHPKVTfV","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","IWmyXbctLI","Tcnh7f0tEr","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3035","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=3035, right_input=4129, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3035","layer":3},{"info":"compute unary expreesion, input=3035, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"number node, value=8007","layer":4},{"info":"number node, value=4172","layer":4},{"info":"compute binary expreesion, left_input=8007, right_input=4172, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3347","layer":4},{"info":"compute unary expreesion, input=3347, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-24450207","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-24450207, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-766, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⩷⨜⫀((⫏≰11011102∪⫐⫏≰12122221)⨱∎))%(-(⫏≰101222120⨟⋌⩍⫏≰12201112)⩁⩘(⨮↦↱⫏≰11120222))=NaN","reverse_text":"NaN=(⩷⨜⫀((⫏≰11011102∪⫐⫏≰12122221)⨱∎))%(-(⫏≰101222120⨟⋌⩍⫏≰12201112)⩁⩘(⨮↦↱⫏≰11120222))","cot":[{"info":"⫏≰11011102∪⫐⫏≰12122221=⫏≰11011102","layer":3},{"info":"⫏≰11011102⨱∎=⫏≰0","layer":2},{"info":"⩷⨜⫀⫏≰0=⫏≰-1001101","layer":1},{"info":"⫏≰101222120⨟⋌⩍⫏≰12201112=NaN","layer":3},{"info":"⨮↦↱⫏≰11120222=⫏≰-1201000012101020","layer":3},{"info":"NaN⩁⩘⫏≰-1201000012101020=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫏≰-1001101%NaN=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"(⩏⊷≩$8405$)⨸($1925$⨟⋌⩍$6035$)⪔(⫵↿$3686$≠≀$1550$)⪨≂(($1637$⋓$2231$)⊕∕(⊤⊝$3302$))⇡⇂($1174$⨿$1390$⩣⫁∢($5133$⇟⨁⪰))","expression":"(⩏⊷≩⫏≰102112022)⨸(⫏≰2122022⨟⋌⩍⫏≰22021112)⪔(⫵↿⫏≰12001112≠≀⫏≰2010102)⪨≂((⫏≰2020122⋓⫏≰10001122)⊕∕(⊤⊝⫏≰11112022))⇡⇂(⫏≰1121111⨿⫏≰1220111⩣⫁∢(⫏≰21001010⇟⨁⪰))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":26620,"operation_count":14,"complexity_ratio":1901.4285714285713,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":8405,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1925,"base":3},"right_expr":{"type":"numeric_atoms","value":6035,"base":3}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3686,"base":3},"right_expr":{"type":"numeric_atoms","value":1550,"base":3}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1637,"base":3},"right_expr":{"type":"numeric_atoms","value":2231,"base":3}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":3302,"base":3}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1174,"base":3},"right_expr":{"type":"numeric_atoms","value":1390,"base":3}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":5133,"base":3}}}}},"used_operators":["sdazOOVcIp","GjBEYRfMaF","KmoU8R5UQR","uOZ1tnYMDE","rGHVDoGpnC","ivGwdmUAux","IwW236VD4Y","UMwdvZNt44","9cloC0Ngie","T2fj7uvVaJ","rXAclfmB4M","JDUIKTTSIa","abYXlopdE0","BX1lVwlMe0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","23Mk6UjR3U","12rbrZMWeM","Tcnh7f0tEr","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","2DDjHMKMc0","xUOZtlo3hN"],"result":"⫏≰-211020102111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8405","layer":4},{"info":"compute unary expreesion, input=8405, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=16509","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=6035","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=6035, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16509, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=33018","layer":2},{"info":"number node, value=3686","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=1550, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7066","layer":3},{"info":"compute unary expreesion, input=-7066, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=33018, right_input=137, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=1637","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=2231, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=3302","layer":4},{"info":"compute unary expreesion, input=3302, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=5306","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5306, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":2},{"info":"number node, value=1174","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1390, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=5133","layer":4},{"info":"compute unary expreesion, input=5133, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-5307","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-5307, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=1841","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1841, 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=219356","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=219356, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-437710","layer":0}],"base":3,"result_base":3,"text":"(⩏⊷≩⫏≰102112022)⨸(⫏≰2122022⨟⋌⩍⫏≰22021112)⪔(⫵↿⫏≰12001112≠≀⫏≰2010102)⪨≂((⫏≰2020122⋓⫏≰10001122)⊕∕(⊤⊝⫏≰11112022))⇡⇂(⫏≰1121111⨿⫏≰1220111⩣⫁∢(⫏≰21001010⇟⨁⪰))=⫏≰-211020102111","reverse_text":"⫏≰-211020102111=(⩏⊷≩⫏≰102112022)⨸(⫏≰2122022⨟⋌⩍⫏≰22021112)⪔(⫵↿⫏≰12001112≠≀⫏≰2010102)⪨≂((⫏≰2020122⋓⫏≰10001122)⊕∕(⊤⊝⫏≰11112022))⇡⇂(⫏≰1121111⨿⫏≰1220111⩣⫁∢(⫏≰21001010⇟⨁⪰))","cot":[{"info":"⩏⊷≩⫏≰102112022=⫏≰211122110","layer":3},{"info":"⫏≰2122022⨟⋌⩍⫏≰22021112=NaN","layer":3},{"info":"⫏≰211122110⨸NaN=⫏≰1200021220","layer":2},{"info":"⫏≰12001112≠≀⫏≰2010102=⫏≰-100200201","layer":3},{"info":"⫵↿⫏≰-100200201=⫏≰12002","layer":2},{"info":"⫏≰1200021220⪔⫏≰12002=⫏≰121200","layer":1},{"info":"⫏≰2020122⋓⫏≰10001122=⫏≰0","layer":3},{"info":"⊤⊝⫏≰11112022=⫏≰21021112","layer":3},{"info":"⫏≰0⊕∕⫏≰21021112=⫏≰0","layer":2},{"info":"⫏≰1121111⨿⫏≰1220111=⫏≰-102211","layer":3},{"info":"⫏≰21001010⇟⨁⪰=⫏≰-21021120","layer":3},{"info":"⫏≰-102211⩣⫁∢⫏≰-21021120=⫏≰2112012","layer":2},{"info":"⫏≰0⇡⇂⫏≰2112012=⫏≰102010220022","layer":1},{"info":"⫏≰121200⪨≂⫏≰102010220022=⫏≰-211020102111","layer":0}]}
{"id":81,"expression_no_base_symbol":"(⨛($3746$⋻⩜⩜$7228$)⩣⫁∢(↥≼⋛$4217$))∙⊟(($2041$⩵∡$7658$)∥⊢⊲($6286$⋭≵$3883$))⊕∕((⩦⩻⨪$7124$)≃$1997$⨔⇊$5222$)","expression":"(⨛(⫏≰12010202⋻⩜⩜⫏≰100220201)⩣⫁∢(↥≼⋛⫏≰12210012))∙⊟((⫏≰2210121⩵∡⫏≰101111122)∥⊢⊲(⫏≰22121211⋭≵⫏≰12022211))⊕∕((⩦⩻⨪⫏≰100202212)≃⫏≰2201222⨔⇊⫏≰21011102)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":104483,"operation_count":12,"complexity_ratio":8706.916666666666,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3746,"base":3},"right_expr":{"type":"numeric_atoms","value":7228,"base":3}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":4217,"base":3}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2041,"base":3},"right_expr":{"type":"numeric_atoms","value":7658,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6286,"base":3},"right_expr":{"type":"numeric_atoms","value":3883,"base":3}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7124,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1997,"base":3},"right_expr":{"type":"numeric_atoms","value":5222,"base":3}}}}},"used_operators":["SxTAKzQCrw","CoMdbyAt7R","JDUIKTTSIa","oDCm7WA9JY","x5lMkHmzsq","9cloC0Ngie","v1UQAVDJRr","Y7wcNGrDQJ","jBncVCNhdl","YbVcJGFEVW","2td37pGCOC","JclMnS0uGI"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","glklzrTFfD","tifHPKVTfV","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⫏≰1010120101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3746","layer":4},{"info":"number node, value=7228","layer":4},{"info":"compute binary expreesion, left_input=3746, right_input=7228, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7492","layer":3},{"info":"number node, value=4217","layer":4},{"info":"compute unary expreesion, input=4217, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=7492, right_input=-113, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-14823","layer":2},{"info":"compute unary expreesion, input=-14823, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":1},{"info":"number node, value=2041","layer":4},{"info":"number node, value=7658","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=7658, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3455","layer":3},{"info":"number node, value=6286","layer":4},{"info":"number node, value=3883","layer":4},{"info":"compute binary expreesion, left_input=6286, right_input=3883, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=3455, right_input=67, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"number node, value=7124","layer":4},{"info":"compute unary expreesion, input=7124, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7124","layer":3},{"info":"number node, value=1997","layer":4},{"info":"number node, value=5222","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=5222, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5222","layer":3},{"info":"compute binary expreesion, left_input=7124, right_input=5222, 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=-28536","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-28536, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":0}],"base":3,"result_base":3,"text":"(⨛(⫏≰12010202⋻⩜⩜⫏≰100220201)⩣⫁∢(↥≼⋛⫏≰12210012))∙⊟((⫏≰2210121⩵∡⫏≰101111122)∥⊢⊲(⫏≰22121211⋭≵⫏≰12022211))⊕∕((⩦⩻⨪⫏≰100202212)≃⫏≰2201222⨔⇊⫏≰21011102)=⫏≰1010120101","reverse_text":"⫏≰1010120101=(⨛(⫏≰12010202⋻⩜⩜⫏≰100220201)⩣⫁∢(↥≼⋛⫏≰12210012))∙⊟((⫏≰2210121⩵∡⫏≰101111122)∥⊢⊲(⫏≰22121211⋭≵⫏≰12022211))⊕∕((⩦⩻⨪⫏≰100202212)≃⫏≰2201222⨔⇊⫏≰21011102)","cot":[{"info":"⫏≰12010202⋻⩜⩜⫏≰100220201=⫏≰101021111","layer":3},{"info":"↥≼⋛⫏≰12210012=⫏≰-11012","layer":3},{"info":"⫏≰101021111⩣⫁∢⫏≰-11012=⫏≰-202100000","layer":2},{"info":"⨛⫏≰-202100000=⫏≰0","layer":1},{"info":"⫏≰2210121⩵∡⫏≰101111122=⫏≰11201222","layer":3},{"info":"⫏≰22121211⋭≵⫏≰12022211=⫏≰2111","layer":3},{"info":"⫏≰11201222∥⊢⊲⫏≰2111=⫏≰0","layer":2},{"info":"⩦⩻⨪⫏≰100202212=⫏≰100202212","layer":3},{"info":"⫏≰2201222⨔⇊⫏≰21011102=⫏≰21011102","layer":3},{"info":"⫏≰100202212≃⫏≰21011102=⫏≰-1110010220","layer":2},{"info":"⫏≰0⊕∕⫏≰-1110010220=⫏≰0","layer":1},{"info":"⫏≰0∙⊟⫏≰0=⫏≰1010120101","layer":0}]}
{"id":82,"expression_no_base_symbol":"⋣((($2086$∣$7739$)∀⊥⇻)≥⨤⩑(≤/$4615$⪔⊥$6762$))","expression":"⋣(((⫏≰2212021∣⫏≰101121122)∀⊥⇻)≥⨤⩑(≤/⫏≰20022221⪔⊥⫏≰100021110))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":59650,"operation_count":6,"complexity_ratio":9941.666666666666,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2086,"base":3},"right_expr":{"type":"numeric_atoms","value":7739,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4615,"base":3},"right_expr":{"type":"numeric_atoms","value":6762,"base":3}}}}},"used_operators":["zQWRhDnn8F","gJLn6v0xnP","k4iM1060OG","PPChnnnBFF","eLAdDNolq6","HJ9erzHUuu"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⫏≰10112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2086","layer":4},{"info":"number node, value=7739","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=7739, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2086","layer":3},{"info":"compute unary expreesion, input=2086, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"number node, value=4615","layer":4},{"info":"number node, value=6762","layer":4},{"info":"compute binary expreesion, left_input=4615, right_input=6762, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=4737","layer":3},{"info":"compute unary expreesion, input=4737, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4253","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4253, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=95","layer":0}],"base":3,"result_base":3,"text":"⋣(((⫏≰2212021∣⫏≰101121122)∀⊥⇻)≥⨤⩑(≤/⫏≰20022221⪔⊥⫏≰100021110))=⫏≰10112","reverse_text":"⫏≰10112=⋣(((⫏≰2212021∣⫏≰101121122)∀⊥⇻)≥⨤⩑(≤/⫏≰20022221⪔⊥⫏≰100021110))","cot":[{"info":"⫏≰2212021∣⫏≰101121122=⫏≰2212021","layer":3},{"info":"⫏≰2212021∀⊥⇻=⫏≰0","layer":2},{"info":"⫏≰20022221⪔⊥⫏≰100021110=⫏≰20111110","layer":3},{"info":"≤/⫏≰20111110=⫏≰-12211112","layer":2},{"info":"⫏≰0≥⨤⩑⫏≰-12211112=⫏≰0","layer":1},{"info":"⋣⫏≰0=⫏≰10112","layer":0}]}
{"id":83,"expression_no_base_symbol":"(≉($5038$∛≔)⨐⩸⫘$2257$≀⫉$2912$)↦","expression":"(≉(⫏≰20220121∛≔)⨐⩸⫘⫏≰10002121≀⫉⫏≰10222212)↦","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":41885,"operation_count":5,"complexity_ratio":8377.0,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":5038,"base":3}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2257,"base":3},"right_expr":{"type":"numeric_atoms","value":2912,"base":3}}}}},"used_operators":["fFznvYxMfW","e1ybzncUwg","fu6greOZ01","mGnSCrte3L","oZj3VtZNQx"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5038","layer":4},{"info":"compute unary expreesion, input=5038, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"number node, value=2257","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=2912, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-inf, right_input=2822, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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":0}],"base":3,"result_base":3,"text":"(≉(⫏≰20220121∛≔)⨐⩸⫘⫏≰10002121≀⫉⫏≰10222212)↦=NaN","reverse_text":"NaN=(≉(⫏≰20220121∛≔)⨐⩸⫘⫏≰10002121≀⫉⫏≰10222212)↦","cot":[{"info":"⫏≰20220121∛≔=-Inf","layer":3},{"info":"⫏≰10002121≀⫉⫏≰10222212=⫏≰10212112","layer":3},{"info":"-Inf⨐⩸⫘⫏≰10212112=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN↦=NaN","layer":0}]}
{"id":84,"expression_no_base_symbol":"($7187$⇻⋧≁$1552$⇮⋭$2273$↤⩊$4011$)⪚(($1612$∼$6321$)⪗)≨((⫟($5001$⫏⊷))⩹($1877$⫯⪬∳$1680$⪁$1329$⊴$2255$))","expression":"(⫏≰100212012⇻⋧≁⫏≰2010111⇮⋭⫏≰10010012↤⩊⫏≰12111120)⪚((⫏≰2012201∼⫏≰22200010)⪗)≨((⫟(⫏≰20212020⫏⊷))⩹(⫏≰2120112⫯⪬∳⫏≰2022020⪁⫏≰1211020⊴⫏≰10002112))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32807,"operation_count":13,"complexity_ratio":2523.6153846153848,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":7187,"base":3},"right_expr":{"type":"numeric_atoms","value":1552,"base":3}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2273,"base":3},"right_expr":{"type":"numeric_atoms","value":4011,"base":3}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1612,"base":3},"right_expr":{"type":"numeric_atoms","value":6321,"base":3}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":5001,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1877,"base":3},"right_expr":{"type":"numeric_atoms","value":1680,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1329,"base":3},"right_expr":{"type":"numeric_atoms","value":2255,"base":3}}}}},"used_operators":["0KMCeP1Jsh","HrjLwUk87U","vkpjKywKVM","jCPkEVoL5K","13rbtpv6ld","VEQNXA0ZBg","DyGG3AbaNP","2Wsdkap16l","z4E1FaHLuy","dcShxvzhyw","I7sXao9hZE","d7ASUq0ydm","Nsiff2A1zJ"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7187","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=7187, right_input=1552, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=4011, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=1612","layer":4},{"info":"number node, value=6321","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=6321, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=5001","layer":4},{"info":"compute unary expreesion, input=5001, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute unary expreesion, input=-820, 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=582","layer":2},{"info":"number node, value=1877","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=1680, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7738","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=2255, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7738, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=582, right_input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100212012⇻⋧≁⫏≰2010111⇮⋭⫏≰10010012↤⩊⫏≰12111120)⪚((⫏≰2012201∼⫏≰22200010)⪗)≨((⫟(⫏≰20212020⫏⊷))⩹(⫏≰2120112⫯⪬∳⫏≰2022020⪁⫏≰1211020⊴⫏≰10002112))=NaN","reverse_text":"NaN=(⫏≰100212012⇻⋧≁⫏≰2010111⇮⋭⫏≰10010012↤⩊⫏≰12111120)⪚((⫏≰2012201∼⫏≰22200010)⪗)≨((⫟(⫏≰20212020⫏⊷))⩹(⫏≰2120112⫯⪬∳⫏≰2022020⪁⫏≰1211020⊴⫏≰10002112))","cot":[{"info":"⫏≰100212012⇻⋧≁⫏≰2010111=⫏≰-121120","layer":3},{"info":"⫏≰10010012↤⩊⫏≰12111120=NaN","layer":3},{"info":"⫏≰-121120⇮⋭NaN=⫏≰2111","layer":2},{"info":"⫏≰2012201∼⫏≰22200010=NaN","layer":3},{"info":"NaN⪗=NaN","layer":2},{"info":"⫏≰2111⪚NaN=NaN","layer":1},{"info":"⫏≰20212020⫏⊷=⫏≰-1010101","layer":3},{"info":"⫟⫏≰-1010101=⫏≰210120","layer":2},{"info":"⫏≰2120112⫯⪬∳⫏≰2022020=⫏≰101121121","layer":3},{"info":"⫏≰1211020⊴⫏≰10002112=NaN","layer":3},{"info":"⫏≰101121121⪁NaN=NaN","layer":2},{"info":"⫏≰210120⩹NaN=NaN","layer":1},{"info":"NaN≨NaN=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"(($3796$+⇶⊼$4526$)⫁⪎(⨆≐≲$2448$)⫔⩽⩺($5698$⪛$1066$)↳≱($6028$-$1650$))⪬(⪓⩚($4796$⇡⇂$2926$∝($6647$⪒$1486$)))","expression":"((⫏≰12012121+⇶⊼⫏≰20012122)⫁⪎(⨆≐≲⫏≰10100200)⫔⩽⩺(⫏≰21211001⪛⫏≰1110111)↳≱(⫏≰22021021-⫏≰2021010))⪬(⪓⩚(⫏≰20120122⇡⇂⫏≰11000101∝(⫏≰100010012⪒⫏≰2001001)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18811,"operation_count":12,"complexity_ratio":1567.5833333333333,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3796,"base":3},"right_expr":{"type":"numeric_atoms","value":4526,"base":3}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2448,"base":3}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5698,"base":3},"right_expr":{"type":"numeric_atoms","value":1066,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6028,"base":3},"right_expr":{"type":"numeric_atoms","value":1650,"base":3}}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4796,"base":3},"right_expr":{"type":"numeric_atoms","value":2926,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6647,"base":3},"right_expr":{"type":"numeric_atoms","value":1486,"base":3}}}}},"used_operators":["Ez1Nq5fNfI","i9eR4S00cU","xRrnTEsQ6j","TpPTUOHfaN","Bi9z9uYZqW","JwTKLfZU96","uFcxV4UQCh","rysDP5nf3Z","u0R0Locfp2","cTDWOvIxvz","UMwdvZNt44","f6k1SAg4EE"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AHs5Up7iyr","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3796","layer":4},{"info":"number node, value=4526","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=4526, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2448","layer":4},{"info":"compute unary expreesion, input=2448, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=26457432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=26457432, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"number node, value=5698","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=5698, right_input=1066, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=368","layer":3},{"info":"number node, value=6028","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=6028, right_input=1650, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4378","layer":3},{"info":"compute binary expreesion, left_input=368, right_input=4378, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=4796","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=2926, op_id = 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":3},{"info":"number node, value=6647","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=6647, right_input=1486, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8133","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8133, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=426, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12012121+⇶⊼⫏≰20012122)⫁⪎(⨆≐≲⫏≰10100200)⫔⩽⩺(⫏≰21211001⪛⫏≰1110111)↳≱(⫏≰22021021-⫏≰2021010))⪬(⪓⩚(⫏≰20120122⇡⇂⫏≰11000101∝(⫏≰100010012⪒⫏≰2001001)))=⫏≰1200201","reverse_text":"⫏≰1200201=((⫏≰12012121+⇶⊼⫏≰20012122)⫁⪎(⨆≐≲⫏≰10100200)⫔⩽⩺(⫏≰21211001⪛⫏≰1110111)↳≱(⫏≰22021021-⫏≰2021010))⪬(⪓⩚(⫏≰20120122⇡⇂⫏≰11000101∝(⫏≰100010012⪒⫏≰2001001)))","cot":[{"info":"⫏≰12012121+⇶⊼⫏≰20012122=NaN","layer":3},{"info":"⨆≐≲⫏≰10100200=⫏≰1211210011202220","layer":3},{"info":"NaN⫁⪎⫏≰1211210011202220=NaN","layer":2},{"info":"⫏≰21211001⪛⫏≰1110111=⫏≰111122","layer":3},{"info":"⫏≰22021021-⫏≰2021010=⫏≰20000011","layer":3},{"info":"⫏≰111122↳≱⫏≰20000011=⫏≰0","layer":2},{"info":"NaN⫔⩽⩺⫏≰0=NaN","layer":1},{"info":"⫏≰20120122⇡⇂⫏≰11000101=NaN","layer":3},{"info":"⫏≰100010012⪒⫏≰2001001=⫏≰-102011020","layer":3},{"info":"NaN∝⫏≰-102011020=NaN","layer":2},{"info":"⪓⩚NaN=⫏≰120210","layer":1},{"info":"NaN⪬⫏≰120210=⫏≰1200201","layer":0}]}
{"id":86,"expression_no_base_symbol":"⪭⩑⪱(($1290$⋻⩜⩜$5247$)⪭≯$2310$⊬⨰$8823$)⨚(⨰⫟⨤($1649$⋓$5657$))","expression":"⪭⩑⪱((⫏≰1202210⋻⩜⩜⫏≰21012100)⪭≯⫏≰10011120⊬⨰⫏≰110002210)⨚(⨰⫟⨤(⫏≰2021002⋓⫏≰21202112))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":74937,"operation_count":7,"complexity_ratio":10705.285714285714,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1290,"base":3},"right_expr":{"type":"numeric_atoms","value":5247,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2310,"base":3},"right_expr":{"type":"numeric_atoms","value":8823,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1649,"base":3},"right_expr":{"type":"numeric_atoms","value":5657,"base":3}}}}},"used_operators":["SIgE0bArFf","nREPSIbpBE","XAx5wpdLa6","oDCm7WA9JY","s3Fd5m9Dh2","Tw270M8GLb","T2fj7uvVaJ"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","BjRHVeLaeN","12rbrZMWeM","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫏≰120122201221000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":4},{"info":"number node, value=5247","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=5247, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2580","layer":3},{"info":"number node, value=2310","layer":4},{"info":"number node, value=8823","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=8823, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=36546","layer":3},{"info":"compute binary expreesion, left_input=2580, right_input=36546, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1649","layer":4},{"info":"number node, value=5657","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=5657, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4492662, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":3,"result_base":3,"text":"⪭⩑⪱((⫏≰1202210⋻⩜⩜⫏≰21012100)⪭≯⫏≰10011120⊬⨰⫏≰110002210)⨚(⨰⫟⨤(⫏≰2021002⋓⫏≰21202112))=⫏≰120122201221000","reverse_text":"⫏≰120122201221000=⪭⩑⪱((⫏≰1202210⋻⩜⩜⫏≰21012100)⪭≯⫏≰10011120⊬⨰⫏≰110002210)⨚(⨰⫟⨤(⫏≰2021002⋓⫏≰21202112))","cot":[{"info":"⫏≰1202210⋻⩜⩜⫏≰21012100=⫏≰10112120","layer":3},{"info":"⫏≰10011120⊬⨰⫏≰110002210=⫏≰1212010120","layer":3},{"info":"⫏≰10112120⪭≯⫏≰1212010120=NaN","layer":2},{"info":"⫏≰2021002⋓⫏≰21202112=⫏≰0","layer":3},{"info":"⨰⫟⨤⫏≰0=⫏≰22110020202220","layer":2},{"info":"NaN⨚⫏≰22110020202220=NaN","layer":1},{"info":"⪭⩑⪱NaN=⫏≰120122201221000","layer":0}]}
{"id":87,"expression_no_base_symbol":"(($1983$∇⊂⋱$6101$)⊢($1384$⊦⊿))∥⊢⊲($3286$≝⊿$1813$⋅⇍$2263$⨓$2863$)⇄($5243$⩖⊿$1969$)⨸($7516$+⇶⊼$4296$)∌(∐⩳⋚($1162$⩇∃⫛$3475$))","expression":"((⫏≰2201110∇⊂⋱⫏≰22100222)⊢(⫏≰1220021⊦⊿))∥⊢⊲(⫏≰11111201≝⊿⫏≰2111011⋅⇍⫏≰10002211⨓⫏≰10221001)⇄(⫏≰21012012⩖⊿⫏≰2200221)⨸(⫏≰101022101+⇶⊼⫏≰12220010)∌(∐⩳⋚(⫏≰1121001⩇∃⫛⫏≰11202201))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8565,"operation_count":14,"complexity_ratio":611.7857142857143,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1983,"base":3},"right_expr":{"type":"numeric_atoms","value":6101,"base":3}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1384,"base":3}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3286,"base":3},"right_expr":{"type":"numeric_atoms","value":1813,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2263,"base":3},"right_expr":{"type":"numeric_atoms","value":2863,"base":3}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5243,"base":3},"right_expr":{"type":"numeric_atoms","value":1969,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7516,"base":3},"right_expr":{"type":"numeric_atoms","value":4296,"base":3}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1162,"base":3},"right_expr":{"type":"numeric_atoms","value":3475,"base":3}}}}},"used_operators":["3EYGwJThht","v1UQAVDJRr","5twsqlHp2o","nhYeJWJD5X","14qkJME0vr","AdZkA7nFnk","OKKcZfAt5B","3ViojmjbAp","8cLx32lpNA","KmoU8R5UQR","RZ5CV9rWsJ","TpPTUOHfaN","SL6IHkK8vl","1aApVXNlOP"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","AHs5Up7iyr","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1983","layer":4},{"info":"number node, value=6101","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=6101, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3420","layer":3},{"info":"number node, value=1384","layer":4},{"info":"compute unary expreesion, input=1384, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4231","layer":3},{"info":"compute binary expreesion, left_input=3420, right_input=-4231, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7084","layer":2},{"info":"number node, value=3286","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=1813, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7445","layer":3},{"info":"number node, value=2263","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=2863, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2866","layer":3},{"info":"compute binary expreesion, left_input=-7445, right_input=-2866, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=6872","layer":2},{"info":"compute binary expreesion, left_input=-7084, right_input=6872, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=6872","layer":1},{"info":"number node, value=5243","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=5243, right_input=1969, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-5302","layer":3},{"info":"number node, value=7516","layer":4},{"info":"number node, value=4296","layer":4},{"info":"compute binary expreesion, left_input=7516, right_input=4296, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5302, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=1162","layer":4},{"info":"number node, value=3475","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=3475, 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=2786","layer":3},{"info":"compute unary expreesion, input=2786, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=402303","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=402303, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-402303","layer":1},{"info":"compute binary expreesion, left_input=6872, right_input=-402303, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2201110∇⊂⋱⫏≰22100222)⊢(⫏≰1220021⊦⊿))∥⊢⊲(⫏≰11111201≝⊿⫏≰2111011⋅⇍⫏≰10002211⨓⫏≰10221001)⇄(⫏≰21012012⩖⊿⫏≰2200221)⨸(⫏≰101022101+⇶⊼⫏≰12220010)∌(∐⩳⋚(⫏≰1121001⩇∃⫛⫏≰11202201))=⫏≰0","reverse_text":"⫏≰0=((⫏≰2201110∇⊂⋱⫏≰22100222)⊢(⫏≰1220021⊦⊿))∥⊢⊲(⫏≰11111201≝⊿⫏≰2111011⋅⇍⫏≰10002211⨓⫏≰10221001)⇄(⫏≰21012012⩖⊿⫏≰2200221)⨸(⫏≰101022101+⇶⊼⫏≰12220010)∌(∐⩳⋚(⫏≰1121001⩇∃⫛⫏≰11202201))","cot":[{"info":"⫏≰2201110∇⊂⋱⫏≰22100222=⫏≰11200200","layer":3},{"info":"⫏≰1220021⊦⊿=⫏≰-12210201","layer":3},{"info":"⫏≰11200200⊢⫏≰-12210201=⫏≰-100201101","layer":2},{"info":"⫏≰11111201≝⊿⫏≰2111011=⫏≰-101012202","layer":3},{"info":"⫏≰10002211⨓⫏≰10221001=⫏≰-10221011","layer":3},{"info":"⫏≰-101012202⋅⇍⫏≰-10221011=⫏≰100102112","layer":2},{"info":"⫏≰-100201101∥⊢⊲⫏≰100102112=⫏≰100102112","layer":1},{"info":"⫏≰21012012⩖⊿⫏≰2200221=⫏≰-21021101","layer":3},{"info":"⫏≰101022101+⇶⊼⫏≰12220010=NaN","layer":3},{"info":"⫏≰-21021101⨸NaN=NaN","layer":2},{"info":"⫏≰1121001⩇∃⫛⫏≰11202201=⫏≰10211012","layer":3},{"info":"∐⩳⋚⫏≰10211012=⫏≰202102212010","layer":2},{"info":"NaN∌⫏≰202102212010=⫏≰-202102212010","layer":1},{"info":"⫏≰100102112⇄⫏≰-202102212010=⫏≰0","layer":0}]}
{"id":88,"expression_no_base_symbol":"(($1028$⇀∌)⪥⨬⪅)↞⋁(⊁⨺($7986$⪔$3660$))∸","expression":"((⫏≰1102002⇀∌)⪥⨬⪅)↞⋁(⊁⨺(⫏≰101221210⪔⫏≰12000120))∸","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4708,"operation_count":6,"complexity_ratio":784.6666666666666,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":1028,"base":3}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":7986,"base":3},"right_expr":{"type":"numeric_atoms","value":3660,"base":3}}}}},"used_operators":["o20kRiQErp","RqrPlJkxDo","zNRQejTB5A","2k53nXOpI5","PxiHyQbrIp","GjBEYRfMaF"],"dependent_operators":["tmPS8pqC7x","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-173","layer":2},{"info":"number node, value=7986","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=7986, right_input=3660, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, 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":2},{"info":"compute binary expreesion, left_input=-173, right_input=160, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1102002⇀∌)⪥⨬⪅)↞⋁(⊁⨺(⫏≰101221210⪔⫏≰12000120))∸=⫏≰20120","reverse_text":"⫏≰20120=((⫏≰1102002⇀∌)⪥⨬⪅)↞⋁(⊁⨺(⫏≰101221210⪔⫏≰12000120))∸","cot":[{"info":"⫏≰1102002⇀∌=⫏≰11012","layer":3},{"info":"⫏≰11012⪥⨬⪅=⫏≰-20102","layer":2},{"info":"⫏≰101221210⪔⫏≰12000120=⫏≰121200","layer":3},{"info":"⊁⨺⫏≰121200=⫏≰12221","layer":2},{"info":"⫏≰-20102↞⋁⫏≰12221=NaN","layer":1},{"info":"NaN∸=⫏≰20120","layer":0}]}
{"id":89,"expression_no_base_symbol":"⫡⇟⇯($1140$⫌⩉⩟$1724$)⩖⊿($7779$⩣⫁∢$2911$)⪛((≪$5451$)≥⨤⩑($2634$∽$1354$))","expression":"⫡⇟⇯(⫏≰1120020⫌⩉⩟⫏≰2100212)⩖⊿(⫏≰101200010⩣⫁∢⫏≰10222211)⪛((≪⫏≰21110220)≥⨤⩑(⫏≰10121120∽⫏≰1212011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":247459,"operation_count":8,"complexity_ratio":30932.375,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1140,"base":3},"right_expr":{"type":"numeric_atoms","value":1724,"base":3}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":7779,"base":3},"right_expr":{"type":"numeric_atoms","value":2911,"base":3}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":5451,"base":3}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2634,"base":3},"right_expr":{"type":"numeric_atoms","value":1354,"base":3}}}}},"used_operators":["qWUSsah53b","uFcxV4UQCh","RZ5CV9rWsJ","XIIwhv8d0m","JDUIKTTSIa","gJLn6v0xnP","Qtd6bqUJcN","y4ImoPnbV5"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","NTOWxs364D","QMFrweE19q"],"result":"⫏≰12202120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1140","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1724, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=7779","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=7779, right_input=2911, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-15397","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-15397, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=32708","layer":2},{"info":"number node, value=5451","layer":4},{"info":"compute unary expreesion, input=5451, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=2634","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=2634, right_input=1354, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17054","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-17054, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1826","layer":2},{"info":"compute binary expreesion, left_input=32708, right_input=1826, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1666","layer":1},{"info":"compute unary expreesion, input=1666, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4200","layer":0}],"base":3,"result_base":3,"text":"⫡⇟⇯(⫏≰1120020⫌⩉⩟⫏≰2100212)⩖⊿(⫏≰101200010⩣⫁∢⫏≰10222211)⪛((≪⫏≰21110220)≥⨤⩑(⫏≰10121120∽⫏≰1212011))=⫏≰12202120","reverse_text":"⫏≰12202120=⫡⇟⇯(⫏≰1120020⫌⩉⩟⫏≰2100212)⩖⊿(⫏≰101200010⩣⫁∢⫏≰10222211)⪛((≪⫏≰21110220)≥⨤⩑(⫏≰10121120∽⫏≰1212011))","cot":[{"info":"⫏≰1120020⫌⩉⩟⫏≰2100212=⫏≰-1212","layer":3},{"info":"⫏≰101200010⩣⫁∢⫏≰10222211=⫏≰-210010021","layer":3},{"info":"⫏≰-1212⩖⊿⫏≰-210010021=⫏≰1122212102","layer":2},{"info":"≪⫏≰21110220=⫏≰1020211","layer":3},{"info":"⫏≰10121120∽⫏≰1212011=⫏≰-212101122","layer":3},{"info":"⫏≰1020211≥⨤⩑⫏≰-212101122=⫏≰2111122","layer":2},{"info":"⫏≰1122212102⪛⫏≰2111122=⫏≰2021201","layer":1},{"info":"⫡⇟⇯⫏≰2021201=⫏≰12202120","layer":0}]}
{"id":90,"expression_no_base_symbol":"(($3692$∲⫓$1451$)⋛$6006$≦↸$1583$)⩖⊿($1457$⋹⋡⊁$3690$⨰$5117$↳≱$2375$)⪒(($4427$↫)⊹≧⊝)⨔≚≋($7528$⋕⪉⪜$1149$⪷)","expression":"((⫏≰12001202∲⫓⫏≰1222202)⋛⫏≰22020110≦↸⫏≰2011122)⩖⊿(⫏≰1222222⋹⋡⊁⫏≰12001200⨰⫏≰21000112↳≱⫏≰10020222)⪒((⫏≰20001222↫)⊹≧⊝)⨔≚≋(⫏≰101022211⋕⪉⪜⫏≰1120120⪷)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":65619,"operation_count":13,"complexity_ratio":5047.615384615385,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3692,"base":3},"right_expr":{"type":"numeric_atoms","value":1451,"base":3}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":6006,"base":3},"right_expr":{"type":"numeric_atoms","value":1583,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1457,"base":3},"right_expr":{"type":"numeric_atoms","value":3690,"base":3}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5117,"base":3},"right_expr":{"type":"numeric_atoms","value":2375,"base":3}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":4427,"base":3}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":7528,"base":3},"right_expr":{"type":"numeric_atoms","value":1149,"base":3}}}}},"used_operators":["f6k1SAg4EE","RZ5CV9rWsJ","YbUVn0Rbpy","i8ToyICDmI","RygbFNSyEJ","eewbuw0ToL","As8RqfVLgs","JwTKLfZU96","Z57zeUYC9z","LxFB4K6j0n","uPb5QRN0te","Qctrpi3WzA","z6LnFrNh4i"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","Nsiff2A1zJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3692","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=1451, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6006","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=6006, right_input=1583, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14497","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14497, 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=-42846","layer":2},{"info":"number node, value=1457","layer":4},{"info":"number node, value=3690","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=3690, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4440","layer":3},{"info":"number node, value=5117","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=5117, right_input=2375, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4440, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4450","layer":2},{"info":"compute binary expreesion, left_input=-42846, right_input=4450, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-6986","layer":1},{"info":"number node, value=4427","layer":4},{"info":"compute unary expreesion, input=4427, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-640","layer":2},{"info":"number node, value=7528","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=7528, right_input=1149, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-640, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6986, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12001202∲⫓⫏≰1222202)⋛⫏≰22020110≦↸⫏≰2011122)⩖⊿(⫏≰1222222⋹⋡⊁⫏≰12001200⨰⫏≰21000112↳≱⫏≰10020222)⪒((⫏≰20001222↫)⊹≧⊝)⨔≚≋(⫏≰101022211⋕⪉⪜⫏≰1120120⪷)=NaN","reverse_text":"NaN=((⫏≰12001202∲⫓⫏≰1222202)⋛⫏≰22020110≦↸⫏≰2011122)⩖⊿(⫏≰1222222⋹⋡⊁⫏≰12001200⨰⫏≰21000112↳≱⫏≰10020222)⪒((⫏≰20001222↫)⊹≧⊝)⨔≚≋(⫏≰101022211⋕⪉⪜⫏≰1120120⪷)","cot":[{"info":"⫏≰12001202∲⫓⫏≰1222202=⫏≰0","layer":3},{"info":"⫏≰22020110≦↸⫏≰2011122=⫏≰-201212221","layer":3},{"info":"⫏≰0⋛⫏≰-201212221=⫏≰-2011202220","layer":2},{"info":"⫏≰1222222⋹⋡⊁⫏≰12001200=⫏≰20002110","layer":3},{"info":"⫏≰21000112↳≱⫏≰10020222=⫏≰0","layer":3},{"info":"⫏≰20002110⨰⫏≰0=⫏≰20002211","layer":2},{"info":"⫏≰-2011202220⩖⊿⫏≰20002211=⫏≰-100120202","layer":1},{"info":"⫏≰20001222↫=⫏≰12221","layer":3},{"info":"⫏≰12221⊹≧⊝=⫏≰-212201","layer":2},{"info":"⫏≰101022211⋕⪉⪜⫏≰1120120=⫏≰10211210","layer":3},{"info":"⫏≰10211210⪷=NaN","layer":2},{"info":"⫏≰-212201⨔≚≋NaN=NaN","layer":1},{"info":"⫏≰-100120202⪒NaN=NaN","layer":0}]}
{"id":91,"expression_no_base_symbol":"($6577$≄⊠$2445$)⇻⋧≁($2294$⨸$3402$)⫞⩸⩒(∮($1652$⨼⩣$2077$))⩹(($1119$⩺⪪$7660$)⇉⇱⇎)≧⫂∧$1523$≨$3267$⇷$5626$∺≝⩲$3272$","expression":"(⫏≰100000121≄⊠⫏≰10100120)⇻⋧≁(⫏≰10010222⨸⫏≰11200000)⫞⩸⩒(∮(⫏≰2021012⨼⩣⫏≰2211221))⩹((⫏≰1112110⩺⪪⫏≰101111201)⇉⇱⇎)≧⫂∧⫏≰2002102≨⫏≰11111000⇷⫏≰21201101∺≝⩲⫏≰11111012","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":225492,"operation_count":13,"complexity_ratio":17345.53846153846,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6577,"base":3},"right_expr":{"type":"numeric_atoms","value":2445,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2294,"base":3},"right_expr":{"type":"numeric_atoms","value":3402,"base":3}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1652,"base":3},"right_expr":{"type":"numeric_atoms","value":2077,"base":3}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1119,"base":3},"right_expr":{"type":"numeric_atoms","value":7660,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1523,"base":3},"right_expr":{"type":"numeric_atoms","value":3267,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5626,"base":3},"right_expr":{"type":"numeric_atoms","value":3272,"base":3}}}}},"used_operators":["2Wsdkap16l","XGcMNugi78","jCPkEVoL5K","vXNesLlMH1","KmoU8R5UQR","CqXKPLVYql","JxwMv5le6e","Ph9nP6C5qx","MRPaB8lBjK","uvdQJvN4PV","mp7IySMOzn","0KMCeP1Jsh","KPf6cnQVty"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫏≰-12202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6577","layer":4},{"info":"number node, value=2445","layer":4},{"info":"compute binary expreesion, left_input=6577, right_input=2445, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=43788","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=3402, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4588","layer":3},{"info":"compute binary expreesion, left_input=43788, right_input=4588, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=1652","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=2077, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-447","layer":1},{"info":"number node, value=1119","layer":4},{"info":"number node, value=7660","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=7660, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute unary expreesion, input=-1818, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":2},{"info":"number node, value=1523","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=3267, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12754","layer":3},{"info":"number node, value=5626","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=5626, right_input=3272, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-12754, right_input=160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=320, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-153","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-153, 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=-155","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100000121≄⊠⫏≰10100120)⇻⋧≁(⫏≰10010222⨸⫏≰11200000)⫞⩸⩒(∮(⫏≰2021012⨼⩣⫏≰2211221))⩹((⫏≰1112110⩺⪪⫏≰101111201)⇉⇱⇎)≧⫂∧⫏≰2002102≨⫏≰11111000⇷⫏≰21201101∺≝⩲⫏≰11111012=⫏≰-12202","reverse_text":"⫏≰-12202=(⫏≰100000121≄⊠⫏≰10100120)⇻⋧≁(⫏≰10010222⨸⫏≰11200000)⫞⩸⩒(∮(⫏≰2021012⨼⩣⫏≰2211221))⩹((⫏≰1112110⩺⪪⫏≰101111201)⇉⇱⇎)≧⫂∧⫏≰2002102≨⫏≰11111000⇷⫏≰21201101∺≝⩲⫏≰11111012","cot":[{"info":"⫏≰100000121≄⊠⫏≰10100120=⫏≰2020001210","layer":3},{"info":"⫏≰10010222⨸⫏≰11200000=⫏≰20021221","layer":3},{"info":"⫏≰2020001210⇻⋧≁⫏≰20021221=⫏≰-121120","layer":2},{"info":"⫏≰2021012⨼⩣⫏≰2211221=NaN","layer":3},{"info":"∮NaN=NaN","layer":2},{"info":"⫏≰-121120⫞⩸⩒NaN=⫏≰-121120","layer":1},{"info":"⫏≰1112110⩺⪪⫏≰101111201=⫏≰-2111100","layer":3},{"info":"⫏≰-2111100⇉⇱⇎=⫏≰22002","layer":2},{"info":"⫏≰2002102≨⫏≰11111000=⫏≰-122111101","layer":3},{"info":"⫏≰21201101∺≝⩲⫏≰11111012=⫏≰12221","layer":3},{"info":"⫏≰-122111101⇷⫏≰12221=⫏≰102212","layer":2},{"info":"⫏≰22002≧⫂∧⫏≰102212=⫏≰-12200","layer":1},{"info":"⫏≰-121120⩹⫏≰-12200=⫏≰-12202","layer":0}]}
{"id":92,"expression_no_base_symbol":"(($1279$↞⋁$4610$⩹$1011$⫁⪎$1683$)⫏⊷)⫲≸⪮($1736$↫)⨂≜($1271$∺≝⩲$3297$)∀⇚≩($3163$⫁⪎$6214$)⫞⩸⩒($1311$⨎$4347$)","expression":"((⫏≰1202101↞⋁⫏≰20022202⩹⫏≰1101110⫁⪎⫏≰2022100)⫏⊷)⫲≸⪮(⫏≰2101022↫)⨂≜(⫏≰1202002∺≝⩲⫏≰11112010)∀⇚≩(⫏≰11100011⫁⪎⫏≰22112011)⫞⩸⩒(⫏≰1210120⨎⫏≰12222000)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34390,"operation_count":12,"complexity_ratio":2865.8333333333335,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1279,"base":3},"right_expr":{"type":"numeric_atoms","value":4610,"base":3}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1011,"base":3},"right_expr":{"type":"numeric_atoms","value":1683,"base":3}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1736,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1271,"base":3},"right_expr":{"type":"numeric_atoms","value":3297,"base":3}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3163,"base":3},"right_expr":{"type":"numeric_atoms","value":6214,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1311,"base":3},"right_expr":{"type":"numeric_atoms","value":4347,"base":3}}}}},"used_operators":["P3lXMJvFrc","dcShxvzhyw","2Wsdkap16l","RqrPlJkxDo","xRrnTEsQ6j","LRNGc0VcxI","k1SHOSEABc","uPb5QRN0te","KPf6cnQVty","XGcMNugi78","rJVOvQCfKK"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","X99M06cbEe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫏≰22111001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1279","layer":4},{"info":"number node, value=4610","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=4610, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1683, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-672","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-672, 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=-674","layer":2},{"info":"compute unary expreesion, input=-674, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=6184","layer":1},{"info":"number node, value=1736","layer":4},{"info":"compute unary expreesion, input=1736, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=1271","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=3297, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=3163","layer":4},{"info":"number node, value=6214","layer":4},{"info":"compute binary expreesion, left_input=3163, right_input=6214, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3051","layer":3},{"info":"number node, value=1311","layer":4},{"info":"number node, value=4347","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=4347, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4347","layer":3},{"info":"compute binary expreesion, left_input=-3051, right_input=4347, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-3051","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3051, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6184, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6184","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1202101↞⋁⫏≰20022202⩹⫏≰1101110⫁⪎⫏≰2022100)⫏⊷)⫲≸⪮(⫏≰2101022↫)⨂≜(⫏≰1202002∺≝⩲⫏≰11112010)∀⇚≩(⫏≰11100011⫁⪎⫏≰22112011)⫞⩸⩒(⫏≰1210120⨎⫏≰12222000)=⫏≰22111001","reverse_text":"⫏≰22111001=((⫏≰1202101↞⋁⫏≰20022202⩹⫏≰1101110⫁⪎⫏≰2022100)⫏⊷)⫲≸⪮(⫏≰2101022↫)⨂≜(⫏≰1202002∺≝⩲⫏≰11112010)∀⇚≩(⫏≰11100011⫁⪎⫏≰22112011)⫞⩸⩒(⫏≰1210120⨎⫏≰12222000)","cot":[{"info":"⫏≰1202101↞⋁⫏≰20022202=NaN","layer":3},{"info":"⫏≰1101110⫁⪎⫏≰2022100=⫏≰-220220","layer":3},{"info":"NaN⩹⫏≰-220220=⫏≰-220222","layer":2},{"info":"⫏≰-220222⫏⊷=⫏≰22111001","layer":1},{"info":"⫏≰2101022↫=⫏≰12221","layer":3},{"info":"⫏≰1202002∺≝⩲⫏≰11112010=⫏≰12221","layer":3},{"info":"⫏≰12221⨂≜⫏≰12221=NaN","layer":2},{"info":"⫏≰11100011⫁⪎⫏≰22112011=⫏≰-11012000","layer":3},{"info":"⫏≰1210120⨎⫏≰12222000=⫏≰12222000","layer":3},{"info":"⫏≰-11012000⫞⩸⩒⫏≰12222000=⫏≰-11012000","layer":2},{"info":"NaN∀⇚≩⫏≰-11012000=NaN","layer":1},{"info":"⫏≰22111001⫲≸⪮NaN=⫏≰22111001","layer":0}]}
{"id":93,"expression_no_base_symbol":"(((⇋⊎⋝$1417$)⫌⩉⩟$2037$⫢⨠$5795$)⋻⩜⩜$2078$⪡$1731$⩚⊴⇥(⨵$1697$))⪭≯(($5744$⨿$7588$⫥∨⫟($3809$≬⋮$3655$))≃$1091$⫣⪄⊒$4484$⪘⫢($1102$⫢⨠$3515$))","expression":"(((⇋⊎⋝⫏≰1221111)⫌⩉⩟⫏≰2210110⫢⨠⫏≰21221122)⋻⩜⩜⫏≰2211222⪡⫏≰2101010⩚⊴⇥(⨵⫏≰2022212))⪭≯((⫏≰21212202⨿⫏≰101102001⫥∨⫟(⫏≰12020002≬⋮⫏≰12000101))≃⫏≰1111102⫣⪄⊒⫏≰20011002⪘⫢(⫏≰1111211⫢⨠⫏≰11211012))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30833,"operation_count":15,"complexity_ratio":2055.5333333333333,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1417,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2037,"base":3},"right_expr":{"type":"numeric_atoms","value":5795,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2078,"base":3},"right_expr":{"type":"numeric_atoms","value":1731,"base":3}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1697,"base":3}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5744,"base":3},"right_expr":{"type":"numeric_atoms","value":7588,"base":3}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3809,"base":3},"right_expr":{"type":"numeric_atoms","value":3655,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1091,"base":3},"right_expr":{"type":"numeric_atoms","value":4484,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1102,"base":3},"right_expr":{"type":"numeric_atoms","value":3515,"base":3}}}}},"used_operators":["XAx5wpdLa6","oDCm7WA9JY","XIIwhv8d0m","CzM2PEoXns","xlXykHWxX1","NTOWxs364D","oraRL2iQuh","Tl3Y52tvF8","YbVcJGFEVW","KYD54nUTWz","abYXlopdE0","kbkesczE7y","oacrs7FA3X","RabNbG55vr"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=5795","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=5795, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2078","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=1731, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1697","layer":4},{"info":"compute unary expreesion, input=1697, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-14785","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-14785, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=14557","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=14557, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2124","layer":1},{"info":"number node, value=5744","layer":4},{"info":"number node, value=7588","layer":4},{"info":"compute binary expreesion, left_input=5744, right_input=7588, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3809","layer":4},{"info":"number node, value=3655","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=3655, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=868, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1091","layer":4},{"info":"number node, value=4484","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=4484, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-25234","layer":3},{"info":"number node, value=1102","layer":4},{"info":"number node, value=3515","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=3515, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-25234, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, 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=-72","layer":1},{"info":"compute binary expreesion, left_input=2124, right_input=-72, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⇋⊎⋝⫏≰1221111)⫌⩉⩟⫏≰2210110⫢⨠⫏≰21221122)⋻⩜⩜⫏≰2211222⪡⫏≰2101010⩚⊴⇥(⨵⫏≰2022212))⪭≯((⫏≰21212202⨿⫏≰101102001⫥∨⫟(⫏≰12020002≬⋮⫏≰12000101))≃⫏≰1111102⫣⪄⊒⫏≰20011002⪘⫢(⫏≰1111211⫢⨠⫏≰11211012))=NaN","reverse_text":"NaN=(((⇋⊎⋝⫏≰1221111)⫌⩉⩟⫏≰2210110⫢⨠⫏≰21221122)⋻⩜⩜⫏≰2211222⪡⫏≰2101010⩚⊴⇥(⨵⫏≰2022212))⪭≯((⫏≰21212202⨿⫏≰101102001⫥∨⫟(⫏≰12020002≬⋮⫏≰12000101))≃⫏≰1111102⫣⪄⊒⫏≰20011002⪘⫢(⫏≰1111211⫢⨠⫏≰11211012))","cot":[{"info":"⇋⊎⋝⫏≰1221111=NaN","layer":3},{"info":"⫏≰2210110⫢⨠⫏≰21221122=⫏≰12221","layer":3},{"info":"NaN⫌⩉⩟⫏≰12221=⫏≰-1212","layer":2},{"info":"⫏≰2211222⪡⫏≰2101010=⫏≰10222","layer":3},{"info":"⨵⫏≰2022212=⫏≰-202021121","layer":3},{"info":"⫏≰10222⩚⊴⇥⫏≰-202021121=⫏≰201222011","layer":2},{"info":"⫏≰-1212⋻⩜⩜⫏≰201222011=⫏≰2220200","layer":1},{"info":"⫏≰21212202⨿⫏≰101102001=⫏≰-102211","layer":3},{"info":"⫏≰12020002≬⋮⫏≰12000101=⫏≰1012011","layer":3},{"info":"⫏≰-102211⫥∨⫟⫏≰1012011=NaN","layer":2},{"info":"⫏≰1111102⫣⪄⊒⫏≰20011002=⫏≰-1021121121","layer":3},{"info":"⫏≰1111211⫢⨠⫏≰11211012=⫏≰12221","layer":3},{"info":"⫏≰-1021121121⪘⫢⫏≰12221=⫏≰-1","layer":2},{"info":"NaN≃⫏≰-1=⫏≰-2200","layer":1},{"info":"⫏≰2220200⪭≯⫏≰-2200=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"∟⋨((⋎⨆$5445$)⊋($6837$-$6328$))⫞⩸⩒(∨∊⋏($2049$⪮%⊝$3346$))","expression":"∟⋨((⋎⨆⫏≰21110200)⊋(⫏≰100101020-⫏≰22200101))⫞⩸⩒(∨∊⋏(⫏≰2210220⪮%⊝⫏≰11120221))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":92937,"operation_count":7,"complexity_ratio":13276.714285714286,"tree":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":5445,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6837,"base":3},"right_expr":{"type":"numeric_atoms","value":6328,"base":3}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2049,"base":3},"right_expr":{"type":"numeric_atoms","value":3346,"base":3}}}}},"used_operators":["ctOc4cKSDt","XGcMNugi78","W4tP9CfskL","E64sFOc4tB","rysDP5nf3Z","R5aXW34M0v","IWmyXbctLI"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰-11200112201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5445","layer":4},{"info":"compute unary expreesion, input=5445, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=6837","layer":4},{"info":"number node, value=6328","layer":4},{"info":"compute binary expreesion, left_input=6837, right_input=6328, op_id = rysDP5nf3Z binary_op_definition= 'None', output=509","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=509, 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=0","layer":2},{"info":"number node, value=2049","layer":4},{"info":"number node, value=3346","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=3346, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4414","layer":3},{"info":"compute unary expreesion, input=4414, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=92735","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=92735, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=92735","layer":1},{"info":"compute unary expreesion, input=92735, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-92251","layer":0}],"base":3,"result_base":3,"text":"∟⋨((⋎⨆⫏≰21110200)⊋(⫏≰100101020-⫏≰22200101))⫞⩸⩒(∨∊⋏(⫏≰2210220⪮%⊝⫏≰11120221))=⫏≰-11200112201","reverse_text":"⫏≰-11200112201=∟⋨((⋎⨆⫏≰21110200)⊋(⫏≰100101020-⫏≰22200101))⫞⩸⩒(∨∊⋏(⫏≰2210220⪮%⊝⫏≰11120221))","cot":[{"info":"⋎⨆⫏≰21110200=⫏≰0","layer":3},{"info":"⫏≰100101020-⫏≰22200101=⫏≰200212","layer":3},{"info":"⫏≰0⊋⫏≰200212=⫏≰0","layer":2},{"info":"⫏≰2210220⪮%⊝⫏≰11120221=⫏≰20001111","layer":3},{"info":"∨∊⋏⫏≰20001111=⫏≰11201012122","layer":2},{"info":"⫏≰0⫞⩸⩒⫏≰11201012122=⫏≰11201012122","layer":1},{"info":"∟⋨⫏≰11201012122=⫏≰-11200112201","layer":0}]}
{"id":95,"expression_no_base_symbol":"(($3952$↫)∑⇟⊟(∑⇻≧$6016$)⊾⪯⋞(($2066$⫏⊷)⪘⨀))⇌⫙⪟($1149$⨫⇇↔$1565$⇴∐$1970$∘$2429$⊭↱($2305$≀⫉$4092$≋⫹))","expression":"((⫏≰12102101↫)∑⇟⊟(∑⇻≧⫏≰22020211)⊾⪯⋞((⫏≰2211112⫏⊷)⪘⨀))⇌⫙⪟(⫏≰1120120⨫⇇↔⫏≰2010222⇴∐⫏≰2200222∘⫏≰10022222⊭↱(⫏≰10011101≀⫉⫏≰12121120≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":732611,"operation_count":13,"complexity_ratio":56354.692307692305,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":3952,"base":3}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":6016,"base":3}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":2066,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1149,"base":3},"right_expr":{"type":"numeric_atoms","value":1565,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1970,"base":3},"right_expr":{"type":"numeric_atoms","value":2429,"base":3}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2305,"base":3},"right_expr":{"type":"numeric_atoms","value":4092,"base":3}}}}},"used_operators":["AFVx7xoS7T","HK0tfVPux8","U7g4x0WXJJ","uPb5QRN0te","l1M9WJ3V7u","aA7tF3KVD3","dcShxvzhyw","COABgblf1C","HnzytWxmAO","LXhwmt4mBO","Z5m6OM72h2","N41Kp7NANJ","oZj3VtZNQx"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3952","layer":4},{"info":"compute unary expreesion, input=3952, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=6016","layer":4},{"info":"compute unary expreesion, input=6016, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-852, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute unary expreesion, input=-820, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=1840","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1840, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"number node, value=1149","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1565, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1970","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=2429, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3940","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=3940, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=2305","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=4092, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5644","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5644, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12102101↫)∑⇟⊟(∑⇻≧⫏≰22020211)⊾⪯⋞((⫏≰2211112⫏⊷)⪘⨀))⇌⫙⪟(⫏≰1120120⨫⇇↔⫏≰2010222⇴∐⫏≰2200222∘⫏≰10022222⊭↱(⫏≰10011101≀⫉⫏≰12121120≋⫹))=NaN","reverse_text":"NaN=((⫏≰12102101↫)∑⇟⊟(∑⇻≧⫏≰22020211)⊾⪯⋞((⫏≰2211112⫏⊷)⪘⨀))⇌⫙⪟(⫏≰1120120⨫⇇↔⫏≰2010222⇴∐⫏≰2200222∘⫏≰10022222⊭↱(⫏≰10011101≀⫉⫏≰12121120≋⫹))","cot":[{"info":"⫏≰12102101↫=⫏≰12221","layer":3},{"info":"∑⇻≧⫏≰22020211=⫏≰-1011120","layer":3},{"info":"⫏≰12221∑⇟⊟⫏≰-1011120=NaN","layer":2},{"info":"⫏≰2211112⫏⊷=⫏≰-1010101","layer":3},{"info":"⫏≰-1010101⪘⨀=⫏≰2112011","layer":2},{"info":"NaN⊾⪯⋞⫏≰2112011=NaN","layer":1},{"info":"⫏≰1120120⨫⇇↔⫏≰2010222=⫏≰-201112","layer":3},{"info":"⫏≰2200222∘⫏≰10022222=⫏≰12101221","layer":3},{"info":"⫏≰-201112⇴∐⫏≰12101221=NaN","layer":2},{"info":"⫏≰10011101≀⫉⫏≰12121120=⫏≰10212112","layer":3},{"info":"⫏≰10212112≋⫹=⫏≰-21202001","layer":2},{"info":"NaN⊭↱⫏≰-21202001=NaN","layer":1},{"info":"NaN⇌⫙⪟NaN=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"↩⪖(($2347$⋹)⪭≯($1100$⨒$1629$)⫥∨⫟($3591$⫸⊐$7205$⪒$2810$⪛$2218$))","expression":"↩⪖((⫏≰10012221⋹)⪭≯(⫏≰1111202⨒⫏≰2020100)⫥∨⫟(⫏≰11221000⫸⊐⫏≰100212212⪒⫏≰10212002⪛⫏≰10001011))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2737,"operation_count":8,"complexity_ratio":342.125,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":2347,"base":3}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1100,"base":3},"right_expr":{"type":"numeric_atoms","value":1629,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3591,"base":3},"right_expr":{"type":"numeric_atoms","value":7205,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2810,"base":3},"right_expr":{"type":"numeric_atoms","value":2218,"base":3}}}}},"used_operators":["fG6uBQFnGz","KYD54nUTWz","XAx5wpdLa6","opAxDRczMr","y75s1iXyHd","f6k1SAg4EE","mqXw5SEYmG","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2347","layer":4},{"info":"compute unary expreesion, input=2347, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1629, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6228","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=-6228, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=3591","layer":4},{"info":"number node, value=7205","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=7205, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=28695","layer":3},{"info":"number node, value=2810","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=2218, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=592","layer":3},{"info":"compute binary expreesion, left_input=28695, right_input=592, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-29287","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-29287, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↩⪖((⫏≰10012221⋹)⪭≯(⫏≰1111202⨒⫏≰2020100)⫥∨⫟(⫏≰11221000⫸⊐⫏≰100212212⪒⫏≰10212002⪛⫏≰10001011))=NaN","reverse_text":"NaN=↩⪖((⫏≰10012221⋹)⪭≯(⫏≰1111202⨒⫏≰2020100)⫥∨⫟(⫏≰11221000⫸⊐⫏≰100212212⪒⫏≰10212002⪛⫏≰10001011))","cot":[{"info":"⫏≰10012221⋹=⫏≰-202","layer":3},{"info":"⫏≰1111202⨒⫏≰2020100=⫏≰-22112200","layer":3},{"info":"⫏≰-202⪭≯⫏≰-22112200=NaN","layer":2},{"info":"⫏≰11221000⫸⊐⫏≰100212212=⫏≰1110100210","layer":3},{"info":"⫏≰10212002⪛⫏≰10001011=⫏≰210221","layer":3},{"info":"⫏≰1110100210⪒⫏≰210221=⫏≰-1111011201","layer":2},{"info":"NaN⫥∨⫟⫏≰-1111011201=NaN","layer":1},{"info":"↩⪖NaN=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"((⨑⩽⪐$3787$)⨫⇇↔(⇋↷$4154$))⇻⋧≁($1720$⋛$4148$∑⇟⊟($1078$⊪))∙⊟($7516$⪍↜⋙$6199$⋳⪒(⇖⫷⫕$1042$)≬⋮($2002$≬⋮$5184$)≧⫂∧$3605$⪒⊣⊆$1870$)","expression":"((⨑⩽⪐⫏≰12012021)⨫⇇↔(⇋↷⫏≰12200212))⇻⋧≁(⫏≰2100201⋛⫏≰12200122∑⇟⊟(⫏≰1110221⊪))∙⊟(⫏≰101022101⪍↜⋙⫏≰22111121⋳⪒(⇖⫷⫕⫏≰1102121)≬⋮(⫏≰2202011≬⋮⫏≰21010000)≧⫂∧⫏≰11221112⪒⊣⊆⫏≰2120021)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1333,"operation_count":15,"complexity_ratio":88.86666666666666,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3787,"base":3}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":4154,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1720,"base":3},"right_expr":{"type":"numeric_atoms","value":4148,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1078,"base":3}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":7516,"base":3},"right_expr":{"type":"numeric_atoms","value":6199,"base":3}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1042,"base":3}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2002,"base":3},"right_expr":{"type":"numeric_atoms","value":5184,"base":3}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3605,"base":3},"right_expr":{"type":"numeric_atoms","value":1870,"base":3}}}}},"used_operators":["SxTAKzQCrw","jCPkEVoL5K","LXhwmt4mBO","AF7qkfDlqP","SWo3A1KBJH","U7g4x0WXJJ","YbUVn0Rbpy","zVYPLywUTj","kbkesczE7y","12rbrZMWeM","L05ObWFQCd","UHmRx3INFg","Ph9nP6C5qx","eRqsBgTDFp"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe"],"result":"⫏≰1010120101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3787","layer":4},{"info":"compute unary expreesion, input=3787, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3514","layer":3},{"info":"number node, value=4154","layer":4},{"info":"compute unary expreesion, input=4154, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=33232","layer":3},{"info":"compute binary expreesion, left_input=-3514, right_input=33232, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1720","layer":4},{"info":"number node, value=4148","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=4148, 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=-116712","layer":3},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-116712, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-116712","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-116712, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"number node, value=7516","layer":4},{"info":"number node, value=6199","layer":4},{"info":"compute binary expreesion, left_input=7516, right_input=6199, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=2634","layer":3},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=2634, right_input=2822, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2159","layer":2},{"info":"number node, value=2002","layer":4},{"info":"number node, value=5184","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=5184, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=3605","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=3605, right_input=1870, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7210","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=7210, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6737","layer":2},{"info":"compute binary expreesion, left_input=2159, right_input=6737, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":0}],"base":3,"result_base":3,"text":"((⨑⩽⪐⫏≰12012021)⨫⇇↔(⇋↷⫏≰12200212))⇻⋧≁(⫏≰2100201⋛⫏≰12200122∑⇟⊟(⫏≰1110221⊪))∙⊟(⫏≰101022101⪍↜⋙⫏≰22111121⋳⪒(⇖⫷⫕⫏≰1102121)≬⋮(⫏≰2202011≬⋮⫏≰21010000)≧⫂∧⫏≰11221112⪒⊣⊆⫏≰2120021)=⫏≰1010120101","reverse_text":"⫏≰1010120101=((⨑⩽⪐⫏≰12012021)⨫⇇↔(⇋↷⫏≰12200212))⇻⋧≁(⫏≰2100201⋛⫏≰12200122∑⇟⊟(⫏≰1110221⊪))∙⊟(⫏≰101022101⪍↜⋙⫏≰22111121⋳⪒(⇖⫷⫕⫏≰1102121)≬⋮(⫏≰2202011≬⋮⫏≰21010000)≧⫂∧⫏≰11221112⪒⊣⊆⫏≰2120021)","cot":[{"info":"⨑⩽⪐⫏≰12012021=⫏≰-11211011","layer":3},{"info":"⇋↷⫏≰12200212=⫏≰1200120211","layer":3},{"info":"⫏≰-11211011⨫⇇↔⫏≰1200120211=⫏≰-201112","layer":2},{"info":"⫏≰2100201⋛⫏≰12200122=⫏≰-12221002200","layer":3},{"info":"⫏≰1110221⊪=⫏≰0","layer":3},{"info":"⫏≰-12221002200∑⇟⊟⫏≰0=⫏≰-12221002200","layer":2},{"info":"⫏≰-201112⇻⋧≁⫏≰-12221002200=⫏≰0","layer":1},{"info":"⫏≰101022101⪍↜⋙⫏≰22111121=⫏≰10121120","layer":3},{"info":"⇖⫷⫕⫏≰1102121=⫏≰10212112","layer":3},{"info":"⫏≰10121120⋳⪒⫏≰10212112=⫏≰2221222","layer":2},{"info":"⫏≰2202011≬⋮⫏≰21010000=⫏≰1012011","layer":3},{"info":"⫏≰11221112⪒⊣⊆⫏≰2120021=⫏≰100220001","layer":3},{"info":"⫏≰1012011≧⫂∧⫏≰100220001=⫏≰100020112","layer":2},{"info":"⫏≰2221222≬⋮⫏≰100020112=⫏≰1012011","layer":1},{"info":"⫏≰0∙⊟⫏≰1012011=⫏≰1010120101","layer":0}]}
{"id":98,"expression_no_base_symbol":"(($6123$⋓$1143$≓∲($1279$⪠⩆⊳))∀⋜↑)≌(∤$1208$⇣⩺⋵$1060$⊹∫⫚($1239$⨐⩸⫘$3821$))","expression":"((⫏≰22101210⋓⫏≰1120100≓∲(⫏≰1202101⪠⩆⊳))∀⋜↑)≌(∤⫏≰1122202⇣⩺⋵⫏≰1110021⊹∫⫚(⫏≰1200220⨐⩸⫘⫏≰12020112))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":231,"operation_count":9,"complexity_ratio":25.666666666666668,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6123,"base":3},"right_expr":{"type":"numeric_atoms","value":1143,"base":3}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1279,"base":3}}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1208,"base":3},"right_expr":{"type":"numeric_atoms","value":1060,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1239,"base":3},"right_expr":{"type":"numeric_atoms","value":3821,"base":3}}}}},"used_operators":["lyWz822IDG","KipPnG1M2J","s1XTVnmDOJ","T2fj7uvVaJ","JLbD19bQDL","k2HlF1dBQh","uWAJUKEvyW","F4yD0voBRQ","fu6greOZ01"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6123","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=6123, right_input=1143, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, 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=-1067","layer":2},{"info":"compute unary expreesion, input=-1067, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-3685","layer":1},{"info":"number node, value=1208","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1060, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=3821, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3685, right_input=nan, 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":3,"result_base":3,"text":"((⫏≰22101210⋓⫏≰1120100≓∲(⫏≰1202101⪠⩆⊳))∀⋜↑)≌(∤⫏≰1122202⇣⩺⋵⫏≰1110021⊹∫⫚(⫏≰1200220⨐⩸⫘⫏≰12020112))=NaN","reverse_text":"NaN=((⫏≰22101210⋓⫏≰1120100≓∲(⫏≰1202101⪠⩆⊳))∀⋜↑)≌(∤⫏≰1122202⇣⩺⋵⫏≰1110021⊹∫⫚(⫏≰1200220⨐⩸⫘⫏≰12020112))","cot":[{"info":"⫏≰22101210⋓⫏≰1120100=⫏≰0","layer":3},{"info":"⫏≰1202101⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰0≓∲⫏≰0=⫏≰-1110112","layer":2},{"info":"⫏≰-1110112∀⋜↑=⫏≰-12001111","layer":1},{"info":"⫏≰1122202⇣⩺⋵⫏≰1110021=⫏≰-100122","layer":3},{"info":"⫏≰1200220⨐⩸⫘⫏≰12020112=NaN","layer":3},{"info":"⫏≰-100122⊹∫⫚NaN=NaN","layer":2},{"info":"∤NaN=NaN","layer":1},{"info":"⫏≰-12001111≌NaN=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"(⇐(($1250$⪘⫢$1367$)∌↝(∓$5751$)))≥⨤⩑($2702$≌$2412$≓∲($1250$↛⩡⫤))∌(($1239$⊨$1506$)⩏)","expression":"(⇐((⫏≰1201022⪘⫢⫏≰1212122)∌↝(∓⫏≰21220000)))≥⨤⩑(⫏≰10201002≌⫏≰10022100≓∲(⫏≰1201022↛⩡⫤))∌((⫏≰1200220⊨⫏≰2001210)⩏)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7121,"operation_count":11,"complexity_ratio":647.3636363636364,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1250,"base":3},"right_expr":{"type":"numeric_atoms","value":1367,"base":3}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":5751,"base":3}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2702,"base":3},"right_expr":{"type":"numeric_atoms","value":2412,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1250,"base":3}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1239,"base":3},"right_expr":{"type":"numeric_atoms","value":1506,"base":3}}}}},"used_operators":["gJLn6v0xnP","nmZMaaE0Q9","9Isq31Ruls","oacrs7FA3X","OwUj7dcsQK","8cLx32lpNA","s1XTVnmDOJ","lyWz822IDG","FU0Cs4j7VP","iA2gmKZ3Wj","vg4gO5BX6G"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","z6LnFrNh4i","Tcnh7f0tEr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1250","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1367, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2376","layer":3},{"info":"number node, value=5751","layer":4},{"info":"compute unary expreesion, input=5751, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-91137","layer":3},{"info":"compute binary expreesion, left_input=2376, right_input=-91137, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=4752","layer":2},{"info":"compute unary expreesion, input=4752, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=15738","layer":1},{"info":"number node, value=2702","layer":4},{"info":"number node, value=2412","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=2412, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1250","layer":4},{"info":"compute unary expreesion, input=1250, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-184839","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-184839, 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":2},{"info":"number node, value=1239","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1506, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5987","layer":3},{"info":"compute unary expreesion, input=5987, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=15738, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"(⇐((⫏≰1201022⪘⫢⫏≰1212122)∌↝(∓⫏≰21220000)))≥⨤⩑(⫏≰10201002≌⫏≰10022100≓∲(⫏≰1201022↛⩡⫤))∌((⫏≰1200220⊨⫏≰2001210)⩏)=⫏≰1200201","reverse_text":"⫏≰1200201=(⇐((⫏≰1201022⪘⫢⫏≰1212122)∌↝(∓⫏≰21220000)))≥⨤⩑(⫏≰10201002≌⫏≰10022100≓∲(⫏≰1201022↛⩡⫤))∌((⫏≰1200220⊨⫏≰2001210)⩏)","cot":[{"info":"⫏≰1201022⪘⫢⫏≰1212122=⫏≰10021000","layer":3},{"info":"∓⫏≰21220000=⫏≰-11122000110","layer":3},{"info":"⫏≰10021000∌↝⫏≰-11122000110=⫏≰20112000","layer":2},{"info":"⇐⫏≰20112000=⫏≰210120220","layer":1},{"info":"⫏≰10201002≌⫏≰10022100=NaN","layer":3},{"info":"⫏≰1201022↛⩡⫤=⫏≰-100101112220","layer":3},{"info":"NaN≓∲⫏≰-100101112220=NaN","layer":2},{"info":"⫏≰1200220⊨⫏≰2001210=⫏≰22012202","layer":3},{"info":"⫏≰22012202⩏=⫏≰0","layer":2},{"info":"NaN∌⫏≰0=⫏≰0","layer":1},{"info":"⫏≰210120220≥⨤⩑⫏≰0=⫏≰1200201","layer":0}]}
{"id":100,"expression_no_base_symbol":"((⇈$7233$)⊚⫡⫭)⪉⨛($2787$⊪)⪔$1491$⨚$2693$⊓⋫","expression":"((⇈⫏≰100220220)⊚⫡⫭)⪉⨛(⫏≰10211020⊪)⪔⫏≰2001020⨚⫏≰10200202⊓⋫","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8068,"operation_count":7,"complexity_ratio":1152.5714285714287,"tree":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":7233,"base":3}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2787,"base":3}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1491,"base":3},"right_expr":{"type":"numeric_atoms","value":2693,"base":3}}}}},"used_operators":["IqGBaFP0uj","EWw2JM7wp4","SpZWOsLKZJ","SLLxy00UIr","GjBEYRfMaF","zVYPLywUTj","nREPSIbpBE"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7233","layer":4},{"info":"compute unary expreesion, input=7233, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=4334","layer":2},{"info":"number node, value=2787","layer":4},{"info":"compute unary expreesion, input=2787, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1491","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=2693, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-6856","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6856, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4334, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇈⫏≰100220220)⊚⫡⫭)⪉⨛(⫏≰10211020⊪)⪔⫏≰2001020⨚⫏≰10200202⊓⋫=NaN","reverse_text":"NaN=((⇈⫏≰100220220)⊚⫡⫭)⪉⨛(⫏≰10211020⊪)⪔⫏≰2001020⨚⫏≰10200202⊓⋫","cot":[{"info":"⇈⫏≰100220220=⫏≰-121120","layer":3},{"info":"⫏≰-121120⊚⫡⫭=⫏≰12221112","layer":2},{"info":"⫏≰10211020⊪=⫏≰0","layer":3},{"info":"⫏≰2001020⨚⫏≰10200202=⫏≰-100101221","layer":3},{"info":"⫏≰0⪔⫏≰-100101221=NaN","layer":2},{"info":"⫏≰12221112⪉⨛NaN=NaN","layer":1},{"info":"NaN⊓⋫=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"(($5811$∘$2939$⨒$1336$⫸⇳$1605$)≚⋢)⊍","expression":"((⫏≰21222020∘⫏≰11000212⨒⫏≰1211111⫸⇳⫏≰2012110)≚⋢)⊍","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":138,"operation_count":5,"complexity_ratio":27.6,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5811,"base":3},"right_expr":{"type":"numeric_atoms","value":2939,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1336,"base":3},"right_expr":{"type":"numeric_atoms","value":1605,"base":3}}}}},"used_operators":["3nqY3DE9mg","MahUMFw56D","y75s1iXyHd","Z5m6OM72h2","gx7XJ7hdpj"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","3ViojmjbAp","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eH2TOUuTDT","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⫏≰-20100020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5811","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=5811, right_input=2939, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=11622","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1605, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=11622, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute unary expreesion, input=-89, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-4623","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21222020∘⫏≰11000212⨒⫏≰1211111⫸⇳⫏≰2012110)≚⋢)⊍=⫏≰-20100020","reverse_text":"⫏≰-20100020=((⫏≰21222020∘⫏≰11000212⨒⫏≰1211111⫸⇳⫏≰2012110)≚⋢)⊍","cot":[{"info":"⫏≰21222020∘⫏≰11000212=⫏≰120221110","layer":3},{"info":"⫏≰1211111⫸⇳⫏≰2012110=⫏≰0","layer":3},{"info":"⫏≰120221110⨒⫏≰0=⫏≰0","layer":2},{"info":"⫏≰0≚⋢=⫏≰-10022","layer":1},{"info":"⫏≰-10022⊍=⫏≰-20100020","layer":0}]}
{"id":102,"expression_no_base_symbol":"(⊀($3487$⩏))⋛((⇋↷$1191$)⫸⊐$2891$⪔⊥$4334$)%((⨴⫝$3939$)⇼⇔∾$4242$∛$5759$)∊∟⩊((⨦⪝$1111$)↡⊰⫅(⨛$3349$))","expression":"(⊀(⫏≰11210011⩏))⋛((⇋↷⫏≰1122010)⫸⊐⫏≰10222002⪔⊥⫏≰12221112)%((⨴⫝⫏≰12101220)⇼⇔∾⫏≰12211010∛⫏≰21220022)∊∟⩊((⨦⪝⫏≰1112011)↡⊰⫅(⨛⫏≰11121001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":58362,"operation_count":14,"complexity_ratio":4168.714285714285,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":3487,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1191,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2891,"base":3},"right_expr":{"type":"numeric_atoms","value":4334,"base":3}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":3939,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4242,"base":3},"right_expr":{"type":"numeric_atoms","value":5759,"base":3}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1111,"base":3}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":3349,"base":3}}}}},"used_operators":["k8jYdgA6NY","YbUVn0Rbpy","oPMjh9089D","iA2gmKZ3Wj","mqXw5SEYmG","SWo3A1KBJH","HJ9erzHUuu","ddLRYrp01A","tifHPKVTfV","SVb2v531z1","w2537kitQq","VCtxkLNOzz","SUjycxNXIR","CoMdbyAt7R"],"dependent_operators":["rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","z6LnFrNh4i","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3487","layer":4},{"info":"compute unary expreesion, input=3487, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"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":2},{"info":"number node, value=1191","layer":4},{"info":"compute unary expreesion, input=1191, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=9528","layer":3},{"info":"number node, value=2891","layer":4},{"info":"number node, value=4334","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=4334, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2697","layer":3},{"info":"compute binary expreesion, left_input=9528, right_input=2697, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10663","layer":2},{"info":"compute binary expreesion, left_input=-262, right_input=10663, 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=-125442","layer":1},{"info":"number node, value=3939","layer":4},{"info":"compute unary expreesion, input=3939, 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":3},{"info":"number node, value=4242","layer":4},{"info":"number node, value=5759","layer":4},{"info":"compute binary expreesion, left_input=4242, right_input=5759, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=-670, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2828868","layer":2},{"info":"number node, value=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=3349","layer":4},{"info":"compute unary expreesion, input=3349, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2828868, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-125442, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊀(⫏≰11210011⩏))⋛((⇋↷⫏≰1122010)⫸⊐⫏≰10222002⪔⊥⫏≰12221112)%((⨴⫝⫏≰12101220)⇼⇔∾⫏≰12211010∛⫏≰21220022)∊∟⩊((⨦⪝⫏≰1112011)↡⊰⫅(⨛⫏≰11121001))=NaN","reverse_text":"NaN=(⊀(⫏≰11210011⩏))⋛((⇋↷⫏≰1122010)⫸⊐⫏≰10222002⪔⊥⫏≰12221112)%((⨴⫝⫏≰12101220)⇼⇔∾⫏≰12211010∛⫏≰21220022)∊∟⩊((⨦⪝⫏≰1112011)↡⊰⫅(⨛⫏≰11121001))","cot":[{"info":"⫏≰11210011⩏=⫏≰0","layer":3},{"info":"⊀⫏≰0=⫏≰-100201","layer":2},{"info":"⇋↷⫏≰1122010=⫏≰111001220","layer":3},{"info":"⫏≰10222002⪔⊥⫏≰12221112=⫏≰10200220","layer":3},{"info":"⫏≰111001220⫸⊐⫏≰10200220=⫏≰112121221","layer":2},{"info":"⫏≰-100201⋛⫏≰112121221=⫏≰-20101002000","layer":1},{"info":"⨴⫝⫏≰12101220=⫏≰12022200120002","layer":3},{"info":"⫏≰12211010∛⫏≰21220022=⫏≰-220211","layer":3},{"info":"⫏≰12022200120002⇼⇔∾⫏≰-220211=⫏≰-12022201110220","layer":2},{"info":"⨦⪝⫏≰1112011=⫏≰-2120210","layer":3},{"info":"⨛⫏≰11121001=NaN","layer":3},{"info":"⫏≰-2120210↡⊰⫅NaN=NaN","layer":2},{"info":"⫏≰-12022201110220∊∟⩊NaN=⫏≰0","layer":1},{"info":"⫏≰-20101002000%⫏≰0=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"($4493$⇄$1606$)∓⋝(⫶⊄≣$1062$)⊋(≤/$2569$⊹∫⫚$1197$)∀⇚≩($2375$⨚⇆$2276$⪁$4383$⩵∡$2415$)⊱⇼⊻($1565$≁↽≥$3042$≬⋮($2478$/$1150$))","expression":"(⫏≰20011102⇄⫏≰2012111)∓⋝(⫶⊄≣⫏≰1110100)⊋(≤/⫏≰10112011⊹∫⫚⫏≰1122100)∀⇚≩(⫏≰10020222⨚⇆⫏≰10010022⪁⫏≰20000100⩵∡⫏≰10022110)⊱⇼⊻(⫏≰2010222≁↽≥⫏≰11011200≬⋮(⫏≰10101210/⫏≰1120121))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25748,"operation_count":14,"complexity_ratio":1839.142857142857,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4493,"base":3},"right_expr":{"type":"numeric_atoms","value":1606,"base":3}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1062,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2569,"base":3},"right_expr":{"type":"numeric_atoms","value":1197,"base":3}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2375,"base":3},"right_expr":{"type":"numeric_atoms","value":2276,"base":3}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4383,"base":3},"right_expr":{"type":"numeric_atoms","value":2415,"base":3}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1565,"base":3},"right_expr":{"type":"numeric_atoms","value":3042,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2478,"base":3},"right_expr":{"type":"numeric_atoms","value":1150,"base":3}}}}},"used_operators":["LRNGc0VcxI","W4tP9CfskL","PoHhknlbAi","3EYGwJThht","wxb3vTeyAj","eLAdDNolq6","uWAJUKEvyW","FyVja0WsTP","I7sXao9hZE","lwHaAYXP2r","Y7wcNGrDQJ","kbkesczE7y","ncHt1X6cMc","XhwjNDsVaA"],"dependent_operators":["X99M06cbEe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","NTOWxs364D","glklzrTFfD","tifHPKVTfV","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4493","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=4493, right_input=1606, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=20316997","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20316997, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":2},{"info":"number node, value=2569","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=1197, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-360","layer":3},{"info":"compute unary expreesion, input=-360, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=844","layer":2},{"info":"compute binary expreesion, left_input=121, right_input=844, 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=-4177872","layer":1},{"info":"number node, value=2375","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=2276, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=4383","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=4383, right_input=2415, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6472","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6472, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1565","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=3042, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=33407","layer":3},{"info":"number node, value=2478","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=1150, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=33407, right_input=2, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4177872, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20011102⇄⫏≰2012111)∓⋝(⫶⊄≣⫏≰1110100)⊋(≤/⫏≰10112011⊹∫⫚⫏≰1122100)∀⇚≩(⫏≰10020222⨚⇆⫏≰10010022⪁⫏≰20000100⩵∡⫏≰10022110)⊱⇼⊻(⫏≰2010222≁↽≥⫏≰11011200≬⋮(⫏≰10101210/⫏≰1120121))=NaN","reverse_text":"NaN=(⫏≰20011102⇄⫏≰2012111)∓⋝(⫶⊄≣⫏≰1110100)⊋(≤/⫏≰10112011⊹∫⫚⫏≰1122100)∀⇚≩(⫏≰10020222⨚⇆⫏≰10010022⪁⫏≰20000100⩵∡⫏≰10022110)⊱⇼⊻(⫏≰2010222≁↽≥⫏≰11011200≬⋮(⫏≰10101210/⫏≰1120121))","cot":[{"info":"⫏≰20011102⇄⫏≰2012111=⫏≰0","layer":3},{"info":"⫶⊄≣⫏≰1110100=⫏≰1102020012200101","layer":3},{"info":"⫏≰0∓⋝⫏≰1102020012200101=⫏≰11111","layer":2},{"info":"⫏≰10112011⊹∫⫚⫏≰1122100=⫏≰-111100","layer":3},{"info":"≤/⫏≰-111100=⫏≰1011021","layer":2},{"info":"⫏≰11111⊋⫏≰1011021=⫏≰-21212020222000","layer":1},{"info":"⫏≰10020222⨚⇆⫏≰10010022=NaN","layer":3},{"info":"⫏≰20000100⩵∡⫏≰10022110=⫏≰-22212201","layer":3},{"info":"NaN⪁⫏≰-22212201=NaN","layer":2},{"info":"⫏≰2010222≁↽≥⫏≰11011200=⫏≰1200211022","layer":3},{"info":"⫏≰10101210/⫏≰1120121=⫏≰2","layer":3},{"info":"⫏≰1200211022≬⋮⫏≰2=⫏≰1012011","layer":2},{"info":"NaN⊱⇼⊻⫏≰1012011=NaN","layer":1},{"info":"⫏≰-21212020222000∀⇚≩NaN=NaN","layer":0}]}
{"id":104,"expression_no_base_symbol":"(↣≠⋷($1073$⊋$1098$))⪎↠(($1339$⋛$1688$)⊱⇼⊻($3949$≳⇉$1219$))⩌⋺(≀↧⇸(⇖($2798$⇴$3431$)))","expression":"(↣≠⋷(⫏≰1110202⊋⫏≰1111200))⪎↠((⫏≰1211121⋛⫏≰2022112)⊱⇼⊻(⫏≰12102021≳⇉⫏≰1200011))⩌⋺(≀↧⇸(⇖(⫏≰10211122⇴⫏≰11201002)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33497742,"operation_count":10,"complexity_ratio":3349774.2,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1073,"base":3},"right_expr":{"type":"numeric_atoms","value":1098,"base":3}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1339,"base":3},"right_expr":{"type":"numeric_atoms","value":1688,"base":3}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3949,"base":3},"right_expr":{"type":"numeric_atoms","value":1219,"base":3}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2798,"base":3},"right_expr":{"type":"numeric_atoms","value":3431,"base":3}}}}},"used_operators":["g7Hmc5v1ko","3tVxb0NHM4","Asc51vEJeQ","W4tP9CfskL","FyVja0WsTP","YbUVn0Rbpy","V0kx6qeWkN","ljTHtUsqzn","tfWHHpNKUN","4JB6nKBMSY"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XhwjNDsVaA","AHs5Up7iyr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1098, 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=113960","layer":3},{"info":"compute unary expreesion, input=113960, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1339","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=1688, 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=-120141","layer":3},{"info":"number node, value=3949","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=3949, right_input=1219, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-120141, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=480768","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=480768, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"number node, value=2798","layer":4},{"info":"number node, value=3431","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=3431, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=23264","layer":3},{"info":"compute unary expreesion, input=23264, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-640","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-640, 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=nan","layer":0}],"base":3,"result_base":3,"text":"(↣≠⋷(⫏≰1110202⊋⫏≰1111200))⪎↠((⫏≰1211121⋛⫏≰2022112)⊱⇼⊻(⫏≰12102021≳⇉⫏≰1200011))⩌⋺(≀↧⇸(⇖(⫏≰10211122⇴⫏≰11201002)))=NaN","reverse_text":"NaN=(↣≠⋷(⫏≰1110202⊋⫏≰1111200))⪎↠((⫏≰1211121⋛⫏≰2022112)⊱⇼⊻(⫏≰12102021≳⇉⫏≰1200011))⩌⋺(≀↧⇸(⇖(⫏≰10211122⇴⫏≰11201002)))","cot":[{"info":"⫏≰1110202⊋⫏≰1111200=⫏≰12210022202","layer":3},{"info":"↣≠⋷⫏≰12210022202=NaN","layer":2},{"info":"⫏≰1211121⋛⫏≰2022112=⫏≰-20002210200","layer":3},{"info":"⫏≰12102021≳⇉⫏≰1200011=NaN","layer":3},{"info":"⫏≰-20002210200⊱⇼⊻NaN=⫏≰220102111020","layer":2},{"info":"NaN⪎↠⫏≰220102111020=NaN","layer":1},{"info":"⫏≰10211122⇴⫏≰11201002=⫏≰1011220122","layer":3},{"info":"⇖⫏≰1011220122=⫏≰12221","layer":2},{"info":"≀↧⇸⫏≰12221=⫏≰-212201","layer":1},{"info":"NaN⩌⋺⫏≰-212201=NaN","layer":0}]}
{"id":105,"expression_no_base_symbol":"(($3848$⨔⇊$1090$≫≃)⫔⩽⩺$3338$≄⊠$1343$⨓($1603$⋝⋈⪟$2884$))⫞⩸⩒($1047$≴⪞⇿$4989$≹⇙⪍(∓$5184$)⋻⩜⩜($1769$∪⫐$2261$)⪮%⊝$2079$⨼⩣$5882$)","expression":"((⫏≰12021112⨔⇊⫏≰1111101≫≃)⫔⩽⩺⫏≰11120122≄⊠⫏≰1211202⨓(⫏≰2012101⋝⋈⪟⫏≰10221211))⫞⩸⩒(⫏≰1102210≴⪞⇿⫏≰20211210≹⇙⪍(∓⫏≰21010000)⋻⩜⩜(⫏≰2102112∪⫐⫏≰10002202)⪮%⊝⫏≰2212000⨼⩣⫏≰22001212)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2929,"operation_count":14,"complexity_ratio":209.21428571428572,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3848,"base":3},"right_expr":{"type":"numeric_atoms","value":1090,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3338,"base":3},"right_expr":{"type":"numeric_atoms","value":1343,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1603,"base":3},"right_expr":{"type":"numeric_atoms","value":2884,"base":3}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1047,"base":3},"right_expr":{"type":"numeric_atoms","value":4989,"base":3}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":5184,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1769,"base":3},"right_expr":{"type":"numeric_atoms","value":2261,"base":3}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2079,"base":3},"right_expr":{"type":"numeric_atoms","value":5882,"base":3}}}}},"used_operators":["XGcMNugi78","i9eR4S00cU","X99M06cbEe","JclMnS0uGI","3ViojmjbAp","vXNesLlMH1","2DDjHMKMc0","oDCm7WA9JY","AHs5Up7iyr","lvlrscuwVU","OwUj7dcsQK","IWmyXbctLI","7YooWSwCyH","JxwMv5le6e"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Tw270M8GLb","fu6greOZ01","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3848","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=3848, right_input=1090, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1090","layer":3},{"info":"compute unary expreesion, input=1090, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3581","layer":2},{"info":"number node, value=3338","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=3338, right_input=1343, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=26156","layer":3},{"info":"number node, value=1603","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=2884, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1603","layer":3},{"info":"compute binary expreesion, left_input=26156, right_input=1603, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1606","layer":2},{"info":"compute binary expreesion, left_input=3581, right_input=-1606, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1047","layer":4},{"info":"number node, value=4989","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=4989, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1198386","layer":3},{"info":"number node, value=5184","layer":4},{"info":"compute unary expreesion, input=5184, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-82632","layer":3},{"info":"compute binary expreesion, left_input=1198386, right_input=-82632, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1769","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=2261, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1769","layer":3},{"info":"number node, value=2079","layer":4},{"info":"number node, value=5882","layer":4},{"info":"compute binary expreesion, left_input=2079, right_input=5882, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1769, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12021112⨔⇊⫏≰1111101≫≃)⫔⩽⩺⫏≰11120122≄⊠⫏≰1211202⨓(⫏≰2012101⋝⋈⪟⫏≰10221211))⫞⩸⩒(⫏≰1102210≴⪞⇿⫏≰20211210≹⇙⪍(∓⫏≰21010000)⋻⩜⩜(⫏≰2102112∪⫐⫏≰10002202)⪮%⊝⫏≰2212000⨼⩣⫏≰22001212)=NaN","reverse_text":"NaN=((⫏≰12021112⨔⇊⫏≰1111101≫≃)⫔⩽⩺⫏≰11120122≄⊠⫏≰1211202⨓(⫏≰2012101⋝⋈⪟⫏≰10221211))⫞⩸⩒(⫏≰1102210≴⪞⇿⫏≰20211210≹⇙⪍(∓⫏≰21010000)⋻⩜⩜(⫏≰2102112∪⫐⫏≰10002202)⪮%⊝⫏≰2212000⨼⩣⫏≰22001212)","cot":[{"info":"⫏≰12021112⨔⇊⫏≰1111101=⫏≰1111101","layer":3},{"info":"⫏≰1111101≫≃=⫏≰11220122","layer":2},{"info":"⫏≰11120122≄⊠⫏≰1211202=⫏≰1022212202","layer":3},{"info":"⫏≰2012101⋝⋈⪟⫏≰10221211=⫏≰2012101","layer":3},{"info":"⫏≰1022212202⨓⫏≰2012101=⫏≰-2012111","layer":2},{"info":"⫏≰11220122⫔⩽⩺⫏≰-2012111=NaN","layer":1},{"info":"⫏≰1102210≴⪞⇿⫏≰20211210=⫏≰2020212212200","layer":3},{"info":"∓⫏≰21010000=⫏≰-11012100110","layer":3},{"info":"⫏≰2020212212200≹⇙⪍⫏≰-11012100110=NaN","layer":2},{"info":"⫏≰2102112∪⫐⫏≰10002202=⫏≰2102112","layer":3},{"info":"⫏≰2212000⨼⩣⫏≰22001212=NaN","layer":3},{"info":"⫏≰2102112⪮%⊝NaN=NaN","layer":2},{"info":"NaN⋻⩜⩜NaN=NaN","layer":1},{"info":"NaN⫞⩸⩒NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(($1184$⨘⋶⪀)⊭∹↮)⩖⊿(($1429$⪇≇⋚$5918$)⨱∎)⇮⋭(⊖∈(⇋↷$3980$))↺(∑⇻≧$2264$)⪃⊛⇣($1037$⩨$2184$)","expression":"((⫏≰1121212⨘⋶⪀)⊭∹↮)⩖⊿((⫏≰1221221⪇≇⋚⫏≰22010012)⨱∎)⇮⋭(⊖∈(⇋↷⫏≰12110102))↺(∑⇻≧⫏≰10002212)⪃⊛⇣(⫏≰1102102⩨⫏≰2222220)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":726721,"operation_count":12,"complexity_ratio":60560.083333333336,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1184,"base":3}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1429,"base":3},"right_expr":{"type":"numeric_atoms","value":5918,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":3980,"base":3}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2264,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1037,"base":3},"right_expr":{"type":"numeric_atoms","value":2184,"base":3}}}}},"used_operators":["vkpjKywKVM","RZ5CV9rWsJ","xNBdhnnwKq","XVKwrhznBb","MmTdOpaElr","3sJ7IOPOlU","7j4O788W3g","YFxL8Sc2Zy","SWo3A1KBJH","rrgAzCduG9","l1M9WJ3V7u","2DlMacCsIx"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","tifHPKVTfV","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1184","layer":4},{"info":"compute unary expreesion, input=1184, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"number node, value=1429","layer":4},{"info":"number node, value=5918","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=5918, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"number node, value=3980","layer":4},{"info":"compute unary expreesion, input=3980, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=31840","layer":3},{"info":"compute unary expreesion, input=31840, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=631206","layer":2},{"info":"number node, value=2264","layer":4},{"info":"compute unary expreesion, input=2264, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2184, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=-6, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=631206, right_input=1234, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1121212⨘⋶⪀)⊭∹↮)⩖⊿((⫏≰1221221⪇≇⋚⫏≰22010012)⨱∎)⇮⋭(⊖∈(⇋↷⫏≰12110102))↺(∑⇻≧⫏≰10002212)⪃⊛⇣(⫏≰1102102⩨⫏≰2222220)=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰1121212⨘⋶⪀)⊭∹↮)⩖⊿((⫏≰1221221⪇≇⋚⫏≰22010012)⨱∎)⇮⋭(⊖∈(⇋↷⫏≰12110102))↺(∑⇻≧⫏≰10002212)⪃⊛⇣(⫏≰1102102⩨⫏≰2222220)","cot":[{"info":"⫏≰1121212⨘⋶⪀=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⫏≰1221221⪇≇⋚⫏≰22010012=⫏≰0","layer":3},{"info":"⫏≰0⨱∎=⫏≰0","layer":2},{"info":"NaN⩖⊿⫏≰0=NaN","layer":1},{"info":"⇋↷⫏≰12110102=⫏≰1121200021","layer":3},{"info":"⊖∈⫏≰1121200021=⫏≰1012001212000","layer":2},{"info":"∑⇻≧⫏≰10002212=⫏≰-1011120","layer":3},{"info":"⫏≰1102102⩨⫏≰2222220=⫏≰-20","layer":3},{"info":"⫏≰-1011120⪃⊛⇣⫏≰-20=⫏≰1200201","layer":2},{"info":"⫏≰1012001212000↺⫏≰1200201=⫏≰1200201","layer":1},{"info":"NaN⇮⋭⫏≰1200201=⫏≰2111","layer":0}]}
{"id":107,"expression_no_base_symbol":"((∤↝$4770$)⪬($3217$⨪↰⇹$8135$)⪥($1076$⊴$3181$⇡))⨐((∑⇻≧$2032$⫢⨠$3344$)↼⊘⨖(⇋↷($2083$≬⇓$2854$)))","expression":"((∤↝⫏≰20112200)⪬(⫏≰11102011⨪↰⇹⫏≰102011022)⪥(⫏≰1110212⊴⫏≰11100211⇡))⨐((∑⇻≧⫏≰2210021⫢⨠⫏≰11120212)↼⊘⨖(⇋↷(⫏≰2212011≬⇓⫏≰10220201)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7154,"operation_count":12,"complexity_ratio":596.1666666666666,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":4770,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3217,"base":3},"right_expr":{"type":"numeric_atoms","value":8135,"base":3}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1076,"base":3},"right_expr":{"type":"numeric_atoms","value":3181,"base":3}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2032,"base":3},"right_expr":{"type":"numeric_atoms","value":3344,"base":3}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2083,"base":3},"right_expr":{"type":"numeric_atoms","value":2854,"base":3}}}}},"used_operators":["Noe24qw2ks","QbnwKVWMIQ","Ez1Nq5fNfI","3UMq87Qwqg","tmPS8pqC7x","UqFzSgLMvQ","Nsiff2A1zJ","bPywburJMS","l1M9WJ3V7u","xlXykHWxX1","SWo3A1KBJH","jWTQ2TZYIH"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rJVOvQCfKK","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⫏≰-222022020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4770","layer":4},{"info":"compute unary expreesion, input=4770, 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=4770","layer":3},{"info":"number node, value=3217","layer":4},{"info":"number node, value=8135","layer":4},{"info":"compute binary expreesion, left_input=3217, right_input=8135, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3217","layer":3},{"info":"compute binary expreesion, left_input=4770, right_input=3217, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=3181, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9588","layer":1},{"info":"number node, value=2032","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=3344, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=2083","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=2854, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-176","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=-176, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-574","layer":1},{"info":"compute binary expreesion, left_input=9588, right_input=-574, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-19176","layer":0}],"base":3,"result_base":3,"text":"((∤↝⫏≰20112200)⪬(⫏≰11102011⨪↰⇹⫏≰102011022)⪥(⫏≰1110212⊴⫏≰11100211⇡))⨐((∑⇻≧⫏≰2210021⫢⨠⫏≰11120212)↼⊘⨖(⇋↷(⫏≰2212011≬⇓⫏≰10220201)))=⫏≰-222022020","reverse_text":"⫏≰-222022020=((∤↝⫏≰20112200)⪬(⫏≰11102011⨪↰⇹⫏≰102011022)⪥(⫏≰1110212⊴⫏≰11100211⇡))⨐((∑⇻≧⫏≰2210021⫢⨠⫏≰11120212)↼⊘⨖(⇋↷(⫏≰2212011≬⇓⫏≰10220201)))","cot":[{"info":"∤↝⫏≰20112200=⫏≰20112200","layer":3},{"info":"⫏≰11102011⨪↰⇹⫏≰102011022=⫏≰11102011","layer":3},{"info":"⫏≰20112200⪬⫏≰11102011=⫏≰1200201","layer":2},{"info":"⫏≰1110212⊴⫏≰11100211=NaN","layer":3},{"info":"NaN⇡=NaN","layer":2},{"info":"⫏≰1200201⪥NaN=⫏≰111011010","layer":1},{"info":"⫏≰2210021⫢⨠⫏≰11120212=⫏≰12221","layer":3},{"info":"∑⇻≧⫏≰12221=⫏≰-1011120","layer":2},{"info":"⫏≰2212011≬⇓⫏≰10220201=⫏≰-211","layer":3},{"info":"⇋↷⫏≰-211=⫏≰-20112","layer":2},{"info":"⫏≰-1011120↼⊘⨖⫏≰-20112=⫏≰-210021","layer":1},{"info":"⫏≰111011010⨐⫏≰-210021=⫏≰-222022020","layer":0}]}
{"id":108,"expression_no_base_symbol":"(⊀(⇖($1080$⪇≇⋚$1085$)))⇣⩺⋵((≯($1348$∀⇚≩$6648$))⋅⇍(($6132$∪⫐$2022$)≓∲($1996$⫚↹⊑$1161$)))","expression":"(⊀(⇖(⫏≰1111000⪇≇⋚⫏≰1111012)))⇣⩺⋵((≯(⫏≰1211221∀⇚≩⫏≰100010020))⋅⇍((⫏≰22102010∪⫐⫏≰2202220)≓∲(⫏≰2201221⫚↹⊑⫏≰1121000)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9591,"operation_count":10,"complexity_ratio":959.1,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1080,"base":3},"right_expr":{"type":"numeric_atoms","value":1085,"base":3}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1348,"base":3},"right_expr":{"type":"numeric_atoms","value":6648,"base":3}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6132,"base":3},"right_expr":{"type":"numeric_atoms","value":2022,"base":3}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1996,"base":3},"right_expr":{"type":"numeric_atoms","value":1161,"base":3}}}}},"used_operators":["F4yD0voBRQ","oPMjh9089D","tfWHHpNKUN","3sJ7IOPOlU","AdZkA7nFnk","keWfFq85dY","LRNGc0VcxI","s1XTVnmDOJ","7YooWSwCyH","dfKe02y8D2"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","2DQ55sFlQl","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","g55IO6H4Gj","JLbD19bQDL","X99M06cbEe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rJVOvQCfKK","2DDjHMKMc0","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⫏≰-100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1085, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=378","layer":1},{"info":"number node, value=1348","layer":4},{"info":"number node, value=6648","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=6648, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":2},{"info":"number node, value=6132","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=6132, right_input=2022, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6132","layer":3},{"info":"number node, value=1996","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=1161, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=6132, right_input=-447, 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=-300389","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-300389, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=378, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":3,"result_base":3,"text":"(⊀(⇖(⫏≰1111000⪇≇⋚⫏≰1111012)))⇣⩺⋵((≯(⫏≰1211221∀⇚≩⫏≰100010020))⋅⇍((⫏≰22102010∪⫐⫏≰2202220)≓∲(⫏≰2201221⫚↹⊑⫏≰1121000)))=⫏≰-100122","reverse_text":"⫏≰-100122=(⊀(⇖(⫏≰1111000⪇≇⋚⫏≰1111012)))⇣⩺⋵((≯(⫏≰1211221∀⇚≩⫏≰100010020))⋅⇍((⫏≰22102010∪⫐⫏≰2202220)≓∲(⫏≰2201221⫚↹⊑⫏≰1121000)))","cot":[{"info":"⫏≰1111000⪇≇⋚⫏≰1111012=⫏≰0","layer":3},{"info":"⇖⫏≰0=⫏≰12221","layer":2},{"info":"⊀⫏≰12221=⫏≰112000","layer":1},{"info":"⫏≰1211221∀⇚≩⫏≰100010020=NaN","layer":3},{"info":"≯NaN=NaN","layer":2},{"info":"⫏≰22102010∪⫐⫏≰2202220=⫏≰22102010","layer":3},{"info":"⫏≰2201221⫚↹⊑⫏≰1121000=⫏≰-121120","layer":3},{"info":"⫏≰22102010≓∲⫏≰-121120=⫏≰-120021001112","layer":2},{"info":"NaN⋅⇍⫏≰-120021001112=NaN","layer":1},{"info":"⫏≰112000⇣⩺⋵NaN=⫏≰-100122","layer":0}]}
{"id":109,"expression_no_base_symbol":"(($1653$⨔≚≋$4054$)⪘⨀)⇻⋧≁(⨵≀≌$4056$⨽$8719$)≦↸((⨙⪌($4057$⇩))∌(($1891$⊝)⊴$1898$⨿$1933$))","expression":"((⫏≰2021020⨔≚≋⫏≰12120011)⪘⨀)⇻⋧≁(⨵≀≌⫏≰12120020⨽⫏≰102221221)≦↸((⨙⪌(⫏≰12120021⇩))∌((⫏≰2121001⊝)⊴⫏≰2121022⨿⫏≰2122121))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":49388303,"operation_count":12,"complexity_ratio":4115691.9166666665,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1653,"base":3},"right_expr":{"type":"numeric_atoms","value":4054,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4056,"base":3},"right_expr":{"type":"numeric_atoms","value":8719,"base":3}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":4057,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1891,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1898,"base":3},"right_expr":{"type":"numeric_atoms","value":1933,"base":3}}}}},"used_operators":["RygbFNSyEJ","jCPkEVoL5K","aA7tF3KVD3","Z57zeUYC9z","srAu1WTS94","8HhzD0ZcuI","8cLx32lpNA","vEGLkm4Z2k","vRio1gEz1j","Nsiff2A1zJ","O6EZ0fifGK","abYXlopdE0"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1653","layer":4},{"info":"number node, value=4054","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=4054, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-20325","layer":2},{"info":"number node, value=4056","layer":4},{"info":"number node, value=8719","layer":4},{"info":"compute binary expreesion, left_input=4056, right_input=8719, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-49378251","layer":3},{"info":"compute unary expreesion, input=-49378251, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-20325, right_input=inf, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"number node, value=4057","layer":4},{"info":"compute unary expreesion, input=4057, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=4150","layer":3},{"info":"compute unary expreesion, input=4150, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=1891","layer":4},{"info":"compute unary expreesion, input=1891, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1891","layer":3},{"info":"number node, value=1898","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=1933, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=1891, right_input=-319, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2021020⨔≚≋⫏≰12120011)⪘⨀)⇻⋧≁(⨵≀≌⫏≰12120020⨽⫏≰102221221)≦↸((⨙⪌(⫏≰12120021⇩))∌((⫏≰2121001⊝)⊴⫏≰2121022⨿⫏≰2122121))=NaN","reverse_text":"NaN=((⫏≰2021020⨔≚≋⫏≰12120011)⪘⨀)⇻⋧≁(⨵≀≌⫏≰12120020⨽⫏≰102221221)≦↸((⨙⪌(⫏≰12120021⇩))∌((⫏≰2121001⊝)⊴⫏≰2121022⨿⫏≰2122121))","cot":[{"info":"⫏≰2021020⨔≚≋⫏≰12120011=⫏≰111112122","layer":3},{"info":"⫏≰111112122⪘⨀=⫏≰-1000212210","layer":2},{"info":"⫏≰12120020⨽⫏≰102221221=⫏≰-10102220200020010","layer":3},{"info":"⨵≀≌⫏≰-10102220200020010=Inf","layer":2},{"info":"⫏≰-1000212210⇻⋧≁Inf=NaN","layer":1},{"info":"⫏≰12120021⇩=⫏≰12200201","layer":3},{"info":"⨙⪌⫏≰12200201=⫏≰1012011","layer":2},{"info":"⫏≰2121001⊝=⫏≰2121001","layer":3},{"info":"⫏≰2121022⨿⫏≰2122121=⫏≰-102211","layer":3},{"info":"⫏≰2121001⊴⫏≰-102211=NaN","layer":2},{"info":"⫏≰1012011∌NaN=NaN","layer":1},{"info":"NaN≦↸NaN=NaN","layer":0}]}
{"id":110,"expression_no_base_symbol":"≀↧⇸(($2575$∼$1034$)∌$1811$∓⋝$1684$∙⊟(($1544$≋⫹)*(≱⇩⩕$3441$)))","expression":"≀↧⇸((⫏≰10112101∼⫏≰1102022)∌⫏≰2111002∓⋝⫏≰2022101∙⊟((⫏≰2010012≋⫹)*(≱⇩⩕⫏≰11201110)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":361,"operation_count":8,"complexity_ratio":45.125,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2575,"base":3},"right_expr":{"type":"numeric_atoms","value":1034,"base":3}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1811,"base":3},"right_expr":{"type":"numeric_atoms","value":1684,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1544,"base":3}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":3441,"base":3}}}}},"used_operators":["ljTHtUsqzn","SxTAKzQCrw","8cLx32lpNA","DyGG3AbaNP","PoHhknlbAi","9HNa5Wba9A","N41Kp7NANJ","3DZMoQKiUl"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"⫏≰2100112102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2575","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=1034, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1811","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=1684, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-67","layer":2},{"info":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3088","layer":3},{"info":"number node, value=3441","layer":4},{"info":"compute unary expreesion, input=3441, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-3088, right_input=113, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-348944","layer":2},{"info":"compute binary expreesion, left_input=-67, right_input=-348944, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=23158","layer":1},{"info":"compute unary expreesion, input=23158, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=46316","layer":0}],"base":3,"result_base":3,"text":"≀↧⇸((⫏≰10112101∼⫏≰1102022)∌⫏≰2111002∓⋝⫏≰2022101∙⊟((⫏≰2010012≋⫹)*(≱⇩⩕⫏≰11201110)))=⫏≰2100112102","reverse_text":"⫏≰2100112102=≀↧⇸((⫏≰10112101∼⫏≰1102022)∌⫏≰2111002∓⋝⫏≰2022101∙⊟((⫏≰2010012≋⫹)*(≱⇩⩕⫏≰11201110)))","cot":[{"info":"⫏≰10112101∼⫏≰1102022=NaN","layer":3},{"info":"⫏≰2111002∓⋝⫏≰2022101=⫏≰2111","layer":3},{"info":"NaN∌⫏≰2111=⫏≰-2111","layer":2},{"info":"⫏≰2010012≋⫹=⫏≰-11020101","layer":3},{"info":"≱⇩⩕⫏≰11201110=⫏≰11012","layer":3},{"info":"⫏≰-11020101*⫏≰11012=⫏≰-122201122212","layer":2},{"info":"⫏≰-2111∙⊟⫏≰-122201122212=⫏≰1011202201","layer":1},{"info":"≀↧⇸⫏≰1011202201=⫏≰2100112102","layer":0}]}
{"id":111,"expression_no_base_symbol":"((⇠$2956$)⋛($2980$⪔$2027$)⩠)⊝⪿⪼((⨞⊢$1791$⫉⨲⊜$3205$)⇪⋭)","expression":"((⇠⫏≰11001111)⋛(⫏≰11002101⪔⫏≰2210002)⩠)⊝⪿⪼((⨞⊢⫏≰2110100⫉⨲⊜⫏≰11101201)⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2500,"operation_count":8,"complexity_ratio":312.5,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2956,"base":3}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2980,"base":3},"right_expr":{"type":"numeric_atoms","value":2027,"base":3}}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1791,"base":3},"right_expr":{"type":"numeric_atoms","value":3205,"base":3}}}}},"used_operators":["3Oe9XWJUTD","sJAwomhLZr","YbUVn0Rbpy","18saOjeKKm","GjBEYRfMaF","Z8Yg6dlDSp","xUOZtlo3hN","WhqkvtTD3t"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj"],"result":"⫏≰120010111112022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2956","layer":4},{"info":"compute unary expreesion, input=2956, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2714","layer":3},{"info":"number node, value=2980","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=2027, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-2714, right_input=450, 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=-133791","layer":2},{"info":"compute unary expreesion, input=-133791, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=535373","layer":1},{"info":"number node, value=1791","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=3205, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=535373, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=8040527","layer":0}],"base":3,"result_base":3,"text":"((⇠⫏≰11001111)⋛(⫏≰11002101⪔⫏≰2210002)⩠)⊝⪿⪼((⨞⊢⫏≰2110100⫉⨲⊜⫏≰11101201)⇪⋭)=⫏≰120010111112022","reverse_text":"⫏≰120010111112022=((⇠⫏≰11001111)⋛(⫏≰11002101⪔⫏≰2210002)⩠)⊝⪿⪼((⨞⊢⫏≰2110100⫉⨲⊜⫏≰11101201)⇪⋭)","cot":[{"info":"⇠⫏≰11001111=⫏≰-10201112","layer":3},{"info":"⫏≰11002101⪔⫏≰2210002=⫏≰121200","layer":3},{"info":"⫏≰-10201112⋛⫏≰121200=⫏≰-20210112020","layer":2},{"info":"⫏≰-20210112020⩠=⫏≰1000012101122","layer":1},{"info":"⫏≰2110100⫉⨲⊜⫏≰11101201=⫏≰0","layer":3},{"info":"⨞⊢⫏≰0=⫏≰-20110","layer":2},{"info":"⫏≰-20110⇪⋭=NaN","layer":1},{"info":"⫏≰1000012101122⊝⪿⪼NaN=⫏≰120010111112022","layer":0}]}
{"id":112,"expression_no_base_symbol":"(($1893$⪁$2244$)⪊≅)⊝⪿⪼($1214$∠↢$2281$)⩖⊿(≪$8317$)⊋≦⊧($3821$⪥$1346$)⫁(≦∁$1081$)⨔⇊(($2090$≒∊$2194$)⪭$4587$⨸$1682$)","expression":"((⫏≰2121010⪁⫏≰10002010)⪊≅)⊝⪿⪼(⫏≰1122222∠↢⫏≰10010111)⩖⊿(≪⫏≰102102001)⊋≦⊧(⫏≰12020112⪥⫏≰1211212)⫁(≦∁⫏≰1111001)⨔⇊((⫏≰2212102≒∊⫏≰10000021)⪭⫏≰20021220⨸⫏≰2022022)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":62222481,"operation_count":14,"complexity_ratio":4444462.928571428,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1893,"base":3},"right_expr":{"type":"numeric_atoms","value":2244,"base":3}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1214,"base":3},"right_expr":{"type":"numeric_atoms","value":2281,"base":3}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":8317,"base":3}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3821,"base":3},"right_expr":{"type":"numeric_atoms","value":1346,"base":3}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1081,"base":3}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2090,"base":3},"right_expr":{"type":"numeric_atoms","value":2194,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4587,"base":3},"right_expr":{"type":"numeric_atoms","value":1682,"base":3}}}}},"used_operators":["oRDoc9rAEX","3Oe9XWJUTD","bjFbhXSADs","I7sXao9hZE","RZ5CV9rWsJ","KbjG8mgYpV","Qtd6bqUJcN","JclMnS0uGI","0ajvFaJAv0","QbnwKVWMIQ","9ICcGScMcE","j9kHMeSvPp","5KTvxBwnZo","KmoU8R5UQR"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","cHh1gJQ2o6","AHs5Up7iyr","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","COABgblf1C","xUOZtlo3hN","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1893","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=2244, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=nan","layer":2},{"info":"number node, value=1214","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=2281, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-35708","layer":3},{"info":"number node, value=8317","layer":4},{"info":"compute unary expreesion, input=8317, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=-35708, right_input=913, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=88","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=88, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":1},{"info":"number node, value=3821","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=1346, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19936","layer":3},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1081","layer":3},{"info":"compute binary expreesion, left_input=19936, right_input=1081, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=2090","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=2194, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1606","layer":3},{"info":"number node, value=4587","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=4587, right_input=1682, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9174","layer":3},{"info":"compute binary expreesion, left_input=-1606, right_input=9174, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=1432","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1432, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1432","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1432, 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":3,"result_base":3,"text":"((⫏≰2121010⪁⫏≰10002010)⪊≅)⊝⪿⪼(⫏≰1122222∠↢⫏≰10010111)⩖⊿(≪⫏≰102102001)⊋≦⊧(⫏≰12020112⪥⫏≰1211212)⫁(≦∁⫏≰1111001)⨔⇊((⫏≰2212102≒∊⫏≰10000021)⪭⫏≰20021220⨸⫏≰2022022)=NaN","reverse_text":"NaN=((⫏≰2121010⪁⫏≰10002010)⪊≅)⊝⪿⪼(⫏≰1122222∠↢⫏≰10010111)⩖⊿(≪⫏≰102102001)⊋≦⊧(⫏≰12020112⪥⫏≰1211212)⫁(≦∁⫏≰1111001)⨔⇊((⫏≰2212102≒∊⫏≰10000021)⪭⫏≰20021220⨸⫏≰2022022)","cot":[{"info":"⫏≰2121010⪁⫏≰10002010=NaN","layer":3},{"info":"NaN⪊≅=NaN","layer":2},{"info":"⫏≰1122222∠↢⫏≰10010111=⫏≰-1210222112","layer":3},{"info":"≪⫏≰102102001=⫏≰1020211","layer":3},{"info":"⫏≰-1210222112⩖⊿⫏≰1020211=⫏≰10021","layer":2},{"info":"NaN⊝⪿⪼⫏≰10021=NaN","layer":1},{"info":"⫏≰12020112⪥⫏≰1211212=⫏≰1000100101","layer":3},{"info":"≦∁⫏≰1111001=⫏≰1111001","layer":3},{"info":"⫏≰1000100101⫁⫏≰1111001=⫏≰12221","layer":2},{"info":"⫏≰2212102≒∊⫏≰10000021=⫏≰-2012111","layer":3},{"info":"⫏≰20021220⨸⫏≰2022022=⫏≰110120210","layer":3},{"info":"⫏≰-2012111⪭⫏≰110120210=⫏≰1222001","layer":2},{"info":"⫏≰12221⨔⇊⫏≰1222001=⫏≰1222001","layer":1},{"info":"NaN⊋≦⊧⫏≰1222001=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"((($1517$⩵∡$2276$)⫠↝⫳)≬⇓(⇐(↯⪼$5208$)))⩉⊫⨁","expression":"(((⫏≰2002012⩵∡⫏≰10010022)⫠↝⫳)≬⇓(⇐(↯⪼⫏≰21010220)))⩉⊫⨁","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":82782,"operation_count":6,"complexity_ratio":13797.0,"tree":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1517,"base":3},"right_expr":{"type":"numeric_atoms","value":2276,"base":3}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5208,"base":3}}}}},"used_operators":["7qqUquhhSb","jWTQ2TZYIH","8n5YIzOsVS","Y7wcNGrDQJ","nmZMaaE0Q9","8jW3W4yZS5"],"dependent_operators":["7j4O788W3g","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1517","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=2276, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-879","layer":3},{"info":"compute unary expreesion, input=-879, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-27505","layer":2},{"info":"number node, value=5208","layer":4},{"info":"compute unary expreesion, input=5208, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1616","layer":2},{"info":"compute binary expreesion, left_input=-27505, right_input=-1616, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=inf","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2002012⩵∡⫏≰10010022)⫠↝⫳)≬⇓(⇐(↯⪼⫏≰21010220)))⩉⊫⨁=Inf","reverse_text":"Inf=(((⫏≰2002012⩵∡⫏≰10010022)⫠↝⫳)≬⇓(⇐(↯⪼⫏≰21010220)))⩉⊫⨁","cot":[{"info":"⫏≰2002012⩵∡⫏≰10010022=⫏≰-1012120","layer":3},{"info":"⫏≰-1012120⫠↝⫳=⫏≰-1101201201","layer":2},{"info":"↯⪼⫏≰21010220=⫏≰-210","layer":3},{"info":"⇐⫏≰-210=⫏≰-2012212","layer":2},{"info":"⫏≰-1101201201≬⇓⫏≰-2012212=Inf","layer":1},{"info":"Inf⩉⊫⨁=Inf","layer":0}]}
{"id":114,"expression_no_base_symbol":"(((↑$2402$)↺$5101$∌↝$2291$)⋝⋈⪟($2036$∴$1356$⪇≇⋚$4178$⨐$1945$))⫘(↽≂($1004$⊋$1593$)⩁⩘$1206$⨿$1658$)","expression":"(((↑⫏≰10021222)↺⫏≰20222221∌↝⫏≰10010212)⋝⋈⪟(⫏≰2210102∴⫏≰1212020⪇≇⋚⫏≰12201202⨐⫏≰2200001))⫘(↽≂(⫏≰1101012⊋⫏≰2012000)⩁⩘⫏≰1122200⨿⫏≰2021102)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1534,"operation_count":12,"complexity_ratio":127.83333333333333,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2402,"base":3}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5101,"base":3},"right_expr":{"type":"numeric_atoms","value":2291,"base":3}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2036,"base":3},"right_expr":{"type":"numeric_atoms","value":1356,"base":3}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4178,"base":3},"right_expr":{"type":"numeric_atoms","value":1945,"base":3}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":1593,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1206,"base":3},"right_expr":{"type":"numeric_atoms","value":1658,"base":3}}}}},"used_operators":["48vC8HMD2b","2DDjHMKMc0","7j4O788W3g","tR7O2zTn5j","9Isq31Ruls","3sJ7IOPOlU","hrf7POJlIJ","Noe24qw2ks","u6S6b8DprG","gub5Cegaqo","W4tP9CfskL","abYXlopdE0"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2402","layer":4},{"info":"compute unary expreesion, input=2402, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=5101","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=5101, right_input=2291, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"number node, value=2036","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=1356, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5720","layer":3},{"info":"number node, value=4178","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=4178, right_input=1945, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8356","layer":3},{"info":"compute binary expreesion, left_input=5720, right_input=-8356, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1593, 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=-6655000","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=1658, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-6655000, right_input=-319, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-328","layer":2},{"info":"compute unary expreesion, input=-328, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=656","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=656, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((↑⫏≰10021222)↺⫏≰20222221∌↝⫏≰10010212)⋝⋈⪟(⫏≰2210102∴⫏≰1212020⪇≇⋚⫏≰12201202⨐⫏≰2200001))⫘(↽≂(⫏≰1101012⊋⫏≰2012000)⩁⩘⫏≰1122200⨿⫏≰2021102)=NaN","reverse_text":"NaN=(((↑⫏≰10021222)↺⫏≰20222221∌↝⫏≰10010212)⋝⋈⪟(⫏≰2210102∴⫏≰1212020⪇≇⋚⫏≰12201202⨐⫏≰2200001))⫘(↽≂(⫏≰1101012⊋⫏≰2012000)⩁⩘⫏≰1122200⨿⫏≰2021102)","cot":[{"info":"↑⫏≰10021222=⫏≰21010","layer":3},{"info":"⫏≰20222221∌↝⫏≰10010212=⫏≰0","layer":3},{"info":"⫏≰21010↺⫏≰0=⫏≰0","layer":2},{"info":"⫏≰2210102∴⫏≰1212020=⫏≰21211212","layer":3},{"info":"⫏≰12201202⨐⫏≰2200001=⫏≰-102110111","layer":3},{"info":"⫏≰21211212⪇≇⋚⫏≰-102110111=⫏≰0","layer":2},{"info":"⫏≰0⋝⋈⪟⫏≰0=⫏≰0","layer":1},{"info":"⫏≰1101012⊋⫏≰2012000=⫏≰-110112002221111","layer":3},{"info":"⫏≰1122200⨿⫏≰2021102=⫏≰-102211","layer":3},{"info":"⫏≰-110112002221111⩁⩘⫏≰-102211=⫏≰-110011","layer":2},{"info":"↽≂⫏≰-110011=⫏≰220022","layer":1},{"info":"⫏≰0⫘⫏≰220022=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"(($3731$⨎$1012$)→⨶⪴($6365$⇪⋭))⪔⊥($3228$⪒⊣⊆$7094$⋻⩜⩜(∂$2161$))⫁⪎(($1949$⩘$6685$)⩘$3018$⋥⋵⩄$4449$)⫯⪬∳($1165$⩖⊿$2393$⨐⩸⫘$3195$∋$5008$)","expression":"((⫏≰12010012⨎⫏≰1101111)→⨶⪴(⫏≰22201202⇪⋭))⪔⊥(⫏≰11102120⪒⊣⊆⫏≰100201202⋻⩜⩜(∂⫏≰2222001))⫁⪎((⫏≰2200012⩘⫏≰100011121)⩘⫏≰11010210⋥⋵⩄⫏≰20002210)⫯⪬∳(⫏≰1121011⩖⊿⫏≰10021122⨐⩸⫘⫏≰11101100∋⫏≰20212111)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":428,"operation_count":15,"complexity_ratio":28.533333333333335,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3731,"base":3},"right_expr":{"type":"numeric_atoms","value":1012,"base":3}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":6365,"base":3}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3228,"base":3},"right_expr":{"type":"numeric_atoms","value":7094,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2161,"base":3}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1949,"base":3},"right_expr":{"type":"numeric_atoms","value":6685,"base":3}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3018,"base":3},"right_expr":{"type":"numeric_atoms","value":4449,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1165,"base":3},"right_expr":{"type":"numeric_atoms","value":2393,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3195,"base":3},"right_expr":{"type":"numeric_atoms","value":5008,"base":3}}}}},"used_operators":["xRrnTEsQ6j","HJ9erzHUuu","bF6eod5Gvf","rJVOvQCfKK","Z8Yg6dlDSp","oDCm7WA9JY","eRqsBgTDFp","Uaa54Peajs","d7ASUq0ydm","cHh1gJQ2o6","7t3wd0Fuz7","fu6greOZ01","RZ5CV9rWsJ","ukq6epAj5P"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","sdazOOVcIp","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","3ViojmjbAp","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3731","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=3731, right_input=1012, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1012","layer":3},{"info":"number node, value=6365","layer":4},{"info":"compute unary expreesion, input=6365, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1012, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"number node, value=3228","layer":4},{"info":"number node, value=7094","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=7094, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6456","layer":3},{"info":"number node, value=2161","layer":4},{"info":"compute unary expreesion, input=2161, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6456, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=12912","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12912, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=1949","layer":4},{"info":"number node, value=6685","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=6685, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3018","layer":4},{"info":"number node, value=4449","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=4449, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=113, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1165","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=2393, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=14402","layer":3},{"info":"number node, value=3195","layer":4},{"info":"number node, value=5008","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=5008, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10489044","layer":3},{"info":"compute binary expreesion, left_input=14402, right_input=10489044, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=547","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=547, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12010012⨎⫏≰1101111)→⨶⪴(⫏≰22201202⇪⋭))⪔⊥(⫏≰11102120⪒⊣⊆⫏≰100201202⋻⩜⩜(∂⫏≰2222001))⫁⪎((⫏≰2200012⩘⫏≰100011121)⩘⫏≰11010210⋥⋵⩄⫏≰20002210)⫯⪬∳(⫏≰1121011⩖⊿⫏≰10021122⨐⩸⫘⫏≰11101100∋⫏≰20212111)=NaN","reverse_text":"NaN=((⫏≰12010012⨎⫏≰1101111)→⨶⪴(⫏≰22201202⇪⋭))⪔⊥(⫏≰11102120⪒⊣⊆⫏≰100201202⋻⩜⩜(∂⫏≰2222001))⫁⪎((⫏≰2200012⩘⫏≰100011121)⩘⫏≰11010210⋥⋵⩄⫏≰20002210)⫯⪬∳(⫏≰1121011⩖⊿⫏≰10021122⨐⩸⫘⫏≰11101100∋⫏≰20212111)","cot":[{"info":"⫏≰12010012⨎⫏≰1101111=⫏≰1101111","layer":3},{"info":"⫏≰22201202⇪⋭=NaN","layer":3},{"info":"⫏≰1101111→⨶⪴NaN=NaN","layer":2},{"info":"⫏≰11102120⪒⊣⊆⫏≰100201202=⫏≰22212010","layer":3},{"info":"∂⫏≰2222001=NaN","layer":3},{"info":"⫏≰22212010⋻⩜⩜NaN=⫏≰122201020","layer":2},{"info":"NaN⪔⊥⫏≰122201020=NaN","layer":1},{"info":"⫏≰2200012⩘⫏≰100011121=⫏≰12221","layer":3},{"info":"⫏≰11010210⋥⋵⩄⫏≰20002210=⫏≰11012","layer":3},{"info":"⫏≰12221⩘⫏≰11012=⫏≰12221","layer":2},{"info":"⫏≰1121011⩖⊿⫏≰10021122=⫏≰201202102","layer":3},{"info":"⫏≰11101100∋⫏≰20212111=⫏≰201201220021010","layer":3},{"info":"⫏≰201202102⨐⩸⫘⫏≰201201220021010=NaN","layer":2},{"info":"⫏≰12221⫯⪬∳NaN=⫏≰202021","layer":1},{"info":"NaN⫁⪎⫏≰202021=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"⨣⨃⇪(↘$1965$)↞⋁($1359$⪛$3171$)↹⊜($7097$∠↢$3117$)⪔⊥($2416$⩱)","expression":"⨣⨃⇪(↘⫏≰2200210)↞⋁(⫏≰1212100⪛⫏≰11100110)↹⊜(⫏≰100201212∠↢⫏≰11021110)⪔⊥(⫏≰10022111⩱)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":261,"operation_count":8,"complexity_ratio":32.625,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1965,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1359,"base":3},"right_expr":{"type":"numeric_atoms","value":3171,"base":3}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":7097,"base":3},"right_expr":{"type":"numeric_atoms","value":3117,"base":3}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":2416,"base":3}}}}},"used_operators":["AcOhelriW5","9bazX3JMtO","RqrPlJkxDo","LdNpr8hQHL","uFcxV4UQCh","HJ9erzHUuu","KbjG8mgYpV","uyq1hVkAcj"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","uFcxV4UQCh","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C"],"result":"⫏≰1221001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1965","layer":4},{"info":"compute unary expreesion, input=1965, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=5","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=3171, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1359","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=1359, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=7097","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=7097, right_input=3117, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-70944","layer":3},{"info":"number node, value=2416","layer":4},{"info":"compute unary expreesion, input=2416, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-14746","layer":3},{"info":"compute binary expreesion, left_input=-70944, right_input=-14746, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=71743","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=71743, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', 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":3,"result_base":3,"text":"⨣⨃⇪(↘⫏≰2200210)↞⋁(⫏≰1212100⪛⫏≰11100110)↹⊜(⫏≰100201212∠↢⫏≰11021110)⪔⊥(⫏≰10022111⩱)=⫏≰1221001","reverse_text":"⫏≰1221001=⨣⨃⇪(↘⫏≰2200210)↞⋁(⫏≰1212100⪛⫏≰11100110)↹⊜(⫏≰100201212∠↢⫏≰11021110)⪔⊥(⫏≰10022111⩱)","cot":[{"info":"↘⫏≰2200210=⫏≰12","layer":3},{"info":"⫏≰1212100⪛⫏≰11100110=⫏≰1212100","layer":3},{"info":"⫏≰12↞⋁⫏≰1212100=NaN","layer":2},{"info":"⫏≰100201212∠↢⫏≰11021110=⫏≰-10121022120","layer":3},{"info":"⫏≰10022111⩱=⫏≰-202020011","layer":3},{"info":"⫏≰-10121022120⪔⊥⫏≰-202020011=⫏≰10122102011","layer":2},{"info":"NaN↹⊜⫏≰10122102011=NaN","layer":1},{"info":"⨣⨃⇪NaN=⫏≰1221001","layer":0}]}
{"id":117,"expression_no_base_symbol":"(⪫⨮⊛(($9241$⋓$4968$)⊚⫡⫭))⨑⩅≇((($5249$⪒$4564$)⇋≉)⨔≚≋($2055$∲⫓$3989$)⪪($3102$⪍↜⋙$4115$))","expression":"(⪫⨮⊛((⫏≰110200021⋓⫏≰20211000)⊚⫡⫭))⨑⩅≇(((⫏≰21012102⪒⫏≰20021001)⇋≉)⨔≚≋(⫏≰2211010∲⫓⫏≰12110202)⪪(⫏≰11020220⪍↜⋙⫏≰12122102))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":313036,"operation_count":10,"complexity_ratio":31303.6,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":9241,"base":3},"right_expr":{"type":"numeric_atoms","value":4968,"base":3}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5249,"base":3},"right_expr":{"type":"numeric_atoms","value":4564,"base":3}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2055,"base":3},"right_expr":{"type":"numeric_atoms","value":3989,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3102,"base":3},"right_expr":{"type":"numeric_atoms","value":4115,"base":3}}}}},"used_operators":["h92wMvzauj","w5FWba1tyO","SpZWOsLKZJ","T2fj7uvVaJ","Z57zeUYC9z","XIabStNQrY","f6k1SAg4EE","xD69zh8xqp","i8ToyICDmI","L05ObWFQCd"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⫏≰-10210220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9241","layer":4},{"info":"number node, value=4968","layer":4},{"info":"compute binary expreesion, left_input=9241, right_input=4968, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=926","layer":2},{"info":"compute unary expreesion, input=926, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=926","layer":1},{"info":"number node, value=5249","layer":4},{"info":"number node, value=4564","layer":4},{"info":"compute binary expreesion, left_input=5249, right_input=4564, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9813","layer":3},{"info":"compute unary expreesion, input=-9813, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-19724","layer":2},{"info":"number node, value=2055","layer":4},{"info":"number node, value=3989","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=3989, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3102","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=4115, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-24523","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-24523, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-19724, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=312824","layer":1},{"info":"compute binary expreesion, left_input=926, right_input=312824, 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=-2778","layer":0}],"base":3,"result_base":3,"text":"(⪫⨮⊛((⫏≰110200021⋓⫏≰20211000)⊚⫡⫭))⨑⩅≇(((⫏≰21012102⪒⫏≰20021001)⇋≉)⨔≚≋(⫏≰2211010∲⫓⫏≰12110202)⪪(⫏≰11020220⪍↜⋙⫏≰12122102))=⫏≰-10210220","reverse_text":"⫏≰-10210220=(⪫⨮⊛((⫏≰110200021⋓⫏≰20211000)⊚⫡⫭))⨑⩅≇(((⫏≰21012102⪒⫏≰20021001)⇋≉)⨔≚≋(⫏≰2211010∲⫓⫏≰12110202)⪪(⫏≰11020220⪍↜⋙⫏≰12122102))","cot":[{"info":"⫏≰110200021⋓⫏≰20211000=⫏≰0","layer":3},{"info":"⫏≰0⊚⫡⫭=⫏≰1021022","layer":2},{"info":"⪫⨮⊛⫏≰1021022=⫏≰1021022","layer":1},{"info":"⫏≰21012102⪒⫏≰20021001=⫏≰-111110110","layer":3},{"info":"⫏≰-111110110⇋≉=⫏≰-1000001112","layer":2},{"info":"⫏≰2211010∲⫓⫏≰12110202=⫏≰0","layer":3},{"info":"⫏≰11020220⪍↜⋙⫏≰12122102=⫏≰-1020122021","layer":3},{"info":"⫏≰0⪪⫏≰-1020122021=⫏≰0","layer":2},{"info":"⫏≰-1000001112⨔≚≋⫏≰0=⫏≰120220010002","layer":1},{"info":"⫏≰1021022⨑⩅≇⫏≰120220010002=⫏≰-10210220","layer":0}]}
{"id":118,"expression_no_base_symbol":"(((⇁⨣⪵$4691$)⊭↱$1197$⪭$1548$)⪷)⨔⇊(⇉-⫰$4259$⨸$1050$⩖⊿($1029$⇩))","expression":"(((⇁⨣⪵⫏≰20102202)⊭↱⫏≰1122100⪭⫏≰2010100)⪷)⨔⇊(⇉-⫰⫏≰12211202⨸⫏≰1102220⩖⊿(⫏≰1102010⇩))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4429,"operation_count":9,"complexity_ratio":492.1111111111111,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4691,"base":3}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1197,"base":3},"right_expr":{"type":"numeric_atoms","value":1548,"base":3}}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4259,"base":3},"right_expr":{"type":"numeric_atoms","value":1050,"base":3}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1029,"base":3}}}}},"used_operators":["JclMnS0uGI","Qctrpi3WzA","COABgblf1C","inkyxCbjAn","j9kHMeSvPp","IGFM8TAlm9","RZ5CV9rWsJ","KmoU8R5UQR","vRio1gEz1j"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Nsiff2A1zJ","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","COABgblf1C","xUOZtlo3hN","eH2TOUuTDT","eewbuw0ToL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe"],"result":"⫏≰202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4691","layer":4},{"info":"compute unary expreesion, input=4691, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1548, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"number node, value=4259","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=1050, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8518","layer":3},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1122","layer":3},{"info":"compute binary expreesion, left_input=8518, right_input=1122, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-25178","layer":2},{"info":"compute unary expreesion, input=-25178, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=20","layer":0}],"base":3,"result_base":3,"text":"(((⇁⨣⪵⫏≰20102202)⊭↱⫏≰1122100⪭⫏≰2010100)⪷)⨔⇊(⇉-⫰⫏≰12211202⨸⫏≰1102220⩖⊿(⫏≰1102010⇩))=⫏≰202","reverse_text":"⫏≰202=(((⇁⨣⪵⫏≰20102202)⊭↱⫏≰1122100⪭⫏≰2010100)⪷)⨔⇊(⇉-⫰⫏≰12211202⨸⫏≰1102220⩖⊿(⫏≰1102010⇩))","cot":[{"info":"⇁⨣⪵⫏≰20102202=NaN","layer":3},{"info":"⫏≰1122100⪭⫏≰2010100=⫏≰12","layer":3},{"info":"NaN⊭↱⫏≰12=NaN","layer":2},{"info":"NaN⪷=NaN","layer":1},{"info":"⫏≰12211202⨸⫏≰1102220=⫏≰102200111","layer":3},{"info":"⫏≰1102010⇩=⫏≰1112120","layer":3},{"info":"⫏≰102200111⩖⊿⫏≰1112120=⫏≰-1021112112","layer":2},{"info":"⇉-⫰⫏≰-1021112112=⫏≰202","layer":1},{"info":"NaN⨔⇊⫏≰202=⫏≰202","layer":0}]}
{"id":119,"expression_no_base_symbol":"((⩰$2965$)⩌⋺($1110$⇼⇔∾$4735$))⨥⫆(($8057$⫚↹⊑$4990$)⩨(≀↧⇸$5293$))⋛(($1079$/$1977$)≃$1216$⩧⪆$3164$⩚⊴⇥($6114$∳⫺$2642$⨵⪆$3824$⫢⨠$5950$))","expression":"((⩰⫏≰11001211)⩌⋺(⫏≰1112010⇼⇔∾⫏≰20111101))⨥⫆((⫏≰102001102⫚↹⊑⫏≰20211211)⩨(≀↧⇸⫏≰21021001))⋛((⫏≰1110222/⫏≰2201020)≃⫏≰1200001⩧⪆⫏≰11100012⩚⊴⇥(⫏≰22101110∳⫺⫏≰10121212⨵⪆⫏≰12020122⫢⨠⫏≰22011101))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":273,"operation_count":15,"complexity_ratio":18.2,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2965,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1110,"base":3},"right_expr":{"type":"numeric_atoms","value":4735,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":8057,"base":3},"right_expr":{"type":"numeric_atoms","value":4990,"base":3}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":5293,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1079,"base":3},"right_expr":{"type":"numeric_atoms","value":1977,"base":3}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1216,"base":3},"right_expr":{"type":"numeric_atoms","value":3164,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":6114,"base":3},"right_expr":{"type":"numeric_atoms","value":2642,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3824,"base":3},"right_expr":{"type":"numeric_atoms","value":5950,"base":3}}}}},"used_operators":["YbUVn0Rbpy","yXekIHxTD4","g7Hmc5v1ko","WkeUrDK8WX","tifHPKVTfV","2DlMacCsIx","dfKe02y8D2","ljTHtUsqzn","NTOWxs364D","YbVcJGFEVW","XhwjNDsVaA","Ikt5ks8PT7","2DQ55sFlQl","AzXXKTstlj","xlXykHWxX1"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⫏≰-1221012010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2965","layer":4},{"info":"compute unary expreesion, input=2965, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3965","layer":3},{"info":"number node, value=1110","layer":4},{"info":"number node, value=4735","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=4735, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3625","layer":3},{"info":"compute binary expreesion, left_input=-3965, right_input=3625, 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=219","layer":2},{"info":"number node, value=8057","layer":4},{"info":"number node, value=4990","layer":4},{"info":"compute binary expreesion, left_input=8057, right_input=4990, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=5293","layer":4},{"info":"compute unary expreesion, input=5293, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=10586","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=10586, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=72","layer":2},{"info":"compute binary expreesion, left_input=219, right_input=72, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":1},{"info":"number node, value=1079","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=1977, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=3164","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=3164, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3164","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3164, 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=12616","layer":2},{"info":"number node, value=6114","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=6114, right_input=2642, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3824","layer":4},{"info":"number node, value=5950","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=5950, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=12616, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12897","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-12897, 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=-38046","layer":0}],"base":3,"result_base":3,"text":"((⩰⫏≰11001211)⩌⋺(⫏≰1112010⇼⇔∾⫏≰20111101))⨥⫆((⫏≰102001102⫚↹⊑⫏≰20211211)⩨(≀↧⇸⫏≰21021001))⋛((⫏≰1110222/⫏≰2201020)≃⫏≰1200001⩧⪆⫏≰11100012⩚⊴⇥(⫏≰22101110∳⫺⫏≰10121212⨵⪆⫏≰12020122⫢⨠⫏≰22011101))=⫏≰-1221012010","reverse_text":"⫏≰-1221012010=((⩰⫏≰11001211)⩌⋺(⫏≰1112010⇼⇔∾⫏≰20111101))⨥⫆((⫏≰102001102⫚↹⊑⫏≰20211211)⩨(≀↧⇸⫏≰21021001))⋛((⫏≰1110222/⫏≰2201020)≃⫏≰1200001⩧⪆⫏≰11100012⩚⊴⇥(⫏≰22101110∳⫺⫏≰10121212⨵⪆⫏≰12020122⫢⨠⫏≰22011101))","cot":[{"info":"⩰⫏≰11001211=⫏≰-12102212","layer":3},{"info":"⫏≰1112010⇼⇔∾⫏≰20111101=⫏≰11222021","layer":3},{"info":"⫏≰-12102212⩌⋺⫏≰11222021=⫏≰22010","layer":2},{"info":"⫏≰102001102⫚↹⊑⫏≰20211211=⫏≰-121120","layer":3},{"info":"≀↧⇸⫏≰21021001=⫏≰112112002","layer":3},{"info":"⫏≰-121120⩨⫏≰112112002=⫏≰2200","layer":2},{"info":"⫏≰22010⨥⫆⫏≰2200=⫏≰0","layer":1},{"info":"⫏≰1110222/⫏≰2201020=⫏≰0","layer":3},{"info":"⫏≰1200001⩧⪆⫏≰11100012=⫏≰-11100012","layer":3},{"info":"⫏≰0≃⫏≰-11100012=⫏≰122022021","layer":2},{"info":"⫏≰22101110∳⫺⫏≰10121212=⫏≰-100122","layer":3},{"info":"⫏≰12020122⫢⨠⫏≰22011101=⫏≰12221","layer":3},{"info":"⫏≰-100122⨵⪆⫏≰12221=⫏≰12221","layer":2},{"info":"⫏≰122022021⩚⊴⇥⫏≰12221=⫏≰-122200200","layer":1},{"info":"⫏≰0⋛⫏≰-122200200=⫏≰-1221012010","layer":0}]}
{"id":120,"expression_no_base_symbol":"($3407$⊲⩕⊾$1230$⨸⪁$1024$≳⇉$1805$)⨸($2502$⫒⫫$4283$)⪃⊛⇣($2227$⫸⇳$2231$)⨳⩥⨓(⩏⊷≩($1926$%$1893$)⋥≓≎$1095$∝$3914$)","expression":"(⫏≰11200012⊲⩕⊾⫏≰1200120⨸⪁⫏≰1101221≳⇉⫏≰2110212)⨸(⫏≰10102200⫒⫫⫏≰12212122)⪃⊛⇣(⫏≰10001111⫸⇳⫏≰10001122)⨳⩥⨓(⩏⊷≩(⫏≰2122100%⫏≰2121010)⋥≓≎⫏≰1111120∝⫏≰12100222)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":55574508,"operation_count":12,"complexity_ratio":4631209.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3407,"base":3},"right_expr":{"type":"numeric_atoms","value":1230,"base":3}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1024,"base":3},"right_expr":{"type":"numeric_atoms","value":1805,"base":3}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2502,"base":3},"right_expr":{"type":"numeric_atoms","value":4283,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2227,"base":3},"right_expr":{"type":"numeric_atoms","value":2231,"base":3}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1926,"base":3},"right_expr":{"type":"numeric_atoms","value":1893,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1095,"base":3},"right_expr":{"type":"numeric_atoms","value":3914,"base":3}}}}},"used_operators":["nCS4ZIUYfx","KmoU8R5UQR","g55IO6H4Gj","DmTXOeWf9t","V0kx6qeWkN","rrgAzCduG9","6Ko8hGgeMq","gx7XJ7hdpj","uOZ1tnYMDE","Qy55tPpLXF","k8jYdgA6NY","cTDWOvIxvz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","23Mk6UjR3U","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3407","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=1230, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-63442","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1805, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-63442, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2502","layer":4},{"info":"number node, value=4283","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=4283, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2227","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=2231, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"number node, value=1926","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=1893, op_id = k8jYdgA6NY binary_op_definition= 'None', output=33","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=3914","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=3914, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1100","layer":3},{"info":"compute binary expreesion, left_input=33, right_input=1100, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2200","layer":2},{"info":"compute unary expreesion, input=2200, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4099","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4099, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11200012⊲⩕⊾⫏≰1200120⨸⪁⫏≰1101221≳⇉⫏≰2110212)⨸(⫏≰10102200⫒⫫⫏≰12212122)⪃⊛⇣(⫏≰10001111⫸⇳⫏≰10001122)⨳⩥⨓(⩏⊷≩(⫏≰2122100%⫏≰2121010)⋥≓≎⫏≰1111120∝⫏≰12100222)=NaN","reverse_text":"NaN=(⫏≰11200012⊲⩕⊾⫏≰1200120⨸⪁⫏≰1101221≳⇉⫏≰2110212)⨸(⫏≰10102200⫒⫫⫏≰12212122)⪃⊛⇣(⫏≰10001111⫸⇳⫏≰10001122)⨳⩥⨓(⩏⊷≩(⫏≰2122100%⫏≰2121010)⋥≓≎⫏≰1111120∝⫏≰12100222)","cot":[{"info":"⫏≰11200012⊲⩕⊾⫏≰1200120=⫏≰-10020000201","layer":3},{"info":"⫏≰1101221≳⇉⫏≰2110212=NaN","layer":3},{"info":"⫏≰-10020000201⨸⪁NaN=NaN","layer":2},{"info":"⫏≰10102200⫒⫫⫏≰12212122=NaN","layer":3},{"info":"⫏≰10001111⫸⇳⫏≰10001122=⫏≰0","layer":3},{"info":"NaN⪃⊛⇣⫏≰0=⫏≰1200201","layer":2},{"info":"NaN⨸⫏≰1200201=NaN","layer":1},{"info":"⫏≰2122100%⫏≰2121010=⫏≰1020","layer":3},{"info":"⫏≰1111120∝⫏≰12100222=⫏≰1111202","layer":3},{"info":"⫏≰1020⋥≓≎⫏≰1111202=⫏≰10000111","layer":2},{"info":"⩏⊷≩⫏≰10000111=⫏≰12121211","layer":1},{"info":"NaN⨳⩥⨓⫏≰12121211=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"((⨙⪌$1224$)⊔(⪓⩚$2261$)⨰($6492$⪁$3205$)⋾⨃∁$1224$⋕⪉⪜$1165$)⪍↜⋙(⪛⨧(↯⪼$4114$))⩇∃⫛((⩒∊$4584$)⪠⩆⊳)","expression":"((⨙⪌⫏≰1200100)⊔(⪓⩚⫏≰10002202)⨰(⫏≰22220110⪁⫏≰11101201)⋾⨃∁⫏≰1200100⋕⪉⪜⫏≰1121011)⪍↜⋙(⪛⨧(↯⪼⫏≰12122101))⩇∃⫛((⩒∊⫏≰20021210)⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":124814162,"operation_count":13,"complexity_ratio":9601089.384615384,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1224,"base":3}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2261,"base":3}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":6492,"base":3},"right_expr":{"type":"numeric_atoms","value":3205,"base":3}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1224,"base":3},"right_expr":{"type":"numeric_atoms","value":1165,"base":3}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4114,"base":3}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4584,"base":3}}}}},"used_operators":["L05ObWFQCd","eewbuw0ToL","E4l6HwMY31","vEGLkm4Z2k","u0R0Locfp2","212REbPD9h","I7sXao9hZE","z6LnFrNh4i","1aApVXNlOP","6NJAcO2OWT","8jW3W4yZS5","JLbD19bQDL","qazvmhNBbN"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"⫏≰1000100100020022220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=2261","layer":4},{"info":"compute unary expreesion, input=2261, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=426, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=1466","layer":2},{"info":"number node, value=6492","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=6492, right_input=3205, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1165, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=78478322","layer":2},{"info":"compute binary expreesion, left_input=1466, right_input=78478322, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-78476846","layer":1},{"info":"number node, value=4114","layer":4},{"info":"compute unary expreesion, input=4114, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1359","layer":2},{"info":"number node, value=4584","layer":4},{"info":"compute unary expreesion, input=4584, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=8411","layer":3},{"info":"compute unary expreesion, input=8411, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1359, right_input=0, 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=-886","layer":1},{"info":"compute binary expreesion, left_input=-78476846, right_input=-886, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=392385219","layer":0}],"base":3,"result_base":3,"text":"((⨙⪌⫏≰1200100)⊔(⪓⩚⫏≰10002202)⨰(⫏≰22220110⪁⫏≰11101201)⋾⨃∁⫏≰1200100⋕⪉⪜⫏≰1121011)⪍↜⋙(⪛⨧(↯⪼⫏≰12122101))⩇∃⫛((⩒∊⫏≰20021210)⪠⩆⊳)=⫏≰1000100100020022220","reverse_text":"⫏≰1000100100020022220=((⨙⪌⫏≰1200100)⊔(⪓⩚⫏≰10002202)⨰(⫏≰22220110⪁⫏≰11101201)⋾⨃∁⫏≰1200100⋕⪉⪜⫏≰1121011)⪍↜⋙(⪛⨧(↯⪼⫏≰12122101))⩇∃⫛((⩒∊⫏≰20021210)⪠⩆⊳)","cot":[{"info":"⨙⪌⫏≰1200100=⫏≰1012011","layer":3},{"info":"⪓⩚⫏≰10002202=⫏≰120210","layer":3},{"info":"⫏≰1012011⊔⫏≰120210=⫏≰2000022","layer":2},{"info":"⫏≰22220110⪁⫏≰11101201=NaN","layer":3},{"info":"⫏≰1200100⋕⪉⪜⫏≰1121011=⫏≰10211210","layer":3},{"info":"NaN⋾⨃∁⫏≰10211210=⫏≰12110200010000112","layer":2},{"info":"⫏≰2000022⨰⫏≰12110200010000112=⫏≰-12110200000222212","layer":1},{"info":"↯⪼⫏≰12122101=⫏≰-210","layer":3},{"info":"⪛⨧⫏≰-210=⫏≰1212100","layer":2},{"info":"⩒∊⫏≰20021210=⫏≰102112112","layer":3},{"info":"⫏≰102112112⪠⩆⊳=⫏≰0","layer":2},{"info":"⫏≰1212100⩇∃⫛⫏≰0=⫏≰-1012211","layer":1},{"info":"⫏≰-12110200000222212⪍↜⋙⫏≰-1012211=⫏≰1000100100020022220","layer":0}]}
{"id":122,"expression_no_base_symbol":"(⫛⫱⨽($6239$→⨶⪴$2359$≒∊(⨞⊢$2333$)))⪚((∤(⫖→$1633$))⨒(⨩∲⋌($2811$↸$1266$)))","expression":"(⫛⫱⨽(⫏≰22120002→⨶⪴⫏≰10020101≒∊(⨞⊢⫏≰10012102)))⪚((∤(⫖→⫏≰2020111))⨒(⨩∲⋌(⫏≰10212010↸⫏≰1201220)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4594,"operation_count":10,"complexity_ratio":459.4,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6239,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2333,"base":3}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1633,"base":3}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2811,"base":3},"right_expr":{"type":"numeric_atoms","value":1266,"base":3}}}}},"used_operators":["HrjLwUk87U","DlLNRPXxWL","5KTvxBwnZo","bF6eod5Gvf","xUOZtlo3hN","y75s1iXyHd","k2HlF1dBQh","U4ylXWHChL","aSik1wnThz","1eCjFl0mb9"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rGHVDoGpnC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⫏≰-111021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6239","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=6239, right_input=2359, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7077","layer":3},{"info":"number node, value=2333","layer":4},{"info":"compute unary expreesion, input=2333, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2507","layer":3},{"info":"compute binary expreesion, left_input=-7077, right_input=-2507, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=7561","layer":2},{"info":"compute unary expreesion, input=7561, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1633","layer":4},{"info":"compute unary expreesion, input=1633, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=2811","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2811, right_input=1266, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2811","layer":3},{"info":"compute unary expreesion, input=2811, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3334","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=-3334, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-358","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽(⫏≰22120002→⨶⪴⫏≰10020101≒∊(⨞⊢⫏≰10012102)))⪚((∤(⫖→⫏≰2020111))⨒(⨩∲⋌(⫏≰10212010↸⫏≰1201220)))=⫏≰-111021","reverse_text":"⫏≰-111021=(⫛⫱⨽(⫏≰22120002→⨶⪴⫏≰10020101≒∊(⨞⊢⫏≰10012102)))⪚((∤(⫖→⫏≰2020111))⨒(⨩∲⋌(⫏≰10212010↸⫏≰1201220)))","cot":[{"info":"⫏≰22120002→⨶⪴⫏≰10020101=⫏≰-100201010","layer":3},{"info":"⨞⊢⫏≰10012102=⫏≰-10102212","layer":3},{"info":"⫏≰-100201010≒∊⫏≰-10102212=⫏≰101101001","layer":2},{"info":"⫛⫱⨽⫏≰101101001=⫏≰0","layer":1},{"info":"⫖→⫏≰2020111=⫏≰20120","layer":3},{"info":"∤⫏≰20120=⫏≰100","layer":2},{"info":"⫏≰10212010↸⫏≰1201220=⫏≰10212010","layer":3},{"info":"⨩∲⋌⫏≰10212010=⫏≰-11120111","layer":2},{"info":"⫏≰100⨒⫏≰-11120111=⫏≰1","layer":1},{"info":"⫏≰0⪚⫏≰1=⫏≰-111021","layer":0}]}
{"id":123,"expression_no_base_symbol":"(($1100$⊴$3291$)⊉↱≁($2845$⊉↱≁$5860$)≫≃)⨳⩥⨓((⩒∊(⪡⇡≛$3196$))↱(($1118$≦↸$1845$)⇉⇱⇎))","expression":"((⫏≰1111202⊴⫏≰11111220)⊉↱≁(⫏≰10220101⊉↱≁⫏≰22001001)≫≃)⨳⩥⨓((⩒∊(⪡⇡≛⫏≰11101101))↱((⫏≰1112102≦↸⫏≰2112100)⇉⇱⇎))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3507,"operation_count":10,"complexity_ratio":350.7,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1100,"base":3},"right_expr":{"type":"numeric_atoms","value":3291,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2845,"base":3},"right_expr":{"type":"numeric_atoms","value":5860,"base":3}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":3196,"base":3}}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1118,"base":3},"right_expr":{"type":"numeric_atoms","value":1845,"base":3}}}}},"used_operators":["nCS4ZIUYfx","X99M06cbEe","w2P8NbNXyL","Nsiff2A1zJ","SR5kFfdi6N","qazvmhNBbN","qL4PrbW1Dq","MRPaB8lBjK","RygbFNSyEJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","dWAJyo7jo9","14qkJME0vr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=3291","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=3291, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2845","layer":4},{"info":"number node, value=5860","layer":4},{"info":"compute binary expreesion, left_input=2845, right_input=5860, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-7824","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7824, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"number node, value=3196","layer":4},{"info":"compute unary expreesion, input=3196, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3196","layer":3},{"info":"compute unary expreesion, input=-3196, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-10861","layer":2},{"info":"number node, value=1118","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=1845, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5245","layer":3},{"info":"compute unary expreesion, input=-5245, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":2},{"info":"compute binary expreesion, left_input=-10861, right_input=218, 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=16978","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16978, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1111202⊴⫏≰11111220)⊉↱≁(⫏≰10220101⊉↱≁⫏≰22001001)≫≃)⨳⩥⨓((⩒∊(⪡⇡≛⫏≰11101101))↱((⫏≰1112102≦↸⫏≰2112100)⇉⇱⇎))=NaN","reverse_text":"NaN=((⫏≰1111202⊴⫏≰11111220)⊉↱≁(⫏≰10220101⊉↱≁⫏≰22001001)≫≃)⨳⩥⨓((⩒∊(⪡⇡≛⫏≰11101101))↱((⫏≰1112102≦↸⫏≰2112100)⇉⇱⇎))","cot":[{"info":"⫏≰1111202⊴⫏≰11111220=NaN","layer":3},{"info":"⫏≰10220101⊉↱≁⫏≰22001001=⫏≰-101201210","layer":3},{"info":"NaN⊉↱≁⫏≰-101201210=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⪡⇡≛⫏≰11101101=⫏≰-11101101","layer":3},{"info":"⩒∊⫏≰-11101101=⫏≰-112220021","layer":2},{"info":"⫏≰1112102≦↸⫏≰2112100=⫏≰-21012021","layer":3},{"info":"⫏≰-21012021⇉⇱⇎=⫏≰22002","layer":2},{"info":"⫏≰-112220021↱⫏≰22002=⫏≰212021211","layer":1},{"info":"NaN⨳⩥⨓⫏≰212021211=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"(≀↧⇸$7782$∊∟⩊$2091$⫒⫫($5761$⊨$2328$))↯⫤","expression":"(≀↧⇸⫏≰101200020∊∟⩊⫏≰2212110⫒⫫(⫏≰21220101⊨⫏≰10012020))↯⫤","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":35,"operation_count":5,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":7782,"base":3},"right_expr":{"type":"numeric_atoms","value":2091,"base":3}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5761,"base":3},"right_expr":{"type":"numeric_atoms","value":2328,"base":3}}}}},"used_operators":["VwlE7vj6HS","ljTHtUsqzn","6Ko8hGgeMq","ddLRYrp01A","vg4gO5BX6G"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","XPYlsWDdGa","23Mk6UjR3U","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7782","layer":4},{"info":"number node, value=2091","layer":4},{"info":"compute binary expreesion, left_input=7782, right_input=2091, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2091","layer":3},{"info":"number node, value=5761","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=5761, right_input=2328, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=24075","layer":3},{"info":"compute binary expreesion, left_input=2091, right_input=24075, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≀↧⇸⫏≰101200020∊∟⩊⫏≰2212110⫒⫫(⫏≰21220101⊨⫏≰10012020))↯⫤=NaN","reverse_text":"NaN=(≀↧⇸⫏≰101200020∊∟⩊⫏≰2212110⫒⫫(⫏≰21220101⊨⫏≰10012020))↯⫤","cot":[{"info":"⫏≰101200020∊∟⩊⫏≰2212110=⫏≰2212110","layer":3},{"info":"⫏≰21220101⊨⫏≰10012020=⫏≰1020000200","layer":3},{"info":"⫏≰2212110⫒⫫⫏≰1020000200=NaN","layer":2},{"info":"≀↧⇸NaN=NaN","layer":1},{"info":"NaN↯⫤=NaN","layer":0}]}
{"id":125,"expression_no_base_symbol":"(($3806$⪚$2148$≄⊠$4899$⋛$2125$)⨟⋌⩍($1199$∺≝⩲$7524$)⪬($4331$≴⪞⇿$1616$))⫏⊷","expression":"((⫏≰12012222⪚⫏≰2221120≄⊠⫏≰20201110⋛⫏≰2220201)⨟⋌⩍(⫏≰1122102∺≝⩲⫏≰101022200)⪬(⫏≰12221102≴⪞⇿⫏≰2012212))⫏⊷","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5156,"operation_count":8,"complexity_ratio":644.5,"tree":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3806,"base":3},"right_expr":{"type":"numeric_atoms","value":2148,"base":3}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4899,"base":3},"right_expr":{"type":"numeric_atoms","value":2125,"base":3}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1199,"base":3},"right_expr":{"type":"numeric_atoms","value":7524,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4331,"base":3},"right_expr":{"type":"numeric_atoms","value":1616,"base":3}}}}},"used_operators":["dcShxvzhyw","rGHVDoGpnC","vXNesLlMH1","HrjLwUk87U","YbUVn0Rbpy","Ez1Nq5fNfI","KPf6cnQVty","lvlrscuwVU"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","Tcnh7f0tEr","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3806","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=3806, right_input=2148, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2960","layer":3},{"info":"number node, value=4899","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=4899, right_input=2125, 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=-88101","layer":3},{"info":"compute binary expreesion, left_input=2960, right_input=-88101, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=7524","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=7524, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=4331","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=4331, right_input=1616, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=32934962","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=32934962, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=1234, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12012222⪚⫏≰2221120≄⊠⫏≰20201110⋛⫏≰2220201)⨟⋌⩍(⫏≰1122102∺≝⩲⫏≰101022200)⪬(⫏≰12221102≴⪞⇿⫏≰2012212))⫏⊷=NaN","reverse_text":"NaN=((⫏≰12012222⪚⫏≰2221120≄⊠⫏≰20201110⋛⫏≰2220201)⨟⋌⩍(⫏≰1122102∺≝⩲⫏≰101022200)⪬(⫏≰12221102≴⪞⇿⫏≰2012212))⫏⊷","cot":[{"info":"⫏≰12012222⪚⫏≰2221120=⫏≰11001122","layer":3},{"info":"⫏≰20201110⋛⫏≰2220201=⫏≰-11110212000","layer":3},{"info":"⫏≰11001122≄⊠⫏≰-11110212000=⫏≰2001120","layer":2},{"info":"⫏≰1122102∺≝⩲⫏≰101022200=⫏≰12221","layer":3},{"info":"⫏≰12221102≴⪞⇿⫏≰2012212=⫏≰2021222021021102","layer":3},{"info":"⫏≰12221⪬⫏≰2021222021021102=⫏≰1200201","layer":2},{"info":"⫏≰2001120⨟⋌⩍⫏≰1200201=NaN","layer":1},{"info":"NaN⫏⊷=NaN","layer":0}]}
{"id":126,"expression_no_base_symbol":"(⊆⋠(($1393$⨁⊸⫻)∪⫐(⇺⋃$1680$)))∙∹∝$1156$⨂≜$1891$⨼⩣($1007$⪮%⊝$6145$)⪉⨛($1748$⩼⇪↪$1358$)⪟⇏($1769$⩘$2449$)","expression":"(⊆⋠((⫏≰1220121⨁⊸⫻)∪⫐(⇺⋃⫏≰2022020)))∙∹∝⫏≰1120211⨂≜⫏≰2121001⨼⩣(⫏≰1101022⪮%⊝⫏≰22102121)⪉⨛(⫏≰2101202⩼⇪↪⫏≰1212022)⪟⇏(⫏≰2102112⩘⫏≰10100201)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1828,"operation_count":12,"complexity_ratio":152.33333333333334,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1393,"base":3}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1680,"base":3}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1156,"base":3},"right_expr":{"type":"numeric_atoms","value":1891,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":6145,"base":3}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1748,"base":3},"right_expr":{"type":"numeric_atoms","value":1358,"base":3}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1769,"base":3},"right_expr":{"type":"numeric_atoms","value":2449,"base":3}}}}},"used_operators":["HmxsFra2vL","EBhcHTkKd8","7YooWSwCyH","glklzrTFfD","E5v5B3UAjG","EWw2JM7wp4","JxwMv5le6e","k1SHOSEABc","IWmyXbctLI","GODebY97qR","ocnLzx9CaJ","cHh1gJQ2o6"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1393","layer":3},{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1393, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1393","layer":2},{"info":"compute unary expreesion, input=1393, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"number node, value=1156","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=1891, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=6145","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=6145, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2330","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2330, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1748","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1358, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6793","layer":3},{"info":"number node, value=1769","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=2449, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-6793, right_input=160, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⊆⋠((⫏≰1220121⨁⊸⫻)∪⫐(⇺⋃⫏≰2022020)))∙∹∝⫏≰1120211⨂≜⫏≰2121001⨼⩣(⫏≰1101022⪮%⊝⫏≰22102121)⪉⨛(⫏≰2101202⩼⇪↪⫏≰1212022)⪟⇏(⫏≰2102112⩘⫏≰10100201)=⫏≰0","reverse_text":"⫏≰0=(⊆⋠((⫏≰1220121⨁⊸⫻)∪⫐(⇺⋃⫏≰2022020)))∙∹∝⫏≰1120211⨂≜⫏≰2121001⨼⩣(⫏≰1101022⪮%⊝⫏≰22102121)⪉⨛(⫏≰2101202⩼⇪↪⫏≰1212022)⪟⇏(⫏≰2102112⩘⫏≰10100201)","cot":[{"info":"⫏≰1220121⨁⊸⫻=⫏≰1220121","layer":3},{"info":"⇺⋃⫏≰2022020=NaN","layer":3},{"info":"⫏≰1220121∪⫐NaN=⫏≰1220121","layer":2},{"info":"⊆⋠⫏≰1220121=⫏≰0","layer":1},{"info":"⫏≰1120211⨂≜⫏≰2121001=NaN","layer":3},{"info":"⫏≰1101022⪮%⊝⫏≰22102121=⫏≰10012022","layer":3},{"info":"NaN⨼⩣⫏≰10012022=NaN","layer":2},{"info":"⫏≰2101202⩼⇪↪⫏≰1212022=⫏≰-100022121","layer":3},{"info":"⫏≰2102112⩘⫏≰10100201=⫏≰12221","layer":3},{"info":"⫏≰-100022121⪟⇏⫏≰12221=⫏≰0","layer":2},{"info":"NaN⪉⨛⫏≰0=NaN","layer":1},{"info":"⫏≰0∙∹∝NaN=⫏≰0","layer":0}]}
{"id":127,"expression_no_base_symbol":"((∤↝(≇⪴$1480$))⩏)⪟⇏(($2263$↸$1421$)↤⩊($4852$≹⇙⪍$1964$)⪪((⨂⪏⇭$1827$)≄⊠$1441$↓$1256$))","expression":"((∤↝(≇⪴⫏≰2000211))⩏)⪟⇏((⫏≰10002211↸⫏≰1221122)↤⩊(⫏≰20122201≹⇙⪍⫏≰2200202)⪪((⨂⪏⇭⫏≰2111200)≄⊠⫏≰1222101↓⫏≰1201112))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19909,"operation_count":11,"complexity_ratio":1809.909090909091,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1480,"base":3}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2263,"base":3},"right_expr":{"type":"numeric_atoms","value":1421,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4852,"base":3},"right_expr":{"type":"numeric_atoms","value":1964,"base":3}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1827,"base":3}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1441,"base":3},"right_expr":{"type":"numeric_atoms","value":1256,"base":3}}}}},"used_operators":["GODebY97qR","iA2gmKZ3Wj","3UMq87Qwqg","zoVPnxeHJ3","xD69zh8xqp","13rbtpv6ld","1eCjFl0mb9","AHs5Up7iyr","vXNesLlMH1","AYdpE9sXAk","Af076pWI7l"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","z6LnFrNh4i","Tcnh7f0tEr","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","dWAJyo7jo9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"compute unary expreesion, input=1480, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-3100","layer":3},{"info":"compute unary expreesion, input=-3100, 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=-3100","layer":2},{"info":"compute unary expreesion, input=-3100, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"number node, value=2263","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=1421, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2263","layer":3},{"info":"number node, value=4852","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=4852, right_input=1964, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2263, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4502","layer":3},{"info":"number node, value=1441","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=1256, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=4502, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, 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":3,"result_base":3,"text":"((∤↝(≇⪴⫏≰2000211))⩏)⪟⇏((⫏≰10002211↸⫏≰1221122)↤⩊(⫏≰20122201≹⇙⪍⫏≰2200202)⪪((⨂⪏⇭⫏≰2111200)≄⊠⫏≰1222101↓⫏≰1201112))=⫏≰0","reverse_text":"⫏≰0=((∤↝(≇⪴⫏≰2000211))⩏)⪟⇏((⫏≰10002211↸⫏≰1221122)↤⩊(⫏≰20122201≹⇙⪍⫏≰2200202)⪪((⨂⪏⇭⫏≰2111200)≄⊠⫏≰1222101↓⫏≰1201112))","cot":[{"info":"≇⪴⫏≰2000211=⫏≰-11020211","layer":3},{"info":"∤↝⫏≰-11020211=⫏≰-11020211","layer":2},{"info":"⫏≰-11020211⩏=⫏≰0","layer":1},{"info":"⫏≰10002211↸⫏≰1221122=⫏≰10002211","layer":3},{"info":"⫏≰20122201≹⇙⪍⫏≰2200202=NaN","layer":3},{"info":"⫏≰10002211↤⩊NaN=NaN","layer":2},{"info":"⨂⪏⇭⫏≰2111200=⫏≰20011202","layer":3},{"info":"⫏≰1222101↓⫏≰1201112=⫏≰-11222","layer":3},{"info":"⫏≰20011202≄⊠⫏≰-11222=⫏≰2001120","layer":2},{"info":"NaN⪪⫏≰2001120=NaN","layer":1},{"info":"⫏≰0⪟⇏NaN=⫏≰0","layer":0}]}
{"id":128,"expression_no_base_symbol":"⊵⊁(⨙⪌(∡(↡$3448$)))","expression":"⊵⊁(⨙⪌(∡(↡⫏≰11201201)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":958,"operation_count":4,"complexity_ratio":239.5,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3448,"base":3}}}}},"used_operators":["AvED76WdY7","vEGLkm4Z2k","pRsWfj4Fpp","MXaNJeIAZ3"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⫏≰12200021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3448","layer":4},{"info":"compute unary expreesion, input=3448, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=31032","layer":3},{"info":"compute unary expreesion, input=31032, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-31032","layer":2},{"info":"compute unary expreesion, input=-31032, 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 = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=4138","layer":0}],"base":3,"result_base":3,"text":"⊵⊁(⨙⪌(∡(↡⫏≰11201201)))=⫏≰12200021","reverse_text":"⫏≰12200021=⊵⊁(⨙⪌(∡(↡⫏≰11201201)))","cot":[{"info":"↡⫏≰11201201=⫏≰1120120100","layer":3},{"info":"∡⫏≰1120120100=⫏≰-1120120100","layer":2},{"info":"⨙⪌⫏≰-1120120100=⫏≰1012011","layer":1},{"info":"⊵⊁⫏≰1012011=⫏≰12200021","layer":0}]}
{"id":129,"expression_no_base_symbol":"(⊗($8656$⫰⋱$4736$)≴⪞⇿(≸$7541$))≥⨤⩑($1665$⪃⊛⇣$1631$⇀∌)⋥⋵⩄(($2715$⪃↞⩐)⨓(⩦⊞$3294$))","expression":"(⊗(⫏≰102212121⫰⋱⫏≰20111102)≴⪞⇿(≸⫏≰101100022))≥⨤⩑(⫏≰2021200⪃⊛⇣⫏≰2020102⇀∌)⋥⋵⩄((⫏≰10201120⪃↞⩐)⨓(⩦⊞⫏≰11112000))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4562,"operation_count":11,"complexity_ratio":414.72727272727275,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":8656,"base":3},"right_expr":{"type":"numeric_atoms","value":4736,"base":3}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":7541,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1665,"base":3},"right_expr":{"type":"numeric_atoms","value":1631,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":2715,"base":3}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3294,"base":3}}}}},"used_operators":["gJLn6v0xnP","RhiyfpczSx","lvlrscuwVU","6o9Blt3TJ6","eOf03JbCpp","7t3wd0Fuz7","2k53nXOpI5","rrgAzCduG9","3ViojmjbAp","grXIztHqDa","u7fv1HBiaC"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8656","layer":4},{"info":"number node, value=4736","layer":4},{"info":"compute binary expreesion, left_input=8656, right_input=4736, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-8623","layer":3},{"info":"number node, value=7541","layer":4},{"info":"compute unary expreesion, input=7541, 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":3},{"info":"compute binary expreesion, left_input=-8623, right_input=58, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-119811","layer":2},{"info":"compute unary expreesion, input=-119811, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=239622","layer":1},{"info":"number node, value=1665","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=1631, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"number node, value=2715","layer":4},{"info":"compute unary expreesion, input=2715, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=16596","layer":3},{"info":"number node, value=3294","layer":4},{"info":"compute unary expreesion, input=3294, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3021","layer":3},{"info":"compute binary expreesion, left_input=16596, right_input=-3021, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3024","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-3024, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=28470","layer":1},{"info":"compute binary expreesion, left_input=239622, right_input=28470, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"(⊗(⫏≰102212121⫰⋱⫏≰20111102)≴⪞⇿(≸⫏≰101100022))≥⨤⩑(⫏≰2021200⪃⊛⇣⫏≰2020102⇀∌)⋥⋵⩄((⫏≰10201120⪃↞⩐)⨓(⩦⊞⫏≰11112000))=⫏≰1200201","reverse_text":"⫏≰1200201=(⊗(⫏≰102212121⫰⋱⫏≰20111102)≴⪞⇿(≸⫏≰101100022))≥⨤⩑(⫏≰2021200⪃⊛⇣⫏≰2020102⇀∌)⋥⋵⩄((⫏≰10201120⪃↞⩐)⨓(⩦⊞⫏≰11112000))","cot":[{"info":"⫏≰102212121⫰⋱⫏≰20111102=⫏≰-102211101","layer":3},{"info":"≸⫏≰101100022=⫏≰2011","layer":3},{"info":"⫏≰-102211101≴⪞⇿⫏≰2011=⫏≰-20002100110","layer":2},{"info":"⊗⫏≰-20002100110=⫏≰110011200220","layer":1},{"info":"⫏≰2021200⪃⊛⇣⫏≰2020102=⫏≰1200201","layer":3},{"info":"⫏≰1200201⇀∌=⫏≰11012","layer":2},{"info":"⫏≰10201120⪃↞⩐=⫏≰211202200","layer":3},{"info":"⩦⊞⫏≰11112000=⫏≰-11010220","layer":3},{"info":"⫏≰211202200⨓⫏≰-11010220=⫏≰-11011000","layer":2},{"info":"⫏≰11012⋥⋵⩄⫏≰-11011000=⫏≰1110001110","layer":1},{"info":"⫏≰110011200220≥⨤⩑⫏≰1110001110=⫏≰1200201","layer":0}]}
{"id":130,"expression_no_base_symbol":"(($1515$⪘⫢$1566$)+⪬∐$2184$∥⊢⊲$7346$)↳≱(($2236$⨵⪆$2690$)⨪↰⇹$5482$↤⩊$4660$)⪛⫼(↴⪽⋼$7727$)∴($7430$⨚$4020$)⊬⨰((⪸$3761$)≫≃)","expression":"((⫏≰2002010⪘⫢⫏≰2011000)+⪬∐⫏≰2222220∥⊢⊲⫏≰101002002)↳≱((⫏≰10001211⨵⪆⫏≰10200122)⨪↰⇹⫏≰21112001↤⩊⫏≰20101121)⪛⫼(↴⪽⋼⫏≰101121012)∴(⫏≰101012012⨚⫏≰12111220)⊬⨰((⪸⫏≰12011022)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":591,"operation_count":14,"complexity_ratio":42.214285714285715,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1515,"base":3},"right_expr":{"type":"numeric_atoms","value":1566,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2184,"base":3},"right_expr":{"type":"numeric_atoms","value":7346,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2236,"base":3},"right_expr":{"type":"numeric_atoms","value":2690,"base":3}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5482,"base":3},"right_expr":{"type":"numeric_atoms","value":4660,"base":3}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":7727,"base":3}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":7430,"base":3},"right_expr":{"type":"numeric_atoms","value":4020,"base":3}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":3761,"base":3}}}}},"used_operators":["hyuBjUqXlG","JwTKLfZU96","2GS7woTJqF","oacrs7FA3X","v1UQAVDJRr","tmPS8pqC7x","2DQ55sFlQl","13rbtpv6ld","s3Fd5m9Dh2","hrf7POJlIJ","5TUYCnJO6w","nREPSIbpBE","X99M06cbEe","86A5ENbKR9"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","g55IO6H4Gj","D4vGDi5EA2","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","BjRHVeLaeN","12rbrZMWeM","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"⫏≰-1221001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=1566, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2906","layer":3},{"info":"number node, value=2184","layer":4},{"info":"number node, value=7346","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=7346, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2906, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8718","layer":2},{"info":"number node, value=2236","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=2690, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5482","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=5482, right_input=4660, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":2},{"info":"compute binary expreesion, left_input=-8718, right_input=160, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=7727","layer":4},{"info":"compute unary expreesion, input=7727, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=7727","layer":3},{"info":"number node, value=7430","layer":4},{"info":"number node, value=4020","layer":4},{"info":"compute binary expreesion, left_input=7430, right_input=4020, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-286","layer":3},{"info":"compute binary expreesion, left_input=7727, right_input=-286, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=17102","layer":2},{"info":"number node, value=3761","layer":4},{"info":"compute unary expreesion, input=3761, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-63728","layer":3},{"info":"compute unary expreesion, input=-63728, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-126055","layer":2},{"info":"compute binary expreesion, left_input=17102, right_input=-126055, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-488174","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-488174, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1405","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2002010⪘⫢⫏≰2011000)+⪬∐⫏≰2222220∥⊢⊲⫏≰101002002)↳≱((⫏≰10001211⨵⪆⫏≰10200122)⨪↰⇹⫏≰21112001↤⩊⫏≰20101121)⪛⫼(↴⪽⋼⫏≰101121012)∴(⫏≰101012012⨚⫏≰12111220)⊬⨰((⪸⫏≰12011022)≫≃)=⫏≰-1221001","reverse_text":"⫏≰-1221001=((⫏≰2002010⪘⫢⫏≰2011000)+⪬∐⫏≰2222220∥⊢⊲⫏≰101002002)↳≱((⫏≰10001211⨵⪆⫏≰10200122)⨪↰⇹⫏≰21112001↤⩊⫏≰20101121)⪛⫼(↴⪽⋼⫏≰101121012)∴(⫏≰101012012⨚⫏≰12111220)⊬⨰((⪸⫏≰12011022)≫≃)","cot":[{"info":"⫏≰2002010⪘⫢⫏≰2011000=⫏≰10222122","layer":3},{"info":"⫏≰2222220∥⊢⊲⫏≰101002002=NaN","layer":3},{"info":"⫏≰10222122+⪬∐NaN=⫏≰-102221220","layer":2},{"info":"⫏≰10001211⨵⪆⫏≰10200122=⫏≰12221","layer":3},{"info":"⫏≰21112001↤⩊⫏≰20101121=NaN","layer":3},{"info":"⫏≰12221⨪↰⇹NaN=⫏≰12221","layer":2},{"info":"⫏≰-102221220↳≱⫏≰12221=⫏≰0","layer":1},{"info":"↴⪽⋼⫏≰101121012=⫏≰101121012","layer":3},{"info":"⫏≰101012012⨚⫏≰12111220=⫏≰-101121","layer":3},{"info":"⫏≰101121012∴⫏≰-101121=⫏≰212110102","layer":2},{"info":"⪸⫏≰12011022=⫏≰-10020102022","layer":3},{"info":"⫏≰-10020102022≫≃=⫏≰-20101220201","layer":2},{"info":"⫏≰212110102⊬⨰⫏≰-20101220201=⫏≰-220210122112","layer":1},{"info":"⫏≰0⪛⫼⫏≰-220210122112=⫏≰-1221001","layer":0}]}
{"id":131,"expression_no_base_symbol":"(⩷($4014$⨪↰⇹$3416$≃$2797$↢$1006$))⋭≵($1970$↱$1723$)≝⊿$1232$≴⪞⇿$1625$⊱⇼⊻(⇘($4920$⪥$1057$))","expression":"(⩷(⫏≰12111200⨪↰⇹⫏≰11200112≃⫏≰10211121↢⫏≰1101021))⋭≵(⫏≰2200222↱⫏≰2100211)≝⊿⫏≰1200122≴⪞⇿⫏≰2020012⊱⇼⊻(⇘(⫏≰20202020⪥⫏≰1110011))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":53913,"operation_count":11,"complexity_ratio":4901.181818181818,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4014,"base":3},"right_expr":{"type":"numeric_atoms","value":3416,"base":3}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2797,"base":3},"right_expr":{"type":"numeric_atoms","value":1006,"base":3}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1970,"base":3},"right_expr":{"type":"numeric_atoms","value":1723,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1232,"base":3},"right_expr":{"type":"numeric_atoms","value":1625,"base":3}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4920,"base":3},"right_expr":{"type":"numeric_atoms","value":1057,"base":3}}}}},"used_operators":["jBncVCNhdl","1h0rLqGiFr","YbVcJGFEVW","tmPS8pqC7x","WR6HLWljOP","FyVja0WsTP","OKKcZfAt5B","SR5kFfdi6N","lvlrscuwVU","MGuIdZPyUC","QbnwKVWMIQ"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rJVOvQCfKK","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","12rbrZMWeM","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4014","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=4014, right_input=3416, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4014","layer":3},{"info":"number node, value=2797","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=2797, right_input=1006, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2313","layer":3},{"info":"compute binary expreesion, left_input=4014, right_input=2313, 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=-16096","layer":2},{"info":"compute unary expreesion, input=-16096, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=193073","layer":1},{"info":"number node, value=1970","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=1723, 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=-4647","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=1625, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1839596","layer":3},{"info":"compute binary expreesion, left_input=-4647, right_input=1839596, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-3675078","layer":2},{"info":"number node, value=4920","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=4920, right_input=1057, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24332","layer":3},{"info":"compute unary expreesion, input=24332, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=1454302","layer":2},{"info":"compute binary expreesion, left_input=-3675078, right_input=1454302, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=14700516","layer":1},{"info":"compute binary expreesion, left_input=193073, right_input=14700516, 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":3,"result_base":3,"text":"(⩷(⫏≰12111200⨪↰⇹⫏≰11200112≃⫏≰10211121↢⫏≰1101021))⋭≵(⫏≰2200222↱⫏≰2100211)≝⊿⫏≰1200122≴⪞⇿⫏≰2020012⊱⇼⊻(⇘(⫏≰20202020⪥⫏≰1110011))=⫏≰2111","reverse_text":"⫏≰2111=(⩷(⫏≰12111200⨪↰⇹⫏≰11200112≃⫏≰10211121↢⫏≰1101021))⋭≵(⫏≰2200222↱⫏≰2100211)≝⊿⫏≰1200122≴⪞⇿⫏≰2020012⊱⇼⊻(⇘(⫏≰20202020⪥⫏≰1110011))","cot":[{"info":"⫏≰12111200⨪↰⇹⫏≰11200112=⫏≰12111200","layer":3},{"info":"⫏≰10211121↢⫏≰1101021=⫏≰10011200","layer":3},{"info":"⫏≰12111200≃⫏≰10011200=⫏≰-211002011","layer":2},{"info":"⩷⫏≰-211002011=⫏≰100210211212","layer":1},{"info":"⫏≰2200222↱⫏≰2100211=⫏≰-20101010","layer":3},{"info":"⫏≰1200122≴⪞⇿⫏≰2020012=⫏≰10110110110012","layer":3},{"info":"⫏≰-20101010≝⊿⫏≰10110110110012=⫏≰-20220201021000","layer":2},{"info":"⫏≰20202020⪥⫏≰1110011=⫏≰1020101012","layer":3},{"info":"⇘⫏≰1020101012=⫏≰2201212221001","layer":2},{"info":"⫏≰-20220201021000⊱⇼⊻⫏≰2201212221001=⫏≰1000122212022120","layer":1},{"info":"⫏≰100210211212⋭≵⫏≰1000122212022120=⫏≰2111","layer":0}]}
{"id":132,"expression_no_base_symbol":"(⋣($8019$⫡⨏$4966$))≎⊠⪸($2347$⇴∐$3987$⪭≯$1240$⩦$1503$)⫡⨏(∡(≦∁$4959$⨽∌$2222$))","expression":"(⋣(⫏≰102000000⫡⨏⫏≰20210221))≎⊠⪸(⫏≰10012221⇴∐⫏≰12110200⪭≯⫏≰1200221⩦⫏≰2001200)⫡⨏(∡(≦∁⫏≰20210200⨽∌⫏≰10001022))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":512,"operation_count":10,"complexity_ratio":51.2,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8019,"base":3},"right_expr":{"type":"numeric_atoms","value":4966,"base":3}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2347,"base":3},"right_expr":{"type":"numeric_atoms","value":3987,"base":3}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1240,"base":3},"right_expr":{"type":"numeric_atoms","value":1503,"base":3}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4959,"base":3},"right_expr":{"type":"numeric_atoms","value":2222,"base":3}}}}},"used_operators":["QMFrweE19q","bJkvcejdHO","zQWRhDnn8F","XAx5wpdLa6","HnzytWxmAO","0kmYd0q39Y","pRsWfj4Fpp","9ICcGScMcE","9samAPKr6k"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⫏≰20210122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8019","layer":4},{"info":"number node, value=4966","layer":4},{"info":"compute binary expreesion, left_input=8019, right_input=4966, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=50810","layer":3},{"info":"compute unary expreesion, input=50810, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-14938045","layer":2},{"info":"number node, value=2347","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=3987, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1503, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2480","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2480, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14938045, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=4959","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=4959, right_input=2222, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"compute unary expreesion, input=-320, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=1920","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=1920, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=4958","layer":0}],"base":3,"result_base":3,"text":"(⋣(⫏≰102000000⫡⨏⫏≰20210221))≎⊠⪸(⫏≰10012221⇴∐⫏≰12110200⪭≯⫏≰1200221⩦⫏≰2001200)⫡⨏(∡(≦∁⫏≰20210200⨽∌⫏≰10001022))=⫏≰20210122","reverse_text":"⫏≰20210122=(⋣(⫏≰102000000⫡⨏⫏≰20210221))≎⊠⪸(⫏≰10012221⇴∐⫏≰12110200⪭≯⫏≰1200221⩦⫏≰2001200)⫡⨏(∡(≦∁⫏≰20210200⨽∌⫏≰10001022))","cot":[{"info":"⫏≰102000000⫡⨏⫏≰20210221=⫏≰2120200212","layer":3},{"info":"⋣⫏≰2120200212=⫏≰-1001002221010221","layer":2},{"info":"⫏≰10012221⇴∐⫏≰12110200=NaN","layer":3},{"info":"⫏≰1200221⩦⫏≰2001200=⫏≰10101212","layer":3},{"info":"NaN⪭≯⫏≰10101212=NaN","layer":2},{"info":"⫏≰-1001002221010221≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"⫏≰20210200⨽∌⫏≰10001022=⫏≰0","layer":3},{"info":"≦∁⫏≰0=⫏≰-102212","layer":2},{"info":"∡⫏≰-102212=⫏≰2122010","layer":1},{"info":"⫏≰2111⫡⨏⫏≰2122010=⫏≰20210122","layer":0}]}
{"id":133,"expression_no_base_symbol":"($3367$↬$3860$∑⇟⊟$2157$⨟⋌⩍$1528$)⪚($1334$∌↝$3796$⋆⋳)≀⩗∶($5799$⊉≛↸$1657$)⩼⇪↪(↔$1561$)⫥∨⫟($2319$⨼⩣$2175$⫸⇳$3755$⇴∐$1550$)","expression":"(⫏≰11121201↬⫏≰12021222∑⇟⊟⫏≰2221220⨟⋌⩍⫏≰2002121)⪚(⫏≰1211102∌↝⫏≰12012121⋆⋳)≀⩗∶(⫏≰21221210⊉≛↸⫏≰2021101)⩼⇪↪(↔⫏≰2010211)⫥∨⫟(⫏≰10011220⨼⩣⫏≰2222120⫸⇳⫏≰12011002⇴∐⫏≰2010102)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":644,"operation_count":14,"complexity_ratio":46.0,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3367,"base":3},"right_expr":{"type":"numeric_atoms","value":3860,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2157,"base":3},"right_expr":{"type":"numeric_atoms","value":1528,"base":3}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1334,"base":3},"right_expr":{"type":"numeric_atoms","value":3796,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5799,"base":3},"right_expr":{"type":"numeric_atoms","value":1657,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1561,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2319,"base":3},"right_expr":{"type":"numeric_atoms","value":2175,"base":3}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3755,"base":3},"right_expr":{"type":"numeric_atoms","value":1550,"base":3}}}}},"used_operators":["8INZBEW696","HrjLwUk87U","U7g4x0WXJJ","B5M0gjZbta","rGHVDoGpnC","6MpZysEj17","9Isq31Ruls","KYD54nUTWz","ocnLzx9CaJ","DZ8iAZOCBD","ruOEQAzv1W","gx7XJ7hdpj","JxwMv5le6e","HnzytWxmAO"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","Tcnh7f0tEr","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3367","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=3860, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2157","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=1528, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1334","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=3796, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-32","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-32, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=5799","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=5799, right_input=1657, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11598","layer":3},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1288","layer":3},{"info":"compute binary expreesion, left_input=11598, right_input=-1288, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=31429","layer":2},{"info":"number node, value=2319","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=2175, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3755","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=3755, right_input=1550, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=31429, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11121201↬⫏≰12021222∑⇟⊟⫏≰2221220⨟⋌⩍⫏≰2002121)⪚(⫏≰1211102∌↝⫏≰12012121⋆⋳)≀⩗∶(⫏≰21221210⊉≛↸⫏≰2021101)⩼⇪↪(↔⫏≰2010211)⫥∨⫟(⫏≰10011220⨼⩣⫏≰2222120⫸⇳⫏≰12011002⇴∐⫏≰2010102)=NaN","reverse_text":"NaN=(⫏≰11121201↬⫏≰12021222∑⇟⊟⫏≰2221220⨟⋌⩍⫏≰2002121)⪚(⫏≰1211102∌↝⫏≰12012121⋆⋳)≀⩗∶(⫏≰21221210⊉≛↸⫏≰2021101)⩼⇪↪(↔⫏≰2010211)⫥∨⫟(⫏≰10011220⨼⩣⫏≰2222120⫸⇳⫏≰12011002⇴∐⫏≰2010102)","cot":[{"info":"⫏≰11121201↬⫏≰12021222=NaN","layer":3},{"info":"⫏≰2221220⨟⋌⩍⫏≰2002121=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"⫏≰1211102∌↝⫏≰12012121=⫏≰0","layer":3},{"info":"⫏≰0⋆⋳=⫏≰-1012","layer":2},{"info":"NaN⪚⫏≰-1012=NaN","layer":1},{"info":"⫏≰21221210⊉≛↸⫏≰2021101=⫏≰120220120","layer":3},{"info":"↔⫏≰2010211=⫏≰-1202201","layer":3},{"info":"⫏≰120220120⩼⇪↪⫏≰-1202201=⫏≰1121010001","layer":2},{"info":"⫏≰10011220⨼⩣⫏≰2222120=NaN","layer":3},{"info":"⫏≰12011002⇴∐⫏≰2010102=NaN","layer":3},{"info":"NaN⫸⇳NaN=NaN","layer":2},{"info":"⫏≰1121010001⫥∨⫟NaN=NaN","layer":1},{"info":"NaN≀⩗∶NaN=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"⩰(⩎⋉(⨦⪝$1944$))⫁(≀↧⇸(⪝⪂⫅$1262$))","expression":"⩰(⩎⋉(⨦⪝⫏≰2200000))⫁(≀↧⇸(⪝⪂⫅⫏≰1201202))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":370,"operation_count":6,"complexity_ratio":61.666666666666664,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1944,"base":3}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1262,"base":3}}}}},"used_operators":["WkeUrDK8WX","0ajvFaJAv0","FlXk3pOYe8","SUjycxNXIR","ljTHtUsqzn","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","cHh1gJQ2o6","AHs5Up7iyr","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","XPYlsWDdGa","23Mk6UjR3U","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫏≰-1120222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1944","layer":4},{"info":"compute unary expreesion, input=1944, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute unary expreesion, input=-1884, 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":2},{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-185514","layer":3},{"info":"compute unary expreesion, input=-185514, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=742056","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=742056, 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 = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1160","layer":0}],"base":3,"result_base":3,"text":"⩰(⩎⋉(⨦⪝⫏≰2200000))⫁(≀↧⇸(⪝⪂⫅⫏≰1201202))=⫏≰-1120222","reverse_text":"⫏≰-1120222=⩰(⩎⋉(⨦⪝⫏≰2200000))⫁(≀↧⇸(⪝⪂⫅⫏≰1201202))","cot":[{"info":"⨦⪝⫏≰2200000=⫏≰-2120210","layer":3},{"info":"⩎⋉⫏≰-2120210=⫏≰2021010","layer":2},{"info":"⪝⪂⫅⫏≰1201202=⫏≰-100102110220","layer":3},{"info":"≀↧⇸⫏≰-100102110220=⫏≰1101200220120","layer":2},{"info":"⫏≰2021010⫁⫏≰1101200220120=⫏≰12221","layer":1},{"info":"⩰⫏≰12221=⫏≰-1120222","layer":0}]}
{"id":135,"expression_no_base_symbol":"(($4187$∌↝$5990$)⫉⨲⊜($2234$⋆⋳)⇌⫙⪟(⇾⩊⇾($1210$⇍⊗$8482$)))⪮%⊝((⇤←(⩷$1189$))+$2983$↓$1255$⩹(≪$1113$))","expression":"((⫏≰12202002∌↝⫏≰22012212)⫉⨲⊜(⫏≰10001202⋆⋳)⇌⫙⪟(⇾⩊⇾(⫏≰1122211⇍⊗⫏≰102122011)))⪮%⊝((⇤←(⩷⫏≰1122001))+⫏≰11002111↓⫏≰1201111⩹(≪⫏≰1112020))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":61128,"operation_count":13,"complexity_ratio":4702.153846153846,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4187,"base":3},"right_expr":{"type":"numeric_atoms","value":5990,"base":3}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2234,"base":3}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1210,"base":3},"right_expr":{"type":"numeric_atoms","value":8482,"base":3}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1189,"base":3}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2983,"base":3},"right_expr":{"type":"numeric_atoms","value":1255,"base":3}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1113,"base":3}}}}},"used_operators":["IWmyXbctLI","AFVx7xoS7T","WhqkvtTD3t","9Isq31Ruls","6MpZysEj17","bx9Z9DAK5y","5uvYHDjeKN","W4YGzv6Whe","jfAgQ2OQeM","1h0rLqGiFr","2Wsdkap16l","Af076pWI7l","Qtd6bqUJcN"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eewbuw0ToL","zVYPLywUTj","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"⫏≰10010200020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4187","layer":4},{"info":"number node, value=5990","layer":4},{"info":"compute binary expreesion, left_input=4187, right_input=5990, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2234","layer":4},{"info":"compute unary expreesion, input=2234, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-4500","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4500, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-4610","layer":2},{"info":"number node, value=1210","layer":4},{"info":"number node, value=8482","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=8482, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-4290","layer":2},{"info":"compute binary expreesion, left_input=-4610, right_input=-4290, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=30706","layer":1},{"info":"number node, value=1189","layer":4},{"info":"compute unary expreesion, input=1189, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-14347","layer":3},{"info":"compute unary expreesion, input=-14347, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=14781","layer":2},{"info":"number node, value=2983","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=1255, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=913, 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=911","layer":2},{"info":"compute binary expreesion, left_input=14781, right_input=911, op_id = W4YGzv6Whe binary_op_definition= 'None', output=15692","layer":1},{"info":"compute binary expreesion, left_input=30706, right_input=15692, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=61728","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12202002∌↝⫏≰22012212)⫉⨲⊜(⫏≰10001202⋆⋳)⇌⫙⪟(⇾⩊⇾(⫏≰1122211⇍⊗⫏≰102122011)))⪮%⊝((⇤←(⩷⫏≰1122001))+⫏≰11002111↓⫏≰1201111⩹(≪⫏≰1112020))=⫏≰10010200020","reverse_text":"⫏≰10010200020=((⫏≰12202002∌↝⫏≰22012212)⫉⨲⊜(⫏≰10001202⋆⋳)⇌⫙⪟(⇾⩊⇾(⫏≰1122211⇍⊗⫏≰102122011)))⪮%⊝((⇤←(⩷⫏≰1122001))+⫏≰11002111↓⫏≰1201111⩹(≪⫏≰1112020))","cot":[{"info":"⫏≰12202002∌↝⫏≰22012212=⫏≰0","layer":3},{"info":"⫏≰10001202⋆⋳=⫏≰-20011200","layer":3},{"info":"⫏≰0⫉⨲⊜⫏≰-20011200=⫏≰-20022202","layer":2},{"info":"⫏≰1122211⇍⊗⫏≰102122011=⫏≰-100001","layer":3},{"info":"⇾⩊⇾⫏≰-100001=⫏≰-12212220","layer":2},{"info":"⫏≰-20022202⇌⫙⪟⫏≰-12212220=⫏≰1120010021","layer":1},{"info":"⩷⫏≰1122001=⫏≰-201200101","layer":3},{"info":"⇤←⫏≰-201200101=⫏≰202021110","layer":2},{"info":"⫏≰11002111↓⫏≰1201111=⫏≰-11222","layer":3},{"info":"≪⫏≰1112020=⫏≰1020211","layer":3},{"info":"⫏≰-11222⩹⫏≰1020211=⫏≰1020202","layer":2},{"info":"⫏≰202021110+⫏≰1020202=⫏≰210112012","layer":1},{"info":"⫏≰1120010021⪮%⊝⫏≰210112012=⫏≰10010200020","layer":0}]}
{"id":136,"expression_no_base_symbol":"(⇠($5349$⪔⊥$1444$)⪔⊥($9003$∛$3527$))⇋≉","expression":"(⇠(⫏≰21100010⪔⊥⫏≰1222111)⪔⊥(⫏≰110100110∛⫏≰11211122))⇋≉","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":134,"operation_count":5,"complexity_ratio":26.8,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5349,"base":3},"right_expr":{"type":"numeric_atoms","value":1444,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":9003,"base":3},"right_expr":{"type":"numeric_atoms","value":3527,"base":3}}}}},"used_operators":["XIabStNQrY","18saOjeKKm","HJ9erzHUuu","w2537kitQq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⫏≰-10122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5349","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=5349, right_input=1444, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=18309","layer":3},{"info":"number node, value=9003","layer":4},{"info":"number node, value=3527","layer":4},{"info":"compute binary expreesion, left_input=9003, right_input=3527, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=18309, right_input=-670, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-17510","layer":2},{"info":"compute unary expreesion, input=-17510, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', 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":3,"result_base":3,"text":"(⇠(⫏≰21100010⪔⊥⫏≰1222111)⪔⊥(⫏≰110100110∛⫏≰11211122))⇋≉=⫏≰-10122","reverse_text":"⫏≰-10122=(⇠(⫏≰21100010⪔⊥⫏≰1222111)⪔⊥(⫏≰110100110∛⫏≰11211122))⇋≉","cot":[{"info":"⫏≰21100010⪔⊥⫏≰1222111=⫏≰221010010","layer":3},{"info":"⫏≰110100110∛⫏≰11211122=⫏≰-220211","layer":3},{"info":"⫏≰221010010⪔⊥⫏≰-220211=⫏≰-220000112","layer":2},{"info":"⇠⫏≰-220000112=⫏≰0","layer":1},{"info":"⫏≰0⇋≉=⫏≰-10122","layer":0}]}
{"id":137,"expression_no_base_symbol":"((≀↧⇸$1081$)⫘($1546$⊢)⩘(⊽$4180$)⨿($1464$≋⫹))⇤((⫶⊄≣$1443$)⨥⫆($1053$⩵∡$7172$)⫉⨲⊜(⩦⊞$1153$⫯⪬∳$1888$))","expression":"((≀↧⇸⫏≰1111001)⫘(⫏≰2010021⊢)⩘(⊽⫏≰12201211)⨿(⫏≰2000020≋⫹))⇤((⫶⊄≣⫏≰1222110)⨥⫆(⫏≰1110000⩵∡⫏≰100211122)⫉⨲⊜(⩦⊞⫏≰1120201⫯⪬∳⫏≰2120221))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4247,"operation_count":14,"complexity_ratio":303.35714285714283,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1081,"base":3}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1546,"base":3}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":4180,"base":3}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1464,"base":3}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1443,"base":3}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1053,"base":3},"right_expr":{"type":"numeric_atoms","value":7172,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1153,"base":3},"right_expr":{"type":"numeric_atoms","value":1888,"base":3}}}}},"used_operators":["YSKBFp38Pu","cHh1gJQ2o6","48vC8HMD2b","ljTHtUsqzn","40aOVDgCDB","abYXlopdE0","QxG7OkqoLX","N41Kp7NANJ","WhqkvtTD3t","yXekIHxTD4","wxb3vTeyAj","Y7wcNGrDQJ","u7fv1HBiaC","d7ASUq0ydm"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","XPYlsWDdGa","23Mk6UjR3U","NTOWxs364D","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⫏≰1001111202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2162","layer":3},{"info":"number node, value=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1793","layer":3},{"info":"compute binary expreesion, left_input=2162, right_input=-1793, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2546917","layer":2},{"info":"number node, value=4180","layer":4},{"info":"compute unary expreesion, input=4180, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=9882","layer":3},{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2928","layer":3},{"info":"compute binary expreesion, left_input=9882, right_input=-2928, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=2546917, right_input=-319, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=37503145","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=7172","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=7172, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=4945","layer":3},{"info":"compute binary expreesion, left_input=37503145, right_input=4945, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9766","layer":2},{"info":"number node, value=1153","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1888, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3910","layer":3},{"info":"compute unary expreesion, input=3910, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3637","layer":2},{"info":"compute binary expreesion, left_input=9766, right_input=-3637, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-3747","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-3747, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=20783","layer":0}],"base":3,"result_base":3,"text":"((≀↧⇸⫏≰1111001)⫘(⫏≰2010021⊢)⩘(⊽⫏≰12201211)⨿(⫏≰2000020≋⫹))⇤((⫶⊄≣⫏≰1222110)⨥⫆(⫏≰1110000⩵∡⫏≰100211122)⫉⨲⊜(⩦⊞⫏≰1120201⫯⪬∳⫏≰2120221))=⫏≰1001111202","reverse_text":"⫏≰1001111202=((≀↧⇸⫏≰1111001)⫘(⫏≰2010021⊢)⩘(⊽⫏≰12201211)⨿(⫏≰2000020≋⫹))⇤((⫶⊄≣⫏≰1222110)⨥⫆(⫏≰1110000⩵∡⫏≰100211122)⫉⨲⊜(⩦⊞⫏≰1120201⫯⪬∳⫏≰2120221))","cot":[{"info":"≀↧⇸⫏≰1111001=⫏≰2222002","layer":3},{"info":"⫏≰2010021⊢=⫏≰-2110102","layer":3},{"info":"⫏≰2222002⫘⫏≰-2110102=⫏≰11210101201021","layer":2},{"info":"⊽⫏≰12201211=⫏≰111120000","layer":3},{"info":"⫏≰2000020≋⫹=⫏≰-11000110","layer":3},{"info":"⫏≰111120000⨿⫏≰-11000110=⫏≰-102211","layer":2},{"info":"⫏≰11210101201021⩘⫏≰-102211=⫏≰12221","layer":1},{"info":"⫶⊄≣⫏≰1222110=⫏≰2121120100122101","layer":3},{"info":"⫏≰1110000⩵∡⫏≰100211122=⫏≰20210011","layer":3},{"info":"⫏≰2121120100122101⨥⫆⫏≰20210011=⫏≰111101201","layer":2},{"info":"⫏≰1120201⫯⪬∳⫏≰2120221=⫏≰12100211","layer":3},{"info":"⩦⊞⫏≰12100211=⫏≰-11222201","layer":2},{"info":"⫏≰111101201⫉⨲⊜⫏≰-11222201=⫏≰-12010210","layer":1},{"info":"⫏≰12221⇤⫏≰-12010210=⫏≰1001111202","layer":0}]}
{"id":138,"expression_no_base_symbol":"($5306$⨑≵⋬$3646$)⪟⇏(↨⩢⫨$4530$)∛(⋗⩴⪓$1407$)≹⇙⪍($2503$⇞)⋭≵($2705$⪥$7292$)↞⋁(⊢≑≆$1643$)⨐⩸⫘($6418$⫘$8524$⫸⊐$1745$⨻⩈⩔$4370$)","expression":"(⫏≰21021112⨑≵⋬⫏≰12000001)⪟⇏(↨⩢⫨⫏≰20012210)∛(⋗⩴⪓⫏≰1221010)≹⇙⪍(⫏≰10102201⇞)⋭≵(⫏≰10201012⪥⫏≰101000002)↞⋁(⊢≑≆⫏≰2020212)⨐⩸⫘(⫏≰22210201⫘⫏≰102200201⫸⊐⫏≰2101122⨻⩈⩔⫏≰12222212)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8664,"operation_count":15,"complexity_ratio":577.6,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5306,"base":3},"right_expr":{"type":"numeric_atoms","value":3646,"base":3}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":4530,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1407,"base":3}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":2503,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2705,"base":3},"right_expr":{"type":"numeric_atoms","value":7292,"base":3}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1643,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":6418,"base":3},"right_expr":{"type":"numeric_atoms","value":8524,"base":3}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1745,"base":3},"right_expr":{"type":"numeric_atoms","value":4370,"base":3}}}}},"used_operators":["jBncVCNhdl","w2537kitQq","GODebY97qR","XnXgA4xnOs","Z5CJsN7DuW","AHs5Up7iyr","nOKPl9n5zu","5JYyxRJd4f","fu6greOZ01","RqrPlJkxDo","QbnwKVWMIQ","27wFxooxGf","mqXw5SEYmG","48vC8HMD2b","nEsXyWgiOK"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","dWAJyo7jo9","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","3ViojmjbAp","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⫏≰-10201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5306","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=5306, right_input=3646, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2387","layer":3},{"info":"number node, value=4530","layer":4},{"info":"compute unary expreesion, input=4530, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2387, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-494","layer":3},{"info":"number node, value=2503","layer":4},{"info":"compute unary expreesion, input=2503, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=9925","layer":3},{"info":"compute binary expreesion, left_input=-494, right_input=9925, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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=2705","layer":4},{"info":"number node, value=7292","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=7292, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15472","layer":3},{"info":"number node, value=1643","layer":4},{"info":"compute unary expreesion, input=1643, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=7024","layer":3},{"info":"compute binary expreesion, left_input=15472, right_input=7024, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=6418","layer":4},{"info":"number node, value=8524","layer":4},{"info":"compute binary expreesion, left_input=6418, right_input=8524, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7551973","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=4370","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=4370, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5559","layer":3},{"info":"compute binary expreesion, left_input=7551973, right_input=5559, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22111","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22111, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=67, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-100","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21021112⨑≵⋬⫏≰12000001)⪟⇏(↨⩢⫨⫏≰20012210)∛(⋗⩴⪓⫏≰1221010)≹⇙⪍(⫏≰10102201⇞)⋭≵(⫏≰10201012⪥⫏≰101000002)↞⋁(⊢≑≆⫏≰2020212)⨐⩸⫘(⫏≰22210201⫘⫏≰102200201⫸⊐⫏≰2101122⨻⩈⩔⫏≰12222212)=⫏≰-10201","reverse_text":"⫏≰-10201=(⫏≰21021112⨑≵⋬⫏≰12000001)⪟⇏(↨⩢⫨⫏≰20012210)∛(⋗⩴⪓⫏≰1221010)≹⇙⪍(⫏≰10102201⇞)⋭≵(⫏≰10201012⪥⫏≰101000002)↞⋁(⊢≑≆⫏≰2020212)⨐⩸⫘(⫏≰22210201⫘⫏≰102200201⫸⊐⫏≰2101122⨻⩈⩔⫏≰12222212)","cot":[{"info":"⫏≰21021112⨑≵⋬⫏≰12000001=⫏≰10021102","layer":3},{"info":"↨⩢⫨⫏≰20012210=⫏≰0","layer":3},{"info":"⫏≰10021102⪟⇏⫏≰0=⫏≰0","layer":2},{"info":"⋗⩴⪓⫏≰1221010=⫏≰-200022","layer":3},{"info":"⫏≰10102201⇞=⫏≰111121121","layer":3},{"info":"⫏≰-200022≹⇙⪍⫏≰111121121=NaN","layer":2},{"info":"⫏≰0∛NaN=⫏≰2111","layer":1},{"info":"⫏≰10201012⪥⫏≰101000002=⫏≰210020001","layer":3},{"info":"⊢≑≆⫏≰2020212=⫏≰100122011","layer":3},{"info":"⫏≰210020001↞⋁⫏≰100122011=NaN","layer":2},{"info":"⫏≰22210201⫘⫏≰102200201=⫏≰112012200100201","layer":3},{"info":"⫏≰2101122⨻⩈⩔⫏≰12222212=⫏≰21121220","layer":3},{"info":"⫏≰112012200100201⫸⊐⫏≰21121220=⫏≰1010022221","layer":2},{"info":"NaN⨐⩸⫘⫏≰1010022221=NaN","layer":1},{"info":"⫏≰2111⋭≵NaN=⫏≰-10201","layer":0}]}
{"id":139,"expression_no_base_symbol":"((⋃($1467$⪡$3089$))⨫⇇↔(($2664$⩟)⊲⩕⊾($3660$∽$1939$)))⇍⊗($4672$⫲≸⪮$1336$∷)≨($2986$≹⇙⪍$1135$⊿∆)","expression":"((⋃(⫏≰2000100⪡⫏≰11020102))⨫⇇↔((⫏≰10122200⩟)⊲⩕⊾(⫏≰12000120∽⫏≰2122211)))⇍⊗(⫏≰20102001⫲≸⪮⫏≰1211111∷)≨(⫏≰11002121≹⇙⪍⫏≰1120001⊿∆)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5300,"operation_count":12,"complexity_ratio":441.6666666666667,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1467,"base":3},"right_expr":{"type":"numeric_atoms","value":3089,"base":3}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":2664,"base":3}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3660,"base":3},"right_expr":{"type":"numeric_atoms","value":1939,"base":3}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4672,"base":3},"right_expr":{"type":"numeric_atoms","value":1336,"base":3}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2986,"base":3},"right_expr":{"type":"numeric_atoms","value":1135,"base":3}}}}},"used_operators":["5uvYHDjeKN","LXhwmt4mBO","3mBM5G4a3l","oraRL2iQuh","DmTXOeWf9t","fOIeswaMU4","y4ImoPnbV5","0KMCeP1Jsh","nFAOW8KTqp","P3lXMJvFrc","fv3ZujxkQL","AHs5Up7iyr"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","g55IO6H4Gj","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","NTOWxs364D","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","dWAJyo7jo9"],"result":"⫏≰-100001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":4},{"info":"number node, value=3089","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=3089, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=316","layer":2},{"info":"number node, value=2664","layer":4},{"info":"compute unary expreesion, input=2664, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-22749","layer":3},{"info":"number node, value=3660","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=3660, right_input=1939, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-23939","layer":3},{"info":"compute binary expreesion, left_input=-22749, right_input=-23939, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=298262","layer":2},{"info":"compute binary expreesion, left_input=316, right_input=298262, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=4672","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=4672, right_input=1336, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4672","layer":3},{"info":"compute unary expreesion, input=4672, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=14016","layer":2},{"info":"number node, value=2986","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=1135, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14016, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-137684","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=-137684, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":3,"result_base":3,"text":"((⋃(⫏≰2000100⪡⫏≰11020102))⨫⇇↔((⫏≰10122200⩟)⊲⩕⊾(⫏≰12000120∽⫏≰2122211)))⇍⊗(⫏≰20102001⫲≸⪮⫏≰1211111∷)≨(⫏≰11002121≹⇙⪍⫏≰1120001⊿∆)=⫏≰-100001","reverse_text":"⫏≰-100001=((⋃(⫏≰2000100⪡⫏≰11020102))⨫⇇↔((⫏≰10122200⩟)⊲⩕⊾(⫏≰12000120∽⫏≰2122211)))⇍⊗(⫏≰20102001⫲≸⪮⫏≰1211111∷)≨(⫏≰11002121≹⇙⪍⫏≰1120001⊿∆)","cot":[{"info":"⫏≰2000100⪡⫏≰11020102=⫏≰10222","layer":3},{"info":"⋃⫏≰10222=⫏≰102201","layer":2},{"info":"⫏≰10122200⩟=⫏≰-1011012120","layer":3},{"info":"⫏≰12000120∽⫏≰2122211=⫏≰-1012211122","layer":3},{"info":"⫏≰-1011012120⊲⩕⊾⫏≰-1012211122=⫏≰120011010202","layer":2},{"info":"⫏≰102201⨫⇇↔⫏≰120011010202=⫏≰-201112","layer":1},{"info":"⫏≰20102001⫲≸⪮⫏≰1211111=⫏≰20102001","layer":3},{"info":"⫏≰20102001∷=⫏≰201020010","layer":2},{"info":"⫏≰11002121≹⇙⪍⫏≰1120001=NaN","layer":3},{"info":"NaN⊿∆=NaN","layer":2},{"info":"⫏≰201020010≨NaN=⫏≰-20222212102","layer":1},{"info":"⫏≰-201112⇍⊗⫏≰-20222212102=⫏≰-100001","layer":0}]}
{"id":140,"expression_no_base_symbol":"(($1901$⪶≀⋏$3989$∷$2442$⊢$4235$)⊍)↬⩅∪","expression":"((⫏≰2121102⪶≀⋏⫏≰12110202∷⫏≰10100110⊢⫏≰12210212)⊍)↬⩅∪","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":65,"operation_count":5,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1901,"base":3},"right_expr":{"type":"numeric_atoms","value":3989,"base":3}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2442,"base":3},"right_expr":{"type":"numeric_atoms","value":4235,"base":3}}}}},"used_operators":["VJ330n2nnx","3nqY3DE9mg","D3AQDKkPcf","zR4jO40bMj","5twsqlHp2o"],"dependent_operators":["D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⫏≰-12202001100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1901","layer":4},{"info":"number node, value=3989","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=3989, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13913","layer":3},{"info":"number node, value=2442","layer":4},{"info":"number node, value=4235","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=4235, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5128","layer":3},{"info":"compute binary expreesion, left_input=-13913, right_input=-5128, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=13119","layer":2},{"info":"compute unary expreesion, input=13119, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=37677","layer":1},{"info":"compute unary expreesion, input=37677, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-113031","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2121102⪶≀⋏⫏≰12110202∷⫏≰10100110⊢⫏≰12210212)⊍)↬⩅∪=⫏≰-12202001100","reverse_text":"⫏≰-12202001100=((⫏≰2121102⪶≀⋏⫏≰12110202∷⫏≰10100110⊢⫏≰12210212)⊍)↬⩅∪","cot":[{"info":"⫏≰2121102⪶≀⋏⫏≰12110202=⫏≰-201002022","layer":3},{"info":"⫏≰10100110⊢⫏≰12210212=⫏≰-21000221","layer":3},{"info":"⫏≰-201002022∷⫏≰-21000221=⫏≰122222220","layer":2},{"info":"⫏≰122222220⊍=⫏≰1220200110","layer":1},{"info":"⫏≰1220200110↬⩅∪=⫏≰-12202001100","layer":0}]}
{"id":141,"expression_no_base_symbol":"(≋(⨆≐≲($2179$∊∟⩊$3301$)))⨎($5962$⨕⋳)↼⊘⨖($2523$∀⇚≩$2364$)⇌⫙⪟(⨂⪏⇭$1569$⨥⫆$1943$)","expression":"(≋(⨆≐≲(⫏≰2222201∊∟⩊⫏≰11112021)))⨎(⫏≰22011211⨕⋳)↼⊘⨖(⫏≰10110110∀⇚≩⫏≰10020120)⇌⫙⪟(⨂⪏⇭⫏≰2011010⨥⫆⫏≰2122222)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17924,"operation_count":10,"complexity_ratio":1792.4,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2179,"base":3},"right_expr":{"type":"numeric_atoms","value":3301,"base":3}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":5962,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2523,"base":3},"right_expr":{"type":"numeric_atoms","value":2364,"base":3}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1569,"base":3},"right_expr":{"type":"numeric_atoms","value":1943,"base":3}}}}},"used_operators":["rJVOvQCfKK","61wBmkZwlr","Bi9z9uYZqW","ddLRYrp01A","AFVx7xoS7T","bPywburJMS","4X4GscPmMf","LRNGc0VcxI","AYdpE9sXAk","yXekIHxTD4"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","7j4O788W3g","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","X99M06cbEe","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":4},{"info":"number node, value=3301","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=3301, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3301","layer":3},{"info":"compute unary expreesion, input=3301, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=35792664","layer":2},{"info":"compute unary expreesion, input=35792664, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=35792664","layer":1},{"info":"number node, value=5962","layer":4},{"info":"compute unary expreesion, input=5962, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=444284","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=2364, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=444284, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"number node, value=1569","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=1943, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3762","layer":3},{"info":"compute unary expreesion, input=3762, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=10307","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10307, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=35792664, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≋(⨆≐≲(⫏≰2222201∊∟⩊⫏≰11112021)))⨎(⫏≰22011211⨕⋳)↼⊘⨖(⫏≰10110110∀⇚≩⫏≰10020120)⇌⫙⪟(⨂⪏⇭⫏≰2011010⨥⫆⫏≰2122222)=NaN","reverse_text":"NaN=(≋(⨆≐≲(⫏≰2222201∊∟⩊⫏≰11112021)))⨎(⫏≰22011211⨕⋳)↼⊘⨖(⫏≰10110110∀⇚≩⫏≰10020120)⇌⫙⪟(⨂⪏⇭⫏≰2011010⨥⫆⫏≰2122222)","cot":[{"info":"⫏≰2222201∊∟⩊⫏≰11112021=⫏≰11112021","layer":3},{"info":"⨆≐≲⫏≰11112021=⫏≰2111100110022020","layer":2},{"info":"≋⫏≰2111100110022020=⫏≰2111100110022020","layer":1},{"info":"⫏≰22011211⨕⋳=⫏≰211120102222","layer":3},{"info":"⫏≰10110110∀⇚≩⫏≰10020120=NaN","layer":3},{"info":"⫏≰211120102222↼⊘⨖NaN=NaN","layer":2},{"info":"⫏≰2011010⨥⫆⫏≰2122222=⫏≰12011100","layer":3},{"info":"⨂⪏⇭⫏≰12011100=⫏≰112010202","layer":2},{"info":"NaN⇌⫙⪟⫏≰112010202=NaN","layer":1},{"info":"⫏≰2111100110022020⨎NaN=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"(($3476$⨹)∙⊟(⨈⪑$1475$))⪭((⪲⇎$1737$)∖($2681$⇔⨋))⩹(($3552$⋛$2724$)⫻⋑⊟)↹⊜($1769$⪡$1568$⪄(⫡⇟⇯$2061$))","expression":"((⫏≰11202202⨹)∙⊟(⨈⪑⫏≰2000122))⪭((⪲⇎⫏≰2101100)∖(⫏≰10200022⇔⨋))⩹((⫏≰11212120⋛⫏≰10201220)⫻⋑⊟)↹⊜(⫏≰2102112⪡⫏≰2011002⪄(⫡⇟⇯⫏≰2211100))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12148,"operation_count":14,"complexity_ratio":867.7142857142857,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":3476,"base":3}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1475,"base":3}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1737,"base":3}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":2681,"base":3}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3552,"base":3},"right_expr":{"type":"numeric_atoms","value":2724,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1769,"base":3},"right_expr":{"type":"numeric_atoms","value":1568,"base":3}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2061,"base":3}}}}},"used_operators":["2Wsdkap16l","j9kHMeSvPp","SxTAKzQCrw","UnCoSGIALn","mp94q5OcYM","tXD093vOjl","XPYlsWDdGa","uBihLCJcMX","9bazX3JMtO","o575Zjdmzy","YbUVn0Rbpy","SUmda5xLS4","oraRL2iQuh","qWUSsah53b"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","COABgblf1C","xUOZtlo3hN","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","mp7IySMOzn","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DZ8iAZOCBD","P8v4zCKN1o"],"result":"⫏≰2111121222212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3476","layer":4},{"info":"compute unary expreesion, input=3476, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=6952","layer":3},{"info":"number node, value=1475","layer":4},{"info":"compute unary expreesion, input=1475, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=6952, right_input=868, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=100222","layer":2},{"info":"number node, value=1737","layer":4},{"info":"compute unary expreesion, input=1737, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3474","layer":3},{"info":"number node, value=2681","layer":4},{"info":"compute unary expreesion, input=2681, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=15016","layer":3},{"info":"compute binary expreesion, left_input=3474, right_input=15016, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=100222, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=3552","layer":4},{"info":"number node, value=2724","layer":4},{"info":"compute binary expreesion, left_input=3552, right_input=2724, 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=-100224","layer":3},{"info":"compute unary expreesion, input=-100224, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=601854","layer":2},{"info":"number node, value=1769","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=1568, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2061","layer":4},{"info":"compute unary expreesion, input=2061, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4990","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=4990, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-31885","layer":2},{"info":"compute binary expreesion, left_input=601854, right_input=-31885, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=1331152","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=1331152, 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=1331150","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11202202⨹)∙⊟(⨈⪑⫏≰2000122))⪭((⪲⇎⫏≰2101100)∖(⫏≰10200022⇔⨋))⩹((⫏≰11212120⋛⫏≰10201220)⫻⋑⊟)↹⊜(⫏≰2102112⪡⫏≰2011002⪄(⫡⇟⇯⫏≰2211100))=⫏≰2111121222212","reverse_text":"⫏≰2111121222212=((⫏≰11202202⨹)∙⊟(⨈⪑⫏≰2000122))⪭((⪲⇎⫏≰2101100)∖(⫏≰10200022⇔⨋))⩹((⫏≰11212120⋛⫏≰10201220)⫻⋑⊟)↹⊜(⫏≰2102112⪡⫏≰2011002⪄(⫡⇟⇯⫏≰2211100))","cot":[{"info":"⫏≰11202202⨹=⫏≰100112111","layer":3},{"info":"⨈⪑⫏≰2000122=⫏≰1012011","layer":3},{"info":"⫏≰100112111∙⊟⫏≰1012011=⫏≰12002110221","layer":2},{"info":"⪲⇎⫏≰2101100=⫏≰11202200","layer":3},{"info":"⫏≰10200022⇔⨋=⫏≰202121011","layer":3},{"info":"⫏≰11202200∖⫏≰202121011=⫏≰0","layer":2},{"info":"⫏≰12002110221⪭⫏≰0=⫏≰12","layer":1},{"info":"⫏≰11212120⋛⫏≰10201220=⫏≰-12002111000","layer":3},{"info":"⫏≰-12002111000⫻⋑⊟=⫏≰1010120120220","layer":2},{"info":"⫏≰2102112⪡⫏≰2011002=⫏≰10222","layer":3},{"info":"⫡⇟⇯⫏≰2211100=⫏≰20211211","layer":3},{"info":"⫏≰10222⪄⫏≰20211211=⫏≰-1121201221","layer":2},{"info":"⫏≰1010120120220↹⊜⫏≰-1121201221=⫏≰2111121222221","layer":1},{"info":"⫏≰12⩹⫏≰2111121222221=⫏≰2111121222212","layer":0}]}
{"id":143,"expression_no_base_symbol":"($7015$∇⊂⋱$2585$⋷$2817$∷$3551$)⨽∌($2308$⪘⫢$5585$⇼⇔∾(→⩰$1566$))⨔⇊((⫇$1649$)⪕$4436$≁↽≥$6254$⨸⪁($3062$⩁⩘$1186$)⩖⊿($1005$∘$2414$))","expression":"(⫏≰100121211∇⊂⋱⫏≰10112202⋷⫏≰10212100∷⫏≰11212112)⨽∌(⫏≰10011111⪘⫢⫏≰21122212⇼⇔∾(→⩰⫏≰2011000))⨔⇊((⫇⫏≰2021002)⪕⫏≰20002022≁↽≥⫏≰22120122⨸⪁(⫏≰11012102⩁⩘⫏≰1121221)⩖⊿(⫏≰1101020∘⫏≰10022102))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2160,"operation_count":15,"complexity_ratio":144.0,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7015,"base":3},"right_expr":{"type":"numeric_atoms","value":2585,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2817,"base":3},"right_expr":{"type":"numeric_atoms","value":3551,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2308,"base":3},"right_expr":{"type":"numeric_atoms","value":5585,"base":3}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1566,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1649,"base":3}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4436,"base":3},"right_expr":{"type":"numeric_atoms","value":6254,"base":3}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3062,"base":3},"right_expr":{"type":"numeric_atoms","value":1186,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1005,"base":3},"right_expr":{"type":"numeric_atoms","value":2414,"base":3}}}}},"used_operators":["JclMnS0uGI","9samAPKr6k","23Mk6UjR3U","nhYeJWJD5X","D3AQDKkPcf","tifHPKVTfV","oacrs7FA3X","o8Pngz0Tml","g55IO6H4Gj","umQnsF7QlU","YjI8oCXuph","ncHt1X6cMc","RZ5CV9rWsJ","gub5Cegaqo","Z5m6OM72h2"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DpFCA1CohY","IWmyXbctLI","eH2TOUuTDT","rysDP5nf3Z"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7015","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=7015, right_input=2585, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13484","layer":3},{"info":"number node, value=2817","layer":4},{"info":"number node, value=3551","layer":4},{"info":"compute binary expreesion, left_input=2817, right_input=3551, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3551","layer":3},{"info":"compute binary expreesion, left_input=13484, right_input=3551, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-6382","layer":2},{"info":"number node, value=2308","layer":4},{"info":"number node, value=5585","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=5585, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4492","layer":3},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4492, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6382, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2084","layer":3},{"info":"number node, value=4436","layer":4},{"info":"number node, value=6254","layer":4},{"info":"compute binary expreesion, left_input=4436, right_input=6254, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=76472","layer":3},{"info":"compute binary expreesion, left_input=-2084, right_input=76472, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=3062","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=1186, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5692","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2414, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2010","layer":3},{"info":"compute binary expreesion, left_input=5692, right_input=2010, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-6770","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=-6770, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-13650","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13650, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100121211∇⊂⋱⫏≰10112202⋷⫏≰10212100∷⫏≰11212112)⨽∌(⫏≰10011111⪘⫢⫏≰21122212⇼⇔∾(→⩰⫏≰2011000))⨔⇊((⫇⫏≰2021002)⪕⫏≰20002022≁↽≥⫏≰22120122⨸⪁(⫏≰11012102⩁⩘⫏≰1121221)⩖⊿(⫏≰1101020∘⫏≰10022102))=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰100121211∇⊂⋱⫏≰10112202⋷⫏≰10212100∷⫏≰11212112)⨽∌(⫏≰10011111⪘⫢⫏≰21122212⇼⇔∾(→⩰⫏≰2011000))⨔⇊((⫇⫏≰2021002)⪕⫏≰20002022≁↽≥⫏≰22120122⨸⪁(⫏≰11012102⩁⩘⫏≰1121221)⩖⊿(⫏≰1101020∘⫏≰10022102))","cot":[{"info":"⫏≰100121211∇⊂⋱⫏≰10112202=⫏≰200111102","layer":3},{"info":"⫏≰10212100∷⫏≰11212112=⫏≰11212112","layer":3},{"info":"⫏≰200111102⋷⫏≰11212112=⫏≰-22202101","layer":2},{"info":"⫏≰10011111⪘⫢⫏≰21122212=⫏≰20011101","layer":3},{"info":"→⩰⫏≰2011000=NaN","layer":3},{"info":"⫏≰20011101⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰-22202101⨽∌NaN=NaN","layer":1},{"info":"⫇⫏≰2021002=⫏≰-2212012","layer":3},{"info":"⫏≰20002022≁↽≥⫏≰22120122=⫏≰10212220022","layer":3},{"info":"⫏≰-2212012⪕⫏≰10212220022=⫏≰-2001","layer":2},{"info":"⫏≰11012102⩁⩘⫏≰1121221=⫏≰21210211","layer":3},{"info":"⫏≰1101020∘⫏≰10022102=⫏≰2202110","layer":3},{"info":"⫏≰21210211⩖⊿⫏≰2202110=⫏≰-100021202","layer":2},{"info":"⫏≰-2001⨸⪁⫏≰-100021202=⫏≰-200201120","layer":1},{"info":"NaN⨔⇊⫏≰-200201120=⫏≰2111","layer":0}]}
{"id":144,"expression_no_base_symbol":"⊁⨺((⋣($7416$⨎$2312$))⩌⋺((≑⋹$1743$)≬⋮$5308$⨜⨶$1046$))","expression":"⊁⨺((⋣(⫏≰101011200⨎⫏≰10011122))⩌⋺((≑⋹⫏≰2101120)≬⋮⫏≰21021121⨜⨶⫏≰1102202))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":334,"operation_count":7,"complexity_ratio":47.714285714285715,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7416,"base":3},"right_expr":{"type":"numeric_atoms","value":2312,"base":3}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1743,"base":3}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5308,"base":3},"right_expr":{"type":"numeric_atoms","value":1046,"base":3}}}}},"used_operators":["PxiHyQbrIp","g7Hmc5v1ko","zQWRhDnn8F","rJVOvQCfKK","kbkesczE7y","6B9nyZLogK","HiPekx5b7W"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7416","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=7416, right_input=2312, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2312","layer":3},{"info":"compute unary expreesion, input=2312, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-679633","layer":2},{"info":"number node, value=1743","layer":4},{"info":"compute unary expreesion, input=1743, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=5308","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=5308, right_input=1046, 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=-1836","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-1836, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-679633, right_input=868, 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=678644","layer":1},{"info":"compute unary expreesion, input=678644, 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":0}],"base":3,"result_base":3,"text":"⊁⨺((⋣(⫏≰101011200⨎⫏≰10011122))⩌⋺((≑⋹⫏≰2101120)≬⋮⫏≰21021121⨜⨶⫏≰1102202))=⫏≰12221","reverse_text":"⫏≰12221=⊁⨺((⋣(⫏≰101011200⨎⫏≰10011122))⩌⋺((≑⋹⫏≰2101120)≬⋮⫏≰21021121⨜⨶⫏≰1102202))","cot":[{"info":"⫏≰101011200⨎⫏≰10011122=⫏≰10011122","layer":3},{"info":"⋣⫏≰10011122=⫏≰-1021112021121","layer":2},{"info":"≑⋹⫏≰2101120=⫏≰2021010","layer":3},{"info":"⫏≰21021121⨜⨶⫏≰1102202=⫏≰-2112000","layer":3},{"info":"⫏≰2021010≬⋮⫏≰-2112000=⫏≰1012011","layer":2},{"info":"⫏≰-1021112021121⩌⋺⫏≰1012011=⫏≰1021110220222","layer":1},{"info":"⊁⨺⫏≰1021110220222=⫏≰12221","layer":0}]}
{"id":145,"expression_no_base_symbol":"(⫡⇟⇯(($7243$⊴⇁⪶)⫥∨⫟($6038$⊍)))⫿","expression":"(⫡⇟⇯((⫏≰100221021⊴⇁⪶)⫥∨⫟(⫏≰22021122⊍)))⫿","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7574,"operation_count":5,"complexity_ratio":1514.8,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":7243,"base":3}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":6038,"base":3}}}}},"used_operators":["9tKT6PmtkH","qWUSsah53b","KYD54nUTWz","oo9mF6JIpo","3nqY3DE9mg"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","DZ8iAZOCBD","P8v4zCKN1o","8HhzD0ZcuI","rGHVDoGpnC","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7243","layer":4},{"info":"compute unary expreesion, input=7243, 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=151668","layer":3},{"info":"number node, value=6038","layer":4},{"info":"compute unary expreesion, input=6038, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=16434","layer":3},{"info":"compute binary expreesion, left_input=151668, right_input=16434, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫡⇟⇯((⫏≰100221021⊴⇁⪶)⫥∨⫟(⫏≰22021122⊍)))⫿=NaN","reverse_text":"NaN=(⫡⇟⇯((⫏≰100221021⊴⇁⪶)⫥∨⫟(⫏≰22021122⊍)))⫿","cot":[{"info":"⫏≰100221021⊴⇁⪶=⫏≰21201001100","layer":3},{"info":"⫏≰22021122⊍=⫏≰211112200","layer":3},{"info":"⫏≰21201001100⫥∨⫟⫏≰211112200=NaN","layer":2},{"info":"⫡⇟⇯NaN=NaN","layer":1},{"info":"NaN⫿=NaN","layer":0}]}
{"id":146,"expression_no_base_symbol":"(((≦∁$1308$)≬⋮($1305$↸$4155$))↬(↯⪼(∟⋨$6188$)))∇⊂⋱($5805$⫞⩸⩒$3045$⊴($1891$⋭≵$3628$)⨚⇆(⫛⫱⨽(→⩰$2988$)))","expression":"(((≦∁⫏≰1210110)≬⋮(⫏≰1210100↸⫏≰12200220))↬(↯⪼(∟⋨⫏≰22111012)))∇⊂⋱(⫏≰21222000⫞⩸⩒⫏≰11011210⊴(⫏≰2121001⋭≵⫏≰11222101)⨚⇆(⫛⫱⨽(→⩰⫏≰11002200)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12507,"operation_count":13,"complexity_ratio":962.0769230769231,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1308,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1305,"base":3},"right_expr":{"type":"numeric_atoms","value":4155,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":6188,"base":3}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5805,"base":3},"right_expr":{"type":"numeric_atoms","value":3045,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1891,"base":3},"right_expr":{"type":"numeric_atoms","value":3628,"base":3}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2988,"base":3}}}}},"used_operators":["nhYeJWJD5X","B5M0gjZbta","kbkesczE7y","9ICcGScMcE","1eCjFl0mb9","8jW3W4yZS5","ctOc4cKSDt","lwHaAYXP2r","Nsiff2A1zJ","XGcMNugi78","jBncVCNhdl","DlLNRPXxWL","o8Pngz0Tml"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eLAdDNolq6","tmPS8pqC7x","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","dWAJyo7jo9","14qkJME0vr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rGHVDoGpnC","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1308","layer":4},{"info":"compute unary expreesion, input=1308, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1308","layer":3},{"info":"number node, value=1305","layer":4},{"info":"number node, value=4155","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=4155, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1305","layer":3},{"info":"compute binary expreesion, left_input=1308, right_input=1305, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=6188","layer":4},{"info":"compute unary expreesion, input=6188, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-5704","layer":3},{"info":"compute unary expreesion, input=-5704, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=10491","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=10491, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5805","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=5805, right_input=3045, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3045","layer":3},{"info":"number node, value=1891","layer":4},{"info":"number node, value=3628","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=3628, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=3045, right_input=67, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2988","layer":4},{"info":"compute unary expreesion, input=2988, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((≦∁⫏≰1210110)≬⋮(⫏≰1210100↸⫏≰12200220))↬(↯⪼(∟⋨⫏≰22111012)))∇⊂⋱(⫏≰21222000⫞⩸⩒⫏≰11011210⊴(⫏≰2121001⋭≵⫏≰11222101)⨚⇆(⫛⫱⨽(→⩰⫏≰11002200)))=NaN","reverse_text":"NaN=(((≦∁⫏≰1210110)≬⋮(⫏≰1210100↸⫏≰12200220))↬(↯⪼(∟⋨⫏≰22111012)))∇⊂⋱(⫏≰21222000⫞⩸⩒⫏≰11011210⊴(⫏≰2121001⋭≵⫏≰11222101)⨚⇆(⫛⫱⨽(→⩰⫏≰11002200)))","cot":[{"info":"≦∁⫏≰1210110=⫏≰1210110","layer":3},{"info":"⫏≰1210100↸⫏≰12200220=⫏≰1210100","layer":3},{"info":"⫏≰1210110≬⋮⫏≰1210100=⫏≰1012011","layer":2},{"info":"∟⋨⫏≰22111012=⫏≰-21211021","layer":3},{"info":"↯⪼⫏≰-21211021=⫏≰112101120","layer":2},{"info":"⫏≰1012011↬⫏≰112101120=NaN","layer":1},{"info":"⫏≰21222000⫞⩸⩒⫏≰11011210=⫏≰11011210","layer":3},{"info":"⫏≰2121001⋭≵⫏≰11222101=⫏≰2111","layer":3},{"info":"⫏≰11011210⊴⫏≰2111=NaN","layer":2},{"info":"→⩰⫏≰11002200=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"NaN⨚⇆NaN=NaN","layer":1},{"info":"NaN∇⊂⋱NaN=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"(($4367$⊋$4767$↪⪝)≀⫉((⨮↦↱$4793$)∵≐))⫑%∭","expression":"((⫏≰12222202⊋⫏≰20112120↪⪝)≀⫉((⨮↦↱⫏≰20120112)∵≐))⫑%∭","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6313,"operation_count":6,"complexity_ratio":1052.1666666666667,"tree":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4367,"base":3},"right_expr":{"type":"numeric_atoms","value":4767,"base":3}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4793,"base":3}}}}},"used_operators":["xUx7qlDO4z","oZj3VtZNQx","l07mrZUIn9","W4tP9CfskL","59igzFyhWz","sYcpBQ0cFf"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9HNa5Wba9A","2DDjHMKMc0","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4367","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=4767, 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=-13534612","layer":3},{"info":"compute unary expreesion, input=-13534612, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":2},{"info":"number node, value=4793","layer":4},{"info":"compute unary expreesion, input=4793, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-55501611","layer":3},{"info":"compute unary expreesion, input=-55501611, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=55501161","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=55501161, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12222202⊋⫏≰20112120↪⪝)≀⫉((⨮↦↱⫏≰20120112)∵≐))⫑%∭=NaN","reverse_text":"NaN=((⫏≰12222202⊋⫏≰20112120↪⪝)≀⫉((⨮↦↱⫏≰20120112)∵≐))⫑%∭","cot":[{"info":"⫏≰12222202⊋⫏≰20112120=⫏≰-221110121222221","layer":3},{"info":"⫏≰-221110121222221↪⪝=-Inf","layer":2},{"info":"⨮↦↱⫏≰20120112=⫏≰-10212102202220020","layer":3},{"info":"⫏≰-10212102202220020∵≐=⫏≰10212102202021120","layer":2},{"info":"-Inf≀⫉⫏≰10212102202021120=NaN","layer":1},{"info":"NaN⫑%∭=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"((∓$5847$)≁↽≥($6232$⨪↰⇹$1970$)⫲≸⪮((∑⇻≧$6233$)⪊≅))∊∟⩊(($1016$⩷∴$1340$⋓($2967$⨵⪆$1221$))⩅⪻⪻)","expression":"((∓⫏≰22000120)≁↽≥(⫏≰22112211⨪↰⇹⫏≰2200222)⫲≸⪮((∑⇻≧⫏≰22112212)⪊≅))∊∟⩊((⫏≰1101122⩷∴⫏≰1211122⋓(⫏≰11001220⨵⪆⫏≰1200020))⩅⪻⪻)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6369,"operation_count":11,"complexity_ratio":579.0,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":5847,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6232,"base":3},"right_expr":{"type":"numeric_atoms","value":1970,"base":3}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":6233,"base":3}}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1016,"base":3},"right_expr":{"type":"numeric_atoms","value":1340,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2967,"base":3},"right_expr":{"type":"numeric_atoms","value":1221,"base":3}}}}},"used_operators":["ddLRYrp01A","P3lXMJvFrc","ncHt1X6cMc","OwUj7dcsQK","tmPS8pqC7x","bjFbhXSADs","l1M9WJ3V7u","kHoXpA7yos","T2fj7uvVaJ","9FxExcQeMw","2DQ55sFlQl"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","oWn0xqSxBt","3Oe9XWJUTD","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rJVOvQCfKK","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰210022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5847","layer":4},{"info":"compute unary expreesion, input=5847, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-92577","layer":3},{"info":"number node, value=6232","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=6232, right_input=1970, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6232","layer":3},{"info":"compute binary expreesion, left_input=-92577, right_input=6232, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-1378723","layer":2},{"info":"number node, value=6233","layer":4},{"info":"compute unary expreesion, input=6233, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute unary expreesion, input=-852, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1378723, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=1016","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1340, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-680","layer":3},{"info":"number node, value=2967","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=1221, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-680, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=575","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=575, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=575","layer":0}],"base":3,"result_base":3,"text":"((∓⫏≰22000120)≁↽≥(⫏≰22112211⨪↰⇹⫏≰2200222)⫲≸⪮((∑⇻≧⫏≰22112212)⪊≅))∊∟⩊((⫏≰1101122⩷∴⫏≰1211122⋓(⫏≰11001220⨵⪆⫏≰1200020))⩅⪻⪻)=⫏≰210022","reverse_text":"⫏≰210022=((∓⫏≰22000120)≁↽≥(⫏≰22112211⨪↰⇹⫏≰2200222)⫲≸⪮((∑⇻≧⫏≰22112212)⪊≅))∊∟⩊((⫏≰1101122⩷∴⫏≰1211122⋓(⫏≰11001220⨵⪆⫏≰1200020))⩅⪻⪻)","cot":[{"info":"∓⫏≰22000120=⫏≰-11200222210","layer":3},{"info":"⫏≰22112211⨪↰⇹⫏≰2200222=⫏≰22112211","layer":3},{"info":"⫏≰-11200222210≁↽≥⫏≰22112211=⫏≰-2121001020211","layer":2},{"info":"∑⇻≧⫏≰22112212=⫏≰-1011120","layer":3},{"info":"⫏≰-1011120⪊≅=⫏≰0","layer":2},{"info":"⫏≰-2121001020211⫲≸⪮⫏≰0=NaN","layer":1},{"info":"⫏≰1101122⩷∴⫏≰1211122=⫏≰-221012","layer":3},{"info":"⫏≰11001220⨵⪆⫏≰1200020=⫏≰12221","layer":3},{"info":"⫏≰-221012⋓⫏≰12221=⫏≰0","layer":2},{"info":"⫏≰0⩅⪻⪻=⫏≰210022","layer":1},{"info":"NaN∊∟⩊⫏≰210022=⫏≰210022","layer":0}]}
{"id":149,"expression_no_base_symbol":"((⇖$7366$)∸)∌↝($2918$⪭$1956$)⨜⨶($1210$⫘$3701$)⋅⇍$1585$⨼⩣$2750$⩌⋺(↽≂$3916$)∣($1850$⫸⊐$4118$)∣$3510$≁↽≥$4762$","expression":"((⇖⫏≰101002211)∸)∌↝(⫏≰11000002⪭⫏≰2200110)⨜⨶(⫏≰1122211⫘⫏≰12002002)⋅⇍⫏≰2011201⨼⩣⫏≰10202212⩌⋺(↽≂⫏≰12101001)∣(⫏≰2112112⫸⊐⫏≰12122112)∣⫏≰11211000≁↽≥⫏≰20112101","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2076,"operation_count":14,"complexity_ratio":148.28571428571428,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":7366,"base":3}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2918,"base":3},"right_expr":{"type":"numeric_atoms","value":1956,"base":3}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1210,"base":3},"right_expr":{"type":"numeric_atoms","value":3701,"base":3}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1585,"base":3},"right_expr":{"type":"numeric_atoms","value":2750,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3916,"base":3}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1850,"base":3},"right_expr":{"type":"numeric_atoms","value":4118,"base":3}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3510,"base":3},"right_expr":{"type":"numeric_atoms","value":4762,"base":3}}}}},"used_operators":["AdZkA7nFnk","9Isq31Ruls","o20kRiQErp","tfWHHpNKUN","HiPekx5b7W","j9kHMeSvPp","48vC8HMD2b","PPChnnnBFF","g7Hmc5v1ko","JxwMv5le6e","u6S6b8DprG","mqXw5SEYmG","ncHt1X6cMc"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","2DQ55sFlQl","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","COABgblf1C","xUOZtlo3hN","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⫏≰-1021100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7366","layer":4},{"info":"compute unary expreesion, input=7366, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=2918","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=2918, right_input=1956, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=3701, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1427365","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=1427365, 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=-2854474","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-2854474, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=354","layer":1},{"info":"number node, value=1585","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=2750, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3916","layer":4},{"info":"compute unary expreesion, input=3916, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7832","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7832, 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=nan","layer":2},{"info":"number node, value=1850","layer":4},{"info":"number node, value=4118","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=4118, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16347","layer":3},{"info":"number node, value=3510","layer":4},{"info":"number node, value=4762","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=4762, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=62582","layer":3},{"info":"compute binary expreesion, left_input=16347, right_input=62582, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=16347","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16347, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=354, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-927","layer":0}],"base":3,"result_base":3,"text":"((⇖⫏≰101002211)∸)∌↝(⫏≰11000002⪭⫏≰2200110)⨜⨶(⫏≰1122211⫘⫏≰12002002)⋅⇍⫏≰2011201⨼⩣⫏≰10202212⩌⋺(↽≂⫏≰12101001)∣(⫏≰2112112⫸⊐⫏≰12122112)∣⫏≰11211000≁↽≥⫏≰20112101=⫏≰-1021100","reverse_text":"⫏≰-1021100=((⇖⫏≰101002211)∸)∌↝(⫏≰11000002⪭⫏≰2200110)⨜⨶(⫏≰1122211⫘⫏≰12002002)⋅⇍⫏≰2011201⨼⩣⫏≰10202212⩌⋺(↽≂⫏≰12101001)∣(⫏≰2112112⫸⊐⫏≰12122112)∣⫏≰11211000≁↽≥⫏≰20112101","cot":[{"info":"⇖⫏≰101002211=⫏≰12221","layer":3},{"info":"⫏≰12221∸=⫏≰20120","layer":2},{"info":"⫏≰11000002⪭⫏≰2200110=⫏≰12","layer":3},{"info":"⫏≰1122211⫘⫏≰12002002=⫏≰2200111222101","layer":3},{"info":"⫏≰12⨜⨶⫏≰2200111222101=⫏≰-12101000121021","layer":2},{"info":"⫏≰20120∌↝⫏≰-12101000121021=⫏≰111010","layer":1},{"info":"⫏≰2011201⨼⩣⫏≰10202212=NaN","layer":3},{"info":"↽≂⫏≰12101001=⫏≰-101202002","layer":3},{"info":"NaN⩌⋺⫏≰-101202002=NaN","layer":2},{"info":"⫏≰2112112⫸⊐⫏≰12122112=⫏≰211102110","layer":3},{"info":"⫏≰11211000≁↽≥⫏≰20112101=⫏≰10011211212","layer":3},{"info":"⫏≰211102110∣⫏≰10011211212=⫏≰211102110","layer":2},{"info":"NaN∣⫏≰211102110=NaN","layer":1},{"info":"⫏≰111010⋅⇍NaN=⫏≰-1021100","layer":0}]}
{"id":150,"expression_no_base_symbol":"($4655$⇆⨓≜)⪒⊣⊆(⋎⨆$2024$)≹⇙⪍(($6365$⊓⋫)↸$2931$⩵∡$3264$)⋥≓≎(($2759$-$1970$)≃$1094$⨼⩣$1033$)⫣⪄⊒(⫟$6743$⊍⩺⋍$3519$)","expression":"(⫏≰20101102⇆⨓≜)⪒⊣⊆(⋎⨆⫏≰2202222)≹⇙⪍((⫏≰22201202⊓⋫)↸⫏≰11000120⩵∡⫏≰11110220)⋥≓≎((⫏≰10210012-⫏≰2200222)≃⫏≰1111112⨼⩣⫏≰1102021)⫣⪄⊒(⫟⫏≰100020202⊍⩺⋍⫏≰11211100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3594,"operation_count":14,"complexity_ratio":256.7142857142857,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":4655,"base":3}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2024,"base":3}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":6365,"base":3}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2931,"base":3},"right_expr":{"type":"numeric_atoms","value":3264,"base":3}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2759,"base":3},"right_expr":{"type":"numeric_atoms","value":1970,"base":3}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1094,"base":3},"right_expr":{"type":"numeric_atoms","value":1033,"base":3}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":6743,"base":3},"right_expr":{"type":"numeric_atoms","value":3519,"base":3}}}}},"used_operators":["Qy55tPpLXF","AHs5Up7iyr","eRqsBgTDFp","KvvgdUaMHJ","E64sFOc4tB","1eCjFl0mb9","IqGBaFP0uj","Y7wcNGrDQJ","RabNbG55vr","YbVcJGFEVW","rysDP5nf3Z","JxwMv5le6e","z4E1FaHLuy","OXDGMFPWZM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","sdazOOVcIp","W4YGzv6Whe","Uaa54Peajs","KYD54nUTWz","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4655","layer":4},{"info":"compute unary expreesion, input=4655, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"number node, value=6365","layer":4},{"info":"compute unary expreesion, input=6365, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-6493","layer":3},{"info":"number node, value=2931","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=3264, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2719","layer":3},{"info":"compute binary expreesion, left_input=-6493, right_input=-2719, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-6493","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6493, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2759","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=2759, right_input=1970, op_id = rysDP5nf3Z binary_op_definition= 'None', output=789","layer":3},{"info":"number node, value=1094","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1033, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=789, right_input=nan, 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=69","layer":2},{"info":"number node, value=6743","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=6743, right_input=3519, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=69, right_input=nan, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20101102⇆⨓≜)⪒⊣⊆(⋎⨆⫏≰2202222)≹⇙⪍((⫏≰22201202⊓⋫)↸⫏≰11000120⩵∡⫏≰11110220)⋥≓≎((⫏≰10210012-⫏≰2200222)≃⫏≰1111112⨼⩣⫏≰1102021)⫣⪄⊒(⫟⫏≰100020202⊍⩺⋍⫏≰11211100)=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰20101102⇆⨓≜)⪒⊣⊆(⋎⨆⫏≰2202222)≹⇙⪍((⫏≰22201202⊓⋫)↸⫏≰11000120⩵∡⫏≰11110220)⋥≓≎((⫏≰10210012-⫏≰2200222)≃⫏≰1111112⨼⩣⫏≰1102021)⫣⪄⊒(⫟⫏≰100020202⊍⩺⋍⫏≰11211100)","cot":[{"info":"⫏≰20101102⇆⨓≜=NaN","layer":3},{"info":"⋎⨆⫏≰2202222=⫏≰0","layer":3},{"info":"NaN⪒⊣⊆⫏≰0=NaN","layer":2},{"info":"⫏≰22201202⊓⋫=⫏≰-22220111","layer":3},{"info":"⫏≰11000120⩵∡⫏≰11110220=⫏≰-10201201","layer":3},{"info":"⫏≰-22220111↸⫏≰-10201201=⫏≰-22220111","layer":2},{"info":"NaN≹⇙⪍⫏≰-22220111=NaN","layer":1},{"info":"⫏≰10210012-⫏≰2200222=⫏≰1002020","layer":3},{"info":"⫏≰1111112⨼⩣⫏≰1102021=NaN","layer":3},{"info":"⫏≰1002020≃NaN=⫏≰2120","layer":2},{"info":"⫏≰100020202⊍⩺⋍⫏≰11211100=NaN","layer":3},{"info":"⫟NaN=NaN","layer":2},{"info":"⫏≰2120⫣⪄⊒NaN=⫏≰12221","layer":1},{"info":"NaN⋥≓≎⫏≰12221=⫏≰2111","layer":0}]}
{"id":151,"expression_no_base_symbol":"(⊖∈(⊽($1022$↞⋁$2343$)))↹⊜(∓(⫶⊄≣$1761$))∓⋝$1722$↳≱$3796$∓⋝($7296$⪶≀⋏$1393$)","expression":"(⊖∈(⊽(⫏≰1101212↞⋁⫏≰10012210)))↹⊜(∓(⫶⊄≣⫏≰2102020))∓⋝⫏≰2100210↳≱⫏≰12012121∓⋝(⫏≰101000020⪶≀⋏⫏≰1220121)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2211,"operation_count":10,"complexity_ratio":221.1,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1022,"base":3},"right_expr":{"type":"numeric_atoms","value":2343,"base":3}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1761,"base":3}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1722,"base":3},"right_expr":{"type":"numeric_atoms","value":3796,"base":3}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":7296,"base":3},"right_expr":{"type":"numeric_atoms","value":1393,"base":3}}}}},"used_operators":["9bazX3JMtO","YFxL8Sc2Zy","QxG7OkqoLX","RqrPlJkxDo","PoHhknlbAi","OwUj7dcsQK","wxb3vTeyAj","JwTKLfZU96","zR4jO40bMj"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=2343, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":1},{"info":"number node, value=1761","layer":4},{"info":"compute unary expreesion, input=1761, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=55848565","layer":3},{"info":"compute unary expreesion, input=55848565, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-837733347","layer":2},{"info":"number node, value=1722","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=3796, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=7296","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=7296, right_input=1393, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-24906","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-24906, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=-837733347, right_input=121, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-4778","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4778, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊖∈(⊽(⫏≰1101212↞⋁⫏≰10012210)))↹⊜(∓(⫶⊄≣⫏≰2102020))∓⋝⫏≰2100210↳≱⫏≰12012121∓⋝(⫏≰101000020⪶≀⋏⫏≰1220121)=NaN","reverse_text":"NaN=(⊖∈(⊽(⫏≰1101212↞⋁⫏≰10012210)))↹⊜(∓(⫶⊄≣⫏≰2102020))∓⋝⫏≰2100210↳≱⫏≰12012121∓⋝(⫏≰101000020⪶≀⋏⫏≰1220121)","cot":[{"info":"⫏≰1101212↞⋁⫏≰10012210=NaN","layer":3},{"info":"⊽NaN=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"⫶⊄≣⫏≰2102020=⫏≰10220002101211101","layer":3},{"info":"∓⫏≰10220002101211101=⫏≰-2011101100021010000","layer":2},{"info":"⫏≰2100210↳≱⫏≰12012121=⫏≰0","layer":3},{"info":"⫏≰101000020⪶≀⋏⫏≰1220121=⫏≰-1021011110","layer":3},{"info":"⫏≰0∓⋝⫏≰-1021011110=⫏≰11111","layer":2},{"info":"⫏≰-2011101100021010000∓⋝⫏≰11111=⫏≰-20112222","layer":1},{"info":"NaN↹⊜⫏≰-20112222=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"(⊑($1535$⪕$1694$≃$2343$⨔⇊$6233$))≀⫉((↥$3266$)⪪$1523$∓⋝$2605$⊭∹↮)","expression":"(⊑(⫏≰2002212⪕⫏≰2022202≃⫏≰10012210⨔⇊⫏≰22112212))≀⫉((↥⫏≰11110222)⪪⫏≰2002102∓⋝⫏≰10120111⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":762,"operation_count":9,"complexity_ratio":84.66666666666667,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1535,"base":3},"right_expr":{"type":"numeric_atoms","value":1694,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2343,"base":3},"right_expr":{"type":"numeric_atoms","value":6233,"base":3}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3266,"base":3}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1523,"base":3},"right_expr":{"type":"numeric_atoms","value":2605,"base":3}}}}},"used_operators":["oZj3VtZNQx","IkUmn0D7oy","YbVcJGFEVW","umQnsF7QlU","JclMnS0uGI","xNBdhnnwKq","xD69zh8xqp","A8NUZmVepG","PoHhknlbAi"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","k8jYdgA6NY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⫏≰10212112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1535","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=1694, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2277","layer":3},{"info":"number node, value=2343","layer":4},{"info":"number node, value=6233","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=6233, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6233","layer":3},{"info":"compute binary expreesion, left_input=2277, right_input=6233, 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=-9148","layer":2},{"info":"compute unary expreesion, input=-9148, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=3266","layer":4},{"info":"compute unary expreesion, input=3266, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=2","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=2605, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=67, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=2","layer":2},{"info":"compute unary expreesion, input=2, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=2, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":3,"result_base":3,"text":"(⊑(⫏≰2002212⪕⫏≰2022202≃⫏≰10012210⨔⇊⫏≰22112212))≀⫉((↥⫏≰11110222)⪪⫏≰2002102∓⋝⫏≰10120111⊭∹↮)=⫏≰10212112","reverse_text":"⫏≰10212112=(⊑(⫏≰2002212⪕⫏≰2022202≃⫏≰10012210⨔⇊⫏≰22112212))≀⫉((↥⫏≰11110222)⪪⫏≰2002102∓⋝⫏≰10120111⊭∹↮)","cot":[{"info":"⫏≰2002212⪕⫏≰2022202=⫏≰10010100","layer":3},{"info":"⫏≰10012210⨔⇊⫏≰22112212=⫏≰22112212","layer":3},{"info":"⫏≰10010100≃⫏≰22112212=⫏≰-110112211","layer":2},{"info":"⊑⫏≰-110112211=⫏≰21010","layer":1},{"info":"↥⫏≰11110222=⫏≰2","layer":3},{"info":"⫏≰2002102∓⋝⫏≰10120111=⫏≰2111","layer":3},{"info":"⫏≰2⪪⫏≰2111=⫏≰2","layer":2},{"info":"⫏≰2⊭∹↮=⫏≰2","layer":1},{"info":"⫏≰21010≀⫉⫏≰2=⫏≰10212112","layer":0}]}
{"id":153,"expression_no_base_symbol":"($1262$⪃⊛⇣$3165$⊔($1661$∑⇟⊟$7410$))⇡⇂((≦∁$2962$)⊭↱(∤↝$4569$))⪟⇏(⇨($1709$⊔$1791$)⪒⊣⊆(⨴⫝$1535$))","expression":"(⫏≰1201202⪃⊛⇣⫏≰11100020⊔(⫏≰2021112∑⇟⊟⫏≰101011110))⇡⇂((≦∁⫏≰11001201)⊭↱(∤↝⫏≰20021020))⪟⇏(⇨(⫏≰2100022⊔⫏≰2110100)⪒⊣⊆(⨴⫝⫏≰2002212))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18494,"operation_count":12,"complexity_ratio":1541.1666666666667,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1262,"base":3},"right_expr":{"type":"numeric_atoms","value":3165,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1661,"base":3},"right_expr":{"type":"numeric_atoms","value":7410,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2962,"base":3}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":4569,"base":3}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1709,"base":3},"right_expr":{"type":"numeric_atoms","value":1791,"base":3}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1535,"base":3}}}}},"used_operators":["GODebY97qR","UMwdvZNt44","E4l6HwMY31","rrgAzCduG9","U7g4x0WXJJ","COABgblf1C","9ICcGScMcE","3UMq87Qwqg","G9tJMlZ94a","eRqsBgTDFp","SVb2v531z1"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"number node, value=3165","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=3165, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1661","layer":4},{"info":"number node, value=7410","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=7410, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=2962","layer":4},{"info":"compute unary expreesion, input=2962, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2962","layer":3},{"info":"number node, value=4569","layer":4},{"info":"compute unary expreesion, input=4569, 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=4569","layer":3},{"info":"compute binary expreesion, left_input=2962, right_input=4569, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3219","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3219, 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=1709","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1791, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9973","layer":3},{"info":"number node, value=1535","layer":4},{"info":"compute unary expreesion, input=1535, 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":3},{"info":"compute binary expreesion, left_input=9973, right_input=2828198, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=19946","layer":2},{"info":"compute unary expreesion, input=19946, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":3,"result_base":3,"text":"(⫏≰1201202⪃⊛⇣⫏≰11100020⊔(⫏≰2021112∑⇟⊟⫏≰101011110))⇡⇂((≦∁⫏≰11001201)⊭↱(∤↝⫏≰20021020))⪟⇏(⇨(⫏≰2100022⊔⫏≰2110100)⪒⊣⊆(⨴⫝⫏≰2002212))=⫏≰0","reverse_text":"⫏≰0=(⫏≰1201202⪃⊛⇣⫏≰11100020⊔(⫏≰2021112∑⇟⊟⫏≰101011110))⇡⇂((≦∁⫏≰11001201)⊭↱(∤↝⫏≰20021020))⪟⇏(⇨(⫏≰2100022⊔⫏≰2110100)⪒⊣⊆(⨴⫝⫏≰2002212))","cot":[{"info":"⫏≰1201202⪃⊛⇣⫏≰11100020=⫏≰1200201","layer":3},{"info":"⫏≰2021112∑⇟⊟⫏≰101011110=NaN","layer":3},{"info":"⫏≰1200201⊔NaN=NaN","layer":2},{"info":"≦∁⫏≰11001201=⫏≰11001201","layer":3},{"info":"∤↝⫏≰20021020=⫏≰20021020","layer":3},{"info":"⫏≰11001201⊭↱⫏≰20021020=⫏≰11102020","layer":2},{"info":"NaN⇡⇂⫏≰11102020=NaN","layer":1},{"info":"⫏≰2100022⊔⫏≰2110100=⫏≰111200101","layer":3},{"info":"⨴⫝⫏≰2002212=⫏≰12022200120002","layer":3},{"info":"⫏≰111200101⪒⊣⊆⫏≰12022200120002=⫏≰1000100202","layer":2},{"info":"⇨⫏≰1000100202=⫏≰0","layer":1},{"info":"NaN⪟⇏⫏≰0=⫏≰0","layer":0}]}
{"id":154,"expression_no_base_symbol":"∮(($5694$⩌⋺$6451$)∊∟⩊($3119$+$4234$)⇼⇔∾$6568$⊨$1562$≥⨤⩑$1251$⇴$6425$)","expression":"∮((⫏≰21210220⩌⋺⫏≰22211221)∊∟⩊(⫏≰11021112+⫏≰12210211)⇼⇔∾⫏≰100000021⊨⫏≰2010212≥⨤⩑⫏≰1201100⇴⫏≰22210222)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":553,"operation_count":8,"complexity_ratio":69.125,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5694,"base":3},"right_expr":{"type":"numeric_atoms","value":6451,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3119,"base":3},"right_expr":{"type":"numeric_atoms","value":4234,"base":3}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6568,"base":3},"right_expr":{"type":"numeric_atoms","value":1562,"base":3}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1251,"base":3},"right_expr":{"type":"numeric_atoms","value":6425,"base":3}}}}},"used_operators":["CqXKPLVYql","tifHPKVTfV","ddLRYrp01A","g7Hmc5v1ko","W4YGzv6Whe","gJLn6v0xnP","vg4gO5BX6G","4JB6nKBMSY"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⫏≰-110102001111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5694","layer":4},{"info":"number node, value=6451","layer":4},{"info":"compute binary expreesion, left_input=5694, right_input=6451, 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=-12266","layer":3},{"info":"number node, value=3119","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=4234, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7353","layer":3},{"info":"compute binary expreesion, left_input=-12266, right_input=7353, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=7353","layer":2},{"info":"number node, value=6568","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=6568, right_input=1562, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=27303","layer":3},{"info":"number node, value=1251","layer":4},{"info":"number node, value=6425","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=6425, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=19970","layer":3},{"info":"compute binary expreesion, left_input=27303, right_input=19970, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=7353, right_input=1234, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6119","layer":1},{"info":"compute unary expreesion, input=-6119, 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=-244255","layer":0}],"base":3,"result_base":3,"text":"∮((⫏≰21210220⩌⋺⫏≰22211221)∊∟⩊(⫏≰11021112+⫏≰12210211)⇼⇔∾⫏≰100000021⊨⫏≰2010212≥⨤⩑⫏≰1201100⇴⫏≰22210222)=⫏≰-110102001111","reverse_text":"⫏≰-110102001111=∮((⫏≰21210220⩌⋺⫏≰22211221)∊∟⩊(⫏≰11021112+⫏≰12210211)⇼⇔∾⫏≰100000021⊨⫏≰2010212≥⨤⩑⫏≰1201100⇴⫏≰22210222)","cot":[{"info":"⫏≰21210220⩌⋺⫏≰22211221=⫏≰-121211022","layer":3},{"info":"⫏≰11021112+⫏≰12210211=⫏≰101002100","layer":3},{"info":"⫏≰-121211022∊∟⩊⫏≰101002100=⫏≰101002100","layer":2},{"info":"⫏≰100000021⊨⫏≰2010212=⫏≰1101110020","layer":3},{"info":"⫏≰1201100⇴⫏≰22210222=⫏≰1000101122","layer":3},{"info":"⫏≰1101110020≥⨤⩑⫏≰1000101122=⫏≰1200201","layer":2},{"info":"⫏≰101002100⇼⇔∾⫏≰1200201=⫏≰-22101122","layer":1},{"info":"∮⫏≰-22101122=⫏≰-110102001111","layer":0}]}
{"id":155,"expression_no_base_symbol":"((∂⩏⊆$1355$⩒⫫$4476$)∋(($2407$⨘⋶⪀)∣($1457$⋹)))⪝((($4080$≳⇉$8565$)⇯⋐)⨑⩅≇(($2898$⪥$4859$)⪷))","expression":"((∂⩏⊆⫏≰1212012⩒⫫⫏≰20010210)∋((⫏≰10022011⨘⋶⪀)∣(⫏≰1222222⋹)))⪝(((⫏≰12121010≳⇉⫏≰102202020)⇯⋐)⨑⩅≇((⫏≰10222100⪥⫏≰20122222)⪷))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":34235,"operation_count":12,"complexity_ratio":2852.9166666666665,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1355,"base":3},"right_expr":{"type":"numeric_atoms","value":4476,"base":3}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2407,"base":3}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1457,"base":3}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4080,"base":3},"right_expr":{"type":"numeric_atoms","value":8565,"base":3}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2898,"base":3},"right_expr":{"type":"numeric_atoms","value":4859,"base":3}}}}},"used_operators":["wicAB68Tmb","ukq6epAj5P","8WDwsbhb0R","KFSx94NKJn","PPChnnnBFF","XVKwrhznBb","opAxDRczMr","h92wMvzauj","LkLIoiE525","V0kx6qeWkN","Qctrpi3WzA","QbnwKVWMIQ"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","14qkJME0vr","eLAdDNolq6","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Nsiff2A1zJ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⫏≰-202220220100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"number node, value=4476","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=4476, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1053","layer":3},{"info":"compute unary expreesion, input=1053, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3238","layer":2},{"info":"number node, value=2407","layer":4},{"info":"compute unary expreesion, input=2407, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=1457","layer":4},{"info":"compute unary expreesion, input=1457, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3238, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-41672","layer":1},{"info":"number node, value=4080","layer":4},{"info":"number node, value=8565","layer":4},{"info":"compute binary expreesion, left_input=4080, right_input=8565, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=nan","layer":2},{"info":"number node, value=2898","layer":4},{"info":"number node, value=4859","layer":4},{"info":"compute binary expreesion, left_input=2898, right_input=4859, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=16244","layer":3},{"info":"compute unary expreesion, input=16244, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-41672, right_input=935, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-411813","layer":0}],"base":3,"result_base":3,"text":"((∂⩏⊆⫏≰1212012⩒⫫⫏≰20010210)∋((⫏≰10022011⨘⋶⪀)∣(⫏≰1222222⋹)))⪝(((⫏≰12121010≳⇉⫏≰102202020)⇯⋐)⨑⩅≇((⫏≰10222100⪥⫏≰20122222)⪷))=⫏≰-202220220100","reverse_text":"⫏≰-202220220100=((∂⩏⊆⫏≰1212012⩒⫫⫏≰20010210)∋((⫏≰10022011⨘⋶⪀)∣(⫏≰1222222⋹)))⪝(((⫏≰12121010≳⇉⫏≰102202020)⇯⋐)⨑⩅≇((⫏≰10222100⪥⫏≰20122222)⪷))","cot":[{"info":"⫏≰1212012⩒⫫⫏≰20010210=⫏≰1110000","layer":3},{"info":"∂⩏⊆⫏≰1110000=⫏≰-11102221","layer":2},{"info":"⫏≰10022011⨘⋶⪀=NaN","layer":3},{"info":"⫏≰1222222⋹=⫏≰-202","layer":3},{"info":"NaN∣⫏≰-202=NaN","layer":2},{"info":"⫏≰-11102221∋NaN=⫏≰-2010011102","layer":1},{"info":"⫏≰12121010≳⇉⫏≰102202020=NaN","layer":3},{"info":"NaN⇯⋐=NaN","layer":2},{"info":"⫏≰10222100⪥⫏≰20122222=⫏≰211021122","layer":3},{"info":"⫏≰211021122⪷=NaN","layer":2},{"info":"NaN⨑⩅≇NaN=⫏≰1021122","layer":1},{"info":"⫏≰-2010011102⪝⫏≰1021122=⫏≰-202220220100","layer":0}]}
{"id":156,"expression_no_base_symbol":"($2194$⨻⩈⩔$5803$≚⋢)⪍↜⋙(↨($5608$⫡⨏$3170$))≎⊠⪸(⨮↦↱(⪝⪂⫅(≱⇩⩕$1888$)))","expression":"(⫏≰10000021⨻⩈⩔⫏≰21221221≚⋢)⪍↜⋙(↨(⫏≰21200201⫡⨏⫏≰11100102))≎⊠⪸(⨮↦↱(⪝⪂⫅(≱⇩⩕⫏≰2120221)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":592,"operation_count":9,"complexity_ratio":65.77777777777777,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2194,"base":3},"right_expr":{"type":"numeric_atoms","value":5803,"base":3}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5608,"base":3},"right_expr":{"type":"numeric_atoms","value":3170,"base":3}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1888,"base":3}}}}},"used_operators":["bJkvcejdHO","L05ObWFQCd","MahUMFw56D","nEsXyWgiOK","jiX4gk2v2Q","QMFrweE19q","sYcpBQ0cFf","XTarYq4gQB","3DZMoQKiUl"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","3ViojmjbAp","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","t8gj7n24qd","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9HNa5Wba9A","8w2t5hMYqp","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2194","layer":4},{"info":"number node, value=5803","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=5803, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9151","layer":3},{"info":"compute unary expreesion, input=9151, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=5608","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=5608, right_input=3170, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35163","layer":3},{"info":"compute unary expreesion, input=35163, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"number node, value=1888","layer":4},{"info":"compute unary expreesion, input=1888, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-16611","layer":2},{"info":"compute unary expreesion, input=-16611, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=237627","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=237627, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10000021⨻⩈⩔⫏≰21221221≚⋢)⪍↜⋙(↨(⫏≰21200201⫡⨏⫏≰11100102))≎⊠⪸(⨮↦↱(⪝⪂⫅(≱⇩⩕⫏≰2120221)))=NaN","reverse_text":"NaN=(⫏≰10000021⨻⩈⩔⫏≰21221221≚⋢)⪍↜⋙(↨(⫏≰21200201⫡⨏⫏≰11100102))≎⊠⪸(⨮↦↱(⪝⪂⫅(≱⇩⩕⫏≰2120221)))","cot":[{"info":"⫏≰10000021⨻⩈⩔⫏≰21221221=⫏≰110112221","layer":3},{"info":"⫏≰110112221≚⋢=⫏≰-10022","layer":2},{"info":"⫏≰21200201⫡⨏⫏≰11100102=⫏≰1210020100","layer":3},{"info":"↨⫏≰1210020100=NaN","layer":2},{"info":"⫏≰-10022⪍↜⋙NaN=NaN","layer":1},{"info":"≱⇩⩕⫏≰2120221=⫏≰11012","layer":3},{"info":"⪝⪂⫅⫏≰11012=⫏≰-211210020","layer":2},{"info":"⨮↦↱⫏≰-211210020=⫏≰110001222000","layer":1},{"info":"NaN≎⊠⪸⫏≰110001222000=NaN","layer":0}]}
{"id":157,"expression_no_base_symbol":"(($2821$⩹$3196$)⫗⊷⫓($2286$⨚⇆$1758$)⫁((⫡⇟⇯$4410$)∌↝($4431$⪔$1438$)))⊀⩕","expression":"((⫏≰10212111⩹⫏≰11101101)⫗⊷⫓(⫏≰10010200⨚⇆⫏≰2102010)⫁((⫡⇟⇯⫏≰20001100)∌↝(⫏≰20002010⪔⫏≰1222021)))⊀⩕","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18979,"operation_count":8,"complexity_ratio":2372.375,"tree":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2821,"base":3},"right_expr":{"type":"numeric_atoms","value":3196,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2286,"base":3},"right_expr":{"type":"numeric_atoms","value":1758,"base":3}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":4410,"base":3}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":4431,"base":3},"right_expr":{"type":"numeric_atoms","value":1438,"base":3}}}}},"used_operators":["r0FS3hW4cC","0ajvFaJAv0","zashukvMKz","2Wsdkap16l","lwHaAYXP2r","9Isq31Ruls","qWUSsah53b","GjBEYRfMaF"],"dependent_operators":["rGHVDoGpnC","nhYeJWJD5X","cHh1gJQ2o6","AHs5Up7iyr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DZ8iAZOCBD","P8v4zCKN1o","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2821","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=3196, 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=3194","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1758, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3194, 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":2},{"info":"number node, value=4410","layer":4},{"info":"compute unary expreesion, input=4410, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=9688","layer":3},{"info":"number node, value=4431","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=4431, right_input=1438, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=9688, right_input=450, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, 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 = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10212111⩹⫏≰11101101)⫗⊷⫓(⫏≰10010200⨚⇆⫏≰2102010)⫁((⫡⇟⇯⫏≰20001100)∌↝(⫏≰20002010⪔⫏≰1222021)))⊀⩕=⫏≰0","reverse_text":"⫏≰0=((⫏≰10212111⩹⫏≰11101101)⫗⊷⫓(⫏≰10010200⨚⇆⫏≰2102010)⫁((⫡⇟⇯⫏≰20001100)∌↝(⫏≰20002010⪔⫏≰1222021)))⊀⩕","cot":[{"info":"⫏≰10212111⩹⫏≰11101101=⫏≰11101022","layer":3},{"info":"⫏≰10010200⨚⇆⫏≰2102010=NaN","layer":3},{"info":"⫏≰11101022⫗⊷⫓NaN=⫏≰-11222","layer":2},{"info":"⫡⇟⇯⫏≰20001100=⫏≰111021211","layer":3},{"info":"⫏≰20002010⪔⫏≰1222021=⫏≰121200","layer":3},{"info":"⫏≰111021211∌↝⫏≰121200=⫏≰0","layer":2},{"info":"⫏≰-11222⫁⫏≰0=⫏≰12221","layer":1},{"info":"⫏≰12221⊀⩕=⫏≰0","layer":0}]}
{"id":158,"expression_no_base_symbol":"↥((($2034$*$1560$)⋝⋈⪟$2009$⊮⊟↴$2706$)⨲∙)","expression":"↥(((⫏≰2210100*⫏≰2010210)⋝⋈⪟⫏≰2202102⊮⊟↴⫏≰10201020)⨲∙)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2060,"operation_count":5,"complexity_ratio":412.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2034,"base":3},"right_expr":{"type":"numeric_atoms","value":1560,"base":3}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2009,"base":3},"right_expr":{"type":"numeric_atoms","value":2706,"base":3}}}}},"used_operators":["A8NUZmVepG","cRahaglYVE","2DDjHMKMc0","9HNa5Wba9A","QDVgd2eftb"],"dependent_operators":["k8jYdgA6NY","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2034","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=1560, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3173040","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=2706, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3173040, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3173040","layer":2},{"info":"compute unary expreesion, input=3173040, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↥(((⫏≰2210100*⫏≰2010210)⋝⋈⪟⫏≰2202102⊮⊟↴⫏≰10201020)⨲∙)=NaN","reverse_text":"NaN=↥(((⫏≰2210100*⫏≰2010210)⋝⋈⪟⫏≰2202102⊮⊟↴⫏≰10201020)⨲∙)","cot":[{"info":"⫏≰2210100*⫏≰2010210=⫏≰12222012121000","layer":3},{"info":"⫏≰2202102⊮⊟↴⫏≰10201020=⫏≰0","layer":3},{"info":"⫏≰12222012121000⋝⋈⪟⫏≰0=⫏≰12222012121000","layer":2},{"info":"⫏≰12222012121000⨲∙=Inf","layer":1},{"info":"↥Inf=NaN","layer":0}]}
{"id":159,"expression_no_base_symbol":"↑(⪝⪂⫅($6785$∽$6278$))⫞⩸⩒(($1281$⊍⩺⋍$2853$)⊘)","expression":"↑(⪝⪂⫅(⫏≰100022022∽⫏≰22121112))⫞⩸⩒((⫏≰1202110⊍⩺⋍⫏≰10220200)⊘)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":433,"operation_count":6,"complexity_ratio":72.16666666666667,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":6785,"base":3},"right_expr":{"type":"numeric_atoms","value":6278,"base":3}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1281,"base":3},"right_expr":{"type":"numeric_atoms","value":2853,"base":3}}}}},"used_operators":["tR7O2zTn5j","XGcMNugi78","XTarYq4gQB","y4ImoPnbV5","gu96TGCTMs","OXDGMFPWZM"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","NTOWxs364D","QMFrweE19q","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⫏≰21010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6785","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=6785, right_input=6278, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-52581","layer":3},{"info":"compute unary expreesion, input=-52581, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=7729407","layer":2},{"info":"number node, value=1281","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=2853, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7729407, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=7729407","layer":1},{"info":"compute unary expreesion, input=7729407, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":0}],"base":3,"result_base":3,"text":"↑(⪝⪂⫅(⫏≰100022022∽⫏≰22121112))⫞⩸⩒((⫏≰1202110⊍⩺⋍⫏≰10220200)⊘)=⫏≰21010","reverse_text":"⫏≰21010=↑(⪝⪂⫅(⫏≰100022022∽⫏≰22121112))⫞⩸⩒((⫏≰1202110⊍⩺⋍⫏≰10220200)⊘)","cot":[{"info":"⫏≰100022022∽⫏≰22121112=⫏≰-2200010110","layer":3},{"info":"⪝⪂⫅⫏≰-2200010110=⫏≰112112200202100","layer":2},{"info":"⫏≰1202110⊍⩺⋍⫏≰10220200=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"⫏≰112112200202100⫞⩸⩒NaN=⫏≰112112200202100","layer":1},{"info":"↑⫏≰112112200202100=⫏≰21010","layer":0}]}
{"id":160,"expression_no_base_symbol":"((↓⇌$1083$)⫁$6430$⪝$4692$⋓((∨∊⋏$4502$)⫸⇳$4122$∇⊂⋱$1023$))∀⇚≩($2685$⨸$2269$∁)≹⇙⪍($1200$⊬⨰$1073$)∊∟⩊($5787$≓∲$1756$)","expression":"((↓⇌⫏≰1111010)⫁⫏≰22211011⪝⫏≰20102210⋓((∨∊⋏⫏≰20011202)⫸⇳⫏≰12122200∇⊂⋱⫏≰1101220))∀⇚≩(⫏≰10200110⨸⫏≰10010001∁)≹⇙⪍(⫏≰1122110⊬⨰⫏≰1110202)∊∟⩊(⫏≰21221100≓∲⫏≰2102001)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":25522,"operation_count":14,"complexity_ratio":1823.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1083,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6430,"base":3},"right_expr":{"type":"numeric_atoms","value":4692,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":4502,"base":3}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4122,"base":3},"right_expr":{"type":"numeric_atoms","value":1023,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2685,"base":3},"right_expr":{"type":"numeric_atoms","value":2269,"base":3}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1200,"base":3},"right_expr":{"type":"numeric_atoms","value":1073,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5787,"base":3},"right_expr":{"type":"numeric_atoms","value":1756,"base":3}}}}},"used_operators":["LRNGc0VcxI","T2fj7uvVaJ","0ajvFaJAv0","PxpmPgHHJV","wicAB68Tmb","gx7XJ7hdpj","R5aXW34M0v","nhYeJWJD5X","AHs5Up7iyr","jdwGQqwJi5","KmoU8R5UQR","ddLRYrp01A","s3Fd5m9Dh2","s1XTVnmDOJ"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","cHh1gJQ2o6","AHs5Up7iyr","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","dWAJyo7jo9","2DDjHMKMc0","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1083","layer":3},{"info":"number node, value=6430","layer":4},{"info":"number node, value=4692","layer":4},{"info":"compute binary expreesion, left_input=6430, right_input=4692, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7351","layer":3},{"info":"compute binary expreesion, left_input=1083, right_input=-7351, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=4502","layer":4},{"info":"compute unary expreesion, input=4502, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=94847","layer":3},{"info":"number node, value=4122","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=4122, right_input=1023, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7698","layer":3},{"info":"compute binary expreesion, left_input=94847, right_input=7698, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=2685","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=2269, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5370","layer":3},{"info":"compute unary expreesion, input=5370, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=5370","layer":2},{"info":"number node, value=1200","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1073, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4436","layer":3},{"info":"number node, value=5787","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=5787, right_input=1756, 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=58653","layer":3},{"info":"compute binary expreesion, left_input=4436, right_input=58653, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=58653","layer":2},{"info":"compute binary expreesion, left_input=5370, right_input=58653, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↓⇌⫏≰1111010)⫁⫏≰22211011⪝⫏≰20102210⋓((∨∊⋏⫏≰20011202)⫸⇳⫏≰12122200∇⊂⋱⫏≰1101220))∀⇚≩(⫏≰10200110⨸⫏≰10010001∁)≹⇙⪍(⫏≰1122110⊬⨰⫏≰1110202)∊∟⩊(⫏≰21221100≓∲⫏≰2102001)=NaN","reverse_text":"NaN=((↓⇌⫏≰1111010)⫁⫏≰22211011⪝⫏≰20102210⋓((∨∊⋏⫏≰20011202)⫸⇳⫏≰12122200∇⊂⋱⫏≰1101220))∀⇚≩(⫏≰10200110⨸⫏≰10010001∁)≹⇙⪍(⫏≰1122110⊬⨰⫏≰1110202)∊∟⩊(⫏≰21221100≓∲⫏≰2102001)","cot":[{"info":"↓⇌⫏≰1111010=⫏≰1111010","layer":3},{"info":"⫏≰22211011⪝⫏≰20102210=⫏≰-101002021","layer":3},{"info":"⫏≰1111010⫁⫏≰-101002021=⫏≰12221","layer":2},{"info":"∨∊⋏⫏≰20011202=⫏≰11211002212","layer":3},{"info":"⫏≰12122200∇⊂⋱⫏≰1101220=⫏≰101120010","layer":3},{"info":"⫏≰11211002212⫸⇳⫏≰101120010=⫏≰0","layer":2},{"info":"⫏≰12221⋓⫏≰0=⫏≰0","layer":1},{"info":"⫏≰10200110⨸⫏≰10010001=⫏≰21100220","layer":3},{"info":"⫏≰21100220∁=⫏≰21100220","layer":2},{"info":"⫏≰1122110⊬⨰⫏≰1110202=⫏≰20002022","layer":3},{"info":"⫏≰21221100≓∲⫏≰2102001=⫏≰2222110100","layer":3},{"info":"⫏≰20002022∊∟⩊⫏≰2222110100=⫏≰2222110100","layer":2},{"info":"⫏≰21100220≹⇙⪍⫏≰2222110100=NaN","layer":1},{"info":"⫏≰0∀⇚≩NaN=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"(⨭⩧⫛($1818$≀⩗∶$4761$))⪍↜⋙(∡$2447$)⨚($2467$*$4782$)⫌⩹⨱","expression":"(⨭⩧⫛(⫏≰2111100≀⩗∶⫏≰20112100))⪍↜⋙(∡⫏≰10100122)⨚(⫏≰10101101*⫏≰20120010)⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2571,"operation_count":7,"complexity_ratio":367.2857142857143,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1818,"base":3},"right_expr":{"type":"numeric_atoms","value":4761,"base":3}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2447,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2467,"base":3},"right_expr":{"type":"numeric_atoms","value":4782,"base":3}}}}},"used_operators":["EBcxylXtPf","L05ObWFQCd","g21JL6JxX7","8INZBEW696","nREPSIbpBE","pRsWfj4Fpp","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","BjRHVeLaeN","12rbrZMWeM","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1818","layer":4},{"info":"number node, value=4761","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=4761, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=2447","layer":4},{"info":"compute unary expreesion, input=2447, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2447","layer":3},{"info":"number node, value=2467","layer":4},{"info":"number node, value=4782","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=4782, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11797194","layer":3},{"info":"compute binary expreesion, left_input=-2447, right_input=11797194, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-47192736","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-47192736, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨭⩧⫛(⫏≰2111100≀⩗∶⫏≰20112100))⪍↜⋙(∡⫏≰10100122)⨚(⫏≰10101101*⫏≰20120010)⫌⩹⨱=NaN","reverse_text":"NaN=(⨭⩧⫛(⫏≰2111100≀⩗∶⫏≰20112100))⪍↜⋙(∡⫏≰10100122)⨚(⫏≰10101101*⫏≰20120010)⫌⩹⨱","cot":[{"info":"⫏≰2111100≀⩗∶⫏≰20112100=⫏≰-20","layer":3},{"info":"⨭⩧⫛⫏≰-20=NaN","layer":2},{"info":"∡⫏≰10100122=⫏≰-10100122","layer":3},{"info":"⫏≰10101101*⫏≰20120010=⫏≰211012100201010","layer":3},{"info":"⫏≰-10100122⨚⫏≰211012100201010=⫏≰-10021210122021010","layer":2},{"info":"NaN⪍↜⋙⫏≰-10021210122021010=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"($1000$≧⫂∧$7144$≥⨤⩑$5934$⫢⨠$1647$)⪎↠(($4582$⫭)⇣⩺⋵$6976$⪟⇏$3260$)↬(⩒∊($1004$↞⋁$1014$⨻⩈⩔(≱⇩⩕$1384$)))","expression":"(⫏≰1101001≧⫂∧⫏≰100210121≥⨤⩑⫏≰22010210⫢⨠⫏≰2021000)⪎↠((⫏≰20021201⫭)⇣⩺⋵⫏≰100120101⪟⇏⫏≰11110202)↬(⩒∊(⫏≰1101012↞⋁⫏≰1101120⨻⩈⩔(≱⇩⩕⫏≰1220021)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":459,"operation_count":12,"complexity_ratio":38.25,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1000,"base":3},"right_expr":{"type":"numeric_atoms","value":7144,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5934,"base":3},"right_expr":{"type":"numeric_atoms","value":1647,"base":3}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":4582,"base":3}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6976,"base":3},"right_expr":{"type":"numeric_atoms","value":3260,"base":3}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":1014,"base":3}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1384,"base":3}}}}},"used_operators":["B5M0gjZbta","3tVxb0NHM4","gJLn6v0xnP","Ph9nP6C5qx","xlXykHWxX1","F4yD0voBRQ","t4WUHVGj7f","GODebY97qR","qazvmhNBbN","nEsXyWgiOK","RqrPlJkxDo","3DZMoQKiUl"],"dependent_operators":["rGHVDoGpnC","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=7144","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=7144, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6671","layer":3},{"info":"number node, value=5934","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=5934, right_input=1647, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=6671, right_input=160, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=4582","layer":4},{"info":"compute unary expreesion, input=4582, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=13987","layer":3},{"info":"number node, value=6976","layer":4},{"info":"number node, value=3260","layer":4},{"info":"compute binary expreesion, left_input=6976, right_input=3260, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=13987, right_input=-1, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-260, 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=1004","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1014, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1384","layer":4},{"info":"compute unary expreesion, input=1384, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1101001≧⫂∧⫏≰100210121≥⨤⩑⫏≰22010210⫢⨠⫏≰2021000)⪎↠((⫏≰20021201⫭)⇣⩺⋵⫏≰100120101⪟⇏⫏≰11110202)↬(⩒∊(⫏≰1101012↞⋁⫏≰1101120⨻⩈⩔(≱⇩⩕⫏≰1220021)))=NaN","reverse_text":"NaN=(⫏≰1101001≧⫂∧⫏≰100210121≥⨤⩑⫏≰22010210⫢⨠⫏≰2021000)⪎↠((⫏≰20021201⫭)⇣⩺⋵⫏≰100120101⪟⇏⫏≰11110202)↬(⩒∊(⫏≰1101012↞⋁⫏≰1101120⨻⩈⩔(≱⇩⩕⫏≰1220021)))","cot":[{"info":"⫏≰1101001≧⫂∧⫏≰100210121=⫏≰100011002","layer":3},{"info":"⫏≰22010210⫢⨠⫏≰2021000=⫏≰12221","layer":3},{"info":"⫏≰100011002≥⨤⩑⫏≰12221=⫏≰1200201","layer":2},{"info":"⫏≰20021201⫭=⫏≰201012001","layer":3},{"info":"⫏≰100120101⪟⇏⫏≰11110202=⫏≰-1","layer":3},{"info":"⫏≰201012001⇣⩺⋵⫏≰-1=⫏≰-100122","layer":2},{"info":"⫏≰1200201⪎↠⫏≰-100122=⫏≰12221","layer":1},{"info":"⫏≰1101012↞⋁⫏≰1101120=NaN","layer":3},{"info":"≱⇩⩕⫏≰1220021=⫏≰11012","layer":3},{"info":"NaN⨻⩈⩔⫏≰11012=NaN","layer":2},{"info":"⩒∊NaN=NaN","layer":1},{"info":"⫏≰12221↬NaN=NaN","layer":0}]}
{"id":163,"expression_no_base_symbol":"∤($5365$⪍↜⋙$2420$)∥⊢⊲($2070$≨$4657$)⫥∨⫟(⨩∲⋌(⪡⇡≛$3553$))","expression":"∤(⫏≰21100201⪍↜⋙⫏≰10022122)∥⊢⊲(⫏≰2211200≨⫏≰20101111)⫥∨⫟(⨩∲⋌(⪡⇡≛⫏≰11212121))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":292,"operation_count":7,"complexity_ratio":41.714285714285715,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5365,"base":3},"right_expr":{"type":"numeric_atoms","value":2420,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2070,"base":3},"right_expr":{"type":"numeric_atoms","value":4657,"base":3}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":3553,"base":3}}}}},"used_operators":["k2HlF1dBQh","KYD54nUTWz","v1UQAVDJRr","L05ObWFQCd","0KMCeP1Jsh","aSik1wnThz","qL4PrbW1Dq"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5365","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=5365, right_input=2420, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=5890","layer":3},{"info":"number node, value=2070","layer":4},{"info":"number node, value=4657","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=4657, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-18224","layer":3},{"info":"compute binary expreesion, left_input=5890, right_input=-18224, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=3553","layer":4},{"info":"compute unary expreesion, input=3553, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3553","layer":3},{"info":"compute unary expreesion, input=-3553, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3316","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3316, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∤(⫏≰21100201⪍↜⋙⫏≰10022122)∥⊢⊲(⫏≰2211200≨⫏≰20101111)⫥∨⫟(⨩∲⋌(⪡⇡≛⫏≰11212121))=NaN","reverse_text":"NaN=∤(⫏≰21100201⪍↜⋙⫏≰10022122)∥⊢⊲(⫏≰2211200≨⫏≰20101111)⫥∨⫟(⨩∲⋌(⪡⇡≛⫏≰11212121))","cot":[{"info":"⫏≰21100201⪍↜⋙⫏≰10022122=⫏≰22002011","layer":3},{"info":"⫏≰2211200≨⫏≰20101111=⫏≰-220222222","layer":3},{"info":"⫏≰22002011∥⊢⊲⫏≰-220222222=NaN","layer":2},{"info":"⪡⇡≛⫏≰11212121=⫏≰-11212121","layer":3},{"info":"⨩∲⋌⫏≰-11212121=⫏≰-11112211","layer":2},{"info":"NaN⫥∨⫟⫏≰-11112211=NaN","layer":1},{"info":"∤NaN=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"⨛(⫛⫱⨽($3213$⊔$1110$))↼⊘⨖((↯⪼$1327$)⫩)","expression":"⨛(⫛⫱⨽(⫏≰11102000⊔⫏≰1112010))↼⊘⨖((↯⪼⫏≰1211011)⫩)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1548,"operation_count":6,"complexity_ratio":258.0,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3213,"base":3},"right_expr":{"type":"numeric_atoms","value":1110,"base":3}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1327,"base":3}}}}},"used_operators":["CoMdbyAt7R","bPywburJMS","DlLNRPXxWL","E4l6HwMY31","6aG7x05OhS","8jW3W4yZS5"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3213","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=3213, right_input=1110, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9576","layer":3},{"info":"compute unary expreesion, input=9576, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨛(⫛⫱⨽(⫏≰11102000⊔⫏≰1112010))↼⊘⨖((↯⪼⫏≰1211011)⫩)=NaN","reverse_text":"NaN=⨛(⫛⫱⨽(⫏≰11102000⊔⫏≰1112010))↼⊘⨖((↯⪼⫏≰1211011)⫩)","cot":[{"info":"⫏≰11102000⊔⫏≰1112010=⫏≰111010200","layer":3},{"info":"⫛⫱⨽⫏≰111010200=⫏≰0","layer":2},{"info":"↯⪼⫏≰1211011=⫏≰-210","layer":3},{"info":"⫏≰-210⫩=NaN","layer":2},{"info":"⫏≰0↼⊘⨖NaN=NaN","layer":1},{"info":"⨛NaN=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"(($6275$⫸⇳$5201$)⊉↱≁(↥≼⋛$2457$))⫣⪄⊒($1456$↞⋁$1243$)↞⋁(⫖→$5255$)↸(($1046$⩦$4671$)⊮⊟↴($1795$⨐$3518$)∕⩚(↴⪽⋼$5259$↳∿⪆$1764$))","expression":"((⫏≰22121102⫸⇳⫏≰21010122)⊉↱≁(↥≼⋛⫏≰10101000))⫣⪄⊒(⫏≰1222221↞⋁⫏≰1201001)↞⋁(⫖→⫏≰21012122)↸((⫏≰1102202⩦⫏≰20102000)⊮⊟↴(⫏≰2110111⨐⫏≰11211022)∕⩚(↴⪽⋼⫏≰21012210↳∿⪆⫏≰2102100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8668,"operation_count":14,"complexity_ratio":619.1428571428571,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":6275,"base":3},"right_expr":{"type":"numeric_atoms","value":5201,"base":3}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2457,"base":3}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1456,"base":3},"right_expr":{"type":"numeric_atoms","value":1243,"base":3}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":5255,"base":3}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1046,"base":3},"right_expr":{"type":"numeric_atoms","value":4671,"base":3}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1795,"base":3},"right_expr":{"type":"numeric_atoms","value":3518,"base":3}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5259,"base":3},"right_expr":{"type":"numeric_atoms","value":1764,"base":3}}}}},"used_operators":["1eCjFl0mb9","RabNbG55vr","w2P8NbNXyL","gx7XJ7hdpj","x5lMkHmzsq","RqrPlJkxDo","U4ylXWHChL","z9ffQ9n5Zr","QDVgd2eftb","0kmYd0q39Y","Noe24qw2ks","5TUYCnJO6w","Cw4SuJJGHO"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6275","layer":4},{"info":"number node, value=5201","layer":4},{"info":"compute binary expreesion, left_input=6275, right_input=5201, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2457","layer":4},{"info":"compute unary expreesion, input=2457, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-113, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=626","layer":2},{"info":"number node, value=1456","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=1243, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=5255","layer":4},{"info":"compute unary expreesion, input=5255, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=626, right_input=nan, 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":1},{"info":"number node, value=1046","layer":4},{"info":"number node, value=4671","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=4671, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2092","layer":3},{"info":"number node, value=1795","layer":4},{"info":"number node, value=3518","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=3518, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3590","layer":3},{"info":"compute binary expreesion, left_input=2092, right_input=-3590, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=176461","layer":2},{"info":"number node, value=5259","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=5259, right_input=1764, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=176461, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-487, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22121102⫸⇳⫏≰21010122)⊉↱≁(↥≼⋛⫏≰10101000))⫣⪄⊒(⫏≰1222221↞⋁⫏≰1201001)↞⋁(⫖→⫏≰21012122)↸((⫏≰1102202⩦⫏≰20102000)⊮⊟↴(⫏≰2110111⨐⫏≰11211022)∕⩚(↴⪽⋼⫏≰21012210↳∿⪆⫏≰2102100))=⫏≰12221","reverse_text":"⫏≰12221=((⫏≰22121102⫸⇳⫏≰21010122)⊉↱≁(↥≼⋛⫏≰10101000))⫣⪄⊒(⫏≰1222221↞⋁⫏≰1201001)↞⋁(⫖→⫏≰21012122)↸((⫏≰1102202⩦⫏≰20102000)⊮⊟↴(⫏≰2110111⨐⫏≰11211022)∕⩚(↴⪽⋼⫏≰21012210↳∿⪆⫏≰2102100))","cot":[{"info":"⫏≰22121102⫸⇳⫏≰21010122=⫏≰0","layer":3},{"info":"↥≼⋛⫏≰10101000=⫏≰-11012","layer":3},{"info":"⫏≰0⊉↱≁⫏≰-11012=⫏≰212012","layer":2},{"info":"⫏≰1222221↞⋁⫏≰1201001=NaN","layer":3},{"info":"⫖→⫏≰21012122=⫏≰20120","layer":3},{"info":"NaN↞⋁⫏≰20120=NaN","layer":2},{"info":"⫏≰212012⫣⪄⊒NaN=⫏≰12221","layer":1},{"info":"⫏≰1102202⩦⫏≰20102000=⫏≰2212111","layer":3},{"info":"⫏≰2110111⨐⫏≰11211022=⫏≰-11220222","layer":3},{"info":"⫏≰2212111⊮⊟↴⫏≰-11220222=⫏≰22222001121","layer":2},{"info":"⫏≰21012210↳∿⪆⫏≰2102100=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"⫏≰22222001121∕⩚NaN=⫏≰-200001","layer":1},{"info":"⫏≰12221↸⫏≰-200001=⫏≰12221","layer":0}]}
{"id":166,"expression_no_base_symbol":"((($1534$⩟)⫔⩽⩺$1004$⨔⇊$4703$)↡⊰⫅(↥≼⋛$2701$⩼⇪↪$1790$))↤⩊(($3667$⪮%⊝$2677$)⨐($3517$⨪↰⇹$1444$)∥⊢⊲($2160$↞⋁$3194$⇄($1824$⋭≵$3034$)))","expression":"(((⫏≰2002211⩟)⫔⩽⩺⫏≰1101012⨔⇊⫏≰20110012)↡⊰⫅(↥≼⋛⫏≰10201001⩼⇪↪⫏≰2110022))↤⩊((⫏≰12000211⪮%⊝⫏≰10200011)⨐(⫏≰11211021⨪↰⇹⫏≰1222111)∥⊢⊲(⫏≰2222000↞⋁⫏≰11101022⇄(⫏≰2111120⋭≵⫏≰11011101)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":114315,"operation_count":14,"complexity_ratio":8165.357142857143,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1534,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":4703,"base":3}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2701,"base":3},"right_expr":{"type":"numeric_atoms","value":1790,"base":3}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3667,"base":3},"right_expr":{"type":"numeric_atoms","value":2677,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3517,"base":3},"right_expr":{"type":"numeric_atoms","value":1444,"base":3}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2160,"base":3},"right_expr":{"type":"numeric_atoms","value":3194,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1824,"base":3},"right_expr":{"type":"numeric_atoms","value":3034,"base":3}}}}},"used_operators":["13rbtpv6ld","VCtxkLNOzz","i9eR4S00cU","fOIeswaMU4","JclMnS0uGI","x5lMkHmzsq","ocnLzx9CaJ","v1UQAVDJRr","Noe24qw2ks","IWmyXbctLI","tmPS8pqC7x","3EYGwJThht","RqrPlJkxDo","jBncVCNhdl"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1534","layer":4},{"info":"compute unary expreesion, input=1534, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-12579","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=4703","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=4703, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4703","layer":3},{"info":"compute binary expreesion, left_input=-12579, right_input=4703, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=2701","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1790, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-7911","layer":3},{"info":"compute unary expreesion, input=-7911, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-7878","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7878, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=3667","layer":4},{"info":"number node, value=2677","layer":4},{"info":"compute binary expreesion, left_input=3667, right_input=2677, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7650","layer":3},{"info":"number node, value=3517","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=1444, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3517","layer":3},{"info":"compute binary expreesion, left_input=7650, right_input=3517, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-15300","layer":2},{"info":"number node, value=2160","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=3194, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=3034, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-15300, right_input=nan, 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=nan, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2002211⩟)⫔⩽⩺⫏≰1101012⨔⇊⫏≰20110012)↡⊰⫅(↥≼⋛⫏≰10201001⩼⇪↪⫏≰2110022))↤⩊((⫏≰12000211⪮%⊝⫏≰10200011)⨐(⫏≰11211021⨪↰⇹⫏≰1222111)∥⊢⊲(⫏≰2222000↞⋁⫏≰11101022⇄(⫏≰2111120⋭≵⫏≰11011101)))=NaN","reverse_text":"NaN=(((⫏≰2002211⩟)⫔⩽⩺⫏≰1101012⨔⇊⫏≰20110012)↡⊰⫅(↥≼⋛⫏≰10201001⩼⇪↪⫏≰2110022))↤⩊((⫏≰12000211⪮%⊝⫏≰10200011)⨐(⫏≰11211021⨪↰⇹⫏≰1222111)∥⊢⊲(⫏≰2222000↞⋁⫏≰11101022⇄(⫏≰2111120⋭≵⫏≰11011101)))","cot":[{"info":"⫏≰2002211⩟=⫏≰-122020220","layer":3},{"info":"⫏≰1101012⨔⇊⫏≰20110012=⫏≰20110012","layer":3},{"info":"⫏≰-122020220⫔⩽⩺⫏≰20110012=NaN","layer":2},{"info":"⫏≰10201001⩼⇪↪⫏≰2110022=⫏≰-101212000","layer":3},{"info":"↥≼⋛⫏≰-101212000=⫏≰-101210210","layer":2},{"info":"NaN↡⊰⫅⫏≰-101210210=NaN","layer":1},{"info":"⫏≰12000211⪮%⊝⫏≰10200011=⫏≰101111100","layer":3},{"info":"⫏≰11211021⨪↰⇹⫏≰1222111=⫏≰11211021","layer":3},{"info":"⫏≰101111100⨐⫏≰11211021=⫏≰-202222200","layer":2},{"info":"⫏≰2222000↞⋁⫏≰11101022=NaN","layer":3},{"info":"⫏≰2111120⋭≵⫏≰11011101=⫏≰2111","layer":3},{"info":"NaN⇄⫏≰2111=NaN","layer":2},{"info":"⫏≰-202222200∥⊢⊲NaN=NaN","layer":1},{"info":"NaN↤⩊NaN=NaN","layer":0}]}
{"id":167,"expression_no_base_symbol":"⊑(⩰$2537$⊔$2191$⪕($2309$⨶))","expression":"⊑(⩰⫏≰10110222⊔⫏≰10000011⪕(⫏≰10011112⨶))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":456,"operation_count":5,"complexity_ratio":91.2,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2537,"base":3},"right_expr":{"type":"numeric_atoms","value":2191,"base":3}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":2309,"base":3}}}}},"used_operators":["IkUmn0D7oy","WkeUrDK8WX","umQnsF7QlU","E4l6HwMY31","rFxw8gIMmB"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","f6k1SAg4EE","Qy55tPpLXF"],"result":"⫏≰21010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2537","layer":4},{"info":"number node, value=2191","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=2191, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13629","layer":3},{"info":"number node, value=2309","layer":4},{"info":"compute unary expreesion, input=2309, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=2872","layer":3},{"info":"compute binary expreesion, left_input=13629, right_input=2872, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=25287","layer":2},{"info":"compute unary expreesion, input=25287, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-26287","layer":1},{"info":"compute unary expreesion, input=-26287, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":3,"result_base":3,"text":"⊑(⩰⫏≰10110222⊔⫏≰10000011⪕(⫏≰10011112⨶))=⫏≰21010","reverse_text":"⫏≰21010=⊑(⩰⫏≰10110222⊔⫏≰10000011⪕(⫏≰10011112⨶))","cot":[{"info":"⫏≰10110222⊔⫏≰10000011=⫏≰200200210","layer":3},{"info":"⫏≰10011112⨶=⫏≰10221101","layer":3},{"info":"⫏≰200200210⪕⫏≰10221101=⫏≰1021200120","layer":2},{"info":"⩰⫏≰1021200120=⫏≰-1100001121","layer":1},{"info":"⊑⫏≰-1100001121=⫏≰21010","layer":0}]}
{"id":168,"expression_no_base_symbol":"(($1237$∙⊟$1738$)⪘⫢($2164$⋫))⇤((⨙⪌$2768$)⊾⪯⋞(≇⪴$3327$))⩣⫁∢(⇾⩊⇾($5473$↞⋁$3151$⨎$1534$⫲≸⪮$1116$))","expression":"((⫏≰1200211∙⊟⫏≰2101101)⪘⫢(⫏≰2222011⋫))⇤((⨙⪌⫏≰10210112)⊾⪯⋞(≇⪴⫏≰11120020))⩣⫁∢(⇾⩊⇾(⫏≰21111201↞⋁⫏≰11022201⨎⫏≰2002211⫲≸⪮⫏≰1112100))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6220,"operation_count":12,"complexity_ratio":518.3333333333334,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1237,"base":3},"right_expr":{"type":"numeric_atoms","value":1738,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2164,"base":3}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2768,"base":3}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3327,"base":3}}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5473,"base":3},"right_expr":{"type":"numeric_atoms","value":3151,"base":3}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1534,"base":3},"right_expr":{"type":"numeric_atoms","value":1116,"base":3}}}}},"used_operators":["JDUIKTTSIa","YSKBFp38Pu","oacrs7FA3X","SxTAKzQCrw","JL8yIekQnl","HK0tfVPux8","vEGLkm4Z2k","zoVPnxeHJ3","bx9Z9DAK5y","rJVOvQCfKK","RqrPlJkxDo","P3lXMJvFrc"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","tmPS8pqC7x","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⫏≰1220011212010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1237","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=1738, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25927","layer":3},{"info":"number node, value=2164","layer":4},{"info":"compute unary expreesion, input=2164, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2164","layer":3},{"info":"compute binary expreesion, left_input=25927, right_input=2164, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=51730","layer":2},{"info":"number node, value=2768","layer":4},{"info":"compute unary expreesion, input=2768, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=3327","layer":4},{"info":"compute unary expreesion, input=3327, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-8641","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-8641, 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":2},{"info":"compute binary expreesion, left_input=51730, right_input=-820, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-251702","layer":1},{"info":"number node, value=5473","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=5473, right_input=3151, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=1116, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1534","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1534, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1534","layer":2},{"info":"compute unary expreesion, input=1534, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-20292","layer":1},{"info":"compute binary expreesion, left_input=-251702, right_input=-20292, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=1007373","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1200211∙⊟⫏≰2101101)⪘⫢(⫏≰2222011⋫))⇤((⨙⪌⫏≰10210112)⊾⪯⋞(≇⪴⫏≰11120020))⩣⫁∢(⇾⩊⇾(⫏≰21111201↞⋁⫏≰11022201⨎⫏≰2002211⫲≸⪮⫏≰1112100))=⫏≰1220011212010","reverse_text":"⫏≰1220011212010=((⫏≰1200211∙⊟⫏≰2101101)⪘⫢(⫏≰2222011⋫))⇤((⨙⪌⫏≰10210112)⊾⪯⋞(≇⪴⫏≰11120020))⩣⫁∢(⇾⩊⇾(⫏≰21111201↞⋁⫏≰11022201⨎⫏≰2002211⫲≸⪮⫏≰1112100))","cot":[{"info":"⫏≰1200211∙⊟⫏≰2101101=⫏≰1022120021","layer":3},{"info":"⫏≰2222011⋫=⫏≰2222011","layer":3},{"info":"⫏≰1022120021⪘⫢⫏≰2222011=⫏≰2121221221","layer":2},{"info":"⨙⪌⫏≰10210112=⫏≰1012011","layer":3},{"info":"≇⪴⫏≰11120020=⫏≰-102212001","layer":3},{"info":"⫏≰1012011⊾⪯⋞⫏≰-102212001=⫏≰-1010101","layer":2},{"info":"⫏≰2121221221⇤⫏≰-1010101=⫏≰-110210021022","layer":1},{"info":"⫏≰21111201↞⋁⫏≰11022201=NaN","layer":3},{"info":"⫏≰2002211⫲≸⪮⫏≰1112100=⫏≰2002211","layer":3},{"info":"NaN⨎⫏≰2002211=⫏≰2002211","layer":2},{"info":"⇾⩊⇾⫏≰2002211=⫏≰-1000211120","layer":1},{"info":"⫏≰-110210021022⩣⫁∢⫏≰-1000211120=⫏≰1220011212010","layer":0}]}
{"id":169,"expression_no_base_symbol":"((($1110$⨔≚≋$5691$)⪷)↡⊰⫅(↓⇌($3676$≒∊$2401$)))⊮⊟↴((⩒∊$1655$⪪$4826$)∴(($4267$⩹$6555$)≀⫉($4892$⨎$2585$)))","expression":"(((⫏≰1112010⨔≚≋⫏≰21210210)⪷)↡⊰⫅(↓⇌(⫏≰12001011≒∊⫏≰10021221)))⊮⊟↴((⩒∊⫏≰2021022⪪⫏≰20121202)∴((⫏≰12212001⩹⫏≰22222210)≀⫉(⫏≰20201012⨎⫏≰10112202)))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":104675,"operation_count":12,"complexity_ratio":8722.916666666666,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1110,"base":3},"right_expr":{"type":"numeric_atoms","value":5691,"base":3}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3676,"base":3},"right_expr":{"type":"numeric_atoms","value":2401,"base":3}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1655,"base":3},"right_expr":{"type":"numeric_atoms","value":4826,"base":3}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4267,"base":3},"right_expr":{"type":"numeric_atoms","value":6555,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4892,"base":3},"right_expr":{"type":"numeric_atoms","value":2585,"base":3}}}}},"used_operators":["QDVgd2eftb","VCtxkLNOzz","Qctrpi3WzA","Z57zeUYC9z","PxpmPgHHJV","5KTvxBwnZo","hrf7POJlIJ","qazvmhNBbN","xD69zh8xqp","oZj3VtZNQx","2Wsdkap16l","rJVOvQCfKK"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Nsiff2A1zJ","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫏≰20011122222000101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"number node, value=5691","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=5691, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=3676","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=3676, right_input=2401, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3192","layer":3},{"info":"compute unary expreesion, input=-3192, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-6384","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6384, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=1655","layer":4},{"info":"number node, value=4826","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=4826, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-245994","layer":3},{"info":"compute unary expreesion, input=-245994, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-739255","layer":2},{"info":"number node, value=4267","layer":4},{"info":"number node, value=6555","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=6555, 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=6553","layer":3},{"info":"number node, value=4892","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=4892, right_input=2585, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2585","layer":3},{"info":"compute binary expreesion, left_input=6553, right_input=2585, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-739255, right_input=2822, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-1476862","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1476862, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=88572781","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1112010⨔≚≋⫏≰21210210)⪷)↡⊰⫅(↓⇌(⫏≰12001011≒∊⫏≰10021221)))⊮⊟↴((⩒∊⫏≰2021022⪪⫏≰20121202)∴((⫏≰12212001⩹⫏≰22222210)≀⫉(⫏≰20201012⨎⫏≰10112202)))=⫏≰20011122222000101","reverse_text":"⫏≰20011122222000101=(((⫏≰1112010⨔≚≋⫏≰21210210)⪷)↡⊰⫅(↓⇌(⫏≰12001011≒∊⫏≰10021221)))⊮⊟↴((⩒∊⫏≰2021022⪪⫏≰20121202)∴((⫏≰12212001⩹⫏≰22222210)≀⫉(⫏≰20201012⨎⫏≰10112202)))","cot":[{"info":"⫏≰1112010⨔≚≋⫏≰21210210=⫏≰111112122","layer":3},{"info":"⫏≰111112122⪷=NaN","layer":2},{"info":"⫏≰12001011≒∊⫏≰10021221=⫏≰-11101020","layer":3},{"info":"↓⇌⫏≰-11101020=⫏≰-22202110","layer":2},{"info":"NaN↡⊰⫅⫏≰-22202110=NaN","layer":1},{"info":"⫏≰2021022⪪⫏≰20121202=⫏≰-110111102220","layer":3},{"info":"⩒∊⫏≰-110111102220=⫏≰-1101120001211","layer":2},{"info":"⫏≰12212001⩹⫏≰22222210=⫏≰22222201","layer":3},{"info":"⫏≰20201012⨎⫏≰10112202=⫏≰10112202","layer":3},{"info":"⫏≰22222201≀⫉⫏≰10112202=⫏≰10212112","layer":2},{"info":"⫏≰-1101120001211∴⫏≰10212112=⫏≰-2210000212121","layer":1},{"info":"NaN⊮⊟↴⫏≰-2210000212121=⫏≰20011122222000101","layer":0}]}
{"id":170,"expression_no_base_symbol":"($6282$⨭⪣$6626$)⫁($6362$⩦$1040$)⫰⋱($7923$⋳⪒$2041$)≌($2962$∠↢$3945$)⪒(($2043$⊬⫿⊭)⪪($2547$≓∲$2540$)⩭)","expression":"(⫏≰22121200⨭⪣⫏≰100002102)⫁(⫏≰22201122⩦⫏≰1102112)⫰⋱(⫏≰101212110⋳⪒⫏≰2210121)≌(⫏≰11001201∠↢⫏≰12102010)⪒((⫏≰2210200⊬⫿⊭)⪪(⫏≰10111100≓∲⫏≰10111002)⩭)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":208856,"operation_count":12,"complexity_ratio":17404.666666666668,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":6282,"base":3},"right_expr":{"type":"numeric_atoms","value":6626,"base":3}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6362,"base":3},"right_expr":{"type":"numeric_atoms","value":1040,"base":3}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7923,"base":3},"right_expr":{"type":"numeric_atoms","value":2041,"base":3}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2962,"base":3},"right_expr":{"type":"numeric_atoms","value":3945,"base":3}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2043,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2547,"base":3},"right_expr":{"type":"numeric_atoms","value":2540,"base":3}}}}},"used_operators":["f6k1SAg4EE","6o9Blt3TJ6","0ajvFaJAv0","kn8WO9XteQ","0kmYd0q39Y","lyWz822IDG","12rbrZMWeM","KbjG8mgYpV","yIPP7u6H5x","xD69zh8xqp","v0DYgG9ikt","s1XTVnmDOJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","cHh1gJQ2o6","AHs5Up7iyr","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6282","layer":4},{"info":"number node, value=6626","layer":4},{"info":"compute binary expreesion, left_input=6282, right_input=6626, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5003","layer":3},{"info":"number node, value=6362","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=6362, right_input=1040, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=12724","layer":3},{"info":"compute binary expreesion, left_input=5003, right_input=12724, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=7923","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=7923, right_input=2041, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13518","layer":3},{"info":"number node, value=2962","layer":4},{"info":"number node, value=3945","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=3945, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-65996","layer":3},{"info":"compute binary expreesion, left_input=13518, right_input=-65996, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=2043","layer":4},{"info":"compute unary expreesion, input=2043, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-6129","layer":3},{"info":"number node, value=2547","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=2540, 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=26253","layer":3},{"info":"compute binary expreesion, left_input=-6129, right_input=26253, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute unary expreesion, input=-6206, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰22121200⨭⪣⫏≰100002102)⫁(⫏≰22201122⩦⫏≰1102112)⫰⋱(⫏≰101212110⋳⪒⫏≰2210121)≌(⫏≰11001201∠↢⫏≰12102010)⪒((⫏≰2210200⊬⫿⊭)⪪(⫏≰10111100≓∲⫏≰10111002)⩭)=NaN","reverse_text":"NaN=(⫏≰22121200⨭⪣⫏≰100002102)⫁(⫏≰22201122⩦⫏≰1102112)⫰⋱(⫏≰101212110⋳⪒⫏≰2210121)≌(⫏≰11001201∠↢⫏≰12102010)⪒((⫏≰2210200⊬⫿⊭)⪪(⫏≰10111100≓∲⫏≰10111002)⩭)","cot":[{"info":"⫏≰22121200⨭⪣⫏≰100002102=⫏≰20212022","layer":3},{"info":"⫏≰22201122⩦⫏≰1102112=⫏≰122110021","layer":3},{"info":"⫏≰20212022⫁⫏≰122110021=⫏≰12221","layer":2},{"info":"⫏≰101212110⋳⪒⫏≰2210121=⫏≰200112200","layer":3},{"info":"⫏≰11001201∠↢⫏≰12102010=⫏≰-10100112022","layer":3},{"info":"⫏≰200112200≌⫏≰-10100112022=NaN","layer":2},{"info":"⫏≰12221⫰⋱NaN=NaN","layer":1},{"info":"⫏≰2210200⊬⫿⊭=⫏≰-22102000","layer":3},{"info":"⫏≰10111100≓∲⫏≰10111002=⫏≰1100000100","layer":3},{"info":"⫏≰-22102000⪪⫏≰1100000100=⫏≰-22111212","layer":2},{"info":"⫏≰-22111212⩭=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":171,"expression_no_base_symbol":"⊗(∨∊⋏(($2139$⫸⊐$3352$)⩺⪪($2839$↱$3647$)))","expression":"⊗(∨∊⋏((⫏≰2221020⫸⊐⫏≰11121011)⩺⪪(⫏≰10220011↱⫏≰12000002)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1559,"operation_count":5,"complexity_ratio":311.8,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2139,"base":3},"right_expr":{"type":"numeric_atoms","value":3352,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2839,"base":3},"right_expr":{"type":"numeric_atoms","value":3647,"base":3}}}}},"used_operators":["RhiyfpczSx","R5aXW34M0v","uvdQJvN4PV","mqXw5SEYmG","SR5kFfdi6N"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⫏≰1111002120102202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2139","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=3352, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13283","layer":3},{"info":"number node, value=2839","layer":4},{"info":"number node, value=3647","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=3647, 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=-10419","layer":3},{"info":"compute binary expreesion, left_input=13283, right_input=-10419, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-380130","layer":2},{"info":"compute unary expreesion, input=-380130, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-10654129","layer":1},{"info":"compute unary expreesion, input=-10654129, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=21308258","layer":0}],"base":3,"result_base":3,"text":"⊗(∨∊⋏((⫏≰2221020⫸⊐⫏≰11121011)⩺⪪(⫏≰10220011↱⫏≰12000002)))=⫏≰1111002120102202","reverse_text":"⫏≰1111002120102202=⊗(∨∊⋏((⫏≰2221020⫸⊐⫏≰11121011)⩺⪪(⫏≰10220011↱⫏≰12000002)))","cot":[{"info":"⫏≰2221020⫸⊐⫏≰11121011=⫏≰200012222","layer":3},{"info":"⫏≰10220011↱⫏≰12000002=⫏≰-112021220","layer":3},{"info":"⫏≰200012222⩺⪪⫏≰-112021220=⫏≰-201022102220","layer":2},{"info":"∨∊⋏⫏≰-201022102220=⫏≰-202001021201101","layer":1},{"info":"⊗⫏≰-202001021201101=⫏≰1111002120102202","layer":0}]}
{"id":172,"expression_no_base_symbol":"(($7043$⪔$2389$)⨐(⊤⊝$1217$)⫌⩉⩟($2157$⇷$1157$)⪚$7033$∋$4955$)⩇∃⫛(((⊑$1977$)⊉≛↸$3159$↳∿⪆$1378$)⪥⨬⪅)","expression":"((⫏≰100122212⪔⫏≰10021111)⨐(⊤⊝⫏≰1200002)⫌⩉⩟(⫏≰2221220⇷⫏≰1120212)⪚⫏≰100122111∋⫏≰20210112)⩇∃⫛(((⊑⫏≰2201020)⊉≛↸⫏≰11100000↳∿⪆⫏≰1220001)⪥⨬⪅)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42343779,"operation_count":12,"complexity_ratio":3528648.25,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":7043,"base":3},"right_expr":{"type":"numeric_atoms","value":2389,"base":3}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1217,"base":3}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2157,"base":3},"right_expr":{"type":"numeric_atoms","value":1157,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":7033,"base":3},"right_expr":{"type":"numeric_atoms","value":4955,"base":3}}}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1977,"base":3}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3159,"base":3},"right_expr":{"type":"numeric_atoms","value":1378,"base":3}}}}},"used_operators":["1aApVXNlOP","XIIwhv8d0m","Noe24qw2ks","GjBEYRfMaF","rXAclfmB4M","HrjLwUk87U","mp7IySMOzn","ukq6epAj5P","zNRQejTB5A","DZ8iAZOCBD","IkUmn0D7oy","Cw4SuJJGHO"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sdazOOVcIp","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⫏≰1212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7043","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=7043, right_input=2389, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1136","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=1136, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-900","layer":2},{"info":"number node, value=2157","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=1157, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2314","layer":3},{"info":"number node, value=7033","layer":4},{"info":"number node, value=4955","layer":4},{"info":"compute binary expreesion, left_input=7033, right_input=4955, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10578804","layer":3},{"info":"compute binary expreesion, left_input=2314, right_input=10578804, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-21153336","layer":2},{"info":"compute binary expreesion, left_input=-900, right_input=-21153336, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1977","layer":4},{"info":"compute unary expreesion, input=1977, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=3159","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=3159, right_input=1378, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=384","layer":2},{"info":"compute unary expreesion, input=384, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=-473, 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=50","layer":0}],"base":3,"result_base":3,"text":"((⫏≰100122212⪔⫏≰10021111)⨐(⊤⊝⫏≰1200002)⫌⩉⩟(⫏≰2221220⇷⫏≰1120212)⪚⫏≰100122111∋⫏≰20210112)⩇∃⫛(((⊑⫏≰2201020)⊉≛↸⫏≰11100000↳∿⪆⫏≰1220001)⪥⨬⪅)=⫏≰1212","reverse_text":"⫏≰1212=((⫏≰100122212⪔⫏≰10021111)⨐(⊤⊝⫏≰1200002)⫌⩉⩟(⫏≰2221220⇷⫏≰1120212)⪚⫏≰100122111∋⫏≰20210112)⩇∃⫛(((⊑⫏≰2201020)⊉≛↸⫏≰11100000↳∿⪆⫏≰1220001)⪥⨬⪅)","cot":[{"info":"⫏≰100122212⪔⫏≰10021111=⫏≰121200","layer":3},{"info":"⊤⊝⫏≰1200002=⫏≰1120002","layer":3},{"info":"⫏≰121200⨐⫏≰1120002=⫏≰-1020100","layer":2},{"info":"⫏≰2221220⇷⫏≰1120212=⫏≰10011201","layer":3},{"info":"⫏≰100122111∋⫏≰20210112=⫏≰201220110101120","layer":3},{"info":"⫏≰10011201⪚⫏≰201220110101120=⫏≰-1110210200220220","layer":2},{"info":"⫏≰-1020100⫌⩉⩟⫏≰-1110210200220220=⫏≰-1212","layer":1},{"info":"⊑⫏≰2201020=⫏≰21010","layer":3},{"info":"⫏≰11100000↳∿⪆⫏≰1220001=NaN","layer":3},{"info":"⫏≰21010⊉≛↸NaN=⫏≰112020","layer":2},{"info":"⫏≰112020⪥⨬⪅=⫏≰-122112","layer":1},{"info":"⫏≰-1212⩇∃⫛⫏≰-122112=⫏≰1212","layer":0}]}
{"id":173,"expression_no_base_symbol":"((($5872$⨸⪁$3415$)⪘⨀)⇼⇔∾(($2238$⪷)⊘))⋛($5043$⫲≸⪮$1508$↙($1085$∷$1005$)⊉≛↸$3986$≝⊿$3030$⊢($7980$⫒⫫$9364$))","expression":"(((⫏≰22001111⨸⪁⫏≰11200111)⪘⨀)⇼⇔∾((⫏≰10001220⪷)⊘))⋛(⫏≰20220210⫲≸⪮⫏≰2001212↙(⫏≰1111012∷⫏≰1101020)⊉≛↸⫏≰12110122≝⊿⫏≰11011020⊢(⫏≰101221120⫒⫫⫏≰110211211))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8452,"operation_count":13,"complexity_ratio":650.1538461538462,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5872,"base":3},"right_expr":{"type":"numeric_atoms","value":3415,"base":3}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2238,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5043,"base":3},"right_expr":{"type":"numeric_atoms","value":1508,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1085,"base":3},"right_expr":{"type":"numeric_atoms","value":1005,"base":3}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3986,"base":3},"right_expr":{"type":"numeric_atoms","value":3030,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":7980,"base":3},"right_expr":{"type":"numeric_atoms","value":9364,"base":3}}}}},"used_operators":["YbUVn0Rbpy","tifHPKVTfV","aA7tF3KVD3","g55IO6H4Gj","gu96TGCTMs","Qctrpi3WzA","DZ8iAZOCBD","yyfyN0ffXY","P3lXMJvFrc","D3AQDKkPcf","5twsqlHp2o","OKKcZfAt5B","6Ko8hGgeMq"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Nsiff2A1zJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","12rbrZMWeM","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⫏≰-10011011220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5872","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=5872, right_input=3415, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18574","layer":3},{"info":"compute unary expreesion, input=18574, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-37729","layer":2},{"info":"number node, value=2238","layer":4},{"info":"compute unary expreesion, input=2238, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-37729, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=5043","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=5043, right_input=1508, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5043","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1005, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1005","layer":3},{"info":"compute binary expreesion, left_input=5043, right_input=1005, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3015","layer":2},{"info":"number node, value=3986","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=3030, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10579","layer":3},{"info":"number node, value=7980","layer":4},{"info":"number node, value=9364","layer":4},{"info":"compute binary expreesion, left_input=7980, right_input=9364, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10579, 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=20914","layer":2},{"info":"compute binary expreesion, left_input=-3015, right_input=20914, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-20914","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20914, 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=-62097","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰22001111⨸⪁⫏≰11200111)⪘⨀)⇼⇔∾((⫏≰10001220⪷)⊘))⋛(⫏≰20220210⫲≸⪮⫏≰2001212↙(⫏≰1111012∷⫏≰1101020)⊉≛↸⫏≰12110122≝⊿⫏≰11011020⊢(⫏≰101221120⫒⫫⫏≰110211211))=⫏≰-10011011220","reverse_text":"⫏≰-10011011220=(((⫏≰22001111⨸⪁⫏≰11200111)⪘⨀)⇼⇔∾((⫏≰10001220⪷)⊘))⋛(⫏≰20220210⫲≸⪮⫏≰2001212↙(⫏≰1111012∷⫏≰1101020)⊉≛↸⫏≰12110122≝⊿⫏≰11011020⊢(⫏≰101221120⫒⫫⫏≰110211211))","cot":[{"info":"⫏≰22001111⨸⪁⫏≰11200111=⫏≰221110221","layer":3},{"info":"⫏≰221110221⪘⨀=⫏≰-1220202101","layer":2},{"info":"⫏≰10001220⪷=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"⫏≰-1220202101⇼⇔∾NaN=NaN","layer":1},{"info":"⫏≰20220210⫲≸⪮⫏≰2001212=⫏≰20220210","layer":3},{"info":"⫏≰1111012∷⫏≰1101020=⫏≰1101020","layer":3},{"info":"⫏≰20220210↙⫏≰1101020=⫏≰-11010200","layer":2},{"info":"⫏≰12110122≝⊿⫏≰11011020=⫏≰-112111211","layer":3},{"info":"⫏≰101221120⫒⫫⫏≰110211211=NaN","layer":3},{"info":"⫏≰-112111211⊢NaN=⫏≰1001200121","layer":2},{"info":"⫏≰-11010200⊉≛↸⫏≰1001200121=⫏≰-1001200121","layer":1},{"info":"NaN⋛⫏≰-1001200121=⫏≰-10011011220","layer":0}]}
{"id":174,"expression_no_base_symbol":"((⪹($1438$⋫))⋳⪒(⨣⨃⇪(∤↝$4615$)))⪪(≸(($3577$⊍⩺⋍$1033$)⫲≸⪮(⪝⪂⫅$2060$)))","expression":"((⪹(⫏≰1222021⋫))⋳⪒(⨣⨃⇪(∤↝⫏≰20022221)))⪪(≸((⫏≰11220111⊍⩺⋍⫏≰1102021)⫲≸⪮(⪝⪂⫅⫏≰2211022)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2229,"operation_count":10,"complexity_ratio":222.9,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1438,"base":3}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":4615,"base":3}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3577,"base":3},"right_expr":{"type":"numeric_atoms","value":1033,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2060,"base":3}}}}},"used_operators":["xD69zh8xqp","12rbrZMWeM","USyYr0JgAa","JL8yIekQnl","AcOhelriW5","3UMq87Qwqg","eOf03JbCpp","P3lXMJvFrc","OXDGMFPWZM","XTarYq4gQB"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫏≰-22111212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1438","layer":4},{"info":"compute unary expreesion, input=1438, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1438","layer":3},{"info":"compute unary expreesion, input=1438, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1258","layer":2},{"info":"number node, value=4615","layer":4},{"info":"compute unary expreesion, input=4615, 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=4615","layer":3},{"info":"compute unary expreesion, input=4615, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=-1258, right_input=1405, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4208","layer":1},{"info":"number node, value=3577","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=1033, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2060","layer":4},{"info":"compute unary expreesion, input=2060, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-302820","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-302820, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-4208, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":3,"result_base":3,"text":"((⪹(⫏≰1222021⋫))⋳⪒(⨣⨃⇪(∤↝⫏≰20022221)))⪪(≸((⫏≰11220111⊍⩺⋍⫏≰1102021)⫲≸⪮(⪝⪂⫅⫏≰2211022)))=⫏≰-22111212","reverse_text":"⫏≰-22111212=((⪹(⫏≰1222021⋫))⋳⪒(⨣⨃⇪(∤↝⫏≰20022221)))⪪(≸((⫏≰11220111⊍⩺⋍⫏≰1102021)⫲≸⪮(⪝⪂⫅⫏≰2211022)))","cot":[{"info":"⫏≰1222021⋫=⫏≰1222021","layer":3},{"info":"⪹⫏≰1222021=⫏≰-1201121","layer":2},{"info":"∤↝⫏≰20022221=⫏≰20022221","layer":3},{"info":"⨣⨃⇪⫏≰20022221=⫏≰1221001","layer":2},{"info":"⫏≰-1201121⋳⪒⫏≰1221001=⫏≰-12202212","layer":1},{"info":"⫏≰11220111⊍⩺⋍⫏≰1102021=NaN","layer":3},{"info":"⪝⪂⫅⫏≰2211022=⫏≰-120101101120","layer":3},{"info":"NaN⫲≸⪮⫏≰-120101101120=NaN","layer":2},{"info":"≸NaN=NaN","layer":1},{"info":"⫏≰-12202212⪪NaN=⫏≰-22111212","layer":0}]}
{"id":175,"expression_no_base_symbol":"(($1099$⪁$1373$)↼⊘⨖(↑$1986$))⨽∌(($2579$⩺⪪$1543$)⊢($2007$⋖∅⋲))⪄(($3989$∙∹∝$1268$)⋳⪒(⇜$2253$))≀⫉(($4142$⫲≸⪮$8214$)⫩)","expression":"((⫏≰1111201⪁⫏≰1212212)↼⊘⨖(↑⫏≰2201120))⨽∌((⫏≰10112112⩺⪪⫏≰2010011)⊢(⫏≰2202100⋖∅⋲))⪄((⫏≰12110202∙∹∝⫏≰1201222)⋳⪒(⇜⫏≰10002110))≀⫉((⫏≰12200102⫲≸⪮⫏≰102021020)⫩)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":23141946,"operation_count":14,"complexity_ratio":1652996.142857143,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1099,"base":3},"right_expr":{"type":"numeric_atoms","value":1373,"base":3}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1986,"base":3}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2579,"base":3},"right_expr":{"type":"numeric_atoms","value":1543,"base":3}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":2007,"base":3}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3989,"base":3},"right_expr":{"type":"numeric_atoms","value":1268,"base":3}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2253,"base":3}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4142,"base":3},"right_expr":{"type":"numeric_atoms","value":8214,"base":3}}}}},"used_operators":["SUmda5xLS4","9samAPKr6k","bPywburJMS","I7sXao9hZE","tR7O2zTn5j","5twsqlHp2o","uvdQJvN4PV","L95AwlJzhO","oZj3VtZNQx","12rbrZMWeM","HmxsFra2vL","lFBm8KRb8F","6aG7x05OhS","P3lXMJvFrc"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","dWAJyo7jo9","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⫏≰-101010020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1373, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1986","layer":4},{"info":"compute unary expreesion, input=1986, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=162","layer":2},{"info":"number node, value=2579","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=1543, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-17474","layer":3},{"info":"number node, value=2007","layer":4},{"info":"compute unary expreesion, input=2007, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=-17474, right_input=-384231, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=34704","layer":2},{"info":"compute binary expreesion, left_input=162, right_input=34704, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=3989","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=3989, right_input=1268, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2253","layer":4},{"info":"compute unary expreesion, input=2253, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-18432","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-18432, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=18145","layer":2},{"info":"number node, value=4142","layer":4},{"info":"number node, value=8214","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=8214, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4142","layer":3},{"info":"compute unary expreesion, input=4142, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=18145, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2822, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-7377","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1111201⪁⫏≰1212212)↼⊘⨖(↑⫏≰2201120))⨽∌((⫏≰10112112⩺⪪⫏≰2010011)⊢(⫏≰2202100⋖∅⋲))⪄((⫏≰12110202∙∹∝⫏≰1201222)⋳⪒(⇜⫏≰10002110))≀⫉((⫏≰12200102⫲≸⪮⫏≰102021020)⫩)=⫏≰-101010020","reverse_text":"⫏≰-101010020=((⫏≰1111201⪁⫏≰1212212)↼⊘⨖(↑⫏≰2201120))⨽∌((⫏≰10112112⩺⪪⫏≰2010011)⊢(⫏≰2202100⋖∅⋲))⪄((⫏≰12110202∙∹∝⫏≰1201222)⋳⪒(⇜⫏≰10002110))≀⫉((⫏≰12200102⫲≸⪮⫏≰102021020)⫩)","cot":[{"info":"⫏≰1111201⪁⫏≰1212212=NaN","layer":3},{"info":"↑⫏≰2201120=⫏≰21010","layer":3},{"info":"NaN↼⊘⨖⫏≰21010=⫏≰20000","layer":2},{"info":"⫏≰10112112⩺⪪⫏≰2010011=⫏≰-212222012","layer":3},{"info":"⫏≰2202100⋖∅⋲=⫏≰-201112001210","layer":3},{"info":"⫏≰-212222012⊢⫏≰-201112001210=⫏≰1202121100","layer":2},{"info":"⫏≰20000⨽∌⫏≰1202121100=⫏≰0","layer":1},{"info":"⫏≰12110202∙∹∝⫏≰1201222=⫏≰0","layer":3},{"info":"⇜⫏≰10002110=⫏≰-221021200","layer":3},{"info":"⫏≰0⋳⪒⫏≰-221021200=⫏≰220220001","layer":2},{"info":"⫏≰12200102⫲≸⪮⫏≰102021020=⫏≰12200102","layer":3},{"info":"⫏≰12200102⫩=NaN","layer":2},{"info":"⫏≰220220001≀⫉NaN=⫏≰10212112","layer":1},{"info":"⫏≰0⪄⫏≰10212112=⫏≰-101010020","layer":0}]}
{"id":176,"expression_no_base_symbol":"((⇋⊎⋝$3458$)⊲⩕⊾($2722$⊹≧⊝))⪃⊛⇣(($4239$≃$1147$)⪎↠($7337$⪄$4189$))⩚⊴⇥(⊿$3274$⋾⨃∁$2911$*$4693$⨪↰⇹$6232$)","expression":"((⇋⊎⋝⫏≰11202002)⊲⩕⊾(⫏≰10201211⊹≧⊝))⪃⊛⇣((⫏≰12211000≃⫏≰1120111)⪎↠(⫏≰101001202⪄⫏≰12202011))⩚⊴⇥(⊿⫏≰11111021⋾⨃∁⫏≰10222211*⫏≰20102211⨪↰⇹⫏≰22112211)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16550,"operation_count":12,"complexity_ratio":1379.1666666666667,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3458,"base":3}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":2722,"base":3}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4239,"base":3},"right_expr":{"type":"numeric_atoms","value":1147,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7337,"base":3},"right_expr":{"type":"numeric_atoms","value":4189,"base":3}}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3274,"base":3},"right_expr":{"type":"numeric_atoms","value":2911,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4693,"base":3},"right_expr":{"type":"numeric_atoms","value":6232,"base":3}}}}},"used_operators":["NTOWxs364D","rrgAzCduG9","DmTXOeWf9t","CzM2PEoXns","LxFB4K6j0n","3tVxb0NHM4","YbVcJGFEVW","SUmda5xLS4","DO4fhlbJSI","9HNa5Wba9A","212REbPD9h","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3458","layer":4},{"info":"compute unary expreesion, input=3458, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2722","layer":4},{"info":"compute unary expreesion, input=2722, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-10888","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10888, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"number node, value=4239","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=4239, right_input=1147, 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=-16996","layer":3},{"info":"number node, value=7337","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=7337, right_input=4189, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1098721","layer":3},{"info":"compute binary expreesion, left_input=-16996, right_input=-1098721, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-55, 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=3274","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=2911, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=84704184","layer":3},{"info":"number node, value=4693","layer":4},{"info":"number node, value=6232","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=6232, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4693","layer":3},{"info":"compute binary expreesion, left_input=84704184, right_input=4693, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇋⊎⋝⫏≰11202002)⊲⩕⊾(⫏≰10201211⊹≧⊝))⪃⊛⇣((⫏≰12211000≃⫏≰1120111)⪎↠(⫏≰101001202⪄⫏≰12202011))⩚⊴⇥(⊿⫏≰11111021⋾⨃∁⫏≰10222211*⫏≰20102211⨪↰⇹⫏≰22112211)=NaN","reverse_text":"NaN=((⇋⊎⋝⫏≰11202002)⊲⩕⊾(⫏≰10201211⊹≧⊝))⪃⊛⇣((⫏≰12211000≃⫏≰1120111)⪎↠(⫏≰101001202⪄⫏≰12202011))⩚⊴⇥(⊿⫏≰11111021⋾⨃∁⫏≰10222211*⫏≰20102211⨪↰⇹⫏≰22112211)","cot":[{"info":"⇋⊎⋝⫏≰11202002=NaN","layer":3},{"info":"⫏≰10201211⊹≧⊝=⫏≰-112221021","layer":3},{"info":"NaN⊲⩕⊾⫏≰-112221021=NaN","layer":2},{"info":"⫏≰12211000≃⫏≰1120111=⫏≰-212022111","layer":3},{"info":"⫏≰101001202⪄⫏≰12202011=⫏≰-2001211011101","layer":3},{"info":"⫏≰-212022111⪎↠⫏≰-2001211011101=⫏≰-2001","layer":2},{"info":"NaN⪃⊛⇣⫏≰-2001=⫏≰1200201","layer":1},{"info":"⫏≰11111021⋾⨃∁⫏≰10222211=⫏≰12220101102022000","layer":3},{"info":"⫏≰20102211⨪↰⇹⫏≰22112211=⫏≰20102211","layer":3},{"info":"⫏≰12220101102022000*⫏≰20102211=Inf","layer":2},{"info":"⊿Inf=NaN","layer":1},{"info":"⫏≰1200201⩚⊴⇥NaN=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"↡(($1526$⪢$1755$⪄$1981$≚⊃≕$2386$)⪕(($1574$⇉⇉)∪⫐($1539$⨵⪆$3427$)))","expression":"↡((⫏≰2002112⪢⫏≰2102000⪄⫏≰2201101≚⊃≕⫏≰10021101)⪕((⫏≰2011022⇉⇉)∪⫐(⫏≰2010000⨵⪆⫏≰11200221)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1888,"operation_count":8,"complexity_ratio":236.0,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1526,"base":3},"right_expr":{"type":"numeric_atoms","value":1755,"base":3}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1981,"base":3},"right_expr":{"type":"numeric_atoms","value":2386,"base":3}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1574,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1539,"base":3},"right_expr":{"type":"numeric_atoms","value":3427,"base":3}}}}},"used_operators":["MXaNJeIAZ3","umQnsF7QlU","SUmda5xLS4","dWAJyo7jo9","Bmrmz2XGnR","7YooWSwCyH","diKm42VcIt","2DQ55sFlQl"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰102112200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=1755, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1981","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=2386, 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":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1574","layer":4},{"info":"compute unary expreesion, input=1574, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-92288","layer":3},{"info":"number node, value=1539","layer":4},{"info":"number node, value=3427","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=3427, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-92288, right_input=160, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-92288","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-92288, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute unary expreesion, input=935, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=8415","layer":0}],"base":3,"result_base":3,"text":"↡((⫏≰2002112⪢⫏≰2102000⪄⫏≰2201101≚⊃≕⫏≰10021101)⪕((⫏≰2011022⇉⇉)∪⫐(⫏≰2010000⨵⪆⫏≰11200221)))=⫏≰102112200","reverse_text":"⫏≰102112200=↡((⫏≰2002112⪢⫏≰2102000⪄⫏≰2201101≚⊃≕⫏≰10021101)⪕((⫏≰2011022⇉⇉)∪⫐(⫏≰2010000⨵⪆⫏≰11200221)))","cot":[{"info":"⫏≰2002112⪢⫏≰2102000=NaN","layer":3},{"info":"⫏≰2201101≚⊃≕⫏≰10021101=⫏≰2111","layer":3},{"info":"NaN⪄⫏≰2111=⫏≰12110101","layer":2},{"info":"⫏≰2011022⇉⇉=⫏≰-11200121002","layer":3},{"info":"⫏≰2010000⨵⪆⫏≰11200221=⫏≰12221","layer":3},{"info":"⫏≰-11200121002∪⫐⫏≰12221=⫏≰-11200121002","layer":2},{"info":"⫏≰12110101⪕⫏≰-11200121002=⫏≰1021122","layer":1},{"info":"↡⫏≰1021122=⫏≰102112200","layer":0}]}
{"id":178,"expression_no_base_symbol":"((⊢≑≆(⩒∊$1262$))⫲≸⪮(⊈$1843$)⨸($1394$⊔$5663$))⨚⇆($1946$≠≀$1974$≥⨤⩑$3461$≦↸$4962$∠↢($2063$⇗⋫)⫁⪎($3986$↸$5214$))","expression":"((⊢≑≆(⩒∊⫏≰1201202))⫲≸⪮(⊈⫏≰2112021)⨸(⫏≰1220122⊔⫏≰21202202))⨚⇆(⫏≰2200002≠≀⫏≰2201010≥⨤⩑⫏≰11202012≦↸⫏≰20210210∠↢(⫏≰2211102⇗⋫)⫁⪎(⫏≰12110122↸⫏≰21011010))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":240263,"operation_count":14,"complexity_ratio":17161.64285714286,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1262,"base":3}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1843,"base":3}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1394,"base":3},"right_expr":{"type":"numeric_atoms","value":5663,"base":3}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1946,"base":3},"right_expr":{"type":"numeric_atoms","value":1974,"base":3}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3461,"base":3},"right_expr":{"type":"numeric_atoms","value":4962,"base":3}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":2063,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3986,"base":3},"right_expr":{"type":"numeric_atoms","value":5214,"base":3}}}}},"used_operators":["lwHaAYXP2r","P3lXMJvFrc","27wFxooxGf","qazvmhNBbN","KmoU8R5UQR","RHru8klgy8","E4l6HwMY31","KbjG8mgYpV","gJLn6v0xnP","IwW236VD4Y","RygbFNSyEJ","xRrnTEsQ6j","hpqmaQFPrd","1eCjFl0mb9"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","12rbrZMWeM","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rxpJgHHUmx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"-Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1767","layer":3},{"info":"compute unary expreesion, input=1767, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=7520","layer":2},{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2017","layer":3},{"info":"number node, value=1394","layer":4},{"info":"number node, value=5663","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=5663, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=28703","layer":3},{"info":"compute binary expreesion, left_input=-2017, right_input=28703, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4034","layer":2},{"info":"compute binary expreesion, left_input=7520, right_input=4034, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7520","layer":1},{"info":"number node, value=1946","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=1974, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3586","layer":3},{"info":"number node, value=3461","layer":4},{"info":"number node, value=4962","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=4962, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-16165","layer":3},{"info":"compute binary expreesion, left_input=-3586, right_input=-16165, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"number node, value=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=3986","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=5214, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3986","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3986, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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":1},{"info":"compute binary expreesion, left_input=7520, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":0}],"base":3,"result_base":3,"text":"((⊢≑≆(⩒∊⫏≰1201202))⫲≸⪮(⊈⫏≰2112021)⨸(⫏≰1220122⊔⫏≰21202202))⨚⇆(⫏≰2200002≠≀⫏≰2201010≥⨤⩑⫏≰11202012≦↸⫏≰20210210∠↢(⫏≰2211102⇗⋫)⫁⪎(⫏≰12110122↸⫏≰21011010))=-Inf","reverse_text":"-Inf=((⊢≑≆(⩒∊⫏≰1201202))⫲≸⪮(⊈⫏≰2112021)⨸(⫏≰1220122⊔⫏≰21202202))⨚⇆(⫏≰2200002≠≀⫏≰2201010≥⨤⩑⫏≰11202012≦↸⫏≰20210210∠↢(⫏≰2211102⇗⋫)⫁⪎(⫏≰12110122↸⫏≰21011010))","cot":[{"info":"⩒∊⫏≰1201202=⫏≰2102110","layer":3},{"info":"⊢≑≆⫏≰2102110=⫏≰101022112","layer":2},{"info":"⊈⫏≰2112021=⫏≰-2202201","layer":3},{"info":"⫏≰1220122⊔⫏≰21202202=⫏≰1110101002","layer":3},{"info":"⫏≰-2202201⨸⫏≰1110101002=⫏≰12112102","layer":2},{"info":"⫏≰101022112⫲≸⪮⫏≰12112102=⫏≰101022112","layer":1},{"info":"⫏≰2200002≠≀⫏≰2201010=⫏≰-11220211","layer":3},{"info":"⫏≰11202012≦↸⫏≰20210210=⫏≰-211011201","layer":3},{"info":"⫏≰-11220211≥⨤⩑⫏≰-211011201=NaN","layer":2},{"info":"⫏≰2211102⇗⋫=NaN","layer":3},{"info":"⫏≰12110122↸⫏≰21011010=⫏≰12110122","layer":3},{"info":"NaN⫁⪎⫏≰12110122=NaN","layer":2},{"info":"NaN∠↢NaN=NaN","layer":1},{"info":"⫏≰101022112⨚⇆NaN=-Inf","layer":0}]}
{"id":179,"expression_no_base_symbol":"↘($6978$∀⇚≩$1585$↡⊰⫅$1963$⨥⫆$7902$∷($1294$⨚$2439$⫚↹⊑(≔$1566$)))","expression":"↘(⫏≰100120110∀⇚≩⫏≰2011201↡⊰⫅⫏≰2200201⨥⫆⫏≰101211200∷(⫏≰1202221⨚⫏≰10100100⫚↹⊑(≔⫏≰2011000)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":268557,"operation_count":8,"complexity_ratio":33569.625,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6978,"base":3},"right_expr":{"type":"numeric_atoms","value":1585,"base":3}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1963,"base":3},"right_expr":{"type":"numeric_atoms","value":7902,"base":3}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1294,"base":3},"right_expr":{"type":"numeric_atoms","value":2439,"base":3}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1566,"base":3}}}}},"used_operators":["LdNpr8hQHL","D3AQDKkPcf","VCtxkLNOzz","LRNGc0VcxI","yXekIHxTD4","dfKe02y8D2","nREPSIbpBE","8FLs4eVsLt"],"dependent_operators":["uFcxV4UQCh","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","X99M06cbEe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","BjRHVeLaeN","12rbrZMWeM","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"⫏≰112011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6978","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=6978, right_input=1585, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1963","layer":4},{"info":"number node, value=7902","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=7902, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=15680","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15680, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=31360","layer":2},{"info":"number node, value=1294","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=2439, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-6234","layer":3},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-42554","layer":3},{"info":"compute binary expreesion, left_input=-6234, right_input=-42554, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=31360, right_input=-447, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-32154","layer":1},{"info":"compute unary expreesion, input=-32154, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=382","layer":0}],"base":3,"result_base":3,"text":"↘(⫏≰100120110∀⇚≩⫏≰2011201↡⊰⫅⫏≰2200201⨥⫆⫏≰101211200∷(⫏≰1202221⨚⫏≰10100100⫚↹⊑(≔⫏≰2011000)))=⫏≰112011","reverse_text":"⫏≰112011=↘(⫏≰100120110∀⇚≩⫏≰2011201↡⊰⫅⫏≰2200201⨥⫆⫏≰101211200∷(⫏≰1202221⨚⫏≰10100100⫚↹⊑(≔⫏≰2011000)))","cot":[{"info":"⫏≰100120110∀⇚≩⫏≰2011201=NaN","layer":3},{"info":"⫏≰2200201⨥⫆⫏≰101211200=⫏≰210111202","layer":3},{"info":"NaN↡⊰⫅⫏≰210111202=⫏≰1121000111","layer":2},{"info":"⫏≰1202221⨚⫏≰10100100=⫏≰-22112220","layer":3},{"info":"≔⫏≰2011000=⫏≰-2011101002","layer":3},{"info":"⫏≰-22112220⫚↹⊑⫏≰-2011101002=⫏≰-121120","layer":2},{"info":"⫏≰1121000111∷⫏≰-121120=⫏≰-1122002220","layer":1},{"info":"↘⫏≰-1122002220=⫏≰112011","layer":0}]}
{"id":180,"expression_no_base_symbol":"(($4027$⪷)⪢(⪁⇼$5299$))⩘(⋎⨆$1595$⨟⋌⩍$4937$)↙(($8979$≄⊠$1393$)⩼⇪↪($2904$⊓⋫))⫯⪬∳(∜⨇($7445$⫰⋱$1539$))","expression":"((⫏≰12112011⪷)⪢(⪁⇼⫏≰21021021))⩘(⋎⨆⫏≰2012002⨟⋌⩍⫏≰20202212)↙((⫏≰110022120≄⊠⫏≰1220121)⩼⇪↪(⫏≰10222120⊓⋫))⫯⪬∳(∜⨇(⫏≰101012202⫰⋱⫏≰2010000))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":228077,"operation_count":13,"complexity_ratio":17544.384615384617,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":4027,"base":3}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":5299,"base":3}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1595,"base":3},"right_expr":{"type":"numeric_atoms","value":4937,"base":3}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":8979,"base":3},"right_expr":{"type":"numeric_atoms","value":1393,"base":3}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":2904,"base":3}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":7445,"base":3},"right_expr":{"type":"numeric_atoms","value":1539,"base":3}}}}},"used_operators":["yyfyN0ffXY","cHh1gJQ2o6","dWAJyo7jo9","Qctrpi3WzA","ZNVVrZ94lY","E64sFOc4tB","rGHVDoGpnC","d7ASUq0ydm","ocnLzx9CaJ","vXNesLlMH1","IqGBaFP0uj","uFPyJr306J","6o9Blt3TJ6"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","k8jYdgA6NY","Nsiff2A1zJ","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","Tcnh7f0tEr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⫏≰-1021000012210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4027","layer":4},{"info":"compute unary expreesion, input=4027, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=5299","layer":4},{"info":"compute unary expreesion, input=5299, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=422, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1595","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=4937, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=8979","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=8979, right_input=1393, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=26956","layer":3},{"info":"number node, value=2904","layer":4},{"info":"compute unary expreesion, input=2904, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3032","layer":3},{"info":"compute binary expreesion, left_input=26956, right_input=-3032, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=74353","layer":2},{"info":"number node, value=7445","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=7445, right_input=1539, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-7412","layer":3},{"info":"compute unary expreesion, input=-7412, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=74353, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=223126","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=223126, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-669378","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12112011⪷)⪢(⪁⇼⫏≰21021021))⩘(⋎⨆⫏≰2012002⨟⋌⩍⫏≰20202212)↙((⫏≰110022120≄⊠⫏≰1220121)⩼⇪↪(⫏≰10222120⊓⋫))⫯⪬∳(∜⨇(⫏≰101012202⫰⋱⫏≰2010000))=⫏≰-1021000012210","reverse_text":"⫏≰-1021000012210=((⫏≰12112011⪷)⪢(⪁⇼⫏≰21021021))⩘(⋎⨆⫏≰2012002⨟⋌⩍⫏≰20202212)↙((⫏≰110022120≄⊠⫏≰1220121)⩼⇪↪(⫏≰10222120⊓⋫))⫯⪬∳(∜⨇(⫏≰101012202⫰⋱⫏≰2010000))","cot":[{"info":"⫏≰12112011⪷=NaN","layer":3},{"info":"⪁⇼⫏≰21021021=⫏≰120122","layer":3},{"info":"NaN⪢⫏≰120122=NaN","layer":2},{"info":"⫏≰2012002⨟⋌⩍⫏≰20202212=NaN","layer":3},{"info":"⋎⨆NaN=⫏≰120122201221000","layer":2},{"info":"NaN⩘⫏≰120122201221000=⫏≰12221","layer":1},{"info":"⫏≰110022120≄⊠⫏≰1220121=⫏≰1100222101","layer":3},{"info":"⫏≰10222120⊓⋫=⫏≰-11011022","layer":3},{"info":"⫏≰1100222101⩼⇪↪⫏≰-11011022=⫏≰10202222211","layer":2},{"info":"⫏≰101012202⫰⋱⫏≰2010000=⫏≰-101011112","layer":3},{"info":"∜⨇⫏≰-101011112=NaN","layer":2},{"info":"⫏≰10202222211⫯⪬∳NaN=⫏≰102100001221","layer":1},{"info":"⫏≰12221↙⫏≰102100001221=⫏≰-1021000012210","layer":0}]}
{"id":181,"expression_no_base_symbol":"(⋃$1365$)⊋$3048$⊮⊟↴$2696$⊔($2385$⫒⫫$2403$/$3279$⨻⩈⩔$1308$)∪⫐($2087$↺$1223$)⊋≦⊧$3133$≦↸$7374$⨎(($2619$⋷$5455$)⪛⫼$1902$⨐⩸⫘$3272$)","expression":"(⋃⫏≰1212120)⊋⫏≰11011220⊮⊟↴⫏≰10200212⊔(⫏≰10021100⫒⫫⫏≰10022000/⫏≰11111110⨻⩈⩔⫏≰1210110)∪⫐(⫏≰2212022↺⫏≰1200022)⊋≦⊧⫏≰11022001≦↸⫏≰101010010⨎((⫏≰10121000⋷⫏≰21111001)⪛⫼⫏≰2121110⨐⩸⫘⫏≰11111012)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":549,"operation_count":15,"complexity_ratio":36.6,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1365,"base":3}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3048,"base":3},"right_expr":{"type":"numeric_atoms","value":2696,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2385,"base":3},"right_expr":{"type":"numeric_atoms","value":2403,"base":3}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3279,"base":3},"right_expr":{"type":"numeric_atoms","value":1308,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2087,"base":3},"right_expr":{"type":"numeric_atoms","value":1223,"base":3}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3133,"base":3},"right_expr":{"type":"numeric_atoms","value":7374,"base":3}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2619,"base":3},"right_expr":{"type":"numeric_atoms","value":5455,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1902,"base":3},"right_expr":{"type":"numeric_atoms","value":3272,"base":3}}}}},"used_operators":["7YooWSwCyH","E4l6HwMY31","W4tP9CfskL","3mBM5G4a3l","QDVgd2eftb","XhwjNDsVaA","6Ko8hGgeMq","nEsXyWgiOK","rJVOvQCfKK","oRDoc9rAEX","7j4O788W3g","RygbFNSyEJ","hyuBjUqXlG","23Mk6UjR3U","fu6greOZ01"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","g55IO6H4Gj","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2832","layer":3},{"info":"number node, value=3048","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=2696, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2832, 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":2},{"info":"number node, value=2385","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=2403, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=3279","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=1308, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=17831","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17831, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5454, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"number node, value=2087","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=1223, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1223","layer":3},{"info":"number node, value=3133","layer":4},{"info":"number node, value=7374","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=7374, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-20333","layer":3},{"info":"compute binary expreesion, left_input=1223, right_input=-20333, 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=40906","layer":2},{"info":"number node, value=2619","layer":4},{"info":"number node, value=5455","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=5455, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8291","layer":3},{"info":"number node, value=1902","layer":4},{"info":"number node, value=3272","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=3272, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8291, 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":2},{"info":"compute binary expreesion, left_input=40906, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋃⫏≰1212120)⊋⫏≰11011220⊮⊟↴⫏≰10200212⊔(⫏≰10021100⫒⫫⫏≰10022000/⫏≰11111110⨻⩈⩔⫏≰1210110)∪⫐(⫏≰2212022↺⫏≰1200022)⊋≦⊧⫏≰11022001≦↸⫏≰101010010⨎((⫏≰10121000⋷⫏≰21111001)⪛⫼⫏≰2121110⨐⩸⫘⫏≰11111012)=NaN","reverse_text":"NaN=(⋃⫏≰1212120)⊋⫏≰11011220⊮⊟↴⫏≰10200212⊔(⫏≰10021100⫒⫫⫏≰10022000/⫏≰11111110⨻⩈⩔⫏≰1210110)∪⫐(⫏≰2212022↺⫏≰1200022)⊋≦⊧⫏≰11022001≦↸⫏≰101010010⨎((⫏≰10121000⋷⫏≰21111001)⪛⫼⫏≰2121110⨐⩸⫘⫏≰11111012)","cot":[{"info":"⋃⫏≰1212120=⫏≰10212220","layer":3},{"info":"⫏≰11011220⊮⊟↴⫏≰10200212=⫏≰0","layer":3},{"info":"⫏≰10212220⊋⫏≰0=⫏≰-21111000","layer":2},{"info":"⫏≰10021100⫒⫫⫏≰10022000=NaN","layer":3},{"info":"⫏≰11111110⨻⩈⩔⫏≰1210110=⫏≰220110102","layer":3},{"info":"NaN/⫏≰220110102=NaN","layer":2},{"info":"⫏≰-21111000⊔NaN=NaN","layer":1},{"info":"⫏≰2212022↺⫏≰1200022=⫏≰1200022","layer":3},{"info":"⫏≰11022001≦↸⫏≰101010010=⫏≰-1000220002","layer":3},{"info":"⫏≰1200022⊋≦⊧⫏≰-1000220002=⫏≰2002010001","layer":2},{"info":"⫏≰10121000⋷⫏≰21111001=⫏≰102101002","layer":3},{"info":"⫏≰2121110⨐⩸⫘⫏≰11111012=NaN","layer":3},{"info":"⫏≰102101002⪛⫼NaN=NaN","layer":2},{"info":"⫏≰2002010001⨎NaN=NaN","layer":1},{"info":"NaN∪⫐NaN=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"∤↝((→⩰$1314$)⨂≜($7523$⊉↱≁$4234$)≋⫹)","expression":"∤↝((→⩰⫏≰1210200)⨂≜(⫏≰101022122⊉↱≁⫏≰12210211)≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1825,"operation_count":5,"complexity_ratio":365.0,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1314,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":7523,"base":3},"right_expr":{"type":"numeric_atoms","value":4234,"base":3}}}}},"used_operators":["3UMq87Qwqg","N41Kp7NANJ","k1SHOSEABc","o8Pngz0Tml","w2P8NbNXyL"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=7523","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=7523, right_input=4234, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=49774","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=49774, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"∤↝((→⩰⫏≰1210200)⨂≜(⫏≰101022122⊉↱≁⫏≰12210211)≋⫹)=NaN","reverse_text":"NaN=∤↝((→⩰⫏≰1210200)⨂≜(⫏≰101022122⊉↱≁⫏≰12210211)≋⫹)","cot":[{"info":"→⩰⫏≰1210200=NaN","layer":3},{"info":"⫏≰101022122⊉↱≁⫏≰12210211=⫏≰2112021111","layer":3},{"info":"NaN⨂≜⫏≰2112021111=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"∤↝NaN=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"↡($1762$⨻⩈⩔$4158$≬⇓$1607$⊮⊟↴$3104$∪⫐(($2753$⪄$7143$)⫻⋑⊟))","expression":"↡(⫏≰2102021⨻⩈⩔⫏≰12201000≬⇓⫏≰2012112⊮⊟↴⫏≰11020222∪⫐((⫏≰10202222⪄⫏≰100210120)⫻⋑⊟))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":295,"operation_count":7,"complexity_ratio":42.142857142857146,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1762,"base":3},"right_expr":{"type":"numeric_atoms","value":4158,"base":3}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1607,"base":3},"right_expr":{"type":"numeric_atoms","value":3104,"base":3}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2753,"base":3},"right_expr":{"type":"numeric_atoms","value":7143,"base":3}}}}},"used_operators":["MXaNJeIAZ3","7YooWSwCyH","jWTQ2TZYIH","nEsXyWgiOK","QDVgd2eftb","o575Zjdmzy","SUmda5xLS4"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rJVOvQCfKK","2DDjHMKMc0","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫏≰-21100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":4},{"info":"number node, value=4158","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=4158, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5695","layer":3},{"info":"number node, value=1607","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=3104, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5695, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=2753","layer":4},{"info":"number node, value=7143","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=7143, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-432105","layer":3},{"info":"compute unary expreesion, input=-432105, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=2593140","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=2593140, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-198","layer":0}],"base":3,"result_base":3,"text":"↡(⫏≰2102021⨻⩈⩔⫏≰12201000≬⇓⫏≰2012112⊮⊟↴⫏≰11020222∪⫐((⫏≰10202222⪄⫏≰100210120)⫻⋑⊟))=⫏≰-21100","reverse_text":"⫏≰-21100=↡(⫏≰2102021⨻⩈⩔⫏≰12201000≬⇓⫏≰2012112⊮⊟↴⫏≰11020222∪⫐((⫏≰10202222⪄⫏≰100210120)⫻⋑⊟))","cot":[{"info":"⫏≰2102021⨻⩈⩔⫏≰12201000=⫏≰21210221","layer":3},{"info":"⫏≰2012112⊮⊟↴⫏≰11020222=⫏≰0","layer":3},{"info":"⫏≰21210221≬⇓⫏≰0=⫏≰-211","layer":2},{"info":"⫏≰10202222⪄⫏≰100210120=⫏≰-210221201220","layer":3},{"info":"⫏≰-210221201220⫻⋑⊟=⫏≰11212202010020","layer":2},{"info":"⫏≰-211∪⫐⫏≰11212202010020=⫏≰-211","layer":1},{"info":"↡⫏≰-211=⫏≰-21100","layer":0}]}
{"id":184,"expression_no_base_symbol":"(($1313$∠↢$3119$)⩍⋽⫝̸$2493$⪟⇏$7444$⊋≦⊧(⊢≑≆$1700$)≨$3080$⫯⪬∳$6153$)⩺⋐⫨","expression":"((⫏≰1210122∠↢⫏≰11021112)⩍⋽⫝̸⫏≰10102100⪟⇏⫏≰101012201⊋≦⊧(⊢≑≆⫏≰2022222)≨⫏≰11020002⫯⪬∳⫏≰22102220)⩺⋐⫨","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":425,"operation_count":8,"complexity_ratio":53.125,"tree":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1313,"base":3},"right_expr":{"type":"numeric_atoms","value":3119,"base":3}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2493,"base":3},"right_expr":{"type":"numeric_atoms","value":7444,"base":3}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1700,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3080,"base":3},"right_expr":{"type":"numeric_atoms","value":6153,"base":3}}}}},"used_operators":["yS9ePUuUdn","oRDoc9rAEX","BiWNJpBvwn","KbjG8mgYpV","GODebY97qR","0KMCeP1Jsh","27wFxooxGf","d7ASUq0ydm"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1313","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=3119, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-47836","layer":3},{"info":"number node, value=2493","layer":4},{"info":"number node, value=7444","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=7444, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-47836, right_input=-1, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-208","layer":2},{"info":"number node, value=1700","layer":4},{"info":"compute unary expreesion, input=1700, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=7252","layer":3},{"info":"number node, value=3080","layer":4},{"info":"number node, value=6153","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=6153, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9280","layer":3},{"info":"compute binary expreesion, left_input=7252, right_input=9280, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-70044","layer":2},{"info":"compute binary expreesion, left_input=-208, right_input=-70044, 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=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1210122∠↢⫏≰11021112)⩍⋽⫝̸⫏≰10102100⪟⇏⫏≰101012201⊋≦⊧(⊢≑≆⫏≰2022222)≨⫏≰11020002⫯⪬∳⫏≰22102220)⩺⋐⫨=⫏≰0","reverse_text":"⫏≰0=((⫏≰1210122∠↢⫏≰11021112)⩍⋽⫝̸⫏≰10102100⪟⇏⫏≰101012201⊋≦⊧(⊢≑≆⫏≰2022222)≨⫏≰11020002⫯⪬∳⫏≰22102220)⩺⋐⫨","cot":[{"info":"⫏≰1210122∠↢⫏≰11021112=⫏≰-2102121201","layer":3},{"info":"⫏≰10102100⪟⇏⫏≰101012201=⫏≰-1","layer":3},{"info":"⫏≰-2102121201⩍⋽⫝̸⫏≰-1=⫏≰-21201","layer":2},{"info":"⊢≑≆⫏≰2022222=⫏≰100221121","layer":3},{"info":"⫏≰11020002⫯⪬∳⫏≰22102220=⫏≰110201201","layer":3},{"info":"⫏≰100221121≨⫏≰110201201=⫏≰-10120002020","layer":2},{"info":"⫏≰-21201⊋≦⊧⫏≰-10120002020=⫏≰21010","layer":1},{"info":"⫏≰21010⩺⋐⫨=⫏≰0","layer":0}]}
{"id":185,"expression_no_base_symbol":"(↨⩢⫨($8433$∛$1432$⪛($1675$⨫⇇↔$1680$)))⨚($6105$⋥≓≎$2287$⫳≱↱$3450$⪔$5489$)⪔⊥($3379$⇌⫙⪟$3258$⨑≵⋬$2045$∀⇚≩$5773$)","expression":"(↨⩢⫨(⫏≰102120100∛⫏≰1222001⪛(⫏≰2022001⨫⇇↔⫏≰2022020)))⨚(⫏≰22101010⋥≓≎⫏≰10010201⫳≱↱⫏≰11201210⪔⫏≰21112022)⪔⊥(⫏≰11122011⇌⫙⪟⫏≰11110200⨑≵⋬⫏≰2210202∀⇚≩⫏≰21220211)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20177,"operation_count":12,"complexity_ratio":1681.4166666666667,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":8433,"base":3},"right_expr":{"type":"numeric_atoms","value":1432,"base":3}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1675,"base":3},"right_expr":{"type":"numeric_atoms","value":1680,"base":3}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6105,"base":3},"right_expr":{"type":"numeric_atoms","value":2287,"base":3}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3450,"base":3},"right_expr":{"type":"numeric_atoms","value":5489,"base":3}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3379,"base":3},"right_expr":{"type":"numeric_atoms","value":3258,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2045,"base":3},"right_expr":{"type":"numeric_atoms","value":5773,"base":3}}}}},"used_operators":["nREPSIbpBE","Z5CJsN7DuW","uFcxV4UQCh","w2537kitQq","LXhwmt4mBO","HJ9erzHUuu","ZvLB05nZmT","Qy55tPpLXF","GjBEYRfMaF","XnXgA4xnOs","AFVx7xoS7T","LRNGc0VcxI"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8433","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=8433, right_input=1432, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1675","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=1680, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-527, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-460","layer":2},{"info":"compute unary expreesion, input=-460, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=6105","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=6105, right_input=2287, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1498","layer":3},{"info":"number node, value=3450","layer":4},{"info":"number node, value=5489","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=5489, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-1498, right_input=450, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"number node, value=3379","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=3379, right_input=3258, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2045","layer":4},{"info":"number node, value=5773","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=5773, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2802, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↨⩢⫨(⫏≰102120100∛⫏≰1222001⪛(⫏≰2022001⨫⇇↔⫏≰2022020)))⨚(⫏≰22101010⋥≓≎⫏≰10010201⫳≱↱⫏≰11201210⪔⫏≰21112022)⪔⊥(⫏≰11122011⇌⫙⪟⫏≰11110200⨑≵⋬⫏≰2210202∀⇚≩⫏≰21220211)=NaN","reverse_text":"NaN=(↨⩢⫨(⫏≰102120100∛⫏≰1222001⪛(⫏≰2022001⨫⇇↔⫏≰2022020)))⨚(⫏≰22101010⋥≓≎⫏≰10010201⫳≱↱⫏≰11201210⪔⫏≰21112022)⪔⊥(⫏≰11122011⇌⫙⪟⫏≰11110200⨑≵⋬⫏≰2210202∀⇚≩⫏≰21220211)","cot":[{"info":"⫏≰102120100∛⫏≰1222001=⫏≰2111","layer":3},{"info":"⫏≰2022001⨫⇇↔⫏≰2022020=⫏≰-201112","layer":3},{"info":"⫏≰2111⪛⫏≰-201112=⫏≰-122001","layer":2},{"info":"↨⩢⫨⫏≰-122001=⫏≰0","layer":1},{"info":"⫏≰22101010⋥≓≎⫏≰10010201=⫏≰-2001111","layer":3},{"info":"⫏≰11201210⪔⫏≰21112022=⫏≰121200","layer":3},{"info":"⫏≰-2001111⫳≱↱⫏≰121200=⫏≰-10211210","layer":2},{"info":"⫏≰11122011⇌⫙⪟⫏≰11110200=⫏≰11012","layer":3},{"info":"⫏≰2210202∀⇚≩⫏≰21220211=NaN","layer":3},{"info":"⫏≰11012⨑≵⋬NaN=NaN","layer":2},{"info":"⫏≰-10211210⪔⊥NaN=NaN","layer":1},{"info":"⫏≰0⨚NaN=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"(((⩏⊷≩$1525$)⊲⩕⊾($1260$⨓$3867$))⪷)⩘","expression":"(((⩏⊷≩⫏≰2002111)⊲⩕⊾(⫏≰1201200⨓⫏≰12022020))⪷)⩘","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":45912,"operation_count":5,"complexity_ratio":9182.4,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1525,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1260,"base":3},"right_expr":{"type":"numeric_atoms","value":3867,"base":3}}}}},"used_operators":["wvHyciQT5X","Qctrpi3WzA","DmTXOeWf9t","uOZ1tnYMDE","3ViojmjbAp"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","Nsiff2A1zJ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","23Mk6UjR3U","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1525","layer":4},{"info":"compute unary expreesion, input=1525, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2749","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=3867, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3870","layer":3},{"info":"compute binary expreesion, left_input=2749, right_input=-3870, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=41946","layer":2},{"info":"compute unary expreesion, input=41946, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":3,"result_base":3,"text":"(((⩏⊷≩⫏≰2002111)⊲⩕⊾(⫏≰1201200⨓⫏≰12022020))⪷)⩘=⫏≰2111","reverse_text":"⫏≰2111=(((⩏⊷≩⫏≰2002111)⊲⩕⊾(⫏≰1201200⨓⫏≰12022020))⪷)⩘","cot":[{"info":"⩏⊷≩⫏≰2002111=⫏≰10202211","layer":3},{"info":"⫏≰1201200⨓⫏≰12022020=⫏≰-12022100","layer":3},{"info":"⫏≰10202211⊲⩕⊾⫏≰-12022100=⫏≰2010112120","layer":2},{"info":"⫏≰2010112120⪷=NaN","layer":1},{"info":"NaN⩘=⫏≰2111","layer":0}]}
{"id":187,"expression_no_base_symbol":"(≅≯⇸(⋠∜(⊄⩳↩$1286$)))⪪(↞≼($6048$⋕⪉⪜$7755$↸(∂$2109$)))","expression":"(≅≯⇸(⋠∜(⊄⩳↩⫏≰1202122)))⪪(↞≼(⫏≰22022000⋕⪉⪜⫏≰101122020↸(∂⫏≰2220010)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":439,"operation_count":8,"complexity_ratio":54.875,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1286,"base":3}}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6048,"base":3},"right_expr":{"type":"numeric_atoms","value":7755,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2109,"base":3}}}}},"used_operators":["xD69zh8xqp","apS25hmuAe","ZJpFhNJr3x","8w2t5hMYqp","DE7zCoGJt9","1eCjFl0mb9","z6LnFrNh4i","Uaa54Peajs"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","EBcxylXtPf","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⫏≰-22111212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3858","layer":3},{"info":"compute unary expreesion, input=-3858, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-13148","layer":2},{"info":"compute unary expreesion, input=-13148, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-44915","layer":1},{"info":"number node, value=6048","layer":4},{"info":"number node, value=7755","layer":4},{"info":"compute binary expreesion, left_input=6048, right_input=7755, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=1218","layer":1},{"info":"compute binary expreesion, left_input=-44915, right_input=1218, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":3,"result_base":3,"text":"(≅≯⇸(⋠∜(⊄⩳↩⫏≰1202122)))⪪(↞≼(⫏≰22022000⋕⪉⪜⫏≰101122020↸(∂⫏≰2220010)))=⫏≰-22111212","reverse_text":"⫏≰-22111212=(≅≯⇸(⋠∜(⊄⩳↩⫏≰1202122)))⪪(↞≼(⫏≰22022000⋕⪉⪜⫏≰101122020↸(∂⫏≰2220010)))","cot":[{"info":"⊄⩳↩⫏≰1202122=⫏≰-12021220","layer":3},{"info":"⋠∜⫏≰-12021220=⫏≰-200000222","layer":2},{"info":"≅≯⇸⫏≰-200000222=⫏≰-2021121112","layer":1},{"info":"⫏≰22022000⋕⪉⪜⫏≰101122020=⫏≰21120","layer":3},{"info":"∂⫏≰2220010=NaN","layer":3},{"info":"⫏≰21120↸NaN=⫏≰21120","layer":2},{"info":"↞≼⫏≰21120=⫏≰1200010","layer":1},{"info":"⫏≰-2021121112⪪⫏≰1200010=⫏≰-22111212","layer":0}]}
{"id":188,"expression_no_base_symbol":"(($4647$⨜⨶$5870$⇍⊗($1066$⊔$1866$))⩼⇪↪($5615$⊋$3342$)⇤($1695$⋆⋳))↢(($8238$⪕$2385$)∴($2208$↹⊜$3227$)∖(⇘($2990$⊋≦⊧$1441$)))","expression":"((⫏≰20101010⨜⨶⫏≰22001102⇍⊗(⫏≰1110111⊔⫏≰2120010))⩼⇪↪(⫏≰21200222⊋⫏≰11120210)⇤(⫏≰2022210⋆⋳))↢((⫏≰102022010⪕⫏≰10021100)∴(⫏≰10000210↹⊜⫏≰11102112)∖(⇘(⫏≰11002202⊋≦⊧⫏≰1222101)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10366,"operation_count":14,"complexity_ratio":740.4285714285714,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4647,"base":3},"right_expr":{"type":"numeric_atoms","value":5870,"base":3}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1066,"base":3},"right_expr":{"type":"numeric_atoms","value":1866,"base":3}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5615,"base":3},"right_expr":{"type":"numeric_atoms","value":3342,"base":3}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1695,"base":3}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":8238,"base":3},"right_expr":{"type":"numeric_atoms","value":2385,"base":3}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2208,"base":3},"right_expr":{"type":"numeric_atoms","value":3227,"base":3}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2990,"base":3},"right_expr":{"type":"numeric_atoms","value":1441,"base":3}}}}},"used_operators":["WR6HLWljOP","ocnLzx9CaJ","5uvYHDjeKN","HiPekx5b7W","E4l6HwMY31","YSKBFp38Pu","W4tP9CfskL","6MpZysEj17","tXD093vOjl","hrf7POJlIJ","umQnsF7QlU","9bazX3JMtO","MGuIdZPyUC","oRDoc9rAEX"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⫏≰12110010122020202002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4647","layer":4},{"info":"number node, value=5870","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=5870, 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=-11484","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1866, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9062","layer":3},{"info":"compute binary expreesion, left_input=-11484, right_input=9062, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=5615","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=5615, right_input=3342, 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=60324704","layer":3},{"info":"number node, value=1695","layer":4},{"info":"compute unary expreesion, input=1695, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-3422","layer":3},{"info":"compute binary expreesion, left_input=60324704, right_input=-3422, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-301603562","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-301603562, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=2111223663","layer":1},{"info":"number node, value=8238","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=8238, right_input=2385, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=14992","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=3227, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-8588","layer":3},{"info":"compute binary expreesion, left_input=14992, right_input=-8588, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=31632","layer":2},{"info":"number node, value=2990","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=1441, 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=-2642","layer":3},{"info":"compute unary expreesion, input=-2642, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-237324857","layer":2},{"info":"compute binary expreesion, left_input=31632, right_input=-237324857, 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=2111223663, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2111223179","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20101010⨜⨶⫏≰22001102⇍⊗(⫏≰1110111⊔⫏≰2120010))⩼⇪↪(⫏≰21200222⊋⫏≰11120210)⇤(⫏≰2022210⋆⋳))↢((⫏≰102022010⪕⫏≰10021100)∴(⫏≰10000210↹⊜⫏≰11102112)∖(⇘(⫏≰11002202⊋≦⊧⫏≰1222101)))=⫏≰12110010122020202002","reverse_text":"⫏≰12110010122020202002=((⫏≰20101010⨜⨶⫏≰22001102⇍⊗(⫏≰1110111⊔⫏≰2120010))⩼⇪↪(⫏≰21200222⊋⫏≰11120210)⇤(⫏≰2022210⋆⋳))↢((⫏≰102022010⪕⫏≰10021100)∴(⫏≰10000210↹⊜⫏≰11102112)∖(⇘(⫏≰11002202⊋≦⊧⫏≰1222101)))","cot":[{"info":"⫏≰20101010⨜⨶⫏≰22001102=⫏≰-120202100","layer":3},{"info":"⫏≰1110111⊔⫏≰2120010=⫏≰110102122","layer":3},{"info":"⫏≰-120202100⇍⊗⫏≰110102122=⫏≰-100001","layer":2},{"info":"⫏≰21200222⊋⫏≰11120210=⫏≰11012111210221022","layer":3},{"info":"⫏≰2022210⋆⋳=⫏≰-11200202","layer":3},{"info":"⫏≰11012111210221022⇤⫏≰-11200202=⫏≰-210000112001022022","layer":2},{"info":"⫏≰-100001⩼⇪↪⫏≰-210000112001022022=⫏≰12110010122021102000","layer":1},{"info":"⫏≰102022010⪕⫏≰10021100=⫏≰202120021","layer":3},{"info":"⫏≰10000210↹⊜⫏≰11102112=⫏≰-102210002","layer":3},{"info":"⫏≰202120021∴⫏≰-102210002=⫏≰1121101120","layer":2},{"info":"⫏≰11002202⊋≦⊧⫏≰1222101=⫏≰-10121212","layer":3},{"info":"⇘⫏≰-10121212=⫏≰-121112120100111112","layer":2},{"info":"⫏≰1121101120∖⫏≰-121112120100111112=⫏≰0","layer":1},{"info":"⫏≰12110010122021102000↢⫏≰0=⫏≰12110010122020202002","layer":0}]}
{"id":189,"expression_no_base_symbol":"(⪝⪂⫅($8165$⇼⇔∾$1760$⫃⨇($1603$⩹$2170$)))↺($1369$⋥⋵⩄$1570$↸$1792$⪍↜⋙$1317$)⋅⇍$1392$∇⊂⋱$6819$⫒⫫$2508$⪬$6785$","expression":"(⪝⪂⫅(⫏≰102012102⇼⇔∾⫏≰2102012⫃⨇(⫏≰2012101⩹⫏≰2222101)))↺(⫏≰1212201⋥⋵⩄⫏≰2011011↸⫏≰2110101⪍↜⋙⫏≰1210210)⋅⇍⫏≰1220120∇⊂⋱⫏≰100100120⫒⫫⫏≰10102220⪬⫏≰100022022","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":926,"operation_count":12,"complexity_ratio":77.16666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8165,"base":3},"right_expr":{"type":"numeric_atoms","value":1760,"base":3}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1603,"base":3},"right_expr":{"type":"numeric_atoms","value":2170,"base":3}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1369,"base":3},"right_expr":{"type":"numeric_atoms","value":1570,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1792,"base":3},"right_expr":{"type":"numeric_atoms","value":1317,"base":3}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1392,"base":3},"right_expr":{"type":"numeric_atoms","value":6819,"base":3}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2508,"base":3},"right_expr":{"type":"numeric_atoms","value":6785,"base":3}}}}},"used_operators":["7j4O788W3g","XTarYq4gQB","09Ly4LVMIf","tifHPKVTfV","2Wsdkap16l","AdZkA7nFnk","1eCjFl0mb9","7t3wd0Fuz7","L05ObWFQCd","6Ko8hGgeMq","nhYeJWJD5X","Ez1Nq5fNfI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⫏≰-221102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8165","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=8165, right_input=1760, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6405","layer":3},{"info":"number node, value=1603","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=2170, 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=2168","layer":3},{"info":"compute binary expreesion, left_input=-6405, right_input=2168, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8704","layer":2},{"info":"compute unary expreesion, input=-8704, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1279488","layer":1},{"info":"number node, value=1369","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=1570, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1792","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=1317, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=950","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=950, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=113","layer":2},{"info":"number node, value=1392","layer":4},{"info":"number node, value=6819","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=6819, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2238","layer":3},{"info":"number node, value=2508","layer":4},{"info":"number node, value=6785","layer":4},{"info":"compute binary expreesion, left_input=2508, right_input=6785, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2238, right_input=1234, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-686","layer":1},{"info":"compute binary expreesion, left_input=1279488, right_input=-686, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-686","layer":0}],"base":3,"result_base":3,"text":"(⪝⪂⫅(⫏≰102012102⇼⇔∾⫏≰2102012⫃⨇(⫏≰2012101⩹⫏≰2222101)))↺(⫏≰1212201⋥⋵⩄⫏≰2011011↸⫏≰2110101⪍↜⋙⫏≰1210210)⋅⇍⫏≰1220120∇⊂⋱⫏≰100100120⫒⫫⫏≰10102220⪬⫏≰100022022=⫏≰-221102","reverse_text":"⫏≰-221102=(⪝⪂⫅(⫏≰102012102⇼⇔∾⫏≰2102012⫃⨇(⫏≰2012101⩹⫏≰2222101)))↺(⫏≰1212201⋥⋵⩄⫏≰2011011↸⫏≰2110101⪍↜⋙⫏≰1210210)⋅⇍⫏≰1220120∇⊂⋱⫏≰100100120⫒⫫⫏≰10102220⪬⫏≰100022022","cot":[{"info":"⫏≰102012102⇼⇔∾⫏≰2102012=⫏≰-22210020","layer":3},{"info":"⫏≰2012101⩹⫏≰2222101=⫏≰2222022","layer":3},{"info":"⫏≰-22210020⫃⨇⫏≰2222022=⫏≰-102221101","layer":2},{"info":"⪝⪂⫅⫏≰-102221101=⫏≰2102000010110","layer":1},{"info":"⫏≰1212201⋥⋵⩄⫏≰2011011=⫏≰11012","layer":3},{"info":"⫏≰2110101⪍↜⋙⫏≰1210210=⫏≰1022012","layer":3},{"info":"⫏≰11012↸⫏≰1022012=⫏≰11012","layer":2},{"info":"⫏≰1220120∇⊂⋱⫏≰100100120=⫏≰10001220","layer":3},{"info":"⫏≰10102220⪬⫏≰100022022=⫏≰1200201","layer":3},{"info":"⫏≰10001220⫒⫫⫏≰1200201=NaN","layer":2},{"info":"⫏≰11012⋅⇍NaN=⫏≰-221102","layer":1},{"info":"⫏≰2102000010110↺⫏≰-221102=⫏≰-221102","layer":0}]}
{"id":190,"expression_no_base_symbol":"→⩰($1102$⪨⊡$5937$⨔≚≋$5856$↼⊘⨖$2835$)⫘((⊖∈$8391$)≨($1186$⨁⊸⫻))","expression":"→⩰(⫏≰1111211⪨⊡⫏≰22010220⨔≚≋⫏≰22000220↼⊘⨖⫏≰10220000)⫘((⊖∈⫏≰102111210)≨(⫏≰1121221⨁⊸⫻))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":47125,"operation_count":8,"complexity_ratio":5890.625,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1102,"base":3},"right_expr":{"type":"numeric_atoms","value":5937,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5856,"base":3},"right_expr":{"type":"numeric_atoms","value":2835,"base":3}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":8391,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1186,"base":3}}}}},"used_operators":["o8Pngz0Tml","48vC8HMD2b","Z57zeUYC9z","kuIXHzHcAH","bPywburJMS","0KMCeP1Jsh","YFxL8Sc2Zy","glklzrTFfD"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":4},{"info":"number node, value=5937","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=5937, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5856","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=5856, right_input=2835, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5448","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5448, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-46344","layer":2},{"info":"number node, value=8391","layer":4},{"info":"compute unary expreesion, input=8391, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=162226","layer":3},{"info":"number node, value=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1186","layer":3},{"info":"compute binary expreesion, left_input=162226, right_input=1186, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-1619784","layer":2},{"info":"compute binary expreesion, left_input=-46344, right_input=-1619784, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=204366779","layer":1},{"info":"compute unary expreesion, input=204366779, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"→⩰(⫏≰1111211⪨⊡⫏≰22010220⨔≚≋⫏≰22000220↼⊘⨖⫏≰10220000)⫘((⊖∈⫏≰102111210)≨(⫏≰1121221⨁⊸⫻))=NaN","reverse_text":"NaN=→⩰(⫏≰1111211⪨⊡⫏≰22010220⨔≚≋⫏≰22000220↼⊘⨖⫏≰10220000)⫘((⊖∈⫏≰102111210)≨(⫏≰1121221⨁⊸⫻))","cot":[{"info":"⫏≰1111211⪨⊡⫏≰22010220=⫏≰0","layer":3},{"info":"⫏≰22000220↼⊘⨖⫏≰10220000=⫏≰21110210","layer":3},{"info":"⫏≰0⨔≚≋⫏≰21110210=⫏≰-2100120110","layer":2},{"info":"⊖∈⫏≰102111210=⫏≰22020112101","layer":3},{"info":"⫏≰1121221⨁⊸⫻=⫏≰1121221","layer":3},{"info":"⫏≰22020112101≨⫏≰1121221=⫏≰-10001021221000","layer":2},{"info":"⫏≰-2100120110⫘⫏≰-10001021221000=⫏≰112020112220111222","layer":1},{"info":"→⩰⫏≰112020112220111222=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"($1390$⋻⩜⩜$3409$∪⫐$3011$⋾⨃∁$1176$)⨂≜((↥≼⋛$1341$)≬⇓$2247$⋥≓≎$5791$)⪗","expression":"(⫏≰1220111⋻⩜⩜⫏≰11200021∪⫐⫏≰11010112⋾⨃∁⫏≰1121120)⨂≜((↥≼⋛⫏≰1211200)≬⇓⫏≰10002020⋥≓≎⫏≰21221111)⪗","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":51918,"operation_count":8,"complexity_ratio":6489.75,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1390,"base":3},"right_expr":{"type":"numeric_atoms","value":3409,"base":3}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3011,"base":3},"right_expr":{"type":"numeric_atoms","value":1176,"base":3}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1341,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2247,"base":3},"right_expr":{"type":"numeric_atoms","value":5791,"base":3}}}}},"used_operators":["VEQNXA0ZBg","k1SHOSEABc","7YooWSwCyH","oDCm7WA9JY","212REbPD9h","jWTQ2TZYIH","x5lMkHmzsq","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rJVOvQCfKK","2DDjHMKMc0","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"number node, value=3409","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=3409, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2780","layer":3},{"info":"number node, value=3011","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=1176, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=13815554","layer":3},{"info":"compute binary expreesion, left_input=2780, right_input=13815554, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2780","layer":2},{"info":"number node, value=1341","layer":4},{"info":"compute unary expreesion, input=1341, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=2247","layer":4},{"info":"number node, value=5791","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=5791, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9368","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=9368, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2780, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=30907870","layer":1},{"info":"compute unary expreesion, input=30907870, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1220111⋻⩜⩜⫏≰11200021∪⫐⫏≰11010112⋾⨃∁⫏≰1121120)⨂≜((↥≼⋛⫏≰1211200)≬⇓⫏≰10002020⋥≓≎⫏≰21221111)⪗=NaN","reverse_text":"NaN=(⫏≰1220111⋻⩜⩜⫏≰11200021∪⫐⫏≰11010112⋾⨃∁⫏≰1121120)⨂≜((↥≼⋛⫏≰1211200)≬⇓⫏≰10002020⋥≓≎⫏≰21221111)⪗","cot":[{"info":"⫏≰1220111⋻⩜⩜⫏≰11200021=⫏≰10210222","layer":3},{"info":"⫏≰11010112⋾⨃∁⫏≰1121120=⫏≰221222220101012","layer":3},{"info":"⫏≰10210222∪⫐⫏≰221222220101012=⫏≰10210222","layer":2},{"info":"↥≼⋛⫏≰1211200=⫏≰-11012","layer":3},{"info":"⫏≰10002020⋥≓≎⫏≰21221111=⫏≰110211222","layer":3},{"info":"⫏≰-11012≬⇓⫏≰110211222=⫏≰0","layer":2},{"info":"⫏≰10210222⨂≜⫏≰0=⫏≰2011011021121221","layer":1},{"info":"⫏≰2011011021121221⪗=NaN","layer":0}]}
{"id":192,"expression_no_base_symbol":"($3659$⪛$2082$⩨(≸≮$5287$))⊲⩕⊾((≅≯⇸$2829$)⪨⊡($3548$⊧↖))↰","expression":"(⫏≰12000112⪛⫏≰2212010⩨(≸≮⫏≰21020211))⊲⩕⊾((≅≯⇸⫏≰10212210)⪨⊡(⫏≰11212102⊧↖))↰","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23796,"operation_count":8,"complexity_ratio":2974.5,"tree":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3659,"base":3},"right_expr":{"type":"numeric_atoms","value":2082,"base":3}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":5287,"base":3}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2829,"base":3}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3548,"base":3}}}}},"used_operators":["bl5wxAcryP","DmTXOeWf9t","2DlMacCsIx","uFcxV4UQCh","AljMvE3RRm","kuIXHzHcAH","apS25hmuAe","EKiFHuOFxO"],"dependent_operators":["nCS4ZIUYfx","Z2TMIBDE3Q","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","EBcxylXtPf","QMFrweE19q","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3659","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=3659, right_input=2082, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1577","layer":3},{"info":"number node, value=5287","layer":4},{"info":"compute unary expreesion, input=5287, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1577, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2829","layer":4},{"info":"compute unary expreesion, input=2829, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=18993","layer":3},{"info":"number node, value=3548","layer":4},{"info":"compute unary expreesion, input=3548, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=75548240","layer":3},{"info":"compute binary expreesion, left_input=18993, right_input=75548240, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12000112⪛⫏≰2212010⩨(≸≮⫏≰21020211))⊲⩕⊾((≅≯⇸⫏≰10212210)⪨⊡(⫏≰11212102⊧↖))↰=NaN","reverse_text":"NaN=(⫏≰12000112⪛⫏≰2212010⩨(≸≮⫏≰21020211))⊲⩕⊾((≅≯⇸⫏≰10212210)⪨⊡(⫏≰11212102⊧↖))↰","cot":[{"info":"⫏≰12000112⪛⫏≰2212010=⫏≰2011102","layer":3},{"info":"≸≮⫏≰21020211=NaN","layer":3},{"info":"⫏≰2011102⩨NaN=NaN","layer":2},{"info":"≅≯⇸⫏≰10212210=⫏≰222001110","layer":3},{"info":"⫏≰11212102⊧↖=⫏≰12021011020200222","layer":3},{"info":"⫏≰222001110⪨⊡⫏≰12021011020200222=⫏≰0","layer":2},{"info":"NaN⊲⩕⊾⫏≰0=NaN","layer":1},{"info":"NaN↰=NaN","layer":0}]}
{"id":193,"expression_no_base_symbol":"(($1502$⫘$3276$⇆⨓≜)∽(+⊝⨔$1498$)↺($2355$∈))⋖∅⋲","expression":"((⫏≰2001122⫘⫏≰11111100⇆⨓≜)∽(+⊝⨔⫏≰2001111)↺(⫏≰10020020∈))⋖∅⋲","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1967,"operation_count":7,"complexity_ratio":281.0,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1502,"base":3},"right_expr":{"type":"numeric_atoms","value":3276,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1498,"base":3}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":2355,"base":3}}}}},"used_operators":["L95AwlJzhO","y4ImoPnbV5","KvvgdUaMHJ","48vC8HMD2b","7j4O788W3g","DhbWaqg5eL","ztP7wcbY7m"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","NTOWxs364D","QMFrweE19q","Uaa54Peajs","KYD54nUTWz","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1502","layer":4},{"info":"number node, value=3276","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=3276, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1770757","layer":3},{"info":"compute unary expreesion, input=1770757, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=1498","layer":4},{"info":"compute unary expreesion, input=1498, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=2355","layer":4},{"info":"compute unary expreesion, input=2355, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=6394","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=6394, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6394","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6394, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2001122⫘⫏≰11111100⇆⨓≜)∽(+⊝⨔⫏≰2001111)↺(⫏≰10020020∈))⋖∅⋲=NaN","reverse_text":"NaN=((⫏≰2001122⫘⫏≰11111100⇆⨓≜)∽(+⊝⨔⫏≰2001111)↺(⫏≰10020020∈))⋖∅⋲","cot":[{"info":"⫏≰2001122⫘⫏≰11111100=⫏≰10022222000121","layer":3},{"info":"⫏≰10022222000121⇆⨓≜=NaN","layer":2},{"info":"+⊝⨔⫏≰2001111=⫏≰2002101","layer":3},{"info":"⫏≰10020020∈=⫏≰22202211","layer":3},{"info":"⫏≰2002101↺⫏≰22202211=⫏≰22202211","layer":2},{"info":"NaN∽⫏≰22202211=NaN","layer":1},{"info":"NaN⋖∅⋲=NaN","layer":0}]}
{"id":194,"expression_no_base_symbol":"(⇙⪊($3891$↳∿⪆$2268$⇀∌))∲⫓(($5827$↬$5413$)∇⊂⋱($6113$≓∲$5171$))∊∟⩊($1983$∲⫓$4236$)⪟⇏($5082$⩣⫁∢$2166$)","expression":"(⇙⪊(⫏≰12100010↳∿⪆⫏≰10010000⇀∌))∲⫓((⫏≰21222211↬⫏≰21102111)∇⊂⋱(⫏≰22101102≓∲⫏≰21002112))∊∟⩊(⫏≰2201110∲⫓⫏≰12210220)⪟⇏(⫏≰20222020⩣⫁∢⫏≰2222020)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2583,"operation_count":11,"complexity_ratio":234.8181818181818,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3891,"base":3},"right_expr":{"type":"numeric_atoms","value":2268,"base":3}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5827,"base":3},"right_expr":{"type":"numeric_atoms","value":5413,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6113,"base":3},"right_expr":{"type":"numeric_atoms","value":5171,"base":3}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1983,"base":3},"right_expr":{"type":"numeric_atoms","value":4236,"base":3}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5082,"base":3},"right_expr":{"type":"numeric_atoms","value":2166,"base":3}}}}},"used_operators":["i8ToyICDmI","pB6Fcnrjim","2k53nXOpI5","Cw4SuJJGHO","ddLRYrp01A","nhYeJWJD5X","B5M0gjZbta","s1XTVnmDOJ","GODebY97qR","JDUIKTTSIa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rGHVDoGpnC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3891","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=2268, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=5827","layer":4},{"info":"number node, value=5413","layer":4},{"info":"compute binary expreesion, left_input=5827, right_input=5413, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6113","layer":4},{"info":"number node, value=5171","layer":4},{"info":"compute binary expreesion, left_input=6113, right_input=5171, 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=61913","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=61913, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=1983","layer":4},{"info":"number node, value=4236","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=4236, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5082","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=5082, right_input=2166, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10003","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10003, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇙⪊(⫏≰12100010↳∿⪆⫏≰10010000⇀∌))∲⫓((⫏≰21222211↬⫏≰21102111)∇⊂⋱(⫏≰22101102≓∲⫏≰21002112))∊∟⩊(⫏≰2201110∲⫓⫏≰12210220)⪟⇏(⫏≰20222020⩣⫁∢⫏≰2222020)=NaN","reverse_text":"NaN=(⇙⪊(⫏≰12100010↳∿⪆⫏≰10010000⇀∌))∲⫓((⫏≰21222211↬⫏≰21102111)∇⊂⋱(⫏≰22101102≓∲⫏≰21002112))∊∟⩊(⫏≰2201110∲⫓⫏≰12210220)⪟⇏(⫏≰20222020⩣⫁∢⫏≰2222020)","cot":[{"info":"⫏≰12100010↳∿⪆⫏≰10010000=NaN","layer":3},{"info":"NaN⇀∌=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"⫏≰21222211↬⫏≰21102111=NaN","layer":3},{"info":"⫏≰22101102≓∲⫏≰21002112=⫏≰10010221002","layer":3},{"info":"NaN∇⊂⋱⫏≰10010221002=NaN","layer":2},{"info":"⫏≰2201110∲⫓⫏≰12210220=⫏≰0","layer":3},{"info":"⫏≰20222020⩣⫁∢⫏≰2222020=⫏≰-111201111","layer":3},{"info":"⫏≰0⪟⇏⫏≰-111201111=⫏≰0","layer":2},{"info":"NaN∊∟⩊⫏≰0=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"((⊑$3992$⊕∕$8047$)⊋($1937$↳≱$5183$⨽(⊖∈$2584$)))⩁⩘((↩⪖$1113$)⪭(⊈$2115$)⫰⋱((⇖⫷⫕$3150$)⫍⨯↯))","expression":"((⊑⫏≰12110212⊕∕⫏≰102001001)⊋(⫏≰2122202↳≱⫏≰21002222⨽(⊖∈⫏≰10112201)))⩁⩘((↩⪖⫏≰1112020)⪭(⊈⫏≰2220100)⫰⋱((⇖⫷⫕⫏≰11022200)⫍⨯↯))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1468,"operation_count":13,"complexity_ratio":112.92307692307692,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3992,"base":3},"right_expr":{"type":"numeric_atoms","value":8047,"base":3}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1937,"base":3},"right_expr":{"type":"numeric_atoms","value":5183,"base":3}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2584,"base":3}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1113,"base":3}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2115,"base":3}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3150,"base":3}}}}},"used_operators":["gub5Cegaqo","W4tP9CfskL","IkUmn0D7oy","9cloC0Ngie","8HhzD0ZcuI","JwTKLfZU96","YFxL8Sc2Zy","6o9Blt3TJ6","j9kHMeSvPp","fG6uBQFnGz","RHru8klgy8","ZcwmYACASQ","UHmRx3INFg"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","12rbrZMWeM","xUOZtlo3hN","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"⫏≰-1212120100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3992","layer":4},{"info":"number node, value=8047","layer":4},{"info":"compute binary expreesion, left_input=3992, right_input=8047, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3992","layer":3},{"info":"compute unary expreesion, input=3992, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=1937","layer":4},{"info":"number node, value=5183","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=5183, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2584","layer":4},{"info":"compute unary expreesion, input=2584, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=46086","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=46086, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-136944","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-136944, 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=-2744334","layer":1},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-9660","layer":3},{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2289","layer":3},{"info":"compute binary expreesion, left_input=-9660, right_input=-2289, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=9486","layer":2},{"info":"number node, value=3150","layer":4},{"info":"compute unary expreesion, input=3150, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=2789","layer":2},{"info":"compute binary expreesion, left_input=9486, right_input=2789, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-9453","layer":1},{"info":"compute binary expreesion, left_input=-2744334, right_input=-9453, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-36864","layer":0}],"base":3,"result_base":3,"text":"((⊑⫏≰12110212⊕∕⫏≰102001001)⊋(⫏≰2122202↳≱⫏≰21002222⨽(⊖∈⫏≰10112201)))⩁⩘((↩⪖⫏≰1112020)⪭(⊈⫏≰2220100)⫰⋱((⇖⫷⫕⫏≰11022200)⫍⨯↯))=⫏≰-1212120100","reverse_text":"⫏≰-1212120100=((⊑⫏≰12110212⊕∕⫏≰102001001)⊋(⫏≰2122202↳≱⫏≰21002222⨽(⊖∈⫏≰10112201)))⩁⩘((↩⪖⫏≰1112020)⪭(⊈⫏≰2220100)⫰⋱((⇖⫷⫕⫏≰11022200)⫍⨯↯))","cot":[{"info":"⫏≰12110212⊕∕⫏≰102001001=⫏≰12110212","layer":3},{"info":"⊑⫏≰12110212=⫏≰21010","layer":2},{"info":"⫏≰2122202↳≱⫏≰21002222=⫏≰0","layer":3},{"info":"⊖∈⫏≰10112201=⫏≰2100012220","layer":3},{"info":"⫏≰0⨽⫏≰2100012220=⫏≰-20221212000","layer":2},{"info":"⫏≰21010⊋⫏≰-20221212000=⫏≰-12011102112000","layer":1},{"info":"↩⪖⫏≰1112020=⫏≰-111020210","layer":3},{"info":"⊈⫏≰2220100=⫏≰-10010210","layer":3},{"info":"⫏≰-111020210⪭⫏≰-10010210=⫏≰111000100","layer":2},{"info":"⇖⫷⫕⫏≰11022200=⫏≰10212112","layer":3},{"info":"⫏≰10212112⫍⨯↯=⫏≰10211022","layer":2},{"info":"⫏≰111000100⫰⋱⫏≰10211022=⫏≰-110222010","layer":1},{"info":"⫏≰-12011102112000⩁⩘⫏≰-110222010=⫏≰-1212120100","layer":0}]}
{"id":196,"expression_no_base_symbol":"(⋣(($2606$⩨$1512$)⩎⪣⊞))⇣⩺⋵(⋠∜($3450$⨐$3027$⫒⫫($7702$⪨⊡$1299$)))","expression":"(⋣((⫏≰10120112⩨⫏≰2002000)⩎⪣⊞))⇣⩺⋵(⋠∜(⫏≰11201210⨐⫏≰11011010⫒⫫(⫏≰101120021⪨⊡⫏≰1210010)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":137,"operation_count":8,"complexity_ratio":17.125,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2606,"base":3},"right_expr":{"type":"numeric_atoms","value":1512,"base":3}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3450,"base":3},"right_expr":{"type":"numeric_atoms","value":3027,"base":3}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":7702,"base":3},"right_expr":{"type":"numeric_atoms","value":1299,"base":3}}}}},"used_operators":["F4yD0voBRQ","zQWRhDnn8F","waWucp1uQ4","2DlMacCsIx","ZJpFhNJr3x","6Ko8hGgeMq","Noe24qw2ks","kuIXHzHcAH"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","mp7IySMOzn","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⫏≰-112020122201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2606","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=1512, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=95","layer":1},{"info":"number node, value=3450","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=3027, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6900","layer":3},{"info":"number node, value=7702","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=7702, right_input=1299, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6900, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=34536","layer":2},{"info":"compute unary expreesion, input=34536, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=140428","layer":1},{"info":"compute binary expreesion, left_input=95, right_input=140428, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-280414","layer":0}],"base":3,"result_base":3,"text":"(⋣((⫏≰10120112⩨⫏≰2002000)⩎⪣⊞))⇣⩺⋵(⋠∜(⫏≰11201210⨐⫏≰11011010⫒⫫(⫏≰101120021⪨⊡⫏≰1210010)))=⫏≰-112020122201","reverse_text":"⫏≰-112020122201=(⋣((⫏≰10120112⩨⫏≰2002000)⩎⪣⊞))⇣⩺⋵(⋠∜(⫏≰11201210⨐⫏≰11011010⫒⫫(⫏≰101120021⪨⊡⫏≰1210010)))","cot":[{"info":"⫏≰10120112⩨⫏≰2002000=⫏≰0","layer":3},{"info":"⫏≰0⩎⪣⊞=⫏≰0","layer":2},{"info":"⋣⫏≰0=⫏≰10112","layer":1},{"info":"⫏≰11201210⨐⫏≰11011010=⫏≰-100110120","layer":3},{"info":"⫏≰101120021⪨⊡⫏≰1210010=⫏≰0","layer":3},{"info":"⫏≰-100110120⫒⫫⫏≰0=⫏≰1202101010","layer":2},{"info":"⋠∜⫏≰1202101010=⫏≰21010122001","layer":1},{"info":"⫏≰10112⇣⩺⋵⫏≰21010122001=⫏≰-112020122201","layer":0}]}
{"id":197,"expression_no_base_symbol":"(($1169$∙⊟$2439$)⫉⨲⊜($2290$⫻⋑⊟)⨐⩸⫘(⊥($2952$⪭$4381$)))+⇶⊼($1406$⪟⇏$3725$∳⫺($7056$⩵∡$2684$)/(∓$7507$)⪥$4248$≝⊿$6832$)","expression":"((⫏≰1121022∙⊟⫏≰10100100)⫉⨲⊜(⫏≰10010211⫻⋑⊟)⨐⩸⫘(⊥(⫏≰11001100⪭⫏≰20000021)))+⇶⊼(⫏≰1221002⪟⇏⫏≰12002222∳⫺(⫏≰100200100⩵∡⫏≰10200102)/(∓⫏≰101022001)⪥⫏≰12211100≝⊿⫏≰100101001)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2151,"operation_count":14,"complexity_ratio":153.64285714285714,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1169,"base":3},"right_expr":{"type":"numeric_atoms","value":2439,"base":3}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":2290,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2952,"base":3},"right_expr":{"type":"numeric_atoms","value":4381,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1406,"base":3},"right_expr":{"type":"numeric_atoms","value":3725,"base":3}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":7056,"base":3},"right_expr":{"type":"numeric_atoms","value":2684,"base":3}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":7507,"base":3}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4248,"base":3},"right_expr":{"type":"numeric_atoms","value":6832,"base":3}}}}},"used_operators":["TpPTUOHfaN","fu6greOZ01","WhqkvtTD3t","SxTAKzQCrw","o575Zjdmzy","Q3PJZHRvZv","j9kHMeSvPp","XhwjNDsVaA","AzXXKTstlj","GODebY97qR","Y7wcNGrDQJ","QbnwKVWMIQ","OwUj7dcsQK","OKKcZfAt5B"],"dependent_operators":["AHs5Up7iyr","3ViojmjbAp","eewbuw0ToL","zVYPLywUTj","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","fu6greOZ01","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","glklzrTFfD","tifHPKVTfV","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","12rbrZMWeM"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=2439, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25043","layer":3},{"info":"number node, value=2290","layer":4},{"info":"compute unary expreesion, input=2290, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-4070","layer":3},{"info":"compute binary expreesion, left_input=25043, right_input=-4070, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-4180","layer":2},{"info":"number node, value=2952","layer":4},{"info":"number node, value=4381","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=4381, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-8","layer":2},{"info":"compute binary expreesion, left_input=-4180, right_input=-8, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-5","layer":1},{"info":"number node, value=1406","layer":4},{"info":"number node, value=3725","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=3725, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=7056","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=7056, right_input=2684, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-11549","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-11549, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=7507","layer":4},{"info":"compute unary expreesion, input=7507, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-117477","layer":3},{"info":"number node, value=4248","layer":4},{"info":"number node, value=6832","layer":4},{"info":"compute binary expreesion, left_input=4248, right_input=6832, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-18445","layer":3},{"info":"compute binary expreesion, left_input=-117477, right_input=-18445, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-1798, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-5, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1121022∙⊟⫏≰10100100)⫉⨲⊜(⫏≰10010211⫻⋑⊟)⨐⩸⫘(⊥(⫏≰11001100⪭⫏≰20000021)))+⇶⊼(⫏≰1221002⪟⇏⫏≰12002222∳⫺(⫏≰100200100⩵∡⫏≰10200102)/(∓⫏≰101022001)⪥⫏≰12211100≝⊿⫏≰100101001)=⫏≰0","reverse_text":"⫏≰0=((⫏≰1121022∙⊟⫏≰10100100)⫉⨲⊜(⫏≰10010211⫻⋑⊟)⨐⩸⫘(⊥(⫏≰11001100⪭⫏≰20000021)))+⇶⊼(⫏≰1221002⪟⇏⫏≰12002222∳⫺(⫏≰100200100⩵∡⫏≰10200102)/(∓⫏≰101022001)⪥⫏≰12211100≝⊿⫏≰100101001)","cot":[{"info":"⫏≰1121022∙⊟⫏≰10100100=⫏≰1021100112","layer":3},{"info":"⫏≰10010211⫻⋑⊟=⫏≰-12120202","layer":3},{"info":"⫏≰1021100112⫉⨲⊜⫏≰-12120202=⫏≰-12201211","layer":2},{"info":"⫏≰11001100⪭⫏≰20000021=⫏≰12","layer":3},{"info":"⊥⫏≰12=⫏≰-22","layer":2},{"info":"⫏≰-12201211⨐⩸⫘⫏≰-22=⫏≰-12","layer":1},{"info":"⫏≰1221002⪟⇏⫏≰12002222=⫏≰-1","layer":3},{"info":"⫏≰100200100⩵∡⫏≰10200102=⫏≰-120211202","layer":3},{"info":"⫏≰-1∳⫺⫏≰-120211202=⫏≰-100122","layer":2},{"info":"∓⫏≰101022001=⫏≰-12222011000","layer":3},{"info":"⫏≰12211100≝⊿⫏≰100101001=⫏≰-221022011","layer":3},{"info":"⫏≰-12222011000⪥⫏≰-221022011=⫏≰-2110121","layer":2},{"info":"⫏≰-100122/⫏≰-2110121=⫏≰0","layer":1},{"info":"⫏≰-12+⇶⊼⫏≰0=⫏≰0","layer":0}]}
{"id":198,"expression_no_base_symbol":"⩦⊞(⊥($1188$≃$2391$⊨$2683$⊮⊟↴$3213$))","expression":"⩦⊞(⊥(⫏≰1122000≃⫏≰10021120⊨⫏≰10200101⊮⊟↴⫏≰11102000))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":31398,"operation_count":5,"complexity_ratio":6279.6,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1188,"base":3},"right_expr":{"type":"numeric_atoms","value":2391,"base":3}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2683,"base":3},"right_expr":{"type":"numeric_atoms","value":3213,"base":3}}}}},"used_operators":["u7fv1HBiaC","Q3PJZHRvZv","vg4gO5BX6G","YbVcJGFEVW","QDVgd2eftb"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","fu6greOZ01","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⫏≰-112202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1188","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=2391, 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=-4792","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=3213, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4792, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-171","layer":1},{"info":"compute unary expreesion, input=-171, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-398","layer":0}],"base":3,"result_base":3,"text":"⩦⊞(⊥(⫏≰1122000≃⫏≰10021120⊨⫏≰10200101⊮⊟↴⫏≰11102000))=⫏≰-112202","reverse_text":"⫏≰-112202=⩦⊞(⊥(⫏≰1122000≃⫏≰10021120⊨⫏≰10200101⊮⊟↴⫏≰11102000))","cot":[{"info":"⫏≰1122000≃⫏≰10021120=⫏≰-20120111","layer":3},{"info":"⫏≰10200101⊮⊟↴⫏≰11102000=⫏≰0","layer":3},{"info":"⫏≰-20120111⊨⫏≰0=⫏≰-20110","layer":2},{"info":"⊥⫏≰-20110=⫏≰-20100","layer":1},{"info":"⩦⊞⫏≰-20100=⫏≰-112202","layer":0}]}
{"id":199,"expression_no_base_symbol":"(($6471$↳∿⪆$5442$⨳⩥⨓$2228$⫁$2201$)⫚⫇)⊓⋫","expression":"((⫏≰22212200↳∿⪆⫏≰21110120⨳⩥⨓⫏≰10001112⫁⫏≰10000112)⫚⫇)⊓⋫","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2600,"operation_count":5,"complexity_ratio":520.0,"tree":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6471,"base":3},"right_expr":{"type":"numeric_atoms","value":5442,"base":3}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2228,"base":3},"right_expr":{"type":"numeric_atoms","value":2201,"base":3}}}}},"used_operators":["IqGBaFP0uj","SdCjLnB6rR","nCS4ZIUYfx","Cw4SuJJGHO","0ajvFaJAv0"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=6471","layer":4},{"info":"number node, value=5442","layer":4},{"info":"compute binary expreesion, left_input=6471, right_input=5442, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2228","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=2201, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22212200↳∿⪆⫏≰21110120⨳⩥⨓⫏≰10001112⫁⫏≰10000112)⫚⫇)⊓⋫=NaN","reverse_text":"NaN=((⫏≰22212200↳∿⪆⫏≰21110120⨳⩥⨓⫏≰10001112⫁⫏≰10000112)⫚⫇)⊓⋫","cot":[{"info":"⫏≰22212200↳∿⪆⫏≰21110120=NaN","layer":3},{"info":"⫏≰10001112⫁⫏≰10000112=⫏≰12221","layer":3},{"info":"NaN⨳⩥⨓⫏≰12221=NaN","layer":2},{"info":"NaN⫚⫇=NaN","layer":1},{"info":"NaN⊓⋫=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"((($2415$⪗)⋷($1377$⪁$3846$))⨑≵⋬(⨑⩽⪐$7775$⫥∨⫟$1101$))≒∊(($3057$⊹≧⊝)⇍⊗$2632$∴$1637$≬⋮($2987$⩷∴$2638$)⊋(⊄⩳↩$2596$))","expression":"(((⫏≰10022110⪗)⋷(⫏≰1220000⪁⫏≰12021110))⨑≵⋬(⨑⩽⪐⫏≰101122222⫥∨⫟⫏≰1111210))≒∊((⫏≰11012020⊹≧⊝)⇍⊗⫏≰10121111∴⫏≰2020122≬⋮(⫏≰11002122⩷∴⫏≰10121201)⊋(⊄⩳↩⫏≰10120011))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":138018168,"operation_count":14,"complexity_ratio":9858440.57142857,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2415,"base":3}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1377,"base":3},"right_expr":{"type":"numeric_atoms","value":3846,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7775,"base":3},"right_expr":{"type":"numeric_atoms","value":1101,"base":3}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":3057,"base":3}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2632,"base":3},"right_expr":{"type":"numeric_atoms","value":1637,"base":3}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2987,"base":3},"right_expr":{"type":"numeric_atoms","value":2638,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2596,"base":3}}}}},"used_operators":["5KTvxBwnZo","XnXgA4xnOs","23Mk6UjR3U","VEQNXA0ZBg","I7sXao9hZE","AF7qkfDlqP","KYD54nUTWz","kbkesczE7y","5uvYHDjeKN","LxFB4K6j0n","hrf7POJlIJ","W4tP9CfskL","9FxExcQeMw","8w2t5hMYqp"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2415","layer":4},{"info":"compute unary expreesion, input=2415, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=3846, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=7775","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=7775, right_input=1101, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=3057","layer":4},{"info":"compute unary expreesion, input=3057, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-12228","layer":3},{"info":"number node, value=2632","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=1637, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6912","layer":3},{"info":"compute binary expreesion, left_input=-12228, right_input=6912, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2987","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=2987, right_input=2638, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=666","layer":3},{"info":"number node, value=2596","layer":4},{"info":"compute unary expreesion, input=2596, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7788","layer":3},{"info":"compute binary expreesion, left_input=666, right_input=-7788, 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=-161214","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-161214, 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 = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10022110⪗)⋷(⫏≰1220000⪁⫏≰12021110))⨑≵⋬(⨑⩽⪐⫏≰101122222⫥∨⫟⫏≰1111210))≒∊((⫏≰11012020⊹≧⊝)⇍⊗⫏≰10121111∴⫏≰2020122≬⋮(⫏≰11002122⩷∴⫏≰10121201)⊋(⊄⩳↩⫏≰10120011))=NaN","reverse_text":"NaN=(((⫏≰10022110⪗)⋷(⫏≰1220000⪁⫏≰12021110))⨑≵⋬(⨑⩽⪐⫏≰101122222⫥∨⫟⫏≰1111210))≒∊((⫏≰11012020⊹≧⊝)⇍⊗⫏≰10121111∴⫏≰2020122≬⋮(⫏≰11002122⩷∴⫏≰10121201)⊋(⊄⩳↩⫏≰10120011))","cot":[{"info":"⫏≰10022110⪗=NaN","layer":3},{"info":"⫏≰1220000⪁⫏≰12021110=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"⫏≰101122222⫥∨⫟⫏≰1111210=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"NaN⨑≵⋬NaN=NaN","layer":1},{"info":"⫏≰11012020⊹≧⊝=⫏≰-121202220","layer":3},{"info":"⫏≰10121111∴⫏≰2020122=⫏≰100111000","layer":3},{"info":"⫏≰-121202220⇍⊗⫏≰100111000=⫏≰-100001","layer":2},{"info":"⫏≰11002122⩷∴⫏≰10121201=⫏≰220200","layer":3},{"info":"⊄⩳↩⫏≰10120011=⫏≰-101200110","layer":3},{"info":"⫏≰220200⊋⫏≰-101200110=⫏≰-22012010220","layer":2},{"info":"⫏≰-100001≬⋮⫏≰-22012010220=⫏≰1012011","layer":1},{"info":"NaN≒∊⫏≰1012011=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"(⇁⨣⪵(($1109$⫳≱↱$2544$)↫))∋(⇺⋃(($3944$+⇶⊼$1449$)⇪⋭))","expression":"(⇁⨣⪵((⫏≰1112002⫳≱↱⫏≰10111020)↫))∋(⇺⋃((⫏≰12102002+⇶⊼⫏≰1222200)⇪⋭))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":425,"operation_count":7,"complexity_ratio":60.714285714285715,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":2544,"base":3}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3944,"base":3},"right_expr":{"type":"numeric_atoms","value":1449,"base":3}}}}},"used_operators":["ukq6epAj5P","inkyxCbjAn","uPb5QRN0te","ZvLB05nZmT","E5v5B3UAjG","Z8Yg6dlDSp","TpPTUOHfaN"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","B5M0gjZbta","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1109","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=2544, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3944","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=1449, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵((⫏≰1112002⫳≱↱⫏≰10111020)↫))∋(⇺⋃((⫏≰12102002+⇶⊼⫏≰1222200)⇪⋭))=NaN","reverse_text":"NaN=(⇁⨣⪵((⫏≰1112002⫳≱↱⫏≰10111020)↫))∋(⇺⋃((⫏≰12102002+⇶⊼⫏≰1222200)⇪⋭))","cot":[{"info":"⫏≰1112002⫳≱↱⫏≰10111020=⫏≰-21120","layer":3},{"info":"⫏≰-21120↫=⫏≰12221","layer":2},{"info":"⇁⨣⪵⫏≰12221=NaN","layer":1},{"info":"⫏≰12102002+⇶⊼⫏≰1222200=NaN","layer":3},{"info":"NaN⇪⋭=NaN","layer":2},{"info":"⇺⋃NaN=NaN","layer":1},{"info":"NaN∋NaN=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"↴⪽⋼((∐⩳⋚$2400$)⨽$4068$⪘⫢$2188$)⨫⇇↔($1199$≭$7943$≃($1205$⨐⩸⫘$1698$))","expression":"↴⪽⋼((∐⩳⋚⫏≰10021220)⨽⫏≰12120200⪘⫢⫏≰10000001)⨫⇇↔(⫏≰1122102≭⫏≰101220012≃(⫏≰1122122⨐⩸⫘⫏≰2022220))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":344376,"operation_count":8,"complexity_ratio":43047.0,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2400,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4068,"base":3},"right_expr":{"type":"numeric_atoms","value":2188,"base":3}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1199,"base":3},"right_expr":{"type":"numeric_atoms","value":7943,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1205,"base":3},"right_expr":{"type":"numeric_atoms","value":1698,"base":3}}}}},"used_operators":["5TUYCnJO6w","LXhwmt4mBO","8HhzD0ZcuI","SL6IHkK8vl","oacrs7FA3X","YbVcJGFEVW","rxpJgHHUmx","fu6greOZ01"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","3ViojmjbAp"],"result":"⫏≰1211010202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2400","layer":4},{"info":"compute unary expreesion, input=2400, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=344017","layer":3},{"info":"number node, value=4068","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=4068, right_input=2188, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8012","layer":3},{"info":"compute binary expreesion, left_input=344017, right_input=8012, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=7943","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=7943, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1205","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1698, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":0}],"base":3,"result_base":3,"text":"↴⪽⋼((∐⩳⋚⫏≰10021220)⨽⫏≰12120200⪘⫢⫏≰10000001)⨫⇇↔(⫏≰1122102≭⫏≰101220012≃(⫏≰1122122⨐⩸⫘⫏≰2022220))=⫏≰1211010202","reverse_text":"⫏≰1211010202=↴⪽⋼((∐⩳⋚⫏≰10021220)⨽⫏≰12120200⪘⫢⫏≰10000001)⨫⇇↔(⫏≰1122102≭⫏≰101220012≃(⫏≰1122122⨐⩸⫘⫏≰2022220))","cot":[{"info":"∐⩳⋚⫏≰10021220=⫏≰122110220101","layer":3},{"info":"⫏≰12120200⪘⫢⫏≰10000001=⫏≰101222202","layer":3},{"info":"⫏≰122110220101⨽⫏≰101222202=-Inf","layer":2},{"info":"⫏≰1122102≭⫏≰101220012=NaN","layer":3},{"info":"⫏≰1122122⨐⩸⫘⫏≰2022220=NaN","layer":3},{"info":"NaN≃NaN=NaN","layer":2},{"info":"-Inf⨫⇇↔NaN=⫏≰-201112","layer":1},{"info":"↴⪽⋼⫏≰-201112=⫏≰1211010202","layer":0}]}
{"id":203,"expression_no_base_symbol":"(⋗⩬⋾$7982$⨔⇊$3280$)≳⇉(⇺⋃(⨡↴$3047$))∽($1637$∼$3669$⋾⨃∁(⩩$7679$))≁((≤/$5161$)⫠)","expression":"(⋗⩬⋾⫏≰101221122⨔⇊⫏≰11111111)≳⇉(⇺⋃(⨡↴⫏≰11011212))∽(⫏≰2020122∼⫏≰12000220⋾⨃∁(⩩⫏≰101112102))≁((≤/⫏≰21002011)⫠)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":74338,"operation_count":12,"complexity_ratio":6194.833333333333,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":7982,"base":3},"right_expr":{"type":"numeric_atoms","value":3280,"base":3}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3047,"base":3}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1637,"base":3},"right_expr":{"type":"numeric_atoms","value":3669,"base":3}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":7679,"base":3}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5161,"base":3}}}}},"used_operators":["y4ImoPnbV5","V0kx6qeWkN","DpFCA1CohY","JclMnS0uGI","E5v5B3UAjG","liw5iZPkLH","8N2wDY1A35","212REbPD9h","DyGG3AbaNP","kMhfGuqI2H","6SnOT2rOjz","eLAdDNolq6"],"dependent_operators":["NTOWxs364D","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","P8v4zCKN1o","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7982","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=7982, right_input=3280, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3280","layer":3},{"info":"compute unary expreesion, input=3280, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9840","layer":2},{"info":"number node, value=3047","layer":4},{"info":"compute unary expreesion, input=3047, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4096","layer":3},{"info":"compute unary expreesion, input=4096, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9840, right_input=nan, 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=1637","layer":4},{"info":"number node, value=3669","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=3669, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=7679","layer":4},{"info":"compute unary expreesion, input=7679, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, 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":2},{"info":"number node, value=5161","layer":4},{"info":"compute unary expreesion, input=5161, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4677","layer":3},{"info":"compute unary expreesion, input=-4677, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋗⩬⋾⫏≰101221122⨔⇊⫏≰11111111)≳⇉(⇺⋃(⨡↴⫏≰11011212))∽(⫏≰2020122∼⫏≰12000220⋾⨃∁(⩩⫏≰101112102))≁((≤/⫏≰21002011)⫠)=NaN","reverse_text":"NaN=(⋗⩬⋾⫏≰101221122⨔⇊⫏≰11111111)≳⇉(⇺⋃(⨡↴⫏≰11011212))∽(⫏≰2020122∼⫏≰12000220⋾⨃∁(⩩⫏≰101112102))≁((≤/⫏≰21002011)⫠)","cot":[{"info":"⫏≰101221122⨔⇊⫏≰11111111=⫏≰11111111","layer":3},{"info":"⋗⩬⋾⫏≰11111111=⫏≰-111111110","layer":2},{"info":"⨡↴⫏≰11011212=⫏≰12121201","layer":3},{"info":"⇺⋃⫏≰12121201=NaN","layer":2},{"info":"⫏≰-111111110≳⇉NaN=NaN","layer":1},{"info":"⫏≰2020122∼⫏≰12000220=NaN","layer":3},{"info":"⩩⫏≰101112102=NaN","layer":3},{"info":"NaN⋾⨃∁NaN=NaN","layer":2},{"info":"≤/⫏≰21002011=⫏≰-20102020","layer":3},{"info":"⫏≰-20102020⫠=⫏≰0","layer":2},{"info":"NaN≁⫏≰0=NaN","layer":1},{"info":"NaN∽NaN=NaN","layer":0}]}
{"id":204,"expression_no_base_symbol":"⪸(⨵≀≌(($2764$⫁⪎$1487$)⊴⇁⪶))","expression":"⪸(⨵≀≌((⫏≰10210101⫁⪎⫏≰2001002)⊴⇁⪶))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1472,"operation_count":4,"complexity_ratio":368.0,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2764,"base":3},"right_expr":{"type":"numeric_atoms","value":1487,"base":3}}}}},"used_operators":["86A5ENbKR9","srAu1WTS94","oo9mF6JIpo","xRrnTEsQ6j"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⫏≰1011000120011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2764","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=1487, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1277","layer":3},{"info":"compute unary expreesion, input=1277, 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=20416","layer":2},{"info":"compute unary expreesion, input=20416, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-61248","layer":1},{"info":"compute unary expreesion, input=-61248, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=610582","layer":0}],"base":3,"result_base":3,"text":"⪸(⨵≀≌((⫏≰10210101⫁⪎⫏≰2001002)⊴⇁⪶))=⫏≰1011000120011","reverse_text":"⫏≰1011000120011=⪸(⨵≀≌((⫏≰10210101⫁⪎⫏≰2001002)⊴⇁⪶))","cot":[{"info":"⫏≰10210101⫁⪎⫏≰2001002=⫏≰1202022","layer":3},{"info":"⫏≰1202022⊴⇁⪶=⫏≰1001000011","layer":2},{"info":"⨵≀≌⫏≰1001000011=⫏≰-10010000110","layer":1},{"info":"⪸⫏≰-10010000110=⫏≰1011000120011","layer":0}]}
{"id":205,"expression_no_base_symbol":"($3483$⩣⫁∢$4124$∼($1827$⫡⨏$3831$)⩵∡($1449$⫉⨲⊜$1246$∙∹∝($3908$⨝⩣∺)))⪪(⨈⫕$1953$⫯⪬∳$1414$∛(⇵⪽$3769$))","expression":"(⫏≰11210000⩣⫁∢⫏≰12122202∼(⫏≰2111200⫡⨏⫏≰12020220)⩵∡(⫏≰1222200⫉⨲⊜⫏≰1201011∙∹∝(⫏≰12100202⨝⩣∺)))⪪(⨈⫕⫏≰2200100⫯⪬∳⫏≰1221101∛(⇵⪽⫏≰12011121))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":721,"operation_count":12,"complexity_ratio":60.083333333333336,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3483,"base":3},"right_expr":{"type":"numeric_atoms","value":4124,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1827,"base":3},"right_expr":{"type":"numeric_atoms","value":3831,"base":3}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1449,"base":3},"right_expr":{"type":"numeric_atoms","value":1246,"base":3}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":3908,"base":3}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1953,"base":3},"right_expr":{"type":"numeric_atoms","value":1414,"base":3}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3769,"base":3}}}}},"used_operators":["xD69zh8xqp","Y7wcNGrDQJ","DyGG3AbaNP","JDUIKTTSIa","QMFrweE19q","HmxsFra2vL","WhqkvtTD3t","ancx8kZcWl","megm06wKyl","w2537kitQq","d7ASUq0ydm","ZGCBLdVRRX"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","zVYPLywUTj","DZ8iAZOCBD","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3483","layer":4},{"info":"number node, value=4124","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=4124, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6805","layer":3},{"info":"number node, value=1827","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=3831, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17580","layer":3},{"info":"compute binary expreesion, left_input=-6805, right_input=17580, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1449","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=1246, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3908","layer":4},{"info":"compute unary expreesion, input=3908, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-7816","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7816, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=1953","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=1414, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8384","layer":3},{"info":"number node, value=3769","layer":4},{"info":"compute unary expreesion, input=3769, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8384, 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":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11210000⩣⫁∢⫏≰12122202∼(⫏≰2111200⫡⨏⫏≰12020220)⩵∡(⫏≰1222200⫉⨲⊜⫏≰1201011∙∹∝(⫏≰12100202⨝⩣∺)))⪪(⨈⫕⫏≰2200100⫯⪬∳⫏≰1221101∛(⇵⪽⫏≰12011121))=NaN","reverse_text":"NaN=(⫏≰11210000⩣⫁∢⫏≰12122202∼(⫏≰2111200⫡⨏⫏≰12020220)⩵∡(⫏≰1222200⫉⨲⊜⫏≰1201011∙∹∝(⫏≰12100202⨝⩣∺)))⪪(⨈⫕⫏≰2200100⫯⪬∳⫏≰1221101∛(⇵⪽⫏≰12011121))","cot":[{"info":"⫏≰11210000⩣⫁∢⫏≰12122202=⫏≰-100100001","layer":3},{"info":"⫏≰2111200⫡⨏⫏≰12020220=⫏≰220010010","layer":3},{"info":"⫏≰-100100001∼⫏≰220010010=NaN","layer":2},{"info":"⫏≰1222200⫉⨲⊜⫏≰1201011=⫏≰0","layer":3},{"info":"⫏≰12100202⨝⩣∺=⫏≰-101201111","layer":3},{"info":"⫏≰0∙∹∝⫏≰-101201111=⫏≰0","layer":2},{"info":"NaN⩵∡⫏≰0=NaN","layer":1},{"info":"⫏≰2200100⫯⪬∳⫏≰1221101=⫏≰102111112","layer":3},{"info":"⇵⪽⫏≰12011121=NaN","layer":3},{"info":"⫏≰102111112∛NaN=⫏≰2111","layer":2},{"info":"⨈⫕⫏≰2111=⫏≰-210","layer":1},{"info":"NaN⪪⫏≰-210=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"(($1255$⫒⫫$2111$)≄⊠($3514$≭$4245$))⨐(($2150$⪗)⫃⨇($1031$∷$2919$))∇⊂⋱((∑⇻≧$4848$)⫳≱↱$1709$∌↝$5428$)↢(↞≼($1030$⨫⇇↔$1251$))","expression":"((⫏≰1201111⫒⫫⫏≰2220012)≄⊠(⫏≰11211011≭⫏≰12211020))⨐((⫏≰2221122⪗)⫃⨇(⫏≰1102012∷⫏≰11000010))∇⊂⋱((∑⇻≧⫏≰20122120)⫳≱↱⫏≰2100022∌↝⫏≰21110001)↢(↞≼(⫏≰1102011⨫⇇↔⫏≰1201100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2369,"operation_count":14,"complexity_ratio":169.21428571428572,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1255,"base":3},"right_expr":{"type":"numeric_atoms","value":2111,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3514,"base":3},"right_expr":{"type":"numeric_atoms","value":4245,"base":3}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2150,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1031,"base":3},"right_expr":{"type":"numeric_atoms","value":2919,"base":3}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":4848,"base":3}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1709,"base":3},"right_expr":{"type":"numeric_atoms","value":5428,"base":3}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1030,"base":3},"right_expr":{"type":"numeric_atoms","value":1251,"base":3}}}}},"used_operators":["nhYeJWJD5X","Noe24qw2ks","vXNesLlMH1","6Ko8hGgeMq","rxpJgHHUmx","09Ly4LVMIf","VEQNXA0ZBg","D3AQDKkPcf","WR6HLWljOP","ZvLB05nZmT","l1M9WJ3V7u","9Isq31Ruls","DE7zCoGJt9","LXhwmt4mBO"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","AHs5Up7iyr","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⫏≰1000222201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=2111, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=3514","layer":4},{"info":"number node, value=4245","layer":4},{"info":"compute binary expreesion, left_input=3514, right_input=4245, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=2150","layer":4},{"info":"compute unary expreesion, input=2150, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2919, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2919","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2919, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3000","layer":1},{"info":"number node, value=4848","layer":4},{"info":"compute unary expreesion, input=4848, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=5428","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=5428, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":2},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1251, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-4630","layer":2},{"info":"compute binary expreesion, left_input=-471, right_input=-4630, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-10202","layer":1},{"info":"compute binary expreesion, left_input=-3000, right_input=-10202, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=20404","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1201111⫒⫫⫏≰2220012)≄⊠(⫏≰11211011≭⫏≰12211020))⨐((⫏≰2221122⪗)⫃⨇(⫏≰1102012∷⫏≰11000010))∇⊂⋱((∑⇻≧⫏≰20122120)⫳≱↱⫏≰2100022∌↝⫏≰21110001)↢(↞≼(⫏≰1102011⨫⇇↔⫏≰1201100))=⫏≰1000222201","reverse_text":"⫏≰1000222201=((⫏≰1201111⫒⫫⫏≰2220012)≄⊠(⫏≰11211011≭⫏≰12211020))⨐((⫏≰2221122⪗)⫃⨇(⫏≰1102012∷⫏≰11000010))∇⊂⋱((∑⇻≧⫏≰20122120)⫳≱↱⫏≰2100022∌↝⫏≰21110001)↢(↞≼(⫏≰1102011⨫⇇↔⫏≰1201100))","cot":[{"info":"⫏≰1201111⫒⫫⫏≰2220012=NaN","layer":3},{"info":"⫏≰11211011≭⫏≰12211020=NaN","layer":3},{"info":"NaN≄⊠NaN=⫏≰2001120","layer":2},{"info":"⫏≰2221122⪗=NaN","layer":3},{"info":"⫏≰1102012∷⫏≰11000010=⫏≰11000010","layer":3},{"info":"NaN⫃⨇⫏≰11000010=NaN","layer":2},{"info":"⫏≰2001120⨐NaN=⫏≰-11010010","layer":1},{"info":"∑⇻≧⫏≰20122120=⫏≰-1011120","layer":3},{"info":"⫏≰2100022∌↝⫏≰21110001=⫏≰0","layer":3},{"info":"⫏≰-1011120⫳≱↱⫏≰0=⫏≰-122110","layer":2},{"info":"⫏≰1102011⨫⇇↔⫏≰1201100=⫏≰-201112","layer":3},{"info":"↞≼⫏≰-201112=⫏≰-20100111","layer":2},{"info":"⫏≰-122110↢⫏≰-20100111=⫏≰-111222212","layer":1},{"info":"⫏≰-11010010∇⊂⋱⫏≰-111222212=⫏≰1000222201","layer":0}]}
{"id":207,"expression_no_base_symbol":"(⊗($6891$⩘⨬⇊)⨸(∑⇻≧$1005$))⩘","expression":"(⊗(⫏≰100110020⩘⨬⇊)⨸(∑⇻≧⫏≰1101020))⩘","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4875,"operation_count":5,"complexity_ratio":975.0,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":6891,"base":3}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1005,"base":3}}}}},"used_operators":["wvHyciQT5X","RhiyfpczSx","KmoU8R5UQR","XXmTpEpWTW","l1M9WJ3V7u"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6891","layer":4},{"info":"compute unary expreesion, input=6891, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⊗(⫏≰100110020⩘⨬⇊)⨸(∑⇻≧⫏≰1101020))⩘=⫏≰2111","reverse_text":"⫏≰2111=(⊗(⫏≰100110020⩘⨬⇊)⨸(∑⇻≧⫏≰1101020))⩘","cot":[{"info":"⫏≰100110020⩘⨬⇊=NaN","layer":3},{"info":"∑⇻≧⫏≰1101020=⫏≰-1011120","layer":3},{"info":"NaN⨸⫏≰-1011120=NaN","layer":2},{"info":"⊗NaN=NaN","layer":1},{"info":"NaN⩘=⫏≰2111","layer":0}]}
{"id":208,"expression_no_base_symbol":"((($1447$∝$8350$)⋐⇩⊬)⋳⪒(⨡↴(↪⫪⫘$2575$)))⇡⇂($3776$⩇∃⫛$1049$⇮⋭(⪛⨧$2752$)⪒($2966$⊬⨰$1108$⫩))","expression":"(((⫏≰1222121∝⫏≰102110021)⋐⇩⊬)⋳⪒(⨡↴(↪⫪⫘⫏≰10112101)))⇡⇂(⫏≰12011212⩇∃⫛⫏≰1102212⇮⋭(⪛⨧⫏≰10202221)⪒(⫏≰11001212⊬⨰⫏≰1112001⫩))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6979,"operation_count":12,"complexity_ratio":581.5833333333334,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1447,"base":3},"right_expr":{"type":"numeric_atoms","value":8350,"base":3}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2575,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3776,"base":3},"right_expr":{"type":"numeric_atoms","value":1049,"base":3}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2752,"base":3}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2966,"base":3},"right_expr":{"type":"numeric_atoms","value":1108,"base":3}}}}},"used_operators":["UMwdvZNt44","12rbrZMWeM","JuuLT1NoCs","cTDWOvIxvz","liw5iZPkLH","9dWsAM3GFt","f6k1SAg4EE","vkpjKywKVM","1aApVXNlOP","6NJAcO2OWT","6aG7x05OhS","s3Fd5m9Dh2"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","P8v4zCKN1o","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","dWAJyo7jo9","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1447","layer":4},{"info":"number node, value=8350","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=8350, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1452","layer":3},{"info":"compute unary expreesion, input=1452, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1452","layer":2},{"info":"number node, value=2575","layer":4},{"info":"compute unary expreesion, input=2575, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1069","layer":2},{"info":"compute binary expreesion, left_input=1452, right_input=1069, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1548","layer":1},{"info":"number node, value=3776","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=3776, right_input=1049, 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=-2254","layer":3},{"info":"number node, value=2752","layer":4},{"info":"compute unary expreesion, input=2752, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6905","layer":3},{"info":"compute binary expreesion, left_input=-2254, right_input=6905, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=2966","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=1108, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6342","layer":3},{"info":"compute unary expreesion, input=6342, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1548, 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=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1222121∝⫏≰102110021)⋐⇩⊬)⋳⪒(⨡↴(↪⫪⫘⫏≰10112101)))⇡⇂(⫏≰12011212⩇∃⫛⫏≰1102212⇮⋭(⪛⨧⫏≰10202221)⪒(⫏≰11001212⊬⨰⫏≰1112001⫩))=NaN","reverse_text":"NaN=(((⫏≰1222121∝⫏≰102110021)⋐⇩⊬)⋳⪒(⨡↴(↪⫪⫘⫏≰10112101)))⇡⇂(⫏≰12011212⩇∃⫛⫏≰1102212⇮⋭(⪛⨧⫏≰10202221)⪒(⫏≰11001212⊬⨰⫏≰1112001⫩))","cot":[{"info":"⫏≰1222121∝⫏≰102110021=⫏≰1222210","layer":3},{"info":"⫏≰1222210⋐⇩⊬=⫏≰1222210","layer":2},{"info":"↪⫪⫘⫏≰10112101=⫏≰202","layer":3},{"info":"⨡↴⫏≰202=⫏≰1110121","layer":2},{"info":"⫏≰1222210⋳⪒⫏≰1110121=⫏≰2010100","layer":1},{"info":"⫏≰12011212⩇∃⫛⫏≰1102212=⫏≰-10002111","layer":3},{"info":"⪛⨧⫏≰10202221=⫏≰100110202","layer":3},{"info":"⫏≰-10002111⇮⋭⫏≰100110202=⫏≰2111","layer":2},{"info":"⫏≰11001212⊬⨰⫏≰1112001=⫏≰22200220","layer":3},{"info":"⫏≰22200220⫩=NaN","layer":2},{"info":"⫏≰2111⪒NaN=NaN","layer":1},{"info":"⫏≰2010100⇡⇂NaN=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"(⪝⪂⫅(⪁⇼($7396$⪥$1018$)))≃((⪛⨧$2991$)⫰⋱$5082$∥⊢⊲$2320$)⪭((⩷$4045$)⩒⫫($1095$∷))","expression":"(⪝⪂⫅(⪁⇼(⫏≰101010221⪥⫏≰1101201)))≃((⪛⨧⫏≰11002210)⫰⋱⫏≰20222020∥⊢⊲⫏≰10011221)⪭((⩷⫏≰12112211)⩒⫫(⫏≰1111120∷))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":278,"operation_count":11,"complexity_ratio":25.272727272727273,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":7396,"base":3},"right_expr":{"type":"numeric_atoms","value":1018,"base":3}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2991,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5082,"base":3},"right_expr":{"type":"numeric_atoms","value":2320,"base":3}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4045,"base":3}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1095,"base":3}}}}},"used_operators":["YbVcJGFEVW","XTarYq4gQB","ZNVVrZ94lY","QbnwKVWMIQ","j9kHMeSvPp","6o9Blt3TJ6","6NJAcO2OWT","v1UQAVDJRr","KFSx94NKJn","1h0rLqGiFr","nFAOW8KTqp"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0"],"result":"⫏≰-11110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7396","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=7396, right_input=1018, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=34236","layer":3},{"info":"compute unary expreesion, input=34236, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute unary expreesion, input=422, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-62034","layer":1},{"info":"number node, value=2991","layer":4},{"info":"compute unary expreesion, input=2991, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7383","layer":3},{"info":"number node, value=5082","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=5082, right_input=2320, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7383, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=4045","layer":4},{"info":"compute unary expreesion, input=4045, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-48619","layer":3},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=3285","layer":3},{"info":"compute binary expreesion, left_input=-48619, right_input=3285, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, 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=-62034, right_input=5, 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=-120","layer":0}],"base":3,"result_base":3,"text":"(⪝⪂⫅(⪁⇼(⫏≰101010221⪥⫏≰1101201)))≃((⪛⨧⫏≰11002210)⫰⋱⫏≰20222020∥⊢⊲⫏≰10011221)⪭((⩷⫏≰12112211)⩒⫫(⫏≰1111120∷))=⫏≰-11110","reverse_text":"⫏≰-11110=(⪝⪂⫅(⪁⇼(⫏≰101010221⪥⫏≰1101201)))≃((⪛⨧⫏≰11002210)⫰⋱⫏≰20222020∥⊢⊲⫏≰10011221)⪭((⩷⫏≰12112211)⩒⫫(⫏≰1111120∷))","cot":[{"info":"⫏≰101010221⪥⫏≰1101201=⫏≰1201222000","layer":3},{"info":"⪁⇼⫏≰1201222000=⫏≰120122","layer":2},{"info":"⪝⪂⫅⫏≰120122=⫏≰-10011002120","layer":1},{"info":"⪛⨧⫏≰11002210=⫏≰101010110","layer":3},{"info":"⫏≰20222020∥⊢⊲⫏≰10011221=NaN","layer":3},{"info":"⫏≰101010110⫰⋱NaN=NaN","layer":2},{"info":"⩷⫏≰12112211=⫏≰-2110200201","layer":3},{"info":"⫏≰1111120∷=⫏≰11111200","layer":3},{"info":"⫏≰-2110200201⩒⫫⫏≰11111200=⫏≰12221","layer":2},{"info":"NaN⪭⫏≰12221=⫏≰12","layer":1},{"info":"⫏≰-10011002120≃⫏≰12=⫏≰-11110","layer":0}]}
{"id":210,"expression_no_base_symbol":"($1628$⪨⊡$2033$⩟)↬($5328$⋳⪒$2469$*$1354$∛$3964$)⊢","expression":"(⫏≰2020022⪨⊡⫏≰2210022⩟)↬(⫏≰21022100⋳⪒⫏≰10101110*⫏≰1212011∛⫏≰12102211)⊢","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":804,"operation_count":7,"complexity_ratio":114.85714285714286,"tree":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1628,"base":3},"right_expr":{"type":"numeric_atoms","value":2033,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5328,"base":3},"right_expr":{"type":"numeric_atoms","value":2469,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1354,"base":3},"right_expr":{"type":"numeric_atoms","value":3964,"base":3}}}}},"used_operators":["40aOVDgCDB","B5M0gjZbta","fOIeswaMU4","kuIXHzHcAH","9HNa5Wba9A","12rbrZMWeM","w2537kitQq"],"dependent_operators":["NTOWxs364D","rGHVDoGpnC","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1628","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=2033, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=1227","layer":2},{"info":"number node, value=5328","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=5328, right_input=2469, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7900","layer":3},{"info":"number node, value=1354","layer":4},{"info":"number node, value=3964","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=3964, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=7900, right_input=-670, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-5293000","layer":2},{"info":"compute binary expreesion, left_input=1227, right_input=-5293000, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2020022⪨⊡⫏≰2210022⩟)↬(⫏≰21022100⋳⪒⫏≰10101110*⫏≰1212011∛⫏≰12102211)⊢=NaN","reverse_text":"NaN=(⫏≰2020022⪨⊡⫏≰2210022⩟)↬(⫏≰21022100⋳⪒⫏≰10101110*⫏≰1212011∛⫏≰12102211)⊢","cot":[{"info":"⫏≰2020022⪨⊡⫏≰2210022=⫏≰0","layer":3},{"info":"⫏≰0⩟=⫏≰1200110","layer":2},{"info":"⫏≰21022100⋳⪒⫏≰10101110=⫏≰101211121","layer":3},{"info":"⫏≰1212011∛⫏≰12102211=⫏≰-220211","layer":3},{"info":"⫏≰101211121*⫏≰-220211=⫏≰-100221220122001","layer":2},{"info":"⫏≰1200110↬⫏≰-100221220122001=NaN","layer":1},{"info":"NaN⊢=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"(⩩((⇠$4042$)⪔⊥($4132$⪐)))⨐⩸⫘(∂($4827$⊋≦⊧$1943$)∣($1790$⫃⨇$5765$))","expression":"(⩩((⇠⫏≰12112201)⪔⊥(⫏≰12200001⪐)))⨐⩸⫘(∂(⫏≰20121210⊋≦⊧⫏≰2122222)∣(⫏≰2110022⫃⨇⫏≰21220112))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32936,"operation_count":9,"complexity_ratio":3659.5555555555557,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":4042,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4132,"base":3}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4827,"base":3},"right_expr":{"type":"numeric_atoms","value":1943,"base":3}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1790,"base":3},"right_expr":{"type":"numeric_atoms","value":5765,"base":3}}}}},"used_operators":["fu6greOZ01","kMhfGuqI2H","HJ9erzHUuu","18saOjeKKm","eH2TOUuTDT","Uaa54Peajs","PPChnnnBFF","oRDoc9rAEX","09Ly4LVMIf"],"dependent_operators":["3ViojmjbAp","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4042","layer":4},{"info":"compute unary expreesion, input=4042, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3800","layer":3},{"info":"number node, value=4132","layer":4},{"info":"compute unary expreesion, input=4132, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8264","layer":3},{"info":"compute binary expreesion, left_input=-3800, right_input=8264, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-31927","layer":2},{"info":"compute unary expreesion, input=-31927, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=4827","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=4827, right_input=1943, 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=-3646","layer":3},{"info":"number node, value=1790","layer":4},{"info":"number node, value=5765","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=5765, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-23092","layer":3},{"info":"compute binary expreesion, left_input=-3646, right_input=-23092, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4130","layer":2},{"info":"compute unary expreesion, input=4130, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":3,"result_base":3,"text":"(⩩((⇠⫏≰12112201)⪔⊥(⫏≰12200001⪐)))⨐⩸⫘(∂(⫏≰20121210⊋≦⊧⫏≰2122222)∣(⫏≰2110022⫃⨇⫏≰21220112))=NaN","reverse_text":"NaN=(⩩((⇠⫏≰12112201)⪔⊥(⫏≰12200001⪐)))⨐⩸⫘(∂(⫏≰20121210⊋≦⊧⫏≰2122222)∣(⫏≰2110022⫃⨇⫏≰21220112))","cot":[{"info":"⇠⫏≰12112201=⫏≰-12012202","layer":3},{"info":"⫏≰12200001⪐=⫏≰102100002","layer":3},{"info":"⫏≰-12012202⪔⊥⫏≰102100002=⫏≰-1121210111","layer":2},{"info":"⩩⫏≰-1121210111=NaN","layer":1},{"info":"⫏≰20121210⊋≦⊧⫏≰2122222=⫏≰-12000001","layer":3},{"info":"⫏≰2110022⫃⨇⫏≰21220112=⫏≰-1011200021","layer":3},{"info":"⫏≰-12000001∣⫏≰-1011200021=⫏≰12122222","layer":2},{"info":"∂⫏≰12122222=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"((↓⇌$2789$)≣⋋)⨽$1268$⪇≇⋚$1047$⋳⪒(⪝⪂⫅$4554$)∠⫱($5237$⊕∕$1109$⨘⋶⪀)⇌⫙⪟($3715$+$2928$⪁$1157$⨽$1005$)","expression":"((↓⇌⫏≰10211022)≣⋋)⨽⫏≰1201222⪇≇⋚⫏≰1102210⋳⪒(⪝⪂⫅⫏≰20020200)∠⫱(⫏≰21011222⊕∕⫏≰1112002⨘⋶⪀)⇌⫙⪟(⫏≰12002121+⫏≰11000110⪁⫏≰1120212⨽⫏≰1101020)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4026292,"operation_count":13,"complexity_ratio":309714.76923076925,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2789,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1268,"base":3},"right_expr":{"type":"numeric_atoms","value":1047,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4554,"base":3}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5237,"base":3},"right_expr":{"type":"numeric_atoms","value":1109,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3715,"base":3},"right_expr":{"type":"numeric_atoms","value":2928,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1157,"base":3},"right_expr":{"type":"numeric_atoms","value":1005,"base":3}}}}},"used_operators":["QvoQhV0rrE","8HhzD0ZcuI","Tcnh7f0tEr","PxpmPgHHJV","12rbrZMWeM","3sJ7IOPOlU","XTarYq4gQB","AFVx7xoS7T","XVKwrhznBb","9cloC0Ngie","I7sXao9hZE","W4YGzv6Whe"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9HNa5Wba9A","8w2t5hMYqp","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2789","layer":4},{"info":"compute unary expreesion, input=2789, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2789","layer":3},{"info":"compute unary expreesion, input=2789, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=1268","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1047, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4554","layer":4},{"info":"compute unary expreesion, input=4554, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-669438","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-669438, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=669151","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=669151, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2006139","layer":1},{"info":"number node, value=5237","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=5237, right_input=1109, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5237","layer":3},{"info":"compute unary expreesion, input=5237, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"number node, value=3715","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=2928, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6643","layer":3},{"info":"number node, value=1157","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1005, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4017648","layer":3},{"info":"compute binary expreesion, left_input=6643, right_input=-4017648, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2006139, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↓⇌⫏≰10211022)≣⋋)⨽⫏≰1201222⪇≇⋚⫏≰1102210⋳⪒(⪝⪂⫅⫏≰20020200)∠⫱(⫏≰21011222⊕∕⫏≰1112002⨘⋶⪀)⇌⫙⪟(⫏≰12002121+⫏≰11000110⪁⫏≰1120212⨽⫏≰1101020)=NaN","reverse_text":"NaN=((↓⇌⫏≰10211022)≣⋋)⨽⫏≰1201222⪇≇⋚⫏≰1102210⋳⪒(⪝⪂⫅⫏≰20020200)∠⫱(⫏≰21011222⊕∕⫏≰1112002⨘⋶⪀)⇌⫙⪟(⫏≰12002121+⫏≰11000110⪁⫏≰1120212⨽⫏≰1101020)","cot":[{"info":"↓⇌⫏≰10211022=⫏≰10211022","layer":3},{"info":"⫏≰10211022≣⋋=⫏≰0","layer":2},{"info":"⫏≰1201222⪇≇⋚⫏≰1102210=⫏≰0","layer":3},{"info":"⪝⪂⫅⫏≰20020200=⫏≰-1021000022000","layer":3},{"info":"⫏≰0⋳⪒⫏≰-1021000022000=⫏≰1020222220101","layer":2},{"info":"⫏≰0⨽⫏≰1020222220101=⫏≰-10202220220110","layer":1},{"info":"⫏≰21011222⊕∕⫏≰1112002=⫏≰21011222","layer":3},{"info":"⫏≰21011222⨘⋶⪀=NaN","layer":2},{"info":"⫏≰12002121+⫏≰11000110=⫏≰100010001","layer":3},{"info":"⫏≰1120212⨽⫏≰1101020=⫏≰-21120010011210","layer":3},{"info":"⫏≰100010001⪁⫏≰-21120010011210=NaN","layer":2},{"info":"NaN⇌⫙⪟NaN=NaN","layer":1},{"info":"⫏≰-10202220220110∠⫱NaN=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"(-($4338$⩷∴$3611$)∌↝($1279$⫸⇳$2699$))⫦⪉(⨣⨃⇪($9232$⩍⋽⫝̸$2098$+⇶⊼($1253$≓∲$4403$)))","expression":"(-(⫏≰12221200⩷∴⫏≰11221202)∌↝(⫏≰1202101⫸⇳⫏≰10200222))⫦⪉(⨣⨃⇪(⫏≰110122221⩍⋽⫝̸⫏≰2212201+⇶⊼(⫏≰1201102≓∲⫏≰20001002)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":126,"operation_count":9,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4338,"base":3},"right_expr":{"type":"numeric_atoms","value":3611,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1279,"base":3},"right_expr":{"type":"numeric_atoms","value":2699,"base":3}}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":9232,"base":3},"right_expr":{"type":"numeric_atoms","value":2098,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1253,"base":3},"right_expr":{"type":"numeric_atoms","value":4403,"base":3}}}}},"used_operators":["wscyQdcy20","t8gj7n24qd","9Isq31Ruls","9FxExcQeMw","gx7XJ7hdpj","AcOhelriW5","TpPTUOHfaN","BiWNJpBvwn","s1XTVnmDOJ"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","AHs5Up7iyr","Ph9nP6C5qx","xUOZtlo3hN","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⫏≰20201111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4338","layer":4},{"info":"number node, value=3611","layer":4},{"info":"compute binary expreesion, left_input=4338, right_input=3611, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1422","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=2699, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1422, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":1},{"info":"number node, value=9232","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=9232, right_input=2098, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1152","layer":3},{"info":"number node, value=1253","layer":4},{"info":"number node, value=4403","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=4403, 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=13313","layer":3},{"info":"compute binary expreesion, left_input=1152, right_input=13313, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1405, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":0}],"base":3,"result_base":3,"text":"(-(⫏≰12221200⩷∴⫏≰11221202)∌↝(⫏≰1202101⫸⇳⫏≰10200222))⫦⪉(⨣⨃⇪(⫏≰110122221⩍⋽⫝̸⫏≰2212201+⇶⊼(⫏≰1201102≓∲⫏≰20001002)))=⫏≰20201111","reverse_text":"⫏≰20201111=(-(⫏≰12221200⩷∴⫏≰11221202)∌↝(⫏≰1202101⫸⇳⫏≰10200222))⫦⪉(⨣⨃⇪(⫏≰110122221⩍⋽⫝̸⫏≰2212201+⇶⊼(⫏≰1201102≓∲⫏≰20001002)))","cot":[{"info":"⫏≰12221200⩷∴⫏≰11221202=⫏≰1221200","layer":3},{"info":"⫏≰1202101⫸⇳⫏≰10200222=⫏≰0","layer":3},{"info":"⫏≰1221200∌↝⫏≰0=⫏≰0","layer":2},{"info":"-⫏≰0=⫏≰0","layer":1},{"info":"⫏≰110122221⩍⋽⫝̸⫏≰2212201=⫏≰1120200","layer":3},{"info":"⫏≰1201102≓∲⫏≰20001002=⫏≰200021002","layer":3},{"info":"⫏≰1120200+⇶⊼⫏≰200021002=NaN","layer":2},{"info":"⨣⨃⇪NaN=⫏≰1221001","layer":1},{"info":"⫏≰0⫦⪉⫏≰1221001=⫏≰20201111","layer":0}]}
{"id":214,"expression_no_base_symbol":"(($8162$⇩)⊱⇼⊻($2276$↸$5719$)↛⩡⫤)⪛⫼(∟⋨($2367$≦↸$6728$∠⫱$2194$⪬$6264$))","expression":"((⫏≰102012022⇩)⊱⇼⊻(⫏≰10010022↸⫏≰21211211)↛⩡⫤)⪛⫼(∟⋨(⫏≰10020200≦↸⫏≰100020012∠⫱⫏≰10000021⪬⫏≰22121000))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6859,"operation_count":9,"complexity_ratio":762.1111111111111,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":8162,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2276,"base":3},"right_expr":{"type":"numeric_atoms","value":5719,"base":3}}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2367,"base":3},"right_expr":{"type":"numeric_atoms","value":6728,"base":3}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2194,"base":3},"right_expr":{"type":"numeric_atoms","value":6264,"base":3}}}}},"used_operators":["hyuBjUqXlG","FU0Cs4j7VP","FyVja0WsTP","vRio1gEz1j","1eCjFl0mb9","ctOc4cKSDt","QvoQhV0rrE","RygbFNSyEJ","Ez1Nq5fNfI"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","tmPS8pqC7x","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⫏≰-2020111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8162","layer":4},{"info":"compute unary expreesion, input=8162, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=8255","layer":3},{"info":"number node, value=2276","layer":4},{"info":"number node, value=5719","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=5719, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2276","layer":3},{"info":"compute binary expreesion, left_input=8255, right_input=2276, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"compute unary expreesion, input=434, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-61623","layer":1},{"info":"number node, value=2367","layer":4},{"info":"number node, value=6728","layer":4},{"info":"compute binary expreesion, left_input=2367, right_input=6728, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-17509","layer":3},{"info":"number node, value=2194","layer":4},{"info":"number node, value=6264","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=6264, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-17509, right_input=1234, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-750","layer":1},{"info":"compute binary expreesion, left_input=-61623, right_input=-750, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1633","layer":0}],"base":3,"result_base":3,"text":"((⫏≰102012022⇩)⊱⇼⊻(⫏≰10010022↸⫏≰21211211)↛⩡⫤)⪛⫼(∟⋨(⫏≰10020200≦↸⫏≰100020012∠⫱⫏≰10000021⪬⫏≰22121000))=⫏≰-2020111","reverse_text":"⫏≰-2020111=((⫏≰102012022⇩)⊱⇼⊻(⫏≰10010022↸⫏≰21211211)↛⩡⫤)⪛⫼(∟⋨(⫏≰10020200≦↸⫏≰100020012∠⫱⫏≰10000021⪬⫏≰22121000))","cot":[{"info":"⫏≰102012022⇩=⫏≰102022202","layer":3},{"info":"⫏≰10010022↸⫏≰21211211=⫏≰10010022","layer":3},{"info":"⫏≰102022202⊱⇼⊻⫏≰10010022=⫏≰121002","layer":2},{"info":"⫏≰121002↛⩡⫤=⫏≰-10010112100","layer":1},{"info":"⫏≰10020200≦↸⫏≰100020012=⫏≰-220000111","layer":3},{"info":"⫏≰10000021⪬⫏≰22121000=⫏≰1200201","layer":3},{"info":"⫏≰-220000111∠⫱⫏≰1200201=⫏≰1200201","layer":2},{"info":"∟⋨⫏≰1200201=⫏≰-1000210","layer":1},{"info":"⫏≰-10010112100⪛⫼⫏≰-1000210=⫏≰-2020111","layer":0}]}
{"id":215,"expression_no_base_symbol":"(((⊊≼∋$9041$)≀⩗∶($3104$⨵⪆$3143$))⫻⋑⊟)⨐(⊿($4984$≭$2033$)∀⇚≩$2499$≹⇙⪍$3439$)","expression":"(((⊊≼∋⫏≰110101212)≀⩗∶(⫏≰11020222⨵⪆⫏≰11022102))⫻⋑⊟)⨐(⊿(⫏≰20211121≭⫏≰2210022)∀⇚≩⫏≰10102120≹⇙⪍⫏≰11201101)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9130,"operation_count":9,"complexity_ratio":1014.4444444444445,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":9041,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3104,"base":3},"right_expr":{"type":"numeric_atoms","value":3143,"base":3}}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4984,"base":3},"right_expr":{"type":"numeric_atoms","value":2033,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2499,"base":3},"right_expr":{"type":"numeric_atoms","value":3439,"base":3}}}}},"used_operators":["Noe24qw2ks","o575Zjdmzy","8INZBEW696","FWz7pXsQhA","2DQ55sFlQl","DO4fhlbJSI","LRNGc0VcxI","rxpJgHHUmx","AHs5Up7iyr"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","X99M06cbEe","AHs5Up7iyr","dWAJyo7jo9"],"result":"⫏≰-1100110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9041","layer":4},{"info":"compute unary expreesion, input=9041, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=3104","layer":4},{"info":"number node, value=3143","layer":4},{"info":"compute binary expreesion, left_input=3104, right_input=3143, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=160, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=492","layer":1},{"info":"number node, value=4984","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=4984, right_input=2033, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2499","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=3439, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=492, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-984","layer":0}],"base":3,"result_base":3,"text":"(((⊊≼∋⫏≰110101212)≀⩗∶(⫏≰11020222⨵⪆⫏≰11022102))⫻⋑⊟)⨐(⊿(⫏≰20211121≭⫏≰2210022)∀⇚≩⫏≰10102120≹⇙⪍⫏≰11201101)=⫏≰-1100110","reverse_text":"⫏≰-1100110=(((⊊≼∋⫏≰110101212)≀⩗∶(⫏≰11020222⨵⪆⫏≰11022102))⫻⋑⊟)⨐(⊿(⫏≰20211121≭⫏≰2210022)∀⇚≩⫏≰10102120≹⇙⪍⫏≰11201101)","cot":[{"info":"⊊≼∋⫏≰110101212=⫏≰-121120","layer":3},{"info":"⫏≰11020222⨵⪆⫏≰11022102=⫏≰12221","layer":3},{"info":"⫏≰-121120≀⩗∶⫏≰12221=⫏≰10","layer":2},{"info":"⫏≰10⫻⋑⊟=⫏≰200020","layer":1},{"info":"⫏≰20211121≭⫏≰2210022=NaN","layer":3},{"info":"⫏≰10102120≹⇙⪍⫏≰11201101=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"⫏≰200020⨐NaN=⫏≰-1100110","layer":0}]}
{"id":216,"expression_no_base_symbol":"∓⪦(∨∊⋏($1570$≃⋄))⩖⊿($6623$⪭≯$2898$)⨔⇊($4083$⫒⫫$4165$)","expression":"∓⪦(∨∊⋏(⫏≰2011011≃⋄))⩖⊿(⫏≰100002022⪭≯⫏≰10222100)⨔⇊(⫏≰12121020⫒⫫⫏≰12201021)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":332,"operation_count":7,"complexity_ratio":47.42857142857143,"tree":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1570,"base":3}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":6623,"base":3},"right_expr":{"type":"numeric_atoms","value":2898,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4083,"base":3},"right_expr":{"type":"numeric_atoms","value":4165,"base":3}}}}},"used_operators":["D309nIvmXG","RZ5CV9rWsJ","R5aXW34M0v","aN9a90urxU","JclMnS0uGI","XAx5wpdLa6","6Ko8hGgeMq"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","uFcxV4UQCh","jLgFTUHLKL","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1570","layer":4},{"info":"compute unary expreesion, input=1570, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute unary expreesion, input=764, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=5135","layer":2},{"info":"number node, value=6623","layer":4},{"info":"number node, value=2898","layer":4},{"info":"compute binary expreesion, left_input=6623, right_input=2898, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=4083","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=4083, right_input=4165, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5135, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∓⪦(∨∊⋏(⫏≰2011011≃⋄))⩖⊿(⫏≰100002022⪭≯⫏≰10222100)⨔⇊(⫏≰12121020⫒⫫⫏≰12201021)=NaN","reverse_text":"NaN=∓⪦(∨∊⋏(⫏≰2011011≃⋄))⩖⊿(⫏≰100002022⪭≯⫏≰10222100)⨔⇊(⫏≰12121020⫒⫫⫏≰12201021)","cot":[{"info":"⫏≰2011011≃⋄=⫏≰1001022","layer":3},{"info":"∨∊⋏⫏≰1001022=⫏≰21001012","layer":2},{"info":"⫏≰100002022⪭≯⫏≰10222100=NaN","layer":3},{"info":"⫏≰12121020⫒⫫⫏≰12201021=NaN","layer":3},{"info":"NaN⨔⇊NaN=NaN","layer":2},{"info":"⫏≰21001012⩖⊿NaN=NaN","layer":1},{"info":"∓⪦NaN=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"((∑⇻≧$4855$)∲⫓$1024$⫁$1300$)⪄($3229$∖$1081$)⪚$2250$∥⊢⊲$2069$/($7503$∥⊢⊲$1225$)∥⊢⊲$1576$∳⫺$1722$⨚⇆(($4423$∲⫓$3254$)⇴∐($1170$↑))","expression":"((∑⇻≧⫏≰20122211)∲⫓⫏≰1101221⫁⫏≰1210011)⪄(⫏≰11102121∖⫏≰1111001)⪚⫏≰10002100∥⊢⊲⫏≰2211122/(⫏≰101021220∥⊢⊲⫏≰1200101)∥⊢⊲⫏≰2011101∳⫺⫏≰2100210⨚⇆((⫏≰20001211∲⫓⫏≰11110112)⇴∐(⫏≰1121100↑))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":51724,"operation_count":15,"complexity_ratio":3448.266666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":4855,"base":3}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1024,"base":3},"right_expr":{"type":"numeric_atoms","value":1300,"base":3}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3229,"base":3},"right_expr":{"type":"numeric_atoms","value":1081,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2250,"base":3},"right_expr":{"type":"numeric_atoms","value":2069,"base":3}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":7503,"base":3},"right_expr":{"type":"numeric_atoms","value":1225,"base":3}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1576,"base":3},"right_expr":{"type":"numeric_atoms","value":1722,"base":3}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4423,"base":3},"right_expr":{"type":"numeric_atoms","value":3254,"base":3}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1170,"base":3}}}}},"used_operators":["XhwjNDsVaA","SUmda5xLS4","i8ToyICDmI","l1M9WJ3V7u","0ajvFaJAv0","HrjLwUk87U","tXD093vOjl","v1UQAVDJRr","lwHaAYXP2r","AzXXKTstlj","HnzytWxmAO","BThhyOhh10"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","EBcxylXtPf","rGHVDoGpnC","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4855","layer":4},{"info":"compute unary expreesion, input=4855, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1300, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-852","layer":2},{"info":"number node, value=3229","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=1081, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=2250","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=2069, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=7503","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=7503, right_input=1225, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=1722, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-260","layer":2},{"info":"number node, value=4423","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=4423, right_input=3254, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=222, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-116, 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=3979, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((∑⇻≧⫏≰20122211)∲⫓⫏≰1101221⫁⫏≰1210011)⪄(⫏≰11102121∖⫏≰1111001)⪚⫏≰10002100∥⊢⊲⫏≰2211122/(⫏≰101021220∥⊢⊲⫏≰1200101)∥⊢⊲⫏≰2011101∳⫺⫏≰2100210⨚⇆((⫏≰20001211∲⫓⫏≰11110112)⇴∐(⫏≰1121100↑))=NaN","reverse_text":"NaN=((∑⇻≧⫏≰20122211)∲⫓⫏≰1101221⫁⫏≰1210011)⪄(⫏≰11102121∖⫏≰1111001)⪚⫏≰10002100∥⊢⊲⫏≰2211122/(⫏≰101021220∥⊢⊲⫏≰1200101)∥⊢⊲⫏≰2011101∳⫺⫏≰2100210⨚⇆((⫏≰20001211∲⫓⫏≰11110112)⇴∐(⫏≰1121100↑))","cot":[{"info":"∑⇻≧⫏≰20122211=⫏≰-1011120","layer":3},{"info":"⫏≰1101221⫁⫏≰1210011=⫏≰12221","layer":3},{"info":"⫏≰-1011120∲⫓⫏≰12221=⫏≰-1011120","layer":2},{"info":"⫏≰11102121∖⫏≰1111001=⫏≰0","layer":3},{"info":"⫏≰10002100∥⊢⊲⫏≰2211122=NaN","layer":3},{"info":"⫏≰0⪚NaN=NaN","layer":2},{"info":"⫏≰-1011120⪄NaN=⫏≰12110101","layer":1},{"info":"⫏≰101021220∥⊢⊲⫏≰1200101=NaN","layer":3},{"info":"⫏≰2011101∳⫺⫏≰2100210=⫏≰-100122","layer":3},{"info":"NaN∥⊢⊲⫏≰-100122=⫏≰-100122","layer":2},{"info":"⫏≰20001211∲⫓⫏≰11110112=⫏≰0","layer":3},{"info":"⫏≰1121100↑=⫏≰22020","layer":3},{"info":"⫏≰0⇴∐⫏≰22020=⫏≰-11022","layer":2},{"info":"⫏≰-100122⨚⇆⫏≰-11022=NaN","layer":1},{"info":"⫏≰12110101/NaN=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"(⨈⪑($1057$↸$2229$∪⫐$3275$⨔≚≋$1187$))⨀⨒","expression":"(⨈⪑(⫏≰1110011↸⫏≰10001120∪⫐⫏≰11111022⨔≚≋⫏≰1121222))⨀⨒","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1241,"operation_count":5,"complexity_ratio":248.2,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1057,"base":3},"right_expr":{"type":"numeric_atoms","value":2229,"base":3}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3275,"base":3},"right_expr":{"type":"numeric_atoms","value":1187,"base":3}}}}},"used_operators":["j6NVkjMzuk","mp94q5OcYM","7YooWSwCyH","1eCjFl0mb9","Z57zeUYC9z"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rJVOvQCfKK","2DDjHMKMc0","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⫏≰110012001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2229, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1057","layer":3},{"info":"number node, value=3275","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=1187, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=1057, right_input=9872, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1057","layer":2},{"info":"compute unary expreesion, input=1057, 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 = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=8884","layer":0}],"base":3,"result_base":3,"text":"(⨈⪑(⫏≰1110011↸⫏≰10001120∪⫐⫏≰11111022⨔≚≋⫏≰1121222))⨀⨒=⫏≰110012001","reverse_text":"⫏≰110012001=(⨈⪑(⫏≰1110011↸⫏≰10001120∪⫐⫏≰11111022⨔≚≋⫏≰1121222))⨀⨒","cot":[{"info":"⫏≰1110011↸⫏≰10001120=⫏≰1110011","layer":3},{"info":"⫏≰11111022⨔≚≋⫏≰1121222=⫏≰111112122","layer":3},{"info":"⫏≰1110011∪⫐⫏≰111112122=⫏≰1110011","layer":2},{"info":"⨈⪑⫏≰1110011=⫏≰1012011","layer":1},{"info":"⫏≰1012011⨀⨒=⫏≰110012001","layer":0}]}
{"id":219,"expression_no_base_symbol":"((↓⇌$2381$)⊔($4534$⨭⪣$5183$))⇂≾⫗($2437$≬⇓$6178$∖$5496$⪘⫢$4833$)∇⊂⋱(↘$1061$)≁↽≥($2683$⪢$1831$)∴($1828$⫁⪎$3290$⨑≵⋬$2309$⩍⋽⫝̸$1656$)","expression":"((↓⇌⫏≰10021012)⊔(⫏≰20012221⨭⪣⫏≰21002222))⇂≾⫗(⫏≰10100021≬⇓⫏≰22110211∖⫏≰21112120⪘⫢⫏≰20122000)∇⊂⋱(↘⫏≰1110022)≁↽≥(⫏≰10200101⪢⫏≰2111211)∴(⫏≰2111201⫁⪎⫏≰11111212⨑≵⋬⫏≰10011112⩍⋽⫝̸⫏≰2021100)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":7346,"operation_count":15,"complexity_ratio":489.73333333333335,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2381,"base":3}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4534,"base":3},"right_expr":{"type":"numeric_atoms","value":5183,"base":3}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2437,"base":3},"right_expr":{"type":"numeric_atoms","value":6178,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5496,"base":3},"right_expr":{"type":"numeric_atoms","value":4833,"base":3}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1061,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2683,"base":3},"right_expr":{"type":"numeric_atoms","value":1831,"base":3}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1828,"base":3},"right_expr":{"type":"numeric_atoms","value":3290,"base":3}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2309,"base":3},"right_expr":{"type":"numeric_atoms","value":1656,"base":3}}}}},"used_operators":["nhYeJWJD5X","aBQ6xLxuTc","E4l6HwMY31","PxpmPgHHJV","kn8WO9XteQ","tXD093vOjl","jWTQ2TZYIH","oacrs7FA3X","hrf7POJlIJ","ncHt1X6cMc","LdNpr8hQHL","dWAJyo7jo9","XnXgA4xnOs","xRrnTEsQ6j","BiWNJpBvwn"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","oWn0xqSxBt","3Oe9XWJUTD","uFcxV4UQCh","k8jYdgA6NY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2381","layer":4},{"info":"compute unary expreesion, input=2381, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2381","layer":3},{"info":"number node, value=4534","layer":4},{"info":"number node, value=5183","layer":4},{"info":"compute binary expreesion, left_input=4534, right_input=5183, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3255","layer":3},{"info":"compute binary expreesion, left_input=2381, right_input=3255, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=18637","layer":2},{"info":"number node, value=2437","layer":4},{"info":"number node, value=6178","layer":4},{"info":"compute binary expreesion, left_input=2437, right_input=6178, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=5496","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=4833, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10868","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=10868, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=18637, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=277","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=1831, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=277, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"number node, value=1828","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=3290, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1462","layer":3},{"info":"number node, value=2309","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=1656, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=710","layer":3},{"info":"compute binary expreesion, left_input=-1462, right_input=710, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-10901","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10901, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↓⇌⫏≰10021012)⊔(⫏≰20012221⨭⪣⫏≰21002222))⇂≾⫗(⫏≰10100021≬⇓⫏≰22110211∖⫏≰21112120⪘⫢⫏≰20122000)∇⊂⋱(↘⫏≰1110022)≁↽≥(⫏≰10200101⪢⫏≰2111211)∴(⫏≰2111201⫁⪎⫏≰11111212⨑≵⋬⫏≰10011112⩍⋽⫝̸⫏≰2021100)=NaN","reverse_text":"NaN=((↓⇌⫏≰10021012)⊔(⫏≰20012221⨭⪣⫏≰21002222))⇂≾⫗(⫏≰10100021≬⇓⫏≰22110211∖⫏≰21112120⪘⫢⫏≰20122000)∇⊂⋱(↘⫏≰1110022)≁↽≥(⫏≰10200101⪢⫏≰2111211)∴(⫏≰2111201⫁⪎⫏≰11111212⨑≵⋬⫏≰10011112⩍⋽⫝̸⫏≰2021100)","cot":[{"info":"↓⇌⫏≰10021012=⫏≰10021012","layer":3},{"info":"⫏≰20012221⨭⪣⫏≰21002222=⫏≰11110120","layer":3},{"info":"⫏≰10021012⊔⫏≰11110120=⫏≰221120021","layer":2},{"info":"⫏≰10100021≬⇓⫏≰22110211=⫏≰-211","layer":3},{"info":"⫏≰21112120⪘⫢⫏≰20122000=⫏≰112220112","layer":3},{"info":"⫏≰-211∖⫏≰112220112=⫏≰0","layer":2},{"info":"⫏≰221120021⇂≾⫗⫏≰0=⫏≰-220211","layer":1},{"info":"↘⫏≰1110022=⫏≰101021","layer":3},{"info":"⫏≰10200101⪢⫏≰2111211=NaN","layer":3},{"info":"⫏≰101021≁↽≥NaN=NaN","layer":2},{"info":"⫏≰2111201⫁⪎⫏≰11111212=⫏≰-2000011","layer":3},{"info":"⫏≰10011112⩍⋽⫝̸⫏≰2021100=⫏≰222022","layer":3},{"info":"⫏≰-2000011⨑≵⋬⫏≰222022=⫏≰-112221202","layer":2},{"info":"NaN∴⫏≰-112221202=NaN","layer":1},{"info":"⫏≰-220211∇⊂⋱NaN=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"($9205$⨫⇇↔$1173$∠↢(-$5677$)⊭↱($5122$⊴$6277$⩨($1566$⨸⪁$1246$)))⇯⋐","expression":"(⫏≰110121221⨫⇇↔⫏≰1121110∠↢(-⫏≰21210021)⊭↱(⫏≰21000201⊴⫏≰22121111⩨(⫏≰2011000⨸⪁⫏≰1201011)))⇯⋐","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6346,"operation_count":8,"complexity_ratio":793.25,"tree":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":9205,"base":3},"right_expr":{"type":"numeric_atoms","value":1173,"base":3}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5677,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5122,"base":3},"right_expr":{"type":"numeric_atoms","value":6277,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1566,"base":3},"right_expr":{"type":"numeric_atoms","value":1246,"base":3}}}}},"used_operators":["LkLIoiE525","COABgblf1C","KbjG8mgYpV","LXhwmt4mBO","t8gj7n24qd","2DlMacCsIx","Nsiff2A1zJ","g55IO6H4Gj"],"dependent_operators":["P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9205","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=9205, right_input=1173, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=5677","layer":4},{"info":"compute unary expreesion, input=5677, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5677","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-5677, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=82668","layer":2},{"info":"number node, value=5122","layer":4},{"info":"number node, value=6277","layer":4},{"info":"compute binary expreesion, left_input=5122, right_input=6277, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1566","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1246, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5624","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5624, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=82668, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰110121221⨫⇇↔⫏≰1121110∠↢(-⫏≰21210021)⊭↱(⫏≰21000201⊴⫏≰22121111⩨(⫏≰2011000⨸⪁⫏≰1201011)))⇯⋐=NaN","reverse_text":"NaN=(⫏≰110121221⨫⇇↔⫏≰1121110∠↢(-⫏≰21210021)⊭↱(⫏≰21000201⊴⫏≰22121111⩨(⫏≰2011000⨸⪁⫏≰1201011)))⇯⋐","cot":[{"info":"⫏≰110121221⨫⇇↔⫏≰1121110=⫏≰-201112","layer":3},{"info":"-⫏≰21210021=⫏≰-21210021","layer":3},{"info":"⫏≰-201112∠↢⫏≰-21210021=⫏≰11012101210","layer":2},{"info":"⫏≰21000201⊴⫏≰22121111=NaN","layer":3},{"info":"⫏≰2011000⨸⪁⫏≰1201011=⫏≰21201022","layer":3},{"info":"NaN⩨⫏≰21201022=NaN","layer":2},{"info":"⫏≰11012101210⊭↱NaN=NaN","layer":1},{"info":"NaN⇯⋐=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"(($2726$≀⩗∶$8636$)⋕⪉⪜(∓$2883$))⪟⇏(↓⇌$1774$↞⋁$5678$)⪢((⨆≐≲($3884$⩷∴$1465$))⇆⨓≜)","expression":"((⫏≰10201222≀⩗∶⫏≰102211212)⋕⪉⪜(∓⫏≰10221210))⪟⇏(↓⇌⫏≰2102201↞⋁⫏≰21210022)⪢((⨆≐≲(⫏≰12022212⩷∴⫏≰2000021))⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":543,"operation_count":10,"complexity_ratio":54.3,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2726,"base":3},"right_expr":{"type":"numeric_atoms","value":8636,"base":3}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2883,"base":3}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1774,"base":3},"right_expr":{"type":"numeric_atoms","value":5678,"base":3}}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3884,"base":3},"right_expr":{"type":"numeric_atoms","value":1465,"base":3}}}}},"used_operators":["dWAJyo7jo9","GODebY97qR","z6LnFrNh4i","8INZBEW696","OwUj7dcsQK","PxpmPgHHJV","RqrPlJkxDo","KvvgdUaMHJ","Bi9z9uYZqW","9FxExcQeMw"],"dependent_operators":["k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Uaa54Peajs","KYD54nUTWz","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2726","layer":4},{"info":"number node, value=8636","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=8636, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-9","layer":3},{"info":"number node, value=2883","layer":4},{"info":"compute unary expreesion, input=2883, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-48117","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=-48117, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=1774","layer":4},{"info":"number node, value=5678","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=5678, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=2802, right_input=nan, 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=3884","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=1465, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4806","layer":3},{"info":"compute unary expreesion, input=4806, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=52263384","layer":2},{"info":"compute unary expreesion, input=52263384, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10201222≀⩗∶⫏≰102211212)⋕⪉⪜(∓⫏≰10221210))⪟⇏(↓⇌⫏≰2102201↞⋁⫏≰21210022)⪢((⨆≐≲(⫏≰12022212⩷∴⫏≰2000021))⇆⨓≜)=NaN","reverse_text":"NaN=((⫏≰10201222≀⩗∶⫏≰102211212)⋕⪉⪜(∓⫏≰10221210))⪟⇏(↓⇌⫏≰2102201↞⋁⫏≰21210022)⪢((⨆≐≲(⫏≰12022212⩷∴⫏≰2000021))⇆⨓≜)","cot":[{"info":"⫏≰10201222≀⩗∶⫏≰102211212=⫏≰-100","layer":3},{"info":"∓⫏≰10221210=⫏≰-2110000010","layer":3},{"info":"⫏≰-100⋕⪉⪜⫏≰-2110000010=⫏≰10211210","layer":2},{"info":"⫏≰2102201↞⋁⫏≰21210022=NaN","layer":3},{"info":"↓⇌NaN=NaN","layer":2},{"info":"⫏≰10211210⪟⇏NaN=⫏≰-1","layer":1},{"info":"⫏≰12022212⩷∴⫏≰2000021=⫏≰20121000","layer":3},{"info":"⨆≐≲⫏≰20121000=⫏≰10122100020212220","layer":2},{"info":"⫏≰10122100020212220⇆⨓≜=NaN","layer":1},{"info":"⫏≰-1⪢NaN=NaN","layer":0}]}
{"id":222,"expression_no_base_symbol":"(($5741$≫≃)≃$3837$≚⊃≕$5009$∕⩚($2615$⨑≵⋬$1036$)≦↸$4699$↳≱$2048$)⪍↜⋙(≔(⋼∭⪍$1398$))⪥($4281$⇄$1269$↸$1705$⩁⩘$7944$)","expression":"((⫏≰21212122≫≃)≃⫏≰12021010≚⊃≕⫏≰20212112∕⩚(⫏≰10120212⨑≵⋬⫏≰1102101)≦↸⫏≰20110001↳≱⫏≰2210212)⪍↜⋙(≔(⋼∭⪍⫏≰1220210))⪥(⫏≰12212120⇄⫏≰1202000↸⫏≰2100011⩁⩘⫏≰101220020)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":296,"operation_count":14,"complexity_ratio":21.142857142857142,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5741,"base":3}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3837,"base":3},"right_expr":{"type":"numeric_atoms","value":5009,"base":3}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2615,"base":3},"right_expr":{"type":"numeric_atoms","value":1036,"base":3}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4699,"base":3},"right_expr":{"type":"numeric_atoms","value":2048,"base":3}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1398,"base":3}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4281,"base":3},"right_expr":{"type":"numeric_atoms","value":1269,"base":3}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1705,"base":3},"right_expr":{"type":"numeric_atoms","value":7944,"base":3}}}}},"used_operators":["L05ObWFQCd","z9ffQ9n5Zr","YbVcJGFEVW","X99M06cbEe","Bmrmz2XGnR","RygbFNSyEJ","XnXgA4xnOs","JwTKLfZU96","QbnwKVWMIQ","8FLs4eVsLt","DbCuESL50I","1eCjFl0mb9","3EYGwJThht","gub5Cegaqo"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DpFCA1CohY","IWmyXbctLI"],"result":"⫏≰2120210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5741","layer":4},{"info":"compute unary expreesion, input=5741, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12883","layer":3},{"info":"number node, value=3837","layer":4},{"info":"number node, value=5009","layer":4},{"info":"compute binary expreesion, left_input=3837, right_input=5009, 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":3},{"info":"compute binary expreesion, left_input=12883, right_input=67, 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=-616","layer":2},{"info":"number node, value=2615","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=1036, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=7202","layer":3},{"info":"number node, value=4699","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=2048, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7202, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13723","layer":2},{"info":"compute binary expreesion, left_input=-616, right_input=-13723, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3852","layer":3},{"info":"compute unary expreesion, input=-3852, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=109150","layer":2},{"info":"number node, value=4281","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=4281, right_input=1269, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=7944","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=7944, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=32724","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=32724, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=109150, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=-116, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1884","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21212122≫≃)≃⫏≰12021010≚⊃≕⫏≰20212112∕⩚(⫏≰10120212⨑≵⋬⫏≰1102101)≦↸⫏≰20110001↳≱⫏≰2210212)⪍↜⋙(≔(⋼∭⪍⫏≰1220210))⪥(⫏≰12212120⇄⫏≰1202000↸⫏≰2100011⩁⩘⫏≰101220020)=⫏≰2120210","reverse_text":"⫏≰2120210=((⫏≰21212122≫≃)≃⫏≰12021010≚⊃≕⫏≰20212112∕⩚(⫏≰10120212⨑≵⋬⫏≰1102101)≦↸⫏≰20110001↳≱⫏≰2210212)⪍↜⋙(≔(⋼∭⪍⫏≰1220210))⪥(⫏≰12212120⇄⫏≰1202000↸⫏≰2100011⩁⩘⫏≰101220020)","cot":[{"info":"⫏≰21212122≫≃=⫏≰122200011","layer":3},{"info":"⫏≰12021010≚⊃≕⫏≰20212112=⫏≰2111","layer":3},{"info":"⫏≰122200011≃⫏≰2111=⫏≰-211211","layer":2},{"info":"⫏≰10120212⨑≵⋬⫏≰1102101=⫏≰100212202","layer":3},{"info":"⫏≰20110001↳≱⫏≰2210212=⫏≰0","layer":3},{"info":"⫏≰100212202≦↸⫏≰0=⫏≰-200211021","layer":2},{"info":"⫏≰-211211∕⩚⫏≰-200211021=⫏≰-200001","layer":1},{"info":"⋼∭⪍⫏≰1220210=⫏≰-12021200","layer":3},{"info":"≔⫏≰-12021200=⫏≰12112201121","layer":2},{"info":"⫏≰12212120⇄⫏≰1202000=⫏≰0","layer":3},{"info":"⫏≰2100011⩁⩘⫏≰101220020=⫏≰1122220000","layer":3},{"info":"⫏≰0↸⫏≰1122220000=⫏≰0","layer":2},{"info":"⫏≰12112201121⪥⫏≰0=⫏≰-11022","layer":1},{"info":"⫏≰-200001⪍↜⋙⫏≰-11022=⫏≰2120210","layer":0}]}
{"id":223,"expression_no_base_symbol":"($5731$⪶≀⋏$2122$≥⨤⩑$1123$⇴$2198$)⊔($9336$⨫⇇↔$1150$)∌($2533$⪓⨏)⨔≚≋(∨∊⋏($1543$⨭⪣$1321$))⪢(($5071$⨚⇆$1824$)⨫⇇↔($3919$⫳≱↱$2999$))","expression":"(⫏≰21212021⪶≀⋏⫏≰2220121≥⨤⩑⫏≰1112121⇴⫏≰10000102)⊔(⫏≰110210210⨫⇇↔⫏≰1120121)∌(⫏≰10110211⪓⨏)⨔≚≋(∨∊⋏(⫏≰2010011⨭⪣⫏≰1210221))⪢((⫏≰20221211⨚⇆⫏≰2111120)⨫⇇↔(⫏≰12101011⫳≱↱⫏≰11010002))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":60024,"operation_count":14,"complexity_ratio":4287.428571428572,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5731,"base":3},"right_expr":{"type":"numeric_atoms","value":2122,"base":3}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1123,"base":3},"right_expr":{"type":"numeric_atoms","value":2198,"base":3}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":9336,"base":3},"right_expr":{"type":"numeric_atoms","value":1150,"base":3}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":2533,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1543,"base":3},"right_expr":{"type":"numeric_atoms","value":1321,"base":3}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5071,"base":3},"right_expr":{"type":"numeric_atoms","value":1824,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3919,"base":3},"right_expr":{"type":"numeric_atoms","value":2999,"base":3}}}}},"used_operators":["Z57zeUYC9z","E4l6HwMY31","gJLn6v0xnP","zR4jO40bMj","4JB6nKBMSY","8cLx32lpNA","LXhwmt4mBO","4X9JU4Jbn6","dWAJyo7jo9","R5aXW34M0v","kn8WO9XteQ","lwHaAYXP2r","ZvLB05nZmT"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","k8jYdgA6NY","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5731","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=5731, right_input=2122, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21669","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=2198, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=10748","layer":3},{"info":"compute binary expreesion, left_input=-21669, right_input=10748, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=9336","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=9336, right_input=1150, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2533","layer":4},{"info":"compute unary expreesion, input=2533, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-527, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=2433","layer":1},{"info":"number node, value=1543","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=1321, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=264","layer":3},{"info":"compute unary expreesion, input=264, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=11123","layer":2},{"info":"number node, value=5071","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=5071, right_input=1824, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3919","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=3919, right_input=2999, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=11123, right_input=-527, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2433, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21212021⪶≀⋏⫏≰2220121≥⨤⩑⫏≰1112121⇴⫏≰10000102)⊔(⫏≰110210210⨫⇇↔⫏≰1120121)∌(⫏≰10110211⪓⨏)⨔≚≋(∨∊⋏(⫏≰2010011⨭⪣⫏≰1210221))⪢((⫏≰20221211⨚⇆⫏≰2111120)⨫⇇↔(⫏≰12101011⫳≱↱⫏≰11010002))=NaN","reverse_text":"NaN=(⫏≰21212021⪶≀⋏⫏≰2220121≥⨤⩑⫏≰1112121⇴⫏≰10000102)⊔(⫏≰110210210⨫⇇↔⫏≰1120121)∌(⫏≰10110211⪓⨏)⨔≚≋(∨∊⋏(⫏≰2010011⨭⪣⫏≰1210221))⪢((⫏≰20221211⨚⇆⫏≰2111120)⨫⇇↔(⫏≰12101011⫳≱↱⫏≰11010002))","cot":[{"info":"⫏≰21212021⪶≀⋏⫏≰2220121=⫏≰-1002201120","layer":3},{"info":"⫏≰1112121⇴⫏≰10000102=⫏≰112202002","layer":3},{"info":"⫏≰-1002201120≥⨤⩑⫏≰112202002=⫏≰1200201","layer":2},{"info":"⫏≰110210210⨫⇇↔⫏≰1120121=⫏≰-201112","layer":3},{"info":"⫏≰10110211⪓⨏=NaN","layer":3},{"info":"⫏≰-201112∌NaN=⫏≰-201112","layer":2},{"info":"⫏≰1200201⊔⫏≰-201112=⫏≰10100010","layer":1},{"info":"⫏≰2010011⨭⪣⫏≰1210221=⫏≰100210","layer":3},{"info":"∨∊⋏⫏≰100210=⫏≰120020222","layer":2},{"info":"⫏≰20221211⨚⇆⫏≰2111120=NaN","layer":3},{"info":"⫏≰12101011⫳≱↱⫏≰11010002=⫏≰-21120","layer":3},{"info":"NaN⨫⇇↔⫏≰-21120=⫏≰-201112","layer":2},{"info":"⫏≰120020222⪢⫏≰-201112=NaN","layer":1},{"info":"⫏≰10100010⨔≚≋NaN=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"(($3155$⊝⪿⪼$3029$)⪢($2400$⩇∃⫛$2321$)≀⩗∶($8260$⩱)⪢$1519$⨐$2392$)⩍⋽⫝̸(((↩$5451$)%(⩎⋉$2332$))≋⫹)","expression":"((⫏≰11022212⊝⪿⪼⫏≰11011012)⪢(⫏≰10021220⩇∃⫛⫏≰10011222)≀⩗∶(⫏≰102022221⩱)⪢⫏≰2002021⨐⫏≰10021121)⩍⋽⫝̸(((↩⫏≰21110220)%(⩎⋉⫏≰10012101))≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":103997,"operation_count":12,"complexity_ratio":8666.416666666666,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3155,"base":3},"right_expr":{"type":"numeric_atoms","value":3029,"base":3}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2400,"base":3},"right_expr":{"type":"numeric_atoms","value":2321,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":8260,"base":3}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1519,"base":3},"right_expr":{"type":"numeric_atoms","value":2392,"base":3}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5451,"base":3}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":2332,"base":3}}}}},"used_operators":["BiWNJpBvwn","8INZBEW696","dWAJyo7jo9","3Oe9XWJUTD","1aApVXNlOP","uyq1hVkAcj","Noe24qw2ks","N41Kp7NANJ","k8jYdgA6NY","jLgFTUHLKL","FlXk3pOYe8"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","k8jYdgA6NY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3155","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=3155, right_input=3029, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=44801","layer":3},{"info":"number node, value=2400","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=2400, right_input=2321, 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=394","layer":3},{"info":"compute binary expreesion, left_input=44801, right_input=394, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=8260","layer":4},{"info":"compute unary expreesion, input=8260, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-49810","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=2392, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3038","layer":3},{"info":"compute binary expreesion, left_input=-49810, right_input=-3038, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"number node, value=5451","layer":4},{"info":"compute unary expreesion, input=5451, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-40828","layer":3},{"info":"number node, value=2332","layer":4},{"info":"compute unary expreesion, input=2332, 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":3},{"info":"compute binary expreesion, left_input=-40828, right_input=1650, op_id = k8jYdgA6NY binary_op_definition= 'None', output=422","layer":2},{"info":"compute unary expreesion, input=422, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-844","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-844, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11022212⊝⪿⪼⫏≰11011012)⪢(⫏≰10021220⩇∃⫛⫏≰10011222)≀⩗∶(⫏≰102022221⩱)⪢⫏≰2002021⨐⫏≰10021121)⩍⋽⫝̸(((↩⫏≰21110220)%(⩎⋉⫏≰10012101))≋⫹)=NaN","reverse_text":"NaN=((⫏≰11022212⊝⪿⪼⫏≰11011012)⪢(⫏≰10021220⩇∃⫛⫏≰10011222)≀⩗∶(⫏≰102022221⩱)⪢⫏≰2002021⨐⫏≰10021121)⩍⋽⫝̸(((↩⫏≰21110220)%(⩎⋉⫏≰10012101))≋⫹)","cot":[{"info":"⫏≰11022212⊝⪿⪼⫏≰11011012=⫏≰2021110022","layer":3},{"info":"⫏≰10021220⩇∃⫛⫏≰10011222=⫏≰112121","layer":3},{"info":"⫏≰2021110022⪢⫏≰112121=NaN","layer":2},{"info":"⫏≰102022221⩱=⫏≰-2112022211","layer":3},{"info":"⫏≰2002021⨐⫏≰10021121=⫏≰-11011112","layer":3},{"info":"⫏≰-2112022211⪢⫏≰-11011112=NaN","layer":2},{"info":"NaN≀⩗∶NaN=NaN","layer":1},{"info":"↩⫏≰21110220=⫏≰-2002000011","layer":3},{"info":"⩎⋉⫏≰10012101=⫏≰2021010","layer":3},{"info":"⫏≰-2002000011%⫏≰2021010=⫏≰120122","layer":2},{"info":"⫏≰120122≋⫹=⫏≰-1011021","layer":1},{"info":"NaN⩍⋽⫝̸⫏≰-1011021=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"$4505$⪬$1506$≝⊿(∂$3466$)⨔≚≋($4539$⇴$3679$⋭≵$2643$⨫⇇↔$6343$)⨽(⨰⫟⨤(⇖($2029$∼$7127$)))","expression":"⫏≰20011212⪬⫏≰2001210≝⊿(∂⫏≰11202101)⨔≚≋(⫏≰20020010⇴⫏≰12001021⋭≵⫏≰10121220⨫⇇↔⫏≰22200221)⨽(⨰⫟⨤(⇖(⫏≰2210011∼⫏≰100202222)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1649,"operation_count":11,"complexity_ratio":149.9090909090909,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4505,"base":3},"right_expr":{"type":"numeric_atoms","value":1506,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3466,"base":3}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4539,"base":3},"right_expr":{"type":"numeric_atoms","value":3679,"base":3}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2643,"base":3},"right_expr":{"type":"numeric_atoms","value":6343,"base":3}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2029,"base":3},"right_expr":{"type":"numeric_atoms","value":7127,"base":3}}}}},"used_operators":["8HhzD0ZcuI","Z57zeUYC9z","OKKcZfAt5B","Ez1Nq5fNfI","Uaa54Peajs","jBncVCNhdl","4JB6nKBMSY","LXhwmt4mBO","Tw270M8GLb","tfWHHpNKUN","DyGG3AbaNP"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","12rbrZMWeM","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","sdazOOVcIp","NTOWxs364D","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2DQ55sFlQl","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4505","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=4505, right_input=1506, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=3466","layer":4},{"info":"compute unary expreesion, input=3466, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"number node, value=4539","layer":4},{"info":"number node, value=3679","layer":4},{"info":"compute binary expreesion, left_input=4539, right_input=3679, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=34206","layer":3},{"info":"number node, value=2643","layer":4},{"info":"number node, value=6343","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=6343, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=34206, right_input=-527, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=2029","layer":4},{"info":"number node, value=7127","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=7127, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰20011212⪬⫏≰2001210≝⊿(∂⫏≰11202101)⨔≚≋(⫏≰20020010⇴⫏≰12001021⋭≵⫏≰10121220⨫⇇↔⫏≰22200221)⨽(⨰⫟⨤(⇖(⫏≰2210011∼⫏≰100202222)))=NaN","reverse_text":"NaN=⫏≰20011212⪬⫏≰2001210≝⊿(∂⫏≰11202101)⨔≚≋(⫏≰20020010⇴⫏≰12001021⋭≵⫏≰10121220⨫⇇↔⫏≰22200221)⨽(⨰⫟⨤(⇖(⫏≰2210011∼⫏≰100202222)))","cot":[{"info":"⫏≰20011212⪬⫏≰2001210=⫏≰1200201","layer":3},{"info":"∂⫏≰11202101=NaN","layer":3},{"info":"⫏≰1200201≝⊿NaN=NaN","layer":2},{"info":"⫏≰20020010⇴⫏≰12001021=⫏≰1201220220","layer":3},{"info":"⫏≰10121220⨫⇇↔⫏≰22200221=⫏≰-201112","layer":3},{"info":"⫏≰1201220220⋭≵⫏≰-201112=⫏≰2111","layer":2},{"info":"NaN⨔≚≋⫏≰2111=NaN","layer":1},{"info":"⫏≰2210011∼⫏≰100202222=NaN","layer":3},{"info":"⇖NaN=⫏≰12221","layer":2},{"info":"⨰⫟⨤⫏≰12221=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"(⫯($2709$⩭))⨥⫆(($4034$⫔⩽⩺$1518$)⪍↜⋙($1111$↡⊰⫅$1317$))∥⊢⊲($8014$⪔$2603$⩒⫫(≻⋜$3576$))⨑⩅≇($2319$⪭$1055$⪭≯($4409$↸$2326$))","expression":"(⫯(⫏≰10201100⩭))⨥⫆((⫏≰12112102⫔⩽⩺⫏≰2002020)⪍↜⋙(⫏≰1112011↡⊰⫅⫏≰1210210))∥⊢⊲(⫏≰101222211⪔⫏≰10120102⩒⫫(≻⋜⫏≰11220110))⨑⩅≇(⫏≰10011220⪭⫏≰1110002⪭≯(⫏≰20001022↸⫏≰10012011))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":72489,"operation_count":14,"complexity_ratio":5177.785714285715,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2709,"base":3}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4034,"base":3},"right_expr":{"type":"numeric_atoms","value":1518,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1111,"base":3},"right_expr":{"type":"numeric_atoms","value":1317,"base":3}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":8014,"base":3},"right_expr":{"type":"numeric_atoms","value":2603,"base":3}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3576,"base":3}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2319,"base":3},"right_expr":{"type":"numeric_atoms","value":1055,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4409,"base":3},"right_expr":{"type":"numeric_atoms","value":2326,"base":3}}}}},"used_operators":["v1UQAVDJRr","yXekIHxTD4","H6BK1Evt7c","yIPP7u6H5x","L05ObWFQCd","i9eR4S00cU","VCtxkLNOzz","h92wMvzauj","KFSx94NKJn","GjBEYRfMaF","3tj9sqzovi","XAx5wpdLa6","j9kHMeSvPp","1eCjFl0mb9"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Tw270M8GLb","fu6greOZ01","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","COABgblf1C","xUOZtlo3hN","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⫏≰1021122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2709","layer":4},{"info":"compute unary expreesion, input=2709, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":2},{"info":"number node, value=4034","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=1518, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1317, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2634","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2634, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=8014","layer":4},{"info":"number node, value=2603","layer":4},{"info":"compute binary expreesion, left_input=8014, right_input=2603, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3576","layer":4},{"info":"compute unary expreesion, input=3576, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=2319","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=1055, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=4409","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=4409, right_input=2326, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4409","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=4409, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=935, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=935","layer":0}],"base":3,"result_base":3,"text":"(⫯(⫏≰10201100⩭))⨥⫆((⫏≰12112102⫔⩽⩺⫏≰2002020)⪍↜⋙(⫏≰1112011↡⊰⫅⫏≰1210210))∥⊢⊲(⫏≰101222211⪔⫏≰10120102⩒⫫(≻⋜⫏≰11220110))⨑⩅≇(⫏≰10011220⪭⫏≰1110002⪭≯(⫏≰20001022↸⫏≰10012011))=⫏≰1021122","reverse_text":"⫏≰1021122=(⫯(⫏≰10201100⩭))⨥⫆((⫏≰12112102⫔⩽⩺⫏≰2002020)⪍↜⋙(⫏≰1112011↡⊰⫅⫏≰1210210))∥⊢⊲(⫏≰101222211⪔⫏≰10120102⩒⫫(≻⋜⫏≰11220110))⨑⩅≇(⫏≰10011220⪭⫏≰1110002⪭≯(⫏≰20001022↸⫏≰10012011))","cot":[{"info":"⫏≰10201100⩭=NaN","layer":3},{"info":"⫯NaN=NaN","layer":2},{"info":"⫏≰12112102⫔⩽⩺⫏≰2002020=NaN","layer":3},{"info":"⫏≰1112011↡⊰⫅⫏≰1210210=⫏≰10121120","layer":3},{"info":"NaN⪍↜⋙⫏≰10121120=NaN","layer":2},{"info":"NaN⨥⫆NaN=NaN","layer":1},{"info":"⫏≰101222211⪔⫏≰10120102=⫏≰121200","layer":3},{"info":"≻⋜⫏≰11220110=NaN","layer":3},{"info":"⫏≰121200⩒⫫NaN=NaN","layer":2},{"info":"⫏≰10011220⪭⫏≰1110002=⫏≰12","layer":3},{"info":"⫏≰20001022↸⫏≰10012011=⫏≰20001022","layer":3},{"info":"⫏≰12⪭≯⫏≰20001022=NaN","layer":2},{"info":"NaN⨑⩅≇NaN=⫏≰1021122","layer":1},{"info":"NaN∥⊢⊲⫏≰1021122=⫏≰1021122","layer":0}]}
{"id":227,"expression_no_base_symbol":"⪹(($1746$⫚↹⊑$1138$)⨜⨶(≅≯⇸$2177$)⪣⫩)","expression":"⪹((⫏≰2101200⫚↹⊑⫏≰1120011)⨜⨶(≅≯⇸⫏≰2222122)⪣⫩)","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":60,"operation_count":5,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1746,"base":3},"right_expr":{"type":"numeric_atoms","value":1138,"base":3}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2177,"base":3}}}}},"used_operators":["USyYr0JgAa","iuk5sVOGFA","HiPekx5b7W","dfKe02y8D2","apS25hmuAe"],"dependent_operators":["tifHPKVTfV","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","EBcxylXtPf","QMFrweE19q"],"result":"⫏≰-1000011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1746","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=1138, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2177","layer":4},{"info":"compute unary expreesion, input=2177, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=16385","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=16385, 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=-32514","layer":2},{"info":"compute unary expreesion, input=-32514, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":1},{"info":"compute unary expreesion, input=913, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-733","layer":0}],"base":3,"result_base":3,"text":"⪹((⫏≰2101200⫚↹⊑⫏≰1120011)⨜⨶(≅≯⇸⫏≰2222122)⪣⫩)=⫏≰-1000011","reverse_text":"⫏≰-1000011=⪹((⫏≰2101200⫚↹⊑⫏≰1120011)⨜⨶(≅≯⇸⫏≰2222122)⪣⫩)","cot":[{"info":"⫏≰2101200⫚↹⊑⫏≰1120011=⫏≰-121120","layer":3},{"info":"≅≯⇸⫏≰2222122=⫏≰211110212","layer":3},{"info":"⫏≰-121120⨜⨶⫏≰211110212=⫏≰-1122121020","layer":2},{"info":"⫏≰-1122121020⪣⫩=⫏≰1020211","layer":1},{"info":"⪹⫏≰1020211=⫏≰-1000011","layer":0}]}
{"id":228,"expression_no_base_symbol":"(($6453$⪇≇⋚$4427$⫢⨠($2451$⪣⫩))↼⊘⨖(($3127$⪒$1718$)⫥∨⫟$4598$⩌⋺$1716$))⪚((⪛⨧$1551$)⨥⫆($3246$≒∊$4194$)∌↝($1021$⨜⨶$5174$)⫞⩸⩒(⊢≑≆$1599$))","expression":"((⫏≰22212000⪇≇⋚⫏≰20001222⫢⨠(⫏≰10100210⪣⫩))↼⊘⨖((⫏≰11021211⪒⫏≰2100122)⫥∨⫟⫏≰20022022⩌⋺⫏≰2100120))⪚((⪛⨧⫏≰2010110)⨥⫆(⫏≰11110020≒∊⫏≰12202100)∌↝(⫏≰1101211⨜⨶⫏≰21002122)⫞⩸⩒(⊢≑≆⫏≰2012020))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":339,"operation_count":15,"complexity_ratio":22.6,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6453,"base":3},"right_expr":{"type":"numeric_atoms","value":4427,"base":3}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2451,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3127,"base":3},"right_expr":{"type":"numeric_atoms","value":1718,"base":3}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4598,"base":3},"right_expr":{"type":"numeric_atoms","value":1716,"base":3}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1551,"base":3}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3246,"base":3},"right_expr":{"type":"numeric_atoms","value":4194,"base":3}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":5174,"base":3}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1599,"base":3}}}}},"used_operators":["HrjLwUk87U","bPywburJMS","xlXykHWxX1","3sJ7IOPOlU","iuk5sVOGFA","KYD54nUTWz","f6k1SAg4EE","g7Hmc5v1ko","9Isq31Ruls","yXekIHxTD4","6NJAcO2OWT","5KTvxBwnZo","XGcMNugi78","HiPekx5b7W","27wFxooxGf"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6453","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=6453, right_input=4427, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2451","layer":4},{"info":"compute unary expreesion, input=2451, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=7320","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7320, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=3127","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=1718, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4845","layer":3},{"info":"number node, value=4598","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=4598, right_input=1716, 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=-6435","layer":3},{"info":"compute binary expreesion, left_input=-4845, right_input=-6435, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"number node, value=1551","layer":4},{"info":"compute unary expreesion, input=1551, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4503","layer":3},{"info":"number node, value=3246","layer":4},{"info":"number node, value=4194","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=4194, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2762","layer":3},{"info":"compute binary expreesion, left_input=4503, right_input=-2762, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=1021","layer":4},{"info":"number node, value=5174","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=5174, 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=-10092","layer":3},{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=6848","layer":3},{"info":"compute binary expreesion, left_input=-10092, right_input=6848, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-10092","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-10092, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-2","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22212000⪇≇⋚⫏≰20001222⫢⨠(⫏≰10100210⪣⫩))↼⊘⨖((⫏≰11021211⪒⫏≰2100122)⫥∨⫟⫏≰20022022⩌⋺⫏≰2100120))⪚((⪛⨧⫏≰2010110)⨥⫆(⫏≰11110020≒∊⫏≰12202100)∌↝(⫏≰1101211⨜⨶⫏≰21002122)⫞⩸⩒(⊢≑≆⫏≰2012020))=NaN","reverse_text":"NaN=((⫏≰22212000⪇≇⋚⫏≰20001222⫢⨠(⫏≰10100210⪣⫩))↼⊘⨖((⫏≰11021211⪒⫏≰2100122)⫥∨⫟⫏≰20022022⩌⋺⫏≰2100120))⪚((⪛⨧⫏≰2010110)⨥⫆(⫏≰11110020≒∊⫏≰12202100)∌↝(⫏≰1101211⨜⨶⫏≰21002122)⫞⩸⩒(⊢≑≆⫏≰2012020))","cot":[{"info":"⫏≰22212000⪇≇⋚⫏≰20001222=⫏≰0","layer":3},{"info":"⫏≰10100210⪣⫩=⫏≰101001010","layer":3},{"info":"⫏≰0⫢⨠⫏≰101001010=⫏≰12221","layer":2},{"info":"⫏≰11021211⪒⫏≰2100122=⫏≰-20122110","layer":3},{"info":"⫏≰20022022⩌⋺⫏≰2100120=⫏≰-22211100","layer":3},{"info":"⫏≰-20122110⫥∨⫟⫏≰-22211100=NaN","layer":2},{"info":"⫏≰12221↼⊘⨖NaN=NaN","layer":1},{"info":"⪛⨧⫏≰2010110=⫏≰20011210","layer":3},{"info":"⫏≰11110020≒∊⫏≰12202100=⫏≰-10210022","layer":3},{"info":"⫏≰20011210⨥⫆⫏≰-10210022=⫏≰-1","layer":2},{"info":"⫏≰1101211⨜⨶⫏≰21002122=⫏≰-111211210","layer":3},{"info":"⊢≑≆⫏≰2012020=⫏≰100101122","layer":3},{"info":"⫏≰-111211210⫞⩸⩒⫏≰100101122=⫏≰-111211210","layer":2},{"info":"⫏≰-1∌↝⫏≰-111211210=⫏≰-2","layer":1},{"info":"NaN⪚⫏≰-2=NaN","layer":0}]}
{"id":229,"expression_no_base_symbol":"(($5501$∲⫓$2129$)∇⊂⋱($2094$∝$3873$)⇮⋭$2719$⪭$1349$⨻⩈⩔$5812$⪮%⊝$4111$)⨹","expression":"((⫏≰21112202∲⫓⫏≰2220212)∇⊂⋱(⫏≰2212120∝⫏≰12022110)⇮⋭⫏≰10201201⪭⫏≰1211222⨻⩈⩔⫏≰21222021⪮%⊝⫏≰12122021)⨹","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3376,"operation_count":8,"complexity_ratio":422.0,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5501,"base":3},"right_expr":{"type":"numeric_atoms","value":2129,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2094,"base":3},"right_expr":{"type":"numeric_atoms","value":3873,"base":3}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2719,"base":3},"right_expr":{"type":"numeric_atoms","value":1349,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5812,"base":3},"right_expr":{"type":"numeric_atoms","value":4111,"base":3}}}}},"used_operators":["UnCoSGIALn","vkpjKywKVM","nhYeJWJD5X","i8ToyICDmI","cTDWOvIxvz","nEsXyWgiOK","j9kHMeSvPp","IWmyXbctLI"],"dependent_operators":["mp7IySMOzn","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5501","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=5501, right_input=2129, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2094","layer":4},{"info":"number node, value=3873","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=3873, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2099","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2099, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-4198","layer":2},{"info":"number node, value=2719","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=1349, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=5812","layer":4},{"info":"number node, value=4111","layer":4},{"info":"compute binary expreesion, left_input=5812, right_input=4111, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11940","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=11940, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-4198, right_input=-174, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=134","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21112202∲⫓⫏≰2220212)∇⊂⋱(⫏≰2212120∝⫏≰12022110)⇮⋭⫏≰10201201⪭⫏≰1211222⨻⩈⩔⫏≰21222021⪮%⊝⫏≰12122021)⨹=⫏≰11222","reverse_text":"⫏≰11222=((⫏≰21112202∲⫓⫏≰2220212)∇⊂⋱(⫏≰2212120∝⫏≰12022110)⇮⋭⫏≰10201201⪭⫏≰1211222⨻⩈⩔⫏≰21222021⪮%⊝⫏≰12122021)⨹","cot":[{"info":"⫏≰21112202∲⫓⫏≰2220212=⫏≰0","layer":3},{"info":"⫏≰2212120∝⫏≰12022110=⫏≰2212202","layer":3},{"info":"⫏≰0∇⊂⋱⫏≰2212202=⫏≰-12202111","layer":2},{"info":"⫏≰10201201⪭⫏≰1211222=⫏≰12","layer":3},{"info":"⫏≰21222021⪮%⊝⫏≰12122021=⫏≰121101020","layer":3},{"info":"⫏≰12⨻⩈⩔⫏≰121101020=⫏≰-20110","layer":2},{"info":"⫏≰-12202111⇮⋭⫏≰-20110=⫏≰2111","layer":1},{"info":"⫏≰2111⨹=⫏≰11222","layer":0}]}
{"id":230,"expression_no_base_symbol":"(((⫓⪴$3439$)⇮⋭$2242$⩷∴$1133$)⩣⫁∢(($5567$⩍⋽⫝̸$3534$)⊉↱≁$2923$⨿$5698$))⨜⨶(⊿($2299$⫚↹⊑$1665$))⫁(($1736$∠↢$5045$)⇽⩪)","expression":"(((⫓⪴⫏≰11201101)⇮⋭⫏≰10002001⩷∴⫏≰1112222)⩣⫁∢((⫏≰21122012⩍⋽⫝̸⫏≰11211220)⊉↱≁⫏≰11000021⨿⫏≰21211001))⨜⨶(⊿(⫏≰10011011⫚↹⊑⫏≰2021200))⫁((⫏≰2101022∠↢⫏≰20220212)⇽⩪)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3952,"operation_count":13,"complexity_ratio":304.0,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3439,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2242,"base":3},"right_expr":{"type":"numeric_atoms","value":1133,"base":3}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5567,"base":3},"right_expr":{"type":"numeric_atoms","value":3534,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2923,"base":3},"right_expr":{"type":"numeric_atoms","value":5698,"base":3}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2299,"base":3},"right_expr":{"type":"numeric_atoms","value":1665,"base":3}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1736,"base":3},"right_expr":{"type":"numeric_atoms","value":5045,"base":3}}}}},"used_operators":["HiPekx5b7W","JDUIKTTSIa","vkpjKywKVM","eLxqMNBOBk","9FxExcQeMw","w2P8NbNXyL","BiWNJpBvwn","abYXlopdE0","0ajvFaJAv0","DO4fhlbJSI","dfKe02y8D2","FonBHBYJbU","KbjG8mgYpV"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9HNa5Wba9A","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Ph9nP6C5qx","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⫏≰1100002120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3439","layer":4},{"info":"compute unary expreesion, input=3439, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11826721","layer":3},{"info":"number node, value=2242","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=2242, right_input=1133, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2186","layer":3},{"info":"compute binary expreesion, left_input=11826721, right_input=2186, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"number node, value=5567","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=5567, right_input=3534, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2588","layer":3},{"info":"number node, value=2923","layer":4},{"info":"number node, value=5698","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=5698, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=2588, right_input=-319, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=27742","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=27742, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=2457","layer":1},{"info":"number node, value=2299","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=1665, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=3174","layer":2},{"info":"number node, value=1736","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=5045, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-76492","layer":3},{"info":"compute unary expreesion, input=-76492, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=152474","layer":2},{"info":"compute binary expreesion, left_input=3174, right_input=152474, 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=2457, right_input=160, 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=26313","layer":0}],"base":3,"result_base":3,"text":"(((⫓⪴⫏≰11201101)⇮⋭⫏≰10002001⩷∴⫏≰1112222)⩣⫁∢((⫏≰21122012⩍⋽⫝̸⫏≰11211220)⊉↱≁⫏≰11000021⨿⫏≰21211001))⨜⨶(⊿(⫏≰10011011⫚↹⊑⫏≰2021200))⫁((⫏≰2101022∠↢⫏≰20220212)⇽⩪)=⫏≰1100002120","reverse_text":"⫏≰1100002120=(((⫓⪴⫏≰11201101)⇮⋭⫏≰10002001⩷∴⫏≰1112222)⩣⫁∢((⫏≰21122012⩍⋽⫝̸⫏≰11211220)⊉↱≁⫏≰11000021⨿⫏≰21211001))⨜⨶(⊿(⫏≰10011011⫚↹⊑⫏≰2021200))⫁((⫏≰2101022∠↢⫏≰20220212)⇽⩪)","cot":[{"info":"⫓⪴⫏≰11201101=⫏≰211020212012201","layer":3},{"info":"⫏≰10002001⩷∴⫏≰1112222=⫏≰2222222","layer":3},{"info":"⫏≰211020212012201⇮⋭⫏≰2222222=⫏≰-122112","layer":2},{"info":"⫏≰21122012⩍⋽⫝̸⫏≰11211220=⫏≰10112212","layer":3},{"info":"⫏≰11000021⨿⫏≰21211001=⫏≰-102211","layer":3},{"info":"⫏≰10112212⊉↱≁⫏≰-102211=⫏≰1102001111","layer":2},{"info":"⫏≰-122112⩣⫁∢⫏≰1102001111=⫏≰10101000","layer":1},{"info":"⫏≰10011011⫚↹⊑⫏≰2021200=⫏≰-121120","layer":3},{"info":"⊿⫏≰-121120=⫏≰11100120","layer":2},{"info":"⫏≰2101022∠↢⫏≰20220212=⫏≰-10212221001","layer":3},{"info":"⫏≰-10212221001⇽⩪=⫏≰21202011012","layer":2},{"info":"⫏≰11100120⫁⫏≰21202011012=⫏≰12221","layer":1},{"info":"⫏≰10101000⨜⨶⫏≰12221=⫏≰1100002120","layer":0}]}
{"id":231,"expression_no_base_symbol":"⇋⊎⋝(((⊥$2159$)⋅⇍$1166$⨐⩸⫘$1962$)⨼⩣($1340$⩘$1330$)⨼⩣($3792$⪍↜⋙$2799$))","expression":"⇋⊎⋝(((⊥⫏≰2221222)⋅⇍⫏≰1121012⨐⩸⫘⫏≰2200200)⨼⩣(⫏≰1211122⩘⫏≰1211021)⨼⩣(⫏≰12012110⪍↜⋙⫏≰10211200))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":824,"operation_count":8,"complexity_ratio":103.0,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2159,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1166,"base":3},"right_expr":{"type":"numeric_atoms","value":1962,"base":3}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1340,"base":3},"right_expr":{"type":"numeric_atoms","value":1330,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3792,"base":3},"right_expr":{"type":"numeric_atoms","value":2799,"base":3}}}}},"used_operators":["CzM2PEoXns","JxwMv5le6e","AdZkA7nFnk","Q3PJZHRvZv","fu6greOZ01","cHh1gJQ2o6","L05ObWFQCd"],"dependent_operators":["dWAJyo7jo9","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","fu6greOZ01","3ViojmjbAp","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2159","layer":4},{"info":"compute unary expreesion, input=2159, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1962, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=1330, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3792","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=3792, right_input=2799, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1986","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1986, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇋⊎⋝(((⊥⫏≰2221222)⋅⇍⫏≰1121012⨐⩸⫘⫏≰2200200)⨼⩣(⫏≰1211122⩘⫏≰1211021)⨼⩣(⫏≰12012110⪍↜⋙⫏≰10211200))=NaN","reverse_text":"NaN=⇋⊎⋝(((⊥⫏≰2221222)⋅⇍⫏≰1121012⨐⩸⫘⫏≰2200200)⨼⩣(⫏≰1211122⩘⫏≰1211021)⨼⩣(⫏≰12012110⪍↜⋙⫏≰10211200))","cot":[{"info":"⊥⫏≰2221222=NaN","layer":3},{"info":"⫏≰1121012⨐⩸⫘⫏≰2200200=NaN","layer":3},{"info":"NaN⋅⇍NaN=NaN","layer":2},{"info":"⫏≰1211122⩘⫏≰1211021=⫏≰12221","layer":3},{"info":"⫏≰12012110⪍↜⋙⫏≰10211200=⫏≰2201120","layer":3},{"info":"⫏≰12221⨼⩣⫏≰2201120=NaN","layer":2},{"info":"NaN⨼⩣NaN=NaN","layer":1},{"info":"⇋⊎⋝NaN=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"(($1960$≓∲$1299$)⫯⪬∳($1654$⨰$5587$)⪨⊡$7478$⨸$7806$⊔$3705$↼⊘⨖$4997$)⪒⊣⊆(($1806$∵≐)∷$1001$⪘⫢$5334$)⫁(($2024$⨫⇇↔$2976$)∘($6528$⇴∐$1338$))","expression":"((⫏≰2200121≓∲⫏≰1210010)⫯⪬∳(⫏≰2021021⨰⫏≰21122221)⪨⊡⫏≰101020222⨸⫏≰101201010⊔⫏≰12002020↼⊘⨖⫏≰20212002)⪒⊣⊆((⫏≰2110220∵≐)∷⫏≰1101002⪘⫢⫏≰21022120)⫁((⫏≰2202222⨫⇇↔⫏≰11002020)∘(⫏≰22221210⇴∐⫏≰1211120))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11003,"operation_count":15,"complexity_ratio":733.5333333333333,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1960,"base":3},"right_expr":{"type":"numeric_atoms","value":1299,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1654,"base":3},"right_expr":{"type":"numeric_atoms","value":5587,"base":3}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":7478,"base":3},"right_expr":{"type":"numeric_atoms","value":7806,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3705,"base":3},"right_expr":{"type":"numeric_atoms","value":4997,"base":3}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":1806,"base":3}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1001,"base":3},"right_expr":{"type":"numeric_atoms","value":5334,"base":3}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2024,"base":3},"right_expr":{"type":"numeric_atoms","value":2976,"base":3}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":6528,"base":3},"right_expr":{"type":"numeric_atoms","value":1338,"base":3}}}}},"used_operators":["eRqsBgTDFp","kuIXHzHcAH","d7ASUq0ydm","s1XTVnmDOJ","eewbuw0ToL","E4l6HwMY31","KmoU8R5UQR","bPywburJMS","0ajvFaJAv0","D3AQDKkPcf","59igzFyhWz","oacrs7FA3X","Z5m6OM72h2","LXhwmt4mBO","HnzytWxmAO"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eH2TOUuTDT","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⫏≰120122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1960","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=1299, 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=20383","layer":3},{"info":"number node, value=1654","layer":4},{"info":"number node, value=5587","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=5587, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3923","layer":3},{"info":"compute binary expreesion, left_input=20383, right_input=-3923, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=61216","layer":2},{"info":"number node, value=7478","layer":4},{"info":"number node, value=7806","layer":4},{"info":"compute binary expreesion, left_input=7478, right_input=7806, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=14956","layer":3},{"info":"number node, value=3705","layer":4},{"info":"number node, value=4997","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=4997, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9772","layer":3},{"info":"compute binary expreesion, left_input=14956, right_input=9772, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=76372","layer":2},{"info":"compute binary expreesion, left_input=61216, right_input=76372, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=1806","layer":4},{"info":"compute unary expreesion, input=1806, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=860","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=5334","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=5334, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1878","layer":3},{"info":"compute binary expreesion, left_input=860, right_input=1878, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1878","layer":2},{"info":"number node, value=2024","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=2976, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=6528","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=6528, right_input=1338, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-1054","layer":2},{"info":"compute binary expreesion, left_input=1878, right_input=-1054, 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=0, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=422","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2200121≓∲⫏≰1210010)⫯⪬∳(⫏≰2021021⨰⫏≰21122221)⪨⊡⫏≰101020222⨸⫏≰101201010⊔⫏≰12002020↼⊘⨖⫏≰20212002)⪒⊣⊆((⫏≰2110220∵≐)∷⫏≰1101002⪘⫢⫏≰21022120)⫁((⫏≰2202222⨫⇇↔⫏≰11002020)∘(⫏≰22221210⇴∐⫏≰1211120))=⫏≰120122","reverse_text":"⫏≰120122=((⫏≰2200121≓∲⫏≰1210010)⫯⪬∳(⫏≰2021021⨰⫏≰21122221)⪨⊡⫏≰101020222⨸⫏≰101201010⊔⫏≰12002020↼⊘⨖⫏≰20212002)⪒⊣⊆((⫏≰2110220∵≐)∷⫏≰1101002⪘⫢⫏≰21022120)⫁((⫏≰2202222⨫⇇↔⫏≰11002020)∘(⫏≰22221210⇴∐⫏≰1211120))","cot":[{"info":"⫏≰2200121≓∲⫏≰1210010=⫏≰1000221221","layer":3},{"info":"⫏≰2021021⨰⫏≰21122221=⫏≰-12101022","layer":3},{"info":"⫏≰1000221221⫯⪬∳⫏≰-12101022=⫏≰10002222021","layer":2},{"info":"⫏≰101020222⨸⫏≰101201010=⫏≰202111221","layer":3},{"info":"⫏≰12002020↼⊘⨖⫏≰20212002=⫏≰111101221","layer":3},{"info":"⫏≰202111221⊔⫏≰111101221=⫏≰10212202121","layer":2},{"info":"⫏≰10002222021⪨⊡⫏≰10212202121=⫏≰0","layer":1},{"info":"⫏≰2110220∵≐=⫏≰1011212","layer":3},{"info":"⫏≰1101002⪘⫢⫏≰21022120=⫏≰2120120","layer":3},{"info":"⫏≰1011212∷⫏≰2120120=⫏≰2120120","layer":2},{"info":"⫏≰2202222⨫⇇↔⫏≰11002020=⫏≰-201112","layer":3},{"info":"⫏≰22221210⇴∐⫏≰1211120=NaN","layer":3},{"info":"⫏≰-201112∘NaN=⫏≰-1110001","layer":2},{"info":"⫏≰2120120⫁⫏≰-1110001=⫏≰12221","layer":1},{"info":"⫏≰0⪒⊣⊆⫏≰12221=⫏≰120122","layer":0}]}
{"id":233,"expression_no_base_symbol":"($8054$≎⪠$1740$⪄$2439$↤⩊$1723$⋻⩜⩜$1487$⇂≾⫗$6184$⪉⨛$2395$↳∿⪆$3504$)⩤","expression":"(⫏≰102001022≎⪠⫏≰2101110⪄⫏≰10100100↤⩊⫏≰2100211⋻⩜⩜⫏≰2001002⇂≾⫗⫏≰22111001⪉⨛⫏≰10021201↳∿⪆⫏≰11210210)⩤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21890,"operation_count":8,"complexity_ratio":2736.25,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":8054,"base":3},"right_expr":{"type":"numeric_atoms","value":1740,"base":3}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2439,"base":3},"right_expr":{"type":"numeric_atoms","value":1723,"base":3}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1487,"base":3},"right_expr":{"type":"numeric_atoms","value":6184,"base":3}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2395,"base":3},"right_expr":{"type":"numeric_atoms","value":3504,"base":3}}}}},"used_operators":["Z2TMIBDE3Q","oDCm7WA9JY","SUmda5xLS4","aNhz54LH3e","13rbtpv6ld","EWw2JM7wp4","aBQ6xLxuTc","Cw4SuJJGHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=8054","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=8054, right_input=1740, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2439","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=1723, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=1487","layer":4},{"info":"number node, value=6184","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=6184, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2395","layer":4},{"info":"number node, value=3504","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=3504, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰102001022≎⪠⫏≰2101110⪄⫏≰10100100↤⩊⫏≰2100211⋻⩜⩜⫏≰2001002⇂≾⫗⫏≰22111001⪉⨛⫏≰10021201↳∿⪆⫏≰11210210)⩤=NaN","reverse_text":"NaN=(⫏≰102001022≎⪠⫏≰2101110⪄⫏≰10100100↤⩊⫏≰2100211⋻⩜⩜⫏≰2001002⇂≾⫗⫏≰22111001⪉⨛⫏≰10021201↳∿⪆⫏≰11210210)⩤","cot":[{"info":"⫏≰102001022≎⪠⫏≰2101110=⫏≰222211101","layer":3},{"info":"⫏≰10100100↤⩊⫏≰2100211=NaN","layer":3},{"info":"⫏≰222211101⪄NaN=NaN","layer":2},{"info":"⫏≰2001002⇂≾⫗⫏≰22111001=⫏≰-221001","layer":3},{"info":"⫏≰10021201↳∿⪆⫏≰11210210=NaN","layer":3},{"info":"⫏≰-221001⪉⨛NaN=NaN","layer":2},{"info":"NaN⋻⩜⩜NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"((⪲⇎$5256$)⪮%⊝$2398$⇻⋧≁$1208$)⪟⇏(($3163$⪒$2316$)↢($1584$∘$1529$))⊋≦⊧(($5016$⩘$2023$)⋥⋵⩄($2377$∀⇚≩$7315$)⪭≯((⨩∲⋌$5004$)∽$4506$≹⇙⪍$5462$))","expression":"((⪲⇎⫏≰21012200)⪮%⊝⫏≰10021211⇻⋧≁⫏≰1122202)⪟⇏((⫏≰11100011⪒⫏≰10011210)↢(⫏≰2011200∘⫏≰2002122))⊋≦⊧((⫏≰20212210⩘⫏≰2202221)⋥⋵⩄(⫏≰10021001∀⇚≩⫏≰101000221)⪭≯((⨩∲⋌⫏≰20212100)∽⫏≰20011220≹⇙⪍⫏≰21111022))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":19466,"operation_count":15,"complexity_ratio":1297.7333333333333,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5256,"base":3}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2398,"base":3},"right_expr":{"type":"numeric_atoms","value":1208,"base":3}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3163,"base":3},"right_expr":{"type":"numeric_atoms","value":2316,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1584,"base":3},"right_expr":{"type":"numeric_atoms","value":1529,"base":3}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5016,"base":3},"right_expr":{"type":"numeric_atoms","value":2023,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2377,"base":3},"right_expr":{"type":"numeric_atoms","value":7315,"base":3}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":5004,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4506,"base":3},"right_expr":{"type":"numeric_atoms","value":5462,"base":3}}}}},"used_operators":["oRDoc9rAEX","GODebY97qR","IWmyXbctLI","XPYlsWDdGa","jCPkEVoL5K","WR6HLWljOP","f6k1SAg4EE","Z5m6OM72h2","XAx5wpdLa6","7t3wd0Fuz7","cHh1gJQ2o6","LRNGc0VcxI","y4ImoPnbV5","aSik1wnThz","AHs5Up7iyr"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","X99M06cbEe","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","dWAJyo7jo9"],"result":"⫏≰21010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5256","layer":4},{"info":"compute unary expreesion, input=5256, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10512","layer":3},{"info":"number node, value=2398","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=2398, right_input=1208, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=10512, right_input=-447, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=21340","layer":2},{"info":"number node, value=3163","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=3163, right_input=2316, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5479","layer":3},{"info":"number node, value=1584","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=1529, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3168","layer":3},{"info":"compute binary expreesion, left_input=-5479, right_input=3168, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-4622","layer":2},{"info":"compute binary expreesion, left_input=21340, right_input=-4622, 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=5016","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=5016, right_input=2023, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2377","layer":4},{"info":"number node, value=7315","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=7315, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=5004","layer":4},{"info":"compute unary expreesion, input=5004, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5527","layer":3},{"info":"number node, value=4506","layer":4},{"info":"number node, value=5462","layer":4},{"info":"compute binary expreesion, left_input=4506, right_input=5462, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5527, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, 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=192","layer":0}],"base":3,"result_base":3,"text":"((⪲⇎⫏≰21012200)⪮%⊝⫏≰10021211⇻⋧≁⫏≰1122202)⪟⇏((⫏≰11100011⪒⫏≰10011210)↢(⫏≰2011200∘⫏≰2002122))⊋≦⊧((⫏≰20212210⩘⫏≰2202221)⋥⋵⩄(⫏≰10021001∀⇚≩⫏≰101000221)⪭≯((⨩∲⋌⫏≰20212100)∽⫏≰20011220≹⇙⪍⫏≰21111022))=⫏≰21010","reverse_text":"⫏≰21010=((⪲⇎⫏≰21012200)⪮%⊝⫏≰10021211⇻⋧≁⫏≰1122202)⪟⇏((⫏≰11100011⪒⫏≰10011210)↢(⫏≰2011200∘⫏≰2002122))⊋≦⊧((⫏≰20212210⩘⫏≰2202221)⋥⋵⩄(⫏≰10021001∀⇚≩⫏≰101000221)⪭≯((⨩∲⋌⫏≰20212100)∽⫏≰20011220≹⇙⪍⫏≰21111022))","cot":[{"info":"⪲⇎⫏≰21012200=⫏≰112102100","layer":3},{"info":"⫏≰10021211⇻⋧≁⫏≰1122202=⫏≰-121120","layer":3},{"info":"⫏≰112102100⪮%⊝⫏≰-121120=⫏≰1002021101","layer":2},{"info":"⫏≰11100011⪒⫏≰10011210=⫏≰-21111221","layer":3},{"info":"⫏≰2011200∘⫏≰2002122=⫏≰11100100","layer":3},{"info":"⫏≰-21111221↢⫏≰11100100=⫏≰-20100012","layer":2},{"info":"⫏≰1002021101⪟⇏⫏≰-20100012=⫏≰-1","layer":1},{"info":"⫏≰20212210⩘⫏≰2202221=⫏≰12221","layer":3},{"info":"⫏≰10021001∀⇚≩⫏≰101000221=NaN","layer":3},{"info":"⫏≰12221⋥⋵⩄NaN=NaN","layer":2},{"info":"⨩∲⋌⫏≰20212100=⫏≰-21120201","layer":3},{"info":"⫏≰20011220≹⇙⪍⫏≰21111022=NaN","layer":3},{"info":"⫏≰-21120201∽NaN=NaN","layer":2},{"info":"NaN⪭≯NaN=NaN","layer":1},{"info":"⫏≰-1⊋≦⊧NaN=⫏≰21010","layer":0}]}
{"id":235,"expression_no_base_symbol":"($1196$∙∹∝$5604$)⫁($6934$⫡⨏$4879$)∛(($3091$∠⫱$2999$)⋓($3810$⊧↖))⨔≚≋(($5411$↤⩊$1379$)⋹)⫲≸⪮(≑⋹(⨑⩽⪐$1295$))","expression":"(⫏≰1122022∙∹∝⫏≰21200120)⫁(⫏≰100111211⫡⨏⫏≰20200201)∛((⫏≰11020111∠⫱⫏≰11010002)⋓(⫏≰12020010⊧↖))⨔≚≋((⫏≰21102102↤⩊⫏≰1220002)⋹)⫲≸⪮(≑⋹(⨑⩽⪐⫏≰1202222))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5599,"operation_count":13,"complexity_ratio":430.6923076923077,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1196,"base":3},"right_expr":{"type":"numeric_atoms","value":5604,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6934,"base":3},"right_expr":{"type":"numeric_atoms","value":4879,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3091,"base":3},"right_expr":{"type":"numeric_atoms","value":2999,"base":3}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3810,"base":3}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5411,"base":3},"right_expr":{"type":"numeric_atoms","value":1379,"base":3}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1295,"base":3}}}}},"used_operators":["Z57zeUYC9z","w2537kitQq","0ajvFaJAv0","HmxsFra2vL","QMFrweE19q","T2fj7uvVaJ","QvoQhV0rrE","EKiFHuOFxO","P3lXMJvFrc","opAxDRczMr","13rbtpv6ld","6B9nyZLogK","AF7qkfDlqP"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","cHh1gJQ2o6","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1196","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=5604, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=6934","layer":4},{"info":"number node, value=4879","layer":4},{"info":"compute binary expreesion, left_input=6934, right_input=4879, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=45211","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=45211, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=3091","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=2999, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3810","layer":4},{"info":"compute unary expreesion, input=3810, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=87116588","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=87116588, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, 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":1},{"info":"number node, value=5411","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=5411, right_input=1379, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1022","layer":3},{"info":"compute unary expreesion, input=-1022, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-766, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1122022∙∹∝⫏≰21200120)⫁(⫏≰100111211⫡⨏⫏≰20200201)∛((⫏≰11020111∠⫱⫏≰11010002)⋓(⫏≰12020010⊧↖))⨔≚≋((⫏≰21102102↤⩊⫏≰1220002)⋹)⫲≸⪮(≑⋹(⨑⩽⪐⫏≰1202222))=NaN","reverse_text":"NaN=(⫏≰1122022∙∹∝⫏≰21200120)⫁(⫏≰100111211⫡⨏⫏≰20200201)∛((⫏≰11020111∠⫱⫏≰11010002)⋓(⫏≰12020010⊧↖))⨔≚≋((⫏≰21102102↤⩊⫏≰1220002)⋹)⫲≸⪮(≑⋹(⨑⩽⪐⫏≰1202222))","cot":[{"info":"⫏≰1122022∙∹∝⫏≰21200120=⫏≰0","layer":3},{"info":"⫏≰100111211⫡⨏⫏≰20200201=⫏≰2022000111","layer":3},{"info":"⫏≰0⫁⫏≰2022000111=⫏≰12221","layer":2},{"info":"⫏≰11020111∠⫱⫏≰11010002=⫏≰1200201","layer":3},{"info":"⫏≰12020010⊧↖=⫏≰20001220222111022","layer":3},{"info":"⫏≰1200201⋓⫏≰20001220222111022=⫏≰0","layer":2},{"info":"⫏≰12221∛⫏≰0=⫏≰2111","layer":1},{"info":"⫏≰21102102↤⩊⫏≰1220002=NaN","layer":3},{"info":"NaN⋹=NaN","layer":2},{"info":"⨑⩽⪐⫏≰1202222=⫏≰-1101212","layer":3},{"info":"≑⋹⫏≰-1101212=⫏≰-1001101","layer":2},{"info":"NaN⫲≸⪮⫏≰-1001101=NaN","layer":1},{"info":"⫏≰2111⨔≚≋NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"(($3010$⊨$4333$)⫉⨲⊜(≦∁$5475$)⊔(⩩$6001$)↞⋁($2097$⨓$2406$))⋥⋵⩄(⪛⨧(⨈⪑$3022$⨥⫆$5465$))","expression":"((⫏≰11010111⊨⫏≰12221111)⫉⨲⊜(≦∁⫏≰21111210)⊔(⩩⫏≰22020021)↞⋁(⫏≰2212200⨓⫏≰10022010))⋥⋵⩄(⪛⨧(⨈⪑⫏≰11010221⨥⫆⫏≰21111102))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9539,"operation_count":11,"complexity_ratio":867.1818181818181,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3010,"base":3},"right_expr":{"type":"numeric_atoms","value":4333,"base":3}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5475,"base":3}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":6001,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2097,"base":3},"right_expr":{"type":"numeric_atoms","value":2406,"base":3}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3022,"base":3},"right_expr":{"type":"numeric_atoms","value":5465,"base":3}}}}},"used_operators":["7t3wd0Fuz7","E4l6HwMY31","WhqkvtTD3t","vg4gO5BX6G","9ICcGScMcE","RqrPlJkxDo","kMhfGuqI2H","3ViojmjbAp","6NJAcO2OWT","mp94q5OcYM","yXekIHxTD4"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3010","layer":4},{"info":"number node, value=4333","layer":4},{"info":"compute binary expreesion, left_input=3010, right_input=4333, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=13071","layer":3},{"info":"number node, value=5475","layer":4},{"info":"compute unary expreesion, input=5475, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5475","layer":3},{"info":"compute binary expreesion, left_input=13071, right_input=5475, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=6001","layer":4},{"info":"compute unary expreesion, input=6001, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=2097","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=2406, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2409","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2409, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"number node, value=3022","layer":4},{"info":"number node, value=5465","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=5465, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10806","layer":3},{"info":"compute unary expreesion, input=10806, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3137, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11010111⊨⫏≰12221111)⫉⨲⊜(≦∁⫏≰21111210)⊔(⩩⫏≰22020021)↞⋁(⫏≰2212200⨓⫏≰10022010))⋥⋵⩄(⪛⨧(⨈⪑⫏≰11010221⨥⫆⫏≰21111102))=NaN","reverse_text":"NaN=((⫏≰11010111⊨⫏≰12221111)⫉⨲⊜(≦∁⫏≰21111210)⊔(⩩⫏≰22020021)↞⋁(⫏≰2212200⨓⫏≰10022010))⋥⋵⩄(⪛⨧(⨈⪑⫏≰11010221⨥⫆⫏≰21111102))","cot":[{"info":"⫏≰11010111⊨⫏≰12221111=⫏≰122221010","layer":3},{"info":"≦∁⫏≰21111210=⫏≰21111210","layer":3},{"info":"⫏≰122221010⫉⨲⊜⫏≰21111210=⫏≰0","layer":2},{"info":"⩩⫏≰22020021=NaN","layer":3},{"info":"⫏≰2212200⨓⫏≰10022010=⫏≰-10022020","layer":3},{"info":"NaN↞⋁⫏≰-10022020=NaN","layer":2},{"info":"⫏≰0⊔NaN=NaN","layer":1},{"info":"⫏≰11010221⨥⫆⫏≰21111102=⫏≰112211020","layer":3},{"info":"⨈⪑⫏≰112211020=⫏≰1012011","layer":2},{"info":"⪛⨧⫏≰1012011=⫏≰11022012","layer":1},{"info":"NaN⋥⋵⩄⫏≰11022012=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"⪲⇎($2299$↢$1222$↱$4720$⋅⇍$2173$)⊱⇼⊻($4408$⪟⇏$3323$⨲)","expression":"⪲⇎(⫏≰10011011↢⫏≰1200021↱⫏≰20110211⋅⇍⫏≰2222111)⊱⇼⊻(⫏≰20001021⪟⇏⫏≰11120002⨲)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5499,"operation_count":7,"complexity_ratio":785.5714285714286,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2299,"base":3},"right_expr":{"type":"numeric_atoms","value":1222,"base":3}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4720,"base":3},"right_expr":{"type":"numeric_atoms","value":2173,"base":3}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4408,"base":3},"right_expr":{"type":"numeric_atoms","value":3323,"base":3}}}}},"used_operators":["XPYlsWDdGa","FyVja0WsTP","SR5kFfdi6N","WR6HLWljOP","AdZkA7nFnk","nLYMGWM7L8","GODebY97qR"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⫏≰1012011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2299","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=1222, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1815","layer":3},{"info":"number node, value=4720","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=2173, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1815, right_input=-22, 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=15758","layer":2},{"info":"number node, value=4408","layer":4},{"info":"number node, value=3323","layer":4},{"info":"compute binary expreesion, left_input=4408, right_input=3323, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4782493","layer":2},{"info":"compute binary expreesion, left_input=15758, right_input=4782493, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=868","layer":0}],"base":3,"result_base":3,"text":"⪲⇎(⫏≰10011011↢⫏≰1200021↱⫏≰20110211⋅⇍⫏≰2222111)⊱⇼⊻(⫏≰20001021⪟⇏⫏≰11120002⨲)=⫏≰1012011","reverse_text":"⫏≰1012011=⪲⇎(⫏≰10011011↢⫏≰1200021↱⫏≰20110211⋅⇍⫏≰2222111)⊱⇼⊻(⫏≰20001021⪟⇏⫏≰11120002⨲)","cot":[{"info":"⫏≰10011011↢⫏≰1200021=⫏≰2111020","layer":3},{"info":"⫏≰20110211⋅⇍⫏≰2222111=⫏≰-211","layer":3},{"info":"⫏≰2111020↱⫏≰-211=⫏≰210121122","layer":2},{"info":"⫏≰20001021⪟⇏⫏≰11120002=⫏≰-1","layer":3},{"info":"⫏≰-1⨲=⫏≰22222222100101","layer":2},{"info":"⫏≰210121122⊱⇼⊻⫏≰22222222100101=⫏≰121002","layer":1},{"info":"⪲⇎⫏≰121002=⫏≰1012011","layer":0}]}
{"id":238,"expression_no_base_symbol":"⫯(($1208$⨿$1592$)⊀⩕)⨂≜(⫡⇟⇯$2045$⋹⋡⊁$1189$)","expression":"⫯((⫏≰1122202⨿⫏≰2011222)⊀⩕)⨂≜(⫡⇟⇯⫏≰2210202⋹⋡⊁⫏≰1122001)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":63911,"operation_count":6,"complexity_ratio":10651.833333333334,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1208,"base":3},"right_expr":{"type":"numeric_atoms","value":1592,"base":3}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2045,"base":3},"right_expr":{"type":"numeric_atoms","value":1189,"base":3}}}}},"used_operators":["H6BK1Evt7c","k1SHOSEABc","r0FS3hW4cC","abYXlopdE0","qWUSsah53b","As8RqfVLgs"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rGHVDoGpnC","nhYeJWJD5X","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DZ8iAZOCBD","P8v4zCKN1o","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1208","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1592, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"number node, value=2045","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=1189, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1939","layer":3},{"info":"compute unary expreesion, input=1939, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4746","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4746, 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 = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫯((⫏≰1122202⨿⫏≰2011222)⊀⩕)⨂≜(⫡⇟⇯⫏≰2210202⋹⋡⊁⫏≰1122001)=NaN","reverse_text":"NaN=⫯((⫏≰1122202⨿⫏≰2011222)⊀⩕)⨂≜(⫡⇟⇯⫏≰2210202⋹⋡⊁⫏≰1122001)","cot":[{"info":"⫏≰1122202⨿⫏≰2011222=⫏≰-102211","layer":3},{"info":"⫏≰-102211⊀⩕=⫏≰0","layer":2},{"info":"⫏≰2210202⋹⋡⊁⫏≰1122001=⫏≰2122211","layer":3},{"info":"⫡⇟⇯⫏≰2122211=⫏≰20111210","layer":2},{"info":"⫏≰0⨂≜⫏≰20111210=NaN","layer":1},{"info":"⫯NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(($1591$⩘$2965$)⊱⇼⊻$1481$≌$1379$)⨿((⇠$1058$)⪡($3108$⪕$3474$))∣(($3448$⇄$1654$∕⩚$2230$⊉≛↸$4631$)⫌⩹⨱)","expression":"((⫏≰2011221⩘⫏≰11001211)⊱⇼⊻⫏≰2000212≌⫏≰1220002)⨿((⇠⫏≰1110012)⪡(⫏≰11021010⪕⫏≰11202200))∣((⫏≰11201201⇄⫏≰2021021∕⩚⫏≰10001121⊉≛↸⫏≰20100112)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3382,"operation_count":12,"complexity_ratio":281.8333333333333,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1591,"base":3},"right_expr":{"type":"numeric_atoms","value":2965,"base":3}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1481,"base":3},"right_expr":{"type":"numeric_atoms","value":1379,"base":3}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1058,"base":3}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3108,"base":3},"right_expr":{"type":"numeric_atoms","value":3474,"base":3}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3448,"base":3},"right_expr":{"type":"numeric_atoms","value":1654,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2230,"base":3},"right_expr":{"type":"numeric_atoms","value":4631,"base":3}}}}},"used_operators":["PPChnnnBFF","abYXlopdE0","FyVja0WsTP","cHh1gJQ2o6","lyWz822IDG","oraRL2iQuh","18saOjeKKm","umQnsF7QlU","EBcxylXtPf","z9ffQ9n5Zr","3EYGwJThht","DZ8iAZOCBD"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1591","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=2965, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1379, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-436","layer":2},{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-816","layer":3},{"info":"number node, value=3108","layer":4},{"info":"number node, value=3474","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=3474, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3643","layer":3},{"info":"compute binary expreesion, left_input=-816, right_input=3643, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2600","layer":2},{"info":"compute binary expreesion, left_input=-436, right_input=2600, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=3448","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=3448, right_input=1654, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=4631","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=4631, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4460","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4460, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2011221⩘⫏≰11001211)⊱⇼⊻⫏≰2000212≌⫏≰1220002)⨿((⇠⫏≰1110012)⪡(⫏≰11021010⪕⫏≰11202200))∣((⫏≰11201201⇄⫏≰2021021∕⩚⫏≰10001121⊉≛↸⫏≰20100112)⫌⩹⨱)=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰2011221⩘⫏≰11001211)⊱⇼⊻⫏≰2000212≌⫏≰1220002)⨿((⇠⫏≰1110012)⪡(⫏≰11021010⪕⫏≰11202200))∣((⫏≰11201201⇄⫏≰2021021∕⩚⫏≰10001121⊉≛↸⫏≰20100112)⫌⩹⨱)","cot":[{"info":"⫏≰2011221⩘⫏≰11001211=⫏≰12221","layer":3},{"info":"⫏≰2000212≌⫏≰1220002=NaN","layer":3},{"info":"⫏≰12221⊱⇼⊻NaN=⫏≰-121011","layer":2},{"info":"⇠⫏≰1110012=⫏≰-1010020","layer":3},{"info":"⫏≰11021010⪕⫏≰11202200=⫏≰11222221","layer":3},{"info":"⫏≰-1010020⪡⫏≰11222221=⫏≰10120022","layer":2},{"info":"⫏≰-121011⨿⫏≰10120022=⫏≰2111","layer":1},{"info":"⫏≰11201201⇄⫏≰2021021=⫏≰0","layer":3},{"info":"⫏≰10001121⊉≛↸⫏≰20100112=⫏≰20010012","layer":3},{"info":"⫏≰0∕⩚⫏≰20010012=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⫏≰2111∣NaN=⫏≰2111","layer":0}]}
{"id":240,"expression_no_base_symbol":"($4203$⨼⩣$2723$≧⫂∧($1170$⫚↹⊑$1801$)⨸⪁(⊗($4868$↼⊘⨖$6246$)))⇄($1598$⪢$3070$⇽⩪)↳∿⪆($1692$⇻⋧≁$8224$⪇≇⋚(⨰⫟⨤$2504$))","expression":"(⫏≰12202200⨼⩣⫏≰10201212≧⫂∧(⫏≰1121100⫚↹⊑⫏≰2110201)⨸⪁(⊗(⫏≰20200022↼⊘⨖⫏≰22120100)))⇄(⫏≰2012012⪢⫏≰11012201⇽⩪)↳∿⪆(⫏≰2022200⇻⋧≁⫏≰102021121⪇≇⋚(⨰⫟⨤⫏≰10102202))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16774,"operation_count":13,"complexity_ratio":1290.3076923076924,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4203,"base":3},"right_expr":{"type":"numeric_atoms","value":2723,"base":3}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1170,"base":3},"right_expr":{"type":"numeric_atoms","value":1801,"base":3}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4868,"base":3},"right_expr":{"type":"numeric_atoms","value":6246,"base":3}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1598,"base":3},"right_expr":{"type":"numeric_atoms","value":3070,"base":3}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1692,"base":3},"right_expr":{"type":"numeric_atoms","value":8224,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2504,"base":3}}}}},"used_operators":["3EYGwJThht","g55IO6H4Gj","Ph9nP6C5qx","JxwMv5le6e","dfKe02y8D2","RhiyfpczSx","bPywburJMS","Cw4SuJJGHO","FonBHBYJbU","dWAJyo7jo9","3sJ7IOPOlU","jCPkEVoL5K","Tw270M8GLb"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4203","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=4203, right_input=2723, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1170","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=1801, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=4868","layer":4},{"info":"number node, value=6246","layer":4},{"info":"compute binary expreesion, left_input=4868, right_input=6246, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12270","layer":3},{"info":"compute unary expreesion, input=12270, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-24540","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24540, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1598","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=3070, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":2},{"info":"number node, value=1692","layer":4},{"info":"number node, value=8224","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=8224, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2504","layer":4},{"info":"compute unary expreesion, input=2504, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12202200⨼⩣⫏≰10201212≧⫂∧(⫏≰1121100⫚↹⊑⫏≰2110201)⨸⪁(⊗(⫏≰20200022↼⊘⨖⫏≰22120100)))⇄(⫏≰2012012⪢⫏≰11012201⇽⩪)↳∿⪆(⫏≰2022200⇻⋧≁⫏≰102021121⪇≇⋚(⨰⫟⨤⫏≰10102202))=NaN","reverse_text":"NaN=(⫏≰12202200⨼⩣⫏≰10201212≧⫂∧(⫏≰1121100⫚↹⊑⫏≰2110201)⨸⪁(⊗(⫏≰20200022↼⊘⨖⫏≰22120100)))⇄(⫏≰2012012⪢⫏≰11012201⇽⩪)↳∿⪆(⫏≰2022200⇻⋧≁⫏≰102021121⪇≇⋚(⨰⫟⨤⫏≰10102202))","cot":[{"info":"⫏≰12202200⨼⩣⫏≰10201212=NaN","layer":3},{"info":"⫏≰1121100⫚↹⊑⫏≰2110201=⫏≰-121120","layer":3},{"info":"NaN≧⫂∧⫏≰-121120=NaN","layer":2},{"info":"⫏≰20200022↼⊘⨖⫏≰22120100=⫏≰121211110","layer":3},{"info":"⊗⫏≰121211110=⫏≰-1020122220","layer":2},{"info":"NaN⨸⪁⫏≰-1020122220=NaN","layer":1},{"info":"⫏≰2012012⪢⫏≰11012201=NaN","layer":3},{"info":"NaN⇽⩪=NaN","layer":2},{"info":"⫏≰2022200⇻⋧≁⫏≰102021121=⫏≰-121120","layer":3},{"info":"⨰⫟⨤⫏≰10102202=NaN","layer":3},{"info":"⫏≰-121120⪇≇⋚NaN=NaN","layer":2},{"info":"NaN↳∿⪆NaN=NaN","layer":1},{"info":"NaN⇄NaN=NaN","layer":0}]}
{"id":241,"expression_no_base_symbol":"($2906$≬⋮$4084$)⨐($1394$⊲⩕⊾$1510$)⪨⊡(≤/$2565$⪎↠$1584$)≬⇓(≘($2301$⪮%⊝$4200$⨫⇇↔(∨∊⋏$6572$)))","expression":"(⫏≰10222122≬⋮⫏≰12121021)⨐(⫏≰1220122⊲⩕⊾⫏≰2001221)⪨⊡(≤/⫏≰10112000⪎↠⫏≰2011200)≬⇓(≘(⫏≰10011020⪮%⊝⫏≰12202120⨫⇇↔(∨∊⋏⫏≰100000102)))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":374,"operation_count":11,"complexity_ratio":34.0,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2906,"base":3},"right_expr":{"type":"numeric_atoms","value":4084,"base":3}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1394,"base":3},"right_expr":{"type":"numeric_atoms","value":1510,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2565,"base":3},"right_expr":{"type":"numeric_atoms","value":1584,"base":3}}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2301,"base":3},"right_expr":{"type":"numeric_atoms","value":4200,"base":3}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":6572,"base":3}}}}},"used_operators":["jWTQ2TZYIH","kuIXHzHcAH","Noe24qw2ks","kbkesczE7y","DmTXOeWf9t","eLAdDNolq6","3tVxb0NHM4","tcjXMdvYtA","LXhwmt4mBO","IWmyXbctLI","R5aXW34M0v"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2906","layer":4},{"info":"number node, value=4084","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=4084, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1394","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1510, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-34034","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-34034, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1736","layer":2},{"info":"number node, value=2565","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=1584, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=324","layer":2},{"info":"compute binary expreesion, left_input=-1736, right_input=324, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2301","layer":4},{"info":"number node, value=4200","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=4200, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4918","layer":3},{"info":"number node, value=6572","layer":4},{"info":"compute unary expreesion, input=6572, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=144527","layer":3},{"info":"compute binary expreesion, left_input=4918, right_input=144527, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=309614","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=309614, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10222122≬⋮⫏≰12121021)⨐(⫏≰1220122⊲⩕⊾⫏≰2001221)⪨⊡(≤/⫏≰10112000⪎↠⫏≰2011200)≬⇓(≘(⫏≰10011020⪮%⊝⫏≰12202120⨫⇇↔(∨∊⋏⫏≰100000102)))=⫏≰0","reverse_text":"⫏≰0=(⫏≰10222122≬⋮⫏≰12121021)⨐(⫏≰1220122⊲⩕⊾⫏≰2001221)⪨⊡(≤/⫏≰10112000⪎↠⫏≰2011200)≬⇓(≘(⫏≰10011020⪮%⊝⫏≰12202120⨫⇇↔(∨∊⋏⫏≰100000102)))","cot":[{"info":"⫏≰10222122≬⋮⫏≰12121021=⫏≰1012011","layer":3},{"info":"⫏≰1220122⊲⩕⊾⫏≰2001221=⫏≰-1201200112","layer":3},{"info":"⫏≰1012011⨐⫏≰-1201200112=⫏≰-2101022","layer":2},{"info":"⫏≰10112000⪎↠⫏≰2011200=⫏≰12221","layer":3},{"info":"≤/⫏≰12221=⫏≰110000","layer":2},{"info":"⫏≰-2101022⪨⊡⫏≰110000=⫏≰0","layer":1},{"info":"⫏≰10011020⪮%⊝⫏≰12202120=⫏≰20202011","layer":3},{"info":"∨∊⋏⫏≰100000102=⫏≰21100020212","layer":3},{"info":"⫏≰20202011⨫⇇↔⫏≰21100020212=⫏≰-201112","layer":2},{"info":"≘⫏≰-201112=⫏≰120201201012","layer":1},{"info":"⫏≰0≬⇓⫏≰120201201012=⫏≰0","layer":0}]}
{"id":242,"expression_no_base_symbol":"(((↨$8412$)⫳≱↱(⊄⩳↩$2821$))⇗⋫)⊬⨰(↨$1397$≹⇙⪍$1034$⪶≀⋏(⫓⪴$1262$))","expression":"(((↨⫏≰102112120)⫳≱↱(⊄⩳↩⫏≰10212111))⇗⋫)⊬⨰(↨⫏≰1220202≹⇙⪍⫏≰1102022⪶≀⋏(⫓⪴⫏≰1201202))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1644,"operation_count":9,"complexity_ratio":182.66666666666666,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":8412,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2821,"base":3}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1397,"base":3},"right_expr":{"type":"numeric_atoms","value":1034,"base":3}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1262,"base":3}}}}},"used_operators":["s3Fd5m9Dh2","hpqmaQFPrd","ZvLB05nZmT","jiX4gk2v2Q","8w2t5hMYqp","zR4jO40bMj","AHs5Up7iyr","eLxqMNBOBk"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rxpJgHHUmx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","dWAJyo7jo9","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8412","layer":4},{"info":"compute unary expreesion, input=8412, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=2821","layer":4},{"info":"compute unary expreesion, input=2821, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8463","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8463, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"number node, value=1397","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=1034, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1592644","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1592644, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((↨⫏≰102112120)⫳≱↱(⊄⩳↩⫏≰10212111))⇗⋫)⊬⨰(↨⫏≰1220202≹⇙⪍⫏≰1102022⪶≀⋏(⫓⪴⫏≰1201202))=NaN","reverse_text":"NaN=(((↨⫏≰102112120)⫳≱↱(⊄⩳↩⫏≰10212111))⇗⋫)⊬⨰(↨⫏≰1220202≹⇙⪍⫏≰1102022⪶≀⋏(⫓⪴⫏≰1201202))","cot":[{"info":"↨⫏≰102112120=NaN","layer":3},{"info":"⊄⩳↩⫏≰10212111=⫏≰-102121110","layer":3},{"info":"NaN⫳≱↱⫏≰-102121110=NaN","layer":2},{"info":"NaN⇗⋫=NaN","layer":1},{"info":"⫏≰1220202≹⇙⪍⫏≰1102022=NaN","layer":3},{"info":"⫓⪴⫏≰1201202=⫏≰2222220200211","layer":3},{"info":"NaN⪶≀⋏⫏≰2222220200211=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"NaN⊬⨰NaN=NaN","layer":0}]}
{"id":243,"expression_no_base_symbol":"(($1609$⊉≛↸$1030$)⊉↱≁($2427$↺$3680$)⩚⊴⇥(≸≮$1228$)∋$3934$⨑⩅≇$1106$)≁↽≥((⋣($1559$⇷$3366$))⇌⫙⪟(⪹$2534$∇⊂⋱$1134$))","expression":"((⫏≰2012121⊉≛↸⫏≰1102011)⊉↱≁(⫏≰10022220↺⫏≰12001022)⩚⊴⇥(≸≮⫏≰1200111)∋⫏≰12101201⨑⩅≇⫏≰1111222)≁↽≥((⋣(⫏≰2010202⇷⫏≰11121200))⇌⫙⪟(⪹⫏≰10110212∇⊂⋱⫏≰1120000))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33274,"operation_count":13,"complexity_ratio":2559.5384615384614,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1609,"base":3},"right_expr":{"type":"numeric_atoms","value":1030,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2427,"base":3},"right_expr":{"type":"numeric_atoms","value":3680,"base":3}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1228,"base":3}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3934,"base":3},"right_expr":{"type":"numeric_atoms","value":1106,"base":3}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1559,"base":3},"right_expr":{"type":"numeric_atoms","value":3366,"base":3}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2534,"base":3},"right_expr":{"type":"numeric_atoms","value":1134,"base":3}}}}},"used_operators":["ncHt1X6cMc","NTOWxs364D","w2P8NbNXyL","DZ8iAZOCBD","7j4O788W3g","ukq6epAj5P","AljMvE3RRm","h92wMvzauj","AFVx7xoS7T","zQWRhDnn8F","mp7IySMOzn","USyYr0JgAa","nhYeJWJD5X"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=1030, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3218","layer":3},{"info":"number node, value=2427","layer":4},{"info":"number node, value=3680","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=3680, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3680","layer":3},{"info":"compute binary expreesion, left_input=3218, right_input=3680, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=8986","layer":2},{"info":"number node, value=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=3934","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3934, right_input=1106, 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=-11802","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11802, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8986, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1559","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=3366, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6732","layer":3},{"info":"compute unary expreesion, input=6732, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1979113","layer":2},{"info":"number node, value=2534","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=1134, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4522","layer":3},{"info":"compute unary expreesion, input=4522, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-4342","layer":2},{"info":"compute binary expreesion, left_input=-1979113, right_input=-4342, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=3979972","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979972, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2012121⊉≛↸⫏≰1102011)⊉↱≁(⫏≰10022220↺⫏≰12001022)⩚⊴⇥(≸≮⫏≰1200111)∋⫏≰12101201⨑⩅≇⫏≰1111222)≁↽≥((⋣(⫏≰2010202⇷⫏≰11121200))⇌⫙⪟(⪹⫏≰10110212∇⊂⋱⫏≰1120000))=NaN","reverse_text":"NaN=((⫏≰2012121⊉≛↸⫏≰1102011)⊉↱≁(⫏≰10022220↺⫏≰12001022)⩚⊴⇥(≸≮⫏≰1200111)∋⫏≰12101201⨑⩅≇⫏≰1111222)≁↽≥((⋣(⫏≰2010202⇷⫏≰11121200))⇌⫙⪟(⪹⫏≰10110212∇⊂⋱⫏≰1120000))","cot":[{"info":"⫏≰2012121⊉≛↸⫏≰1102011=⫏≰11102012","layer":3},{"info":"⫏≰10022220↺⫏≰12001022=⫏≰12001022","layer":3},{"info":"⫏≰11102012⊉↱≁⫏≰12001022=⫏≰110022211","layer":2},{"info":"≸≮⫏≰1200111=NaN","layer":3},{"info":"⫏≰12101201⨑⩅≇⫏≰1111222=⫏≰-121012010","layer":3},{"info":"NaN∋⫏≰-121012010=NaN","layer":2},{"info":"⫏≰110022211⩚⊴⇥NaN=NaN","layer":1},{"info":"⫏≰2010202⇷⫏≰11121200=⫏≰100020100","layer":3},{"info":"⋣⫏≰100020100=⫏≰-10201112211111","layer":2},{"info":"⫏≰10110212∇⊂⋱⫏≰1120000=⫏≰20012111","layer":3},{"info":"⪹⫏≰20012111=⫏≰-12221211","layer":2},{"info":"⫏≰-10201112211111⇌⫙⪟⫏≰-12221211=⫏≰21111012111101","layer":1},{"info":"NaN≁↽≥⫏≰21111012111101=NaN","layer":0}]}
{"id":244,"expression_no_base_symbol":"(⊀($1508$∪⫐$5052$)⪬($2465$⪢$8624$))⇯⋐","expression":"(⊀(⫏≰2001212∪⫐⫏≰20221010)⪬(⫏≰10101022⪢⫏≰102211102))⇯⋐","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9237,"operation_count":5,"complexity_ratio":1847.4,"tree":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1508,"base":3},"right_expr":{"type":"numeric_atoms","value":5052,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2465,"base":3},"right_expr":{"type":"numeric_atoms","value":8624,"base":3}}}}},"used_operators":["LkLIoiE525","oPMjh9089D","Ez1Nq5fNfI","7YooWSwCyH","dWAJyo7jo9"],"dependent_operators":["P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rJVOvQCfKK","2DDjHMKMc0","k8jYdgA6NY"],"result":"⫏≰202102212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"number node, value=5052","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=5052, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1508","layer":3},{"info":"number node, value=2465","layer":4},{"info":"number node, value=8624","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=8624, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1508, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4674","layer":1},{"info":"compute unary expreesion, input=4674, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=14900","layer":0}],"base":3,"result_base":3,"text":"(⊀(⫏≰2001212∪⫐⫏≰20221010)⪬(⫏≰10101022⪢⫏≰102211102))⇯⋐=⫏≰202102212","reverse_text":"⫏≰202102212=(⊀(⫏≰2001212∪⫐⫏≰20221010)⪬(⫏≰10101022⪢⫏≰102211102))⇯⋐","cot":[{"info":"⫏≰2001212∪⫐⫏≰20221010=⫏≰2001212","layer":3},{"info":"⫏≰10101022⪢⫏≰102211102=NaN","layer":3},{"info":"⫏≰2001212⪬NaN=⫏≰1200201","layer":2},{"info":"⊀⫏≰1200201=⫏≰20102010","layer":1},{"info":"⫏≰20102010⇯⋐=⫏≰202102212","layer":0}]}
{"id":245,"expression_no_base_symbol":"∥⊫(⪫⨮⊛(⩰$1030$⩦$2312$))","expression":"∥⊫(⪫⨮⊛(⩰⫏≰1102011⩦⫏≰10011122))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":70350,"operation_count":4,"complexity_ratio":17587.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1030,"base":3},"right_expr":{"type":"numeric_atoms","value":2312,"base":3}}}}},"used_operators":["P8v4zCKN1o","w5FWba1tyO","WkeUrDK8WX","0kmYd0q39Y"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2312, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2060","layer":3},{"info":"compute unary expreesion, input=2060, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3060","layer":2},{"info":"compute unary expreesion, input=-3060, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∥⊫(⪫⨮⊛(⩰⫏≰1102011⩦⫏≰10011122))=NaN","reverse_text":"NaN=∥⊫(⪫⨮⊛(⩰⫏≰1102011⩦⫏≰10011122))","cot":[{"info":"⫏≰1102011⩦⫏≰10011122=⫏≰2211022","layer":3},{"info":"⩰⫏≰2211022=⫏≰-11012100","layer":2},{"info":"⪫⨮⊛⫏≰-11012100=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"(⩪∧⨌($3092$⨫⇇↔$1940$∙∹∝(⊈$2154$)))∸","expression":"(⩪∧⨌(⫏≰11020112⨫⇇↔⫏≰2122212∙∹∝(⊈⫏≰2221210)))∸","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":208,"operation_count":5,"complexity_ratio":41.6,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3092,"base":3},"right_expr":{"type":"numeric_atoms","value":1940,"base":3}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2154,"base":3}}}}},"used_operators":["o20kRiQErp","6iOiAJX1F8","HmxsFra2vL","LXhwmt4mBO","RHru8klgy8"],"dependent_operators":["tmPS8pqC7x","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","12rbrZMWeM","xUOZtlo3hN"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3092","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=3092, right_input=1940, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2154","layer":4},{"info":"compute unary expreesion, input=2154, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2328","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-2328, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":3,"result_base":3,"text":"(⩪∧⨌(⫏≰11020112⨫⇇↔⫏≰2122212∙∹∝(⊈⫏≰2221210)))∸=⫏≰20120","reverse_text":"⫏≰20120=(⩪∧⨌(⫏≰11020112⨫⇇↔⫏≰2122212∙∹∝(⊈⫏≰2221210)))∸","cot":[{"info":"⫏≰11020112⨫⇇↔⫏≰2122212=⫏≰-201112","layer":3},{"info":"⊈⫏≰2221210=⫏≰-10012020","layer":3},{"info":"⫏≰-201112∙∹∝⫏≰-10012020=⫏≰0","layer":2},{"info":"⩪∧⨌⫏≰0=⫏≰0","layer":1},{"info":"⫏≰0∸=⫏≰20120","layer":0}]}
{"id":247,"expression_no_base_symbol":"($1055$⨜⨶$1383$⪇≇⋚($1404$⇄$1755$))⨚($3192$≁$3947$)≁↽≥($2981$↙$4430$)⇐≅","expression":"(⫏≰1110002⨜⨶⫏≰1220020⪇≇⋚(⫏≰1221000⇄⫏≰2102000))⨚(⫏≰11101020≁⫏≰12102012)≁↽≥(⫏≰11002102↙⫏≰20002002)⇐≅","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17892,"operation_count":8,"complexity_ratio":2236.5,"tree":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1055,"base":3},"right_expr":{"type":"numeric_atoms","value":1383,"base":3}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1404,"base":3},"right_expr":{"type":"numeric_atoms","value":1755,"base":3}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3192,"base":3},"right_expr":{"type":"numeric_atoms","value":3947,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2981,"base":3},"right_expr":{"type":"numeric_atoms","value":4430,"base":3}}}}},"used_operators":["wEfv7U73WA","nREPSIbpBE","3sJ7IOPOlU","HiPekx5b7W","3EYGwJThht","ncHt1X6cMc","8N2wDY1A35","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","12rbrZMWeM","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰11101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1383, 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=-2510","layer":3},{"info":"number node, value=1404","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1755, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2510, right_input=0, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=3192","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=3947, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=81527","layer":3},{"info":"number node, value=2981","layer":4},{"info":"number node, value=4430","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=4430, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13290","layer":3},{"info":"compute binary expreesion, left_input=81527, right_input=-13290, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=196, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=150","layer":1},{"info":"compute unary expreesion, input=150, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=118","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1110002⨜⨶⫏≰1220020⪇≇⋚(⫏≰1221000⇄⫏≰2102000))⨚(⫏≰11101020≁⫏≰12102012)≁↽≥(⫏≰11002102↙⫏≰20002002)⇐≅=⫏≰11101","reverse_text":"⫏≰11101=(⫏≰1110002⨜⨶⫏≰1220020⪇≇⋚(⫏≰1221000⇄⫏≰2102000))⨚(⫏≰11101020≁⫏≰12102012)≁↽≥(⫏≰11002102↙⫏≰20002002)⇐≅","cot":[{"info":"⫏≰1110002⨜⨶⫏≰1220020=⫏≰-10102222","layer":3},{"info":"⫏≰1221000⇄⫏≰2102000=⫏≰0","layer":3},{"info":"⫏≰-10102222⪇≇⋚⫏≰0=⫏≰0","layer":2},{"info":"⫏≰11101020≁⫏≰12102012=⫏≰11010211112","layer":3},{"info":"⫏≰11002102↙⫏≰20002002=⫏≰-200020020","layer":3},{"info":"⫏≰11010211112≁↽≥⫏≰-200020020=⫏≰21021","layer":2},{"info":"⫏≰0⨚⫏≰21021=⫏≰12120","layer":1},{"info":"⫏≰12120⇐≅=⫏≰11101","layer":0}]}
{"id":248,"expression_no_base_symbol":"∜⨇(($8296$⩵∡$2043$+$1231$⩷∴$3231$)≚⊃≕(⨈⪑$2271$⪚$1634$))","expression":"∜⨇((⫏≰102101021⩵∡⫏≰2210200+⫏≰1200121⩷∴⫏≰11102200)≚⊃≕(⨈⪑⫏≰10010010⪚⫏≰2020112))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":193,"operation_count":7,"complexity_ratio":27.571428571428573,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":8296,"base":3},"right_expr":{"type":"numeric_atoms","value":2043,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1231,"base":3},"right_expr":{"type":"numeric_atoms","value":3231,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2271,"base":3},"right_expr":{"type":"numeric_atoms","value":1634,"base":3}}}}},"used_operators":["uFPyJr306J","Bmrmz2XGnR","W4YGzv6Whe","Y7wcNGrDQJ","9FxExcQeMw","mp94q5OcYM","HrjLwUk87U"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8296","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=8296, right_input=2043, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-14670","layer":3},{"info":"number node, value=1231","layer":4},{"info":"number node, value=3231","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=3231, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4032","layer":3},{"info":"compute binary expreesion, left_input=-14670, right_input=-4032, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-18702","layer":2},{"info":"number node, value=2271","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=1634, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=918","layer":3},{"info":"compute unary expreesion, input=918, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-18702, right_input=868, 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=-73238","layer":1},{"info":"compute unary expreesion, input=-73238, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∜⨇((⫏≰102101021⩵∡⫏≰2210200+⫏≰1200121⩷∴⫏≰11102200)≚⊃≕(⨈⪑⫏≰10010010⪚⫏≰2020112))=NaN","reverse_text":"NaN=∜⨇((⫏≰102101021⩵∡⫏≰2210200+⫏≰1200121⩷∴⫏≰11102200)≚⊃≕(⨈⪑⫏≰10010010⪚⫏≰2020112))","cot":[{"info":"⫏≰102101021⩵∡⫏≰2210200=⫏≰-202010100","layer":3},{"info":"⫏≰1200121⩷∴⫏≰11102200=⫏≰-12112100","layer":3},{"info":"⫏≰-202010100+⫏≰-12112100=⫏≰-221122200","layer":2},{"info":"⫏≰10010010⪚⫏≰2020112=⫏≰1021000","layer":3},{"info":"⨈⪑⫏≰1021000=⫏≰1012011","layer":2},{"info":"⫏≰-221122200≚⊃≕⫏≰1012011=⫏≰-10201110112","layer":1},{"info":"∜⨇⫏≰-10201110112=NaN","layer":0}]}
{"id":249,"expression_no_base_symbol":"($7519$≨$5545$⩺⪪($6616$↱$1228$))⫁⪎(⩦⩻⨪$6885$⪃⊛⇣$4274$)⨻⩈⩔((⫡⇟⇯$2197$)⊭↱$3008$⫁⪎$8118$)⨫⇇↔($3877$⫥∨⫟$4677$)∌($6789$⊹∫⫚$1155$)","expression":"(⫏≰101022111≨⫏≰21121101⩺⪪(⫏≰100002001↱⫏≰1200111))⫁⪎(⩦⩻⨪⫏≰100110000⪃⊛⇣⫏≰12212022)⨻⩈⩔((⫡⇟⇯⫏≰10000101)⊭↱⫏≰11010102⫁⪎⫏≰102010200)⨫⇇↔(⫏≰12022121⫥∨⫟⫏≰20102020)∌(⫏≰100022110⊹∫⫚⫏≰1120210)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1100,"operation_count":14,"complexity_ratio":78.57142857142857,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":7519,"base":3},"right_expr":{"type":"numeric_atoms","value":5545,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6616,"base":3},"right_expr":{"type":"numeric_atoms","value":1228,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6885,"base":3},"right_expr":{"type":"numeric_atoms","value":4274,"base":3}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2197,"base":3}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3008,"base":3},"right_expr":{"type":"numeric_atoms","value":8118,"base":3}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3877,"base":3},"right_expr":{"type":"numeric_atoms","value":4677,"base":3}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6789,"base":3},"right_expr":{"type":"numeric_atoms","value":1155,"base":3}}}}},"used_operators":["nEsXyWgiOK","xRrnTEsQ6j","uvdQJvN4PV","0KMCeP1Jsh","SR5kFfdi6N","2td37pGCOC","rrgAzCduG9","LXhwmt4mBO","COABgblf1C","qWUSsah53b","8cLx32lpNA","KYD54nUTWz","uWAJUKEvyW"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⫏≰-20110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7519","layer":4},{"info":"number node, value=5545","layer":4},{"info":"compute binary expreesion, left_input=7519, right_input=5545, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-72714","layer":3},{"info":"number node, value=6616","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=6616, right_input=1228, 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=-3162","layer":3},{"info":"compute binary expreesion, left_input=-72714, right_input=-3162, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=6885","layer":4},{"info":"number node, value=4274","layer":4},{"info":"compute binary expreesion, left_input=6885, right_input=4274, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=1234, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3052","layer":1},{"info":"number node, value=2197","layer":4},{"info":"compute unary expreesion, input=2197, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5262","layer":3},{"info":"number node, value=3008","layer":4},{"info":"number node, value=8118","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=8118, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-5110","layer":3},{"info":"compute binary expreesion, left_input=5262, right_input=-5110, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-20739","layer":2},{"info":"number node, value=3877","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=4677, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6789","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=6789, right_input=1155, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-132","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-132, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=132","layer":2},{"info":"compute binary expreesion, left_input=-20739, right_input=132, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-3052, right_input=-527, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":3,"result_base":3,"text":"(⫏≰101022111≨⫏≰21121101⩺⪪(⫏≰100002001↱⫏≰1200111))⫁⪎(⩦⩻⨪⫏≰100110000⪃⊛⇣⫏≰12212022)⨻⩈⩔((⫡⇟⇯⫏≰10000101)⊭↱⫏≰11010102⫁⪎⫏≰102010200)⨫⇇↔(⫏≰12022121⫥∨⫟⫏≰20102020)∌(⫏≰100022110⊹∫⫚⫏≰1120210)=⫏≰-20110","reverse_text":"⫏≰-20110=(⫏≰101022111≨⫏≰21121101⩺⪪(⫏≰100002001↱⫏≰1200111))⫁⪎(⩦⩻⨪⫏≰100110000⪃⊛⇣⫏≰12212022)⨻⩈⩔((⫡⇟⇯⫏≰10000101)⊭↱⫏≰11010102⫁⪎⫏≰102010200)⨫⇇↔(⫏≰12022121⫥∨⫟⫏≰20102020)∌(⫏≰100022110⊹∫⫚⫏≰1120210)","cot":[{"info":"⫏≰101022111≨⫏≰21121101=⫏≰-10200202010","layer":3},{"info":"⫏≰100002001↱⫏≰1200111=⫏≰-11100010","layer":3},{"info":"⫏≰-10200202010⩺⪪⫏≰-11100010=⫏≰-2111100","layer":2},{"info":"⫏≰100110000⪃⊛⇣⫏≰12212022=⫏≰1200201","layer":3},{"info":"⩦⩻⨪⫏≰1200201=⫏≰1200201","layer":2},{"info":"⫏≰-2111100⫁⪎⫏≰1200201=⫏≰-11012001","layer":1},{"info":"⫡⇟⇯⫏≰10000101=⫏≰21012220","layer":3},{"info":"⫏≰11010102⫁⪎⫏≰102010200=⫏≰-21000021","layer":3},{"info":"⫏≰21012220⊭↱⫏≰-21000021=⫏≰-1001110010","layer":2},{"info":"⫏≰12022121⫥∨⫟⫏≰20102020=NaN","layer":3},{"info":"⫏≰100022110⊹∫⫚⫏≰1120210=⫏≰-11220","layer":3},{"info":"NaN∌⫏≰-11220=⫏≰11220","layer":2},{"info":"⫏≰-1001110010⨫⇇↔⫏≰11220=⫏≰-201112","layer":1},{"info":"⫏≰-11012001⨻⩈⩔⫏≰-201112=⫏≰-20110","layer":0}]}
{"id":250,"expression_no_base_symbol":"(((⇖⫷⫕$2146$)⋐⇩⊬)⇌⫙⪟($5705$∛$2516$)⫘$1813$⨸$1825$)⊴(($5536$↱$1728$)⋳⪒$3106$∋$5964$⋷(⨂⪏⇭($7292$⪨⊡$1548$)))","expression":"(((⇖⫷⫕⫏≰2221111)⋐⇩⊬)⇌⫙⪟(⫏≰21211022∛⫏≰10110012)⫘⫏≰2111011⨸⫏≰2111121)⊴((⫏≰21121001↱⫏≰2101000)⋳⪒⫏≰11021001∋⫏≰22011220⋷(⨂⪏⇭(⫏≰101000002⪨⊡⫏≰2010100)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3871,"operation_count":13,"complexity_ratio":297.7692307692308,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2146,"base":3}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5705,"base":3},"right_expr":{"type":"numeric_atoms","value":2516,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1813,"base":3},"right_expr":{"type":"numeric_atoms","value":1825,"base":3}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5536,"base":3},"right_expr":{"type":"numeric_atoms","value":1728,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3106,"base":3},"right_expr":{"type":"numeric_atoms","value":5964,"base":3}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":7292,"base":3},"right_expr":{"type":"numeric_atoms","value":1548,"base":3}}}}},"used_operators":["Nsiff2A1zJ","AFVx7xoS7T","JuuLT1NoCs","UHmRx3INFg","48vC8HMD2b","w2537kitQq","KmoU8R5UQR","23Mk6UjR3U","12rbrZMWeM","SR5kFfdi6N","ukq6epAj5P","AYdpE9sXAk","kuIXHzHcAH"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2822","layer":2},{"info":"number node, value=5705","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=5705, right_input=2516, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1813","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=1825, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3626","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=3626, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2944439","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=2944439, 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=5536","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=5536, right_input=1728, 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=-4662","layer":3},{"info":"number node, value=3106","layer":4},{"info":"number node, value=5964","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=5964, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=12465248","layer":3},{"info":"compute binary expreesion, left_input=-4662, right_input=12465248, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-12474859","layer":2},{"info":"number node, value=7292","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=7292, right_input=1548, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-979","layer":2},{"info":"compute binary expreesion, left_input=-12474859, right_input=-979, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=24949718","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=24949718, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⇖⫷⫕⫏≰2221111)⋐⇩⊬)⇌⫙⪟(⫏≰21211022∛⫏≰10110012)⫘⫏≰2111011⨸⫏≰2111121)⊴((⫏≰21121001↱⫏≰2101000)⋳⪒⫏≰11021001∋⫏≰22011220⋷(⨂⪏⇭(⫏≰101000002⪨⊡⫏≰2010100)))=NaN","reverse_text":"NaN=(((⇖⫷⫕⫏≰2221111)⋐⇩⊬)⇌⫙⪟(⫏≰21211022∛⫏≰10110012)⫘⫏≰2111011⨸⫏≰2111121)⊴((⫏≰21121001↱⫏≰2101000)⋳⪒⫏≰11021001∋⫏≰22011220⋷(⨂⪏⇭(⫏≰101000002⪨⊡⫏≰2010100)))","cot":[{"info":"⇖⫷⫕⫏≰2221111=⫏≰10212112","layer":3},{"info":"⫏≰10212112⋐⇩⊬=⫏≰10212112","layer":2},{"info":"⫏≰21211022∛⫏≰10110012=⫏≰-220211","layer":3},{"info":"⫏≰2111011⨸⫏≰2111121=⫏≰11222022","layer":3},{"info":"⫏≰-220211⫘⫏≰11222022=⫏≰12112121000022","layer":2},{"info":"⫏≰10212112⇌⫙⪟⫏≰12112121000022=⫏≰11012","layer":1},{"info":"⫏≰21121001↱⫏≰2101000=⫏≰-20101200","layer":3},{"info":"⫏≰11021001∋⫏≰22011220=⫏≰212110022002212","layer":3},{"info":"⫏≰-20101200⋳⪒⫏≰212110022002212=⫏≰-212110210021211","layer":2},{"info":"⫏≰101000002⪨⊡⫏≰2010100=⫏≰0","layer":3},{"info":"⨂⪏⇭⫏≰0=⫏≰-1100021","layer":2},{"info":"⫏≰-212110210021211⋷⫏≰-1100021=⫏≰1201221120120122","layer":1},{"info":"⫏≰11012⊴⫏≰1201221120120122=NaN","layer":0}]}
{"id":251,"expression_no_base_symbol":"($1389$↡⊰⫅$1929$)↤⩊($1481$∙⊟$1265$)∠⫱($2947$∷$2248$)⇄($3347$⊀⩕)≀⩗∶(∑⇻≧(≦∁$2565$)⩌⋺$2423$≌$8543$)","expression":"(⫏≰1220110↡⊰⫅⫏≰2122110)↤⩊(⫏≰2000212∙⊟⫏≰1201212)∠⫱(⫏≰11001011∷⫏≰10002021)⇄(⫏≰11120222⊀⩕)≀⩗∶(∑⇻≧(≦∁⫏≰10112000)⩌⋺⫏≰10022202≌⫏≰102201102)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":38711,"operation_count":12,"complexity_ratio":3225.9166666666665,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1389,"base":3},"right_expr":{"type":"numeric_atoms","value":1929,"base":3}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1481,"base":3},"right_expr":{"type":"numeric_atoms","value":1265,"base":3}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2947,"base":3},"right_expr":{"type":"numeric_atoms","value":2248,"base":3}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":3347,"base":3}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2565,"base":3}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2423,"base":3},"right_expr":{"type":"numeric_atoms","value":8543,"base":3}}}}},"used_operators":["8INZBEW696","QvoQhV0rrE","13rbtpv6ld","VCtxkLNOzz","SxTAKzQCrw","3EYGwJThht","D3AQDKkPcf","r0FS3hW4cC","l1M9WJ3V7u","g7Hmc5v1ko","9ICcGScMcE","lyWz822IDG"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rGHVDoGpnC","nhYeJWJD5X","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1389","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=1929, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3858","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1265, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=29099","layer":3},{"info":"compute binary expreesion, left_input=3858, right_input=29099, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=2947","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=2248, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2248","layer":3},{"info":"number node, value=3347","layer":4},{"info":"compute unary expreesion, input=3347, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2248, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"number node, value=2565","layer":4},{"info":"compute unary expreesion, input=2565, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2565","layer":3},{"info":"number node, value=2423","layer":4},{"info":"number node, value=8543","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=8543, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2565, right_input=nan, 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=nan","layer":2},{"info":"compute unary expreesion, input=nan, 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 = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1220110↡⊰⫅⫏≰2122110)↤⩊(⫏≰2000212∙⊟⫏≰1201212)∠⫱(⫏≰11001011∷⫏≰10002021)⇄(⫏≰11120222⊀⩕)≀⩗∶(∑⇻≧(≦∁⫏≰10112000)⩌⋺⫏≰10022202≌⫏≰102201102)=NaN","reverse_text":"NaN=(⫏≰1220110↡⊰⫅⫏≰2122110)↤⩊(⫏≰2000212∙⊟⫏≰1201212)∠⫱(⫏≰11001011∷⫏≰10002021)⇄(⫏≰11120222⊀⩕)≀⩗∶(∑⇻≧(≦∁⫏≰10112000)⩌⋺⫏≰10022202≌⫏≰102201102)","cot":[{"info":"⫏≰1220110↡⊰⫅⫏≰2122110=⫏≰12021220","layer":3},{"info":"⫏≰2000212∙⊟⫏≰1201212=⫏≰1110220202","layer":3},{"info":"⫏≰12021220↤⩊⫏≰1110220202=NaN","layer":2},{"info":"⫏≰11001011∷⫏≰10002021=⫏≰10002021","layer":3},{"info":"⫏≰11120222⊀⩕=⫏≰0","layer":3},{"info":"⫏≰10002021⇄⫏≰0=⫏≰0","layer":2},{"info":"NaN∠⫱⫏≰0=NaN","layer":1},{"info":"≦∁⫏≰10112000=⫏≰10112000","layer":3},{"info":"⫏≰10022202≌⫏≰102201102=NaN","layer":3},{"info":"⫏≰10112000⩌⋺NaN=NaN","layer":2},{"info":"∑⇻≧NaN=⫏≰-1011120","layer":1},{"info":"NaN≀⩗∶⫏≰-1011120=NaN","layer":0}]}
{"id":252,"expression_no_base_symbol":"∷≠(⨈⫕($2036$⫑%∭)⋳⪒($7401$⊾⪯⋞$3518$))","expression":"∷≠(⨈⫕(⫏≰2210102⫑%∭)⋳⪒(⫏≰101011010⊾⪯⋞⫏≰11211022))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1421,"operation_count":5,"complexity_ratio":284.2,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":2036,"base":3}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":7401,"base":3},"right_expr":{"type":"numeric_atoms","value":3518,"base":3}}}}},"used_operators":["QiR2Oyf5Xj","megm06wKyl","12rbrZMWeM","xUx7qlDO4z","HK0tfVPux8"],"dependent_operators":["7j4O788W3g","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2036","layer":4},{"info":"compute unary expreesion, input=2036, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=7401","layer":4},{"info":"number node, value=3518","layer":4},{"info":"compute binary expreesion, left_input=7401, right_input=3518, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6610","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6610, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-21","layer":0}],"base":3,"result_base":3,"text":"∷≠(⨈⫕(⫏≰2210102⫑%∭)⋳⪒(⫏≰101011010⊾⪯⋞⫏≰11211022))=⫏≰-210","reverse_text":"⫏≰-210=∷≠(⨈⫕(⫏≰2210102⫑%∭)⋳⪒(⫏≰101011010⊾⪯⋞⫏≰11211022))","cot":[{"info":"⫏≰2210102⫑%∭=NaN","layer":3},{"info":"⫏≰101011010⊾⪯⋞⫏≰11211022=⫏≰100001211","layer":3},{"info":"NaN⋳⪒⫏≰100001211=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"∷≠⫏≰-210=⫏≰-210","layer":0}]}
{"id":253,"expression_no_base_symbol":"(($2244$*$1683$)⨓$4915$⊕∕$3270$)⩼⇪↪(($2649$⩒⫫$1522$)∘(↴⪽⋼$2585$))≥⨤⩑(($9441$≚⊃≕$4832$)⩖⊿(⪝⪂⫅$1088$)↬⩅∪)","expression":"((⫏≰10002010*⫏≰2022100)⨓⫏≰20202001⊕∕⫏≰11111010)⩼⇪↪((⫏≰10122010⩒⫫⫏≰2002101)∘(↴⪽⋼⫏≰10112202))≥⨤⩑((⫏≰110221200≚⊃≕⫏≰20121222)⩖⊿(⪝⪂⫅⫏≰1111022)↬⩅∪)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6866,"operation_count":12,"complexity_ratio":572.1666666666666,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2244,"base":3},"right_expr":{"type":"numeric_atoms","value":1683,"base":3}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4915,"base":3},"right_expr":{"type":"numeric_atoms","value":3270,"base":3}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2649,"base":3},"right_expr":{"type":"numeric_atoms","value":1522,"base":3}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":2585,"base":3}}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":9441,"base":3},"right_expr":{"type":"numeric_atoms","value":4832,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1088,"base":3}}}}},"used_operators":["gJLn6v0xnP","ocnLzx9CaJ","3ViojmjbAp","9HNa5Wba9A","9cloC0Ngie","Z5m6OM72h2","KFSx94NKJn","5TUYCnJO6w","VJ330n2nnx","RZ5CV9rWsJ","Bmrmz2XGnR","XTarYq4gQB"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2244","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=1683, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3776652","layer":3},{"info":"number node, value=4915","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=4915, right_input=3270, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4915","layer":3},{"info":"compute binary expreesion, left_input=3776652, right_input=4915, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4918","layer":2},{"info":"number node, value=2649","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=2649, right_input=1522, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2347","layer":3},{"info":"number node, value=2585","layer":4},{"info":"compute unary expreesion, input=2585, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2585","layer":3},{"info":"compute binary expreesion, left_input=2347, right_input=2585, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4694","layer":2},{"info":"compute binary expreesion, left_input=-4918, right_input=4694, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-43477","layer":1},{"info":"number node, value=9441","layer":4},{"info":"number node, value=4832","layer":4},{"info":"compute binary expreesion, left_input=9441, right_input=4832, 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":3},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-159936","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-159936, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=321786","layer":2},{"info":"compute unary expreesion, input=321786, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-965358","layer":1},{"info":"compute binary expreesion, left_input=-43477, right_input=-965358, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10002010*⫏≰2022100)⨓⫏≰20202001⊕∕⫏≰11111010)⩼⇪↪((⫏≰10122010⩒⫫⫏≰2002101)∘(↴⪽⋼⫏≰10112202))≥⨤⩑((⫏≰110221200≚⊃≕⫏≰20121222)⩖⊿(⪝⪂⫅⫏≰1111022)↬⩅∪)=NaN","reverse_text":"NaN=((⫏≰10002010*⫏≰2022100)⨓⫏≰20202001⊕∕⫏≰11111010)⩼⇪↪((⫏≰10122010⩒⫫⫏≰2002101)∘(↴⪽⋼⫏≰10112202))≥⨤⩑((⫏≰110221200≚⊃≕⫏≰20121222)⩖⊿(⪝⪂⫅⫏≰1111022)↬⩅∪)","cot":[{"info":"⫏≰10002010*⫏≰2022100=⫏≰21002212121000","layer":3},{"info":"⫏≰20202001⊕∕⫏≰11111010=⫏≰20202001","layer":3},{"info":"⫏≰21002212121000⨓⫏≰20202001=⫏≰-20202011","layer":2},{"info":"⫏≰10122010⩒⫫⫏≰2002101=⫏≰10012221","layer":3},{"info":"↴⪽⋼⫏≰10112202=⫏≰10112202","layer":3},{"info":"⫏≰10012221∘⫏≰10112202=⫏≰20102212","layer":2},{"info":"⫏≰-20202011⩼⇪↪⫏≰20102212=⫏≰-2012122021","layer":1},{"info":"⫏≰110221200≚⊃≕⫏≰20121222=⫏≰2111","layer":3},{"info":"⪝⪂⫅⫏≰1111022=⫏≰-22010101120","layer":3},{"info":"⫏≰2111⩖⊿⫏≰-22010101120=⫏≰121100102000","layer":2},{"info":"⫏≰121100102000↬⩅∪=⫏≰-1211001020000","layer":1},{"info":"⫏≰-2012122021≥⨤⩑⫏≰-1211001020000=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"∤((⊄⩳↩$2066$⪮%⊝$3135$)⊴⇁⪶)","expression":"∤((⊄⩳↩⫏≰2211112⪮%⊝⫏≰11022010)⊴⇁⪶)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":53540,"operation_count":4,"complexity_ratio":13385.0,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2066,"base":3},"right_expr":{"type":"numeric_atoms","value":3135,"base":3}}}}},"used_operators":["k2HlF1dBQh","oo9mF6JIpo","8w2t5hMYqp","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2066","layer":4},{"info":"number node, value=3135","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=3135, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4448","layer":3},{"info":"compute unary expreesion, input=4448, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13344","layer":2},{"info":"compute unary expreesion, input=-13344, 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=-301246","layer":1},{"info":"compute unary expreesion, input=-301246, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":3,"result_base":3,"text":"∤((⊄⩳↩⫏≰2211112⪮%⊝⫏≰11022010)⊴⇁⪶)=⫏≰100","reverse_text":"⫏≰100=∤((⊄⩳↩⫏≰2211112⪮%⊝⫏≰11022010)⊴⇁⪶)","cot":[{"info":"⫏≰2211112⪮%⊝⫏≰11022010=⫏≰20002202","layer":3},{"info":"⊄⩳↩⫏≰20002202=⫏≰-200022020","layer":2},{"info":"⫏≰-200022020⊴⇁⪶=⫏≰-120022020021","layer":1},{"info":"∤⫏≰-120022020021=⫏≰100","layer":0}]}
{"id":255,"expression_no_base_symbol":"((∓$4239$≨$4466$)⨔≚≋((⪨⨬$1086$)⩹$5678$↱$1363$))≎⪠(($2130$⪨≂$2538$)⋣⋖(≑⋹$1636$)≎⊠⪸($1362$⫸⊐$1974$)⋥⋵⩄(+⊝⨔$1773$))","expression":"((∓⫏≰12211000≨⫏≰20010102)⨔≚≋((⪨⨬⫏≰1111020)⩹⫏≰21210022↱⫏≰1212111))≎⪠((⫏≰2220220⪨≂⫏≰10111000)⋣⋖(≑⋹⫏≰2020121)≎⊠⪸(⫏≰1212110⫸⊐⫏≰2201010)⋥⋵⩄(+⊝⨔⫏≰2102200))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":19790,"operation_count":14,"complexity_ratio":1413.5714285714287,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4239,"base":3},"right_expr":{"type":"numeric_atoms","value":4466,"base":3}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1086,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5678,"base":3},"right_expr":{"type":"numeric_atoms","value":1363,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2130,"base":3},"right_expr":{"type":"numeric_atoms","value":2538,"base":3}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1636,"base":3}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1362,"base":3},"right_expr":{"type":"numeric_atoms","value":1974,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1773,"base":3}}}}},"used_operators":["aNhz54LH3e","Z57zeUYC9z","OwUj7dcsQK","0KMCeP1Jsh","2Wsdkap16l","5obUd6DV38","SR5kFfdi6N","bJkvcejdHO","J0M6qkBnIM","sdazOOVcIp","6B9nyZLogK","7t3wd0Fuz7","mqXw5SEYmG","DhbWaqg5eL"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","T2fj7uvVaJ","nlCqmYiOvY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫏≰222211101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4239","layer":4},{"info":"number node, value=4466","layer":4},{"info":"compute binary expreesion, left_input=4239, right_input=4466, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-39914","layer":3},{"info":"compute unary expreesion, input=-39914, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=593838","layer":2},{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=5678","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=5678, right_input=1363, 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=-3567","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-3567, 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=-3569","layer":2},{"info":"compute binary expreesion, left_input=593838, right_input=-3569, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=2130","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=2538, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-714","layer":3},{"info":"number node, value=1636","layer":4},{"info":"compute unary expreesion, input=1636, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-714, right_input=1650, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-714","layer":2},{"info":"number node, value=1362","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=1974, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7771","layer":3},{"info":"number node, value=1773","layer":4},{"info":"compute unary expreesion, input=1773, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=7771, right_input=1522, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-714, right_input=113, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=184926","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=184926, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":3,"result_base":3,"text":"((∓⫏≰12211000≨⫏≰20010102)⨔≚≋((⪨⨬⫏≰1111020)⩹⫏≰21210022↱⫏≰1212111))≎⪠((⫏≰2220220⪨≂⫏≰10111000)⋣⋖(≑⋹⫏≰2020121)≎⊠⪸(⫏≰1212110⫸⊐⫏≰2201010)⋥⋵⩄(+⊝⨔⫏≰2102200))=⫏≰222211101","reverse_text":"⫏≰222211101=((∓⫏≰12211000≨⫏≰20010102)⨔≚≋((⪨⨬⫏≰1111020)⩹⫏≰21210022↱⫏≰1212111))≎⪠((⫏≰2220220⪨≂⫏≰10111000)⋣⋖(≑⋹⫏≰2020121)≎⊠⪸(⫏≰1212110⫸⊐⫏≰2201010)⋥⋵⩄(+⊝⨔⫏≰2102200))","cot":[{"info":"⫏≰12211000≨⫏≰20010102=⫏≰-2000202022","layer":3},{"info":"∓⫏≰-2000202022=⫏≰1010011121000","layer":2},{"info":"⪨⨬⫏≰1111020=⫏≰-201111","layer":3},{"info":"⫏≰21210022↱⫏≰1212111=⫏≰-11220010","layer":3},{"info":"⫏≰-201111⩹⫏≰-11220010=⫏≰-11220012","layer":2},{"info":"⫏≰1010011121000⨔≚≋⫏≰-11220012=⫏≰111112122","layer":1},{"info":"⫏≰2220220⪨≂⫏≰10111000=⫏≰-222110","layer":3},{"info":"≑⋹⫏≰2020121=⫏≰2021010","layer":3},{"info":"⫏≰-222110⋣⋖⫏≰2021010=⫏≰-222110","layer":2},{"info":"⫏≰1212110⫸⊐⫏≰2201010=⫏≰101122211","layer":3},{"info":"+⊝⨔⫏≰2102200=⫏≰2002101","layer":3},{"info":"⫏≰101122211⋥⋵⩄⫏≰2002101=⫏≰11012","layer":2},{"info":"⫏≰-222110≎⊠⪸⫏≰11012=⫏≰100101200010","layer":1},{"info":"⫏≰111112122≎⪠⫏≰100101200010=⫏≰222211101","layer":0}]}
{"id":256,"expression_no_base_symbol":"(↥≼⋛$1929$⊲⩕⊾$4450$)∊∟⩊($1096$⊝⪿⪼$2150$)∺≝⩲$1113$⨔⇊$3402$⪛(∥⊫(⨝⨆$1367$∑⇟⊟$7166$))","expression":"(↥≼⋛⫏≰2122110⊲⩕⊾⫏≰20002211)∊∟⩊(⫏≰1111121⊝⪿⪼⫏≰2221122)∺≝⩲⫏≰1112020⨔⇊⫏≰11200000⪛(∥⊫(⨝⨆⫏≰1212122∑⇟⊟⫏≰100211102))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1486,"operation_count":10,"complexity_ratio":148.6,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1929,"base":3},"right_expr":{"type":"numeric_atoms","value":4450,"base":3}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1096,"base":3},"right_expr":{"type":"numeric_atoms","value":2150,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1113,"base":3},"right_expr":{"type":"numeric_atoms","value":3402,"base":3}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1367,"base":3},"right_expr":{"type":"numeric_atoms","value":7166,"base":3}}}}},"used_operators":["uFcxV4UQCh","ddLRYrp01A","x5lMkHmzsq","DmTXOeWf9t","KPf6cnQVty","3Oe9XWJUTD","JclMnS0uGI","P8v4zCKN1o","bQ67fsrMVf","U7g4x0WXJJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1929","layer":4},{"info":"number node, value=4450","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=4450, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-71994","layer":3},{"info":"compute unary expreesion, input=-71994, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-71961","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=2150, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=26372","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=3402, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3402","layer":3},{"info":"compute binary expreesion, left_input=26372, right_input=3402, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-71961, right_input=160, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=0","layer":1},{"info":"number node, value=1367","layer":4},{"info":"number node, value=7166","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=7166, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↥≼⋛⫏≰2122110⊲⩕⊾⫏≰20002211)∊∟⩊(⫏≰1111121⊝⪿⪼⫏≰2221122)∺≝⩲⫏≰1112020⨔⇊⫏≰11200000⪛(∥⊫(⨝⨆⫏≰1212122∑⇟⊟⫏≰100211102))=NaN","reverse_text":"NaN=(↥≼⋛⫏≰2122110⊲⩕⊾⫏≰20002211)∊∟⩊(⫏≰1111121⊝⪿⪼⫏≰2221122)∺≝⩲⫏≰1112020⨔⇊⫏≰11200000⪛(∥⊫(⨝⨆⫏≰1212122∑⇟⊟⫏≰100211102))","cot":[{"info":"⫏≰2122110⊲⩕⊾⫏≰20002211=⫏≰-10122202110","layer":3},{"info":"↥≼⋛⫏≰-10122202110=⫏≰-10122201020","layer":2},{"info":"⫏≰1111121⊝⪿⪼⫏≰2221122=⫏≰1100011202","layer":3},{"info":"⫏≰1112020⨔⇊⫏≰11200000=⫏≰11200000","layer":3},{"info":"⫏≰1100011202∺≝⩲⫏≰11200000=⫏≰12221","layer":2},{"info":"⫏≰-10122201020∊∟⩊⫏≰12221=⫏≰0","layer":1},{"info":"⫏≰1212122∑⇟⊟⫏≰100211102=NaN","layer":3},{"info":"⨝⨆NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⫏≰0⪛NaN=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"(↽≂($3860$⪨⊡$4027$)≠≀$4765$⋣⋖$1459$)⇂≾⫗(($7938$≋⫹)⫯⪬∳($5834$⩤)⇮⋭($2146$≃$2602$)⪬(⊀$1518$))","expression":"(↽≂(⫏≰12021222⪨⊡⫏≰12112011)≠≀⫏≰20112111⋣⋖⫏≰2000001)⇂≾⫗((⫏≰101220000≋⫹)⫯⪬∳(⫏≰22000002⩤)⇮⋭(⫏≰2221111≃⫏≰10120101)⪬(⊀⫏≰2002020))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":764,"operation_count":12,"complexity_ratio":63.666666666666664,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3860,"base":3},"right_expr":{"type":"numeric_atoms","value":4027,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4765,"base":3},"right_expr":{"type":"numeric_atoms","value":1459,"base":3}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7938,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5834,"base":3}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2146,"base":3},"right_expr":{"type":"numeric_atoms","value":2602,"base":3}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1518,"base":3}}}}},"used_operators":["aBQ6xLxuTc","u6S6b8DprG","IwW236VD4Y","kuIXHzHcAH","J0M6qkBnIM","vkpjKywKVM","d7ASUq0ydm","N41Kp7NANJ","Z2TMIBDE3Q","Ez1Nq5fNfI","YbVcJGFEVW","oPMjh9089D"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⫏≰-220211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3860","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=3860, right_input=4027, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4765","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=4765, right_input=1459, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4765","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4765, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=306","layer":2},{"info":"compute unary expreesion, input=306, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-612","layer":1},{"info":"number node, value=7938","layer":4},{"info":"compute unary expreesion, input=7938, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-15876","layer":3},{"info":"number node, value=5834","layer":4},{"info":"compute unary expreesion, input=5834, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5834","layer":3},{"info":"compute binary expreesion, left_input=-15876, right_input=-5834, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=47155","layer":2},{"info":"number node, value=2146","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=2602, 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=-8624","layer":3},{"info":"number node, value=1518","layer":4},{"info":"compute unary expreesion, input=1518, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5810","layer":3},{"info":"compute binary expreesion, left_input=-8624, right_input=5810, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=47155, right_input=1234, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=-612, right_input=-473, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":0}],"base":3,"result_base":3,"text":"(↽≂(⫏≰12021222⪨⊡⫏≰12112011)≠≀⫏≰20112111⋣⋖⫏≰2000001)⇂≾⫗((⫏≰101220000≋⫹)⫯⪬∳(⫏≰22000002⩤)⇮⋭(⫏≰2221111≃⫏≰10120101)⪬(⊀⫏≰2002020))=⫏≰-220211","reverse_text":"⫏≰-220211=(↽≂(⫏≰12021222⪨⊡⫏≰12112011)≠≀⫏≰20112111⋣⋖⫏≰2000001)⇂≾⫗((⫏≰101220000≋⫹)⫯⪬∳(⫏≰22000002⩤)⇮⋭(⫏≰2221111≃⫏≰10120101)⪬(⊀⫏≰2002020))","cot":[{"info":"⫏≰12021222⪨⊡⫏≰12112011=⫏≰0","layer":3},{"info":"⫏≰20112111⋣⋖⫏≰2000001=⫏≰20112111","layer":3},{"info":"⫏≰0≠≀⫏≰20112111=⫏≰102100","layer":2},{"info":"↽≂⫏≰102100=⫏≰-211200","layer":1},{"info":"⫏≰101220000≋⫹=⫏≰-210210000","layer":3},{"info":"⫏≰22000002⩤=⫏≰-22000002","layer":3},{"info":"⫏≰-210210000⫯⪬∳⫏≰-22000002=⫏≰2101200111","layer":2},{"info":"⫏≰2221111≃⫏≰10120101=⫏≰-102211102","layer":3},{"info":"⊀⫏≰2002020=⫏≰21222012","layer":3},{"info":"⫏≰-102211102⪬⫏≰21222012=⫏≰1200201","layer":2},{"info":"⫏≰2101200111⇮⋭⫏≰1200201=⫏≰-122112","layer":1},{"info":"⫏≰-211200⇂≾⫗⫏≰-122112=⫏≰-220211","layer":0}]}
{"id":258,"expression_no_base_symbol":"(($3037$⨽$3074$)∌↝($3872$≒∊$1047$)⫌⩹⨱)≚⊃≕(⋼∭⪍$1394$⋥⋵⩄$5049$)≹⇙⪍(↩$2272$⇤$2613$)","expression":"((⫏≰11011111⨽⫏≰11012212)∌↝(⫏≰12022102≒∊⫏≰1102210)⫌⩹⨱)≚⊃≕(⋼∭⪍⫏≰1220122⋥⋵⩄⫏≰20221000)≹⇙⪍(↩⫏≰10010011⇤⫏≰10120210)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3172,"operation_count":10,"complexity_ratio":317.2,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3037,"base":3},"right_expr":{"type":"numeric_atoms","value":3074,"base":3}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3872,"base":3},"right_expr":{"type":"numeric_atoms","value":1047,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1394,"base":3},"right_expr":{"type":"numeric_atoms","value":5049,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2272,"base":3},"right_expr":{"type":"numeric_atoms","value":2613,"base":3}}}}},"used_operators":["Bmrmz2XGnR","EBcxylXtPf","9Isq31Ruls","8HhzD0ZcuI","5KTvxBwnZo","AHs5Up7iyr","DbCuESL50I","7t3wd0Fuz7","jLgFTUHLKL","YSKBFp38Pu"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","dWAJyo7jo9","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3037","layer":4},{"info":"number node, value=3074","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=3074, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27678015","layer":3},{"info":"number node, value=3872","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=1047, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3388","layer":3},{"info":"compute binary expreesion, left_input=-27678015, right_input=-3388, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-27678015","layer":2},{"info":"compute unary expreesion, input=-27678015, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-55354629","layer":1},{"info":"number node, value=1394","layer":4},{"info":"number node, value=5049","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=5049, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=1288","layer":2},{"info":"number node, value=2272","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=2613, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-21577","layer":3},{"info":"compute unary expreesion, input=-21577, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=88928","layer":2},{"info":"compute binary expreesion, left_input=1288, right_input=88928, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-55354629, 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":3,"result_base":3,"text":"((⫏≰11011111⨽⫏≰11012212)∌↝(⫏≰12022102≒∊⫏≰1102210)⫌⩹⨱)≚⊃≕(⋼∭⪍⫏≰1220122⋥⋵⩄⫏≰20221000)≹⇙⪍(↩⫏≰10010011⇤⫏≰10120210)=NaN","reverse_text":"NaN=((⫏≰11011111⨽⫏≰11012212)∌↝(⫏≰12022102≒∊⫏≰1102210)⫌⩹⨱)≚⊃≕(⋼∭⪍⫏≰1220122⋥⋵⩄⫏≰20221000)≹⇙⪍(↩⫏≰10010011⇤⫏≰10120210)","cot":[{"info":"⫏≰11011111⨽⫏≰11012212=⫏≰-1221002012002200","layer":3},{"info":"⫏≰12022102≒∊⫏≰1102210=⫏≰-11122111","layer":3},{"info":"⫏≰-1221002012002200∌↝⫏≰-11122111=⫏≰-1221002012002200","layer":2},{"info":"⫏≰-1221002012002200⫌⩹⨱=⫏≰-10212011022021110","layer":1},{"info":"⫏≰1220122⋥⋵⩄⫏≰20221000=⫏≰11012","layer":3},{"info":"⋼∭⪍⫏≰11012=⫏≰1202201","layer":2},{"info":"⫏≰10010011⇤⫏≰10120210=⫏≰-1002121011","layer":3},{"info":"↩⫏≰-1002121011=⫏≰11111222122","layer":2},{"info":"⫏≰1202201≹⇙⪍⫏≰11111222122=NaN","layer":1},{"info":"⫏≰-10212011022021110≚⊃≕NaN=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"(≉($6297$⪉⨛$1675$)⇡⇂($3413$⨑⩅≇$4332$))⪡($4990$+⇶⊼$2214$+$5051$⫯⪬∳$5445$)⨓(⊀(⪡⇡≛$1007$))","expression":"(≉(⫏≰22122020⪉⨛⫏≰2022001)⇡⇂(⫏≰11200102⨑⩅≇⫏≰12221110))⪡(⫏≰20211211+⇶⊼⫏≰10001000+⫏≰20221002⫯⪬∳⫏≰21110200)⨓(⊀(⪡⇡≛⫏≰1101022))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":94062,"operation_count":11,"complexity_ratio":8551.09090909091,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6297,"base":3},"right_expr":{"type":"numeric_atoms","value":1675,"base":3}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3413,"base":3},"right_expr":{"type":"numeric_atoms","value":4332,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4990,"base":3},"right_expr":{"type":"numeric_atoms","value":2214,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":5051,"base":3},"right_expr":{"type":"numeric_atoms","value":5445,"base":3}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1007,"base":3}}}}},"used_operators":["oraRL2iQuh","e1ybzncUwg","UMwdvZNt44","EWw2JM7wp4","h92wMvzauj","3ViojmjbAp","W4YGzv6Whe","TpPTUOHfaN","d7ASUq0ydm","oPMjh9089D","qL4PrbW1Dq"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6297","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=6297, right_input=1675, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=17431","layer":3},{"info":"number node, value=3413","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=4332, 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=-10239","layer":3},{"info":"compute binary expreesion, left_input=17431, right_input=-10239, 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":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=4990","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=4990, right_input=2214, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5051","layer":4},{"info":"number node, value=5445","layer":4},{"info":"compute binary expreesion, left_input=5051, right_input=5445, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=19843","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19843, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1007","layer":3},{"info":"compute unary expreesion, input=-1007, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=15888","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15888, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-15891","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15891, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≉(⫏≰22122020⪉⨛⫏≰2022001)⇡⇂(⫏≰11200102⨑⩅≇⫏≰12221110))⪡(⫏≰20211211+⇶⊼⫏≰10001000+⫏≰20221002⫯⪬∳⫏≰21110200)⨓(⊀(⪡⇡≛⫏≰1101022))=NaN","reverse_text":"NaN=(≉(⫏≰22122020⪉⨛⫏≰2022001)⇡⇂(⫏≰11200102⨑⩅≇⫏≰12221110))⪡(⫏≰20211211+⇶⊼⫏≰10001000+⫏≰20221002⫯⪬∳⫏≰21110200)⨓(⊀(⪡⇡≛⫏≰1101022))","cot":[{"info":"⫏≰22122020⪉⨛⫏≰2022001=⫏≰212220121","layer":3},{"info":"⫏≰11200102⨑⩅≇⫏≰12221110=⫏≰-112001020","layer":3},{"info":"⫏≰212220121⇡⇂⫏≰-112001020=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫏≰20211211+⇶⊼⫏≰10001000=NaN","layer":3},{"info":"⫏≰20221002⫯⪬∳⫏≰21110200=⫏≰1000012221","layer":3},{"info":"NaN+⫏≰1000012221=NaN","layer":2},{"info":"⪡⇡≛⫏≰1101022=⫏≰-1101022","layer":3},{"info":"⊀⫏≰-1101022=⫏≰210210110","layer":2},{"info":"NaN⨓⫏≰210210110=⫏≰-210210120","layer":1},{"info":"NaN⪡⫏≰-210210120=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"($4455$⨔⇊$1733$⩼⇪↪(≔$1545$)⪭≯($3005$⇌⫙⪟$3886$⨑≵⋬$2413$⊢$8054$))⇴∐(⩰$4823$⋥≓≎$3482$)↹⊜(⫟$2266$)⊮⊟↴($2683$∕⩚$4174$)","expression":"(⫏≰20010000⨔⇊⫏≰2101012⩼⇪↪(≔⫏≰2010020)⪭≯(⫏≰11010022⇌⫙⪟⫏≰12022221⨑≵⋬⫏≰10022101⊢⫏≰102001022))⇴∐(⩰⫏≰20121122⋥≓≎⫏≰11202222)↹⊜(⫟⫏≰10002221)⊮⊟↴(⫏≰10200101∕⩚⫏≰12201121)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3133,"operation_count":14,"complexity_ratio":223.78571428571428,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4455,"base":3},"right_expr":{"type":"numeric_atoms","value":1733,"base":3}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1545,"base":3}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3005,"base":3},"right_expr":{"type":"numeric_atoms","value":3886,"base":3}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2413,"base":3},"right_expr":{"type":"numeric_atoms","value":8054,"base":3}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4823,"base":3},"right_expr":{"type":"numeric_atoms","value":3482,"base":3}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2266,"base":3}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2683,"base":3},"right_expr":{"type":"numeric_atoms","value":4174,"base":3}}}}},"used_operators":["HnzytWxmAO","XAx5wpdLa6","ocnLzx9CaJ","JclMnS0uGI","8FLs4eVsLt","XnXgA4xnOs","AFVx7xoS7T","5twsqlHp2o","9bazX3JMtO","WkeUrDK8WX","Qy55tPpLXF","QDVgd2eftb","z4E1FaHLuy","z9ffQ9n5Zr"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4455","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=4455, right_input=1733, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1733","layer":3},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-41966","layer":3},{"info":"compute binary expreesion, left_input=1733, right_input=-41966, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=296445","layer":2},{"info":"number node, value=3005","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=3886, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2413","layer":4},{"info":"number node, value=8054","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=8054, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5070","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-5070, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=48606","layer":2},{"info":"compute binary expreesion, left_input=296445, right_input=48606, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=4823","layer":4},{"info":"number node, value=3482","layer":4},{"info":"compute binary expreesion, left_input=4823, right_input=3482, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2174","layer":3},{"info":"compute unary expreesion, input=2174, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3174","layer":2},{"info":"number node, value=2266","layer":4},{"info":"compute unary expreesion, input=2266, 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=-5891","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=4174","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=4174, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2686","layer":3},{"info":"compute binary expreesion, left_input=-5891, right_input=-2686, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=53957","layer":2},{"info":"compute binary expreesion, left_input=-3174, right_input=53957, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-431752","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-431752, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20010000⨔⇊⫏≰2101012⩼⇪↪(≔⫏≰2010020)⪭≯(⫏≰11010022⇌⫙⪟⫏≰12022221⨑≵⋬⫏≰10022101⊢⫏≰102001022))⇴∐(⩰⫏≰20121122⋥≓≎⫏≰11202222)↹⊜(⫟⫏≰10002221)⊮⊟↴(⫏≰10200101∕⩚⫏≰12201121)=NaN","reverse_text":"NaN=(⫏≰20010000⨔⇊⫏≰2101012⩼⇪↪(≔⫏≰2010020)⪭≯(⫏≰11010022⇌⫙⪟⫏≰12022221⨑≵⋬⫏≰10022101⊢⫏≰102001022))⇴∐(⩰⫏≰20121122⋥≓≎⫏≰11202222)↹⊜(⫟⫏≰10002221)⊮⊟↴(⫏≰10200101∕⩚⫏≰12201121)","cot":[{"info":"⫏≰20010000⨔⇊⫏≰2101012=⫏≰2101012","layer":3},{"info":"≔⫏≰2010020=⫏≰-2010120022","layer":3},{"info":"⫏≰2101012⩼⇪↪⫏≰-2010120022=⫏≰120001122110","layer":2},{"info":"⫏≰11010022⇌⫙⪟⫏≰12022221=⫏≰11012","layer":3},{"info":"⫏≰10022101⊢⫏≰102001022=⫏≰-20221210","layer":3},{"info":"⫏≰11012⨑≵⋬⫏≰-20221210=⫏≰2110200020","layer":2},{"info":"⫏≰120001122110⪭≯⫏≰2110200020=NaN","layer":1},{"info":"⫏≰20121122⋥≓≎⫏≰11202222=⫏≰2222112","layer":3},{"info":"⩰⫏≰2222112=⫏≰-11100120","layer":2},{"info":"⫟⫏≰10002221=⫏≰-22002012","layer":3},{"info":"⫏≰10200101∕⩚⫏≰12201121=⫏≰-10200111","layer":3},{"info":"⫏≰-22002012⊮⊟↴⫏≰-10200111=⫏≰2202000102","layer":2},{"info":"⫏≰-11100120↹⊜⫏≰2202000102=⫏≰-210221020211","layer":1},{"info":"NaN⇴∐⫏≰-210221020211=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"($2693$∪⫐$5069$⋷$1042$⊨$6546$)⩘($4649$⇂≾⫗$4920$+⇶⊼$3220$∌↝$6237$)⇴∐((⊙↵-($2030$∼$5592$))⪁($4057$⨚⇆$1511$)⇻⋧≁($4468$⫡⨏$3145$))","expression":"(⫏≰10200202∪⫐⫏≰20221202⋷⫏≰1102121⊨⫏≰22222110)⩘(⫏≰20101012⇂≾⫗⫏≰20202020+⇶⊼⫏≰11102021∌↝⫏≰22120000)⇴∐((⊙↵-(⫏≰2210012∼⫏≰21200010))⪁(⫏≰12120021⨚⇆⫏≰2001222)⇻⋧≁(⫏≰20010111⫡⨏⫏≰11022111))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28937,"operation_count":14,"complexity_ratio":2066.9285714285716,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2693,"base":3},"right_expr":{"type":"numeric_atoms","value":5069,"base":3}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1042,"base":3},"right_expr":{"type":"numeric_atoms","value":6546,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4649,"base":3},"right_expr":{"type":"numeric_atoms","value":4920,"base":3}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3220,"base":3},"right_expr":{"type":"numeric_atoms","value":6237,"base":3}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2030,"base":3},"right_expr":{"type":"numeric_atoms","value":5592,"base":3}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4057,"base":3},"right_expr":{"type":"numeric_atoms","value":1511,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4468,"base":3},"right_expr":{"type":"numeric_atoms","value":3145,"base":3}}}}},"used_operators":["HnzytWxmAO","cHh1gJQ2o6","23Mk6UjR3U","7YooWSwCyH","vg4gO5BX6G","TpPTUOHfaN","aBQ6xLxuTc","9Isq31Ruls","I7sXao9hZE","oWn0xqSxBt","DyGG3AbaNP","jCPkEVoL5K","lwHaAYXP2r","QMFrweE19q"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","AHs5Up7iyr","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-22101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2693","layer":4},{"info":"number node, value=5069","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=5069, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2693","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=6546","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=6546, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5199","layer":3},{"info":"compute binary expreesion, left_input=2693, right_input=5199, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7705","layer":2},{"info":"number node, value=4649","layer":4},{"info":"number node, value=4920","layer":4},{"info":"compute binary expreesion, left_input=4649, right_input=4920, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=3220","layer":4},{"info":"number node, value=6237","layer":4},{"info":"compute binary expreesion, left_input=3220, right_input=6237, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=7705, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=2030","layer":4},{"info":"number node, value=5592","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=5592, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=4057","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=4057, right_input=1511, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=4468","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=4468, right_input=3145, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29413","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=29413, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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 = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-226","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10200202∪⫐⫏≰20221202⋷⫏≰1102121⊨⫏≰22222110)⩘(⫏≰20101012⇂≾⫗⫏≰20202020+⇶⊼⫏≰11102021∌↝⫏≰22120000)⇴∐((⊙↵-(⫏≰2210012∼⫏≰21200010))⪁(⫏≰12120021⨚⇆⫏≰2001222)⇻⋧≁(⫏≰20010111⫡⨏⫏≰11022111))=⫏≰-22101","reverse_text":"⫏≰-22101=(⫏≰10200202∪⫐⫏≰20221202⋷⫏≰1102121⊨⫏≰22222110)⩘(⫏≰20101012⇂≾⫗⫏≰20202020+⇶⊼⫏≰11102021∌↝⫏≰22120000)⇴∐((⊙↵-(⫏≰2210012∼⫏≰21200010))⪁(⫏≰12120021⨚⇆⫏≰2001222)⇻⋧≁(⫏≰20010111⫡⨏⫏≰11022111))","cot":[{"info":"⫏≰10200202∪⫐⫏≰20221202=⫏≰10200202","layer":3},{"info":"⫏≰1102121⊨⫏≰22222110=⫏≰21010120","layer":3},{"info":"⫏≰10200202⋷⫏≰21010120=⫏≰101120101","layer":2},{"info":"⫏≰20101012⇂≾⫗⫏≰20202020=⫏≰-221001","layer":3},{"info":"⫏≰11102021∌↝⫏≰22120000=⫏≰0","layer":3},{"info":"⫏≰-221001+⇶⊼⫏≰0=⫏≰0","layer":2},{"info":"⫏≰101120101⩘⫏≰0=⫏≰12221","layer":1},{"info":"⫏≰2210012∼⫏≰21200010=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫏≰12120021⨚⇆⫏≰2001222=NaN","layer":3},{"info":"⫏≰20010111⫡⨏⫏≰11022111=⫏≰1111100101","layer":3},{"info":"NaN⇻⋧≁⫏≰1111100101=NaN","layer":2},{"info":"NaN⪁NaN=NaN","layer":1},{"info":"⫏≰12221⇴∐NaN=⫏≰-22101","layer":0}]}
{"id":262,"expression_no_base_symbol":"($1164$⪨⊡$1182$)⩣⫁∢$4152$⋹⋡⊁$3999$⩼⇪↪(($1613$⋳⪒$1464$)⨚⇆($1802$≬⇓$1555$))∠⫱($1981$⩘$3509$⫭)⇌⫙⪟((↑$1054$)⋻⩜⩜($6264$⊝))","expression":"(⫏≰1121010⪨⊡⫏≰1121210)⩣⫁∢⫏≰12200210⋹⋡⊁⫏≰12111010⩼⇪↪((⫏≰2012202⋳⪒⫏≰2000020)⨚⇆(⫏≰2110202≬⇓⫏≰2010121))∠⫱(⫏≰2201101⩘⫏≰11210222⫭)⇌⫙⪟((↑⫏≰1110001)⋻⩜⩜(⫏≰22121000⊝))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":73212,"operation_count":14,"complexity_ratio":5229.428571428572,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1164,"base":3},"right_expr":{"type":"numeric_atoms","value":1182,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4152,"base":3},"right_expr":{"type":"numeric_atoms","value":3999,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1613,"base":3},"right_expr":{"type":"numeric_atoms","value":1464,"base":3}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1802,"base":3},"right_expr":{"type":"numeric_atoms","value":1555,"base":3}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1981,"base":3},"right_expr":{"type":"numeric_atoms","value":3509,"base":3}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1054,"base":3}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":6264,"base":3}}}}},"used_operators":["QvoQhV0rrE","ocnLzx9CaJ","JDUIKTTSIa","kuIXHzHcAH","As8RqfVLgs","lwHaAYXP2r","12rbrZMWeM","jWTQ2TZYIH","AFVx7xoS7T","t4WUHVGj7f","cHh1gJQ2o6","oDCm7WA9JY","tR7O2zTn5j","O6EZ0fifGK"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1164","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=1182, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4152","layer":4},{"info":"number node, value=3999","layer":4},{"info":"compute binary expreesion, left_input=4152, right_input=3999, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4749","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4749, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":2},{"info":"number node, value=1613","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=1464, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1475","layer":3},{"info":"number node, value=1802","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=1555, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1475, right_input=-22, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=161, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=1981","layer":4},{"info":"number node, value=3509","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=3509, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=721","layer":2},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=6264","layer":4},{"info":"compute unary expreesion, input=6264, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=6264","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=6264, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1156","layer":2},{"info":"compute binary expreesion, left_input=721, right_input=1156, 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 = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1121010⪨⊡⫏≰1121210)⩣⫁∢⫏≰12200210⋹⋡⊁⫏≰12111010⩼⇪↪((⫏≰2012202⋳⪒⫏≰2000020)⨚⇆(⫏≰2110202≬⇓⫏≰2010121))∠⫱(⫏≰2201101⩘⫏≰11210222⫭)⇌⫙⪟((↑⫏≰1110001)⋻⩜⩜(⫏≰22121000⊝))=NaN","reverse_text":"NaN=(⫏≰1121010⪨⊡⫏≰1121210)⩣⫁∢⫏≰12200210⋹⋡⊁⫏≰12111010⩼⇪↪((⫏≰2012202⋳⪒⫏≰2000020)⨚⇆(⫏≰2110202≬⇓⫏≰2010121))∠⫱(⫏≰2201101⩘⫏≰11210222⫭)⇌⫙⪟((↑⫏≰1110001)⋻⩜⩜(⫏≰22121000⊝))","cot":[{"info":"⫏≰1121010⪨⊡⫏≰1121210=⫏≰0","layer":3},{"info":"⫏≰12200210⋹⋡⊁⫏≰12111010=⫏≰20111220","layer":3},{"info":"⫏≰0⩣⫁∢⫏≰20111220=⫏≰12222","layer":2},{"info":"⫏≰2012202⋳⪒⫏≰2000020=⫏≰2000122","layer":3},{"info":"⫏≰2110202≬⇓⫏≰2010121=⫏≰-211","layer":3},{"info":"⫏≰2000122⨚⇆⫏≰-211=NaN","layer":2},{"info":"⫏≰12222⩼⇪↪NaN=NaN","layer":1},{"info":"⫏≰2201101⩘⫏≰11210222=⫏≰12221","layer":3},{"info":"⫏≰12221⫭=⫏≰222201","layer":2},{"info":"↑⫏≰1110001=⫏≰21010","layer":3},{"info":"⫏≰22121000⊝=⫏≰22121000","layer":3},{"info":"⫏≰21010⋻⩜⩜⫏≰22121000=⫏≰1120211","layer":2},{"info":"⫏≰222201⇌⫙⪟⫏≰1120211=⫏≰11012","layer":1},{"info":"NaN∠⫱⫏≰11012=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"((($6302$⫸⊐$8864$)⪘⫢($3527$⊹∫⫚$4765$))⊬⨰(⊈$3034$)⪎↠$2096$⨸$4412$)⪟⇏(⇙⪊(↨⩢⫨$1393$)⫯⪬∳($2808$⩨$1001$))","expression":"(((⫏≰22122102⫸⊐⫏≰110011022)⪘⫢(⫏≰11211122⊹∫⫚⫏≰20112111))⊬⨰(⊈⫏≰11011101)⪎↠⫏≰2212122⨸⫏≰20001102)⪟⇏(⇙⪊(↨⩢⫨⫏≰1220121)⫯⪬∳(⫏≰10212000⩨⫏≰1101002))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2436,"operation_count":12,"complexity_ratio":203.0,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6302,"base":3},"right_expr":{"type":"numeric_atoms","value":8864,"base":3}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3527,"base":3},"right_expr":{"type":"numeric_atoms","value":4765,"base":3}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3034,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2096,"base":3},"right_expr":{"type":"numeric_atoms","value":4412,"base":3}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1393,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2808,"base":3},"right_expr":{"type":"numeric_atoms","value":1001,"base":3}}}}},"used_operators":["GODebY97qR","s3Fd5m9Dh2","oacrs7FA3X","mqXw5SEYmG","uWAJUKEvyW","3tVxb0NHM4","RHru8klgy8","KmoU8R5UQR","pB6Fcnrjim","d7ASUq0ydm","Z5CJsN7DuW","2DlMacCsIx"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","12rbrZMWeM","xUOZtlo3hN","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6302","layer":4},{"info":"number node, value=8864","layer":4},{"info":"compute binary expreesion, left_input=6302, right_input=8864, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=35331","layer":3},{"info":"number node, value=3527","layer":4},{"info":"number node, value=4765","layer":4},{"info":"compute binary expreesion, left_input=3527, right_input=4765, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-344","layer":3},{"info":"compute binary expreesion, left_input=35331, right_input=-344, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=3034","layer":4},{"info":"compute unary expreesion, input=3034, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3208","layer":3},{"info":"number node, value=2096","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=4412, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4192","layer":3},{"info":"compute binary expreesion, left_input=-3208, right_input=4192, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-55, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-220","layer":1},{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=2808","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=2808, right_input=1001, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-220, right_input=0, 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":3,"result_base":3,"text":"(((⫏≰22122102⫸⊐⫏≰110011022)⪘⫢(⫏≰11211122⊹∫⫚⫏≰20112111))⊬⨰(⊈⫏≰11011101)⪎↠⫏≰2212122⨸⫏≰20001102)⪟⇏(⇙⪊(↨⩢⫨⫏≰1220121)⫯⪬∳(⫏≰10212000⩨⫏≰1101002))=⫏≰0","reverse_text":"⫏≰0=(((⫏≰22122102⫸⊐⫏≰110011022)⪘⫢(⫏≰11211122⊹∫⫚⫏≰20112111))⊬⨰(⊈⫏≰11011101)⪎↠⫏≰2212122⨸⫏≰20001102)⪟⇏(⇙⪊(↨⩢⫨⫏≰1220121)⫯⪬∳(⫏≰10212000⩨⫏≰1101002))","cot":[{"info":"⫏≰22122102⫸⊐⫏≰110011022=⫏≰1210110120","layer":3},{"info":"⫏≰11211122⊹∫⫚⫏≰20112111=⫏≰-110202","layer":3},{"info":"⫏≰1210110120⪘⫢⫏≰-110202=⫏≰0","layer":2},{"info":"⊈⫏≰11011101=⫏≰-11101211","layer":3},{"info":"⫏≰2212122⨸⫏≰20001102=⫏≰12202021","layer":3},{"info":"⫏≰-11101211⪎↠⫏≰12202021=⫏≰-2001","layer":2},{"info":"⫏≰0⊬⨰⫏≰-2001=⫏≰-22011","layer":1},{"info":"↨⩢⫨⫏≰1220121=⫏≰0","layer":3},{"info":"⫏≰10212000⩨⫏≰1101002=⫏≰0","layer":3},{"info":"⫏≰0⫯⪬∳⫏≰0=⫏≰-122112","layer":2},{"info":"⇙⪊⫏≰-122112=⫏≰0","layer":1},{"info":"⫏≰-22011⪟⇏⫏≰0=⫏≰0","layer":0}]}
{"id":264,"expression_no_base_symbol":"≻⋜((≤/$1993$⋳⪒$3639$)⪁$5686$⫲≸⪮$3637$⊍⩺⋍$1052$⫌⩉⩟$5445$)","expression":"≻⋜((≤/⫏≰2201211⋳⪒⫏≰11222210)⪁⫏≰21210121⫲≸⪮⫏≰11222201⊍⩺⋍⫏≰1102222⫌⩉⩟⫏≰21110200)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33291,"operation_count":7,"complexity_ratio":4755.857142857143,"tree":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1993,"base":3},"right_expr":{"type":"numeric_atoms","value":3639,"base":3}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5686,"base":3},"right_expr":{"type":"numeric_atoms","value":3637,"base":3}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1052,"base":3},"right_expr":{"type":"numeric_atoms","value":5445,"base":3}}}}},"used_operators":["3tj9sqzovi","I7sXao9hZE","eLAdDNolq6","12rbrZMWeM","OXDGMFPWZM","P3lXMJvFrc","XIIwhv8d0m"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1993","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=3639, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=60","layer":3},{"info":"compute unary expreesion, input=60, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=424","layer":2},{"info":"number node, value=5686","layer":4},{"info":"number node, value=3637","layer":4},{"info":"compute binary expreesion, left_input=5686, right_input=3637, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5686","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=5445","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=5445, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=5686, right_input=-50, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=424, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≻⋜((≤/⫏≰2201211⋳⪒⫏≰11222210)⪁⫏≰21210121⫲≸⪮⫏≰11222201⊍⩺⋍⫏≰1102222⫌⩉⩟⫏≰21110200)=NaN","reverse_text":"NaN=≻⋜((≤/⫏≰2201211⋳⪒⫏≰11222210)⪁⫏≰21210121⫲≸⪮⫏≰11222201⊍⩺⋍⫏≰1102222⫌⩉⩟⫏≰21110200)","cot":[{"info":"⫏≰2201211⋳⪒⫏≰11222210=⫏≰2020","layer":3},{"info":"≤/⫏≰2020=⫏≰120201","layer":2},{"info":"⫏≰21210121⫲≸⪮⫏≰11222201=⫏≰21210121","layer":3},{"info":"⫏≰1102222⫌⩉⩟⫏≰21110200=⫏≰-1212","layer":3},{"info":"⫏≰21210121⊍⩺⋍⫏≰-1212=NaN","layer":2},{"info":"⫏≰120201⪁NaN=NaN","layer":1},{"info":"≻⋜NaN=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"(⊵⊁((⋼∭⪍$3939$)⨔≚≋($1570$+⇶⊼$4097$)))∇⊂⋱(($3778$∛$1335$⪒(⇵⪽$1274$))⊋≦⊧(⫎≠⋺($1781$⋩≍≻)))","expression":"(⊵⊁((⋼∭⪍⫏≰12101220)⨔≚≋(⫏≰2011011+⇶⊼⫏≰12121202)))∇⊂⋱((⫏≰12011221∛⫏≰1211110⪒(⇵⪽⫏≰1202012))⊋≦⊧(⫎≠⋺(⫏≰2102222⋩≍≻)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":174,"operation_count":11,"complexity_ratio":15.818181818181818,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3939,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1570,"base":3},"right_expr":{"type":"numeric_atoms","value":4097,"base":3}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3778,"base":3},"right_expr":{"type":"numeric_atoms","value":1335,"base":3}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1274,"base":3}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1781,"base":3}}}}},"used_operators":["nhYeJWJD5X","AvED76WdY7","Z57zeUYC9z","DbCuESL50I","TpPTUOHfaN","oRDoc9rAEX","f6k1SAg4EE","w2537kitQq","ZGCBLdVRRX","LYeZOJ0nQG","WYd1w68Nbz"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","uBihLCJcMX","k8jYdgA6NY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","U7g4x0WXJJ","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3939","layer":4},{"info":"compute unary expreesion, input=3939, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-14016","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=4097","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=4097, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-14016, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":1},{"info":"number node, value=3778","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=1335, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1781","layer":4},{"info":"compute unary expreesion, input=1781, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-709, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊵⊁((⋼∭⪍⫏≰12101220)⨔≚≋(⫏≰2011011+⇶⊼⫏≰12121202)))∇⊂⋱((⫏≰12011221∛⫏≰1211110⪒(⇵⪽⫏≰1202012))⊋≦⊧(⫎≠⋺(⫏≰2102222⋩≍≻)))=NaN","reverse_text":"NaN=(⊵⊁((⋼∭⪍⫏≰12101220)⨔≚≋(⫏≰2011011+⇶⊼⫏≰12121202)))∇⊂⋱((⫏≰12011221∛⫏≰1211110⪒(⇵⪽⫏≰1202012))⊋≦⊧(⫎≠⋺(⫏≰2102222⋩≍≻)))","cot":[{"info":"⋼∭⪍⫏≰12101220=⫏≰-201020010","layer":3},{"info":"⫏≰2011011+⇶⊼⫏≰12121202=NaN","layer":3},{"info":"⫏≰-201020010⨔≚≋NaN=NaN","layer":2},{"info":"⊵⊁NaN=NaN","layer":1},{"info":"⫏≰12011221∛⫏≰1211110=⫏≰2111","layer":3},{"info":"⇵⪽⫏≰1202012=NaN","layer":3},{"info":"⫏≰2111⪒NaN=NaN","layer":2},{"info":"⫏≰2102222⋩≍≻=⫏≰-2001","layer":3},{"info":"⫎≠⋺⫏≰-2001=⫏≰-222021","layer":2},{"info":"NaN⊋≦⊧⫏≰-222021=NaN","layer":1},{"info":"NaN∇⊂⋱NaN=NaN","layer":0}]}
{"id":266,"expression_no_base_symbol":"($2637$⫯⪬∳$3785$≄⊠$5377$↹⊜$1296$)≦↸($1220$⪉⨛$5340$)≦↸$1259$⨜⨶$1967$↬(($1061$⋓$1800$)⨂≜($3147$⩖⊿$3090$)⫸⇳(⋗⩬⋾$7679$)∛($3273$⨪↰⇹$2676$))","expression":"(⫏≰10121200⫯⪬∳⫏≰12012012≄⊠⫏≰21101011↹⊜⫏≰1210000)≦↸(⫏≰1200012⪉⨛⫏≰21022210)≦↸⫏≰1201122⨜⨶⫏≰2200212↬((⫏≰1110022⋓⫏≰2110200)⨂≜(⫏≰11022120⩖⊿⫏≰11020110)⫸⇳(⋗⩬⋾⫏≰101112102)∛(⫏≰11111020⨪↰⇹⫏≰10200010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3639,"operation_count":15,"complexity_ratio":242.6,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2637,"base":3},"right_expr":{"type":"numeric_atoms","value":3785,"base":3}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5377,"base":3},"right_expr":{"type":"numeric_atoms","value":1296,"base":3}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1220,"base":3},"right_expr":{"type":"numeric_atoms","value":5340,"base":3}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1259,"base":3},"right_expr":{"type":"numeric_atoms","value":1967,"base":3}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1061,"base":3},"right_expr":{"type":"numeric_atoms","value":1800,"base":3}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3147,"base":3},"right_expr":{"type":"numeric_atoms","value":3090,"base":3}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7679,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3273,"base":3},"right_expr":{"type":"numeric_atoms","value":2676,"base":3}}}}},"used_operators":["B5M0gjZbta","RygbFNSyEJ","vXNesLlMH1","d7ASUq0ydm","9bazX3JMtO","EWw2JM7wp4","HiPekx5b7W","gx7XJ7hdpj","k1SHOSEABc","T2fj7uvVaJ","RZ5CV9rWsJ","w2537kitQq","DpFCA1CohY","tmPS8pqC7x"],"dependent_operators":["rGHVDoGpnC","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2637","layer":4},{"info":"number node, value=3785","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=3785, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9433","layer":3},{"info":"number node, value=5377","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=5377, right_input=1296, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5474","layer":3},{"info":"compute binary expreesion, left_input=9433, right_input=5474, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=92252","layer":2},{"info":"number node, value=1220","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=5340, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1465","layer":3},{"info":"number node, value=1259","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1967, 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=-3678","layer":3},{"info":"compute binary expreesion, left_input=-1465, right_input=-3678, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=2146","layer":2},{"info":"compute binary expreesion, left_input=92252, right_input=2146, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-188115","layer":1},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1800, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=3147","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=3090, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=12050","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12050, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=7679","layer":4},{"info":"compute unary expreesion, input=7679, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-23037","layer":3},{"info":"number node, value=3273","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=2676, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3273","layer":3},{"info":"compute binary expreesion, left_input=-23037, right_input=3273, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-188115, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10121200⫯⪬∳⫏≰12012012≄⊠⫏≰21101011↹⊜⫏≰1210000)≦↸(⫏≰1200012⪉⨛⫏≰21022210)≦↸⫏≰1201122⨜⨶⫏≰2200212↬((⫏≰1110022⋓⫏≰2110200)⨂≜(⫏≰11022120⩖⊿⫏≰11020110)⫸⇳(⋗⩬⋾⫏≰101112102)∛(⫏≰11111020⨪↰⇹⫏≰10200010))=NaN","reverse_text":"NaN=(⫏≰10121200⫯⪬∳⫏≰12012012≄⊠⫏≰21101011↹⊜⫏≰1210000)≦↸(⫏≰1200012⪉⨛⫏≰21022210)≦↸⫏≰1201122⨜⨶⫏≰2200212↬((⫏≰1110022⋓⫏≰2110200)⨂≜(⫏≰11022120⩖⊿⫏≰11020110)⫸⇳(⋗⩬⋾⫏≰101112102)∛(⫏≰11111020⨪↰⇹⫏≰10200010))","cot":[{"info":"⫏≰10121200⫯⪬∳⫏≰12012012=⫏≰110221101","layer":3},{"info":"⫏≰21101011↹⊜⫏≰1210000=⫏≰21111202","layer":3},{"info":"⫏≰110221101≄⊠⫏≰21111202=⫏≰11200112202","layer":2},{"info":"⫏≰1200012⪉⨛⫏≰21022210=⫏≰-2000021","layer":3},{"info":"⫏≰1201122⨜⨶⫏≰2200212=⫏≰-12001020","layer":3},{"info":"⫏≰-2000021≦↸⫏≰-12001020=⫏≰2221111","layer":2},{"info":"⫏≰11200112202≦↸⫏≰2221111=⫏≰-100120001020","layer":1},{"info":"⫏≰1110022⋓⫏≰2110200=⫏≰0","layer":3},{"info":"⫏≰11022120⩖⊿⫏≰11020110=⫏≰121112022","layer":3},{"info":"⫏≰0⨂≜⫏≰121112022=NaN","layer":2},{"info":"⋗⩬⋾⫏≰101112102=⫏≰-1011121020","layer":3},{"info":"⫏≰11111020⨪↰⇹⫏≰10200010=⫏≰11111020","layer":3},{"info":"⫏≰-1011121020∛⫏≰11111020=⫏≰-221001","layer":2},{"info":"NaN⫸⇳⫏≰-221001=NaN","layer":1},{"info":"⫏≰-100120001020↬NaN=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"(($5381$⋻⩜⩜$2123$)≭$2190$⪭$9133$⫥∨⫟($2694$+⇶⊼$1784$⫔⩽⩺$9129$⪎↠$1985$))∈","expression":"((⫏≰21101022⋻⩜⩜⫏≰2220122)≭⫏≰10000010⪭⫏≰110112021⫥∨⫟(⫏≰10200210+⇶⊼⫏≰2110002⫔⩽⩺⫏≰110112010⪎↠⫏≰2201112))∈","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":70122,"operation_count":8,"complexity_ratio":8765.25,"tree":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5381,"base":3},"right_expr":{"type":"numeric_atoms","value":2123,"base":3}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2190,"base":3},"right_expr":{"type":"numeric_atoms","value":9133,"base":3}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2694,"base":3},"right_expr":{"type":"numeric_atoms","value":1784,"base":3}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":9129,"base":3},"right_expr":{"type":"numeric_atoms","value":1985,"base":3}}}}},"used_operators":["ztP7wcbY7m","KYD54nUTWz","rxpJgHHUmx","oDCm7WA9JY","j9kHMeSvPp","i9eR4S00cU","TpPTUOHfaN","3tVxb0NHM4"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","COABgblf1C","xUOZtlo3hN","Tw270M8GLb","fu6greOZ01","AHs5Up7iyr","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5381","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=5381, right_input=2123, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10762","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=9133","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=9133, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=10762, right_input=5, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2694","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=1784, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=9129","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=9129, right_input=1985, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21101022⋻⩜⩜⫏≰2220122)≭⫏≰10000010⪭⫏≰110112021⫥∨⫟(⫏≰10200210+⇶⊼⫏≰2110002⫔⩽⩺⫏≰110112010⪎↠⫏≰2201112))∈=NaN","reverse_text":"NaN=((⫏≰21101022⋻⩜⩜⫏≰2220122)≭⫏≰10000010⪭⫏≰110112021⫥∨⫟(⫏≰10200210+⇶⊼⫏≰2110002⫔⩽⩺⫏≰110112010⪎↠⫏≰2201112))∈","cot":[{"info":"⫏≰21101022⋻⩜⩜⫏≰2220122=⫏≰112202121","layer":3},{"info":"⫏≰10000010⪭⫏≰110112021=⫏≰12","layer":3},{"info":"⫏≰112202121≭⫏≰12=NaN","layer":2},{"info":"⫏≰10200210+⇶⊼⫏≰2110002=NaN","layer":3},{"info":"⫏≰110112010⪎↠⫏≰2201112=⫏≰12221","layer":3},{"info":"NaN⫔⩽⩺⫏≰12221=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"NaN∈=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"((($5457$⫡⨏$5713$)⊍⩺⋍($5907$≚⋢))≬⇓(($2257$⋓$1037$)⪗))⪗","expression":"(((⫏≰21111010⫡⨏⫏≰21211121)⊍⩺⋍(⫏≰22002210≚⋢))≬⇓((⫏≰10002121⋓⫏≰1102102)⪗))⪗","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":352,"operation_count":7,"complexity_ratio":50.285714285714285,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5457,"base":3},"right_expr":{"type":"numeric_atoms","value":5713,"base":3}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":5907,"base":3}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2257,"base":3},"right_expr":{"type":"numeric_atoms","value":1037,"base":3}}}}},"used_operators":["VEQNXA0ZBg","jWTQ2TZYIH","OXDGMFPWZM","QMFrweE19q","MahUMFw56D","T2fj7uvVaJ"],"dependent_operators":["dWAJyo7jo9","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5457","layer":4},{"info":"number node, value=5713","layer":4},{"info":"compute binary expreesion, left_input=5457, right_input=5713, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=39494","layer":3},{"info":"number node, value=5907","layer":4},{"info":"compute unary expreesion, input=5907, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=39494, right_input=-89, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=2257","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=1037, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰21111010⫡⨏⫏≰21211121)⊍⩺⋍(⫏≰22002210≚⋢))≬⇓((⫏≰10002121⋓⫏≰1102102)⪗))⪗=NaN","reverse_text":"NaN=(((⫏≰21111010⫡⨏⫏≰21211121)⊍⩺⋍(⫏≰22002210≚⋢))≬⇓((⫏≰10002121⋓⫏≰1102102)⪗))⪗","cot":[{"info":"⫏≰21111010⫡⨏⫏≰21211121=⫏≰2000011202","layer":3},{"info":"⫏≰22002210≚⋢=⫏≰-10022","layer":3},{"info":"⫏≰2000011202⊍⩺⋍⫏≰-10022=NaN","layer":2},{"info":"⫏≰10002121⋓⫏≰1102102=⫏≰0","layer":3},{"info":"⫏≰0⪗=⫏≰0","layer":2},{"info":"NaN≬⇓⫏≰0=⫏≰-211","layer":1},{"info":"⫏≰-211⪗=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"((($1043$⫚↹⊑$2754$)⋝⋈⪟($5638$⊢))⨫⇇↔($3714$⪥$2650$)⇻⋧≁($1702$→⨶⪴$2192$))⨟⋌⩍(((∂⩏⊆$1578$)⇉⇉)⇌⫙⪟($1064$↺$4699$)⫁⪎($6861$⪶≀⋏$1637$))","expression":"(((⫏≰1102122⫚↹⊑⫏≰10210000)⋝⋈⪟(⫏≰21201211⊢))⨫⇇↔(⫏≰12002120⪥⫏≰10122011)⇻⋧≁(⫏≰2100001→⨶⪴⫏≰10000012))⨟⋌⩍(((∂⩏⊆⫏≰2011110)⇉⇉)⇌⫙⪟(⫏≰1110102↺⫏≰20110001)⫁⪎(⫏≰100102010⪶≀⋏⫏≰2020122))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20653,"operation_count":14,"complexity_ratio":1475.2142857142858,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1043,"base":3},"right_expr":{"type":"numeric_atoms","value":2754,"base":3}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":5638,"base":3}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3714,"base":3},"right_expr":{"type":"numeric_atoms","value":2650,"base":3}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1702,"base":3},"right_expr":{"type":"numeric_atoms","value":2192,"base":3}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1578,"base":3}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1064,"base":3},"right_expr":{"type":"numeric_atoms","value":4699,"base":3}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":6861,"base":3},"right_expr":{"type":"numeric_atoms","value":1637,"base":3}}}}},"used_operators":["rGHVDoGpnC","LXhwmt4mBO","2DDjHMKMc0","dfKe02y8D2","40aOVDgCDB","jCPkEVoL5K","QbnwKVWMIQ","bF6eod5Gvf","AFVx7xoS7T","diKm42VcIt","8WDwsbhb0R","xRrnTEsQ6j","7j4O788W3g","zR4jO40bMj"],"dependent_operators":["Tcnh7f0tEr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","NTOWxs364D","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","8w2t5hMYqp","9FxExcQeMw","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=2754","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=2754, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=5638","layer":4},{"info":"compute unary expreesion, input=5638, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-5885","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-5885, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-447","layer":2},{"info":"number node, value=3714","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=3714, right_input=2650, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19508","layer":3},{"info":"number node, value=1702","layer":4},{"info":"number node, value=2192","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=2192, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6576","layer":3},{"info":"compute binary expreesion, left_input=19508, right_input=-6576, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-447, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-4813","layer":3},{"info":"compute unary expreesion, input=-4813, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=54782","layer":2},{"info":"number node, value=1064","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=4699, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4699","layer":3},{"info":"number node, value=6861","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=6861, right_input=1637, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-24089","layer":3},{"info":"compute binary expreesion, left_input=4699, right_input=-24089, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=28788","layer":2},{"info":"compute binary expreesion, left_input=54782, right_input=28788, 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=-527, right_input=113, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":3,"result_base":3,"text":"(((⫏≰1102122⫚↹⊑⫏≰10210000)⋝⋈⪟(⫏≰21201211⊢))⨫⇇↔(⫏≰12002120⪥⫏≰10122011)⇻⋧≁(⫏≰2100001→⨶⪴⫏≰10000012))⨟⋌⩍(((∂⩏⊆⫏≰2011110)⇉⇉)⇌⫙⪟(⫏≰1110102↺⫏≰20110001)⫁⪎(⫏≰100102010⪶≀⋏⫏≰2020122))=⫏≰0","reverse_text":"⫏≰0=(((⫏≰1102122⫚↹⊑⫏≰10210000)⋝⋈⪟(⫏≰21201211⊢))⨫⇇↔(⫏≰12002120⪥⫏≰10122011)⇻⋧≁(⫏≰2100001→⨶⪴⫏≰10000012))⨟⋌⩍(((∂⩏⊆⫏≰2011110)⇉⇉)⇌⫙⪟(⫏≰1110102↺⫏≰20110001)⫁⪎(⫏≰100102010⪶≀⋏⫏≰2020122))","cot":[{"info":"⫏≰1102122⫚↹⊑⫏≰10210000=⫏≰-121120","layer":3},{"info":"⫏≰21201211⊢=⫏≰-22001222","layer":3},{"info":"⫏≰-121120⋝⋈⪟⫏≰-22001222=⫏≰-121120","layer":2},{"info":"⫏≰12002120⪥⫏≰10122011=⫏≰222202112","layer":3},{"info":"⫏≰2100001→⨶⪴⫏≰10000012=⫏≰-100000120","layer":3},{"info":"⫏≰222202112⇻⋧≁⫏≰-100000120=⫏≰-121120","layer":2},{"info":"⫏≰-121120⨫⇇↔⫏≰-121120=⫏≰-201112","layer":1},{"info":"∂⩏⊆⫏≰2011110=⫏≰-20121021","layer":3},{"info":"⫏≰-20121021⇉⇉=⫏≰2210010222","layer":2},{"info":"⫏≰1110102↺⫏≰20110001=⫏≰20110001","layer":3},{"info":"⫏≰100102010⪶≀⋏⫏≰2020122=⫏≰-1020001012","layer":3},{"info":"⫏≰20110001⫁⪎⫏≰-1020001012=⫏≰1110111020","layer":2},{"info":"⫏≰2210010222⇌⫙⪟⫏≰1110111020=⫏≰11012","layer":1},{"info":"⫏≰-201112⨟⋌⩍⫏≰11012=⫏≰0","layer":0}]}
{"id":270,"expression_no_base_symbol":"(⋣$4535$⨽∌$4306$)⫞⩸⩒(⩩($1135$%$6658$))⇌⫙⪟($6183$⫘$1130$⨫⇇↔$3333$⊬⨰$1955$⇆⨓≜)","expression":"(⋣⫏≰20012222⨽∌⫏≰12220111)⫞⩸⩒(⩩(⫏≰1120001%⫏≰100010121))⇌⫙⪟(⫏≰22111000⫘⫏≰1112212⨫⇇↔⫏≰11120110⊬⨰⫏≰2200102⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8754,"operation_count":10,"complexity_ratio":875.4,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4535,"base":3},"right_expr":{"type":"numeric_atoms","value":4306,"base":3}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1135,"base":3},"right_expr":{"type":"numeric_atoms","value":6658,"base":3}}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":6183,"base":3},"right_expr":{"type":"numeric_atoms","value":1130,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3333,"base":3},"right_expr":{"type":"numeric_atoms","value":1955,"base":3}}}}},"used_operators":["AFVx7xoS7T","XGcMNugi78","zQWRhDnn8F","9samAPKr6k","kMhfGuqI2H","k8jYdgA6NY","KvvgdUaMHJ","LXhwmt4mBO","48vC8HMD2b","s3Fd5m9Dh2"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","Uaa54Peajs","KYD54nUTWz","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4535","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=4535, right_input=4306, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=95","layer":2},{"info":"number node, value=1135","layer":4},{"info":"number node, value=6658","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=6658, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1135","layer":3},{"info":"compute unary expreesion, input=1135, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=95, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=95","layer":1},{"info":"number node, value=6183","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=6183, right_input=1130, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7275613","layer":3},{"info":"number node, value=3333","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=1955, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=10097","layer":3},{"info":"compute binary expreesion, left_input=7275613, right_input=10097, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=95, right_input=nan, 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":3,"result_base":3,"text":"(⋣⫏≰20012222⨽∌⫏≰12220111)⫞⩸⩒(⩩(⫏≰1120001%⫏≰100010121))⇌⫙⪟(⫏≰22111000⫘⫏≰1112212⨫⇇↔⫏≰11120110⊬⨰⫏≰2200102⇆⨓≜)=NaN","reverse_text":"NaN=(⋣⫏≰20012222⨽∌⫏≰12220111)⫞⩸⩒(⩩(⫏≰1120001%⫏≰100010121))⇌⫙⪟(⫏≰22111000⫘⫏≰1112212⨫⇇↔⫏≰11120110⊬⨰⫏≰2200102⇆⨓≜)","cot":[{"info":"⫏≰20012222⨽∌⫏≰12220111=⫏≰0","layer":3},{"info":"⋣⫏≰0=⫏≰10112","layer":2},{"info":"⫏≰1120001%⫏≰100010121=⫏≰1120001","layer":3},{"info":"⩩⫏≰1120001=NaN","layer":2},{"info":"⫏≰10112⫞⩸⩒NaN=⫏≰10112","layer":1},{"info":"⫏≰22111000⫘⫏≰1112212=⫏≰111200122021011","layer":3},{"info":"⫏≰11120110⊬⨰⫏≰2200102=⫏≰111211222","layer":3},{"info":"⫏≰111200122021011⨫⇇↔⫏≰111211222=⫏≰-201112","layer":2},{"info":"⫏≰-201112⇆⨓≜=NaN","layer":1},{"info":"⫏≰10112⇌⫙⪟NaN=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"($1581$⩱)⪟⇏($3231$⨼⩣$3105$)⨓(⇈(⋣$1037$))∖(($1816$⫦⪉$3129$)⨭⪣($2914$∷$1648$))⊕∕(($1073$≭$8468$)⪒⊣⊆$1034$↹⊜$2015$)","expression":"(⫏≰2011120⩱)⪟⇏(⫏≰11102200⨼⩣⫏≰11021000)⨓(⇈(⋣⫏≰1102102))∖((⫏≰2111021⫦⪉⫏≰11021220)⨭⪣(⫏≰10222221∷⫏≰2021001))⊕∕((⫏≰1110202≭⫏≰102121122)⪒⊣⊆⫏≰1102022↹⊜⫏≰2202122)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2324,"operation_count":14,"complexity_ratio":166.0,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1581,"base":3}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3231,"base":3},"right_expr":{"type":"numeric_atoms","value":3105,"base":3}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1037,"base":3}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1816,"base":3},"right_expr":{"type":"numeric_atoms","value":3129,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2914,"base":3},"right_expr":{"type":"numeric_atoms","value":1648,"base":3}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1073,"base":3},"right_expr":{"type":"numeric_atoms","value":8468,"base":3}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1034,"base":3},"right_expr":{"type":"numeric_atoms","value":2015,"base":3}}}}},"used_operators":["tXD093vOjl","3ViojmjbAp","GODebY97qR","uyq1hVkAcj","JxwMv5le6e","SLLxy00UIr","zQWRhDnn8F","9cloC0Ngie","kn8WO9XteQ","wscyQdcy20","D3AQDKkPcf","eRqsBgTDFp","rxpJgHHUmx","9bazX3JMtO"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sdazOOVcIp","W4YGzv6Whe","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-9736","layer":3},{"info":"number node, value=3231","layer":4},{"info":"number node, value=3105","layer":4},{"info":"compute binary expreesion, left_input=3231, right_input=3105, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9736, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-304783","layer":3},{"info":"compute unary expreesion, input=-304783, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-450","layer":1},{"info":"number node, value=1816","layer":4},{"info":"number node, value=3129","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=3129, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1268","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=1648, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1648","layer":3},{"info":"compute binary expreesion, left_input=1268, right_input=1648, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-11","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=8468","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=8468, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2015, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6088","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6088, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-11, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-11","layer":1},{"info":"compute binary expreesion, left_input=-450, right_input=-11, 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":3,"result_base":3,"text":"(⫏≰2011120⩱)⪟⇏(⫏≰11102200⨼⩣⫏≰11021000)⨓(⇈(⋣⫏≰1102102))∖((⫏≰2111021⫦⪉⫏≰11021220)⨭⪣(⫏≰10222221∷⫏≰2021001))⊕∕((⫏≰1110202≭⫏≰102121122)⪒⊣⊆⫏≰1102022↹⊜⫏≰2202122)=⫏≰0","reverse_text":"⫏≰0=(⫏≰2011120⩱)⪟⇏(⫏≰11102200⨼⩣⫏≰11021000)⨓(⇈(⋣⫏≰1102102))∖((⫏≰2111021⫦⪉⫏≰11021220)⨭⪣(⫏≰10222221∷⫏≰2021001))⊕∕((⫏≰1110202≭⫏≰102121122)⪒⊣⊆⫏≰1102022↹⊜⫏≰2202122)","cot":[{"info":"⫏≰2011120⩱=⫏≰-111100121","layer":3},{"info":"⫏≰11102200⨼⩣⫏≰11021000=NaN","layer":3},{"info":"⫏≰-111100121⪟⇏NaN=⫏≰0","layer":2},{"info":"⋣⫏≰1102102=⫏≰-120111002021","layer":3},{"info":"⇈⫏≰-120111002021=⫏≰-121120","layer":2},{"info":"⫏≰0⨓⫏≰-121120=⫏≰-121200","layer":1},{"info":"⫏≰2111021⫦⪉⫏≰11021220=⫏≰1201222","layer":3},{"info":"⫏≰10222221∷⫏≰2021001=⫏≰2021001","layer":3},{"info":"⫏≰1201222⨭⪣⫏≰2021001=⫏≰-102","layer":2},{"info":"⫏≰1110202≭⫏≰102121122=NaN","layer":3},{"info":"⫏≰1102022↹⊜⫏≰2202122=⫏≰-22100111","layer":3},{"info":"NaN⪒⊣⊆⫏≰-22100111=NaN","layer":2},{"info":"⫏≰-102⊕∕NaN=⫏≰-102","layer":1},{"info":"⫏≰-121200∖⫏≰-102=⫏≰0","layer":0}]}
{"id":272,"expression_no_base_symbol":"≅≯⇸(($6870$⊓⋫)⋭≵(⨮↦↱$3636$)⪁(⇖(⪹$4926$)))","expression":"≅≯⇸((⫏≰100102110⊓⋫)⋭≵(⨮↦↱⫏≰11222200)⪁(⇖(⪹⫏≰20202110)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":504437,"operation_count":7,"complexity_ratio":72062.42857142857,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":6870,"base":3}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3636,"base":3}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4926,"base":3}}}}},"used_operators":["apS25hmuAe","I7sXao9hZE","jBncVCNhdl","IqGBaFP0uj","sYcpBQ0cFf","tfWHHpNKUN","USyYr0JgAa"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","2DQ55sFlQl","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6870","layer":4},{"info":"compute unary expreesion, input=6870, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-6998","layer":3},{"info":"number node, value=3636","layer":4},{"info":"compute unary expreesion, input=3636, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-29653074","layer":3},{"info":"compute binary expreesion, left_input=-6998, right_input=-29653074, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=4926","layer":4},{"info":"compute unary expreesion, input=4926, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-4746","layer":3},{"info":"compute unary expreesion, input=-4746, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢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":3,"result_base":3,"text":"≅≯⇸((⫏≰100102110⊓⋫)⋭≵(⨮↦↱⫏≰11222200)⪁(⇖(⪹⫏≰20202110)))=NaN","reverse_text":"NaN=≅≯⇸((⫏≰100102110⊓⋫)⋭≵(⨮↦↱⫏≰11222200)⪁(⇖(⪹⫏≰20202110)))","cot":[{"info":"⫏≰100102110⊓⋫=⫏≰-100121012","layer":3},{"info":"⨮↦↱⫏≰11222200=⫏≰-2001210112101000","layer":3},{"info":"⫏≰-100121012⋭≵⫏≰-2001210112101000=⫏≰2111","layer":2},{"info":"⪹⫏≰20202110=⫏≰-20111210","layer":3},{"info":"⇖⫏≰-20111210=⫏≰12221","layer":2},{"info":"⫏≰2111⪁⫏≰12221=NaN","layer":1},{"info":"≅≯⇸NaN=NaN","layer":0}]}
{"id":273,"expression_no_base_symbol":"(⇖(≤/(↽≂$1233$)))⨪↰⇹(($4942$⪒$1985$)⪛$3994$≎⪠$5928$⇣⩺⋵(⪓⩚$5925$)∇⊂⋱(⪸$3257$))","expression":"(⇖(≤/(↽≂⫏≰1200200)))⨪↰⇹((⫏≰20210001⪒⫏≰2201112)⪛⫏≰12110221≎⪠⫏≰22010120⇣⩺⋵(⪓⩚⫏≰22010110)∇⊂⋱(⪸⫏≰11110122))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22741,"operation_count":11,"complexity_ratio":2067.3636363636365,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1233,"base":3}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4942,"base":3},"right_expr":{"type":"numeric_atoms","value":1985,"base":3}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3994,"base":3},"right_expr":{"type":"numeric_atoms","value":5928,"base":3}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":5925,"base":3}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":3257,"base":3}}}}},"used_operators":["tmPS8pqC7x","tfWHHpNKUN","eLAdDNolq6","u6S6b8DprG","F4yD0voBRQ","uFcxV4UQCh","f6k1SAg4EE","aNhz54LH3e","nhYeJWJD5X","u0R0Locfp2","86A5ENbKR9"],"dependent_operators":["rJVOvQCfKK","2DQ55sFlQl","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2466","layer":3},{"info":"compute unary expreesion, input=-2466, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2950","layer":2},{"info":"compute unary expreesion, input=2950, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=4942","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=4942, right_input=1985, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6927","layer":3},{"info":"number node, value=3994","layer":4},{"info":"number node, value=5928","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=5928, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-6927, right_input=19558, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=12631","layer":2},{"info":"number node, value=5925","layer":4},{"info":"compute unary expreesion, input=5925, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=3257","layer":4},{"info":"compute unary expreesion, input=3257, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-55160","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=-55160, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=306","layer":2},{"info":"compute binary expreesion, left_input=12631, right_input=306, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-260, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":0}],"base":3,"result_base":3,"text":"(⇖(≤/(↽≂⫏≰1200200)))⨪↰⇹((⫏≰20210001⪒⫏≰2201112)⪛⫏≰12110221≎⪠⫏≰22010120⇣⩺⋵(⪓⩚⫏≰22010110)∇⊂⋱(⪸⫏≰11110122))=⫏≰12221","reverse_text":"⫏≰12221=(⇖(≤/(↽≂⫏≰1200200)))⨪↰⇹((⫏≰20210001⪒⫏≰2201112)⪛⫏≰12110221≎⪠⫏≰22010120⇣⩺⋵(⪓⩚⫏≰22010110)∇⊂⋱(⪸⫏≰11110122))","cot":[{"info":"↽≂⫏≰1200200=⫏≰-10101100","layer":3},{"info":"≤/⫏≰-10101100=⫏≰11001021","layer":2},{"info":"⇖⫏≰11001021=⫏≰12221","layer":1},{"info":"⫏≰20210001⪒⫏≰2201112=⫏≰-100111120","layer":3},{"info":"⫏≰12110221≎⪠⫏≰22010120=⫏≰222211101","layer":3},{"info":"⫏≰-100111120⪛⫏≰222211101=⫏≰122022211","layer":2},{"info":"⪓⩚⫏≰22010110=⫏≰120210","layer":3},{"info":"⪸⫏≰11110122=⫏≰-2210122222","layer":3},{"info":"⫏≰120210∇⊂⋱⫏≰-2210122222=⫏≰102100","layer":2},{"info":"⫏≰122022211⇣⩺⋵⫏≰102100=⫏≰-100122","layer":1},{"info":"⫏≰12221⨪↰⇹⫏≰-100122=⫏≰12221","layer":0}]}
{"id":274,"expression_no_base_symbol":"($1685$≁$3036$⋥⋵⩄($1005$⩘$1268$))↓(⩷⨜⫀($3149$⪡$1359$))⪛((↪⫪⫘($3943$⇮⋭$6850$))⪭≯(⇾⩊⇾($3612$⫸⇳$1935$)))","expression":"(⫏≰2022102≁⫏≰11011110⋥⋵⩄(⫏≰1101020⩘⫏≰1201222))↓(⩷⨜⫀(⫏≰11022122⪡⫏≰1212100))⪛((↪⫪⫘(⫏≰12102001⇮⋭⫏≰100101201))⪭≯(⇾⩊⇾(⫏≰11221210⫸⇳⫏≰2122200)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3146,"operation_count":12,"complexity_ratio":262.1666666666667,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1685,"base":3},"right_expr":{"type":"numeric_atoms","value":3036,"base":3}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1005,"base":3},"right_expr":{"type":"numeric_atoms","value":1268,"base":3}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3149,"base":3},"right_expr":{"type":"numeric_atoms","value":1359,"base":3}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3943,"base":3},"right_expr":{"type":"numeric_atoms","value":6850,"base":3}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3612,"base":3},"right_expr":{"type":"numeric_atoms","value":1935,"base":3}}}}},"used_operators":["uFcxV4UQCh","Af076pWI7l","7t3wd0Fuz7","8N2wDY1A35","cHh1gJQ2o6","CDi0ktkjQ4","oraRL2iQuh","XAx5wpdLa6","9dWsAM3GFt","vkpjKywKVM","bx9Z9DAK5y","gx7XJ7hdpj"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","ruOEQAzv1W","nhYeJWJD5X","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1685","layer":4},{"info":"number node, value=3036","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=3036, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=59663","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1268, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=59663, right_input=160, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=3149","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=3149, right_input=1359, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=166","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=166, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=8116","layer":1},{"info":"number node, value=3943","layer":4},{"info":"number node, value=6850","layer":4},{"info":"compute binary expreesion, left_input=3943, right_input=6850, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=3612","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=1935, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-6486","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-6486, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8116, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2022102≁⫏≰11011110⋥⋵⩄(⫏≰1101020⩘⫏≰1201222))↓(⩷⨜⫀(⫏≰11022122⪡⫏≰1212100))⪛((↪⫪⫘(⫏≰12102001⇮⋭⫏≰100101201))⪭≯(⇾⩊⇾(⫏≰11221210⫸⇳⫏≰2122200)))=NaN","reverse_text":"NaN=(⫏≰2022102≁⫏≰11011110⋥⋵⩄(⫏≰1101020⩘⫏≰1201222))↓(⩷⨜⫀(⫏≰11022122⪡⫏≰1212100))⪛((↪⫪⫘(⫏≰12102001⇮⋭⫏≰100101201))⪭≯(⇾⩊⇾(⫏≰11221210⫸⇳⫏≰2122200)))","cot":[{"info":"⫏≰2022102≁⫏≰11011110=⫏≰10000211202","layer":3},{"info":"⫏≰1101020⩘⫏≰1201222=⫏≰12221","layer":3},{"info":"⫏≰10000211202⋥⋵⩄⫏≰12221=⫏≰11012","layer":2},{"info":"⫏≰11022122⪡⫏≰1212100=⫏≰10222","layer":3},{"info":"⩷⨜⫀⫏≰10222=⫏≰20011","layer":2},{"info":"⫏≰11012↓⫏≰20011=⫏≰102010121","layer":1},{"info":"⫏≰12102001⇮⋭⫏≰100101201=⫏≰-122112","layer":3},{"info":"↪⫪⫘⫏≰-122112=⫏≰202","layer":2},{"info":"⫏≰11221210⫸⇳⫏≰2122200=⫏≰0","layer":3},{"info":"⇾⩊⇾⫏≰0=⫏≰-22220020","layer":2},{"info":"⫏≰202⪭≯⫏≰-22220020=NaN","layer":1},{"info":"⫏≰102010121⪛NaN=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"((($3670$⇗⋫)⨓($5566$⫌⩉⩟$2066$))⊉↱≁($1048$⫲)⇤($1978$⊜))∴((⨵(⪓⩚$4229$))⨉)","expression":"(((⫏≰12000221⇗⋫)⨓(⫏≰21122011⫌⩉⩟⫏≰2211112))⊉↱≁(⫏≰1102211⫲)⇤(⫏≰2201021⊜))∴((⨵(⪓⩚⫏≰12210122))⨉)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18577,"operation_count":11,"complexity_ratio":1688.8181818181818,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":3670,"base":3}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5566,"base":3},"right_expr":{"type":"numeric_atoms","value":2066,"base":3}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1048,"base":3}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1978,"base":3}}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":4229,"base":3}}}}},"used_operators":["hrf7POJlIJ","w2P8NbNXyL","3ViojmjbAp","hpqmaQFPrd","XIIwhv8d0m","YSKBFp38Pu","9xnGDUPbC6","Eev2Q7dYIw","aMUSaJuDRU","Tl3Y52tvF8","u0R0Locfp2"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rxpJgHHUmx","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⫏≰-200011220200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3670","layer":4},{"info":"compute unary expreesion, input=3670, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=5566","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=5566, right_input=2066, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=47","layer":2},{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=775","layer":3},{"info":"number node, value=1978","layer":4},{"info":"compute unary expreesion, input=1978, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-6176","layer":3},{"info":"compute binary expreesion, left_input=775, right_input=-6176, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=29853","layer":2},{"info":"compute binary expreesion, left_input=47, right_input=29853, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-179762","layer":1},{"info":"number node, value=4229","layer":4},{"info":"compute unary expreesion, input=4229, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute unary expreesion, input=426, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-4617","layer":2},{"info":"compute unary expreesion, input=-4617, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=11562","layer":1},{"info":"compute binary expreesion, left_input=-179762, right_input=11562, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-357876","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰12000221⇗⋫)⨓(⫏≰21122011⫌⩉⩟⫏≰2211112))⊉↱≁(⫏≰1102211⫲)⇤(⫏≰2201021⊜))∴((⨵(⪓⩚⫏≰12210122))⨉)=⫏≰-200011220200","reverse_text":"⫏≰-200011220200=(((⫏≰12000221⇗⋫)⨓(⫏≰21122011⫌⩉⩟⫏≰2211112))⊉↱≁(⫏≰1102211⫲)⇤(⫏≰2201021⊜))∴((⨵(⪓⩚⫏≰12210122))⨉)","cot":[{"info":"⫏≰12000221⇗⋫=NaN","layer":3},{"info":"⫏≰21122011⫌⩉⩟⫏≰2211112=⫏≰-1212","layer":3},{"info":"NaN⨓⫏≰-1212=⫏≰1202","layer":2},{"info":"⫏≰1102211⫲=⫏≰1001201","layer":3},{"info":"⫏≰2201021⊜=⫏≰-22110202","layer":3},{"info":"⫏≰1001201⇤⫏≰-22110202=⫏≰1111221200","layer":2},{"info":"⫏≰1202⊉↱≁⫏≰1111221200=⫏≰-100010120212","layer":1},{"info":"⪓⩚⫏≰12210122=⫏≰120210","layer":3},{"info":"⨵⫏≰120210=⫏≰-20100000","layer":2},{"info":"⫏≰-20100000⨉=⫏≰120212020","layer":1},{"info":"⫏≰-100010120212∴⫏≰120212020=⫏≰-200011220200","layer":0}]}
{"id":276,"expression_no_base_symbol":"(($1250$⩣⫁∢$2195$⨵⪆$2227$⇌⫙⪟$2051$)⊊)-($3241$⊕∕$6155$≓∲(↑$2544$))⋕⪉⪜(($2032$⫻⋑⊟)⩁⩘(⪭⩑⪱$1971$))","expression":"((⫏≰1201022⩣⫁∢⫏≰10000022⨵⪆⫏≰10001111⇌⫙⪟⫏≰2210222)⊊)-(⫏≰11110001⊕∕⫏≰22102222≓∲(↑⫏≰10111020))⋕⪉⪜((⫏≰2210021⫻⋑⊟)⩁⩘(⪭⩑⪱⫏≰2201000))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":47582,"operation_count":12,"complexity_ratio":3965.1666666666665,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1250,"base":3},"right_expr":{"type":"numeric_atoms","value":2195,"base":3}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2227,"base":3},"right_expr":{"type":"numeric_atoms","value":2051,"base":3}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3241,"base":3},"right_expr":{"type":"numeric_atoms","value":6155,"base":3}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2544,"base":3}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":2032,"base":3}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1971,"base":3}}}}},"used_operators":["rysDP5nf3Z","W9R8I5fN5A","2DQ55sFlQl","JDUIKTTSIa","AFVx7xoS7T","z6LnFrNh4i","s1XTVnmDOJ","9cloC0Ngie","tR7O2zTn5j","gub5Cegaqo","o575Zjdmzy","SIgE0bArFf"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"⫏≰11121110010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1250","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=2195, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2339","layer":3},{"info":"number node, value=2227","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=2051, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-2339, right_input=113, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 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":"number node, value=3241","layer":4},{"info":"number node, value=6155","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=6155, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3241","layer":3},{"info":"number node, value=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=3241, right_input=192, 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=-172118","layer":2},{"info":"number node, value=2032","layer":4},{"info":"compute unary expreesion, input=2032, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-3554","layer":3},{"info":"number node, value=1971","layer":4},{"info":"compute unary expreesion, input=1971, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=-3554, right_input=8320752, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=33283956","layer":2},{"info":"compute binary expreesion, left_input=-172118, right_input=33283956, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=90927, right_input=204, op_id = rysDP5nf3Z binary_op_definition= 'None', output=90723","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1201022⩣⫁∢⫏≰10000022⨵⪆⫏≰10001111⇌⫙⪟⫏≰2210222)⊊)-(⫏≰11110001⊕∕⫏≰22102222≓∲(↑⫏≰10111020))⋕⪉⪜((⫏≰2210021⫻⋑⊟)⩁⩘(⪭⩑⪱⫏≰2201000))=⫏≰11121110010","reverse_text":"⫏≰11121110010=((⫏≰1201022⩣⫁∢⫏≰10000022⨵⪆⫏≰10001111⇌⫙⪟⫏≰2210222)⊊)-(⫏≰11110001⊕∕⫏≰22102222≓∲(↑⫏≰10111020))⋕⪉⪜((⫏≰2210021⫻⋑⊟)⩁⩘(⪭⩑⪱⫏≰2201000))","cot":[{"info":"⫏≰1201022⩣⫁∢⫏≰10000022=⫏≰-10012122","layer":3},{"info":"⫏≰10001111⇌⫙⪟⫏≰2210222=⫏≰11012","layer":3},{"info":"⫏≰-10012122⨵⪆⫏≰11012=⫏≰12221","layer":2},{"info":"⫏≰12221⊊=⫏≰11121201200","layer":1},{"info":"⫏≰11110001⊕∕⫏≰22102222=⫏≰11110001","layer":3},{"info":"↑⫏≰10111020=⫏≰21010","layer":3},{"info":"⫏≰11110001≓∲⫏≰21010=⫏≰-22202002202","layer":2},{"info":"⫏≰2210021⫻⋑⊟=⫏≰-11212122","layer":3},{"info":"⪭⩑⪱⫏≰2201000=⫏≰120122201221000","layer":3},{"info":"⫏≰-11212122⩁⩘⫏≰120122201221000=⫏≰2022122000000010","layer":2},{"info":"⫏≰-22202002202⋕⪉⪜⫏≰2022122000000010=⫏≰21120","layer":1},{"info":"⫏≰11121201200-⫏≰21120=⫏≰11121110010","layer":0}]}
{"id":277,"expression_no_base_symbol":"↽≂($1984$⫻⋑⊟)⨚⇆($2376$∽$5202$)⨰(($8021$≳⇉$1729$)⨝⩣∺)","expression":"↽≂(⫏≰2201111⫻⋑⊟)⨚⇆(⫏≰10021000∽⫏≰21010200)⨰((⫏≰102000002≳⇉⫏≰2101001)⨝⩣∺)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42412356,"operation_count":7,"complexity_ratio":6058908.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1984,"base":3}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2376,"base":3},"right_expr":{"type":"numeric_atoms","value":5202,"base":3}}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":8021,"base":3},"right_expr":{"type":"numeric_atoms","value":1729,"base":3}}}}},"used_operators":["u6S6b8DprG","eewbuw0ToL","lwHaAYXP2r","o575Zjdmzy","y4ImoPnbV5","ancx8kZcWl","V0kx6qeWkN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","NTOWxs364D","QMFrweE19q","DZ8iAZOCBD","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1984","layer":4},{"info":"compute unary expreesion, input=1984, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-3458","layer":3},{"info":"number node, value=2376","layer":4},{"info":"number node, value=5202","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=5202, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-27308","layer":3},{"info":"compute binary expreesion, left_input=-3458, right_input=-27308, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=8021","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=8021, right_input=1729, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↽≂(⫏≰2201111⫻⋑⊟)⨚⇆(⫏≰10021000∽⫏≰21010200)⨰((⫏≰102000002≳⇉⫏≰2101001)⨝⩣∺)=NaN","reverse_text":"NaN=↽≂(⫏≰2201111⫻⋑⊟)⨚⇆(⫏≰10021000∽⫏≰21010200)⨰((⫏≰102000002≳⇉⫏≰2101001)⨝⩣∺)","cot":[{"info":"⫏≰2201111⫻⋑⊟=⫏≰-11202002","layer":3},{"info":"⫏≰10021000∽⫏≰21010200=⫏≰-1101110102","layer":3},{"info":"⫏≰-11202002⨚⇆⫏≰-1101110102=NaN","layer":2},{"info":"⫏≰102000002≳⇉⫏≰2101001=NaN","layer":3},{"info":"NaN⨝⩣∺=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"⊤⊝($2708$⩍⋽⫝̸$2784$⇷$3838$⇍⊗$1053$)≦↸(⪛⨧$1933$∋$4199$)","expression":"⊤⊝(⫏≰10201022⩍⋽⫝̸⫏≰10211010⇷⫏≰12021011⇍⊗⫏≰1110000)≦↸(⪛⨧⫏≰2122121∋⫏≰12202112)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26361,"operation_count":7,"complexity_ratio":3765.8571428571427,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2708,"base":3},"right_expr":{"type":"numeric_atoms","value":2784,"base":3}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3838,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1933,"base":3},"right_expr":{"type":"numeric_atoms","value":4199,"base":3}}}}},"used_operators":["rXAclfmB4M","RygbFNSyEJ","mp7IySMOzn","BiWNJpBvwn","5uvYHDjeKN","6NJAcO2OWT","ukq6epAj5P"],"dependent_operators":["sdazOOVcIp","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Ph9nP6C5qx","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2708","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=2708, right_input=2784, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1838","layer":3},{"info":"number node, value=3838","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3838, right_input=1053, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=1838, right_input=-244, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1933","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=4199, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=8747172","layer":3},{"info":"compute unary expreesion, input=8747172, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=17495745","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17495745, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊤⊝(⫏≰10201022⩍⋽⫝̸⫏≰10211010⇷⫏≰12021011⇍⊗⫏≰1110000)≦↸(⪛⨧⫏≰2122121∋⫏≰12202112)=NaN","reverse_text":"NaN=⊤⊝(⫏≰10201022⩍⋽⫝̸⫏≰10211010⇷⫏≰12021011⇍⊗⫏≰1110000)≦↸(⪛⨧⫏≰2122121∋⫏≰12202112)","cot":[{"info":"⫏≰10201022⩍⋽⫝̸⫏≰10211010=⫏≰2112002","layer":3},{"info":"⫏≰12021011⇍⊗⫏≰1110000=⫏≰-100001","layer":3},{"info":"⫏≰2112002⇷⫏≰-100001=NaN","layer":2},{"info":"⫏≰2122121∋⫏≰12202112=⫏≰121110101212100","layer":3},{"info":"⪛⨧⫏≰121110101212100=⫏≰1012220212122120","layer":2},{"info":"NaN≦↸⫏≰1012220212122120=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"(($1092$⫰⋱$4832$⨒(⨭⩧⫛$1238$))⪐)⩒⫫($7223$↢$2922$∥⊢⊲$2367$⪔⊥$7304$⋻⩜⩜($1123$⫠↝⫳)⪭$3206$⋥⋵⩄$1023$)","expression":"((⫏≰1111110⫰⋱⫏≰20121222⨒(⨭⩧⫛⫏≰1200212))⪐)⩒⫫(⫏≰100220112↢⫏≰11000020∥⊢⊲⫏≰10020200⪔⊥⫏≰101000112⋻⩜⩜(⫏≰1112121⫠↝⫳)⪭⫏≰11101202⋥⋵⩄⫏≰1101220)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":244,"operation_count":12,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1092,"base":3},"right_expr":{"type":"numeric_atoms","value":4832,"base":3}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1238,"base":3}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":7223,"base":3},"right_expr":{"type":"numeric_atoms","value":2922,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2367,"base":3},"right_expr":{"type":"numeric_atoms","value":7304,"base":3}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":1123,"base":3}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3206,"base":3},"right_expr":{"type":"numeric_atoms","value":1023,"base":3}}}}},"used_operators":["KFSx94NKJn","eH2TOUuTDT","y75s1iXyHd","6o9Blt3TJ6","g21JL6JxX7","oDCm7WA9JY","v1UQAVDJRr","WR6HLWljOP","HJ9erzHUuu","j9kHMeSvPp","8n5YIzOsVS","7t3wd0Fuz7"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","EBcxylXtPf","rGHVDoGpnC","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"number node, value=4832","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=4832, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1059","layer":3},{"info":"number node, value=1238","layer":4},{"info":"compute unary expreesion, input=1238, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1059, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=7223","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=7223, right_input=2922, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6739","layer":3},{"info":"number node, value=2367","layer":4},{"info":"number node, value=7304","layer":4},{"info":"compute binary expreesion, left_input=2367, right_input=7304, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-5339","layer":3},{"info":"compute binary expreesion, left_input=6739, right_input=-5339, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=36559","layer":3},{"info":"number node, value=3206","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=1023, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=36559, right_input=113, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1111110⫰⋱⫏≰20121222⨒(⨭⩧⫛⫏≰1200212))⪐)⩒⫫(⫏≰100220112↢⫏≰11000020∥⊢⊲⫏≰10020200⪔⊥⫏≰101000112⋻⩜⩜(⫏≰1112121⫠↝⫳)⪭⫏≰11101202⋥⋵⩄⫏≰1101220)=NaN","reverse_text":"NaN=((⫏≰1111110⫰⋱⫏≰20121222⨒(⨭⩧⫛⫏≰1200212))⪐)⩒⫫(⫏≰100220112↢⫏≰11000020∥⊢⊲⫏≰10020200⪔⊥⫏≰101000112⋻⩜⩜(⫏≰1112121⫠↝⫳)⪭⫏≰11101202⋥⋵⩄⫏≰1101220)","cot":[{"info":"⫏≰1111110⫰⋱⫏≰20121222=⫏≰-1110020","layer":3},{"info":"⨭⩧⫛⫏≰1200212=NaN","layer":3},{"info":"⫏≰-1110020⨒NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⫏≰100220112↢⫏≰11000020=⫏≰100020121","layer":3},{"info":"⫏≰10020200⪔⊥⫏≰101000112=⫏≰-21022202","layer":3},{"info":"⫏≰100020121∥⊢⊲⫏≰-21022202=NaN","layer":2},{"info":"⫏≰1112121⫠↝⫳=⫏≰1212011001","layer":3},{"info":"⫏≰11101202⋥⋵⩄⫏≰1101220=⫏≰11012","layer":3},{"info":"⫏≰1212011001⪭⫏≰11012=⫏≰12","layer":2},{"info":"NaN⋻⩜⩜⫏≰12=NaN","layer":1},{"info":"NaN⩒⫫NaN=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"(≉(⫇$2585$)⩌⋺($4842$⫸⊐$1787$))⫢⨠(($2386$%$3591$)⇌⫙⪟($2006$⫔⩽⩺$2095$)⋭≵($3794$⪚$4001$⇼⇔∾$2989$∥⊢⊲$4956$))","expression":"(≉(⫇⫏≰10112202)⩌⋺(⫏≰20122100⫸⊐⫏≰2110012))⫢⨠((⫏≰10021101%⫏≰11221000)⇌⫙⪟(⫏≰2202022⫔⩽⩺⫏≰2212121)⋭≵(⫏≰12012112⪚⫏≰12111012⇼⇔∾⫏≰11002201∥⊢⊲⫏≰20210120))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":276,"operation_count":12,"complexity_ratio":23.0,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2585,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4842,"base":3},"right_expr":{"type":"numeric_atoms","value":1787,"base":3}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2386,"base":3},"right_expr":{"type":"numeric_atoms","value":3591,"base":3}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2006,"base":3},"right_expr":{"type":"numeric_atoms","value":2095,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3794,"base":3},"right_expr":{"type":"numeric_atoms","value":4001,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2989,"base":3},"right_expr":{"type":"numeric_atoms","value":4956,"base":3}}}}},"used_operators":["xlXykHWxX1","e1ybzncUwg","g7Hmc5v1ko","YjI8oCXuph","mqXw5SEYmG","jBncVCNhdl","AFVx7xoS7T","k8jYdgA6NY","i9eR4S00cU","tifHPKVTfV","HrjLwUk87U","v1UQAVDJRr"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","EBcxylXtPf","rGHVDoGpnC"],"result":"⫏≰1012111201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2585","layer":4},{"info":"compute unary expreesion, input=2585, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-3956","layer":3},{"info":"number node, value=4842","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=4842, right_input=1787, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7023","layer":3},{"info":"compute binary expreesion, left_input=-3956, right_input=7023, 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=-3188","layer":2},{"info":"compute unary expreesion, input=-3188, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-3188","layer":1},{"info":"number node, value=2386","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=3591, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2386","layer":3},{"info":"number node, value=2006","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=2095, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2386, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"number node, value=3794","layer":4},{"info":"number node, value=4001","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=4001, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-770","layer":3},{"info":"number node, value=2989","layer":4},{"info":"number node, value=4956","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=4956, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-770, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-3188, right_input=67, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=23698","layer":0}],"base":3,"result_base":3,"text":"(≉(⫇⫏≰10112202)⩌⋺(⫏≰20122100⫸⊐⫏≰2110012))⫢⨠((⫏≰10021101%⫏≰11221000)⇌⫙⪟(⫏≰2202022⫔⩽⩺⫏≰2212121)⋭≵(⫏≰12012112⪚⫏≰12111012⇼⇔∾⫏≰11002201∥⊢⊲⫏≰20210120))=⫏≰1012111201","reverse_text":"⫏≰1012111201=(≉(⫇⫏≰10112202)⩌⋺(⫏≰20122100⫸⊐⫏≰2110012))⫢⨠((⫏≰10021101%⫏≰11221000)⇌⫙⪟(⫏≰2202022⫔⩽⩺⫏≰2212121)⋭≵(⫏≰12012112⪚⫏≰12111012⇼⇔∾⫏≰11002201∥⊢⊲⫏≰20210120))","cot":[{"info":"⫇⫏≰10112202=⫏≰-12102112","layer":3},{"info":"⫏≰20122100⫸⊐⫏≰2110012=⫏≰100122010","layer":3},{"info":"⫏≰-12102112⩌⋺⫏≰100122010=⫏≰-11101002","layer":2},{"info":"≉⫏≰-11101002=⫏≰-11101002","layer":1},{"info":"⫏≰10021101%⫏≰11221000=⫏≰10021101","layer":3},{"info":"⫏≰2202022⫔⩽⩺⫏≰2212121=NaN","layer":3},{"info":"⫏≰10021101⇌⫙⪟NaN=NaN","layer":2},{"info":"⫏≰12012112⪚⫏≰12111012=⫏≰-1001112","layer":3},{"info":"⫏≰11002201∥⊢⊲⫏≰20210120=NaN","layer":3},{"info":"⫏≰-1001112⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⋭≵NaN=⫏≰2111","layer":1},{"info":"⫏≰-11101002⫢⨠⫏≰2111=⫏≰1012111201","layer":0}]}
{"id":281,"expression_no_base_symbol":"(⩎⋉(($1142$⪥⨬⪅)→⨶⪴$3108$∥⊢⊲$4241$))∲⫓(($1528$⫑%∭)⨵⪆($3716$⨴∎))⩁⩘(($5876$⫚↹⊑$1148$)∑⇟⊟$1128$∺≝⩲$6849$)","expression":"(⩎⋉((⫏≰1120022⪥⨬⪅)→⨶⪴⫏≰11021010∥⊢⊲⫏≰12211002))∲⫓((⫏≰2002121⫑%∭)⨵⪆(⫏≰12002122⨴∎))⩁⩘((⫏≰22001122⫚↹⊑⫏≰1120112)∑⇟⊟⫏≰1112210∺≝⩲⫏≰100101200)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30725,"operation_count":12,"complexity_ratio":2560.4166666666665,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":1142,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3108,"base":3},"right_expr":{"type":"numeric_atoms","value":4241,"base":3}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1528,"base":3}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":3716,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5876,"base":3},"right_expr":{"type":"numeric_atoms","value":1148,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1128,"base":3},"right_expr":{"type":"numeric_atoms","value":6849,"base":3}}}}},"used_operators":["i8ToyICDmI","FlXk3pOYe8","bF6eod5Gvf","zNRQejTB5A","v1UQAVDJRr","gub5Cegaqo","2DQ55sFlQl","xUx7qlDO4z","CpSg5vQTgA","U7g4x0WXJJ","dfKe02y8D2","KPf6cnQVty"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","8w2t5hMYqp","9FxExcQeMw","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"number node, value=3108","layer":4},{"info":"number node, value=4241","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=4241, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, 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=nan","layer":1},{"info":"number node, value=1528","layer":4},{"info":"compute unary expreesion, input=1528, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=3716","layer":4},{"info":"compute unary expreesion, input=3716, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5876","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=5876, right_input=1148, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=6849","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=6849, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⩎⋉((⫏≰1120022⪥⨬⪅)→⨶⪴⫏≰11021010∥⊢⊲⫏≰12211002))∲⫓((⫏≰2002121⫑%∭)⨵⪆(⫏≰12002122⨴∎))⩁⩘((⫏≰22001122⫚↹⊑⫏≰1120112)∑⇟⊟⫏≰1112210∺≝⩲⫏≰100101200)=NaN","reverse_text":"NaN=(⩎⋉((⫏≰1120022⪥⨬⪅)→⨶⪴⫏≰11021010∥⊢⊲⫏≰12211002))∲⫓((⫏≰2002121⫑%∭)⨵⪆(⫏≰12002122⨴∎))⩁⩘((⫏≰22001122⫚↹⊑⫏≰1120112)∑⇟⊟⫏≰1112210∺≝⩲⫏≰100101200)","cot":[{"info":"⫏≰1120022⪥⨬⪅=⫏≰-122112","layer":3},{"info":"⫏≰11021010∥⊢⊲⫏≰12211002=NaN","layer":3},{"info":"⫏≰-122112→⨶⪴NaN=NaN","layer":2},{"info":"⩎⋉NaN=NaN","layer":1},{"info":"⫏≰2002121⫑%∭=NaN","layer":3},{"info":"⫏≰12002122⨴∎=NaN","layer":3},{"info":"NaN⨵⪆NaN=⫏≰12221","layer":2},{"info":"⫏≰22001122⫚↹⊑⫏≰1120112=⫏≰-121120","layer":3},{"info":"⫏≰1112210∺≝⩲⫏≰100101200=⫏≰12221","layer":3},{"info":"⫏≰-121120∑⇟⊟⫏≰12221=NaN","layer":2},{"info":"⫏≰12221⩁⩘NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"⨞⊢($1462$⪝$2008$⨕⋳)⩺⪪(⋃$3180$)⇤$2108$≁↽≥$4720$","expression":"⨞⊢(⫏≰2000011⪝⫏≰2202101⨕⋳)⩺⪪(⋃⫏≰11100210)⇤⫏≰2220002≁↽≥⫏≰20110211","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":675,"operation_count":7,"complexity_ratio":96.42857142857143,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1462,"base":3},"right_expr":{"type":"numeric_atoms","value":2008,"base":3}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3180,"base":3}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2108,"base":3},"right_expr":{"type":"numeric_atoms","value":4720,"base":3}}}}},"used_operators":["xUOZtlo3hN","uvdQJvN4PV","4X4GscPmMf","wicAB68Tmb","YSKBFp38Pu","3mBM5G4a3l","ncHt1X6cMc"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⫏≰10111212121102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1462","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=2008, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-120554","layer":2},{"info":"number node, value=3180","layer":4},{"info":"compute unary expreesion, input=3180, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=6462","layer":3},{"info":"number node, value=2108","layer":4},{"info":"number node, value=4720","layer":4},{"info":"compute binary expreesion, left_input=2108, right_input=4720, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=41552","layer":3},{"info":"compute binary expreesion, left_input=6462, right_input=41552, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-237222","layer":2},{"info":"compute binary expreesion, left_input=-120554, right_input=-237222, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1867586","layer":1},{"info":"compute unary expreesion, input=-1867586, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1867412","layer":0}],"base":3,"result_base":3,"text":"⨞⊢(⫏≰2000011⪝⫏≰2202101⨕⋳)⩺⪪(⋃⫏≰11100210)⇤⫏≰2220002≁↽≥⫏≰20110211=⫏≰10111212121102","reverse_text":"⫏≰10111212121102=⨞⊢(⫏≰2000011⪝⫏≰2202101⨕⋳)⩺⪪(⋃⫏≰11100210)⇤⫏≰2220002≁↽≥⫏≰20110211","cot":[{"info":"⫏≰2000011⪝⫏≰2202101=⫏≰22210","layer":3},{"info":"⫏≰22210⨕⋳=⫏≰-20010100222","layer":2},{"info":"⋃⫏≰11100210=⫏≰22212100","layer":3},{"info":"⫏≰2220002≁↽≥⫏≰20110211=⫏≰2002222222","layer":3},{"info":"⫏≰22212100⇤⫏≰2002222222=⫏≰-110001102000","layer":2},{"info":"⫏≰-20010100222⩺⪪⫏≰-110001102000=⫏≰-10111212211212","layer":1},{"info":"⨞⊢⫏≰-10111212211212=⫏≰10111212121102","layer":0}]}
{"id":283,"expression_no_base_symbol":"($1909$≴⪞⇿$7897$⩷∴$5346$⊱⇼⊻$7192$)⇌⫙⪟((→⩰$9513$)↺$7554$⊔$5667$)⫥∨⫟(($3265$∥⊢⊲$4966$)⩦(⨂⪏⇭$1466$))⇡⇂($3322$⇤$1609$⪛(⇠$1046$))","expression":"(⫏≰2121201≴⪞⇿⫏≰101211111⩷∴⫏≰21100000⊱⇼⊻⫏≰100212101)⇌⫙⪟((→⩰⫏≰111001100)↺⫏≰101100210⊔⫏≰21202220)⫥∨⫟((⫏≰11110221∥⊢⊲⫏≰20210221)⩦(⨂⪏⇭⫏≰2000022))⇡⇂(⫏≰11120001⇤⫏≰2012121⪛(⇠⫏≰1102202))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":13635,"operation_count":15,"complexity_ratio":909.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1909,"base":3},"right_expr":{"type":"numeric_atoms","value":7897,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5346,"base":3},"right_expr":{"type":"numeric_atoms","value":7192,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":9513,"base":3}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":7554,"base":3},"right_expr":{"type":"numeric_atoms","value":5667,"base":3}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3265,"base":3},"right_expr":{"type":"numeric_atoms","value":4966,"base":3}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1466,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3322,"base":3},"right_expr":{"type":"numeric_atoms","value":1609,"base":3}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1046,"base":3}}}}},"used_operators":["KYD54nUTWz","AFVx7xoS7T","9FxExcQeMw","lvlrscuwVU","FyVja0WsTP","7j4O788W3g","o8Pngz0Tml","E4l6HwMY31","UMwdvZNt44","0kmYd0q39Y","v1UQAVDJRr","AYdpE9sXAk","uFcxV4UQCh","YSKBFp38Pu","18saOjeKKm"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1909","layer":4},{"info":"number node, value=7897","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=7897, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=5353226","layer":3},{"info":"number node, value=5346","layer":4},{"info":"number node, value=7192","layer":4},{"info":"compute binary expreesion, left_input=5346, right_input=7192, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=5353226, right_input=434, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10705552","layer":2},{"info":"number node, value=9513","layer":4},{"info":"compute unary expreesion, input=9513, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=7554","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=7554, right_input=5667, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=41043","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=41043, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=41043","layer":2},{"info":"compute binary expreesion, left_input=10705552, right_input=41043, 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=3265","layer":4},{"info":"number node, value=4966","layer":4},{"info":"compute binary expreesion, left_input=3265, right_input=4966, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1466","layer":4},{"info":"compute unary expreesion, input=1466, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=3419","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3419, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=3322","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=1609, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-21807","layer":3},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-804","layer":3},{"info":"compute binary expreesion, left_input=-21807, right_input=-804, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-99","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-99, 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=113, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2121201≴⪞⇿⫏≰101211111⩷∴⫏≰21100000⊱⇼⊻⫏≰100212101)⇌⫙⪟((→⩰⫏≰111001100)↺⫏≰101100210⊔⫏≰21202220)⫥∨⫟((⫏≰11110221∥⊢⊲⫏≰20210221)⩦(⨂⪏⇭⫏≰2000022))⇡⇂(⫏≰11120001⇤⫏≰2012121⪛(⇠⫏≰1102202))=NaN","reverse_text":"NaN=(⫏≰2121201≴⪞⇿⫏≰101211111⩷∴⫏≰21100000⊱⇼⊻⫏≰100212101)⇌⫙⪟((→⩰⫏≰111001100)↺⫏≰101100210⊔⫏≰21202220)⫥∨⫟((⫏≰11110221∥⊢⊲⫏≰20210221)⩦(⨂⪏⇭⫏≰2000022))⇡⇂(⫏≰11120001⇤⫏≰2012121⪛(⇠⫏≰1102202))","cot":[{"info":"⫏≰2121201≴⪞⇿⫏≰101211111=⫏≰101001222020122","layer":3},{"info":"⫏≰21100000⊱⇼⊻⫏≰100212101=⫏≰121002","layer":3},{"info":"⫏≰101001222020122⩷∴⫏≰121002=⫏≰202010220020221","layer":2},{"info":"→⩰⫏≰111001100=NaN","layer":3},{"info":"⫏≰101100210⊔⫏≰21202220=⫏≰2002022010","layer":3},{"info":"NaN↺⫏≰2002022010=⫏≰2002022010","layer":2},{"info":"⫏≰202010220020221⇌⫙⪟⫏≰2002022010=⫏≰11012","layer":1},{"info":"⫏≰11110221∥⊢⊲⫏≰20210221=NaN","layer":3},{"info":"⨂⪏⇭⫏≰2000022=⫏≰11200122","layer":3},{"info":"NaN⩦⫏≰11200122=NaN","layer":2},{"info":"⫏≰11120001⇤⫏≰2012121=⫏≰-1002220200","layer":3},{"info":"⇠⫏≰1102202=⫏≰-1002210","layer":3},{"info":"⫏≰-1002220200⪛⫏≰-1002210=⫏≰-10200","layer":2},{"info":"NaN⇡⇂⫏≰-10200=NaN","layer":1},{"info":"⫏≰11012⫥∨⫟NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"(($1029$↯⫤)⪛($1642$↼⊘⨖$1732$)⫡⨏($3599$⪷)⊋≦⊧(⊬↢$8134$))⫁⪎(⋃(($2180$⨻⩈⩔$4405$)∛$3571$⊬⨰$1659$))","expression":"((⫏≰1102010↯⫤)⪛(⫏≰2020211↼⊘⨖⫏≰2101011)⫡⨏(⫏≰11221022⪷)⊋≦⊧(⊬↢⫏≰102011021))⫁⪎(⋃((⫏≰2222202⨻⩈⩔⫏≰20001011)∛⫏≰11220021⊬⨰⫏≰2021110))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12071,"operation_count":12,"complexity_ratio":1005.9166666666666,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1029,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1642,"base":3},"right_expr":{"type":"numeric_atoms","value":1732,"base":3}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":3599,"base":3}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":8134,"base":3}}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2180,"base":3},"right_expr":{"type":"numeric_atoms","value":4405,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3571,"base":3},"right_expr":{"type":"numeric_atoms","value":1659,"base":3}}}}},"used_operators":["xRrnTEsQ6j","QMFrweE19q","uFcxV4UQCh","VwlE7vj6HS","bPywburJMS","oRDoc9rAEX","Qctrpi3WzA","WPoGxAaPR1","3mBM5G4a3l","w2537kitQq","nEsXyWgiOK","s3Fd5m9Dh2"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Nsiff2A1zJ","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","g55IO6H4Gj","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, 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":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1732, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3242","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3242, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=3599","layer":4},{"info":"compute unary expreesion, input=3599, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=8134","layer":4},{"info":"compute unary expreesion, input=8134, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=218, 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":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=2180","layer":4},{"info":"number node, value=4405","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=4405, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9039","layer":3},{"info":"number node, value=3571","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=3571, right_input=1659, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9151","layer":3},{"info":"compute binary expreesion, left_input=9039, right_input=9151, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-1238","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1238, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1102010↯⫤)⪛(⫏≰2020211↼⊘⨖⫏≰2101011)⫡⨏(⫏≰11221022⪷)⊋≦⊧(⊬↢⫏≰102011021))⫁⪎(⋃((⫏≰2222202⨻⩈⩔⫏≰20001011)∛⫏≰11220021⊬⨰⫏≰2021110))=NaN","reverse_text":"NaN=((⫏≰1102010↯⫤)⪛(⫏≰2020211↼⊘⨖⫏≰2101011)⫡⨏(⫏≰11221022⪷)⊋≦⊧(⊬↢⫏≰102011021))⫁⪎(⋃((⫏≰2222202⨻⩈⩔⫏≰20001011)∛⫏≰11220021⊬⨰⫏≰2021110))","cot":[{"info":"⫏≰1102010↯⫤=⫏≰0","layer":3},{"info":"⫏≰2020211↼⊘⨖⫏≰2101011=⫏≰11110002","layer":3},{"info":"⫏≰0⪛⫏≰11110002=⫏≰0","layer":2},{"info":"⫏≰11221022⪷=NaN","layer":3},{"info":"⊬↢⫏≰102011021=⫏≰22002","layer":3},{"info":"NaN⊋≦⊧⫏≰22002=NaN","layer":2},{"info":"⫏≰0⫡⨏NaN=NaN","layer":1},{"info":"⫏≰2222202⨻⩈⩔⫏≰20001011=⫏≰110101210","layer":3},{"info":"⫏≰11220021⊬⨰⫏≰2021110=⫏≰110112221","layer":3},{"info":"⫏≰110101210∛⫏≰110112221=⫏≰-220211","layer":2},{"info":"⋃⫏≰-220211=⫏≰-1200212","layer":1},{"info":"NaN⫁⪎⫏≰-1200212=NaN","layer":0}]}
{"id":285,"expression_no_base_symbol":"(⇾⩊⇾$1342$)⪝($2294$∀⋜↑)↹⊜(↯⪼($2942$⨑≵⋬$6271$))⊍⩺⋍(⇖$1036$)≎⪠($3359$⩘⨬⇊)⪢($6959$↞⋁$1006$∙∹∝$1183$∙⊟$7098$)","expression":"(⇾⩊⇾⫏≰1211201)⪝(⫏≰10010222∀⋜↑)↹⊜(↯⪼(⫏≰11000222⨑≵⋬⫏≰22121021))⊍⩺⋍(⇖⫏≰1102101)≎⪠(⫏≰11121102⩘⨬⇊)⪢(⫏≰100112202↞⋁⫏≰1101021∙∹∝⫏≰1121211∙⊟⫏≰100201220)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26331,"operation_count":14,"complexity_ratio":1880.7857142857142,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1342,"base":3}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":2294,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2942,"base":3},"right_expr":{"type":"numeric_atoms","value":6271,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1036,"base":3}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":3359,"base":3}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":6959,"base":3},"right_expr":{"type":"numeric_atoms","value":1006,"base":3}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1183,"base":3},"right_expr":{"type":"numeric_atoms","value":7098,"base":3}}}}},"used_operators":["OXDGMFPWZM","9bazX3JMtO","wicAB68Tmb","bx9Z9DAK5y","KipPnG1M2J","8jW3W4yZS5","XnXgA4xnOs","dWAJyo7jo9","aNhz54LH3e","tfWHHpNKUN","XXmTpEpWTW","HmxsFra2vL","RqrPlJkxDo","SxTAKzQCrw"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","k8jYdgA6NY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","2DQ55sFlQl","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-18564","layer":3},{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-18564, right_input=-484, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-186409","layer":2},{"info":"number node, value=2942","layer":4},{"info":"number node, value=6271","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=6271, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-27808","layer":3},{"info":"compute unary expreesion, input=-27808, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=54699","layer":2},{"info":"compute binary expreesion, left_input=-186409, right_input=54699, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-437688","layer":1},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=3359","layer":4},{"info":"compute unary expreesion, input=3359, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=6959","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=6959, right_input=1006, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=7098","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=7098, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25225","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=25225, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-437688, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇾⩊⇾⫏≰1211201)⪝(⫏≰10010222∀⋜↑)↹⊜(↯⪼(⫏≰11000222⨑≵⋬⫏≰22121021))⊍⩺⋍(⇖⫏≰1102101)≎⪠(⫏≰11121102⩘⨬⇊)⪢(⫏≰100112202↞⋁⫏≰1101021∙∹∝⫏≰1121211∙⊟⫏≰100201220)=NaN","reverse_text":"NaN=(⇾⩊⇾⫏≰1211201)⪝(⫏≰10010222∀⋜↑)↹⊜(↯⪼(⫏≰11000222⨑≵⋬⫏≰22121021))⊍⩺⋍(⇖⫏≰1102101)≎⪠(⫏≰11121102⩘⨬⇊)⪢(⫏≰100112202↞⋁⫏≰1101021∙∹∝⫏≰1121211∙⊟⫏≰100201220)","cot":[{"info":"⇾⩊⇾⫏≰1211201=⫏≰-221110120","layer":3},{"info":"⫏≰10010222∀⋜↑=⫏≰-122221","layer":3},{"info":"⫏≰-221110120⪝⫏≰-122221=⫏≰-100110201001","layer":2},{"info":"⫏≰11000222⨑≵⋬⫏≰22121021=⫏≰-1102010221","layer":3},{"info":"↯⪼⫏≰-1102010221=⫏≰2210000220","layer":2},{"info":"⫏≰-100110201001↹⊜⫏≰2210000220=⫏≰-211020101200","layer":1},{"info":"⇖⫏≰1102101=⫏≰12221","layer":3},{"info":"⫏≰11121102⩘⨬⇊=NaN","layer":3},{"info":"⫏≰12221≎⪠NaN=⫏≰222211101","layer":2},{"info":"⫏≰100112202↞⋁⫏≰1101021=NaN","layer":3},{"info":"⫏≰1121211∙⊟⫏≰100201220=⫏≰1021121021","layer":3},{"info":"NaN∙∹∝⫏≰1021121021=NaN","layer":2},{"info":"⫏≰222211101⪢NaN=NaN","layer":1},{"info":"⫏≰-211020101200⊍⩺⋍NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"($3805$⨥⫆$1090$⊬⫿⊭)↼⊘⨖(⊢≑≆($1403$∼$1110$))≭(⨦⪝($1710$⨟⋌⩍$1044$*(⇜$1441$)))","expression":"(⫏≰12012221⨥⫆⫏≰1111101⊬⫿⊭)↼⊘⨖(⊢≑≆(⫏≰1220222∼⫏≰1112010))≭(⨦⪝(⫏≰2100100⨟⋌⩍⫏≰1102200*(⇜⫏≰1222101)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":430,"operation_count":10,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3805,"base":3},"right_expr":{"type":"numeric_atoms","value":1090,"base":3}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1403,"base":3},"right_expr":{"type":"numeric_atoms","value":1110,"base":3}}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1710,"base":3},"right_expr":{"type":"numeric_atoms","value":1044,"base":3}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1441,"base":3}}}}},"used_operators":["rxpJgHHUmx","bPywburJMS","v0DYgG9ikt","yXekIHxTD4","27wFxooxGf","DyGG3AbaNP","SUjycxNXIR","9HNa5Wba9A","rGHVDoGpnC","lFBm8KRb8F"],"dependent_operators":["AHs5Up7iyr","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","Tcnh7f0tEr","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3805","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=3805, right_input=1090, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2056","layer":3},{"info":"compute unary expreesion, input=2056, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-6168","layer":2},{"info":"number node, value=1403","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=1110, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6168, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"number node, value=1710","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=1044, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-11936","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11936, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1884, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"(⫏≰12012221⨥⫆⫏≰1111101⊬⫿⊭)↼⊘⨖(⊢≑≆(⫏≰1220222∼⫏≰1112010))≭(⨦⪝(⫏≰2100100⨟⋌⩍⫏≰1102200*(⇜⫏≰1222101)))=NaN","reverse_text":"NaN=(⫏≰12012221⨥⫆⫏≰1111101⊬⫿⊭)↼⊘⨖(⊢≑≆(⫏≰1220222∼⫏≰1112010))≭(⨦⪝(⫏≰2100100⨟⋌⩍⫏≰1102200*(⇜⫏≰1222101)))","cot":[{"info":"⫏≰12012221⨥⫆⫏≰1111101=⫏≰2211011","layer":3},{"info":"⫏≰2211011⊬⫿⊭=⫏≰-22110110","layer":2},{"info":"⫏≰1220222∼⫏≰1112010=NaN","layer":3},{"info":"⊢≑≆NaN=NaN","layer":2},{"info":"⫏≰-22110110↼⊘⨖NaN=NaN","layer":1},{"info":"⫏≰2100100⨟⋌⩍⫏≰1102200=NaN","layer":3},{"info":"⇜⫏≰1222101=⫏≰-121101002","layer":3},{"info":"NaN*⫏≰-121101002=NaN","layer":2},{"info":"⨦⪝NaN=⫏≰-2120210","layer":1},{"info":"NaN≭⫏≰-2120210=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"(($4246$⇯⋐)≌($1057$↙$2978$)≓∲($1404$∁)∠⫱$1406$⪝$1313$)⪔(($2463$⪭$1160$)≝⊿($2114$⪥$4285$)⋷($3020$↺$1699$)⩍⋽⫝̸($2818$⊋≦⊧$1883$))","expression":"((⫏≰12211021⇯⋐)≌(⫏≰1110011↙⫏≰11002022)≓∲(⫏≰1221000∁)∠⫱⫏≰1221002⪝⫏≰1210122)⪔((⫏≰10101020⪭⫏≰1120222)≝⊿(⫏≰2220022⪥⫏≰12212201)⋷(⫏≰11010212↺⫏≰2022221)⩍⋽⫝̸(⫏≰10212101⊋≦⊧⫏≰2120202))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":66529,"operation_count":15,"complexity_ratio":4435.266666666666,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":4246,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1057,"base":3},"right_expr":{"type":"numeric_atoms","value":2978,"base":3}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1404,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1406,"base":3},"right_expr":{"type":"numeric_atoms","value":1313,"base":3}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2463,"base":3},"right_expr":{"type":"numeric_atoms","value":1160,"base":3}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2114,"base":3},"right_expr":{"type":"numeric_atoms","value":4285,"base":3}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3020,"base":3},"right_expr":{"type":"numeric_atoms","value":1699,"base":3}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2818,"base":3},"right_expr":{"type":"numeric_atoms","value":1883,"base":3}}}}},"used_operators":["GjBEYRfMaF","s1XTVnmDOJ","lyWz822IDG","LkLIoiE525","yyfyN0ffXY","QvoQhV0rrE","jdwGQqwJi5","wicAB68Tmb","23Mk6UjR3U","OKKcZfAt5B","j9kHMeSvPp","QbnwKVWMIQ","BiWNJpBvwn","7j4O788W3g","oRDoc9rAEX"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","2DDjHMKMc0","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","COABgblf1C","xUOZtlo3hN","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4246","layer":4},{"info":"compute unary expreesion, input=4246, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=13616","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2978, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8934","layer":3},{"info":"compute binary expreesion, left_input=13616, right_input=-8934, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1404","layer":3},{"info":"number node, value=1406","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=1313, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=485","layer":3},{"info":"compute binary expreesion, left_input=1404, right_input=485, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, 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":1},{"info":"number node, value=2463","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=1160, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2114","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=4285, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13108","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=13108, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-26754","layer":2},{"info":"number node, value=3020","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=3020, right_input=1699, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1699","layer":3},{"info":"number node, value=2818","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=1883, 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=-3526","layer":3},{"info":"compute binary expreesion, left_input=1699, right_input=-3526, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4752","layer":2},{"info":"compute binary expreesion, left_input=-26754, right_input=4752, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=53508","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=53508, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12211021⇯⋐)≌(⫏≰1110011↙⫏≰11002022)≓∲(⫏≰1221000∁)∠⫱⫏≰1221002⪝⫏≰1210122)⪔((⫏≰10101020⪭⫏≰1120222)≝⊿(⫏≰2220022⪥⫏≰12212201)⋷(⫏≰11010212↺⫏≰2022221)⩍⋽⫝̸(⫏≰10212101⊋≦⊧⫏≰2120202))=NaN","reverse_text":"NaN=((⫏≰12211021⇯⋐)≌(⫏≰1110011↙⫏≰11002022)≓∲(⫏≰1221000∁)∠⫱⫏≰1221002⪝⫏≰1210122)⪔((⫏≰10101020⪭⫏≰1120222)≝⊿(⫏≰2220022⪥⫏≰12212201)⋷(⫏≰11010212↺⫏≰2022221)⩍⋽⫝̸(⫏≰10212101⊋≦⊧⫏≰2120202))","cot":[{"info":"⫏≰12211021⇯⋐=⫏≰200200022","layer":3},{"info":"⫏≰1110011↙⫏≰11002022=⫏≰-110020220","layer":3},{"info":"⫏≰200200022≌⫏≰-110020220=NaN","layer":2},{"info":"⫏≰1221000∁=⫏≰1221000","layer":3},{"info":"⫏≰1221002⪝⫏≰1210122=⫏≰122222","layer":3},{"info":"⫏≰1221000∠⫱⫏≰122222=⫏≰1200201","layer":2},{"info":"NaN≓∲⫏≰1200201=NaN","layer":1},{"info":"⫏≰10101020⪭⫏≰1120222=⫏≰12","layer":3},{"info":"⫏≰2220022⪥⫏≰12212201=⫏≰122222111","layer":3},{"info":"⫏≰12≝⊿⫏≰122222111=⫏≰-1100200220","layer":2},{"info":"⫏≰11010212↺⫏≰2022221=⫏≰2022221","layer":3},{"info":"⫏≰10212101⊋≦⊧⫏≰2120202=⫏≰-11211121","layer":3},{"info":"⫏≰2022221⩍⋽⫝̸⫏≰-11211121=⫏≰20112000","layer":2},{"info":"⫏≰-1100200220⋷⫏≰20112000=⫏≰2201101210","layer":1},{"info":"NaN⪔⫏≰2201101210=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"(($2285$⩌⋺$1012$)⫽⇹≛)⇄(($2012$⫡⨏$1392$)⇮⋭(⋣$5509$))⩚⊴⇥(-$5671$↳≱$1962$⩼⇪↪($2796$⫚↹⊑$1558$))","expression":"((⫏≰10010122⩌⋺⫏≰1101111)⫽⇹≛)⇄((⫏≰2202112⫡⨏⫏≰1220120)⇮⋭(⋣⫏≰21120001))⩚⊴⇥(-⫏≰21210001↳≱⫏≰2200200⩼⇪↪(⫏≰10211120⫚↹⊑⫏≰2010201))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":377,"operation_count":11,"complexity_ratio":34.27272727272727,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2285,"base":3},"right_expr":{"type":"numeric_atoms","value":1012,"base":3}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2012,"base":3},"right_expr":{"type":"numeric_atoms","value":1392,"base":3}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":5509,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5671,"base":3},"right_expr":{"type":"numeric_atoms","value":1962,"base":3}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2796,"base":3},"right_expr":{"type":"numeric_atoms","value":1558,"base":3}}}}},"used_operators":["NTOWxs364D","3EYGwJThht","NNaDxxp6OQ","g7Hmc5v1ko","vkpjKywKVM","QMFrweE19q","zQWRhDnn8F","t8gj7n24qd","ocnLzx9CaJ","JwTKLfZU96","dfKe02y8D2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⫏≰2110222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2285","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=1012, 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=-3418","layer":3},{"info":"compute unary expreesion, input=-3418, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=2012","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=1392, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13627","layer":3},{"info":"number node, value=5509","layer":4},{"info":"compute unary expreesion, input=5509, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1619551","layer":3},{"info":"compute binary expreesion, left_input=13627, right_input=-1619551, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=67, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=417","layer":1},{"info":"number node, value=5671","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=5671, right_input=1962, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2796","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=2796, right_input=1558, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=2346","layer":2},{"info":"compute unary expreesion, input=2346, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2346","layer":1},{"info":"compute binary expreesion, left_input=417, right_input=-2346, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1808","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10010122⩌⋺⫏≰1101111)⫽⇹≛)⇄((⫏≰2202112⫡⨏⫏≰1220120)⇮⋭(⋣⫏≰21120001))⩚⊴⇥(-⫏≰21210001↳≱⫏≰2200200⩼⇪↪(⫏≰10211120⫚↹⊑⫏≰2010201))=⫏≰2110222","reverse_text":"⫏≰2110222=((⫏≰10010122⩌⋺⫏≰1101111)⫽⇹≛)⇄((⫏≰2202112⫡⨏⫏≰1220120)⇮⋭(⋣⫏≰21120001))⩚⊴⇥(-⫏≰21210001↳≱⫏≰2200200⩼⇪↪(⫏≰10211120⫚↹⊑⫏≰2010201))","cot":[{"info":"⫏≰10010122⩌⋺⫏≰1101111=⫏≰-11200121","layer":3},{"info":"⫏≰-11200121⫽⇹≛=⫏≰101002","layer":2},{"info":"⫏≰2202112⫡⨏⫏≰1220120=⫏≰200200201","layer":3},{"info":"⋣⫏≰21120001=⫏≰-10001021121101","layer":3},{"info":"⫏≰200200201⇮⋭⫏≰-10001021121101=⫏≰2111","layer":2},{"info":"⫏≰101002⇄⫏≰2111=⫏≰120110","layer":1},{"info":"⫏≰21210001↳≱⫏≰2200200=⫏≰0","layer":3},{"info":"⫏≰10211120⫚↹⊑⫏≰2010201=⫏≰-121120","layer":3},{"info":"⫏≰0⩼⇪↪⫏≰-121120=⫏≰10012220","layer":2},{"info":"-⫏≰10012220=⫏≰-10012220","layer":1},{"info":"⫏≰120110⩚⊴⇥⫏≰-10012220=⫏≰2110222","layer":0}]}
{"id":289,"expression_no_base_symbol":"(($2385$*$2230$)≦↸(⩏⊷≩$4040$)⋳⪒(⇖$2949$)+⇶⊼(≸$3927$))⪭((↩$5408$∳⫺$3166$)⪨≂(⊊≼∋($1129$⫭)))","expression":"((⫏≰10021100*⫏≰10001121)≦↸(⩏⊷≩⫏≰12112122)⋳⪒(⇖⫏≰11001020)+⇶⊼(≸⫏≰12101110))⪭((↩⫏≰21102022∳⫺⫏≰11100021)⪨≂(⊊≼∋(⫏≰1112211⫭)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9524,"operation_count":13,"complexity_ratio":732.6153846153846,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2385,"base":3},"right_expr":{"type":"numeric_atoms","value":2230,"base":3}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4040,"base":3}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2949,"base":3}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3927,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5408,"base":3},"right_expr":{"type":"numeric_atoms","value":3166,"base":3}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1129,"base":3}}}}},"used_operators":["j9kHMeSvPp","12rbrZMWeM","RygbFNSyEJ","9HNa5Wba9A","uOZ1tnYMDE","TpPTUOHfaN","tfWHHpNKUN","eOf03JbCpp","sdazOOVcIp","jLgFTUHLKL","AzXXKTstlj","FWz7pXsQhA","t4WUHVGj7f"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","23Mk6UjR3U","12rbrZMWeM","AHs5Up7iyr","2DQ55sFlQl","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","B5M0gjZbta","jCPkEVoL5K","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"⫏≰12","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=2230, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5318550","layer":3},{"info":"number node, value=4040","layer":4},{"info":"compute unary expreesion, input=4040, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=7779","layer":3},{"info":"compute binary expreesion, left_input=5318550, right_input=7779, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10651977","layer":2},{"info":"number node, value=2949","layer":4},{"info":"compute unary expreesion, input=2949, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=3927","layer":4},{"info":"compute unary expreesion, input=3927, 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":3},{"info":"compute binary expreesion, left_input=160, right_input=58, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10651977, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=5408","layer":4},{"info":"number node, value=3166","layer":4},{"info":"compute binary expreesion, left_input=5408, right_input=3166, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3660","layer":2},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=3628","layer":3},{"info":"compute unary expreesion, input=3628, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=3660, right_input=-447, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8316","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8316, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10021100*⫏≰10001121)≦↸(⩏⊷≩⫏≰12112122)⋳⪒(⇖⫏≰11001020)+⇶⊼(≸⫏≰12101110))⪭((↩⫏≰21102022∳⫺⫏≰11100021)⪨≂(⊊≼∋(⫏≰1112211⫭)))=⫏≰12","reverse_text":"⫏≰12=((⫏≰10021100*⫏≰10001121)≦↸(⩏⊷≩⫏≰12112122)⋳⪒(⇖⫏≰11001020)+⇶⊼(≸⫏≰12101110))⪭((↩⫏≰21102022∳⫺⫏≰11100021)⪨≂(⊊≼∋(⫏≰1112211⫭)))","cot":[{"info":"⫏≰10021100*⫏≰10001121=⫏≰101000012200100","layer":3},{"info":"⩏⊷≩⫏≰12112122=⫏≰101200010","layer":3},{"info":"⫏≰101000012200100≦↸⫏≰101200010=⫏≰-202001011202200","layer":2},{"info":"⇖⫏≰11001020=⫏≰12221","layer":3},{"info":"≸⫏≰12101110=⫏≰2011","layer":3},{"info":"⫏≰12221+⇶⊼⫏≰2011=NaN","layer":2},{"info":"⫏≰-202001011202200⋳⪒NaN=NaN","layer":1},{"info":"⫏≰21102022∳⫺⫏≰11100021=⫏≰-100122","layer":3},{"info":"↩⫏≰-100122=⫏≰12000120","layer":2},{"info":"⫏≰1112211⫭=⫏≰11222101","layer":3},{"info":"⊊≼∋⫏≰11222101=⫏≰-121120","layer":2},{"info":"⫏≰12000120⪨≂⫏≰-121120=⫏≰102102000","layer":1},{"info":"NaN⪭⫏≰102102000=⫏≰12","layer":0}]}
{"id":290,"expression_no_base_symbol":"(⇤←(⫇$1889$)⪃⊛⇣($7828$⨎$1627$))⫑","expression":"(⇤←(⫇⫏≰2120222)⪃⊛⇣(⫏≰101201221⨎⫏≰2020021))⫑","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":658,"operation_count":5,"complexity_ratio":131.6,"tree":{"type":"unary","operator":"⫑","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1889,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7828,"base":3},"right_expr":{"type":"numeric_atoms","value":1627,"base":3}}}}},"used_operators":["CgIo77xlM2","jfAgQ2OQeM","rrgAzCduG9","YjI8oCXuph","rJVOvQCfKK"],"dependent_operators":["cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫏≰-122210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1889","layer":4},{"info":"compute unary expreesion, input=1889, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2564","layer":3},{"info":"number node, value=7828","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=7828, right_input=1627, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1627","layer":3},{"info":"compute binary expreesion, left_input=-2564, right_input=1627, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-4804","layer":1},{"info":"compute unary expreesion, input=-4804, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":0}],"base":3,"result_base":3,"text":"(⇤←(⫇⫏≰2120222)⪃⊛⇣(⫏≰101201221⨎⫏≰2020021))⫑=⫏≰-122210","reverse_text":"⫏≰-122210=(⇤←(⫇⫏≰2120222)⪃⊛⇣(⫏≰101201221⨎⫏≰2020021))⫑","cot":[{"info":"⫇⫏≰2120222=⫏≰-10111222","layer":3},{"info":"⫏≰101201221⨎⫏≰2020021=⫏≰2020021","layer":3},{"info":"⫏≰-10111222⪃⊛⇣⫏≰2020021=⫏≰1200201","layer":2},{"info":"⇤←⫏≰1200201=⫏≰-20120221","layer":1},{"info":"⫏≰-20120221⫑=⫏≰-122210","layer":0}]}
{"id":291,"expression_no_base_symbol":"((∤↝($1545$⨰$4743$))⩱)≎⪠((⇈$8293$)∑⇟⊟$5107$⇍⊗$1501$⫳≱↱(⇁⨣⪵$4611$)⊹∫⫚$1164$⨂≜$1442$)","expression":"((∤↝(⫏≰2010020⨰⫏≰20111200))⩱)≎⪠((⇈⫏≰102101011)∑⇟⊟⫏≰21000011⇍⊗⫏≰2001121⫳≱↱(⇁⨣⪵⫏≰20022210)⊹∫⫚⫏≰1121010⨂≜⫏≰1222102)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":81337,"operation_count":11,"complexity_ratio":7394.272727272727,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1545,"base":3},"right_expr":{"type":"numeric_atoms","value":4743,"base":3}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":8293,"base":3}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5107,"base":3},"right_expr":{"type":"numeric_atoms","value":1501,"base":3}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4611,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1164,"base":3},"right_expr":{"type":"numeric_atoms","value":1442,"base":3}}}}},"used_operators":["aNhz54LH3e","uyq1hVkAcj","3UMq87Qwqg","eewbuw0ToL","ZvLB05nZmT","U7g4x0WXJJ","SLLxy00UIr","5uvYHDjeKN","uWAJUKEvyW","inkyxCbjAn","k1SHOSEABc"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","B5M0gjZbta","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⫏≰222211101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1545","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=4743, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3188","layer":3},{"info":"compute unary expreesion, input=-3188, 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=-3188","layer":2},{"info":"compute unary expreesion, input=-3188, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=18878","layer":1},{"info":"number node, value=8293","layer":4},{"info":"compute unary expreesion, input=8293, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=5107","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=5107, right_input=1501, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-244, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4611","layer":4},{"info":"compute unary expreesion, input=4611, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=1442, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18878, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":3,"result_base":3,"text":"((∤↝(⫏≰2010020⨰⫏≰20111200))⩱)≎⪠((⇈⫏≰102101011)∑⇟⊟⫏≰21000011⇍⊗⫏≰2001121⫳≱↱(⇁⨣⪵⫏≰20022210)⊹∫⫚⫏≰1121010⨂≜⫏≰1222102)=⫏≰222211101","reverse_text":"⫏≰222211101=((∤↝(⫏≰2010020⨰⫏≰20111200))⩱)≎⪠((⇈⫏≰102101011)∑⇟⊟⫏≰21000011⇍⊗⫏≰2001121⫳≱↱(⇁⨣⪵⫏≰20022210)⊹∫⫚⫏≰1121010⨂≜⫏≰1222102)","cot":[{"info":"⫏≰2010020⨰⫏≰20111200=⫏≰-11101002","layer":3},{"info":"∤↝⫏≰-11101002=⫏≰-11101002","layer":2},{"info":"⫏≰-11101002⩱=⫏≰221220012","layer":1},{"info":"⇈⫏≰102101011=⫏≰-121120","layer":3},{"info":"⫏≰21000011⇍⊗⫏≰2001121=⫏≰-100001","layer":3},{"info":"⫏≰-121120∑⇟⊟⫏≰-100001=NaN","layer":2},{"info":"⇁⨣⪵⫏≰20022210=NaN","layer":3},{"info":"⫏≰1121010⨂≜⫏≰1222102=NaN","layer":3},{"info":"NaN⊹∫⫚NaN=NaN","layer":2},{"info":"NaN⫳≱↱NaN=NaN","layer":1},{"info":"⫏≰221220012≎⪠NaN=⫏≰222211101","layer":0}]}
{"id":292,"expression_no_base_symbol":"($6368$∺≝⩲$1374$⫘$2165$⩣⫁∢$5825$)⇤((⫛⫱⨽$6449$)⩺⋐⫨)≥⨤⩑((⫇$8110$≹⇙⪍$1021$)≬⋮(⊄⩳↩(⪛⨧$3662$)))","expression":"(⫏≰22201212∺≝⩲⫏≰1212220⫘⫏≰2222012⩣⫁∢⫏≰21222202)⇤((⫛⫱⨽⫏≰22211212)⩺⋐⫨)≥⨤⩑((⫇⫏≰102010101≹⇙⪍⫏≰1101211)≬⋮(⊄⩳↩(⪛⨧⫏≰12000122)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1968,"operation_count":12,"complexity_ratio":164.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6368,"base":3},"right_expr":{"type":"numeric_atoms","value":1374,"base":3}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2165,"base":3},"right_expr":{"type":"numeric_atoms","value":5825,"base":3}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6449,"base":3}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":8110,"base":3},"right_expr":{"type":"numeric_atoms","value":1021,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3662,"base":3}}}}},"used_operators":["gJLn6v0xnP","YSKBFp38Pu","48vC8HMD2b","KPf6cnQVty","JDUIKTTSIa","yS9ePUuUdn","DlLNRPXxWL","kbkesczE7y","YjI8oCXuph","AHs5Up7iyr","8w2t5hMYqp","6NJAcO2OWT"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6368","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=6368, right_input=1374, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2165","layer":4},{"info":"number node, value=5825","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=5825, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4169","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4169, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=196181","layer":2},{"info":"number node, value=6449","layer":4},{"info":"compute unary expreesion, input=6449, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=196181, right_input=0, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-978057","layer":1},{"info":"number node, value=8110","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=8110, right_input=1021, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":2},{"info":"number node, value=3662","layer":4},{"info":"compute unary expreesion, input=3662, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=8725","layer":3},{"info":"compute unary expreesion, input=8725, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-26175","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26175, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-978057, right_input=868, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"(⫏≰22201212∺≝⩲⫏≰1212220⫘⫏≰2222012⩣⫁∢⫏≰21222202)⇤((⫛⫱⨽⫏≰22211212)⩺⋐⫨)≥⨤⩑((⫇⫏≰102010101≹⇙⪍⫏≰1101211)≬⋮(⊄⩳↩(⪛⨧⫏≰12000122)))=⫏≰1200201","reverse_text":"⫏≰1200201=(⫏≰22201212∺≝⩲⫏≰1212220⫘⫏≰2222012⩣⫁∢⫏≰21222202)⇤((⫛⫱⨽⫏≰22211212)⩺⋐⫨)≥⨤⩑((⫇⫏≰102010101≹⇙⪍⫏≰1101211)≬⋮(⊄⩳↩(⪛⨧⫏≰12000122)))","cot":[{"info":"⫏≰22201212∺≝⩲⫏≰1212220=⫏≰12221","layer":3},{"info":"⫏≰2222012⩣⫁∢⫏≰21222202=⫏≰-12201102","layer":3},{"info":"⫏≰12221⫘⫏≰-12201102=⫏≰100222002222","layer":2},{"info":"⫛⫱⨽⫏≰22211212=⫏≰0","layer":3},{"info":"⫏≰0⩺⋐⫨=⫏≰0","layer":2},{"info":"⫏≰100222002222⇤⫏≰0=⫏≰-1211200122100","layer":1},{"info":"⫏≰102010101≹⇙⪍⫏≰1101211=NaN","layer":3},{"info":"⫇NaN=NaN","layer":2},{"info":"⪛⨧⫏≰12000122=⫏≰102222011","layer":3},{"info":"⊄⩳↩⫏≰102222011=⫏≰-1022220110","layer":2},{"info":"NaN≬⋮⫏≰-1022220110=⫏≰1012011","layer":1},{"info":"⫏≰-1211200122100≥⨤⩑⫏≰1012011=⫏≰1200201","layer":0}]}
{"id":293,"expression_no_base_symbol":"(($4618$⨑⩅≇$6546$≚⋢)⨰(⨩∲⋌$3147$≁↽≥$1584$))⇌⫙⪟(⩎⋉($4213$⊱⇼⊻$1986$⋾⨃∁$1151$⪢$2239$))","expression":"((⫏≰20100001⨑⩅≇⫏≰22222110≚⋢)⨰(⨩∲⋌⫏≰11022120≁↽≥⫏≰2011200))⇌⫙⪟(⩎⋉(⫏≰12210001⊱⇼⊻⫏≰2201120⋾⨃∁⫏≰1120122⪢⫏≰10001221))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9071,"operation_count":10,"complexity_ratio":907.1,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4618,"base":3},"right_expr":{"type":"numeric_atoms","value":6546,"base":3}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3147,"base":3},"right_expr":{"type":"numeric_atoms","value":1584,"base":3}}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4213,"base":3},"right_expr":{"type":"numeric_atoms","value":1986,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1151,"base":3},"right_expr":{"type":"numeric_atoms","value":2239,"base":3}}}}},"used_operators":["AFVx7xoS7T","eewbuw0ToL","MahUMFw56D","h92wMvzauj","aSik1wnThz","ncHt1X6cMc","FlXk3pOYe8","212REbPD9h","FyVja0WsTP","dWAJyo7jo9"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","oWn0xqSxBt","3Oe9XWJUTD","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4618","layer":4},{"info":"number node, value=6546","layer":4},{"info":"compute binary expreesion, left_input=4618, right_input=6546, 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=-13854","layer":3},{"info":"compute unary expreesion, input=-13854, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=3147","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=1584, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=47587","layer":3},{"info":"compute unary expreesion, input=47587, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-48110","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=-48110, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=48031","layer":1},{"info":"number node, value=4213","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=4213, right_input=1986, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=2239, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, 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":2},{"info":"compute unary expreesion, input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=48031, right_input=nan, 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":3,"result_base":3,"text":"((⫏≰20100001⨑⩅≇⫏≰22222110≚⋢)⨰(⨩∲⋌⫏≰11022120≁↽≥⫏≰2011200))⇌⫙⪟(⩎⋉(⫏≰12210001⊱⇼⊻⫏≰2201120⋾⨃∁⫏≰1120122⪢⫏≰10001221))=NaN","reverse_text":"NaN=((⫏≰20100001⨑⩅≇⫏≰22222110≚⋢)⨰(⨩∲⋌⫏≰11022120≁↽≥⫏≰2011200))⇌⫙⪟(⩎⋉(⫏≰12210001⊱⇼⊻⫏≰2201120⋾⨃∁⫏≰1120122⪢⫏≰10001221))","cot":[{"info":"⫏≰20100001⨑⩅≇⫏≰22222110=⫏≰-201000010","layer":3},{"info":"⫏≰-201000010≚⋢=⫏≰-10022","layer":2},{"info":"⫏≰11022120≁↽≥⫏≰2011200=⫏≰2102021111","layer":3},{"info":"⨩∲⋌⫏≰2102021111=⫏≰-2102222212","layer":2},{"info":"⫏≰-10022⨰⫏≰-2102222212=⫏≰2102212221","layer":1},{"info":"⫏≰12210001⊱⇼⊻⫏≰2201120=⫏≰121002","layer":3},{"info":"⫏≰1120122⪢⫏≰10001221=NaN","layer":3},{"info":"⫏≰121002⋾⨃∁NaN=NaN","layer":2},{"info":"⩎⋉NaN=NaN","layer":1},{"info":"⫏≰2102212221⇌⫙⪟NaN=NaN","layer":0}]}
{"id":294,"expression_no_base_symbol":"(≘(($7875$⪪$3314$)⨜⨶($1256$∳⫺$1327$)))≄⊠(⨵≀≌($1041$⨭⪣$5356$)⇌⫙⪟($2031$⫳≱↱$1011$))","expression":"(≘((⫏≰101210200⪪⫏≰11112202)⨜⨶(⫏≰1201112∳⫺⫏≰1211011)))≄⊠(⨵≀≌(⫏≰1102120⨭⪣⫏≰21100101)⇌⫙⪟(⫏≰2210020⫳≱↱⫏≰1101110))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24566,"operation_count":9,"complexity_ratio":2729.5555555555557,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":7875,"base":3},"right_expr":{"type":"numeric_atoms","value":3314,"base":3}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1256,"base":3},"right_expr":{"type":"numeric_atoms","value":1327,"base":3}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1041,"base":3},"right_expr":{"type":"numeric_atoms","value":5356,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2031,"base":3},"right_expr":{"type":"numeric_atoms","value":1011,"base":3}}}}},"used_operators":["vXNesLlMH1","tcjXMdvYtA","HiPekx5b7W","xD69zh8xqp","AzXXKTstlj","srAu1WTS94","AFVx7xoS7T","kn8WO9XteQ","ZvLB05nZmT"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⫏≰101121122201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7875","layer":4},{"info":"number node, value=3314","layer":4},{"info":"compute binary expreesion, left_input=7875, right_input=3314, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1185214","layer":3},{"info":"number node, value=1256","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=1327, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-1185214, right_input=-260, 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=-11852917","layer":2},{"info":"compute unary expreesion, input=-11852917, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":1},{"info":"number node, value=1041","layer":4},{"info":"number node, value=5356","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=5356, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-238","layer":3},{"info":"number node, value=2031","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=1011, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-238, right_input=-204, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=12769","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12769, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=208972","layer":0}],"base":3,"result_base":3,"text":"(≘((⫏≰101210200⪪⫏≰11112202)⨜⨶(⫏≰1201112∳⫺⫏≰1211011)))≄⊠(⨵≀≌(⫏≰1102120⨭⪣⫏≰21100101)⇌⫙⪟(⫏≰2210020⫳≱↱⫏≰1101110))=⫏≰101121122201","reverse_text":"⫏≰101121122201=(≘((⫏≰101210200⪪⫏≰11112202)⨜⨶(⫏≰1201112∳⫺⫏≰1211011)))≄⊠(⨵≀≌(⫏≰1102120⨭⪣⫏≰21100101)⇌⫙⪟(⫏≰2210020⫳≱↱⫏≰1101110))","cot":[{"info":"⫏≰101210200⪪⫏≰11112202=⫏≰-2020012210211","layer":3},{"info":"⫏≰1201112∳⫺⫏≰1211011=⫏≰-100122","layer":3},{"info":"⫏≰-2020012210211⨜⨶⫏≰-100122=⫏≰-211022012010221","layer":2},{"info":"≘⫏≰-211022012010221=NaN","layer":1},{"info":"⫏≰1102120⨭⪣⫏≰21100101=⫏≰-22211","layer":3},{"info":"⫏≰2210020⫳≱↱⫏≰1101110=⫏≰-21120","layer":3},{"info":"⫏≰-22211⇌⫙⪟⫏≰-21120=⫏≰11012","layer":2},{"info":"⨵≀≌⫏≰11012=⫏≰122111221","layer":1},{"info":"NaN≄⊠⫏≰122111221=⫏≰101121122201","layer":0}]}
{"id":295,"expression_no_base_symbol":"(($1779$⊍)⫚↹⊑$5064$⨿$5293$)⩼⇪↪(⊲⪭($3692$∑⇟⊟$1654$))⨳⩥⨓($3814$⊜)⩦($2550$⊠≄⫣)⪍↜⋙($4331$*$4401$∷($1001$⇯⋐))","expression":"((⫏≰2102220⊍)⫚↹⊑⫏≰20221120⨿⫏≰21021001)⩼⇪↪(⊲⪭(⫏≰12001202∑⇟⊟⫏≰2021021))⨳⩥⨓(⫏≰12020021⊜)⩦(⫏≰10111110⊠≄⫣)⪍↜⋙(⫏≰12221102*⫏≰20001000∷(⫏≰1101002⇯⋐))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4675,"operation_count":14,"complexity_ratio":333.92857142857144,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1779,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5064,"base":3},"right_expr":{"type":"numeric_atoms","value":5293,"base":3}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3692,"base":3},"right_expr":{"type":"numeric_atoms","value":1654,"base":3}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":3814,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2550,"base":3}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4331,"base":3},"right_expr":{"type":"numeric_atoms","value":4401,"base":3}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1001,"base":3}}}}},"used_operators":["nCS4ZIUYfx","ocnLzx9CaJ","dfKe02y8D2","3nqY3DE9mg","abYXlopdE0","k7HXdKtiEU","U7g4x0WXJJ","L05ObWFQCd","0kmYd0q39Y","Eev2Q7dYIw","DIvbN7qnHd","D3AQDKkPcf","9HNa5Wba9A","LkLIoiE525"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","i8ToyICDmI","xUOZtlo3hN","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1779","layer":4},{"info":"compute unary expreesion, input=1779, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=3657","layer":3},{"info":"number node, value=5064","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=5064, right_input=5293, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=3657, right_input=-319, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=3692","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=1654, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=3814","layer":4},{"info":"compute unary expreesion, input=3814, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-13520","layer":3},{"info":"number node, value=2550","layer":4},{"info":"compute unary expreesion, input=2550, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-13520, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-136163","layer":2},{"info":"number node, value=4331","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=4331, right_input=4401, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=19060731","layer":3},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=3881","layer":3},{"info":"compute binary expreesion, left_input=19060731, right_input=3881, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3881","layer":2},{"info":"compute binary expreesion, left_input=-136163, right_input=3881, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=672270","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=672270, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2102220⊍)⫚↹⊑⫏≰20221120⨿⫏≰21021001)⩼⇪↪(⊲⪭(⫏≰12001202∑⇟⊟⫏≰2021021))⨳⩥⨓(⫏≰12020021⊜)⩦(⫏≰10111110⊠≄⫣)⪍↜⋙(⫏≰12221102*⫏≰20001000∷(⫏≰1101002⇯⋐))=NaN","reverse_text":"NaN=((⫏≰2102220⊍)⫚↹⊑⫏≰20221120⨿⫏≰21021001)⩼⇪↪(⊲⪭(⫏≰12001202∑⇟⊟⫏≰2021021))⨳⩥⨓(⫏≰12020021⊜)⩦(⫏≰10111110⊠≄⫣)⪍↜⋙(⫏≰12221102*⫏≰20001000∷(⫏≰1101002⇯⋐))","cot":[{"info":"⫏≰2102220⊍=⫏≰12000110","layer":3},{"info":"⫏≰20221120⨿⫏≰21021001=⫏≰-102211","layer":3},{"info":"⫏≰12000110⫚↹⊑⫏≰-102211=⫏≰-121120","layer":2},{"info":"⫏≰12001202∑⇟⊟⫏≰2021021=NaN","layer":3},{"info":"⊲⪭NaN=NaN","layer":2},{"info":"⫏≰-121120⩼⇪↪NaN=NaN","layer":1},{"info":"⫏≰12020021⊜=⫏≰-200112202","layer":3},{"info":"⫏≰10111110⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰-200112202⩦⫏≰0=⫏≰-20220210002","layer":2},{"info":"⫏≰12221102*⫏≰20001000=⫏≰1022212101102000","layer":3},{"info":"⫏≰1101002⇯⋐=⫏≰12022202","layer":3},{"info":"⫏≰1022212101102000∷⫏≰12022202=⫏≰12022202","layer":2},{"info":"⫏≰-20220210002⪍↜⋙⫏≰12022202=⫏≰1021011011220","layer":1},{"info":"NaN⨳⩥⨓⫏≰1021011011220=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"((⨑⩽⪐($2186$≣⋋))∩⋅)⪘⫢($2284$⪃⊛⇣$3847$⇟⨁⪰)→⨶⪴(($1645$+⇶⊼$4170$)⊲⩕⊾($2580$⇷$6608$))","expression":"((⨑⩽⪐(⫏≰2222222≣⋋))∩⋅)⪘⫢(⫏≰10010121⪃⊛⇣⫏≰12021111⇟⨁⪰)→⨶⪴((⫏≰2020221+⇶⊼⫏≰12201110)⊲⩕⊾(⫏≰10112120⇷⫏≰100001202))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":37266,"operation_count":10,"complexity_ratio":3726.6,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2186,"base":3}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2284,"base":3},"right_expr":{"type":"numeric_atoms","value":3847,"base":3}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1645,"base":3},"right_expr":{"type":"numeric_atoms","value":4170,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2580,"base":3},"right_expr":{"type":"numeric_atoms","value":6608,"base":3}}}}},"used_operators":["oacrs7FA3X","2MzE1hQ0cz","AF7qkfDlqP","Tcnh7f0tEr","bF6eod5Gvf","BX1lVwlMe0","rrgAzCduG9","DmTXOeWf9t","TpPTUOHfaN","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","2DDjHMKMc0","xUOZtlo3hN","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2186","layer":4},{"info":"compute unary expreesion, input=2186, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"compute unary expreesion, input=789, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-668","layer":1},{"info":"number node, value=2284","layer":4},{"info":"number node, value=3847","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=3847, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1408","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=4170","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=4170, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2580","layer":4},{"info":"number node, value=6608","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=6608, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13216","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13216, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1408, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-668, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨑⩽⪐(⫏≰2222222≣⋋))∩⋅)⪘⫢(⫏≰10010121⪃⊛⇣⫏≰12021111⇟⨁⪰)→⨶⪴((⫏≰2020221+⇶⊼⫏≰12201110)⊲⩕⊾(⫏≰10112120⇷⫏≰100001202))=NaN","reverse_text":"NaN=((⨑⩽⪐(⫏≰2222222≣⋋))∩⋅)⪘⫢(⫏≰10010121⪃⊛⇣⫏≰12021111⇟⨁⪰)→⨶⪴((⫏≰2020221+⇶⊼⫏≰12201110)⊲⩕⊾(⫏≰10112120⇷⫏≰100001202))","cot":[{"info":"⫏≰2222222≣⋋=⫏≰0","layer":3},{"info":"⨑⩽⪐⫏≰0=⫏≰1002020","layer":2},{"info":"⫏≰1002020∩⋅=⫏≰-220202","layer":1},{"info":"⫏≰10010121⪃⊛⇣⫏≰12021111=⫏≰1200201","layer":3},{"info":"⫏≰1200201⇟⨁⪰=⫏≰-1221011","layer":2},{"info":"⫏≰2020221+⇶⊼⫏≰12201110=NaN","layer":3},{"info":"⫏≰10112120⇷⫏≰100001202=⫏≰200010111","layer":3},{"info":"NaN⊲⩕⊾⫏≰200010111=NaN","layer":2},{"info":"⫏≰-1221011→⨶⪴NaN=NaN","layer":1},{"info":"⫏≰-220202⪘⫢NaN=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"($4319$⊉≛↸$6711$)∴($3246$⊨$8459$)⨟⋌⩍($3205$⨫⇇↔$1062$)+⪬∐(⫎≠⋺$4289$)/($1044$⫿)⨐⩸⫘(⇜$1053$)∙⊟(↓⇌($1276$⇆⨓≜))","expression":"(⫏≰12220222⊉≛↸⫏≰100012120)∴(⫏≰11110020⊨⫏≰102121022)⨟⋌⩍(⫏≰11101201⨫⇇↔⫏≰1110100)+⪬∐(⫎≠⋺⫏≰12212212)/(⫏≰1102200⫿)⨐⩸⫘(⇜⫏≰1110000)∙⊟(↓⇌(⫏≰1202021⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":586,"operation_count":14,"complexity_ratio":41.857142857142854,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4319,"base":3},"right_expr":{"type":"numeric_atoms","value":6711,"base":3}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3246,"base":3},"right_expr":{"type":"numeric_atoms","value":8459,"base":3}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3205,"base":3},"right_expr":{"type":"numeric_atoms","value":1062,"base":3}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4289,"base":3}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1044,"base":3}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1053,"base":3}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1276,"base":3}}}}},"used_operators":["XhwjNDsVaA","rGHVDoGpnC","hrf7POJlIJ","DZ8iAZOCBD","vg4gO5BX6G","2GS7woTJqF","LXhwmt4mBO","LYeZOJ0nQG","SxTAKzQCrw","fu6greOZ01","9tKT6PmtkH","lFBm8KRb8F","PxpmPgHHJV","KvvgdUaMHJ"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","3ViojmjbAp","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","Uaa54Peajs","KYD54nUTWz"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4319","layer":4},{"info":"number node, value=6711","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=6711, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8638","layer":3},{"info":"number node, value=3246","layer":4},{"info":"number node, value=8459","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=8459, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=14015","layer":3},{"info":"compute binary expreesion, left_input=8638, right_input=14015, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=18924","layer":2},{"info":"number node, value=3205","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=1062, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=4289","layer":4},{"info":"compute unary expreesion, input=4289, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1581","layer":2},{"info":"compute binary expreesion, left_input=18924, right_input=1581, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1044","layer":3},{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8832","layer":3},{"info":"compute binary expreesion, left_input=1044, right_input=-8832, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1276","layer":4},{"info":"compute unary expreesion, input=1276, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12220222⊉≛↸⫏≰100012120)∴(⫏≰11110020⊨⫏≰102121022)⨟⋌⩍(⫏≰11101201⨫⇇↔⫏≰1110100)+⪬∐(⫎≠⋺⫏≰12212212)/(⫏≰1102200⫿)⨐⩸⫘(⇜⫏≰1110000)∙⊟(↓⇌(⫏≰1202021⇆⨓≜))=NaN","reverse_text":"NaN=(⫏≰12220222⊉≛↸⫏≰100012120)∴(⫏≰11110020⊨⫏≰102121022)⨟⋌⩍(⫏≰11101201⨫⇇↔⫏≰1110100)+⪬∐(⫎≠⋺⫏≰12212212)/(⫏≰1102200⫿)⨐⩸⫘(⇜⫏≰1110000)∙⊟(↓⇌(⫏≰1202021⇆⨓≜))","cot":[{"info":"⫏≰12220222⊉≛↸⫏≰100012120=⫏≰102211221","layer":3},{"info":"⫏≰11110020⊨⫏≰102121022=⫏≰201020002","layer":3},{"info":"⫏≰102211221∴⫏≰201020002=⫏≰221221220","layer":2},{"info":"⫏≰11101201⨫⇇↔⫏≰1110100=⫏≰-201112","layer":3},{"info":"⫎≠⋺⫏≰12212212=⫏≰0","layer":3},{"info":"⫏≰-201112+⪬∐⫏≰0=⫏≰2011120","layer":2},{"info":"⫏≰221221220⨟⋌⩍⫏≰2011120=NaN","layer":1},{"info":"⫏≰1102200⫿=⫏≰1102200","layer":3},{"info":"⇜⫏≰1110000=⫏≰-110010010","layer":3},{"info":"⫏≰1102200⨐⩸⫘⫏≰-110010010=NaN","layer":2},{"info":"⫏≰1202021⇆⨓≜=NaN","layer":3},{"info":"↓⇌NaN=NaN","layer":2},{"info":"NaN∙⊟NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"⩰(↩(($2878$⫭)⪠⩆⊳))","expression":"⩰(↩((⫏≰10221121⫭)⪠⩆⊳))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":4,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2878,"base":3}}}}},"used_operators":["WkeUrDK8WX","jLgFTUHLKL","JLbD19bQDL","t4WUHVGj7f"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"⫏≰-22000110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2878","layer":4},{"info":"compute unary expreesion, input=2878, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=8875","layer":3},{"info":"compute unary expreesion, input=8875, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":1},{"info":"compute unary expreesion, input=4844, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5844","layer":0}],"base":3,"result_base":3,"text":"⩰(↩((⫏≰10221121⫭)⪠⩆⊳))=⫏≰-22000110","reverse_text":"⫏≰-22000110=⩰(↩((⫏≰10221121⫭)⪠⩆⊳))","cot":[{"info":"⫏≰10221121⫭=⫏≰110011201","layer":3},{"info":"⫏≰110011201⪠⩆⊳=⫏≰0","layer":2},{"info":"↩⫏≰0=⫏≰20122102","layer":1},{"info":"⩰⫏≰20122102=⫏≰-22000110","layer":0}]}
{"id":299,"expression_no_base_symbol":"(($1268$⩺⪪$6008$)⫰⋱$2865$⪮%⊝$1084$)∋(⨵≀≌$8101$⩚⊴⇥$5959$)⊋(($2347$⫭)⊚⫡⫭)⇤(($1948$⋖∅⋲)⋥⋵⩄($2644$⫢⨠$3994$))","expression":"((⫏≰1201222⩺⪪⫏≰22020112)⫰⋱⫏≰10221010⪮%⊝⫏≰1111011)∋(⨵≀≌⫏≰102010001⩚⊴⇥⫏≰22011201)⊋((⫏≰10012221⫭)⊚⫡⫭)⇤((⫏≰2200011⋖∅⋲)⋥⋵⩄(⫏≰10121221⫢⨠⫏≰12110221))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14771,"operation_count":13,"complexity_ratio":1136.2307692307693,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1268,"base":3},"right_expr":{"type":"numeric_atoms","value":6008,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2865,"base":3},"right_expr":{"type":"numeric_atoms","value":1084,"base":3}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8101,"base":3},"right_expr":{"type":"numeric_atoms","value":5959,"base":3}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2347,"base":3}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1948,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2644,"base":3},"right_expr":{"type":"numeric_atoms","value":3994,"base":3}}}}},"used_operators":["W4tP9CfskL","ukq6epAj5P","6o9Blt3TJ6","uvdQJvN4PV","IWmyXbctLI","srAu1WTS94","NTOWxs364D","YSKBFp38Pu","SpZWOsLKZJ","t4WUHVGj7f","7t3wd0Fuz7","L95AwlJzhO","xlXykHWxX1"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"number node, value=6008","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=6008, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=2865","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=1084, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6046","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=6046, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=1851","layer":2},{"info":"number node, value=8101","layer":4},{"info":"number node, value=5959","layer":4},{"info":"compute binary expreesion, left_input=8101, right_input=5959, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14181","layer":3},{"info":"compute unary expreesion, input=-14181, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=201100761","layer":2},{"info":"compute binary expreesion, left_input=1851, right_input=201100761, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=inf","layer":1},{"info":"number node, value=2347","layer":4},{"info":"compute unary expreesion, input=2347, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=7282","layer":3},{"info":"compute unary expreesion, input=7282, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-13638","layer":2},{"info":"number node, value=1948","layer":4},{"info":"compute unary expreesion, input=1948, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=2644","layer":4},{"info":"number node, value=3994","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=3994, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=160, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-13638, right_input=113, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=70473","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=70473, 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=inf","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1201222⩺⪪⫏≰22020112)⫰⋱⫏≰10221010⪮%⊝⫏≰1111011)∋(⨵≀≌⫏≰102010001⩚⊴⇥⫏≰22011201)⊋((⫏≰10012221⫭)⊚⫡⫭)⇤((⫏≰2200011⋖∅⋲)⋥⋵⩄(⫏≰10121221⫢⨠⫏≰12110221))=Inf","reverse_text":"Inf=((⫏≰1201222⩺⪪⫏≰22020112)⫰⋱⫏≰10221010⪮%⊝⫏≰1111011)∋(⨵≀≌⫏≰102010001⩚⊴⇥⫏≰22011201)⊋((⫏≰10012221⫭)⊚⫡⫭)⇤((⫏≰2200011⋖∅⋲)⋥⋵⩄(⫏≰10121221⫢⨠⫏≰12110221))","cot":[{"info":"⫏≰1201222⩺⪪⫏≰22020112=⫏≰-2111100","layer":3},{"info":"⫏≰10221010⪮%⊝⫏≰1111011=⫏≰22021221","layer":3},{"info":"⫏≰-2111100⫰⋱⫏≰22021221=⫏≰2112120","layer":2},{"info":"⫏≰102010001⩚⊴⇥⫏≰22011201=⫏≰-201110020","layer":3},{"info":"⨵≀≌⫏≰-201110020=⫏≰112000101222101100","layer":2},{"info":"⫏≰2112120∋⫏≰112000101222101100=Inf","layer":1},{"info":"⫏≰10012221⫭=⫏≰100222201","layer":3},{"info":"⫏≰100222201⊚⫡⫭=⫏≰-200201010","layer":2},{"info":"⫏≰2200011⋖∅⋲=⫏≰-201112001210","layer":3},{"info":"⫏≰10121221⫢⨠⫏≰12110221=⫏≰12221","layer":3},{"info":"⫏≰-201112001210⋥⋵⩄⫏≰12221=⫏≰11012","layer":2},{"info":"⫏≰-200201010⇤⫏≰11012=⫏≰10120200010","layer":1},{"info":"Inf⊋⫏≰10120200010=Inf","layer":0}]}
{"id":300,"expression_no_base_symbol":"($1014$⨼⩣$4211$⫃⨇$3322$⩧⪆$1090$)∘($1079$≹⇙⪍$1688$∇⊂⋱($2715$∲⫓$3397$))⨫⇇↔($4330$⨔≚≋$7867$⫡⨏$2310$⩦$3317$)⋕⪉⪜(↥≼⋛$1017$≦↸$1115$)","expression":"(⫏≰1101120⨼⩣⫏≰12202222⫃⨇⫏≰11120001⩧⪆⫏≰1111101)∘(⫏≰1110222≹⇙⪍⫏≰2022112∇⊂⋱(⫏≰10201120∲⫓⫏≰11122211))⨫⇇↔(⫏≰12221101⨔≚≋⫏≰101210101⫡⨏⫏≰10011120⩦⫏≰11112212)⋕⪉⪜(↥≼⋛⫏≰1101200≦↸⫏≰1112022)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":540,"operation_count":14,"complexity_ratio":38.57142857142857,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1014,"base":3},"right_expr":{"type":"numeric_atoms","value":4211,"base":3}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3322,"base":3},"right_expr":{"type":"numeric_atoms","value":1090,"base":3}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1079,"base":3},"right_expr":{"type":"numeric_atoms","value":1688,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2715,"base":3},"right_expr":{"type":"numeric_atoms","value":3397,"base":3}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4330,"base":3},"right_expr":{"type":"numeric_atoms","value":7867,"base":3}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2310,"base":3},"right_expr":{"type":"numeric_atoms","value":3317,"base":3}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1017,"base":3},"right_expr":{"type":"numeric_atoms","value":1115,"base":3}}}}},"used_operators":["LXhwmt4mBO","Z5m6OM72h2","09Ly4LVMIf","JxwMv5le6e","Ikt5ks8PT7","nhYeJWJD5X","AHs5Up7iyr","i8ToyICDmI","z6LnFrNh4i","QMFrweE19q","Z57zeUYC9z","0kmYd0q39Y","x5lMkHmzsq","RygbFNSyEJ"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eewbuw0ToL","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⫏≰-201112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"number node, value=4211","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=4211, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3322","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=1090, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1090","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1090, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"number node, value=1079","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=1688, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2715","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=3397, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=4330","layer":4},{"info":"number node, value=7867","layer":4},{"info":"compute binary expreesion, left_input=4330, right_input=7867, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2310","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=3317, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4620","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=4620, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=59383","layer":2},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1115, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-3583","layer":3},{"info":"compute unary expreesion, input=-3583, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-3550","layer":2},{"info":"compute binary expreesion, left_input=59383, right_input=-3550, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1101120⨼⩣⫏≰12202222⫃⨇⫏≰11120001⩧⪆⫏≰1111101)∘(⫏≰1110222≹⇙⪍⫏≰2022112∇⊂⋱(⫏≰10201120∲⫓⫏≰11122211))⨫⇇↔(⫏≰12221101⨔≚≋⫏≰101210101⫡⨏⫏≰10011120⩦⫏≰11112212)⋕⪉⪜(↥≼⋛⫏≰1101200≦↸⫏≰1112022)=⫏≰-201112","reverse_text":"⫏≰-201112=(⫏≰1101120⨼⩣⫏≰12202222⫃⨇⫏≰11120001⩧⪆⫏≰1111101)∘(⫏≰1110222≹⇙⪍⫏≰2022112∇⊂⋱(⫏≰10201120∲⫓⫏≰11122211))⨫⇇↔(⫏≰12221101⨔≚≋⫏≰101210101⫡⨏⫏≰10011120⩦⫏≰11112212)⋕⪉⪜(↥≼⋛⫏≰1101200≦↸⫏≰1112022)","cot":[{"info":"⫏≰1101120⨼⩣⫏≰12202222=NaN","layer":3},{"info":"⫏≰11120001⩧⪆⫏≰1111101=⫏≰-1111101","layer":3},{"info":"NaN⫃⨇⫏≰-1111101=NaN","layer":2},{"info":"⫏≰1110222≹⇙⪍⫏≰2022112=NaN","layer":3},{"info":"⫏≰10201120∲⫓⫏≰11122211=⫏≰0","layer":3},{"info":"NaN∇⊂⋱⫏≰0=NaN","layer":2},{"info":"NaN∘NaN=NaN","layer":1},{"info":"⫏≰12221101⨔≚≋⫏≰101210101=⫏≰111112122","layer":3},{"info":"⫏≰10011120⩦⫏≰11112212=⫏≰20100010","layer":3},{"info":"⫏≰111112122⫡⨏⫏≰20100010=⫏≰10000110101","layer":2},{"info":"⫏≰1101200≦↸⫏≰1112022=⫏≰-11220201","layer":3},{"info":"↥≼⋛⫏≰-11220201=⫏≰-11212111","layer":2},{"info":"⫏≰10000110101⋕⪉⪜⫏≰-11212111=⫏≰10211210","layer":1},{"info":"NaN⨫⇇↔⫏≰10211210=⫏≰-201112","layer":0}]}
{"id":301,"expression_no_base_symbol":"(⪲⇎($1068$⩘$5043$∽$1623$⪄$1145$))∺≝⩲(∮($7394$⫁⪎$4486$∣($1566$+⇶⊼$2794$)))","expression":"(⪲⇎(⫏≰1110120⩘⫏≰20220210∽⫏≰2020010⪄⫏≰1120102))∺≝⩲(∮(⫏≰101010212⫁⪎⫏≰20011011∣(⫏≰2011000+⇶⊼⫏≰10211111)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":531,"operation_count":9,"complexity_ratio":59.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1068,"base":3},"right_expr":{"type":"numeric_atoms","value":5043,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1623,"base":3},"right_expr":{"type":"numeric_atoms","value":1145,"base":3}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":7394,"base":3},"right_expr":{"type":"numeric_atoms","value":4486,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1566,"base":3},"right_expr":{"type":"numeric_atoms","value":2794,"base":3}}}}},"used_operators":["KPf6cnQVty","XPYlsWDdGa","y4ImoPnbV5","cHh1gJQ2o6","SUmda5xLS4","CqXKPLVYql","PPChnnnBFF","xRrnTEsQ6j","TpPTUOHfaN"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AHs5Up7iyr"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":4},{"info":"number node, value=5043","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=5043, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1623","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=1145, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-240873","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-240873, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=721997","layer":2},{"info":"compute unary expreesion, input=721997, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=1443994","layer":1},{"info":"number node, value=7394","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=7394, right_input=4486, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2908","layer":3},{"info":"number node, value=1566","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=2794, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2908, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2908","layer":2},{"info":"compute unary expreesion, input=2908, 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=1443994, right_input=67, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⪲⇎(⫏≰1110120⩘⫏≰20220210∽⫏≰2020010⪄⫏≰1120102))∺≝⩲(∮(⫏≰101010212⫁⪎⫏≰20011011∣(⫏≰2011000+⇶⊼⫏≰10211111)))=⫏≰12221","reverse_text":"⫏≰12221=(⪲⇎(⫏≰1110120⩘⫏≰20220210∽⫏≰2020010⪄⫏≰1120102))∺≝⩲(∮(⫏≰101010212⫁⪎⫏≰20011011∣(⫏≰2011000+⇶⊼⫏≰10211111)))","cot":[{"info":"⫏≰1110120⩘⫏≰20220210=⫏≰12221","layer":3},{"info":"⫏≰2020010⪄⫏≰1120102=⫏≰-110020102020","layer":3},{"info":"⫏≰12221∽⫏≰-110020102020=⫏≰1100200101122","layer":2},{"info":"⪲⇎⫏≰1100200101122=⫏≰2201100210021","layer":1},{"info":"⫏≰101010212⫁⪎⫏≰20011011=⫏≰10222201","layer":3},{"info":"⫏≰2011000+⇶⊼⫏≰10211111=NaN","layer":3},{"info":"⫏≰10222201∣NaN=⫏≰10222201","layer":2},{"info":"∮⫏≰10222201=⫏≰2111","layer":1},{"info":"⫏≰2201100210021∺≝⩲⫏≰2111=⫏≰12221","layer":0}]}
{"id":302,"expression_no_base_symbol":"((⫶⊄≣($6121$⪚$1921$))⨎(≱⇩⩕$2813$⪘⫢$1265$))∣((≛$1097$)⩵∡($1824$⇼⇔∾$1719$))+⪬∐(($3607$⫿)⇚⪠)","expression":"((⫶⊄≣(⫏≰22101201⪚⫏≰2122011))⨎(≱⇩⩕⫏≰10212012⪘⫢⫏≰1201212))∣((≛⫏≰1111122)⩵∡(⫏≰2111120⇼⇔∾⫏≰2100200))+⪬∐((⫏≰11221121⫿)⇚⪠)","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11799,"operation_count":12,"complexity_ratio":983.25,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":6121,"base":3},"right_expr":{"type":"numeric_atoms","value":1921,"base":3}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2813,"base":3},"right_expr":{"type":"numeric_atoms","value":1265,"base":3}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1097,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1824,"base":3},"right_expr":{"type":"numeric_atoms","value":1719,"base":3}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":3607,"base":3}}}}},"used_operators":["PPChnnnBFF","rJVOvQCfKK","wxb3vTeyAj","HrjLwUk87U","3DZMoQKiUl","oacrs7FA3X","2GS7woTJqF","Y7wcNGrDQJ","W7eaUhjymW","tifHPKVTfV","Loh9y4A90B","9tKT6PmtkH"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"⫏≰11012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6121","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=6121, right_input=1921, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=8044","layer":3},{"info":"compute unary expreesion, input=8044, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=1164848329","layer":2},{"info":"number node, value=2813","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=2813, right_input=1265, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5502","layer":3},{"info":"compute unary expreesion, input=5502, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=1164848329, right_input=113, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=113","layer":1},{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, 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":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=1719, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-105","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=-105, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-196","layer":2},{"info":"number node, value=3607","layer":4},{"info":"compute unary expreesion, input=3607, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=3607","layer":3},{"info":"compute unary expreesion, input=3607, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=26020898","layer":2},{"info":"compute binary expreesion, left_input=-196, right_input=26020898, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=588","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=588, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=113","layer":0}],"base":3,"result_base":3,"text":"((⫶⊄≣(⫏≰22101201⪚⫏≰2122011))⨎(≱⇩⩕⫏≰10212012⪘⫢⫏≰1201212))∣((≛⫏≰1111122)⩵∡(⫏≰2111120⇼⇔∾⫏≰2100200))+⪬∐((⫏≰11221121⫿)⇚⪠)=⫏≰11012","reverse_text":"⫏≰11012=((⫶⊄≣(⫏≰22101201⪚⫏≰2122011))⨎(≱⇩⩕⫏≰10212012⪘⫢⫏≰1201212))∣((≛⫏≰1111122)⩵∡(⫏≰2111120⇼⇔∾⫏≰2100200))+⪬∐((⫏≰11221121⫿)⇚⪠)","cot":[{"info":"⫏≰22101201⪚⫏≰2122011=⫏≰102000221","layer":3},{"info":"⫶⊄≣⫏≰102000221=⫏≰10000011212102111201","layer":2},{"info":"⫏≰10212012⪘⫢⫏≰1201212=⫏≰21112210","layer":3},{"info":"≱⇩⩕⫏≰21112210=⫏≰11012","layer":2},{"info":"⫏≰10000011212102111201⨎⫏≰11012=⫏≰11012","layer":1},{"info":"≛⫏≰1111122=⫏≰-101","layer":3},{"info":"⫏≰2111120⇼⇔∾⫏≰2100200=⫏≰-10220","layer":3},{"info":"⫏≰-101⩵∡⫏≰-10220=⫏≰-21021","layer":2},{"info":"⫏≰11221121⫿=⫏≰11221121","layer":3},{"info":"⫏≰11221121⇚⪠=⫏≰1210221222221222","layer":2},{"info":"⫏≰-21021+⪬∐⫏≰1210221222221222=⫏≰210210","layer":1},{"info":"⫏≰11012∣⫏≰210210=⫏≰11012","layer":0}]}
{"id":303,"expression_no_base_symbol":"(∤($5057$⇴$5074$⫌⩹⨱))-$7710$⨑⩅≇$1144$⇄(∓⪦$1059$)∠↢(↨⩢⫨$1162$⫁⪎$2302$)","expression":"(∤(⫏≰20221022⇴⫏≰20221221⫌⩹⨱))-⫏≰101120120⨑⩅≇⫏≰1120101⇄(∓⪦⫏≰1110020)∠↢(↨⩢⫨⫏≰1121001⫁⪎⫏≰10011021)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1330,"operation_count":10,"complexity_ratio":133.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":5057,"base":3},"right_expr":{"type":"numeric_atoms","value":5074,"base":3}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":7710,"base":3},"right_expr":{"type":"numeric_atoms","value":1144,"base":3}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1059,"base":3}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1162,"base":3},"right_expr":{"type":"numeric_atoms","value":2302,"base":3}}}}},"used_operators":["rysDP5nf3Z","k2HlF1dBQh","EBcxylXtPf","4JB6nKBMSY","KbjG8mgYpV","3EYGwJThht","h92wMvzauj","D309nIvmXG","Z5CJsN7DuW","xRrnTEsQ6j"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⫏≰-2101111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5057","layer":4},{"info":"number node, value=5074","layer":4},{"info":"compute binary expreesion, left_input=5057, right_input=5074, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=40104","layer":3},{"info":"compute unary expreesion, input=40104, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=81609","layer":2},{"info":"compute unary expreesion, input=81609, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=7710","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=7710, right_input=1144, 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=-23130","layer":3},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=651","layer":3},{"info":"compute binary expreesion, left_input=-23130, right_input=651, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-167","layer":2},{"info":"number node, value=1162","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=2302, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1140","layer":3},{"info":"compute unary expreesion, input=-1140, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-167, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=1750","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=1750, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1741","layer":0}],"base":3,"result_base":3,"text":"(∤(⫏≰20221022⇴⫏≰20221221⫌⩹⨱))-⫏≰101120120⨑⩅≇⫏≰1120101⇄(∓⪦⫏≰1110020)∠↢(↨⩢⫨⫏≰1121001⫁⪎⫏≰10011021)=⫏≰-2101111","reverse_text":"⫏≰-2101111=(∤(⫏≰20221022⇴⫏≰20221221⫌⩹⨱))-⫏≰101120120⨑⩅≇⫏≰1120101⇄(∓⪦⫏≰1110020)∠↢(↨⩢⫨⫏≰1121001⫁⪎⫏≰10011021)","cot":[{"info":"⫏≰20221022⇴⫏≰20221221=⫏≰2001000100","layer":3},{"info":"⫏≰2001000100⫌⩹⨱=⫏≰11010221120","layer":2},{"info":"∤⫏≰11010221120=⫏≰100","layer":1},{"info":"⫏≰101120120⨑⩅≇⫏≰1120101=⫏≰-1011201200","layer":3},{"info":"∓⪦⫏≰1110020=⫏≰220010","layer":3},{"info":"⫏≰-1011201200⇄⫏≰220010=⫏≰-20012","layer":2},{"info":"⫏≰1121001⫁⪎⫏≰10011021=⫏≰-1120020","layer":3},{"info":"↨⩢⫨⫏≰-1120020=⫏≰0","layer":2},{"info":"⫏≰-20012∠↢⫏≰0=⫏≰2101211","layer":1},{"info":"⫏≰100-⫏≰2101211=⫏≰-2101111","layer":0}]}
{"id":304,"expression_no_base_symbol":"((($2155$⪉⨛$1350$)⇽⩪)∕⩚($3423$⋳⪒$3253$)↓($5437$⩹$2497$))≀⫉(⩏⊷≩((⫵↿$5672$)⪄$3532$⩷∴$5834$))","expression":"(((⫏≰2221211⪉⨛⫏≰1212000)⇽⩪)∕⩚(⫏≰11200210⋳⪒⫏≰11110111)↓(⫏≰21110101⩹⫏≰10102111))≀⫉(⩏⊷≩((⫵↿⫏≰21210002)⪄⫏≰11211211⩷∴⫏≰22000002))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35614,"operation_count":11,"complexity_ratio":3237.6363636363635,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2155,"base":3},"right_expr":{"type":"numeric_atoms","value":1350,"base":3}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3423,"base":3},"right_expr":{"type":"numeric_atoms","value":3253,"base":3}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5437,"base":3},"right_expr":{"type":"numeric_atoms","value":2497,"base":3}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":5672,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3532,"base":3},"right_expr":{"type":"numeric_atoms","value":5834,"base":3}}}}},"used_operators":["oZj3VtZNQx","z9ffQ9n5Zr","FonBHBYJbU","EWw2JM7wp4","Af076pWI7l","12rbrZMWeM","2Wsdkap16l","uOZ1tnYMDE","SUmda5xLS4","ivGwdmUAux","9FxExcQeMw"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","23Mk6UjR3U","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z"],"result":"⫏≰10212112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2155","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=2155, right_input=1350, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5330","layer":3},{"info":"compute unary expreesion, input=5330, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=11182","layer":2},{"info":"number node, value=3423","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=3423, right_input=3253, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3306","layer":3},{"info":"number node, value=5437","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=5437, right_input=2497, 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=2495","layer":3},{"info":"compute binary expreesion, left_input=3306, right_input=2495, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=11182, right_input=-134, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=5672","layer":4},{"info":"compute unary expreesion, input=5672, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=3532","layer":4},{"info":"number node, value=5834","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=5834, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4636","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-4636, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=2179","layer":2},{"info":"compute unary expreesion, input=2179, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4057","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=4057, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2221211⪉⨛⫏≰1212000)⇽⩪)∕⩚(⫏≰11200210⋳⪒⫏≰11110111)↓(⫏≰21110101⩹⫏≰10102111))≀⫉(⩏⊷≩((⫵↿⫏≰21210002)⪄⫏≰11211211⩷∴⫏≰22000002))=⫏≰10212112","reverse_text":"⫏≰10212112=(((⫏≰2221211⪉⨛⫏≰1212000)⇽⩪)∕⩚(⫏≰11200210⋳⪒⫏≰11110111)↓(⫏≰21110101⩹⫏≰10102111))≀⫉(⩏⊷≩((⫵↿⫏≰21210002)⪄⫏≰11211211⩷∴⫏≰22000002))","cot":[{"info":"⫏≰2221211⪉⨛⫏≰1212000=⫏≰21022102","layer":3},{"info":"⫏≰21022102⇽⩪=⫏≰120100011","layer":2},{"info":"⫏≰11200210⋳⪒⫏≰11110111=⫏≰11112110","layer":3},{"info":"⫏≰21110101⩹⫏≰10102111=⫏≰10102102","layer":3},{"info":"⫏≰11112110↓⫏≰10102102=⫏≰-11222","layer":2},{"info":"⫏≰120100011∕⩚⫏≰-11222=⫏≰-200001","layer":1},{"info":"⫵↿⫏≰21210002=⫏≰12002","layer":3},{"info":"⫏≰11211211⩷∴⫏≰22000002=⫏≰-20100201","layer":3},{"info":"⫏≰12002⪄⫏≰-20100201=⫏≰2222201","layer":2},{"info":"⩏⊷≩⫏≰2222201=⫏≰12120021","layer":1},{"info":"⫏≰-200001≀⫉⫏≰12120021=⫏≰10212112","layer":0}]}
{"id":305,"expression_no_base_symbol":"(⪭⩑⪱(($1127$⫌⩹⨱)≄⊠$1288$⨂≜$3176$))⫗⊷⫓((($5171$⊢$3320$)⨘)⪥(($8052$⫌⩉⩟$1665$)≎⊠⪸$2885$⩍⋽⫝̸$3356$))","expression":"(⪭⩑⪱((⫏≰1112202⫌⩹⨱)≄⊠⫏≰1202201⨂≜⫏≰11100122))⫗⊷⫓(((⫏≰21002112⊢⫏≰11112222)⨘)⪥((⫏≰102001020⫌⩉⩟⫏≰2021200)≎⊠⪸⫏≰10221212⩍⋽⫝̸⫏≰11121022))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":410099,"operation_count":11,"complexity_ratio":37281.72727272727,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1127,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1288,"base":3},"right_expr":{"type":"numeric_atoms","value":3176,"base":3}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":5171,"base":3},"right_expr":{"type":"numeric_atoms","value":3320,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":8052,"base":3},"right_expr":{"type":"numeric_atoms","value":1665,"base":3}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2885,"base":3},"right_expr":{"type":"numeric_atoms","value":3356,"base":3}}}}},"used_operators":["zashukvMKz","SIgE0bArFf","vXNesLlMH1","EBcxylXtPf","k1SHOSEABc","QbnwKVWMIQ","ljcfZBUpm8","5twsqlHp2o","bJkvcejdHO","XIIwhv8d0m","BiWNJpBvwn"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3655","layer":3},{"info":"number node, value=1288","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=3176, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3655, 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":2},{"info":"compute unary expreesion, input=1500, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=5171","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=5171, right_input=3320, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10586","layer":3},{"info":"compute unary expreesion, input=-10586, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=73327","layer":2},{"info":"number node, value=8052","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=8052, right_input=1665, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2885","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=3356, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2410","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=2410, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=12950","layer":2},{"info":"compute binary expreesion, left_input=73327, right_input=12950, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=297960","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=297960, 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":3,"result_base":3,"text":"(⪭⩑⪱((⫏≰1112202⫌⩹⨱)≄⊠⫏≰1202201⨂≜⫏≰11100122))⫗⊷⫓(((⫏≰21002112⊢⫏≰11112222)⨘)⪥((⫏≰102001020⫌⩉⩟⫏≰2021200)≎⊠⪸⫏≰10221212⩍⋽⫝̸⫏≰11121022))=⫏≰-11222","reverse_text":"⫏≰-11222=(⪭⩑⪱((⫏≰1112202⫌⩹⨱)≄⊠⫏≰1202201⨂≜⫏≰11100122))⫗⊷⫓(((⫏≰21002112⊢⫏≰11112222)⨘)⪥((⫏≰102001020⫌⩉⩟⫏≰2021200)≎⊠⪸⫏≰10221212⩍⋽⫝̸⫏≰11121022))","cot":[{"info":"⫏≰1112202⫌⩹⨱=⫏≰12000101","layer":3},{"info":"⫏≰1202201⨂≜⫏≰11100122=NaN","layer":3},{"info":"⫏≰12000101≄⊠NaN=⫏≰2001120","layer":2},{"info":"⪭⩑⪱⫏≰2001120=⫏≰120122201221000","layer":1},{"info":"⫏≰21002112⊢⫏≰11112222=⫏≰-112112002","layer":3},{"info":"⫏≰-112112002⨘=⫏≰10201120211","layer":2},{"info":"⫏≰102001020⫌⩉⩟⫏≰2021200=⫏≰-1212","layer":3},{"info":"⫏≰10221212⩍⋽⫝̸⫏≰11121022=⫏≰10022021","layer":3},{"info":"⫏≰-1212≎⊠⪸⫏≰10022021=⫏≰122202122","layer":2},{"info":"⫏≰10201120211⪥⫏≰122202122=⫏≰120010201120","layer":1},{"info":"⫏≰120122201221000⫗⊷⫓⫏≰120010201120=⫏≰-11222","layer":0}]}
{"id":306,"expression_no_base_symbol":"(⨝⨆($1343$≳⇉$4114$⫌⩉⩟$7171$⪭≯$5181$))⫰⋱(↑(↽≂$1124$⊴$1031$))","expression":"(⨝⨆(⫏≰1211202≳⇉⫏≰12122101⫌⩉⩟⫏≰100211121⪭≯⫏≰21002220))⫰⋱(↑(↽≂⫏≰1112122⊴⫏≰1102012))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":234634894,"operation_count":8,"complexity_ratio":29329361.75,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1343,"base":3},"right_expr":{"type":"numeric_atoms","value":4114,"base":3}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":7171,"base":3},"right_expr":{"type":"numeric_atoms","value":5181,"base":3}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1124,"base":3},"right_expr":{"type":"numeric_atoms","value":1031,"base":3}}}}},"used_operators":["6o9Blt3TJ6","bQ67fsrMVf","XIIwhv8d0m","V0kx6qeWkN","XAx5wpdLa6","tR7O2zTn5j","u6S6b8DprG","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","tifHPKVTfV","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=4114, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=7171","layer":4},{"info":"number node, value=5181","layer":4},{"info":"compute binary expreesion, left_input=7171, right_input=5181, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-259","layer":1},{"info":"number node, value=1124","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=1031, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-259, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨝⨆(⫏≰1211202≳⇉⫏≰12122101⫌⩉⩟⫏≰100211121⪭≯⫏≰21002220))⫰⋱(↑(↽≂⫏≰1112122⊴⫏≰1102012))=NaN","reverse_text":"NaN=(⨝⨆(⫏≰1211202≳⇉⫏≰12122101⫌⩉⩟⫏≰100211121⪭≯⫏≰21002220))⫰⋱(↑(↽≂⫏≰1112122⊴⫏≰1102012))","cot":[{"info":"⫏≰1211202≳⇉⫏≰12122101=NaN","layer":3},{"info":"⫏≰100211121⪭≯⫏≰21002220=NaN","layer":3},{"info":"NaN⫌⩉⩟NaN=⫏≰-1212","layer":2},{"info":"⨝⨆⫏≰-1212=⫏≰-100121","layer":1},{"info":"⫏≰1112122⊴⫏≰1102012=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"↑NaN=NaN","layer":1},{"info":"⫏≰-100121⫰⋱NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"((⇈$3005$)⨟⋌⩍($4685$⪛$1062$))⨜⨶((⪨⨬$5372$)⪨⊡(⩩$2156$))⇌⫙⪟(↩⪖(($2800$⊝⪿⪼$2488$)≨($1046$⋛$4959$)))","expression":"((⇈⫏≰11010022)⨟⋌⩍(⫏≰20102112⪛⫏≰1110100))⨜⨶((⪨⨬⫏≰21100222)⪨⊡(⩩⫏≰2221212))⇌⫙⪟(↩⪖((⫏≰10211201⊝⪿⪼⫏≰10102011)≨(⫏≰1102202⋛⫏≰20210200)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6755,"operation_count":12,"complexity_ratio":562.9166666666666,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":3005,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4685,"base":3},"right_expr":{"type":"numeric_atoms","value":1062,"base":3}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":5372,"base":3}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2156,"base":3}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2800,"base":3},"right_expr":{"type":"numeric_atoms","value":2488,"base":3}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1046,"base":3},"right_expr":{"type":"numeric_atoms","value":4959,"base":3}}}}},"used_operators":["AFVx7xoS7T","HiPekx5b7W","rGHVDoGpnC","SLLxy00UIr","uFcxV4UQCh","kuIXHzHcAH","5obUd6DV38","kMhfGuqI2H","fG6uBQFnGz","0KMCeP1Jsh","3Oe9XWJUTD","YbUVn0Rbpy"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Tcnh7f0tEr","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","T2fj7uvVaJ","nlCqmYiOvY","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=4685","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=4685, right_input=1062, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=437","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=437, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"number node, value=5372","layer":4},{"info":"compute unary expreesion, input=5372, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=2156","layer":4},{"info":"compute unary expreesion, input=2156, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, 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=nan","layer":1},{"info":"number node, value=2800","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=2488, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=41268","layer":3},{"info":"number node, value=1046","layer":4},{"info":"number node, value=4959","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=4959, 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=-122778","layer":3},{"info":"compute binary expreesion, left_input=41268, right_input=-122778, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-410204","layer":2},{"info":"compute unary expreesion, input=-410204, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=5740662","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5740662, 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":3,"result_base":3,"text":"((⇈⫏≰11010022)⨟⋌⩍(⫏≰20102112⪛⫏≰1110100))⨜⨶((⪨⨬⫏≰21100222)⪨⊡(⩩⫏≰2221212))⇌⫙⪟(↩⪖((⫏≰10211201⊝⪿⪼⫏≰10102011)≨(⫏≰1102202⋛⫏≰20210200)))=NaN","reverse_text":"NaN=((⇈⫏≰11010022)⨟⋌⩍(⫏≰20102112⪛⫏≰1110100))⨜⨶((⪨⨬⫏≰21100222)⪨⊡(⩩⫏≰2221212))⇌⫙⪟(↩⪖((⫏≰10211201⊝⪿⪼⫏≰10102011)≨(⫏≰1102202⋛⫏≰20210200)))","cot":[{"info":"⇈⫏≰11010022=⫏≰-121120","layer":3},{"info":"⫏≰20102112⪛⫏≰1110100=⫏≰121012","layer":3},{"info":"⫏≰-121120⨟⋌⩍⫏≰121012=⫏≰0","layer":2},{"info":"⪨⨬⫏≰21100222=⫏≰-201111","layer":3},{"info":"⩩⫏≰2221212=NaN","layer":3},{"info":"⫏≰-201111⪨⊡NaN=NaN","layer":2},{"info":"⫏≰0⨜⨶NaN=NaN","layer":1},{"info":"⫏≰10211201⊝⪿⪼⫏≰10102011=⫏≰2002121110","layer":3},{"info":"⫏≰1102202⋛⫏≰20210200=⫏≰-20020102100","layer":3},{"info":"⫏≰2002121110≨⫏≰-20020102100=⫏≰-202211200202","layer":2},{"info":"↩⪖⫏≰-202211200202=⫏≰101210122201010","layer":1},{"info":"NaN⇌⫙⪟⫏≰101210122201010=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"((≸$4540$)⫸⊐$3308$≄⊠$5029$)⋕⪉⪜($3861$⊱⇼⊻$1413$)≌($1352$≭$2906$)⪒⊣⊆(⊊≼∋($1970$⨟⋌⩍$2406$⇣⩺⋵(⩎⋉$6572$)))","expression":"((≸⫏≰20020011)⫸⊐⫏≰11112112≄⊠⫏≰20220021)⋕⪉⪜(⫏≰12022000⊱⇼⊻⫏≰1221100)≌(⫏≰1212002≭⫏≰10222122)⪒⊣⊆(⊊≼∋(⫏≰2200222⨟⋌⩍⫏≰10022010⇣⩺⋵(⩎⋉⫏≰100000102)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":384,"operation_count":12,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":4540,"base":3}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3308,"base":3},"right_expr":{"type":"numeric_atoms","value":5029,"base":3}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3861,"base":3},"right_expr":{"type":"numeric_atoms","value":1413,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1352,"base":3},"right_expr":{"type":"numeric_atoms","value":2906,"base":3}}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1970,"base":3},"right_expr":{"type":"numeric_atoms","value":2406,"base":3}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6572,"base":3}}}}},"used_operators":["eRqsBgTDFp","z6LnFrNh4i","mqXw5SEYmG","eOf03JbCpp","vXNesLlMH1","lyWz822IDG","FyVja0WsTP","rxpJgHHUmx","FWz7pXsQhA","F4yD0voBRQ","rGHVDoGpnC","FlXk3pOYe8"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","AHs5Up7iyr","B5M0gjZbta","jCPkEVoL5K","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Tcnh7f0tEr","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⫏≰120010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4540","layer":4},{"info":"compute unary expreesion, input=4540, 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":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=5029","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=5029, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=85132","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=85132, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=116","layer":2},{"info":"number node, value=3861","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=1413, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1352","layer":4},{"info":"number node, value=2906","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=2906, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=116, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=1970","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=2406, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6572","layer":4},{"info":"compute unary expreesion, input=6572, 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":3},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=408","layer":0}],"base":3,"result_base":3,"text":"((≸⫏≰20020011)⫸⊐⫏≰11112112≄⊠⫏≰20220021)⋕⪉⪜(⫏≰12022000⊱⇼⊻⫏≰1221100)≌(⫏≰1212002≭⫏≰10222122)⪒⊣⊆(⊊≼∋(⫏≰2200222⨟⋌⩍⫏≰10022010⇣⩺⋵(⩎⋉⫏≰100000102)))=⫏≰120010","reverse_text":"⫏≰120010=((≸⫏≰20020011)⫸⊐⫏≰11112112≄⊠⫏≰20220021)⋕⪉⪜(⫏≰12022000⊱⇼⊻⫏≰1221100)≌(⫏≰1212002≭⫏≰10222122)⪒⊣⊆(⊊≼∋(⫏≰2200222⨟⋌⩍⫏≰10022010⇣⩺⋵(⩎⋉⫏≰100000102)))","cot":[{"info":"≸⫏≰20020011=⫏≰2011","layer":3},{"info":"⫏≰11112112≄⊠⫏≰20220021=⫏≰11022210001","layer":3},{"info":"⫏≰2011⫸⊐⫏≰11022210001=⫏≰11022","layer":2},{"info":"⫏≰12022000⊱⇼⊻⫏≰1221100=⫏≰121002","layer":3},{"info":"⫏≰1212002≭⫏≰10222122=NaN","layer":3},{"info":"⫏≰121002≌NaN=NaN","layer":2},{"info":"⫏≰11022⋕⪉⪜NaN=⫏≰21120","layer":1},{"info":"⫏≰2200222⨟⋌⩍⫏≰10022010=NaN","layer":3},{"info":"⩎⋉⫏≰100000102=⫏≰2021010","layer":3},{"info":"NaN⇣⩺⋵⫏≰2021010=⫏≰-100122","layer":2},{"info":"⊊≼∋⫏≰-100122=NaN","layer":1},{"info":"⫏≰21120⪒⊣⊆NaN=⫏≰120010","layer":0}]}
{"id":309,"expression_no_base_symbol":"⊿(⊖$3237$≄⊠$4842$)∇⊂⋱(⨞⊢$2245$⇴∐$8856$)","expression":"⊿(⊖⫏≰11102220≄⊠⫏≰20122100)∇⊂⋱(⨞⊢⫏≰10002011⇴∐⫏≰110011000)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":121,"operation_count":6,"complexity_ratio":20.166666666666668,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3237,"base":3},"right_expr":{"type":"numeric_atoms","value":4842,"base":3}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2245,"base":3},"right_expr":{"type":"numeric_atoms","value":8856,"base":3}}}}},"used_operators":["DO4fhlbJSI","nhYeJWJD5X","U6pG0PXrV3","vXNesLlMH1","xUOZtlo3hN","HnzytWxmAO"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3237","layer":4},{"info":"number node, value=4842","layer":4},{"info":"compute binary expreesion, left_input=3237, right_input=4842, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=82140","layer":3},{"info":"compute unary expreesion, input=82140, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"number node, value=2245","layer":4},{"info":"number node, value=8856","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=8856, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊿(⊖⫏≰11102220≄⊠⫏≰20122100)∇⊂⋱(⨞⊢⫏≰10002011⇴∐⫏≰110011000)=NaN","reverse_text":"NaN=⊿(⊖⫏≰11102220≄⊠⫏≰20122100)∇⊂⋱(⨞⊢⫏≰10002011⇴∐⫏≰110011000)","cot":[{"info":"⫏≰11102220≄⊠⫏≰20122100=⫏≰11011200020","layer":3},{"info":"⊖⫏≰11011200020=⫏≰0","layer":2},{"info":"⫏≰10002011⇴∐⫏≰110011000=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⫏≰0∇⊂⋱NaN=NaN","layer":1},{"info":"⊿NaN=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"(⇤←($2084$⇤$1805$)⋕⪉⪜(⨑⩽⪐$2971$))↳≱(((⊀$7421$)⫚⫇)⪎⩰)","expression":"(⇤←(⫏≰2212012⇤⫏≰2110212)⋕⪉⪜(⨑⩽⪐⫏≰11002001))↳≱(((⊀⫏≰101011212)⫚⫇)⪎⩰)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":192,"operation_count":8,"complexity_ratio":24.0,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2084,"base":3},"right_expr":{"type":"numeric_atoms","value":1805,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2971,"base":3}}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":7421,"base":3}}}}},"used_operators":["JwTKLfZU96","jfAgQ2OQeM","z6LnFrNh4i","YSKBFp38Pu","AF7qkfDlqP","2ufhKmSs5H","SdCjLnB6rR","oPMjh9089D"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2084","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=1805, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-16597","layer":3},{"info":"number node, value=2971","layer":4},{"info":"compute unary expreesion, input=2971, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2698","layer":3},{"info":"compute binary expreesion, left_input=-16597, right_input=-2698, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=346","layer":1},{"info":"number node, value=7421","layer":4},{"info":"compute unary expreesion, input=7421, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=29422","layer":3},{"info":"compute unary expreesion, input=29422, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=57376","layer":2},{"info":"compute unary expreesion, input=57376, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":1},{"info":"compute binary expreesion, left_input=346, right_input=-34, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⇤←(⫏≰2212012⇤⫏≰2110212)⋕⪉⪜(⨑⩽⪐⫏≰11002001))↳≱(((⊀⫏≰101011212)⫚⫇)⪎⩰)=⫏≰0","reverse_text":"⫏≰0=(⇤←(⫏≰2212012⇤⫏≰2110212)⋕⪉⪜(⨑⩽⪐⫏≰11002001))↳≱(((⊀⫏≰101011212)⫚⫇)⪎⩰)","cot":[{"info":"⫏≰2212012⇤⫏≰2110212=⫏≰-211202201","layer":3},{"info":"⨑⩽⪐⫏≰11002001=⫏≰-10200221","layer":3},{"info":"⫏≰-211202201⋕⪉⪜⫏≰-10200221=⫏≰21120","layer":2},{"info":"⇤←⫏≰21120=⫏≰110211","layer":1},{"info":"⊀⫏≰101011212=⫏≰1111100201","layer":3},{"info":"⫏≰1111100201⫚⫇=⫏≰2220201001","layer":2},{"info":"⫏≰2220201001⪎⩰=⫏≰-1021","layer":1},{"info":"⫏≰110211↳≱⫏≰-1021=⫏≰0","layer":0}]}
{"id":311,"expression_no_base_symbol":"(⨑⩽⪐($9581$≭$5199$∛≔))⫌⩉⩟($8148$≒∊$1423$↡⊰⫅($2020$∖$5272$))⩇∃⫛(⋎⨆$2788$)⨚(⊲⪭$2473$)","expression":"(⨑⩽⪐(⫏≰111010212≭⫏≰21010120∛≔))⫌⩉⩟(⫏≰102011210≒∊⫏≰1221201↡⊰⫅(⫏≰2202211∖⫏≰21020021))⩇∃⫛(⋎⨆⫏≰10211021)⨚(⊲⪭⫏≰10101121)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":60864,"operation_count":11,"complexity_ratio":5533.090909090909,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":9581,"base":3},"right_expr":{"type":"numeric_atoms","value":5199,"base":3}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":8148,"base":3},"right_expr":{"type":"numeric_atoms","value":1423,"base":3}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2020,"base":3},"right_expr":{"type":"numeric_atoms","value":5272,"base":3}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2788,"base":3}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2473,"base":3}}}}},"used_operators":["XIIwhv8d0m","AF7qkfDlqP","mGnSCrte3L","rxpJgHHUmx","1aApVXNlOP","VCtxkLNOzz","5KTvxBwnZo","tXD093vOjl","nREPSIbpBE","E64sFOc4tB","k7HXdKtiEU"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","BjRHVeLaeN","12rbrZMWeM","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","i8ToyICDmI","xUOZtlo3hN"],"result":"⫏≰-1212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9581","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=9581, right_input=5199, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"number node, value=8148","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=8148, right_input=1423, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-7664","layer":3},{"info":"number node, value=2020","layer":4},{"info":"number node, value=5272","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=5272, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7664, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":2},{"info":"number node, value=2788","layer":4},{"info":"compute unary expreesion, input=2788, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2473","layer":4},{"info":"compute unary expreesion, input=2473, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2647","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2647, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=11522","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=11522, 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=11995","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11995, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐(⫏≰111010212≭⫏≰21010120∛≔))⫌⩉⩟(⫏≰102011210≒∊⫏≰1221201↡⊰⫅(⫏≰2202211∖⫏≰21020021))⩇∃⫛(⋎⨆⫏≰10211021)⨚(⊲⪭⫏≰10101121)=⫏≰-1212","reverse_text":"⫏≰-1212=(⨑⩽⪐(⫏≰111010212≭⫏≰21010120∛≔))⫌⩉⩟(⫏≰102011210≒∊⫏≰1221201↡⊰⫅(⫏≰2202211∖⫏≰21020021))⩇∃⫛(⋎⨆⫏≰10211021)⨚(⊲⪭⫏≰10101121)","cot":[{"info":"⫏≰111010212≭⫏≰21010120=NaN","layer":3},{"info":"NaN∛≔=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫏≰102011210≒∊⫏≰1221201=⫏≰-101111212","layer":3},{"info":"⫏≰2202211∖⫏≰21020021=⫏≰0","layer":3},{"info":"⫏≰-101111212↡⊰⫅⫏≰0=⫏≰0","layer":2},{"info":"⋎⨆⫏≰10211021=⫏≰0","layer":3},{"info":"⊲⪭⫏≰10101121=⫏≰-10122001","layer":3},{"info":"⫏≰0⨚⫏≰-10122001=⫏≰120210202","layer":2},{"info":"⫏≰0⩇∃⫛⫏≰120210202=⫏≰121110021","layer":1},{"info":"NaN⫌⩉⩟⫏≰121110021=⫏≰-1212","layer":0}]}
{"id":312,"expression_no_base_symbol":"(⇁⨣⪵$1370$≝⊿$4514$)⊢(($1014$⨵⪆$3088$)⪎⩰)⨽(($7877$*$2706$)⪶≀⋏$4628$∀⇚≩$2064$∁)","expression":"(⇁⨣⪵⫏≰1212202≝⊿⫏≰20012012)⊢((⫏≰1101120⨵⪆⫏≰11020101)⪎⩰)⨽((⫏≰101210202*⫏≰10201020)⪶≀⋏⫏≰20100102∀⇚≩⫏≰2211110∁)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35189,"operation_count":10,"complexity_ratio":3518.9,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1370,"base":3},"right_expr":{"type":"numeric_atoms","value":4514,"base":3}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1014,"base":3},"right_expr":{"type":"numeric_atoms","value":3088,"base":3}}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7877,"base":3},"right_expr":{"type":"numeric_atoms","value":2706,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4628,"base":3},"right_expr":{"type":"numeric_atoms","value":2064,"base":3}}}}},"used_operators":["8HhzD0ZcuI","5twsqlHp2o","inkyxCbjAn","OKKcZfAt5B","2ufhKmSs5H","2DQ55sFlQl","jdwGQqwJi5","zR4jO40bMj","9HNa5Wba9A","LRNGc0VcxI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","B5M0gjZbta","12rbrZMWeM","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1370","layer":4},{"info":"number node, value=4514","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=4514, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10931","layer":3},{"info":"compute unary expreesion, input=-10931, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1014","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=3088, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-9281","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9281, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"number node, value=7877","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=7877, right_input=2706, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=21315162","layer":3},{"info":"number node, value=4628","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=2064, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=21315162, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵⫏≰1212202≝⊿⫏≰20012012)⊢((⫏≰1101120⨵⪆⫏≰11020101)⪎⩰)⨽((⫏≰101210202*⫏≰10201020)⪶≀⋏⫏≰20100102∀⇚≩⫏≰2211110∁)=NaN","reverse_text":"NaN=(⇁⨣⪵⫏≰1212202≝⊿⫏≰20012012)⊢((⫏≰1101120⨵⪆⫏≰11020101)⪎⩰)⨽((⫏≰101210202*⫏≰10201020)⪶≀⋏⫏≰20100102∀⇚≩⫏≰2211110∁)","cot":[{"info":"⫏≰1212202≝⊿⫏≰20012012=⫏≰-112222212","layer":3},{"info":"⇁⨣⪵⫏≰-112222212=NaN","layer":2},{"info":"⫏≰1101120⨵⪆⫏≰11020101=⫏≰12221","layer":3},{"info":"⫏≰12221⪎⩰=⫏≰-110201202","layer":2},{"info":"NaN⊢⫏≰-110201202=NaN","layer":1},{"info":"⫏≰101210202*⫏≰10201020=⫏≰1111002220220110","layer":3},{"info":"⫏≰20100102∀⇚≩⫏≰2211110=NaN","layer":3},{"info":"⫏≰1111002220220110⪶≀⋏NaN=NaN","layer":2},{"info":"NaN∁=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"(⨈⫕($1268$∊∟⩊$3886$⫦⪉(↞≼$2823$)))⪪(⊆⋠(($1748$≥⨤⩑$1244$)≃(⋃$1145$)))","expression":"(⨈⫕(⫏≰1201222∊∟⩊⫏≰12022221⫦⪉(↞≼⫏≰10212120)))⪪(⊆⋠((⫏≰2101202≥⨤⩑⫏≰1201002)≃(⋃⫏≰1120102)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":707,"operation_count":9,"complexity_ratio":78.55555555555556,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1268,"base":3},"right_expr":{"type":"numeric_atoms","value":3886,"base":3}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2823,"base":3}}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1748,"base":3},"right_expr":{"type":"numeric_atoms","value":1244,"base":3}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1145,"base":3}}}}},"used_operators":["xD69zh8xqp","megm06wKyl","wscyQdcy20","ddLRYrp01A","DE7zCoGJt9","EBhcHTkKd8","YbVcJGFEVW","gJLn6v0xnP","3mBM5G4a3l"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","g55IO6H4Gj"],"result":"⫏≰210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=3886, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3886","layer":3},{"info":"number node, value=2823","layer":4},{"info":"compute unary expreesion, input=2823, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=22170","layer":3},{"info":"compute binary expreesion, left_input=3886, right_input=22170, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2872","layer":2},{"info":"compute unary expreesion, input=-2872, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=1748","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1244, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2392","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2392, 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=-4976","layer":2},{"info":"compute unary expreesion, input=-4976, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=3979, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=21","layer":0}],"base":3,"result_base":3,"text":"(⨈⫕(⫏≰1201222∊∟⩊⫏≰12022221⫦⪉(↞≼⫏≰10212120)))⪪(⊆⋠((⫏≰2101202≥⨤⩑⫏≰1201002)≃(⋃⫏≰1120102)))=⫏≰210","reverse_text":"⫏≰210=(⨈⫕(⫏≰1201222∊∟⩊⫏≰12022221⫦⪉(↞≼⫏≰10212120)))⪪(⊆⋠((⫏≰2101202≥⨤⩑⫏≰1201002)≃(⋃⫏≰1120102)))","cot":[{"info":"⫏≰1201222∊∟⩊⫏≰12022221=⫏≰12022221","layer":3},{"info":"↞≼⫏≰10212120=⫏≰1010102010","layer":3},{"info":"⫏≰12022221⫦⪉⫏≰1010102010=⫏≰-10221101","layer":2},{"info":"⨈⫕⫏≰-10221101=⫏≰-210","layer":1},{"info":"⫏≰2101202≥⨤⩑⫏≰1201002=⫏≰1200201","layer":3},{"info":"⋃⫏≰1120102=⫏≰10021121","layer":3},{"info":"⫏≰1200201≃⫏≰10021121=⫏≰-20211022","layer":2},{"info":"⊆⋠⫏≰-20211022=⫏≰12110101","layer":1},{"info":"⫏≰-210⪪⫏≰12110101=⫏≰210","layer":0}]}
{"id":314,"expression_no_base_symbol":"(($7794$⪛⫼$2198$)⨔⇊$4644$⇻⋧≁$1993$⇄($1249$⋳⪒$1109$)↢(⨰⫟⨤$1281$))⊉↱≁(($3712$⪭≯$1103$)↢($4292$⨳⩥⨓$1352$)⋷((↡$2335$)⨴∎))","expression":"((⫏≰101200200⪛⫼⫏≰10000102)⨔⇊⫏≰20101000⇻⋧≁⫏≰2201211⇄(⫏≰1201021⋳⪒⫏≰1112002)↢(⨰⫟⨤⫏≰1202110))⊉↱≁((⫏≰12002111⪭≯⫏≰1111212)↢(⫏≰12212222⨳⩥⨓⫏≰1212002)⋷((↡⫏≰10012111)⨴∎))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30530,"operation_count":14,"complexity_ratio":2180.714285714286,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":7794,"base":3},"right_expr":{"type":"numeric_atoms","value":2198,"base":3}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4644,"base":3},"right_expr":{"type":"numeric_atoms","value":1993,"base":3}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1249,"base":3},"right_expr":{"type":"numeric_atoms","value":1109,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1281,"base":3}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3712,"base":3},"right_expr":{"type":"numeric_atoms","value":1103,"base":3}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4292,"base":3},"right_expr":{"type":"numeric_atoms","value":1352,"base":3}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2335,"base":3}}}}},"used_operators":["w2P8NbNXyL","3EYGwJThht","JclMnS0uGI","hyuBjUqXlG","jCPkEVoL5K","WR6HLWljOP","12rbrZMWeM","Tw270M8GLb","23Mk6UjR3U","XAx5wpdLa6","nCS4ZIUYfx","CpSg5vQTgA","MXaNJeIAZ3"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","rysDP5nf3Z","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7794","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=7794, right_input=2198, 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":3},{"info":"number node, value=4644","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=4644, right_input=1993, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-447, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"number node, value=1249","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=1109, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1102","layer":3},{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1102, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=618","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=618, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-134","layer":1},{"info":"number node, value=3712","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=1103, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=4292","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=4292, right_input=1352, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2940","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2940, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"number node, value=2335","layer":4},{"info":"compute unary expreesion, input=2335, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=21015","layer":3},{"info":"compute unary expreesion, input=21015, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰101200200⪛⫼⫏≰10000102)⨔⇊⫏≰20101000⇻⋧≁⫏≰2201211⇄(⫏≰1201021⋳⪒⫏≰1112002)↢(⨰⫟⨤⫏≰1202110))⊉↱≁((⫏≰12002111⪭≯⫏≰1111212)↢(⫏≰12212222⨳⩥⨓⫏≰1212002)⋷((↡⫏≰10012111)⨴∎))=NaN","reverse_text":"NaN=((⫏≰101200200⪛⫼⫏≰10000102)⨔⇊⫏≰20101000⇻⋧≁⫏≰2201211⇄(⫏≰1201021⋳⪒⫏≰1112002)↢(⨰⫟⨤⫏≰1202110))⊉↱≁((⫏≰12002111⪭≯⫏≰1111212)↢(⫏≰12212222⨳⩥⨓⫏≰1212002)⋷((↡⫏≰10012111)⨴∎))","cot":[{"info":"⫏≰101200200⪛⫼⫏≰10000102=⫏≰1022212","layer":3},{"info":"⫏≰20101000⇻⋧≁⫏≰2201211=⫏≰-121120","layer":3},{"info":"⫏≰1022212⨔⇊⫏≰-121120=⫏≰2111","layer":2},{"info":"⫏≰1201021⋳⪒⫏≰1112002=⫏≰1111211","layer":3},{"info":"⨰⫟⨤⫏≰1202110=NaN","layer":3},{"info":"⫏≰1111211↢NaN=⫏≰211220","layer":2},{"info":"⫏≰2111⇄⫏≰211220=⫏≰-11222","layer":1},{"info":"⫏≰12002111⪭≯⫏≰1111212=NaN","layer":3},{"info":"⫏≰12212222⨳⩥⨓⫏≰1212002=⫏≰-11000220","layer":3},{"info":"NaN↢⫏≰-11000220=NaN","layer":2},{"info":"↡⫏≰10012111=⫏≰1001211100","layer":3},{"info":"⫏≰1001211100⨴∎=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⫏≰-11222⊉↱≁NaN=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"(∥⊫$1001$∊∟⩊$3003$⩷∴($3955$⪄$2280$))∌↝((($1381$⩤)⋻⩜⩜(⨭⩧⫛$3171$))⇽⩪)","expression":"(∥⊫⫏≰1101002∊∟⩊⫏≰11010020⩷∴(⫏≰12102111⪄⫏≰10010110))∌↝(((⫏≰1220011⩤)⋻⩜⩜(⨭⩧⫛⫏≰11100110))⇽⩪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":216,"operation_count":9,"complexity_ratio":24.0,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1001,"base":3},"right_expr":{"type":"numeric_atoms","value":3003,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3955,"base":3},"right_expr":{"type":"numeric_atoms","value":2280,"base":3}}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1381,"base":3}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3171,"base":3}}}}},"used_operators":["9Isq31Ruls","P8v4zCKN1o","9FxExcQeMw","ddLRYrp01A","SUmda5xLS4","FonBHBYJbU","oDCm7WA9JY","Z2TMIBDE3Q","g21JL6JxX7"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","t8gj7n24qd","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"⫏≰11110201002120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=3003","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3003, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3003","layer":3},{"info":"number node, value=3955","layer":4},{"info":"number node, value=2280","layer":4},{"info":"compute binary expreesion, left_input=3955, right_input=2280, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-590549","layer":3},{"info":"compute binary expreesion, left_input=3003, right_input=-590549, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1187072","layer":2},{"info":"compute unary expreesion, input=1187072, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1187940","layer":1},{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1381","layer":3},{"info":"number node, value=3171","layer":4},{"info":"compute unary expreesion, input=3171, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1381, right_input=nan, 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":2},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1187940, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=2375880","layer":0}],"base":3,"result_base":3,"text":"(∥⊫⫏≰1101002∊∟⩊⫏≰11010020⩷∴(⫏≰12102111⪄⫏≰10010110))∌↝(((⫏≰1220011⩤)⋻⩜⩜(⨭⩧⫛⫏≰11100110))⇽⩪)=⫏≰11110201002120","reverse_text":"⫏≰11110201002120=(∥⊫⫏≰1101002∊∟⩊⫏≰11010020⩷∴(⫏≰12102111⪄⫏≰10010110))∌↝(((⫏≰1220011⩤)⋻⩜⩜(⨭⩧⫛⫏≰11100110))⇽⩪)","cot":[{"info":"⫏≰1101002∊∟⩊⫏≰11010020=⫏≰11010020","layer":3},{"info":"⫏≰12102111⪄⫏≰10010110=⫏≰-1010000002012","layer":3},{"info":"⫏≰11010020⩷∴⫏≰-1010000002012=⫏≰2020022100122","layer":2},{"info":"∥⊫⫏≰2020022100122=⫏≰2020100112210","layer":1},{"info":"⫏≰1220011⩤=⫏≰-1220011","layer":3},{"info":"⨭⩧⫛⫏≰11100110=NaN","layer":3},{"info":"⫏≰-1220011⋻⩜⩜NaN=NaN","layer":2},{"info":"NaN⇽⩪=NaN","layer":1},{"info":"⫏≰2020100112210∌↝NaN=⫏≰11110201002120","layer":0}]}
{"id":316,"expression_no_base_symbol":"(≅≯⇸(≑⋹($5616$⫢⨠$7830$)))⨭⪣(≅≯⇸$7399$)⨜⨶($3716$⩺⪪$1065$)≳⇉(∨∊⋏($5385$↠))","expression":"(≅≯⇸(≑⋹(⫏≰21201000⫢⨠⫏≰101202000)))⨭⪣(≅≯⇸⫏≰101011001)⨜⨶(⫏≰12002122⩺⪪⫏≰1110110)≳⇉(∨∊⋏(⫏≰21101110↠))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46902,"operation_count":10,"complexity_ratio":4690.2,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5616,"base":3},"right_expr":{"type":"numeric_atoms","value":7830,"base":3}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":7399,"base":3}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3716,"base":3},"right_expr":{"type":"numeric_atoms","value":1065,"base":3}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":5385,"base":3}}}}},"used_operators":["kn8WO9XteQ","apS25hmuAe","6B9nyZLogK","xlXykHWxX1","V0kx6qeWkN","HiPekx5b7W","uvdQJvN4PV","R5aXW34M0v","LBdsKIvxzf"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","EBcxylXtPf","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5616","layer":4},{"info":"number node, value=7830","layer":4},{"info":"compute binary expreesion, left_input=5616, right_input=7830, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"compute unary expreesion, input=-766, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=4613","layer":1},{"info":"number node, value=7399","layer":4},{"info":"compute unary expreesion, input=7399, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=37273","layer":3},{"info":"number node, value=3716","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=1065, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-43314","layer":3},{"info":"compute binary expreesion, left_input=37273, right_input=-43314, 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=113629","layer":2},{"info":"number node, value=5385","layer":4},{"info":"compute unary expreesion, input=5385, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-23005","layer":2},{"info":"compute binary expreesion, left_input=113629, right_input=-23005, 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=4613, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":0}],"base":3,"result_base":3,"text":"(≅≯⇸(≑⋹(⫏≰21201000⫢⨠⫏≰101202000)))⨭⪣(≅≯⇸⫏≰101011001)⨜⨶(⫏≰12002122⩺⪪⫏≰1110110)≳⇉(∨∊⋏(⫏≰21101110↠))=⫏≰-210","reverse_text":"⫏≰-210=(≅≯⇸(≑⋹(⫏≰21201000⫢⨠⫏≰101202000)))⨭⪣(≅≯⇸⫏≰101011001)⨜⨶(⫏≰12002122⩺⪪⫏≰1110110)≳⇉(∨∊⋏(⫏≰21101110↠))","cot":[{"info":"⫏≰21201000⫢⨠⫏≰101202000=⫏≰12221","layer":3},{"info":"≑⋹⫏≰12221=⫏≰-1001101","layer":2},{"info":"≅≯⇸⫏≰-1001101=⫏≰20022212","layer":1},{"info":"≅≯⇸⫏≰101011001=⫏≰1220010111","layer":3},{"info":"⫏≰12002122⩺⪪⫏≰1110110=⫏≰-2012102020","layer":3},{"info":"⫏≰1220010111⨜⨶⫏≰-2012102020=⫏≰12202212111","layer":2},{"info":"⫏≰21101110↠=⫏≰-121120","layer":3},{"info":"∨∊⋏⫏≰-121120=⫏≰-1011120001","layer":2},{"info":"⫏≰12202212111≳⇉⫏≰-1011120001=NaN","layer":1},{"info":"⫏≰20022212⨭⪣NaN=⫏≰-210","layer":0}]}
{"id":317,"expression_no_base_symbol":"⫛⫱⨽(((⇁⨣⪵$1585$)⪒$3157$≭$2148$)⨻⩈⩔($1377$⪉⨛$1003$)⨔⇊($1299$⩼⇪↪$6972$))","expression":"⫛⫱⨽(((⇁⨣⪵⫏≰2011201)⪒⫏≰11022221≭⫏≰2221120)⨻⩈⩔(⫏≰1220000⪉⨛⫏≰1101011)⨔⇊(⫏≰1210010⩼⇪↪⫏≰100120020))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1046,"operation_count":8,"complexity_ratio":130.75,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1585,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3157,"base":3},"right_expr":{"type":"numeric_atoms","value":2148,"base":3}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1377,"base":3},"right_expr":{"type":"numeric_atoms","value":1003,"base":3}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1299,"base":3},"right_expr":{"type":"numeric_atoms","value":6972,"base":3}}}}},"used_operators":["DlLNRPXxWL","nEsXyWgiOK","f6k1SAg4EE","inkyxCbjAn","rxpJgHHUmx","JclMnS0uGI","EWw2JM7wp4","ocnLzx9CaJ"],"dependent_operators":["rGHVDoGpnC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1585","layer":4},{"info":"compute unary expreesion, input=1585, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3157","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=2148, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1377","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1003, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3343","layer":3},{"info":"number node, value=1299","layer":4},{"info":"number node, value=6972","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=6972, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-46989","layer":3},{"info":"compute binary expreesion, left_input=3343, right_input=-46989, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫛⫱⨽(((⇁⨣⪵⫏≰2011201)⪒⫏≰11022221≭⫏≰2221120)⨻⩈⩔(⫏≰1220000⪉⨛⫏≰1101011)⨔⇊(⫏≰1210010⩼⇪↪⫏≰100120020))=NaN","reverse_text":"NaN=⫛⫱⨽(((⇁⨣⪵⫏≰2011201)⪒⫏≰11022221≭⫏≰2221120)⨻⩈⩔(⫏≰1220000⪉⨛⫏≰1101011)⨔⇊(⫏≰1210010⩼⇪↪⫏≰100120020))","cot":[{"info":"⇁⨣⪵⫏≰2011201=NaN","layer":3},{"info":"⫏≰11022221≭⫏≰2221120=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"⫏≰1220000⪉⨛⫏≰1101011=⫏≰11120211","layer":3},{"info":"⫏≰1210010⩼⇪↪⫏≰100120020=⫏≰-2101110100","layer":3},{"info":"⫏≰11120211⨔⇊⫏≰-2101110100=⫏≰2111","layer":2},{"info":"NaN⨻⩈⩔⫏≰2111=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"(($4600$⪒⊣⊆$3456$∪⫐$3936$⫁⪎$3653$)⨰(($4221$⊘)⋝⋈⪟$1094$∊∟⩊$1354$))⋣⋖((↑($1708$⨚⇆$2635$))⨐⩸⫘(($1026$⪷)⩹$1064$⫢⨠$5656$))","expression":"((⫏≰20022101⪒⊣⊆⫏≰11202000∪⫐⫏≰12101210⫁⪎⫏≰12000022)⨰((⫏≰12210100⊘)⋝⋈⪟⫏≰1111112∊∟⩊⫏≰1212011))⋣⋖((↑(⫏≰2100021⨚⇆⫏≰10121121))⨐⩸⫘((⫏≰1102000⪷)⩹⫏≰1110102⫢⨠⫏≰21202111))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":39092,"operation_count":14,"complexity_ratio":2792.285714285714,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4600,"base":3},"right_expr":{"type":"numeric_atoms","value":3456,"base":3}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3936,"base":3},"right_expr":{"type":"numeric_atoms","value":3653,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4221,"base":3}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1094,"base":3},"right_expr":{"type":"numeric_atoms","value":1354,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1708,"base":3},"right_expr":{"type":"numeric_atoms","value":2635,"base":3}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1026,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1064,"base":3},"right_expr":{"type":"numeric_atoms","value":5656,"base":3}}}}},"used_operators":["J0M6qkBnIM","eewbuw0ToL","7YooWSwCyH","eRqsBgTDFp","xRrnTEsQ6j","2DDjHMKMc0","gu96TGCTMs","ddLRYrp01A","fu6greOZ01","tR7O2zTn5j","lwHaAYXP2r","2Wsdkap16l","Qctrpi3WzA","xlXykHWxX1"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","sdazOOVcIp","W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","3ViojmjbAp","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Nsiff2A1zJ","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⫏≰110122010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4600","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=4600, right_input=3456, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9200","layer":3},{"info":"number node, value=3936","layer":4},{"info":"number node, value=3653","layer":4},{"info":"compute binary expreesion, left_input=3936, right_input=3653, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=283","layer":3},{"info":"compute binary expreesion, left_input=9200, right_input=283, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=9200","layer":2},{"info":"number node, value=4221","layer":4},{"info":"compute unary expreesion, input=4221, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1094","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1354, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1354","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1354, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9200, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9210","layer":1},{"info":"number node, value=1708","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=2635, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=5656, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, 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=158","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=158, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-161","layer":1},{"info":"compute binary expreesion, left_input=9210, right_input=-161, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=9210","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20022101⪒⊣⊆⫏≰11202000∪⫐⫏≰12101210⫁⪎⫏≰12000022)⨰((⫏≰12210100⊘)⋝⋈⪟⫏≰1111112∊∟⩊⫏≰1212011))⋣⋖((↑(⫏≰2100021⨚⇆⫏≰10121121))⨐⩸⫘((⫏≰1102000⪷)⩹⫏≰1110102⫢⨠⫏≰21202111))=⫏≰110122010","reverse_text":"⫏≰110122010=((⫏≰20022101⪒⊣⊆⫏≰11202000∪⫐⫏≰12101210⫁⪎⫏≰12000022)⨰((⫏≰12210100⊘)⋝⋈⪟⫏≰1111112∊∟⩊⫏≰1212011))⋣⋖((↑(⫏≰2100021⨚⇆⫏≰10121121))⨐⩸⫘((⫏≰1102000⪷)⩹⫏≰1110102⫢⨠⫏≰21202111))","cot":[{"info":"⫏≰20022101⪒⊣⊆⫏≰11202000=⫏≰110121202","layer":3},{"info":"⫏≰12101210⫁⪎⫏≰12000022=⫏≰101111","layer":3},{"info":"⫏≰110121202∪⫐⫏≰101111=⫏≰110121202","layer":2},{"info":"⫏≰12210100⊘=⫏≰0","layer":3},{"info":"⫏≰1111112∊∟⩊⫏≰1212011=⫏≰1212011","layer":3},{"info":"⫏≰0⋝⋈⪟⫏≰1212011=⫏≰0","layer":2},{"info":"⫏≰110121202⨰⫏≰0=⫏≰110122010","layer":1},{"info":"⫏≰2100021⨚⇆⫏≰10121121=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"⫏≰1102000⪷=NaN","layer":3},{"info":"⫏≰1110102⫢⨠⫏≰21202111=⫏≰12221","layer":3},{"info":"NaN⩹⫏≰12221=⫏≰12212","layer":2},{"info":"NaN⨐⩸⫘⫏≰12212=⫏≰-12222","layer":1},{"info":"⫏≰110122010⋣⋖⫏≰-12222=⫏≰110122010","layer":0}]}
{"id":319,"expression_no_base_symbol":"(⊽(($2866$↱$5192$)⨓$1035$⊢$8404$))⨰($1235$∠⫱$4762$)⪥($3327$⩎⪣⊞)⪪(⊑$4908$⊔$1564$)","expression":"(⊽((⫏≰10221011↱⫏≰21010022)⨓⫏≰1102100⊢⫏≰102112021))⨰(⫏≰1200202∠⫱⫏≰20112101)⪥(⫏≰11120020⩎⪣⊞)⪪(⊑⫏≰20201210⊔⫏≰2010221)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":78346,"operation_count":11,"complexity_ratio":7122.363636363636,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2866,"base":3},"right_expr":{"type":"numeric_atoms","value":5192,"base":3}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1035,"base":3},"right_expr":{"type":"numeric_atoms","value":8404,"base":3}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1235,"base":3},"right_expr":{"type":"numeric_atoms","value":4762,"base":3}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":3327,"base":3}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4908,"base":3},"right_expr":{"type":"numeric_atoms","value":1564,"base":3}}}}},"used_operators":["eewbuw0ToL","QxG7OkqoLX","3ViojmjbAp","SR5kFfdi6N","5twsqlHp2o","xD69zh8xqp","QbnwKVWMIQ","QvoQhV0rrE","waWucp1uQ4","IkUmn0D7oy","E4l6HwMY31"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","FU0Cs4j7VP","JclMnS0uGI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","mp7IySMOzn","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⫏≰2201200001212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2866","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=2866, right_input=5192, 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=-15054","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=8404","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=8404, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2314","layer":3},{"info":"compute binary expreesion, left_input=-15054, right_input=-2314, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2311","layer":2},{"info":"compute unary expreesion, input=2311, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=6144","layer":1},{"info":"number node, value=1235","layer":4},{"info":"number node, value=4762","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=4762, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3327","layer":4},{"info":"compute unary expreesion, input=3327, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=6654","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=6654, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9588","layer":2},{"info":"number node, value=4908","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=4908, right_input=1564, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=15236","layer":3},{"info":"compute unary expreesion, input=15236, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=9588, right_input=192, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1443877","layer":1},{"info":"compute binary expreesion, left_input=6144, right_input=-1443877, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1450031","layer":0}],"base":3,"result_base":3,"text":"(⊽((⫏≰10221011↱⫏≰21010022)⨓⫏≰1102100⊢⫏≰102112021))⨰(⫏≰1200202∠⫱⫏≰20112101)⪥(⫏≰11120020⩎⪣⊞)⪪(⊑⫏≰20201210⊔⫏≰2010221)=⫏≰2201200001212","reverse_text":"⫏≰2201200001212=(⊽((⫏≰10221011↱⫏≰21010022)⨓⫏≰1102100⊢⫏≰102112021))⨰(⫏≰1200202∠⫱⫏≰20112101)⪥(⫏≰11120020⩎⪣⊞)⪪(⊑⫏≰20201210⊔⫏≰2010221)","cot":[{"info":"⫏≰10221011↱⫏≰21010022=⫏≰-202122120","layer":3},{"info":"⫏≰1102100⊢⫏≰102112021=⫏≰-10011201","layer":3},{"info":"⫏≰-202122120⨓⫏≰-10011201=⫏≰10011121","layer":2},{"info":"⊽⫏≰10011121=⫏≰22102120","layer":1},{"info":"⫏≰1200202∠⫱⫏≰20112101=⫏≰1200201","layer":3},{"info":"⫏≰11120020⩎⪣⊞=⫏≰100010110","layer":3},{"info":"⫏≰1200201⪥⫏≰100010110=⫏≰111011010","layer":2},{"info":"⫏≰20201210⊔⫏≰2010221=⫏≰202220022","layer":3},{"info":"⊑⫏≰202220022=⫏≰21010","layer":2},{"info":"⫏≰111011010⪪⫏≰21010=⫏≰-2201100121221","layer":1},{"info":"⫏≰22102120⨰⫏≰-2201100121221=⫏≰2201200001212","layer":0}]}
{"id":320,"expression_no_base_symbol":"((≇⪴(⊑$1328$))⫒⫫((⩒∊$1015$)⊭↱(↥≼⋛$1866$)))⫒⫫($1231$⨎$2344$)⨸($2750$∐⫣)≄⊠($1619$+⇶⊼$2576$)⇡⇂($1483$≌$3260$)","expression":"((≇⪴(⊑⫏≰1211012))⫒⫫((⩒∊⫏≰1101121)⊭↱(↥≼⋛⫏≰2120010)))⫒⫫(⫏≰1200121⨎⫏≰10012211)⨸(⫏≰10202212∐⫣)≄⊠(⫏≰2012222+⇶⊼⫏≰10112102)⇡⇂(⫏≰2000221≌⫏≰11110202)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":602316,"operation_count":14,"complexity_ratio":43022.57142857143,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1328,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1015,"base":3}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1866,"base":3}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1231,"base":3},"right_expr":{"type":"numeric_atoms","value":2344,"base":3}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2750,"base":3}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1619,"base":3},"right_expr":{"type":"numeric_atoms","value":2576,"base":3}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1483,"base":3},"right_expr":{"type":"numeric_atoms","value":3260,"base":3}}}}},"used_operators":["6Ko8hGgeMq","zoVPnxeHJ3","IkUmn0D7oy","COABgblf1C","qazvmhNBbN","x5lMkHmzsq","vXNesLlMH1","KmoU8R5UQR","rJVOvQCfKK","4CyGpkTkEk","UMwdvZNt44","TpPTUOHfaN","lyWz822IDG"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","W4YGzv6Whe","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=768","layer":2},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1273","layer":3},{"info":"number node, value=1866","layer":4},{"info":"compute unary expreesion, input=1866, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=1273, right_input=-113, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2767","layer":2},{"info":"compute binary expreesion, left_input=768, right_input=-2767, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1231","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2344, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2344","layer":3},{"info":"number node, value=2750","layer":4},{"info":"compute unary expreesion, input=2750, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=2344, right_input=551, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4688","layer":2},{"info":"number node, value=1619","layer":4},{"info":"number node, value=2576","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=2576, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=3260","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=3260, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=4688, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((≇⪴(⊑⫏≰1211012))⫒⫫((⩒∊⫏≰1101121)⊭↱(↥≼⋛⫏≰2120010)))⫒⫫(⫏≰1200121⨎⫏≰10012211)⨸(⫏≰10202212∐⫣)≄⊠(⫏≰2012222+⇶⊼⫏≰10112102)⇡⇂(⫏≰2000221≌⫏≰11110202)=NaN","reverse_text":"NaN=((≇⪴(⊑⫏≰1211012))⫒⫫((⩒∊⫏≰1101121)⊭↱(↥≼⋛⫏≰2120010)))⫒⫫(⫏≰1200121⨎⫏≰10012211)⨸(⫏≰10202212∐⫣)≄⊠(⫏≰2012222+⇶⊼⫏≰10112102)⇡⇂(⫏≰2000221≌⫏≰11110202)","cot":[{"info":"⊑⫏≰1211012=⫏≰21010","layer":3},{"info":"≇⪴⫏≰21010=⫏≰1001110","layer":2},{"info":"⩒∊⫏≰1101121=⫏≰1202011","layer":3},{"info":"↥≼⋛⫏≰2120010=⫏≰-11012","layer":3},{"info":"⫏≰1202011⊭↱⫏≰-11012=⫏≰-10210111","layer":2},{"info":"⫏≰1001110⫒⫫⫏≰-10210111=NaN","layer":1},{"info":"⫏≰1200121⨎⫏≰10012211=⫏≰10012211","layer":3},{"info":"⫏≰10202212∐⫣=⫏≰202102","layer":3},{"info":"⫏≰10012211⨸⫏≰202102=⫏≰20102122","layer":2},{"info":"⫏≰2012222+⇶⊼⫏≰10112102=NaN","layer":3},{"info":"⫏≰2000221≌⫏≰11110202=NaN","layer":3},{"info":"NaN⇡⇂NaN=NaN","layer":2},{"info":"⫏≰20102122≄⊠NaN=⫏≰2001120","layer":1},{"info":"NaN⫒⫫⫏≰2001120=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"⇘($2076$⪔⊥$2985$⪥($7874$⫠)≥⨤⩑(∟⋨($3939$⇴∐$2541$)))","expression":"⇘(⫏≰2211220⪔⊥⫏≰11002120⪥(⫏≰101210122⫠)≥⨤⩑(∟⋨(⫏≰12101220⇴∐⫏≰10111010)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":112847,"operation_count":7,"complexity_ratio":16121.0,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2076,"base":3},"right_expr":{"type":"numeric_atoms","value":2985,"base":3}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":7874,"base":3}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3939,"base":3},"right_expr":{"type":"numeric_atoms","value":2541,"base":3}}}}},"used_operators":["MGuIdZPyUC","gJLn6v0xnP","QbnwKVWMIQ","HJ9erzHUuu","6SnOT2rOjz","ctOc4cKSDt","HnzytWxmAO"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","eLAdDNolq6","tmPS8pqC7x","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⫏≰10110212011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2076","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=2076, right_input=2985, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2135","layer":3},{"info":"number node, value=7874","layer":4},{"info":"compute unary expreesion, input=7874, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2135, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"number node, value=3939","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=2541, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=68422","layer":0}],"base":3,"result_base":3,"text":"⇘(⫏≰2211220⪔⊥⫏≰11002120⪥(⫏≰101210122⫠)≥⨤⩑(∟⋨(⫏≰12101220⇴∐⫏≰10111010)))=⫏≰10110212011","reverse_text":"⫏≰10110212011=⇘(⫏≰2211220⪔⊥⫏≰11002120⪥(⫏≰101210122⫠)≥⨤⩑(∟⋨(⫏≰12101220⇴∐⫏≰10111010)))","cot":[{"info":"⫏≰2211220⪔⊥⫏≰11002120=⫏≰2221002","layer":3},{"info":"⫏≰101210122⫠=⫏≰0","layer":3},{"info":"⫏≰2221002⪥⫏≰0=⫏≰-11022","layer":2},{"info":"⫏≰12101220⇴∐⫏≰10111010=NaN","layer":3},{"info":"∟⋨NaN=NaN","layer":2},{"info":"⫏≰-11022≥⨤⩑NaN=⫏≰1200201","layer":1},{"info":"⇘⫏≰1200201=⫏≰10110212011","layer":0}]}
{"id":322,"expression_no_base_symbol":"($8940$⫉⨲⊜$1347$⇼⇔∾$1121$⫸⇳$2813$)⩘($3106$%$6816$)⨐($6120$⩧⪆$3762$)∟","expression":"(⫏≰110021010⫉⨲⊜⫏≰1211220⇼⇔∾⫏≰1112112⫸⇳⫏≰10212012)⩘(⫏≰11021001%⫏≰100100110)⨐(⫏≰22101200⩧⪆⫏≰12011100)∟","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":185,"operation_count":8,"complexity_ratio":23.125,"tree":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":8940,"base":3},"right_expr":{"type":"numeric_atoms","value":1347,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1121,"base":3},"right_expr":{"type":"numeric_atoms","value":2813,"base":3}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3106,"base":3},"right_expr":{"type":"numeric_atoms","value":6816,"base":3}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6120,"base":3},"right_expr":{"type":"numeric_atoms","value":3762,"base":3}}}}},"used_operators":["hTbEZDJLEm","cHh1gJQ2o6","tifHPKVTfV","WhqkvtTD3t","gx7XJ7hdpj","Noe24qw2ks","k8jYdgA6NY","Ikt5ks8PT7"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","eewbuw0ToL","t8gj7n24qd"],"result":"⫏≰11012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8940","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=8940, right_input=1347, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=2813","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=2813, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=0","layer":2},{"info":"number node, value=3106","layer":4},{"info":"number node, value=6816","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=6816, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3106","layer":3},{"info":"number node, value=6120","layer":4},{"info":"number node, value=3762","layer":4},{"info":"compute binary expreesion, left_input=6120, right_input=3762, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3762","layer":3},{"info":"compute binary expreesion, left_input=3106, right_input=-3762, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6212","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-6212, 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 = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":0}],"base":3,"result_base":3,"text":"(⫏≰110021010⫉⨲⊜⫏≰1211220⇼⇔∾⫏≰1112112⫸⇳⫏≰10212012)⩘(⫏≰11021001%⫏≰100100110)⨐(⫏≰22101200⩧⪆⫏≰12011100)∟=⫏≰11012","reverse_text":"⫏≰11012=(⫏≰110021010⫉⨲⊜⫏≰1211220⇼⇔∾⫏≰1112112⫸⇳⫏≰10212012)⩘(⫏≰11021001%⫏≰100100110)⨐(⫏≰22101200⩧⪆⫏≰12011100)∟","cot":[{"info":"⫏≰110021010⫉⨲⊜⫏≰1211220=⫏≰0","layer":3},{"info":"⫏≰1112112⫸⇳⫏≰10212012=⫏≰0","layer":3},{"info":"⫏≰0⇼⇔∾⫏≰0=⫏≰0","layer":2},{"info":"⫏≰11021001%⫏≰100100110=⫏≰11021001","layer":3},{"info":"⫏≰22101200⩧⪆⫏≰12011100=⫏≰-12011100","layer":3},{"info":"⫏≰11021001⨐⫏≰-12011100=⫏≰-22112002","layer":2},{"info":"⫏≰0⩘⫏≰-22112002=⫏≰12221","layer":1},{"info":"⫏≰12221∟=⫏≰11012","layer":0}]}
{"id":323,"expression_no_base_symbol":"⇋↷(+⊝⨔(⊽($2111$⨰$4014$)))","expression":"⇋↷(+⊝⨔(⊽(⫏≰2220012⨰⫏≰12111200)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":4,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2111,"base":3},"right_expr":{"type":"numeric_atoms","value":4014,"base":3}}}}},"used_operators":["SWo3A1KBJH","DhbWaqg5eL","QxG7OkqoLX","eewbuw0ToL"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰121200222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2111","layer":4},{"info":"number node, value=4014","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=4014, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1893","layer":3},{"info":"compute unary expreesion, input=-1893, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12176","layer":0}],"base":3,"result_base":3,"text":"⇋↷(+⊝⨔(⊽(⫏≰2220012⨰⫏≰12111200)))=⫏≰121200222","reverse_text":"⫏≰121200222=⇋↷(+⊝⨔(⊽(⫏≰2220012⨰⫏≰12111200)))","cot":[{"info":"⫏≰2220012⨰⫏≰12111200=⫏≰-2121010","layer":3},{"info":"⊽⫏≰-2121010=⫏≰0","layer":2},{"info":"+⊝⨔⫏≰0=⫏≰2002101","layer":1},{"info":"⇋↷⫏≰2002101=⫏≰121200222","layer":0}]}
{"id":324,"expression_no_base_symbol":"((⫖→$1081$)⨚$5752$⪝$1903$⩵∡($2511$⫲≸⪮$6151$≣⋋))∴(⩰$5174$⨰$2174$)⨽∌($1856$↳≱$3448$⪇≇⋚$3351$⊢$4930$)","expression":"((⫖→⫏≰1111001)⨚⫏≰21220001⪝⫏≰2121111⩵∡(⫏≰10110000⫲≸⪮⫏≰22102211≣⋋))∴(⩰⫏≰21002122⨰⫏≰2222112)⨽∌(⫏≰2112202↳≱⫏≰11201201⪇≇⋚⫏≰11121010⊢⫏≰20202121)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4936,"operation_count":13,"complexity_ratio":379.6923076923077,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1081,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5752,"base":3},"right_expr":{"type":"numeric_atoms","value":1903,"base":3}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2511,"base":3},"right_expr":{"type":"numeric_atoms","value":6151,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5174,"base":3},"right_expr":{"type":"numeric_atoms","value":2174,"base":3}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1856,"base":3},"right_expr":{"type":"numeric_atoms","value":3448,"base":3}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3351,"base":3},"right_expr":{"type":"numeric_atoms","value":4930,"base":3}}}}},"used_operators":["hrf7POJlIJ","Y7wcNGrDQJ","nREPSIbpBE","U4ylXWHChL","wicAB68Tmb","Tcnh7f0tEr","P3lXMJvFrc","9samAPKr6k","WkeUrDK8WX","eewbuw0ToL","3sJ7IOPOlU","JwTKLfZU96","5twsqlHp2o"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","glklzrTFfD","tifHPKVTfV","BjRHVeLaeN","12rbrZMWeM","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⫏≰-111000210202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=5752","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=5752, right_input=1903, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-15795","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-15795, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=64468","layer":2},{"info":"number node, value=2511","layer":4},{"info":"number node, value=6151","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=6151, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2511","layer":3},{"info":"compute unary expreesion, input=2511, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=64468, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-129057","layer":1},{"info":"number node, value=5174","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=5174, right_input=2174, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3010","layer":3},{"info":"compute unary expreesion, input=3010, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-4010","layer":2},{"info":"number node, value=1856","layer":4},{"info":"number node, value=3448","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=3448, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3351","layer":4},{"info":"number node, value=4930","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=4930, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6946","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6946, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-4010, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-129057, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-256466","layer":0}],"base":3,"result_base":3,"text":"((⫖→⫏≰1111001)⨚⫏≰21220001⪝⫏≰2121111⩵∡(⫏≰10110000⫲≸⪮⫏≰22102211≣⋋))∴(⩰⫏≰21002122⨰⫏≰2222112)⨽∌(⫏≰2112202↳≱⫏≰11201201⪇≇⋚⫏≰11121010⊢⫏≰20202121)=⫏≰-111000210202","reverse_text":"⫏≰-111000210202=((⫖→⫏≰1111001)⨚⫏≰21220001⪝⫏≰2121111⩵∡(⫏≰10110000⫲≸⪮⫏≰22102211≣⋋))∴(⩰⫏≰21002122⨰⫏≰2222112)⨽∌(⫏≰2112202↳≱⫏≰11201201⪇≇⋚⫏≰11121010⊢⫏≰20202121)","cot":[{"info":"⫖→⫏≰1111001=⫏≰20120","layer":3},{"info":"⫏≰21220001⪝⫏≰2121111=⫏≰-210200000","layer":3},{"info":"⫏≰20120⨚⫏≰-210200000=⫏≰10021102201","layer":2},{"info":"⫏≰10110000⫲≸⪮⫏≰22102211=⫏≰10110000","layer":3},{"info":"⫏≰10110000≣⋋=⫏≰0","layer":2},{"info":"⫏≰10021102201⩵∡⫏≰0=⫏≰-20120000220","layer":1},{"info":"⫏≰21002122⨰⫏≰2222112=⫏≰11010111","layer":3},{"info":"⩰⫏≰11010111=⫏≰-12111112","layer":2},{"info":"⫏≰2112202↳≱⫏≰11201201=⫏≰0","layer":3},{"info":"⫏≰11121010⊢⫏≰20202121=⫏≰-100112021","layer":3},{"info":"⫏≰0⪇≇⋚⫏≰-100112021=⫏≰0","layer":2},{"info":"⫏≰-12111112⨽∌⫏≰0=NaN","layer":1},{"info":"⫏≰-20120000220∴NaN=⫏≰-111000210202","layer":0}]}
{"id":325,"expression_no_base_symbol":"⨛(($5498$∷$3729$)⩚⊴⇥$5090$⇂≾⫗$1917$)⫲≸⪮$3014$⋹⋡⊁$2459$⇤($7743$≝⊿$2396$)","expression":"⨛((⫏≰21112122∷⫏≰12010010)⩚⊴⇥⫏≰20222112⇂≾⫗⫏≰2122000)⫲≸⪮⫏≰11010122⋹⋡⊁⫏≰10101002⇤(⫏≰101121210≝⊿⫏≰10021202)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66532,"operation_count":8,"complexity_ratio":8316.5,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":5498,"base":3},"right_expr":{"type":"numeric_atoms","value":3729,"base":3}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5090,"base":3},"right_expr":{"type":"numeric_atoms","value":1917,"base":3}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3014,"base":3},"right_expr":{"type":"numeric_atoms","value":2459,"base":3}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":7743,"base":3},"right_expr":{"type":"numeric_atoms","value":2396,"base":3}}}}},"used_operators":["CoMdbyAt7R","P3lXMJvFrc","NTOWxs364D","D3AQDKkPcf","aBQ6xLxuTc","YSKBFp38Pu","As8RqfVLgs","OKKcZfAt5B"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","7j4O788W3g","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","12rbrZMWeM"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5498","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=5498, right_input=3729, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3729","layer":3},{"info":"number node, value=5090","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=5090, right_input=1917, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=3729, right_input=-676, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3174","layer":2},{"info":"number node, value=3014","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=3014, right_input=2459, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3209","layer":3},{"info":"number node, value=7743","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=7743, right_input=2396, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-13068","layer":3},{"info":"compute binary expreesion, left_input=3209, right_input=-13068, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=52143","layer":2},{"info":"compute binary expreesion, left_input=-3174, right_input=52143, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-3174","layer":1},{"info":"compute unary expreesion, input=-3174, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⨛((⫏≰21112122∷⫏≰12010010)⩚⊴⇥⫏≰20222112⇂≾⫗⫏≰2122000)⫲≸⪮⫏≰11010122⋹⋡⊁⫏≰10101002⇤(⫏≰101121210≝⊿⫏≰10021202)=⫏≰0","reverse_text":"⫏≰0=⨛((⫏≰21112122∷⫏≰12010010)⩚⊴⇥⫏≰20222112⇂≾⫗⫏≰2122000)⫲≸⪮⫏≰11010122⋹⋡⊁⫏≰10101002⇤(⫏≰101121210≝⊿⫏≰10021202)","cot":[{"info":"⫏≰21112122∷⫏≰12010010=⫏≰12010010","layer":3},{"info":"⫏≰20222112⇂≾⫗⫏≰2122000=⫏≰-221001","layer":3},{"info":"⫏≰12010010⩚⊴⇥⫏≰-221001=⫏≰-11100120","layer":2},{"info":"⫏≰11010122⋹⋡⊁⫏≰10101002=⫏≰11101212","layer":3},{"info":"⫏≰101121210≝⊿⫏≰10021202=⫏≰-122221000","layer":3},{"info":"⫏≰11101212⇤⫏≰-122221000=⫏≰2122112020","layer":2},{"info":"⫏≰-11100120⫲≸⪮⫏≰2122112020=⫏≰-11100120","layer":1},{"info":"⨛⫏≰-11100120=⫏≰0","layer":0}]}
{"id":326,"expression_no_base_symbol":"((≸$2923$)≚⊃≕$7188$⩼⇪↪$7284$)⋥⋵⩄(($5879$⫦⪉$4516$)⨔≚≋$1177$⨜⨶$3035$)⊋(⊙↵-($2220$⪉⨛$6319$))⇻⋧≁(($1626$⇌⫙⪟$4823$)⫉⨲⊜($1511$⨓$1709$))","expression":"((≸⫏≰11000021)≚⊃≕⫏≰100212020⩼⇪↪⫏≰100222210)⋥⋵⩄((⫏≰22001202⫦⪉⫏≰20012021)⨔≚≋⫏≰1121121⨜⨶⫏≰11011102)⊋(⊙↵-(⫏≰10001020⪉⨛⫏≰22200001))⇻⋧≁((⫏≰2020020⇌⫙⪟⫏≰20121122)⫉⨲⊜(⫏≰2001222⨓⫏≰2100022))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2672,"operation_count":14,"complexity_ratio":190.85714285714286,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2923,"base":3}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":7188,"base":3},"right_expr":{"type":"numeric_atoms","value":7284,"base":3}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5879,"base":3},"right_expr":{"type":"numeric_atoms","value":4516,"base":3}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1177,"base":3},"right_expr":{"type":"numeric_atoms","value":3035,"base":3}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2220,"base":3},"right_expr":{"type":"numeric_atoms","value":6319,"base":3}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1626,"base":3},"right_expr":{"type":"numeric_atoms","value":4823,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1511,"base":3},"right_expr":{"type":"numeric_atoms","value":1709,"base":3}}}}},"used_operators":["W4tP9CfskL","7t3wd0Fuz7","Bmrmz2XGnR","eOf03JbCpp","ocnLzx9CaJ","Z57zeUYC9z","wscyQdcy20","HiPekx5b7W","jCPkEVoL5K","oWn0xqSxBt","EWw2JM7wp4","WhqkvtTD3t","AFVx7xoS7T","3ViojmjbAp"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eewbuw0ToL","zVYPLywUTj","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫏≰-201202010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2923","layer":4},{"info":"compute unary expreesion, input=2923, 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":3},{"info":"number node, value=7188","layer":4},{"info":"number node, value=7284","layer":4},{"info":"compute binary expreesion, left_input=7188, right_input=7284, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-37395","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=-37395, 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=-74724","layer":2},{"info":"number node, value=5879","layer":4},{"info":"number node, value=4516","layer":4},{"info":"compute binary expreesion, left_input=5879, right_input=4516, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6858","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=3035, 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=-5814","layer":3},{"info":"compute binary expreesion, left_input=-6858, right_input=-5814, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=153480","layer":2},{"info":"compute binary expreesion, left_input=-74724, right_input=153480, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=2220","layer":4},{"info":"number node, value=6319","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=6319, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=556","layer":3},{"info":"compute unary expreesion, input=556, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1626","layer":4},{"info":"number node, value=4823","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=4823, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=1709, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1712","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-1712, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-1822","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-1822, 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=113, right_input=-447, 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=-14394","layer":0}],"base":3,"result_base":3,"text":"((≸⫏≰11000021)≚⊃≕⫏≰100212020⩼⇪↪⫏≰100222210)⋥⋵⩄((⫏≰22001202⫦⪉⫏≰20012021)⨔≚≋⫏≰1121121⨜⨶⫏≰11011102)⊋(⊙↵-(⫏≰10001020⪉⨛⫏≰22200001))⇻⋧≁((⫏≰2020020⇌⫙⪟⫏≰20121122)⫉⨲⊜(⫏≰2001222⨓⫏≰2100022))=⫏≰-201202010","reverse_text":"⫏≰-201202010=((≸⫏≰11000021)≚⊃≕⫏≰100212020⩼⇪↪⫏≰100222210)⋥⋵⩄((⫏≰22001202⫦⪉⫏≰20012021)⨔≚≋⫏≰1121121⨜⨶⫏≰11011102)⊋(⊙↵-(⫏≰10001020⪉⨛⫏≰22200001))⇻⋧≁((⫏≰2020020⇌⫙⪟⫏≰20121122)⫉⨲⊜(⫏≰2001222⨓⫏≰2100022))","cot":[{"info":"≸⫏≰11000021=⫏≰2011","layer":3},{"info":"⫏≰100212020⩼⇪↪⫏≰100222210=⫏≰-1220022000","layer":3},{"info":"⫏≰2011≚⊃≕⫏≰-1220022000=⫏≰-10210111120","layer":2},{"info":"⫏≰22001202⫦⪉⫏≰20012021=⫏≰-100102000","layer":3},{"info":"⫏≰1121121⨜⨶⫏≰11011102=⫏≰-21222100","layer":3},{"info":"⫏≰-100102000⨔≚≋⫏≰-21222100=⫏≰21210112110","layer":2},{"info":"⫏≰-10210111120⋥⋵⩄⫏≰21210112110=⫏≰11012","layer":1},{"info":"⫏≰10001020⪉⨛⫏≰22200001=⫏≰202121","layer":3},{"info":"⊙↵-⫏≰202121=⫏≰-1","layer":2},{"info":"⫏≰2020020⇌⫙⪟⫏≰20121122=⫏≰11012","layer":3},{"info":"⫏≰2001222⨓⫏≰2100022=⫏≰-2100102","layer":3},{"info":"⫏≰11012⫉⨲⊜⫏≰-2100102=⫏≰-2111111","layer":2},{"info":"⫏≰-1⇻⋧≁⫏≰-2111111=⫏≰-121120","layer":1},{"info":"⫏≰11012⊋⫏≰-121120=⫏≰-201202010","layer":0}]}
{"id":327,"expression_no_base_symbol":"($4238$⪶≀⋏$1876$⨸⪁$2682$⪃⊛⇣$4311$)⪛($1266$⇪⋭)⫞⩸⩒($1733$⪁$3346$)⫥∨⫟(↩⪖($1055$⋆⋳))⫯⪬∳(⊽($2166$∽$3255$))","expression":"(⫏≰12210222⪶≀⋏⫏≰2120111⨸⪁⫏≰10200100⪃⊛⇣⫏≰12220200)⪛(⫏≰1201220⇪⋭)⫞⩸⩒(⫏≰2101012⪁⫏≰11120221)⫥∨⫟(↩⪖(⫏≰1110002⋆⋳))⫯⪬∳(⊽(⫏≰2222020∽⫏≰11110120))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":124058779,"operation_count":13,"complexity_ratio":9542983.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4238,"base":3},"right_expr":{"type":"numeric_atoms","value":1876,"base":3}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2682,"base":3},"right_expr":{"type":"numeric_atoms","value":4311,"base":3}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1266,"base":3}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1733,"base":3},"right_expr":{"type":"numeric_atoms","value":3346,"base":3}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1055,"base":3}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2166,"base":3},"right_expr":{"type":"numeric_atoms","value":3255,"base":3}}}}},"used_operators":["KYD54nUTWz","uFcxV4UQCh","g55IO6H4Gj","zR4jO40bMj","rrgAzCduG9","XGcMNugi78","Z8Yg6dlDSp","I7sXao9hZE","d7ASUq0ydm","fG6uBQFnGz","6MpZysEj17","QxG7OkqoLX","y4ImoPnbV5"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4238","layer":4},{"info":"number node, value=1876","layer":4},{"info":"compute binary expreesion, left_input=4238, right_input=1876, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-16698","layer":3},{"info":"number node, value=2682","layer":4},{"info":"number node, value=4311","layer":4},{"info":"compute binary expreesion, left_input=2682, right_input=4311, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-16698, right_input=1234, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-30928","layer":2},{"info":"number node, value=1266","layer":4},{"info":"compute unary expreesion, input=1266, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=1733","layer":4},{"info":"number node, value=3346","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=3346, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30928, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2142","layer":3},{"info":"compute unary expreesion, input=-2142, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=27794","layer":2},{"info":"number node, value=2166","layer":4},{"info":"number node, value=3255","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=3255, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-20417","layer":3},{"info":"compute unary expreesion, input=-20417, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=27794, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=139003","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=139003, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12210222⪶≀⋏⫏≰2120111⨸⪁⫏≰10200100⪃⊛⇣⫏≰12220200)⪛(⫏≰1201220⇪⋭)⫞⩸⩒(⫏≰2101012⪁⫏≰11120221)⫥∨⫟(↩⪖(⫏≰1110002⋆⋳))⫯⪬∳(⊽(⫏≰2222020∽⫏≰11110120))=NaN","reverse_text":"NaN=(⫏≰12210222⪶≀⋏⫏≰2120111⨸⪁⫏≰10200100⪃⊛⇣⫏≰12220200)⪛(⫏≰1201220⇪⋭)⫞⩸⩒(⫏≰2101012⪁⫏≰11120221)⫥∨⫟(↩⪖(⫏≰1110002⋆⋳))⫯⪬∳(⊽(⫏≰2222020∽⫏≰11110120))","cot":[{"info":"⫏≰12210222⪶≀⋏⫏≰2120111=⫏≰-211220110","layer":3},{"info":"⫏≰10200100⪃⊛⇣⫏≰12220200=⫏≰1200201","layer":3},{"info":"⫏≰-211220110⨸⪁⫏≰1200201=⫏≰-1120102111","layer":2},{"info":"⫏≰1201220⇪⋭=NaN","layer":3},{"info":"⫏≰2101012⪁⫏≰11120221=NaN","layer":3},{"info":"NaN⫞⩸⩒NaN=NaN","layer":2},{"info":"⫏≰-1120102111⪛NaN=NaN","layer":1},{"info":"⫏≰1110002⋆⋳=⫏≰-2221100","layer":3},{"info":"↩⪖⫏≰-2221100=⫏≰1102010102","layer":2},{"info":"⫏≰2222020∽⫏≰11110120=⫏≰-1001000012","layer":3},{"info":"⊽⫏≰-1001000012=⫏≰0","layer":2},{"info":"⫏≰1102010102⫯⪬∳⫏≰0=⫏≰21001200021","layer":1},{"info":"NaN⫥∨⫟⫏≰21001200021=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"(∥⊫($2130$⫸⊐$5786$)⨸(⊗$6650$))∠↢(($1849$⊍)⫲≸⪮($2673$⩺⪪$2394$))⊢(⊁⨺($3612$/$2336$))","expression":"(∥⊫(⫏≰2220220⫸⊐⫏≰21221022)⨸(⊗⫏≰100010022))∠↢((⫏≰2112111⊍)⫲≸⪮(⫏≰10200000⩺⪪⫏≰10021200))⊢(⊁⨺(⫏≰11221210/⫏≰10012112))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27246,"operation_count":11,"complexity_ratio":2476.909090909091,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2130,"base":3},"right_expr":{"type":"numeric_atoms","value":5786,"base":3}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":6650,"base":3}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1849,"base":3}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2673,"base":3},"right_expr":{"type":"numeric_atoms","value":2394,"base":3}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3612,"base":3},"right_expr":{"type":"numeric_atoms","value":2336,"base":3}}}}},"used_operators":["KbjG8mgYpV","P8v4zCKN1o","KmoU8R5UQR","mqXw5SEYmG","RhiyfpczSx","5twsqlHp2o","P3lXMJvFrc","3nqY3DE9mg","uvdQJvN4PV","PxiHyQbrIp","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z"],"result":"⫏≰-10210200020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2130","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=5786, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23019","layer":3},{"info":"number node, value=6650","layer":4},{"info":"compute unary expreesion, input=6650, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-13300","layer":3},{"info":"compute binary expreesion, left_input=23019, right_input=-13300, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=46038","layer":2},{"info":"compute unary expreesion, input=46038, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=46906","layer":1},{"info":"number node, value=1849","layer":4},{"info":"compute unary expreesion, input=1849, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=3867","layer":3},{"info":"number node, value=2673","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=2673, right_input=2394, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-5362","layer":3},{"info":"compute binary expreesion, left_input=3867, right_input=-5362, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3867","layer":2},{"info":"number node, value=3612","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=2336, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=1852","layer":2},{"info":"compute binary expreesion, left_input=3867, right_input=1852, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7978","layer":1},{"info":"compute binary expreesion, left_input=46906, right_input=-7978, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-74850","layer":0}],"base":3,"result_base":3,"text":"(∥⊫(⫏≰2220220⫸⊐⫏≰21221022)⨸(⊗⫏≰100010022))∠↢((⫏≰2112111⊍)⫲≸⪮(⫏≰10200000⩺⪪⫏≰10021200))⊢(⊁⨺(⫏≰11221210/⫏≰10012112))=⫏≰-10210200020","reverse_text":"⫏≰-10210200020=(∥⊫(⫏≰2220220⫸⊐⫏≰21221022)⨸(⊗⫏≰100010022))∠↢((⫏≰2112111⊍)⫲≸⪮(⫏≰10200000⩺⪪⫏≰10021200))⊢(⊁⨺(⫏≰11221210/⫏≰10012112))","cot":[{"info":"⫏≰2220220⫸⊐⫏≰21221022=⫏≰1011120120","layer":3},{"info":"⊗⫏≰100010022=⫏≰-200020121","layer":3},{"info":"⫏≰1011120120⨸⫏≰-200020121=⫏≰2100011010","layer":2},{"info":"∥⊫⫏≰2100011010=⫏≰2101100021","layer":1},{"info":"⫏≰2112111⊍=⫏≰12022020","layer":3},{"info":"⫏≰10200000⩺⪪⫏≰10021200=⫏≰-21100121","layer":3},{"info":"⫏≰12022020⫲≸⪮⫏≰-21100121=⫏≰12022020","layer":2},{"info":"⫏≰11221210/⫏≰10012112=⫏≰1","layer":3},{"info":"⊁⨺⫏≰1=⫏≰2112121","layer":2},{"info":"⫏≰12022020⊢⫏≰2112121=⫏≰-101221111","layer":1},{"info":"⫏≰2101100021∠↢⫏≰-101221111=⫏≰-10210200020","layer":0}]}
{"id":329,"expression_no_base_symbol":"((≱⇩⩕(⊆⋠$2874$))⨴∎)∘(($6597$⫲≸⪮$5425$)⩍⋽⫝̸($3033$⊍⩺⋍$4267$))⨑⩅≇(⫎≠⋺($6668$≳⇉$3520$))","expression":"((≱⇩⩕(⊆⋠⫏≰10221110))⨴∎)∘((⫏≰100001100⫲≸⪮⫏≰21102221)⩍⋽⫝̸(⫏≰11011100⊍⩺⋍⫏≰12212001))⨑⩅≇(⫎≠⋺(⫏≰100010222≳⇉⫏≰11211101))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":150183990,"operation_count":10,"complexity_ratio":15018399.0,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2874,"base":3}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6597,"base":3},"right_expr":{"type":"numeric_atoms","value":5425,"base":3}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3033,"base":3},"right_expr":{"type":"numeric_atoms","value":4267,"base":3}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6668,"base":3},"right_expr":{"type":"numeric_atoms","value":3520,"base":3}}}}},"used_operators":["Z5m6OM72h2","CpSg5vQTgA","3DZMoQKiUl","EBhcHTkKd8","h92wMvzauj","BiWNJpBvwn","P3lXMJvFrc","OXDGMFPWZM","LYeZOJ0nQG","V0kx6qeWkN"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","Ph9nP6C5qx","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⫏≰-22121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2874","layer":4},{"info":"compute unary expreesion, input=2874, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=-116","layer":1},{"info":"number node, value=6597","layer":4},{"info":"number node, value=5425","layer":4},{"info":"compute binary expreesion, left_input=6597, right_input=5425, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6597","layer":3},{"info":"number node, value=3033","layer":4},{"info":"number node, value=4267","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=4267, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6597, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"number node, value=6668","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=6668, right_input=3520, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-116, right_input=935, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-232","layer":0}],"base":3,"result_base":3,"text":"((≱⇩⩕(⊆⋠⫏≰10221110))⨴∎)∘((⫏≰100001100⫲≸⪮⫏≰21102221)⩍⋽⫝̸(⫏≰11011100⊍⩺⋍⫏≰12212001))⨑⩅≇(⫎≠⋺(⫏≰100010222≳⇉⫏≰11211101))=⫏≰-22121","reverse_text":"⫏≰-22121=((≱⇩⩕(⊆⋠⫏≰10221110))⨴∎)∘((⫏≰100001100⫲≸⪮⫏≰21102221)⩍⋽⫝̸(⫏≰11011100⊍⩺⋍⫏≰12212001))⨑⩅≇(⫎≠⋺(⫏≰100010222≳⇉⫏≰11211101))","cot":[{"info":"⊆⋠⫏≰10221110=⫏≰0","layer":3},{"info":"≱⇩⩕⫏≰0=⫏≰11012","layer":2},{"info":"⫏≰11012⨴∎=⫏≰-11022","layer":1},{"info":"⫏≰100001100⫲≸⪮⫏≰21102221=⫏≰100001100","layer":3},{"info":"⫏≰11011100⊍⩺⋍⫏≰12212001=NaN","layer":3},{"info":"⫏≰100001100⩍⋽⫝̸NaN=NaN","layer":2},{"info":"⫏≰100010222≳⇉⫏≰11211101=NaN","layer":3},{"info":"⫎≠⋺NaN=NaN","layer":2},{"info":"NaN⨑⩅≇NaN=⫏≰1021122","layer":1},{"info":"⫏≰-11022∘⫏≰1021122=⫏≰-22121","layer":0}]}
{"id":330,"expression_no_base_symbol":"($1983$⨫⇇↔$1173$⋾⨃∁($1126$↡⊰⫅$6387$))⋕⪉⪜(($1862$↸$5738$)⋾⨃∁$1874$⪃⊛⇣$1374$)∖(≀↧⇸($2235$∊∟⩊$2131$⇩))","expression":"(⫏≰2201110⨫⇇↔⫏≰1121110⋾⨃∁(⫏≰1112201↡⊰⫅⫏≰22202120))⋕⪉⪜((⫏≰2112222↸⫏≰21212112)⋾⨃∁⫏≰2120102⪃⊛⇣⫏≰1212220)∖(≀↧⇸(⫏≰10001210∊∟⩊⫏≰2220221⇩))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":106520,"operation_count":11,"complexity_ratio":9683.636363636364,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1983,"base":3},"right_expr":{"type":"numeric_atoms","value":1173,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1126,"base":3},"right_expr":{"type":"numeric_atoms","value":6387,"base":3}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1862,"base":3},"right_expr":{"type":"numeric_atoms","value":5738,"base":3}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1874,"base":3},"right_expr":{"type":"numeric_atoms","value":1374,"base":3}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2235,"base":3},"right_expr":{"type":"numeric_atoms","value":2131,"base":3}}}}},"used_operators":["tXD093vOjl","z6LnFrNh4i","212REbPD9h","LXhwmt4mBO","VCtxkLNOzz","1eCjFl0mb9","rrgAzCduG9","ljTHtUsqzn","vRio1gEz1j","ddLRYrp01A"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1983","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=1173, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=6387","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=6387, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=12774","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=12774, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=1631597378","layer":2},{"info":"number node, value=1862","layer":4},{"info":"number node, value=5738","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=5738, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1862","layer":3},{"info":"number node, value=1874","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=1374, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1862, right_input=1234, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=15212658","layer":2},{"info":"compute binary expreesion, left_input=1631597378, right_input=15212658, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"number node, value=2235","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=2131, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2131","layer":3},{"info":"compute unary expreesion, input=2131, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=2224","layer":2},{"info":"compute unary expreesion, input=2224, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=4448","layer":1},{"info":"compute binary expreesion, left_input=2802, right_input=4448, 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":3,"result_base":3,"text":"(⫏≰2201110⨫⇇↔⫏≰1121110⋾⨃∁(⫏≰1112201↡⊰⫅⫏≰22202120))⋕⪉⪜((⫏≰2112222↸⫏≰21212112)⋾⨃∁⫏≰2120102⪃⊛⇣⫏≰1212220)∖(≀↧⇸(⫏≰10001210∊∟⩊⫏≰2220221⇩))=⫏≰0","reverse_text":"⫏≰0=(⫏≰2201110⨫⇇↔⫏≰1121110⋾⨃∁(⫏≰1112201↡⊰⫅⫏≰22202120))⋕⪉⪜((⫏≰2112222↸⫏≰21212112)⋾⨃∁⫏≰2120102⪃⊛⇣⫏≰1212220)∖(≀↧⇸(⫏≰10001210∊∟⩊⫏≰2220221⇩))","cot":[{"info":"⫏≰2201110⨫⇇↔⫏≰1121110=⫏≰-201112","layer":3},{"info":"⫏≰1112201↡⊰⫅⫏≰22202120=⫏≰122112010","layer":3},{"info":"⫏≰-201112⋾⨃∁⫏≰122112010=⫏≰11012201010201211112","layer":2},{"info":"⫏≰2112222↸⫏≰21212112=⫏≰2112222","layer":3},{"info":"⫏≰2120102⪃⊛⇣⫏≰1212220=⫏≰1200201","layer":3},{"info":"⫏≰2112222⋾⨃∁⫏≰1200201=⫏≰1001121212211210","layer":2},{"info":"⫏≰11012201010201211112⋕⪉⪜⫏≰1001121212211210=⫏≰10211210","layer":1},{"info":"⫏≰10001210∊∟⩊⫏≰2220221=⫏≰2220221","layer":3},{"info":"⫏≰2220221⇩=⫏≰10001101","layer":2},{"info":"≀↧⇸⫏≰10001101=⫏≰20002202","layer":1},{"info":"⫏≰10211210∖⫏≰20002202=⫏≰0","layer":0}]}
{"id":331,"expression_no_base_symbol":"⨂⪏⇭($3422$+⪬∐$1849$⊾⪯⋞$4724$⫘$1488$)⩖⊿((⇖⫷⫕$2453$)⇤($1930$⨐⩸⫘$1909$))","expression":"⨂⪏⇭(⫏≰11200202+⪬∐⫏≰2112111⊾⪯⋞⫏≰20110222⫘⫏≰2001010)⩖⊿((⇖⫷⫕⫏≰10100212)⇤(⫏≰2122111⨐⩸⫘⫏≰2121201))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5819,"operation_count":8,"complexity_ratio":727.375,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3422,"base":3},"right_expr":{"type":"numeric_atoms","value":1849,"base":3}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4724,"base":3},"right_expr":{"type":"numeric_atoms","value":1488,"base":3}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2453,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1930,"base":3},"right_expr":{"type":"numeric_atoms","value":1909,"base":3}}}}},"used_operators":["AYdpE9sXAk","RZ5CV9rWsJ","HK0tfVPux8","2GS7woTJqF","48vC8HMD2b","YSKBFp38Pu","UHmRx3INFg","fu6greOZ01"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","D4vGDi5EA2","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3422","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=1849, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10266","layer":3},{"info":"number node, value=4724","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=1488, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5559829","layer":3},{"info":"compute binary expreesion, left_input=-10266, right_input=5559829, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=11119232","layer":2},{"info":"number node, value=2453","layer":4},{"info":"compute unary expreesion, input=2453, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1930","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=1909, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11119232, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', 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":3,"result_base":3,"text":"⨂⪏⇭(⫏≰11200202+⪬∐⫏≰2112111⊾⪯⋞⫏≰20110222⫘⫏≰2001010)⩖⊿((⇖⫷⫕⫏≰10100212)⇤(⫏≰2122111⨐⩸⫘⫏≰2121201))=NaN","reverse_text":"NaN=⨂⪏⇭(⫏≰11200202+⪬∐⫏≰2112111⊾⪯⋞⫏≰20110222⫘⫏≰2001010)⩖⊿((⇖⫷⫕⫏≰10100212)⇤(⫏≰2122111⨐⩸⫘⫏≰2121201))","cot":[{"info":"⫏≰11200202+⪬∐⫏≰2112111=⫏≰-112002020","layer":3},{"info":"⫏≰20110222⫘⫏≰2001010=⫏≰101110110122121","layer":3},{"info":"⫏≰-112002020⊾⪯⋞⫏≰101110110122121=⫏≰202220220201102","layer":2},{"info":"⇖⫷⫕⫏≰10100212=⫏≰10212112","layer":3},{"info":"⫏≰2122111⨐⩸⫘⫏≰2121201=NaN","layer":3},{"info":"⫏≰10212112⇤NaN=NaN","layer":2},{"info":"⫏≰202220220201102⩖⊿NaN=NaN","layer":1},{"info":"⨂⪏⇭NaN=NaN","layer":0}]}
{"id":332,"expression_no_base_symbol":"(((∷≠$1963$)⊜)⋕⪉⪜(⋎⨆$1004$⫁⪎$4818$))⫗⊷⫓(($4275$⫣⪄⊒$3697$⫌⩉⩟$4321$⪬$1304$)≭($1093$⨓$1629$)⪛($3260$⪶≀⋏$4813$))","expression":"(((∷≠⫏≰2200201)⊜)⋕⪉⪜(⋎⨆⫏≰1101012⫁⪎⫏≰20121110))⫗⊷⫓((⫏≰12212100⫣⪄⊒⫏≰12001221⫌⩉⩟⫏≰12221001⪬⫏≰1210022)≭(⫏≰1111111⨓⫏≰2020100)⪛(⫏≰11110202⪶≀⋏⫏≰20121021))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10698,"operation_count":13,"complexity_ratio":822.9230769230769,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1963,"base":3}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":4818,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4275,"base":3},"right_expr":{"type":"numeric_atoms","value":3697,"base":3}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4321,"base":3},"right_expr":{"type":"numeric_atoms","value":1304,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1093,"base":3},"right_expr":{"type":"numeric_atoms","value":1629,"base":3}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3260,"base":3},"right_expr":{"type":"numeric_atoms","value":4813,"base":3}}}}},"used_operators":["zashukvMKz","z6LnFrNh4i","Eev2Q7dYIw","QiR2Oyf5Xj","E64sFOc4tB","xRrnTEsQ6j","rxpJgHHUmx","XIIwhv8d0m","RabNbG55vr","Ez1Nq5fNfI","uFcxV4UQCh","3ViojmjbAp","zR4jO40bMj"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","7j4O788W3g","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AHs5Up7iyr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1963","layer":4},{"info":"compute unary expreesion, input=1963, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1963","layer":3},{"info":"compute unary expreesion, input=1963, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-6116","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=4818","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=4818, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3814","layer":3},{"info":"compute unary expreesion, input=-3814, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-6116, right_input=8320752, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=4275","layer":4},{"info":"number node, value=3697","layer":4},{"info":"compute binary expreesion, left_input=4275, right_input=3697, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14144","layer":3},{"info":"number node, value=4321","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=4321, right_input=1304, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-14144, right_input=1234, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1629, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1632","layer":3},{"info":"number node, value=3260","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=4813, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19638","layer":3},{"info":"compute binary expreesion, left_input=-1632, right_input=-19638, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1632","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-1632, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=204, 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":3,"result_base":3,"text":"(((∷≠⫏≰2200201)⊜)⋕⪉⪜(⋎⨆⫏≰1101012⫁⪎⫏≰20121110))⫗⊷⫓((⫏≰12212100⫣⪄⊒⫏≰12001221⫌⩉⩟⫏≰12221001⪬⫏≰1210022)≭(⫏≰1111111⨓⫏≰2020100)⪛(⫏≰11110202⪶≀⋏⫏≰20121021))=⫏≰-11222","reverse_text":"⫏≰-11222=(((∷≠⫏≰2200201)⊜)⋕⪉⪜(⋎⨆⫏≰1101012⫁⪎⫏≰20121110))⫗⊷⫓((⫏≰12212100⫣⪄⊒⫏≰12001221⫌⩉⩟⫏≰12221001⪬⫏≰1210022)≭(⫏≰1111111⨓⫏≰2020100)⪛(⫏≰11110202⪶≀⋏⫏≰20121021))","cot":[{"info":"∷≠⫏≰2200201=⫏≰2200201","layer":3},{"info":"⫏≰2200201⊜=⫏≰-22101112","layer":2},{"info":"⫏≰1101012⫁⪎⫏≰20121110=⫏≰-12020021","layer":3},{"info":"⋎⨆⫏≰-12020021=⫏≰120122201221000","layer":2},{"info":"⫏≰-22101112⋕⪉⪜⫏≰120122201221000=⫏≰21120","layer":1},{"info":"⫏≰12212100⫣⪄⊒⫏≰12001221=⫏≰-201101212","layer":3},{"info":"⫏≰12221001⪬⫏≰1210022=⫏≰1200201","layer":3},{"info":"⫏≰-201101212⫌⩉⩟⫏≰1200201=⫏≰-1212","layer":2},{"info":"⫏≰1111111⨓⫏≰2020100=⫏≰-2020110","layer":3},{"info":"⫏≰11110202⪶≀⋏⫏≰20121021=⫏≰-222221100","layer":3},{"info":"⫏≰-2020110⪛⫏≰-222221100=⫏≰-2020110","layer":2},{"info":"⫏≰-1212≭⫏≰-2020110=NaN","layer":1},{"info":"⫏≰21120⫗⊷⫓NaN=⫏≰-11222","layer":0}]}
{"id":333,"expression_no_base_symbol":"⨭⩧⫛(($2198$⨚$2249$⋳⪒($2337$⫥∨⫟$1217$))↬(⩪∧⨌$6235$∘$5760$))","expression":"⨭⩧⫛((⫏≰10000102⨚⫏≰10002022⋳⪒(⫏≰10012120⫥∨⫟⫏≰1200002))↬(⩪∧⨌⫏≰22112221∘⫏≰21220100))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":193,"operation_count":7,"complexity_ratio":27.571428571428573,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2198,"base":3},"right_expr":{"type":"numeric_atoms","value":2249,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2337,"base":3},"right_expr":{"type":"numeric_atoms","value":1217,"base":3}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6235,"base":3},"right_expr":{"type":"numeric_atoms","value":5760,"base":3}}}}},"used_operators":["g21JL6JxX7","B5M0gjZbta","12rbrZMWeM","nREPSIbpBE","KYD54nUTWz","6iOiAJX1F8","Z5m6OM72h2"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2198","layer":4},{"info":"number node, value=2249","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=2249, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3666","layer":3},{"info":"number node, value=2337","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=1217, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3666, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=6235","layer":4},{"info":"number node, value=5760","layer":4},{"info":"compute binary expreesion, left_input=6235, right_input=5760, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=12470","layer":3},{"info":"compute unary expreesion, input=12470, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=124700","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=124700, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨭⩧⫛((⫏≰10000102⨚⫏≰10002022⋳⪒(⫏≰10012120⫥∨⫟⫏≰1200002))↬(⩪∧⨌⫏≰22112221∘⫏≰21220100))=NaN","reverse_text":"NaN=⨭⩧⫛((⫏≰10000102⨚⫏≰10002022⋳⪒(⫏≰10012120⫥∨⫟⫏≰1200002))↬(⩪∧⨌⫏≰22112221∘⫏≰21220100))","cot":[{"info":"⫏≰10000102⨚⫏≰10002022=⫏≰-12000210","layer":3},{"info":"⫏≰10012120⫥∨⫟⫏≰1200002=NaN","layer":3},{"info":"⫏≰-12000210⋳⪒NaN=NaN","layer":2},{"info":"⫏≰22112221∘⫏≰21220100=⫏≰122002212","layer":3},{"info":"⩪∧⨌⫏≰122002212=⫏≰20100001112","layer":2},{"info":"NaN↬⫏≰20100001112=NaN","layer":1},{"info":"⨭⩧⫛NaN=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"($2185$⨼⩣$2374$⫉⨲⊜($5718$⊍⩺⋍$3485$)⋓$2581$≴⪞⇿$5604$∥⊢⊲($4060$⩵∡$4316$))⫗⊷⫓(⨑⩽⪐((⇜⊴$1861$)↱(⨩∲⋌$1859$)))","expression":"(⫏≰2222221⨼⩣⫏≰10020221⫉⨲⊜(⫏≰21211210⊍⩺⋍⫏≰11210002)⋓⫏≰10112121≴⪞⇿⫏≰21200120∥⊢⊲(⫏≰12120101⩵∡⫏≰12220212))⫗⊷⫓(⨑⩽⪐((⇜⊴⫏≰2112221)↱(⨩∲⋌⫏≰2112212)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":90643,"operation_count":12,"complexity_ratio":7553.583333333333,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2185,"base":3},"right_expr":{"type":"numeric_atoms","value":2374,"base":3}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":5718,"base":3},"right_expr":{"type":"numeric_atoms","value":3485,"base":3}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2581,"base":3},"right_expr":{"type":"numeric_atoms","value":5604,"base":3}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4060,"base":3},"right_expr":{"type":"numeric_atoms","value":4316,"base":3}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1861,"base":3}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1859,"base":3}}}}},"used_operators":["zashukvMKz","T2fj7uvVaJ","WhqkvtTD3t","JxwMv5le6e","OXDGMFPWZM","v1UQAVDJRr","lvlrscuwVU","Y7wcNGrDQJ","AF7qkfDlqP","SR5kFfdi6N","XwDhCwWbUn","aSik1wnThz"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eewbuw0ToL","zVYPLywUTj","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2185","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=2374, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=5718","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=5718, right_input=3485, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"number node, value=2581","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=5604, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=10653962","layer":3},{"info":"number node, value=4060","layer":4},{"info":"number node, value=4316","layer":4},{"info":"compute binary expreesion, left_input=4060, right_input=4316, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3925","layer":3},{"info":"compute binary expreesion, left_input=10653962, right_input=-3925, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=1861","layer":4},{"info":"compute unary expreesion, input=1861, 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=-425482","layer":3},{"info":"number node, value=1859","layer":4},{"info":"compute unary expreesion, input=1859, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2382","layer":3},{"info":"compute binary expreesion, left_input=-425482, right_input=-2382, 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=-3744","layer":2},{"info":"compute unary expreesion, input=-3744, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=8277","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8277, 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":3,"result_base":3,"text":"(⫏≰2222221⨼⩣⫏≰10020221⫉⨲⊜(⫏≰21211210⊍⩺⋍⫏≰11210002)⋓⫏≰10112121≴⪞⇿⫏≰21200120∥⊢⊲(⫏≰12120101⩵∡⫏≰12220212))⫗⊷⫓(⨑⩽⪐((⇜⊴⫏≰2112221)↱(⨩∲⋌⫏≰2112212)))=⫏≰-11222","reverse_text":"⫏≰-11222=(⫏≰2222221⨼⩣⫏≰10020221⫉⨲⊜(⫏≰21211210⊍⩺⋍⫏≰11210002)⋓⫏≰10112121≴⪞⇿⫏≰21200120∥⊢⊲(⫏≰12120101⩵∡⫏≰12220212))⫗⊷⫓(⨑⩽⪐((⇜⊴⫏≰2112221)↱(⨩∲⋌⫏≰2112212)))","cot":[{"info":"⫏≰2222221⨼⩣⫏≰10020221=NaN","layer":3},{"info":"⫏≰21211210⊍⩺⋍⫏≰11210002=NaN","layer":3},{"info":"NaN⫉⨲⊜NaN=NaN","layer":2},{"info":"⫏≰10112121≴⪞⇿⫏≰21200120=⫏≰202001021111012","layer":3},{"info":"⫏≰12120101⩵∡⫏≰12220212=⫏≰-12101101","layer":3},{"info":"⫏≰202001021111012∥⊢⊲⫏≰-12101101=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⇜⊴⫏≰2112221=⫏≰-210121122121","layer":3},{"info":"⨩∲⋌⫏≰2112212=⫏≰-10021020","layer":3},{"info":"⫏≰-210121122121↱⫏≰-10021020=⫏≰-12010200","layer":2},{"info":"⨑⩽⪐⫏≰-12010200=⫏≰102100120","layer":1},{"info":"NaN⫗⊷⫓⫏≰102100120=⫏≰-11222","layer":0}]}
{"id":335,"expression_no_base_symbol":"(≇⪴((⪸$4358$)⪪($1092$⨔≚≋$2450$)))↺($6878$⊉≛↸$1436$)↳∿⪆($1519$⫒⫫$1534$)⋣⋖(($1067$⩅⪻⪻)≓∲$2195$⪭$8741$)","expression":"(≇⪴((⪸⫏≰12222102)⪪(⫏≰1111110⨔≚≋⫏≰10100202)))↺(⫏≰100102202⊉≛↸⫏≰1222012)↳∿⪆(⫏≰2002021⫒⫫⫏≰2002211)⋣⋖((⫏≰1110112⩅⪻⪻)≓∲⫏≰10000022⪭⫏≰102222202)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8232,"operation_count":12,"complexity_ratio":686.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":4358,"base":3}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1092,"base":3},"right_expr":{"type":"numeric_atoms","value":2450,"base":3}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6878,"base":3},"right_expr":{"type":"numeric_atoms","value":1436,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1519,"base":3},"right_expr":{"type":"numeric_atoms","value":1534,"base":3}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1067,"base":3}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2195,"base":3},"right_expr":{"type":"numeric_atoms","value":8741,"base":3}}}}},"used_operators":["7j4O788W3g","zoVPnxeHJ3","xD69zh8xqp","86A5ENbKR9","Z57zeUYC9z","J0M6qkBnIM","Cw4SuJJGHO","DZ8iAZOCBD","6Ko8hGgeMq","s1XTVnmDOJ","kHoXpA7yos","j9kHMeSvPp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4358","layer":4},{"info":"compute unary expreesion, input=4358, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-73877","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=2450","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=2450, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-73877, right_input=9872, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute unary expreesion, input=-6206, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-24824","layer":1},{"info":"number node, value=6878","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=6878, right_input=1436, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13756","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1534, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13756, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-157341","layer":3},{"info":"number node, value=2195","layer":4},{"info":"number node, value=8741","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=8741, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-157341, right_input=5, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-24824, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≇⪴((⪸⫏≰12222102)⪪(⫏≰1111110⨔≚≋⫏≰10100202)))↺(⫏≰100102202⊉≛↸⫏≰1222012)↳∿⪆(⫏≰2002021⫒⫫⫏≰2002211)⋣⋖((⫏≰1110112⩅⪻⪻)≓∲⫏≰10000022⪭⫏≰102222202)=NaN","reverse_text":"NaN=(≇⪴((⪸⫏≰12222102)⪪(⫏≰1111110⨔≚≋⫏≰10100202)))↺(⫏≰100102202⊉≛↸⫏≰1222012)↳∿⪆(⫏≰2002021⫒⫫⫏≰2002211)⋣⋖((⫏≰1110112⩅⪻⪻)≓∲⫏≰10000022⪭⫏≰102222202)","cot":[{"info":"⪸⫏≰12222102=⫏≰-10202100012","layer":3},{"info":"⫏≰1111110⨔≚≋⫏≰10100202=⫏≰111112122","layer":3},{"info":"⫏≰-10202100012⪪⫏≰111112122=⫏≰-22111212","layer":2},{"info":"≇⪴⫏≰-22111212=⫏≰-1021001102","layer":1},{"info":"⫏≰100102202⊉≛↸⫏≰1222012=⫏≰200212111","layer":3},{"info":"⫏≰2002021⫒⫫⫏≰2002211=NaN","layer":3},{"info":"⫏≰200212111↳∿⪆NaN=NaN","layer":2},{"info":"⫏≰1110112⩅⪻⪻=⫏≰-21222211110","layer":3},{"info":"⫏≰10000022⪭⫏≰102222202=⫏≰12","layer":3},{"info":"⫏≰-21222211110≓∲⫏≰12=⫏≰2111","layer":2},{"info":"NaN⋣⋖⫏≰2111=NaN","layer":1},{"info":"⫏≰-1021001102↺NaN=NaN","layer":0}]}
{"id":336,"expression_no_base_symbol":"($3707$⨥⫆$2322$⊉↱≁($1054$⊝⪿⪼$2222$)⪍↜⋙(⨑⩽⪐$2218$⊬⨰$1251$))⨘⋶⪀","expression":"(⫏≰12002022⨥⫆⫏≰10012000⊉↱≁(⫏≰1110001⊝⪿⪼⫏≰10001022)⪍↜⋙(⨑⩽⪐⫏≰10001011⊬⨰⫏≰1201100))⨘⋶⪀","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":175,"operation_count":7,"complexity_ratio":25.0,"tree":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3707,"base":3},"right_expr":{"type":"numeric_atoms","value":2322,"base":3}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1054,"base":3},"right_expr":{"type":"numeric_atoms","value":2222,"base":3}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2218,"base":3},"right_expr":{"type":"numeric_atoms","value":1251,"base":3}}}}},"used_operators":["XVKwrhznBb","L05ObWFQCd","w2P8NbNXyL","yXekIHxTD4","3Oe9XWJUTD","AF7qkfDlqP","s3Fd5m9Dh2"],"dependent_operators":["TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3707","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=3707, right_input=2322, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4520","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=2222, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25742","layer":3},{"info":"compute binary expreesion, left_input=4520, right_input=25742, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-110366","layer":2},{"info":"number node, value=2218","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=1251, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6166","layer":3},{"info":"compute unary expreesion, input=6166, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5893","layer":2},{"info":"compute binary expreesion, left_input=-110366, right_input=-5893, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=562833","layer":1},{"info":"compute unary expreesion, input=562833, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12002022⨥⫆⫏≰10012000⊉↱≁(⫏≰1110001⊝⪿⪼⫏≰10001022)⪍↜⋙(⨑⩽⪐⫏≰10001011⊬⨰⫏≰1201100))⨘⋶⪀=NaN","reverse_text":"NaN=(⫏≰12002022⨥⫆⫏≰10012000⊉↱≁(⫏≰1110001⊝⪿⪼⫏≰10001022)⪍↜⋙(⨑⩽⪐⫏≰10001011⊬⨰⫏≰1201100))⨘⋶⪀","cot":[{"info":"⫏≰12002022⨥⫆⫏≰10012000=⫏≰20012102","layer":3},{"info":"⫏≰1110001⊝⪿⪼⫏≰10001022=⫏≰1022022102","layer":3},{"info":"⫏≰20012102⊉↱≁⫏≰1022022102=⫏≰-12121101122","layer":2},{"info":"⫏≰10001011⊬⨰⫏≰1201100=⫏≰22110101","layer":3},{"info":"⨑⩽⪐⫏≰22110101=⫏≰-22002021","layer":2},{"info":"⫏≰-12121101122⪍↜⋙⫏≰-22002021=⫏≰1001121001200","layer":1},{"info":"⫏≰1001121001200⨘⋶⪀=NaN","layer":0}]}
{"id":337,"expression_no_base_symbol":"($3551$⋻⩜⩜$3041$∷($2791$⊟⇱)⋷$3319$⪪$3889$⋳⪒$1197$⪔⊥$3458$)⫢⨠((($1321$⨫⇇↔$1656$)∇⊂⋱(⫎≠⋺$1925$))⋹)","expression":"(⫏≰11212112⋻⩜⩜⫏≰11011122∷(⫏≰10211101⊟⇱)⋷⫏≰11112221⪪⫏≰12100001⋳⪒⫏≰1122100⪔⊥⫏≰11202002)⫢⨠(((⫏≰1210221⨫⇇↔⫏≰2021100)∇⊂⋱(⫎≠⋺⫏≰2122022))⋹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":152411,"operation_count":12,"complexity_ratio":12700.916666666666,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3551,"base":3},"right_expr":{"type":"numeric_atoms","value":3041,"base":3}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":2791,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3319,"base":3},"right_expr":{"type":"numeric_atoms","value":3889,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1197,"base":3},"right_expr":{"type":"numeric_atoms","value":3458,"base":3}}}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1321,"base":3},"right_expr":{"type":"numeric_atoms","value":1656,"base":3}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1925,"base":3}}}}},"used_operators":["xlXykHWxX1","23Mk6UjR3U","D3AQDKkPcf","oDCm7WA9JY","03sUfWo75k","12rbrZMWeM","xD69zh8xqp","HJ9erzHUuu","opAxDRczMr","nhYeJWJD5X","LXhwmt4mBO","LYeZOJ0nQG"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⫏≰1002222002221101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3551","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=3041, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7102","layer":3},{"info":"number node, value=2791","layer":4},{"info":"compute unary expreesion, input=2791, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=5898","layer":3},{"info":"compute binary expreesion, left_input=7102, right_input=5898, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5898","layer":2},{"info":"number node, value=3319","layer":4},{"info":"number node, value=3889","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=3889, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-497258","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=3458","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=3458, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-2327","layer":3},{"info":"compute binary expreesion, left_input=-497258, right_input=-2327, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-992476","layer":2},{"info":"compute binary expreesion, left_input=5898, right_input=-992476, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1990850","layer":1},{"info":"number node, value=1321","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=1656, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":1},{"info":"compute binary expreesion, left_input=-1990850, right_input=-20, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=15925690","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11212112⋻⩜⩜⫏≰11011122∷(⫏≰10211101⊟⇱)⋷⫏≰11112221⪪⫏≰12100001⋳⪒⫏≰1122100⪔⊥⫏≰11202002)⫢⨠(((⫏≰1210221⨫⇇↔⫏≰2021100)∇⊂⋱(⫎≠⋺⫏≰2122022))⋹)=⫏≰1002222002221101","reverse_text":"⫏≰1002222002221101=(⫏≰11212112⋻⩜⩜⫏≰11011122∷(⫏≰10211101⊟⇱)⋷⫏≰11112221⪪⫏≰12100001⋳⪒⫏≰1122100⪔⊥⫏≰11202002)⫢⨠(((⫏≰1210221⨫⇇↔⫏≰2021100)∇⊂⋱(⫎≠⋺⫏≰2122022))⋹)","cot":[{"info":"⫏≰11212112⋻⩜⩜⫏≰11011122=⫏≰100202001","layer":3},{"info":"⫏≰10211101⊟⇱=⫏≰22002110","layer":3},{"info":"⫏≰100202001∷⫏≰22002110=⫏≰22002110","layer":2},{"info":"⫏≰11112221⪪⫏≰12100001=⫏≰-221021002222","layer":3},{"info":"⫏≰1122100⪔⊥⫏≰11202002=⫏≰-10012012","layer":3},{"info":"⫏≰-221021002222⋳⪒⫏≰-10012012=⫏≰-1212102102101","layer":2},{"info":"⫏≰22002110⋷⫏≰-1212102102101=⫏≰-10202010221012","layer":1},{"info":"⫏≰1210221⨫⇇↔⫏≰2021100=⫏≰-201112","layer":3},{"info":"⫎≠⋺⫏≰2122022=⫏≰0","layer":3},{"info":"⫏≰-201112∇⊂⋱⫏≰0=⫏≰0","layer":2},{"info":"⫏≰0⋹=⫏≰-202","layer":1},{"info":"⫏≰-10202010221012⫢⨠⫏≰-202=⫏≰1002222002221101","layer":0}]}
{"id":338,"expression_no_base_symbol":"($2519$⪭$1818$⋾⨃∁(⩪∧⨌$3166$))∥⊢⊲($2796$→⨶⪴$1043$≠≀(⨩∲⋌$4823$))⊨(($8142$⊋$3710$⩨$4400$↼⊘⨖$3582$)⇀∌)","expression":"(⫏≰10110022⪭⫏≰2111100⋾⨃∁(⩪∧⨌⫏≰11100021))∥⊢⊲(⫏≰10211120→⨶⪴⫏≰1102122≠≀(⨩∲⋌⫏≰20121122))⊨((⫏≰102011120⊋⫏≰12002102⩨⫏≰20000222↼⊘⨖⫏≰11220200)⇀∌)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40764,"operation_count":12,"complexity_ratio":3397.0,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2519,"base":3},"right_expr":{"type":"numeric_atoms","value":1818,"base":3}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":3166,"base":3}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2796,"base":3},"right_expr":{"type":"numeric_atoms","value":1043,"base":3}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4823,"base":3}}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":8142,"base":3},"right_expr":{"type":"numeric_atoms","value":3710,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4400,"base":3},"right_expr":{"type":"numeric_atoms","value":3582,"base":3}}}}},"used_operators":["vg4gO5BX6G","v1UQAVDJRr","212REbPD9h","j9kHMeSvPp","6iOiAJX1F8","IwW236VD4Y","bF6eod5Gvf","aSik1wnThz","2k53nXOpI5","2DlMacCsIx","W4tP9CfskL","bPywburJMS"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⫏≰1202020211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2519","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=1818, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3166","layer":4},{"info":"compute unary expreesion, input=3166, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=31660","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=31660, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":2},{"info":"number node, value=2796","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=2796, right_input=1043, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3129","layer":3},{"info":"number node, value=4823","layer":4},{"info":"compute unary expreesion, input=4823, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5346","layer":3},{"info":"compute binary expreesion, left_input=-3129, right_input=-5346, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=8354","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=8354, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=8354","layer":1},{"info":"number node, value=8142","layer":4},{"info":"number node, value=3710","layer":4},{"info":"compute binary expreesion, left_input=8142, right_input=3710, 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=129819956","layer":3},{"info":"number node, value=4400","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=3582, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6942","layer":3},{"info":"compute binary expreesion, left_input=129819956, right_input=6942, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8354, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=34447","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10110022⪭⫏≰2111100⋾⨃∁(⩪∧⨌⫏≰11100021))∥⊢⊲(⫏≰10211120→⨶⪴⫏≰1102122≠≀(⨩∲⋌⫏≰20121122))⊨((⫏≰102011120⊋⫏≰12002102⩨⫏≰20000222↼⊘⨖⫏≰11220200)⇀∌)=⫏≰1202020211","reverse_text":"⫏≰1202020211=(⫏≰10110022⪭⫏≰2111100⋾⨃∁(⩪∧⨌⫏≰11100021))∥⊢⊲(⫏≰10211120→⨶⪴⫏≰1102122≠≀(⨩∲⋌⫏≰20121122))⊨((⫏≰102011120⊋⫏≰12002102⩨⫏≰20000222↼⊘⨖⫏≰11220200)⇀∌)","cot":[{"info":"⫏≰10110022⪭⫏≰2111100=⫏≰12","layer":3},{"info":"⩪∧⨌⫏≰11100021=⫏≰1121102121","layer":3},{"info":"⫏≰12⋾⨃∁⫏≰1121102121=Inf","layer":2},{"info":"⫏≰10211120→⨶⪴⫏≰1102122=⫏≰-11021220","layer":3},{"info":"⨩∲⋌⫏≰20121122=⫏≰-21100000","layer":3},{"info":"⫏≰-11021220≠≀⫏≰-21100000=⫏≰102110102","layer":2},{"info":"Inf∥⊢⊲⫏≰102110102=⫏≰102110102","layer":1},{"info":"⫏≰102011120⊋⫏≰12002102=⫏≰100001021112111112","layer":3},{"info":"⫏≰20000222↼⊘⨖⫏≰11220200=⫏≰100112010","layer":3},{"info":"⫏≰100001021112111112⩨⫏≰100112010=⫏≰0","layer":2},{"info":"⫏≰0⇀∌=NaN","layer":1},{"info":"⫏≰102110102⊨NaN=⫏≰1202020211","layer":0}]}
{"id":339,"expression_no_base_symbol":"⪭⩑⪱(($2945$⩉⊫⨁)⪔$1272$⩘$2155$)≨(≀↧⇸($4589$⩚⊴⇥$9416$))","expression":"⪭⩑⪱((⫏≰11001002⩉⊫⨁)⪔⫏≰1202010⩘⫏≰2221211)≨(≀↧⇸(⫏≰20021222⩚⊴⇥⫏≰110220202))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10282,"operation_count":7,"complexity_ratio":1468.857142857143,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2945,"base":3}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1272,"base":3},"right_expr":{"type":"numeric_atoms","value":2155,"base":3}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4589,"base":3},"right_expr":{"type":"numeric_atoms","value":9416,"base":3}}}}},"used_operators":["SIgE0bArFf","0KMCeP1Jsh","GjBEYRfMaF","7qqUquhhSb","cHh1gJQ2o6","ljTHtUsqzn","NTOWxs364D"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","7j4O788W3g","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰120122201221000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2945","layer":4},{"info":"compute unary expreesion, input=2945, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2945","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2155, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2945, right_input=160, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=4589","layer":4},{"info":"number node, value=9416","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=9416, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14126","layer":3},{"info":"compute unary expreesion, input=-14126, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=56504","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=56504, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-2024","layer":1},{"info":"compute unary expreesion, input=-2024, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":3,"result_base":3,"text":"⪭⩑⪱((⫏≰11001002⩉⊫⨁)⪔⫏≰1202010⩘⫏≰2221211)≨(≀↧⇸(⫏≰20021222⩚⊴⇥⫏≰110220202))=⫏≰120122201221000","reverse_text":"⫏≰120122201221000=⪭⩑⪱((⫏≰11001002⩉⊫⨁)⪔⫏≰1202010⩘⫏≰2221211)≨(≀↧⇸(⫏≰20021222⩚⊴⇥⫏≰110220202))","cot":[{"info":"⫏≰11001002⩉⊫⨁=⫏≰11001002","layer":3},{"info":"⫏≰1202010⩘⫏≰2221211=⫏≰12221","layer":3},{"info":"⫏≰11001002⪔⫏≰12221=⫏≰121200","layer":2},{"info":"⫏≰20021222⩚⊴⇥⫏≰110220202=⫏≰-201101012","layer":3},{"info":"≀↧⇸⫏≰-201101012=⫏≰2212111202","layer":2},{"info":"⫏≰121200≨⫏≰2212111202=⫏≰-2202222","layer":1},{"info":"⪭⩑⪱⫏≰-2202222=⫏≰120122201221000","layer":0}]}
{"id":340,"expression_no_base_symbol":"(⨛(∨∊⋏$2302$))⫉⨲⊜(($9126$⨸⪁$1130$)⩘($1587$⪛$5743$))⪥((($6112$≀⩗∶$1531$)⇣⩺⋵$3327$⨿$3812$)⊔$7722$⨔⇊$2602$↳∿⪆($2156$⫚⫇))","expression":"(⨛(∨∊⋏⫏≰10011021))⫉⨲⊜((⫏≰110112000⨸⪁⫏≰1112212)⩘(⫏≰2011210⪛⫏≰21212201))⪥(((⫏≰22101101≀⩗∶⫏≰2002201)⇣⩺⋵⫏≰11120020⨿⫏≰12020012)⊔⫏≰101121000⨔⇊⫏≰10120101↳∿⪆(⫏≰2221212⫚⫇))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2989,"operation_count":14,"complexity_ratio":213.5,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2302,"base":3}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":9126,"base":3},"right_expr":{"type":"numeric_atoms","value":1130,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1587,"base":3},"right_expr":{"type":"numeric_atoms","value":5743,"base":3}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":6112,"base":3},"right_expr":{"type":"numeric_atoms","value":1531,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3327,"base":3},"right_expr":{"type":"numeric_atoms","value":3812,"base":3}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":7722,"base":3},"right_expr":{"type":"numeric_atoms","value":2602,"base":3}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":2156,"base":3}}}}},"used_operators":["QbnwKVWMIQ","WhqkvtTD3t","CoMdbyAt7R","R5aXW34M0v","cHh1gJQ2o6","g55IO6H4Gj","uFcxV4UQCh","E4l6HwMY31","F4yD0voBRQ","8INZBEW696","abYXlopdE0","Cw4SuJJGHO","JclMnS0uGI","SdCjLnB6rR"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eewbuw0ToL","zVYPLywUTj","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2302","layer":4},{"info":"compute unary expreesion, input=2302, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=42047","layer":3},{"info":"compute unary expreesion, input=42047, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"number node, value=9126","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=9126, right_input=1130, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20512","layer":3},{"info":"number node, value=1587","layer":4},{"info":"number node, value=5743","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=5743, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1587","layer":3},{"info":"compute binary expreesion, left_input=20512, right_input=1587, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":1},{"info":"number node, value=6112","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=6112, right_input=1531, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3327","layer":4},{"info":"number node, value=3812","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=3812, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-319, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=7722","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=7722, right_input=2602, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2602","layer":3},{"info":"number node, value=2156","layer":4},{"info":"compute unary expreesion, input=2156, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=2844","layer":3},{"info":"compute binary expreesion, left_input=2602, right_input=2844, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨛(∨∊⋏⫏≰10011021))⫉⨲⊜((⫏≰110112000⨸⪁⫏≰1112212)⩘(⫏≰2011210⪛⫏≰21212201))⪥(((⫏≰22101101≀⩗∶⫏≰2002201)⇣⩺⋵⫏≰11120020⨿⫏≰12020012)⊔⫏≰101121000⨔⇊⫏≰10120101↳∿⪆(⫏≰2221212⫚⫇))=NaN","reverse_text":"NaN=(⨛(∨∊⋏⫏≰10011021))⫉⨲⊜((⫏≰110112000⨸⪁⫏≰1112212)⩘(⫏≰2011210⪛⫏≰21212201))⪥(((⫏≰22101101≀⩗∶⫏≰2002201)⇣⩺⋵⫏≰11120020⨿⫏≰12020012)⊔⫏≰101121000⨔⇊⫏≰10120101↳∿⪆(⫏≰2221212⫚⫇))","cot":[{"info":"∨∊⋏⫏≰10011021=⫏≰2010200022","layer":3},{"info":"⨛⫏≰2010200022=NaN","layer":2},{"info":"⫏≰110112000⨸⪁⫏≰1112212=⫏≰1001010201","layer":3},{"info":"⫏≰2011210⪛⫏≰21212201=⫏≰2011210","layer":3},{"info":"⫏≰1001010201⩘⫏≰2011210=⫏≰12221","layer":2},{"info":"NaN⫉⨲⊜⫏≰12221=NaN","layer":1},{"info":"⫏≰22101101≀⩗∶⫏≰2002201=⫏≰0","layer":3},{"info":"⫏≰11120020⨿⫏≰12020012=⫏≰-102211","layer":3},{"info":"⫏≰0⇣⩺⋵⫏≰-102211=⫏≰-100122","layer":2},{"info":"⫏≰101121000⨔⇊⫏≰10120101=⫏≰10120101","layer":3},{"info":"⫏≰2221212⫚⫇=⫏≰10220100","layer":3},{"info":"⫏≰10120101↳∿⪆⫏≰10220100=NaN","layer":2},{"info":"⫏≰-100122⊔NaN=NaN","layer":1},{"info":"NaN⪥NaN=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"⋎⨆(⊗$1992$)∋(↨$2080$)≃((⫶⊄≣$6603$)∲⫓$4401$⫃⨇$2021$)","expression":"⋎⨆(⊗⫏≰2201210)∋(↨⫏≰2212001)≃((⫶⊄≣⫏≰100001120)∲⫓⫏≰20001000⫃⨇⫏≰2202212)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6910,"operation_count":8,"complexity_ratio":863.75,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1992,"base":3}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2080,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":6603,"base":3}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4401,"base":3},"right_expr":{"type":"numeric_atoms","value":2021,"base":3}}}}},"used_operators":["E64sFOc4tB","YbVcJGFEVW","ukq6epAj5P","RhiyfpczSx","jiX4gk2v2Q","i8ToyICDmI","wxb3vTeyAj","09Ly4LVMIf"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":4},{"info":"compute unary expreesion, input=1992, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3984","layer":3},{"info":"number node, value=2080","layer":4},{"info":"compute unary expreesion, input=2080, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3984, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-38688","layer":2},{"info":"number node, value=6603","layer":4},{"info":"compute unary expreesion, input=6603, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=784908505","layer":3},{"info":"number node, value=4401","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=4401, right_input=2021, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8116","layer":3},{"info":"compute binary expreesion, left_input=784908505, right_input=-8116, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=784908505","layer":2},{"info":"compute binary expreesion, left_input=-38688, right_input=784908505, 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=77356","layer":1},{"info":"compute unary expreesion, input=77356, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"⋎⨆(⊗⫏≰2201210)∋(↨⫏≰2212001)≃((⫶⊄≣⫏≰100001120)∲⫓⫏≰20001000⫃⨇⫏≰2202212)=⫏≰0","reverse_text":"⫏≰0=⋎⨆(⊗⫏≰2201210)∋(↨⫏≰2212001)≃((⫶⊄≣⫏≰100001120)∲⫓⫏≰20001000⫃⨇⫏≰2202212)","cot":[{"info":"⊗⫏≰2201210=⫏≰-12110120","layer":3},{"info":"↨⫏≰2212001=NaN","layer":3},{"info":"⫏≰-12110120∋NaN=⫏≰-1222001220","layer":2},{"info":"⫶⊄≣⫏≰100001120=⫏≰2000200221111001101","layer":3},{"info":"⫏≰20001000⫃⨇⫏≰2202212=⫏≰-102010121","layer":3},{"info":"⫏≰2000200221111001101∲⫓⫏≰-102010121=⫏≰2000200221111001101","layer":2},{"info":"⫏≰-1222001220≃⫏≰2000200221111001101=⫏≰10221010001","layer":1},{"info":"⋎⨆⫏≰10221010001=⫏≰0","layer":0}]}
{"id":342,"expression_no_base_symbol":"(⩒∊$4818$)↬($1222$↸$5213$)≬⇓(⨭⩧⫛$4867$)⪍↜⋙($3343$⇼⇔∾$1949$)≓∲(($2064$⩨$3972$)⪣⫩)≎⪠(($4386$⨑≵⋬$1905$)⫒⫫($2620$≒∊$7218$))","expression":"(⩒∊⫏≰20121110)↬(⫏≰1200021↸⫏≰21011002)≬⇓(⨭⩧⫛⫏≰20200021)⪍↜⋙(⫏≰11120211⇼⇔∾⫏≰2200012)≓∲((⫏≰2211110⩨⫏≰12110010)⪣⫩)≎⪠((⫏≰20000110⨑≵⋬⫏≰2121120)⫒⫫(⫏≰10121001≒∊⫏≰100220100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20547,"operation_count":14,"complexity_ratio":1467.642857142857,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4818,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1222,"base":3},"right_expr":{"type":"numeric_atoms","value":5213,"base":3}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":4867,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3343,"base":3},"right_expr":{"type":"numeric_atoms","value":1949,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2064,"base":3},"right_expr":{"type":"numeric_atoms","value":3972,"base":3}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4386,"base":3},"right_expr":{"type":"numeric_atoms","value":1905,"base":3}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2620,"base":3},"right_expr":{"type":"numeric_atoms","value":7218,"base":3}}}}},"used_operators":["s1XTVnmDOJ","jWTQ2TZYIH","B5M0gjZbta","qazvmhNBbN","1eCjFl0mb9","L05ObWFQCd","g21JL6JxX7","tifHPKVTfV","aNhz54LH3e","iuk5sVOGFA","2DlMacCsIx","6Ko8hGgeMq","XnXgA4xnOs","5KTvxBwnZo"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rGHVDoGpnC","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4818","layer":4},{"info":"compute unary expreesion, input=4818, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=8879","layer":3},{"info":"number node, value=1222","layer":4},{"info":"number node, value=5213","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=5213, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1222","layer":3},{"info":"compute binary expreesion, left_input=8879, right_input=1222, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4867","layer":4},{"info":"compute unary expreesion, input=4867, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=3343","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=1949, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1394, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":1},{"info":"number node, value=2064","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=3972, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"number node, value=4386","layer":4},{"info":"number node, value=1905","layer":4},{"info":"compute binary expreesion, left_input=4386, right_input=1905, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=9974","layer":3},{"info":"number node, value=2620","layer":4},{"info":"number node, value=7218","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=7218, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2136","layer":3},{"info":"compute binary expreesion, left_input=9974, right_input=-2136, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=nan, 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=nan, right_input=19558, 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":3,"result_base":3,"text":"(⩒∊⫏≰20121110)↬(⫏≰1200021↸⫏≰21011002)≬⇓(⨭⩧⫛⫏≰20200021)⪍↜⋙(⫏≰11120211⇼⇔∾⫏≰2200012)≓∲((⫏≰2211110⩨⫏≰12110010)⪣⫩)≎⪠((⫏≰20000110⨑≵⋬⫏≰2121120)⫒⫫(⫏≰10121001≒∊⫏≰100220100))=NaN","reverse_text":"NaN=(⩒∊⫏≰20121110)↬(⫏≰1200021↸⫏≰21011002)≬⇓(⨭⩧⫛⫏≰20200021)⪍↜⋙(⫏≰11120211⇼⇔∾⫏≰2200012)≓∲((⫏≰2211110⩨⫏≰12110010)⪣⫩)≎⪠((⫏≰20000110⨑≵⋬⫏≰2121120)⫒⫫(⫏≰10121001≒∊⫏≰100220100))","cot":[{"info":"⩒∊⫏≰20121110=⫏≰110011212","layer":3},{"info":"⫏≰1200021↸⫏≰21011002=⫏≰1200021","layer":3},{"info":"⫏≰110011212↬⫏≰1200021=NaN","layer":2},{"info":"⨭⩧⫛⫏≰20200021=NaN","layer":3},{"info":"⫏≰11120211⇼⇔∾⫏≰2200012=⫏≰-1220122","layer":3},{"info":"NaN⪍↜⋙⫏≰-1220122=NaN","layer":2},{"info":"NaN≬⇓NaN=NaN","layer":1},{"info":"⫏≰2211110⩨⫏≰12110010=⫏≰-10","layer":3},{"info":"⫏≰-10⪣⫩=⫏≰1020211","layer":2},{"info":"⫏≰20000110⨑≵⋬⫏≰2121120=⫏≰111200102","layer":3},{"info":"⫏≰10121001≒∊⫏≰100220100=⫏≰-2221010","layer":3},{"info":"⫏≰111200102⫒⫫⫏≰-2221010=NaN","layer":2},{"info":"⫏≰1020211≎⪠NaN=⫏≰222211101","layer":1},{"info":"NaN≓∲⫏≰222211101=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"($3446$⨚$1533$⨳⩥⨓($9301$⇮⋭$1404$)⪒(⊗$3188$⊕∕$2308$))⇴(↨$6718$⫰⋱$1709$)≁↽≥((≀↧⇸$3111$)∼(⨩∲⋌$1045$))","expression":"(⫏≰11201122⨚⫏≰2002210⨳⩥⨓(⫏≰110202111⇮⋭⫏≰1221000)⪒(⊗⫏≰11101002⊕∕⫏≰10011111))⇴(↨⫏≰100012211⫰⋱⫏≰2100022)≁↽≥((≀↧⇸⫏≰11021020)∼(⨩∲⋌⫏≰1102201))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":424,"operation_count":13,"complexity_ratio":32.61538461538461,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3446,"base":3},"right_expr":{"type":"numeric_atoms","value":1533,"base":3}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":9301,"base":3},"right_expr":{"type":"numeric_atoms","value":1404,"base":3}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3188,"base":3},"right_expr":{"type":"numeric_atoms","value":2308,"base":3}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6718,"base":3},"right_expr":{"type":"numeric_atoms","value":1709,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3111,"base":3}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1045,"base":3}}}}},"used_operators":["4JB6nKBMSY","f6k1SAg4EE","nCS4ZIUYfx","nREPSIbpBE","vkpjKywKVM","RhiyfpczSx","9cloC0Ngie","ncHt1X6cMc","jiX4gk2v2Q","6o9Blt3TJ6","DyGG3AbaNP","ljTHtUsqzn","aSik1wnThz"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","BjRHVeLaeN","12rbrZMWeM","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","oWn0xqSxBt","3Oe9XWJUTD","rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3446","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=3446, right_input=1533, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1694","layer":3},{"info":"number node, value=9301","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=9301, right_input=1404, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=1694, right_input=-473, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2167","layer":2},{"info":"number node, value=3188","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=2308, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3188","layer":3},{"info":"compute unary expreesion, input=3188, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6376","layer":2},{"info":"compute binary expreesion, left_input=-2167, right_input=-6376, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8543","layer":1},{"info":"number node, value=6718","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=6718, right_input=1709, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6685","layer":3},{"info":"compute unary expreesion, input=-6685, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=3111","layer":4},{"info":"compute unary expreesion, input=3111, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=6222","layer":3},{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1568","layer":3},{"info":"compute binary expreesion, left_input=6222, right_input=-1568, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8543, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11201122⨚⫏≰2002210⨳⩥⨓(⫏≰110202111⇮⋭⫏≰1221000)⪒(⊗⫏≰11101002⊕∕⫏≰10011111))⇴(↨⫏≰100012211⫰⋱⫏≰2100022)≁↽≥((≀↧⇸⫏≰11021020)∼(⨩∲⋌⫏≰1102201))=NaN","reverse_text":"NaN=(⫏≰11201122⨚⫏≰2002210⨳⩥⨓(⫏≰110202111⇮⋭⫏≰1221000)⪒(⊗⫏≰11101002⊕∕⫏≰10011111))⇴(↨⫏≰100012211⫰⋱⫏≰2100022)≁↽≥((≀↧⇸⫏≰11021020)∼(⨩∲⋌⫏≰1102201))","cot":[{"info":"⫏≰11201122⨚⫏≰2002210=⫏≰2022202","layer":3},{"info":"⫏≰110202111⇮⋭⫏≰1221000=⫏≰-122112","layer":3},{"info":"⫏≰2022202⨳⩥⨓⫏≰-122112=⫏≰-2222021","layer":2},{"info":"⫏≰11101002⊕∕⫏≰10011111=⫏≰11101002","layer":3},{"info":"⊗⫏≰11101002=⫏≰-22202011","layer":2},{"info":"⫏≰-2222021⪒⫏≰-22202011=⫏≰102201102","layer":1},{"info":"⫏≰100012211⫰⋱⫏≰2100022=⫏≰-100011121","layer":3},{"info":"↨⫏≰-100011121=NaN","layer":2},{"info":"≀↧⇸⫏≰11021020=⫏≰22112110","layer":3},{"info":"⨩∲⋌⫏≰1102201=⫏≰-2011002","layer":3},{"info":"⫏≰22112110∼⫏≰-2011002=NaN","layer":2},{"info":"NaN≁↽≥NaN=NaN","layer":1},{"info":"⫏≰102201102⇴NaN=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"(+⊝⨔(⫶⊄≣$2973$)∇⊂⋱($1221$⋭≵$4628$))∑⇟⊟(⊲⪭($1576$∙⊟$6821$)⨿($3972$∴≳≥))","expression":"(+⊝⨔(⫶⊄≣⫏≰11002010)∇⊂⋱(⫏≰1200020⋭≵⫏≰20100102))∑⇟⊟(⊲⪭(⫏≰2011101∙⊟⫏≰100100122)⨿(⫏≰12110010∴≳≥))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26950,"operation_count":9,"complexity_ratio":2994.4444444444443,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2973,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1221,"base":3},"right_expr":{"type":"numeric_atoms","value":4628,"base":3}}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1576,"base":3},"right_expr":{"type":"numeric_atoms","value":6821,"base":3}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":3972,"base":3}}}}},"used_operators":["U7g4x0WXJJ","DhbWaqg5eL","nhYeJWJD5X","wxb3vTeyAj","jBncVCNhdl","k7HXdKtiEU","abYXlopdE0","SxTAKzQCrw","a3N2hFLK0J"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2973","layer":4},{"info":"compute unary expreesion, input=2973, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=159147325","layer":3},{"info":"number node, value=1221","layer":4},{"info":"number node, value=4628","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=4628, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=159147325, right_input=67, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=318294104","layer":2},{"info":"compute unary expreesion, input=318294104, 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=1576","layer":4},{"info":"number node, value=6821","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=6821, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30334","layer":3},{"info":"number node, value=3972","layer":4},{"info":"compute unary expreesion, input=3972, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=15888","layer":3},{"info":"compute binary expreesion, left_input=30334, right_input=15888, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute unary expreesion, input=-319, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=145","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=145, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(+⊝⨔(⫶⊄≣⫏≰11002010)∇⊂⋱(⫏≰1200020⋭≵⫏≰20100102))∑⇟⊟(⊲⪭(⫏≰2011101∙⊟⫏≰100100122)⨿(⫏≰12110010∴≳≥))=NaN","reverse_text":"NaN=(+⊝⨔(⫶⊄≣⫏≰11002010)∇⊂⋱(⫏≰1200020⋭≵⫏≰20100102))∑⇟⊟(⊲⪭(⫏≰2011101∙⊟⫏≰100100122)⨿(⫏≰12110010∴≳≥))","cot":[{"info":"⫶⊄≣⫏≰11002010=⫏≰102002110112002101","layer":3},{"info":"⫏≰1200020⋭≵⫏≰20100102=⫏≰2111","layer":3},{"info":"⫏≰102002110112002101∇⊂⋱⫏≰2111=⫏≰211011221000102112","layer":2},{"info":"+⊝⨔⫏≰211011221000102112=⫏≰2002101","layer":1},{"info":"⫏≰2011101∙⊟⫏≰100100122=⫏≰1112121111","layer":3},{"info":"⫏≰12110010∴≳≥=⫏≰210210110","layer":3},{"info":"⫏≰1112121111⨿⫏≰210210110=⫏≰-102211","layer":2},{"info":"⊲⪭⫏≰-102211=⫏≰12101","layer":1},{"info":"⫏≰2002101∑⇟⊟⫏≰12101=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"(≯(⫯(∑⇻≧$2305$)))∷(($2064$≦≮≮)⨟⋌⩍$3535$≁$2390$)⪚(⪛⨧($4883$≫≃))","expression":"(≯(⫯(∑⇻≧⫏≰10011101)))∷((⫏≰2211110≦≮≮)⨟⋌⩍⫏≰11211221≁⫏≰10021112)⪚(⪛⨧(⫏≰20200212≫≃))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":166,"operation_count":10,"complexity_ratio":16.6,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2305,"base":3}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2064,"base":3}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3535,"base":3},"right_expr":{"type":"numeric_atoms","value":2390,"base":3}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4883,"base":3}}}}},"used_operators":["D3AQDKkPcf","keWfFq85dY","H6BK1Evt7c","l1M9WJ3V7u","HrjLwUk87U","rGHVDoGpnC","D4vGDi5EA2","8N2wDY1A35","6NJAcO2OWT","X99M06cbEe"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","g55IO6H4Gj","JLbD19bQDL","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2305","layer":4},{"info":"compute unary expreesion, input=2305, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute unary expreesion, input=-852, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=36104","layer":2},{"info":"compute unary expreesion, input=36104, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=2064","layer":4},{"info":"compute unary expreesion, input=2064, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6192","layer":3},{"info":"number node, value=3535","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=3535, right_input=2390, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=44159","layer":3},{"info":"compute binary expreesion, left_input=-6192, right_input=44159, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4883","layer":4},{"info":"compute unary expreesion, input=4883, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11167","layer":3},{"info":"compute unary expreesion, input=11167, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=23735","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23735, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≯(⫯(∑⇻≧⫏≰10011101)))∷((⫏≰2211110≦≮≮)⨟⋌⩍⫏≰11211221≁⫏≰10021112)⪚(⪛⨧(⫏≰20200212≫≃))=NaN","reverse_text":"NaN=(≯(⫯(∑⇻≧⫏≰10011101)))∷((⫏≰2211110≦≮≮)⨟⋌⩍⫏≰11211221≁⫏≰10021112)⪚(⪛⨧(⫏≰20200212≫≃))","cot":[{"info":"∑⇻≧⫏≰10011101=⫏≰-1011120","layer":3},{"info":"⫯⫏≰-1011120=⫏≰1211112012","layer":2},{"info":"≯⫏≰1211112012=⫏≰0","layer":1},{"info":"⫏≰2211110≦≮≮=⫏≰-22111100","layer":3},{"info":"⫏≰11211221≁⫏≰10021112=⫏≰2020120112","layer":3},{"info":"⫏≰-22111100⨟⋌⩍⫏≰2020120112=NaN","layer":2},{"info":"⫏≰20200212≫≃=⫏≰120022121","layer":3},{"info":"⪛⨧⫏≰120022121=⫏≰1012120002","layer":2},{"info":"NaN⪚⫏≰1012120002=NaN","layer":1},{"info":"⫏≰0∷NaN=NaN","layer":0}]}
{"id":346,"expression_no_base_symbol":"($6679$⪝$3058$⫰⋱$3175$⪔⊥$1076$↡⊰⫅($1249$⫸⇳$3462$)⋕⪉⪜(⫟$3347$))⇻⋧≁((⨞⊢$1465$)⨥⫆$3889$⨔⇊$2819$⫘((↸⊣$2031$)∼(⫎≠⋺$5633$)))","expression":"(⫏≰100011101⪝⫏≰11012021⫰⋱⫏≰11100121⪔⊥⫏≰1110212↡⊰⫅(⫏≰1201021⫸⇳⫏≰11202020)⋕⪉⪜(⫟⫏≰11120222))⇻⋧≁((⨞⊢⫏≰2000021)⨥⫆⫏≰12100001⨔⇊⫏≰10212102⫘((↸⊣⫏≰2210020)∼(⫎≠⋺⫏≰21201122)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":45563,"operation_count":15,"complexity_ratio":3037.5333333333333,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6679,"base":3},"right_expr":{"type":"numeric_atoms","value":3058,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3175,"base":3},"right_expr":{"type":"numeric_atoms","value":1076,"base":3}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1249,"base":3},"right_expr":{"type":"numeric_atoms","value":3462,"base":3}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":3347,"base":3}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1465,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3889,"base":3},"right_expr":{"type":"numeric_atoms","value":2819,"base":3}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2031,"base":3}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":5633,"base":3}}}}},"used_operators":["jCPkEVoL5K","VCtxkLNOzz","6o9Blt3TJ6","wicAB68Tmb","HJ9erzHUuu","z6LnFrNh4i","gx7XJ7hdpj","z4E1FaHLuy","48vC8HMD2b","yXekIHxTD4","xUOZtlo3hN","JclMnS0uGI","DyGG3AbaNP","wztAlM01eG","LYeZOJ0nQG"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⫏≰-121120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6679","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=6679, right_input=3058, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-14883","layer":3},{"info":"number node, value=3175","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=3175, right_input=1076, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=10349","layer":3},{"info":"compute binary expreesion, left_input=-14883, right_input=10349, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=14916","layer":2},{"info":"number node, value=1249","layer":4},{"info":"number node, value=3462","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=3462, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=3347","layer":4},{"info":"compute unary expreesion, input=3347, 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=-9134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9134, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=14916, right_input=2802, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5604","layer":1},{"info":"number node, value=1465","layer":4},{"info":"compute unary expreesion, input=1465, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1639","layer":3},{"info":"number node, value=3889","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=3889, right_input=2819, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2819","layer":3},{"info":"compute binary expreesion, left_input=-1639, right_input=2819, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"number node, value=2031","layer":4},{"info":"compute unary expreesion, input=2031, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1744","layer":3},{"info":"number node, value=5633","layer":4},{"info":"compute unary expreesion, input=5633, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1744, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5604, right_input=nan, 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":3,"result_base":3,"text":"(⫏≰100011101⪝⫏≰11012021⫰⋱⫏≰11100121⪔⊥⫏≰1110212↡⊰⫅(⫏≰1201021⫸⇳⫏≰11202020)⋕⪉⪜(⫟⫏≰11120222))⇻⋧≁((⨞⊢⫏≰2000021)⨥⫆⫏≰12100001⨔⇊⫏≰10212102⫘((↸⊣⫏≰2210020)∼(⫎≠⋺⫏≰21201122)))=⫏≰-121120","reverse_text":"⫏≰-121120=(⫏≰100011101⪝⫏≰11012021⫰⋱⫏≰11100121⪔⊥⫏≰1110212↡⊰⫅(⫏≰1201021⫸⇳⫏≰11202020)⋕⪉⪜(⫟⫏≰11120222))⇻⋧≁((⨞⊢⫏≰2000021)⨥⫆⫏≰12100001⨔⇊⫏≰10212102⫘((↸⊣⫏≰2210020)∼(⫎≠⋺⫏≰21201122)))","cot":[{"info":"⫏≰100011101⪝⫏≰11012021=⫏≰-202102020","layer":3},{"info":"⫏≰11100121⪔⊥⫏≰1110212=⫏≰112012022","layer":3},{"info":"⫏≰-202102020⫰⋱⫏≰112012022=⫏≰202110110","layer":2},{"info":"⫏≰1201021⫸⇳⫏≰11202020=⫏≰0","layer":3},{"info":"⫟⫏≰11120222=⫏≰-110112022","layer":3},{"info":"⫏≰0⋕⪉⪜⫏≰-110112022=⫏≰10211210","layer":2},{"info":"⫏≰202110110↡⊰⫅⫏≰10211210=⫏≰21200120","layer":1},{"info":"⨞⊢⫏≰2000021=⫏≰-2020201","layer":3},{"info":"⫏≰12100001⨔⇊⫏≰10212102=⫏≰10212102","layer":3},{"info":"⫏≰-2020201⨥⫆⫏≰10212102=⫏≰0","layer":2},{"info":"↸⊣⫏≰2210020=⫏≰-2101121","layer":3},{"info":"⫎≠⋺⫏≰21201122=⫏≰0","layer":3},{"info":"⫏≰-2101121∼⫏≰0=⫏≰202","layer":2},{"info":"⫏≰0⫘⫏≰202=NaN","layer":1},{"info":"⫏≰21200120⇻⋧≁NaN=⫏≰-121120","layer":0}]}
{"id":347,"expression_no_base_symbol":"(($1716$⨱∎)⨽∌(⊵⊁$1506$)∲⫓($8073$⊲⩕⊾$1000$⪁$1382$⨔⇊$4529$))↬(≱⇩⩕$3918$↓$4576$⇍⊗($7756$/$3734$))","expression":"((⫏≰2100120⨱∎)⨽∌(⊵⊁⫏≰2001210)∲⫓(⫏≰102002000⊲⩕⊾⫏≰1101001⪁⫏≰1220012⨔⇊⫏≰20012202))↬(≱⇩⩕⫏≰12101010↓⫏≰20021111⇍⊗(⫏≰101122021/⫏≰12010022))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":356031897,"operation_count":12,"complexity_ratio":29669324.75,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":1716,"base":3}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1506,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":8073,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1382,"base":3},"right_expr":{"type":"numeric_atoms","value":4529,"base":3}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3918,"base":3},"right_expr":{"type":"numeric_atoms","value":4576,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7756,"base":3},"right_expr":{"type":"numeric_atoms","value":3734,"base":3}}}}},"used_operators":["B5M0gjZbta","i8ToyICDmI","9samAPKr6k","MmTdOpaElr","AvED76WdY7","I7sXao9hZE","DmTXOeWf9t","JclMnS0uGI","3DZMoQKiUl","5uvYHDjeKN","Af076pWI7l","XhwjNDsVaA"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","tifHPKVTfV","uBihLCJcMX","k8jYdgA6NY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1716","layer":4},{"info":"compute unary expreesion, input=1716, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=7966","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7966, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=8073","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=8073, right_input=1000, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-135798","layer":3},{"info":"number node, value=1382","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=4529, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4529","layer":3},{"info":"compute binary expreesion, left_input=-135798, right_input=4529, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=3918","layer":4},{"info":"number node, value=4576","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=4576, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=7756","layer":4},{"info":"number node, value=3734","layer":4},{"info":"compute binary expreesion, left_input=7756, right_input=3734, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=2, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":3,"result_base":3,"text":"((⫏≰2100120⨱∎)⨽∌(⊵⊁⫏≰2001210)∲⫓(⫏≰102002000⊲⩕⊾⫏≰1101001⪁⫏≰1220012⨔⇊⫏≰20012202))↬(≱⇩⩕⫏≰12101010↓⫏≰20021111⇍⊗(⫏≰101122021/⫏≰12010022))=NaN","reverse_text":"NaN=((⫏≰2100120⨱∎)⨽∌(⊵⊁⫏≰2001210)∲⫓(⫏≰102002000⊲⩕⊾⫏≰1101001⪁⫏≰1220012⨔⇊⫏≰20012202))↬(≱⇩⩕⫏≰12101010↓⫏≰20021111⇍⊗(⫏≰101122021/⫏≰12010022))","cot":[{"info":"⫏≰2100120⨱∎=⫏≰0","layer":3},{"info":"⊵⊁⫏≰2001210=⫏≰101221001","layer":3},{"info":"⫏≰0⨽∌⫏≰101221001=⫏≰0","layer":2},{"info":"⫏≰102002000⊲⩕⊾⫏≰1101001=⫏≰-20220021120","layer":3},{"info":"⫏≰1220012⨔⇊⫏≰20012202=⫏≰20012202","layer":3},{"info":"⫏≰-20220021120⪁⫏≰20012202=NaN","layer":2},{"info":"⫏≰0∲⫓NaN=NaN","layer":1},{"info":"⫏≰12101010↓⫏≰20021111=⫏≰-11222","layer":3},{"info":"⫏≰101122021/⫏≰12010022=⫏≰2","layer":3},{"info":"⫏≰-11222⇍⊗⫏≰2=⫏≰-100001","layer":2},{"info":"≱⇩⩕⫏≰-100001=⫏≰11012","layer":1},{"info":"NaN↬⫏≰11012=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"⇋⊎⋝(($1498$∓⋝$1409$∣($4876$⋭≵$3276$))⇤((⨞⊢$2081$)⨓(∟⋨$3854$)))","expression":"⇋⊎⋝((⫏≰2001111∓⋝⫏≰1221012∣(⫏≰20200121⋭≵⫏≰11111100))⇤((⨞⊢⫏≰2212002)⨓(∟⋨⫏≰12021202)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25789,"operation_count":8,"complexity_ratio":3223.625,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1498,"base":3},"right_expr":{"type":"numeric_atoms","value":1409,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4876,"base":3},"right_expr":{"type":"numeric_atoms","value":3276,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2081,"base":3}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3854,"base":3}}}}},"used_operators":["CzM2PEoXns","YSKBFp38Pu","PPChnnnBFF","PoHhknlbAi","jBncVCNhdl","3ViojmjbAp","xUOZtlo3hN","ctOc4cKSDt"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1498","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=1409, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=4876","layer":4},{"info":"number node, value=3276","layer":4},{"info":"compute binary expreesion, left_input=4876, right_input=3276, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=67, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=890","layer":2},{"info":"number node, value=2081","layer":4},{"info":"compute unary expreesion, input=2081, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2255","layer":3},{"info":"number node, value=3854","layer":4},{"info":"compute unary expreesion, input=3854, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3370","layer":3},{"info":"compute binary expreesion, left_input=-2255, right_input=-3370, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=3367","layer":2},{"info":"compute binary expreesion, left_input=890, right_input=3367, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-18437","layer":1},{"info":"compute unary expreesion, input=-18437, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇋⊎⋝((⫏≰2001111∓⋝⫏≰1221012∣(⫏≰20200121⋭≵⫏≰11111100))⇤((⨞⊢⫏≰2212002)⨓(∟⋨⫏≰12021202)))=NaN","reverse_text":"NaN=⇋⊎⋝((⫏≰2001111∓⋝⫏≰1221012∣(⫏≰20200121⋭≵⫏≰11111100))⇤((⨞⊢⫏≰2212002)⨓(∟⋨⫏≰12021202)))","cot":[{"info":"⫏≰2001111∓⋝⫏≰1221012=⫏≰2111","layer":3},{"info":"⫏≰20200121⋭≵⫏≰11111100=⫏≰2111","layer":3},{"info":"⫏≰2111∣⫏≰2111=⫏≰1012222","layer":2},{"info":"⨞⊢⫏≰2212002=⫏≰-10002112","layer":3},{"info":"∟⋨⫏≰12021202=⫏≰-11121211","layer":3},{"info":"⫏≰-10002112⨓⫏≰-11121211=⫏≰11121201","layer":2},{"info":"⫏≰1012222⇤⫏≰11121201=⫏≰-221021212","layer":1},{"info":"⇋⊎⋝⫏≰-221021212=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"≯(↯⪼($3327$⨻⩈⩔$1774$)⪎↠($5910$⫸⊐$8702$))","expression":"≯(↯⪼(⫏≰11120020⨻⩈⩔⫏≰2102201)⪎↠(⫏≰22002220⫸⊐⫏≰102221022))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":185,"operation_count":5,"complexity_ratio":37.0,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3327,"base":3},"right_expr":{"type":"numeric_atoms","value":1774,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5910,"base":3},"right_expr":{"type":"numeric_atoms","value":8702,"base":3}}}}},"used_operators":["keWfFq85dY","8jW3W4yZS5","3tVxb0NHM4","nEsXyWgiOK","mqXw5SEYmG"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3327","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=1774, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=18215","layer":3},{"info":"number node, value=5910","layer":4},{"info":"number node, value=8702","layer":4},{"info":"compute binary expreesion, left_input=5910, right_input=8702, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=34683","layer":3},{"info":"compute binary expreesion, left_input=18215, right_input=34683, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":3,"result_base":3,"text":"≯(↯⪼(⫏≰11120020⨻⩈⩔⫏≰2102201)⪎↠(⫏≰22002220⫸⊐⫏≰102221022))=⫏≰0","reverse_text":"⫏≰0=≯(↯⪼(⫏≰11120020⨻⩈⩔⫏≰2102201)⪎↠(⫏≰22002220⫸⊐⫏≰102221022))","cot":[{"info":"⫏≰11120020⨻⩈⩔⫏≰2102201=⫏≰220222122","layer":3},{"info":"⫏≰22002220⫸⊐⫏≰102221022=⫏≰1202120120","layer":3},{"info":"⫏≰220222122⪎↠⫏≰1202120120=⫏≰12221","layer":2},{"info":"↯⪼⫏≰12221=⫏≰-210","layer":1},{"info":"≯⫏≰-210=⫏≰0","layer":0}]}
{"id":350,"expression_no_base_symbol":"(($2724$⨂≜$5061$≄⊠($6083$⊹∫⫚$7054$))⊝⪿⪼(∷≠($6079$⋩≍≻)))⨪↰⇹(↥($3945$⊉≛↸$1312$)⪇≇⋚($2693$⩟))","expression":"((⫏≰10201220⨂≜⫏≰20221110≄⊠(⫏≰22100022⊹∫⫚⫏≰100200021))⊝⪿⪼(∷≠(⫏≰22100011⋩≍≻)))⨪↰⇹(↥(⫏≰12102010⊉≛↸⫏≰1210121)⪇≇⋚(⫏≰10200202⩟))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":32432,"operation_count":11,"complexity_ratio":2948.3636363636365,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2724,"base":3},"right_expr":{"type":"numeric_atoms","value":5061,"base":3}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6083,"base":3},"right_expr":{"type":"numeric_atoms","value":7054,"base":3}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":6079,"base":3}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3945,"base":3},"right_expr":{"type":"numeric_atoms","value":1312,"base":3}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":2693,"base":3}}}}},"used_operators":["tmPS8pqC7x","3Oe9XWJUTD","vXNesLlMH1","k1SHOSEABc","uWAJUKEvyW","QiR2Oyf5Xj","WYd1w68Nbz","A8NUZmVepG","3sJ7IOPOlU","DZ8iAZOCBD","fOIeswaMU4"],"dependent_operators":["rJVOvQCfKK","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","7j4O788W3g","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","k8jYdgA6NY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM"],"result":"⫏≰1111101220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2724","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=5061, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=6083","layer":4},{"info":"number node, value=7054","layer":4},{"info":"compute binary expreesion, left_input=6083, right_input=7054, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-296","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-296, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=6079","layer":4},{"info":"compute unary expreesion, input=6079, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-55, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=29454","layer":1},{"info":"number node, value=3945","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=1312, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7890","layer":3},{"info":"number node, value=2693","layer":4},{"info":"compute unary expreesion, input=2693, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-23010","layer":3},{"info":"compute binary expreesion, left_input=7890, right_input=-23010, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=29454, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=29454","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10201220⨂≜⫏≰20221110≄⊠(⫏≰22100022⊹∫⫚⫏≰100200021))⊝⪿⪼(∷≠(⫏≰22100011⋩≍≻)))⨪↰⇹(↥(⫏≰12102010⊉≛↸⫏≰1210121)⪇≇⋚(⫏≰10200202⩟))=⫏≰1111101220","reverse_text":"⫏≰1111101220=((⫏≰10201220⨂≜⫏≰20221110≄⊠(⫏≰22100022⊹∫⫚⫏≰100200021))⊝⪿⪼(∷≠(⫏≰22100011⋩≍≻)))⨪↰⇹(↥(⫏≰12102010⊉≛↸⫏≰1210121)⪇≇⋚(⫏≰10200202⩟))","cot":[{"info":"⫏≰10201220⨂≜⫏≰20221110=NaN","layer":3},{"info":"⫏≰22100022⊹∫⫚⫏≰100200021=⫏≰-101222","layer":3},{"info":"NaN≄⊠⫏≰-101222=⫏≰2001120","layer":2},{"info":"⫏≰22100011⋩≍≻=⫏≰-2001","layer":3},{"info":"∷≠⫏≰-2001=⫏≰-2001","layer":2},{"info":"⫏≰2001120⊝⪿⪼⫏≰-2001=⫏≰1111101220","layer":1},{"info":"⫏≰12102010⊉≛↸⫏≰1210121=⫏≰101211020","layer":3},{"info":"⫏≰10200202⩟=⫏≰-1011120020","layer":3},{"info":"⫏≰101211020⪇≇⋚⫏≰-1011120020=⫏≰0","layer":2},{"info":"↥⫏≰0=⫏≰0","layer":1},{"info":"⫏≰1111101220⨪↰⇹⫏≰0=⫏≰1111101220","layer":0}]}
{"id":351,"expression_no_base_symbol":"(⋂($1509$⪬$1044$⪛⫼$1401$≭$5920$))*((⋗⩴⪓$3466$)⪗)⇴($1673$≁↽≥$2036$⫸⊐(⇙⪊$5632$))","expression":"(⋂(⫏≰2001220⪬⫏≰1102200⪛⫼⫏≰1220220≭⫏≰22010021))*((⋗⩴⪓⫏≰11202101)⪗)⇴(⫏≰2021222≁↽≥⫏≰2210102⫸⊐(⇙⪊⫏≰21201121))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6818,"operation_count":11,"complexity_ratio":619.8181818181819,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1509,"base":3},"right_expr":{"type":"numeric_atoms","value":1044,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1401,"base":3},"right_expr":{"type":"numeric_atoms","value":5920,"base":3}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":3466,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1673,"base":3},"right_expr":{"type":"numeric_atoms","value":2036,"base":3}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":5632,"base":3}}}}},"used_operators":["9HNa5Wba9A","BUOGQAYlQx","hyuBjUqXlG","Ez1Nq5fNfI","rxpJgHHUmx","4JB6nKBMSY","VEQNXA0ZBg","nOKPl9n5zu","mqXw5SEYmG","ncHt1X6cMc","pB6Fcnrjim"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","AHs5Up7iyr","sdazOOVcIp","NTOWxs364D","COABgblf1C","dWAJyo7jo9","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1509","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1044, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=5920","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=5920, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, 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":2},{"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":1},{"info":"number node, value=3466","layer":4},{"info":"compute unary expreesion, input=3466, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2553","layer":3},{"info":"compute unary expreesion, input=-2553, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1673","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=2036, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=27521","layer":3},{"info":"number node, value=5632","layer":4},{"info":"compute unary expreesion, input=5632, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=27521, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-125, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋂(⫏≰2001220⪬⫏≰1102200⪛⫼⫏≰1220220≭⫏≰22010021))*((⋗⩴⪓⫏≰11202101)⪗)⇴(⫏≰2021222≁↽≥⫏≰2210102⫸⊐(⇙⪊⫏≰21201121))=NaN","reverse_text":"NaN=(⋂(⫏≰2001220⪬⫏≰1102200⪛⫼⫏≰1220220≭⫏≰22010021))*((⋗⩴⪓⫏≰11202101)⪗)⇴(⫏≰2021222≁↽≥⫏≰2210102⫸⊐(⇙⪊⫏≰21201121))","cot":[{"info":"⫏≰2001220⪬⫏≰1102200=⫏≰1200201","layer":3},{"info":"⫏≰1220220≭⫏≰22010021=NaN","layer":3},{"info":"⫏≰1200201⪛⫼NaN=NaN","layer":2},{"info":"⋂NaN=NaN","layer":1},{"info":"⋗⩴⪓⫏≰11202101=⫏≰-10111120","layer":3},{"info":"⫏≰-10111120⪗=NaN","layer":2},{"info":"⫏≰2021222≁↽≥⫏≰2210102=⫏≰1101202022","layer":3},{"info":"⇙⪊⫏≰21201121=⫏≰0","layer":3},{"info":"⫏≰1101202022⫸⊐⫏≰0=⫏≰-11122","layer":2},{"info":"NaN⇴⫏≰-11122=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"⨭⩧⫛(⊑(⊄⩳↩$1298$≁↽≥$1553$))","expression":"⨭⩧⫛(⊑(⊄⩳↩⫏≰1210002≁↽≥⫏≰2010112))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37306,"operation_count":4,"complexity_ratio":9326.5,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1298,"base":3},"right_expr":{"type":"numeric_atoms","value":1553,"base":3}}}}},"used_operators":["g21JL6JxX7","IkUmn0D7oy","8w2t5hMYqp","ncHt1X6cMc"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1298","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1553, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=23612","layer":3},{"info":"compute unary expreesion, input=23612, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-70836","layer":2},{"info":"compute unary expreesion, input=-70836, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨭⩧⫛(⊑(⊄⩳↩⫏≰1210002≁↽≥⫏≰2010112))=NaN","reverse_text":"NaN=⨭⩧⫛(⊑(⊄⩳↩⫏≰1210002≁↽≥⫏≰2010112))","cot":[{"info":"⫏≰1210002≁↽≥⫏≰2010112=⫏≰1012101112","layer":3},{"info":"⊄⩳↩⫏≰1012101112=⫏≰-10121011120","layer":2},{"info":"⊑⫏≰-10121011120=⫏≰21010","layer":1},{"info":"⨭⩧⫛⫏≰21010=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"((⋠∜$5117$)⩹$1485$⪶≀⋏$1611$)⋓($1718$⇄$8401$⫦⪉$5455$≨$1503$)⪉⨛(($1142$⊊)⪢($1785$⋭≵$3729$))⊕∕(($4254$⋾⨃∁$4572$)⫩)","expression":"((⋠∜⫏≰21000112)⩹⫏≰2001000⪶≀⋏⫏≰2012200)⋓(⫏≰2100122⇄⫏≰102112011⫦⪉⫏≰21111001≨⫏≰2001200)⪉⨛((⫏≰1120022⊊)⪢(⫏≰2110010⋭≵⫏≰12010010))⊕∕((⫏≰12211120⋾⨃∁⫏≰20021100)⫩)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":83886,"operation_count":14,"complexity_ratio":5991.857142857143,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":5117,"base":3}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1485,"base":3},"right_expr":{"type":"numeric_atoms","value":1611,"base":3}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1718,"base":3},"right_expr":{"type":"numeric_atoms","value":8401,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5455,"base":3},"right_expr":{"type":"numeric_atoms","value":1503,"base":3}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1142,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1785,"base":3},"right_expr":{"type":"numeric_atoms","value":3729,"base":3}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4254,"base":3},"right_expr":{"type":"numeric_atoms","value":4572,"base":3}}}}},"used_operators":["EWw2JM7wp4","T2fj7uvVaJ","2Wsdkap16l","ZJpFhNJr3x","zR4jO40bMj","wscyQdcy20","3EYGwJThht","0KMCeP1Jsh","9cloC0Ngie","dWAJyo7jo9","W9R8I5fN5A","jBncVCNhdl","6aG7x05OhS","212REbPD9h"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","k8jYdgA6NY","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5117","layer":4},{"info":"compute unary expreesion, input=5117, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=22752","layer":3},{"info":"number node, value=1485","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1611, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7909","layer":3},{"info":"compute binary expreesion, left_input=22752, right_input=-7909, 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=-7911","layer":2},{"info":"number node, value=1718","layer":4},{"info":"number node, value=8401","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=8401, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=5455","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=5455, right_input=1503, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-52074","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-52074, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":2},{"info":"compute binary expreesion, left_input=-7911, right_input=4900, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, 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":3},{"info":"number node, value=1785","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=3729, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=67, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4254","layer":4},{"info":"number node, value=4572","layer":4},{"info":"compute binary expreesion, left_input=4254, right_input=4572, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=208976882","layer":3},{"info":"compute unary expreesion, input=208976882, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⋠∜⫏≰21000112)⩹⫏≰2001000⪶≀⋏⫏≰2012200)⋓(⫏≰2100122⇄⫏≰102112011⫦⪉⫏≰21111001≨⫏≰2001200)⪉⨛((⫏≰1120022⊊)⪢(⫏≰2110010⋭≵⫏≰12010010))⊕∕((⫏≰12211120⋾⨃∁⫏≰20021100)⫩)=NaN","reverse_text":"NaN=((⋠∜⫏≰21000112)⩹⫏≰2001000⪶≀⋏⫏≰2012200)⋓(⫏≰2100122⇄⫏≰102112011⫦⪉⫏≰21111001≨⫏≰2001200)⪉⨛((⫏≰1120022⊊)⪢(⫏≰2110010⋭≵⫏≰12010010))⊕∕((⫏≰12211120⋾⨃∁⫏≰20021100)⫩)","cot":[{"info":"⋠∜⫏≰21000112=⫏≰1011012200","layer":3},{"info":"⫏≰2001000⪶≀⋏⫏≰2012200=⫏≰-101211221","layer":3},{"info":"⫏≰1011012200⩹⫏≰-101211221=⫏≰-101212000","layer":2},{"info":"⫏≰2100122⇄⫏≰102112011=⫏≰0","layer":3},{"info":"⫏≰21111001≨⫏≰2001200=⫏≰-2122102200","layer":3},{"info":"⫏≰0⫦⪉⫏≰-2122102200=⫏≰20201111","layer":2},{"info":"⫏≰-101212000⋓⫏≰20201111=⫏≰0","layer":1},{"info":"⫏≰1120022⊊=⫏≰11121201200","layer":3},{"info":"⫏≰2110010⋭≵⫏≰12010010=⫏≰2111","layer":3},{"info":"⫏≰11121201200⪢⫏≰2111=NaN","layer":2},{"info":"⫏≰12211120⋾⨃∁⫏≰20021100=⫏≰112120020010101112","layer":3},{"info":"⫏≰112120020010101112⫩=NaN","layer":2},{"info":"NaN⊕∕NaN=NaN","layer":1},{"info":"⫏≰0⪉⨛NaN=NaN","layer":0}]}
{"id":354,"expression_no_base_symbol":"≉(⪛⨧$6282$⫣⪄⊒$6460$)≓∲($1797$↬⩅∪)⨭⪣($8956$⨎$3328$)","expression":"≉(⪛⨧⫏≰22121200⫣⪄⊒⫏≰22212021)≓∲(⫏≰2110120↬⩅∪)⨭⪣(⫏≰110021201⨎⫏≰11120021)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1884,"operation_count":7,"complexity_ratio":269.14285714285717,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6282,"base":3},"right_expr":{"type":"numeric_atoms","value":6460,"base":3}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1797,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8956,"base":3},"right_expr":{"type":"numeric_atoms","value":3328,"base":3}}}}},"used_operators":["e1ybzncUwg","s1XTVnmDOJ","6NJAcO2OWT","RabNbG55vr","kn8WO9XteQ","VJ330n2nnx","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫏≰211011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6282","layer":4},{"info":"number node, value=6460","layer":4},{"info":"compute binary expreesion, left_input=6282, right_input=6460, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-26708","layer":3},{"info":"compute unary expreesion, input=-26708, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-52015","layer":2},{"info":"number node, value=1797","layer":4},{"info":"compute unary expreesion, input=1797, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-5391","layer":3},{"info":"number node, value=8956","layer":4},{"info":"number node, value=3328","layer":4},{"info":"compute binary expreesion, left_input=8956, right_input=3328, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3328","layer":3},{"info":"compute binary expreesion, left_input=-5391, right_input=3328, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4596","layer":2},{"info":"compute binary expreesion, left_input=-52015, right_input=4596, 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":1},{"info":"compute unary expreesion, input=67, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=598","layer":0}],"base":3,"result_base":3,"text":"≉(⪛⨧⫏≰22121200⫣⪄⊒⫏≰22212021)≓∲(⫏≰2110120↬⩅∪)⨭⪣(⫏≰110021201⨎⫏≰11120021)=⫏≰211011","reverse_text":"⫏≰211011=≉(⪛⨧⫏≰22121200⫣⪄⊒⫏≰22212021)≓∲(⫏≰2110120↬⩅∪)⨭⪣(⫏≰110021201⨎⫏≰11120021)","cot":[{"info":"⫏≰22121200⫣⪄⊒⫏≰22212021=⫏≰-1100122012","layer":3},{"info":"⪛⨧⫏≰-1100122012=⫏≰-2122100111","layer":2},{"info":"⫏≰2110120↬⩅∪=⫏≰-21101200","layer":3},{"info":"⫏≰110021201⨎⫏≰11120021=⫏≰11120021","layer":3},{"info":"⫏≰-21101200⨭⪣⫏≰11120021=⫏≰20022020","layer":2},{"info":"⫏≰-2122100111≓∲⫏≰20022020=⫏≰2111","layer":1},{"info":"≉⫏≰2111=⫏≰211011","layer":0}]}
{"id":355,"expression_no_base_symbol":"⩷⨜⫀((($3703$∙⊟$1037$)⪍↜⋙($1903$⊉≛↸$1100$))⪛($3754$⫯⪬∳$1042$)⋕⪉⪜(≘$7855$))","expression":"⩷⨜⫀(((⫏≰12002011∙⊟⫏≰1102102)⪍↜⋙(⫏≰2121111⊉≛↸⫏≰1111202))⪛(⫏≰12011001⫯⪬∳⫏≰1102121)⋕⪉⪜(≘⫏≰101202221))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4574,"operation_count":8,"complexity_ratio":571.75,"tree":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3703,"base":3},"right_expr":{"type":"numeric_atoms","value":1037,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1903,"base":3},"right_expr":{"type":"numeric_atoms","value":1100,"base":3}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3754,"base":3},"right_expr":{"type":"numeric_atoms","value":1042,"base":3}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":7855,"base":3}}}}},"used_operators":["CDi0ktkjQ4","uFcxV4UQCh","L05ObWFQCd","SxTAKzQCrw","DZ8iAZOCBD","z6LnFrNh4i","d7ASUq0ydm","tcjXMdvYtA"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"⫏≰22212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3703","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=3703, right_input=1037, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=57985","layer":3},{"info":"number node, value=1903","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=1100, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3806","layer":3},{"info":"compute binary expreesion, left_input=57985, right_input=3806, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=108358","layer":2},{"info":"number node, value=3754","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=3754, right_input=1042, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=17761","layer":3},{"info":"number node, value=7855","layer":4},{"info":"compute unary expreesion, input=7855, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=17321059","layer":3},{"info":"compute binary expreesion, left_input=17761, right_input=17321059, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=108358, right_input=204, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=34","layer":1},{"info":"compute unary expreesion, input=34, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=239","layer":0}],"base":3,"result_base":3,"text":"⩷⨜⫀(((⫏≰12002011∙⊟⫏≰1102102)⪍↜⋙(⫏≰2121111⊉≛↸⫏≰1111202))⪛(⫏≰12011001⫯⪬∳⫏≰1102121)⋕⪉⪜(≘⫏≰101202221))=⫏≰22212","reverse_text":"⫏≰22212=⩷⨜⫀(((⫏≰12002011∙⊟⫏≰1102102)⪍↜⋙(⫏≰2121111⊉≛↸⫏≰1111202))⪛(⫏≰12011001⫯⪬∳⫏≰1102121)⋕⪉⪜(≘⫏≰101202221))","cot":[{"info":"⫏≰12002011∙⊟⫏≰1102102=⫏≰2221112121","layer":3},{"info":"⫏≰2121111⊉≛↸⫏≰1111202=⫏≰12012222","layer":3},{"info":"⫏≰2221112121⪍↜⋙⫏≰12012222=⫏≰12111122021","layer":2},{"info":"⫏≰12011001⫯⪬∳⫏≰1102121=⫏≰220100211","layer":3},{"info":"≘⫏≰101202221=⫏≰1012121000000201","layer":3},{"info":"⫏≰220100211⋕⪉⪜⫏≰1012121000000201=⫏≰21120","layer":2},{"info":"⫏≰12111122021⪛⫏≰21120=⫏≰1021","layer":1},{"info":"⩷⨜⫀⫏≰1021=⫏≰22212","layer":0}]}
{"id":356,"expression_no_base_symbol":"∂(⪭⩑⪱($2331$↯⫤))⊔$1721$∥⊢⊲$3238$⇍⊗(≅≯⇸$2466$)","expression":"∂(⪭⩑⪱(⫏≰10012100↯⫤))⊔⫏≰2100202∥⊢⊲⫏≰11102221⇍⊗(≅≯⇸⫏≰10101100)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":920,"operation_count":7,"complexity_ratio":131.42857142857142,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":2331,"base":3}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1721,"base":3},"right_expr":{"type":"numeric_atoms","value":3238,"base":3}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2466,"base":3}}}}},"used_operators":["Uaa54Peajs","E4l6HwMY31","SIgE0bArFf","VwlE7vj6HS","5uvYHDjeKN","v1UQAVDJRr","apS25hmuAe"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","EBcxylXtPf","rGHVDoGpnC","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2331","layer":4},{"info":"compute unary expreesion, input=2331, 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":3},{"info":"compute unary expreesion, input=0, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=1721","layer":4},{"info":"number node, value=3238","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=3238, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=2466","layer":4},{"info":"compute unary expreesion, input=2466, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=17541","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17541, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=-244, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=16641469","layer":1},{"info":"compute unary expreesion, input=16641469, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∂(⪭⩑⪱(⫏≰10012100↯⫤))⊔⫏≰2100202∥⊢⊲⫏≰11102221⇍⊗(≅≯⇸⫏≰10101100)=NaN","reverse_text":"NaN=∂(⪭⩑⪱(⫏≰10012100↯⫤))⊔⫏≰2100202∥⊢⊲⫏≰11102221⇍⊗(≅≯⇸⫏≰10101100)","cot":[{"info":"⫏≰10012100↯⫤=⫏≰0","layer":3},{"info":"⪭⩑⪱⫏≰0=⫏≰120122201221000","layer":2},{"info":"⫏≰2100202∥⊢⊲⫏≰11102221=NaN","layer":3},{"info":"≅≯⇸⫏≰10101100=⫏≰220001200","layer":3},{"info":"NaN⇍⊗⫏≰220001200=⫏≰-100001","layer":2},{"info":"⫏≰120122201221000⊔⫏≰-100001=⫏≰1011022110210201","layer":1},{"info":"∂⫏≰1011022110210201=NaN","layer":0}]}
{"id":357,"expression_no_base_symbol":"(⨵≀≌(≸≮$1108$⇂≾⫗$2170$))⫦⪉($2652$⪥$1839$∠⫱$3861$⊲⩕⊾$1625$⊭↱$2670$⫣⪄⊒$1175$⨭⪣($5565$⪛⫼$1413$))","expression":"(⨵≀≌(≸≮⫏≰1112001⇂≾⫗⫏≰2222101))⫦⪉(⫏≰10122020⪥⫏≰2112010∠⫱⫏≰12022000⊲⩕⊾⫏≰2020012⊭↱⫏≰10122220⫣⪄⊒⫏≰1121112⨭⪣(⫏≰21122010⪛⫼⫏≰1221100))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":420,"operation_count":11,"complexity_ratio":38.18181818181818,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1108,"base":3},"right_expr":{"type":"numeric_atoms","value":2170,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2652,"base":3},"right_expr":{"type":"numeric_atoms","value":1839,"base":3}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3861,"base":3},"right_expr":{"type":"numeric_atoms","value":1625,"base":3}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2670,"base":3},"right_expr":{"type":"numeric_atoms","value":1175,"base":3}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5565,"base":3},"right_expr":{"type":"numeric_atoms","value":1413,"base":3}}}}},"used_operators":["wscyQdcy20","srAu1WTS94","AljMvE3RRm","aBQ6xLxuTc","COABgblf1C","QvoQhV0rrE","QbnwKVWMIQ","DmTXOeWf9t","kn8WO9XteQ","RabNbG55vr","hyuBjUqXlG"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⫏≰10112011111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=2170, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=10923","layer":2},{"info":"compute unary expreesion, input=10923, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-32769","layer":1},{"info":"number node, value=2652","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=1839, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15260","layer":3},{"info":"number node, value=3861","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=1625, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-74656","layer":3},{"info":"compute binary expreesion, left_input=15260, right_input=-74656, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=89916","layer":2},{"info":"number node, value=2670","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=1175, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-2222","layer":3},{"info":"number node, value=5565","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=5565, right_input=1413, 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":3},{"info":"compute binary expreesion, left_input=-2222, right_input=968, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1427","layer":2},{"info":"compute binary expreesion, left_input=89916, right_input=1427, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-176973","layer":1},{"info":"compute binary expreesion, left_input=-32769, right_input=-176973, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=69376","layer":0}],"base":3,"result_base":3,"text":"(⨵≀≌(≸≮⫏≰1112001⇂≾⫗⫏≰2222101))⫦⪉(⫏≰10122020⪥⫏≰2112010∠⫱⫏≰12022000⊲⩕⊾⫏≰2020012⊭↱⫏≰10122220⫣⪄⊒⫏≰1121112⨭⪣(⫏≰21122010⪛⫼⫏≰1221100))=⫏≰10112011111","reverse_text":"⫏≰10112011111=(⨵≀≌(≸≮⫏≰1112001⇂≾⫗⫏≰2222101))⫦⪉(⫏≰10122020⪥⫏≰2112010∠⫱⫏≰12022000⊲⩕⊾⫏≰2020012⊭↱⫏≰10122220⫣⪄⊒⫏≰1121112⨭⪣(⫏≰21122010⪛⫼⫏≰1221100))","cot":[{"info":"⫏≰1112001⇂≾⫗⫏≰2222101=⫏≰-221001","layer":3},{"info":"≸≮⫏≰-221001=⫏≰112222120","layer":2},{"info":"⨵≀≌⫏≰112222120=⫏≰-1122221200","layer":1},{"info":"⫏≰10122020⪥⫏≰2112010=⫏≰202221012","layer":3},{"info":"⫏≰12022000⊲⩕⊾⫏≰2020012=⫏≰-10210102001","layer":3},{"info":"⫏≰202221012∠⫱⫏≰-10210102001=⫏≰11120100020","layer":2},{"info":"⫏≰10122220⫣⪄⊒⫏≰1121112=⫏≰-10001022","layer":3},{"info":"⫏≰21122010⪛⫼⫏≰1221100=⫏≰1022212","layer":3},{"info":"⫏≰-10001022⨭⪣⫏≰1022212=⫏≰1221212","layer":2},{"info":"⫏≰11120100020⊭↱⫏≰1221212=⫏≰-22222202120","layer":1},{"info":"⫏≰-1122221200⫦⪉⫏≰-22222202120=⫏≰10112011111","layer":0}]}
{"id":358,"expression_no_base_symbol":"(⋼∭⪍($1700$⇤$8989$∌↝$1197$⪔⊥$4712$))⊎←↗","expression":"(⋼∭⪍(⫏≰2022222⇤⫏≰110022221∌↝⫏≰1122100⪔⊥⫏≰20110112))⊎←↗","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":74,"operation_count":5,"complexity_ratio":14.8,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1700,"base":3},"right_expr":{"type":"numeric_atoms","value":8989,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1197,"base":3},"right_expr":{"type":"numeric_atoms","value":4712,"base":3}}}}},"used_operators":["dwb5p0fa6d","DbCuESL50I","9Isq31Ruls","YSKBFp38Pu","HJ9erzHUuu"],"dependent_operators":["sdazOOVcIp","COABgblf1C","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⫏≰1010212112101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1700","layer":4},{"info":"number node, value=8989","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=8989, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-50597","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=4712","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=4712, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-4835","layer":3},{"info":"compute binary expreesion, left_input=-50597, right_input=-4835, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-50597","layer":2},{"info":"compute unary expreesion, input=-50597, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-303480","layer":1},{"info":"compute unary expreesion, input=-303480, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=607645","layer":0}],"base":3,"result_base":3,"text":"(⋼∭⪍(⫏≰2022222⇤⫏≰110022221∌↝⫏≰1122100⪔⊥⫏≰20110112))⊎←↗=⫏≰1010212112101","reverse_text":"⫏≰1010212112101=(⋼∭⪍(⫏≰2022222⇤⫏≰110022221∌↝⫏≰1122100⪔⊥⫏≰20110112))⊎←↗","cot":[{"info":"⫏≰2022222⇤⫏≰110022221=⫏≰-2120101222","layer":3},{"info":"⫏≰1122100⪔⊥⫏≰20110112=⫏≰-20122002","layer":3},{"info":"⫏≰-2120101222∌↝⫏≰-20122002=⫏≰-2120101222","layer":2},{"info":"⋼∭⪍⫏≰-2120101222=⫏≰-120102022000","layer":1},{"info":"⫏≰-120102022000⊎←↗=⫏≰1010212112101","layer":0}]}
{"id":359,"expression_no_base_symbol":"∑⇻≧($1973$⨼⩣$1417$⩚⊴⇥$2779$⊋$3870$)⪡(↘($3062$⩺⪪$1015$))","expression":"∑⇻≧(⫏≰2201002⨼⩣⫏≰1221111⩚⊴⇥⫏≰10210221⊋⫏≰12022100)⪡(↘(⫏≰11012102⩺⪪⫏≰1101121))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2730,"operation_count":7,"complexity_ratio":390.0,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1973,"base":3},"right_expr":{"type":"numeric_atoms","value":1417,"base":3}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2779,"base":3},"right_expr":{"type":"numeric_atoms","value":3870,"base":3}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3062,"base":3},"right_expr":{"type":"numeric_atoms","value":1015,"base":3}}}}},"used_operators":["l1M9WJ3V7u","oraRL2iQuh","NTOWxs364D","JxwMv5le6e","W4tP9CfskL","LdNpr8hQHL","uvdQJvN4PV"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","uFcxV4UQCh","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⫏≰-1011120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1973","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=1417, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2779","layer":4},{"info":"number node, value=3870","layer":4},{"info":"compute binary expreesion, left_input=2779, right_input=3870, 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=-31892432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-31892432, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=3062","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=1015, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-33650","layer":3},{"info":"compute unary expreesion, input=-33650, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=62","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=62, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":3,"result_base":3,"text":"∑⇻≧(⫏≰2201002⨼⩣⫏≰1221111⩚⊴⇥⫏≰10210221⊋⫏≰12022100)⪡(↘(⫏≰11012102⩺⪪⫏≰1101121))=⫏≰-1011120","reverse_text":"⫏≰-1011120=∑⇻≧(⫏≰2201002⨼⩣⫏≰1221111⩚⊴⇥⫏≰10210221⊋⫏≰12022100)⪡(↘(⫏≰11012102⩺⪪⫏≰1101121))","cot":[{"info":"⫏≰2201002⨼⩣⫏≰1221111=NaN","layer":3},{"info":"⫏≰10210221⊋⫏≰12022100=⫏≰-2020000022012012","layer":3},{"info":"NaN⩚⊴⇥⫏≰-2020000022012012=NaN","layer":2},{"info":"⫏≰11012102⩺⪪⫏≰1101121=⫏≰-1201011022","layer":3},{"info":"↘⫏≰-1201011022=⫏≰2022","layer":2},{"info":"NaN⪡⫏≰2022=NaN","layer":1},{"info":"∑⇻≧NaN=⫏≰-1011120","layer":0}]}
{"id":360,"expression_no_base_symbol":"((⫓⪴$1260$)⊉≛↸$2125$∴$2243$)⪇≇⋚($4012$⩹$1035$)⩧⪆($4494$∙⊟$2444$)⋖∅⋲","expression":"((⫓⪴⫏≰1201200)⊉≛↸⫏≰2220201∴⫏≰10002002)⪇≇⋚(⫏≰12111121⩹⫏≰1102100)⩧⪆(⫏≰20011110∙⊟⫏≰10100112)⋖∅⋲","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5881,"operation_count":8,"complexity_ratio":735.125,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1260,"base":3}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2125,"base":3},"right_expr":{"type":"numeric_atoms","value":2243,"base":3}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4012,"base":3},"right_expr":{"type":"numeric_atoms","value":1035,"base":3}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4494,"base":3},"right_expr":{"type":"numeric_atoms","value":2444,"base":3}}}}},"used_operators":["L95AwlJzhO","3sJ7IOPOlU","DZ8iAZOCBD","eLxqMNBOBk","hrf7POJlIJ","Ikt5ks8PT7","2Wsdkap16l","SxTAKzQCrw"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1587600","layer":3},{"info":"number node, value=2125","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=2243, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5898","layer":3},{"info":"compute binary expreesion, left_input=1587600, right_input=5898, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3175200","layer":2},{"info":"number node, value=4012","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=4012, right_input=1035, 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=1033","layer":3},{"info":"number node, value=4494","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=4494, right_input=2444, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=68268","layer":3},{"info":"compute binary expreesion, left_input=1033, right_input=68268, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-68268","layer":2},{"info":"compute binary expreesion, left_input=3175200, right_input=-68268, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫓⪴⫏≰1201200)⊉≛↸⫏≰2220201∴⫏≰10002002)⪇≇⋚(⫏≰12111121⩹⫏≰1102100)⩧⪆(⫏≰20011110∙⊟⫏≰10100112)⋖∅⋲=⫏≰0","reverse_text":"⫏≰0=((⫓⪴⫏≰1201200)⊉≛↸⫏≰2220201∴⫏≰10002002)⪇≇⋚(⫏≰12111121⩹⫏≰1102100)⩧⪆(⫏≰20011110∙⊟⫏≰10100112)⋖∅⋲","cot":[{"info":"⫓⪴⫏≰1201200=⫏≰2222122210000","layer":3},{"info":"⫏≰2220201∴⫏≰10002002=⫏≰22002110","layer":3},{"info":"⫏≰2222122210000⊉≛↸⫏≰22002110=⫏≰12222022120000","layer":2},{"info":"⫏≰12111121⩹⫏≰1102100=⫏≰1102021","layer":3},{"info":"⫏≰20011110∙⊟⫏≰10100112=⫏≰10110122110","layer":3},{"info":"⫏≰1102021⩧⪆⫏≰10110122110=⫏≰-10110122110","layer":2},{"info":"⫏≰12222022120000⪇≇⋚⫏≰-10110122110=⫏≰0","layer":1},{"info":"⫏≰0⋖∅⋲=⫏≰0","layer":0}]}
{"id":361,"expression_no_base_symbol":"⊥($4224$⩍⋽⫝̸$2397$↫)→⨶⪴($8202$⇤$3523$)↤⩊($3507$⪟⇏$2996$)","expression":"⊥(⫏≰12210110⩍⋽⫝̸⫏≰10021210↫)→⨶⪴(⫏≰102020210⇤⫏≰11211111)↤⩊(⫏≰11210220⪟⇏⫏≰11002222)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":227,"operation_count":7,"complexity_ratio":32.42857142857143,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4224,"base":3},"right_expr":{"type":"numeric_atoms","value":2397,"base":3}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":8202,"base":3},"right_expr":{"type":"numeric_atoms","value":3523,"base":3}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3507,"base":3},"right_expr":{"type":"numeric_atoms","value":2996,"base":3}}}}},"used_operators":["Q3PJZHRvZv","bF6eod5Gvf","uPb5QRN0te","BiWNJpBvwn","13rbtpv6ld","YSKBFp38Pu","GODebY97qR"],"dependent_operators":["fu6greOZ01","8w2t5hMYqp","9FxExcQeMw","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4224","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=2397, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1451","layer":3},{"info":"compute unary expreesion, input=1451, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"number node, value=8202","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=8202, right_input=3523, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-55777","layer":3},{"info":"number node, value=3507","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=2996, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-55777, right_input=-1, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊥(⫏≰12210110⩍⋽⫝̸⫏≰10021210↫)→⨶⪴(⫏≰102020210⇤⫏≰11211111)↤⩊(⫏≰11210220⪟⇏⫏≰11002222)=NaN","reverse_text":"NaN=⊥(⫏≰12210110⩍⋽⫝̸⫏≰10021210↫)→⨶⪴(⫏≰102020210⇤⫏≰11211111)↤⩊(⫏≰11210220⪟⇏⫏≰11002222)","cot":[{"info":"⫏≰12210110⩍⋽⫝̸⫏≰10021210=⫏≰1222202","layer":3},{"info":"⫏≰1222202↫=⫏≰12221","layer":2},{"info":"⫏≰102020210⇤⫏≰11211111=⫏≰-2211111211","layer":3},{"info":"⫏≰11210220⪟⇏⫏≰11002222=⫏≰-1","layer":3},{"info":"⫏≰-2211111211↤⩊⫏≰-1=NaN","layer":2},{"info":"⫏≰12221→⨶⪴NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":362,"expression_no_base_symbol":"(⇋↷($3077$⫚⫇))≁(⊖∈$2773$)⪝($2384$⩱)⋣⋖(($2518$⇮⋭$1662$-$1377$+⪬∐$1616$)∩⋅)","expression":"(⇋↷(⫏≰11012222⫚⫇))≁(⊖∈⫏≰10210201)⪝(⫏≰10021022⩱)⋣⋖((⫏≰10110021⇮⋭⫏≰2021120-⫏≰1220000+⪬∐⫏≰2012212)∩⋅)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4923,"operation_count":11,"complexity_ratio":447.54545454545456,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":3077,"base":3}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2773,"base":3}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":2384,"base":3}}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2518,"base":3},"right_expr":{"type":"numeric_atoms","value":1662,"base":3}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1377,"base":3},"right_expr":{"type":"numeric_atoms","value":1616,"base":3}}}}},"used_operators":["J0M6qkBnIM","8N2wDY1A35","SWo3A1KBJH","SdCjLnB6rR","wicAB68Tmb","YFxL8Sc2Zy","uyq1hVkAcj","2MzE1hQ0cz","rysDP5nf3Z","vkpjKywKVM","2GS7woTJqF"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","Qy55tPpLXF","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","g55IO6H4Gj","D4vGDi5EA2"],"result":"⫏≰-201112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3077","layer":4},{"info":"compute unary expreesion, input=3077, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=4686","layer":3},{"info":"compute unary expreesion, input=4686, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=37488","layer":2},{"info":"number node, value=2773","layer":4},{"info":"compute unary expreesion, input=2773, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=49866","layer":3},{"info":"number node, value=2384","layer":4},{"info":"compute unary expreesion, input=2384, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-14554","layer":3},{"info":"compute binary expreesion, left_input=49866, right_input=-14554, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-258079","layer":2},{"info":"compute binary expreesion, left_input=37488, right_input=-258079, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-7236701","layer":1},{"info":"number node, value=2518","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=1662, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1616, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4131","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-4131, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3658","layer":2},{"info":"compute unary expreesion, input=3658, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-3537","layer":1},{"info":"compute binary expreesion, left_input=-7236701, right_input=-3537, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":0}],"base":3,"result_base":3,"text":"(⇋↷(⫏≰11012222⫚⫇))≁(⊖∈⫏≰10210201)⪝(⫏≰10021022⩱)⋣⋖((⫏≰10110021⇮⋭⫏≰2021120-⫏≰1220000+⪬∐⫏≰2012212)∩⋅)=⫏≰-201112","reverse_text":"⫏≰-201112=(⇋↷(⫏≰11012222⫚⫇))≁(⊖∈⫏≰10210201)⪝(⫏≰10021022⩱)⋣⋖((⫏≰10110021⇮⋭⫏≰2021120-⫏≰1220000+⪬∐⫏≰2012212)∩⋅)","cot":[{"info":"⫏≰11012222⫚⫇=⫏≰20102120","layer":3},{"info":"⇋↷⫏≰20102120=⫏≰1220102110","layer":2},{"info":"⊖∈⫏≰10210201=⫏≰2112101220","layer":3},{"info":"⫏≰10021022⩱=⫏≰-201222001","layer":3},{"info":"⫏≰2112101220⪝⫏≰-201222001=⫏≰-111010000111","layer":2},{"info":"⫏≰1220102110≁⫏≰-111010000111=⫏≰-111121122212222","layer":1},{"info":"⫏≰10110021⇮⋭⫏≰2021120=⫏≰-122112","layer":3},{"info":"⫏≰1220000+⪬∐⫏≰2012212=⫏≰-12200000","layer":3},{"info":"⫏≰-122112-⫏≰-12200000=⫏≰12000111","layer":2},{"info":"⫏≰12000111∩⋅=⫏≰-11212000","layer":1},{"info":"⫏≰-111121122212222⋣⋖⫏≰-11212000=⫏≰-201112","layer":0}]}
{"id":363,"expression_no_base_symbol":"(($7501$⋭≵$1187$)+⪬∐($2679$≃$5818$)⋛(($3375$⪕$2543$)⇷$1286$⩇∃⫛$1684$))∘(($3777$⪔⊥$4503$⫥∨⫟$1068$⋣⋖$5095$)⫽⇹≛)","expression":"((⫏≰101021211⋭≵⫏≰1121222)+⪬∐(⫏≰10200020≃⫏≰21222111)⋛((⫏≰11122000⪕⫏≰10111012)⇷⫏≰1202122⩇∃⫛⫏≰2022101))∘((⫏≰12011220⪔⊥⫏≰20011210⫥∨⫟⫏≰1110120⋣⋖⫏≰20222201)⫽⇹≛)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":72128,"operation_count":12,"complexity_ratio":6010.666666666667,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":7501,"base":3},"right_expr":{"type":"numeric_atoms","value":1187,"base":3}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2679,"base":3},"right_expr":{"type":"numeric_atoms","value":5818,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3375,"base":3},"right_expr":{"type":"numeric_atoms","value":2543,"base":3}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1286,"base":3},"right_expr":{"type":"numeric_atoms","value":1684,"base":3}}}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3777,"base":3},"right_expr":{"type":"numeric_atoms","value":4503,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1068,"base":3},"right_expr":{"type":"numeric_atoms","value":5095,"base":3}}}}},"used_operators":["Z5m6OM72h2","YbUVn0Rbpy","2GS7woTJqF","jBncVCNhdl","YbVcJGFEVW","mp7IySMOzn","umQnsF7QlU","1aApVXNlOP","NNaDxxp6OQ","KYD54nUTWz","HJ9erzHUuu","J0M6qkBnIM"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","g55IO6H4Gj","D4vGDi5EA2","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫏≰-110200021120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7501","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=7501, right_input=1187, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=5818","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=5818, 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=-10756","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-10756, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-201","layer":2},{"info":"number node, value=3375","layer":4},{"info":"number node, value=2543","layer":4},{"info":"compute binary expreesion, left_input=3375, right_input=2543, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=5108","layer":3},{"info":"number node, value=1286","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=1684, 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=871","layer":3},{"info":"compute binary expreesion, left_input=5108, right_input=871, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1742","layer":2},{"info":"compute binary expreesion, left_input=-201, right_input=1742, 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=-124761","layer":1},{"info":"number node, value=3777","layer":4},{"info":"number node, value=4503","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=4503, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=5903","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=5095","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=5095, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1068","layer":3},{"info":"compute binary expreesion, left_input=5903, right_input=1068, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-124761, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-249522","layer":0}],"base":3,"result_base":3,"text":"((⫏≰101021211⋭≵⫏≰1121222)+⪬∐(⫏≰10200020≃⫏≰21222111)⋛((⫏≰11122000⪕⫏≰10111012)⇷⫏≰1202122⩇∃⫛⫏≰2022101))∘((⫏≰12011220⪔⊥⫏≰20011210⫥∨⫟⫏≰1110120⋣⋖⫏≰20222201)⫽⇹≛)=⫏≰-110200021120","reverse_text":"⫏≰-110200021120=((⫏≰101021211⋭≵⫏≰1121222)+⪬∐(⫏≰10200020≃⫏≰21222111)⋛((⫏≰11122000⪕⫏≰10111012)⇷⫏≰1202122⩇∃⫛⫏≰2022101))∘((⫏≰12011220⪔⊥⫏≰20011210⫥∨⫟⫏≰1110120⋣⋖⫏≰20222201)⫽⇹≛)","cot":[{"info":"⫏≰101021211⋭≵⫏≰1121222=⫏≰2111","layer":3},{"info":"⫏≰10200020≃⫏≰21222111=⫏≰-112202101","layer":3},{"info":"⫏≰2111+⪬∐⫏≰-112202101=⫏≰-21110","layer":2},{"info":"⫏≰11122000⪕⫏≰10111012=⫏≰21000012","layer":3},{"info":"⫏≰1202122⩇∃⫛⫏≰2022101=⫏≰1012021","layer":3},{"info":"⫏≰21000012⇷⫏≰1012021=⫏≰2101112","layer":2},{"info":"⫏≰-21110⋛⫏≰2101112=⫏≰-20100010210","layer":1},{"info":"⫏≰12011220⪔⊥⫏≰20011210=⫏≰22002122","layer":3},{"info":"⫏≰1110120⋣⋖⫏≰20222201=⫏≰1110120","layer":3},{"info":"⫏≰22002122⫥∨⫟⫏≰1110120=NaN","layer":2},{"info":"NaN⫽⇹≛=NaN","layer":1},{"info":"⫏≰-20100010210∘NaN=⫏≰-110200021120","layer":0}]}
{"id":364,"expression_no_base_symbol":"(($1627$≦↸$1814$)⇻⋧≁($2534$↺$4896$)⫒⫫(⇨$1667$⩍⋽⫝̸$1005$))≎⪠((⩏⊷≩$4758$)↹⊜($2348$⪠⩆⊳)⨭⪣(↨⩢⫨$8722$)⩷∴($1285$≬⋮$4489$))","expression":"((⫏≰2020021≦↸⫏≰2111012)⇻⋧≁(⫏≰10110212↺⫏≰20201100)⫒⫫(⇨⫏≰2021202⩍⋽⫝̸⫏≰1101020))≎⪠((⩏⊷≩⫏≰20112020)↹⊜(⫏≰10012222⪠⩆⊳)⨭⪣(↨⩢⫨⫏≰102222001)⩷∴(⫏≰1202121≬⋮⫏≰20011021))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":19496,"operation_count":14,"complexity_ratio":1392.5714285714287,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1627,"base":3},"right_expr":{"type":"numeric_atoms","value":1814,"base":3}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2534,"base":3},"right_expr":{"type":"numeric_atoms","value":4896,"base":3}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1667,"base":3},"right_expr":{"type":"numeric_atoms","value":1005,"base":3}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4758,"base":3}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2348,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":8722,"base":3}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1285,"base":3},"right_expr":{"type":"numeric_atoms","value":4489,"base":3}}}}},"used_operators":["aNhz54LH3e","6Ko8hGgeMq","jCPkEVoL5K","RygbFNSyEJ","7j4O788W3g","G9tJMlZ94a","BiWNJpBvwn","kn8WO9XteQ","9bazX3JMtO","uOZ1tnYMDE","JLbD19bQDL","9FxExcQeMw","Z5CJsN7DuW","kbkesczE7y"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","Ph9nP6C5qx","xUOZtlo3hN","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","23Mk6UjR3U","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⫏≰222211101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1627","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=1814, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6201","layer":3},{"info":"number node, value=2534","layer":4},{"info":"number node, value=4896","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=4896, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4896","layer":3},{"info":"compute binary expreesion, left_input=-6201, right_input=4896, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-59186","layer":2},{"info":"number node, value=1667","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=1005, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=59","layer":3},{"info":"compute unary expreesion, input=59, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-59186, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=295966","layer":1},{"info":"number node, value=4758","layer":4},{"info":"compute unary expreesion, input=4758, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=9215","layer":3},{"info":"number node, value=2348","layer":4},{"info":"compute unary expreesion, input=2348, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9215, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=18334","layer":2},{"info":"number node, value=8722","layer":4},{"info":"compute unary expreesion, input=8722, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=4489","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=4489, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1768","layer":2},{"info":"compute binary expreesion, left_input=18334, right_input=-1768, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=17055","layer":1},{"info":"compute binary expreesion, left_input=295966, right_input=17055, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2020021≦↸⫏≰2111012)⇻⋧≁(⫏≰10110212↺⫏≰20201100)⫒⫫(⇨⫏≰2021202⩍⋽⫝̸⫏≰1101020))≎⪠((⩏⊷≩⫏≰20112020)↹⊜(⫏≰10012222⪠⩆⊳)⨭⪣(↨⩢⫨⫏≰102222001)⩷∴(⫏≰1202121≬⋮⫏≰20011021))=⫏≰222211101","reverse_text":"⫏≰222211101=((⫏≰2020021≦↸⫏≰2111012)⇻⋧≁(⫏≰10110212↺⫏≰20201100)⫒⫫(⇨⫏≰2021202⩍⋽⫝̸⫏≰1101020))≎⪠((⩏⊷≩⫏≰20112020)↹⊜(⫏≰10012222⪠⩆⊳)⨭⪣(↨⩢⫨⫏≰102222001)⩷∴(⫏≰1202121≬⋮⫏≰20011021))","cot":[{"info":"⫏≰2020021≦↸⫏≰2111012=⫏≰-22111200","layer":3},{"info":"⫏≰10110212↺⫏≰20201100=⫏≰20201100","layer":3},{"info":"⫏≰-22111200⇻⋧≁⫏≰20201100=⫏≰-10000012002","layer":2},{"info":"⫏≰2021202⩍⋽⫝̸⫏≰1101020=⫏≰2012","layer":3},{"info":"⇨⫏≰2012=⫏≰0","layer":2},{"info":"⫏≰-10000012002⫒⫫⫏≰0=⫏≰120000222201","layer":1},{"info":"⩏⊷≩⫏≰20112020=⫏≰110122022","layer":3},{"info":"⫏≰10012222⪠⩆⊳=⫏≰0","layer":3},{"info":"⫏≰110122022↹⊜⫏≰0=⫏≰221011001","layer":2},{"info":"↨⩢⫨⫏≰102222001=⫏≰0","layer":3},{"info":"⫏≰1202121≬⋮⫏≰20011021=⫏≰1012011","layer":3},{"info":"⫏≰0⩷∴⫏≰1012011=⫏≰-2102111","layer":2},{"info":"⫏≰221011001⨭⪣⫏≰-2102111=⫏≰212101200","layer":1},{"info":"⫏≰120000222201≎⪠⫏≰212101200=⫏≰222211101","layer":0}]}
{"id":365,"expression_no_base_symbol":"($2793$⪝$2772$⪔(⫇$4747$)*($3280$⪮%⊝$2447$⪃↞⩐))≁((($2057$⨒$3298$)⨒$2020$⋹⋡⊁$2845$)⇤((⋃$2376$)≹⇙⪍$4157$∴$1388$))","expression":"(⫏≰10211110⪝⫏≰10210200⪔(⫇⫏≰20111211)*(⫏≰11111111⪮%⊝⫏≰10100122⪃↞⩐))≁(((⫏≰2211012⨒⫏≰11112011)⨒⫏≰2202211⋹⋡⊁⫏≰10220101)⇤((⋃⫏≰10021000)≹⇙⪍⫏≰12200222∴⫏≰1220102))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":72644,"operation_count":14,"complexity_ratio":5188.857142857143,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2793,"base":3},"right_expr":{"type":"numeric_atoms","value":2772,"base":3}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":4747,"base":3}}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3280,"base":3},"right_expr":{"type":"numeric_atoms","value":2447,"base":3}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2057,"base":3},"right_expr":{"type":"numeric_atoms","value":3298,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2020,"base":3},"right_expr":{"type":"numeric_atoms","value":2845,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2376,"base":3}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4157,"base":3},"right_expr":{"type":"numeric_atoms","value":1388,"base":3}}}}},"used_operators":["8N2wDY1A35","9HNa5Wba9A","GjBEYRfMaF","wicAB68Tmb","YjI8oCXuph","grXIztHqDa","IWmyXbctLI","YSKBFp38Pu","y75s1iXyHd","As8RqfVLgs","AHs5Up7iyr","3mBM5G4a3l","hrf7POJlIJ"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","dWAJyo7jo9","g55IO6H4Gj","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2793","layer":4},{"info":"number node, value=2772","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=2772, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=197","layer":3},{"info":"number node, value=4747","layer":4},{"info":"compute unary expreesion, input=4747, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-8280","layer":3},{"info":"compute binary expreesion, left_input=197, right_input=-8280, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=3280","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=2447, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6876","layer":3},{"info":"compute unary expreesion, input=6876, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=41562","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=41562, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18702900","layer":1},{"info":"number node, value=2057","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=3298, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-11970","layer":3},{"info":"number node, value=2020","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=2845, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3595","layer":3},{"info":"compute binary expreesion, left_input=-11970, right_input=3595, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"number node, value=2376","layer":4},{"info":"compute unary expreesion, input=2376, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=4854","layer":3},{"info":"number node, value=4157","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=4157, right_input=1388, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9962","layer":3},{"info":"compute binary expreesion, left_input=4854, right_input=9962, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18702900, 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":3,"result_base":3,"text":"(⫏≰10211110⪝⫏≰10210200⪔(⫇⫏≰20111211)*(⫏≰11111111⪮%⊝⫏≰10100122⪃↞⩐))≁(((⫏≰2211012⨒⫏≰11112011)⨒⫏≰2202211⋹⋡⊁⫏≰10220101)⇤((⋃⫏≰10021000)≹⇙⪍⫏≰12200222∴⫏≰1220102))=NaN","reverse_text":"NaN=(⫏≰10211110⪝⫏≰10210200⪔(⫇⫏≰20111211)*(⫏≰11111111⪮%⊝⫏≰10100122⪃↞⩐))≁(((⫏≰2211012⨒⫏≰11112011)⨒⫏≰2202211⋹⋡⊁⫏≰10220101)⇤((⋃⫏≰10021000)≹⇙⪍⫏≰12200222∴⫏≰1220102))","cot":[{"info":"⫏≰10211110⪝⫏≰10210200=⫏≰21022","layer":3},{"info":"⫇⫏≰20111211=⫏≰-102100200","layer":3},{"info":"⫏≰21022⪔⫏≰-102100200=⫏≰121200","layer":2},{"info":"⫏≰11111111⪮%⊝⫏≰10100122=⫏≰100102200","layer":3},{"info":"⫏≰100102200⪃↞⩐=⫏≰2010000100","layer":2},{"info":"⫏≰121200*⫏≰2010000100=⫏≰1022012012120000","layer":1},{"info":"⫏≰2211012⨒⫏≰11112011=⫏≰-121102100","layer":3},{"info":"⫏≰2202211⋹⋡⊁⫏≰10220101=⫏≰11221011","layer":3},{"info":"⫏≰-121102100⨒⫏≰11221011=⫏≰1","layer":2},{"info":"⋃⫏≰10021000=⫏≰20122210","layer":3},{"info":"⫏≰12200222∴⫏≰1220102=⫏≰111122222","layer":3},{"info":"⫏≰20122210≹⇙⪍⫏≰111122222=NaN","layer":2},{"info":"⫏≰1⇤NaN=NaN","layer":1},{"info":"⫏≰1022012012120000≁NaN=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"⫯(($1641$∌$7881$⨸⪁$2369$⇍⊗$5142$)↼⊘⨖($6378$⋷$5264$)⊮⊟↴($1030$∐⫣))","expression":"⫯((⫏≰2020210∌⫏≰101210220⨸⪁⫏≰10020202⇍⊗⫏≰21001110)↼⊘⨖(⫏≰22202020⋷⫏≰21012222)⊮⊟↴(⫏≰1102011∐⫣))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":152,"operation_count":8,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1641,"base":3},"right_expr":{"type":"numeric_atoms","value":7881,"base":3}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2369,"base":3},"right_expr":{"type":"numeric_atoms","value":5142,"base":3}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6378,"base":3},"right_expr":{"type":"numeric_atoms","value":5264,"base":3}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1030,"base":3}}}}},"used_operators":["H6BK1Evt7c","bPywburJMS","g55IO6H4Gj","8cLx32lpNA","5uvYHDjeKN","QDVgd2eftb","23Mk6UjR3U","4CyGpkTkEk"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg"],"result":"⫏≰1000001112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1641","layer":4},{"info":"number node, value=7881","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=7881, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-7881","layer":3},{"info":"number node, value=2369","layer":4},{"info":"number node, value=5142","layer":4},{"info":"compute binary expreesion, left_input=2369, right_input=5142, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-7881, right_input=-244, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-16250","layer":2},{"info":"number node, value=6378","layer":4},{"info":"number node, value=5264","layer":4},{"info":"compute binary expreesion, left_input=6378, right_input=5264, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4150","layer":3},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=4150, right_input=551, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-16250, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":1},{"info":"compute unary expreesion, input=-222, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=19724","layer":0}],"base":3,"result_base":3,"text":"⫯((⫏≰2020210∌⫏≰101210220⨸⪁⫏≰10020202⇍⊗⫏≰21001110)↼⊘⨖(⫏≰22202020⋷⫏≰21012222)⊮⊟↴(⫏≰1102011∐⫣))=⫏≰1000001112","reverse_text":"⫏≰1000001112=⫯((⫏≰2020210∌⫏≰101210220⨸⪁⫏≰10020202⇍⊗⫏≰21001110)↼⊘⨖(⫏≰22202020⋷⫏≰21012222)⊮⊟↴(⫏≰1102011∐⫣))","cot":[{"info":"⫏≰2020210∌⫏≰101210220=⫏≰-101210220","layer":3},{"info":"⫏≰10020202⇍⊗⫏≰21001110=⫏≰-100001","layer":3},{"info":"⫏≰-101210220⨸⪁⫏≰-100001=⫏≰-211021212","layer":2},{"info":"⫏≰22202020⋷⫏≰21012222=⫏≰12200201","layer":3},{"info":"⫏≰1102011∐⫣=⫏≰202102","layer":3},{"info":"⫏≰12200201⊮⊟↴⫏≰202102=⫏≰0","layer":2},{"info":"⫏≰-211021212↼⊘⨖⫏≰0=⫏≰-22020","layer":1},{"info":"⫯⫏≰-22020=⫏≰1000001112","layer":0}]}
{"id":367,"expression_no_base_symbol":"(⨴⫝($4285$⩨$2184$))⩒⫫((⊢≑≆$1725$)⨐⩸⫘$2427$∝$1422$)⫚↹⊑(→⩰(($6165$↡⊰⫅$3018$)≑≱⪘))","expression":"(⨴⫝(⫏≰12212201⩨⫏≰2222220))⩒⫫((⊢≑≆⫏≰2100220)⨐⩸⫘⫏≰10022220∝⫏≰1221200)⫚↹⊑(→⩰((⫏≰22110100↡⊰⫅⫏≰11010210)≑≱⪘))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":197934,"operation_count":10,"complexity_ratio":19793.4,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4285,"base":3},"right_expr":{"type":"numeric_atoms","value":2184,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1725,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2427,"base":3},"right_expr":{"type":"numeric_atoms","value":1422,"base":3}}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":6165,"base":3},"right_expr":{"type":"numeric_atoms","value":3018,"base":3}}}}},"used_operators":["dfKe02y8D2","KFSx94NKJn","SVb2v531z1","2DlMacCsIx","fu6greOZ01","27wFxooxGf","cTDWOvIxvz","o8Pngz0Tml","tGSeddj7UK","VCtxkLNOzz"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⫏≰-121120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4285","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=4285, right_input=2184, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"number node, value=1725","layer":4},{"info":"compute unary expreesion, input=1725, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=7352","layer":3},{"info":"number node, value=2427","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=1422, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2432","layer":3},{"info":"compute binary expreesion, left_input=7352, right_input=2432, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2828198, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=6165","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=6165, right_input=3018, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6036","layer":3},{"info":"compute unary expreesion, input=6036, 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=153301","layer":2},{"info":"compute unary expreesion, input=153301, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":3,"result_base":3,"text":"(⨴⫝(⫏≰12212201⩨⫏≰2222220))⩒⫫((⊢≑≆⫏≰2100220)⨐⩸⫘⫏≰10022220∝⫏≰1221200)⫚↹⊑(→⩰((⫏≰22110100↡⊰⫅⫏≰11010210)≑≱⪘))=⫏≰-121120","reverse_text":"⫏≰-121120=(⨴⫝(⫏≰12212201⩨⫏≰2222220))⩒⫫((⊢≑≆⫏≰2100220)⨐⩸⫘⫏≰10022220∝⫏≰1221200)⫚↹⊑(→⩰((⫏≰22110100↡⊰⫅⫏≰11010210)≑≱⪘))","cot":[{"info":"⫏≰12212201⩨⫏≰2222220=⫏≰0","layer":3},{"info":"⨴⫝⫏≰0=⫏≰12022200120002","layer":2},{"info":"⊢≑≆⫏≰2100220=⫏≰101002022","layer":3},{"info":"⫏≰10022220∝⫏≰1221200=⫏≰10100002","layer":3},{"info":"⫏≰101002022⨐⩸⫘⫏≰10100002=NaN","layer":2},{"info":"⫏≰12022200120002⩒⫫NaN=NaN","layer":1},{"info":"⫏≰22110100↡⊰⫅⫏≰11010210=⫏≰22021120","layer":3},{"info":"⫏≰22021120≑≱⪘=⫏≰21210021211","layer":2},{"info":"→⩰⫏≰21210021211=NaN","layer":1},{"info":"NaN⫚↹⊑NaN=⫏≰-121120","layer":0}]}
{"id":368,"expression_no_base_symbol":"($1127$↬$1001$⊾⪯⋞($1120$∽$2983$))⫁($2764$⩁⩘$3960$⨒(⇨$4926$))≀⫉(≇⪴(⇘($1767$⨚$5847$)))","expression":"(⫏≰1112202↬⫏≰1101002⊾⪯⋞(⫏≰1112111∽⫏≰11002111))⫁(⫏≰10210101⩁⩘⫏≰12102200⨒(⇨⫏≰20202110))≀⫉(≇⪴(⇘(⫏≰2102110⨚⫏≰22000120)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38241,"operation_count":11,"complexity_ratio":3476.4545454545455,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1127,"base":3},"right_expr":{"type":"numeric_atoms","value":1001,"base":3}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1120,"base":3},"right_expr":{"type":"numeric_atoms","value":2983,"base":3}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2764,"base":3},"right_expr":{"type":"numeric_atoms","value":3960,"base":3}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4926,"base":3}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1767,"base":3},"right_expr":{"type":"numeric_atoms","value":5847,"base":3}}}}},"used_operators":["oZj3VtZNQx","0ajvFaJAv0","HK0tfVPux8","B5M0gjZbta","y4ImoPnbV5","y75s1iXyHd","gub5Cegaqo","G9tJMlZ94a","zoVPnxeHJ3","MGuIdZPyUC","nREPSIbpBE"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","cHh1gJQ2o6","AHs5Up7iyr","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rGHVDoGpnC","NTOWxs364D","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DpFCA1CohY","IWmyXbctLI","k8jYdgA6NY","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","BjRHVeLaeN","12rbrZMWeM"],"result":"⫏≰10212112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1001, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=2983","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=2983, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14371","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14371, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=2764","layer":4},{"info":"number node, value=3960","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=3960, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=16788","layer":3},{"info":"number node, value=4926","layer":4},{"info":"compute unary expreesion, input=4926, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=16788, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=1767","layer":4},{"info":"number node, value=5847","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=5847, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18920","layer":3},{"info":"compute unary expreesion, input=-18920, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-inf, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1112202↬⫏≰1101002⊾⪯⋞(⫏≰1112111∽⫏≰11002111))⫁(⫏≰10210101⩁⩘⫏≰12102200⨒(⇨⫏≰20202110))≀⫉(≇⪴(⇘(⫏≰2102110⨚⫏≰22000120)))=⫏≰10212112","reverse_text":"⫏≰10212112=(⫏≰1112202↬⫏≰1101002⊾⪯⋞(⫏≰1112111∽⫏≰11002111))⫁(⫏≰10210101⩁⩘⫏≰12102200⨒(⇨⫏≰20202110))≀⫉(≇⪴(⇘(⫏≰2102110⨚⫏≰22000120)))","cot":[{"info":"⫏≰1112202↬⫏≰1101002=NaN","layer":3},{"info":"⫏≰1112111∽⫏≰11002111=⫏≰-201201021","layer":3},{"info":"NaN⊾⪯⋞⫏≰-201201021=NaN","layer":2},{"info":"⫏≰10210101⩁⩘⫏≰12102200=⫏≰212000210","layer":3},{"info":"⇨⫏≰20202110=⫏≰0","layer":3},{"info":"⫏≰212000210⨒⫏≰0=⫏≰0","layer":2},{"info":"NaN⫁⫏≰0=⫏≰12221","layer":1},{"info":"⫏≰2102110⨚⫏≰22000120=⫏≰-221221202","layer":3},{"info":"⇘⫏≰-221221202=-Inf","layer":2},{"info":"≇⪴-Inf=-Inf","layer":1},{"info":"⫏≰12221≀⫉-Inf=⫏≰10212112","layer":0}]}
{"id":369,"expression_no_base_symbol":"(⇘$2278$↞⋁$2485$)∇⊂⋱($1490$≥⨤⩑$1070$)≝⊿($4167$⋷$5027$)⋾⨃∁(((⫎≠⋺$1426$)⇄(⪲⇎$1281$))≚⋢)","expression":"(⇘⫏≰10010101↞⋁⫏≰10102001)∇⊂⋱(⫏≰2001012≥⨤⩑⫏≰1110122)≝⊿(⫏≰12201100⋷⫏≰20220012)⋾⨃∁(((⫎≠⋺⫏≰1221211)⇄(⪲⇎⫏≰1202110))≚⋢)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":516,"operation_count":11,"complexity_ratio":46.90909090909091,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2278,"base":3},"right_expr":{"type":"numeric_atoms","value":2485,"base":3}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1490,"base":3},"right_expr":{"type":"numeric_atoms","value":1070,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4167,"base":3},"right_expr":{"type":"numeric_atoms","value":5027,"base":3}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1426,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1281,"base":3}}}}},"used_operators":["212REbPD9h","nhYeJWJD5X","MGuIdZPyUC","RqrPlJkxDo","OKKcZfAt5B","gJLn6v0xnP","23Mk6UjR3U","MahUMFw56D","3EYGwJThht","LYeZOJ0nQG","XPYlsWDdGa"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","12rbrZMWeM","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰11001222210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2278","layer":4},{"info":"number node, value=2485","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=2485, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":2},{"info":"number node, value=1490","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=1070, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=4167","layer":4},{"info":"number node, value=5027","layer":4},{"info":"compute binary expreesion, left_input=4167, right_input=5027, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5887","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=5887, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-13541","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13541, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2562","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2562, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-2078","layer":2},{"info":"compute unary expreesion, input=-2078, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=80184","layer":0}],"base":3,"result_base":3,"text":"(⇘⫏≰10010101↞⋁⫏≰10102001)∇⊂⋱(⫏≰2001012≥⨤⩑⫏≰1110122)≝⊿(⫏≰12201100⋷⫏≰20220012)⋾⨃∁(((⫎≠⋺⫏≰1221211)⇄(⪲⇎⫏≰1202110))≚⋢)=⫏≰11001222210","reverse_text":"⫏≰11001222210=(⇘⫏≰10010101↞⋁⫏≰10102001)∇⊂⋱(⫏≰2001012≥⨤⩑⫏≰1110122)≝⊿(⫏≰12201100⋷⫏≰20220012)⋾⨃∁(((⫎≠⋺⫏≰1221211)⇄(⪲⇎⫏≰1202110))≚⋢)","cot":[{"info":"⫏≰10010101↞⋁⫏≰10102001=NaN","layer":3},{"info":"⇘NaN=NaN","layer":2},{"info":"⫏≰2001012≥⨤⩑⫏≰1110122=⫏≰1200201","layer":3},{"info":"⫏≰12201100⋷⫏≰20220012=⫏≰22002001","layer":3},{"info":"⫏≰1200201≝⊿⫏≰22002001=⫏≰-200120112","layer":2},{"info":"NaN∇⊂⋱⫏≰-200120112=NaN","layer":1},{"info":"⫎≠⋺⫏≰1221211=⫏≰0","layer":3},{"info":"⪲⇎⫏≰1202110=⫏≰10111220","layer":3},{"info":"⫏≰0⇄⫏≰10111220=⫏≰-2211222","layer":2},{"info":"⫏≰-2211222≚⋢=⫏≰-10022","layer":1},{"info":"NaN⋾⨃∁⫏≰-10022=⫏≰11001222210","layer":0}]}
{"id":370,"expression_no_base_symbol":"(($3940$∙⊟$2858$)⩧⪆$2833$⊬⨰$7333$)∴($8546$⪛$2919$⨐⩸⫘$1772$⊲⩕⊾$4432$)⪭(↞≼(($2661$⪹)⨫⇇↔($2218$∑⇟⊟$6740$)))","expression":"((⫏≰12101221∙⊟⫏≰10220212)⩧⪆⫏≰10212221⊬⨰⫏≰101001121)∴(⫏≰102201112⪛⫏≰11000010⨐⩸⫘⫏≰2102122⊲⩕⊾⫏≰20002011)⪭(↞≼((⫏≰10122120⪹)⨫⇇↔(⫏≰10001011∑⇟⊟⫏≰100020122)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4108,"operation_count":12,"complexity_ratio":342.3333333333333,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3940,"base":3},"right_expr":{"type":"numeric_atoms","value":2858,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2833,"base":3},"right_expr":{"type":"numeric_atoms","value":7333,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8546,"base":3},"right_expr":{"type":"numeric_atoms","value":2919,"base":3}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1772,"base":3},"right_expr":{"type":"numeric_atoms","value":4432,"base":3}}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2661,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2218,"base":3},"right_expr":{"type":"numeric_atoms","value":6740,"base":3}}}}},"used_operators":["j9kHMeSvPp","hrf7POJlIJ","Ikt5ks8PT7","SxTAKzQCrw","s3Fd5m9Dh2","fu6greOZ01","uFcxV4UQCh","DmTXOeWf9t","DE7zCoGJt9","LXhwmt4mBO","B3sABdIn96","U7g4x0WXJJ"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eewbuw0ToL","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⫏≰10001211220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3940","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=3940, right_input=2858, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=61066","layer":3},{"info":"number node, value=2833","layer":4},{"info":"number node, value=7333","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=7333, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=31109","layer":3},{"info":"compute binary expreesion, left_input=61066, right_input=31109, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-31109","layer":2},{"info":"number node, value=8546","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=8546, right_input=2919, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2708","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=4432, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-69302","layer":3},{"info":"compute binary expreesion, left_input=2708, right_input=-69302, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-31109, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-60570","layer":1},{"info":"number node, value=2661","layer":4},{"info":"compute unary expreesion, input=2661, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=9814","layer":3},{"info":"number node, value=2218","layer":4},{"info":"number node, value=6740","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=6740, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9814, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-4630","layer":1},{"info":"compute binary expreesion, left_input=-60570, right_input=-4630, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=60396","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12101221∙⊟⫏≰10220212)⩧⪆⫏≰10212221⊬⨰⫏≰101001121)∴(⫏≰102201112⪛⫏≰11000010⨐⩸⫘⫏≰2102122⊲⩕⊾⫏≰20002011)⪭(↞≼((⫏≰10122120⪹)⨫⇇↔(⫏≰10001011∑⇟⊟⫏≰100020122)))=⫏≰10001211220","reverse_text":"⫏≰10001211220=((⫏≰12101221∙⊟⫏≰10220212)⩧⪆⫏≰10212221⊬⨰⫏≰101001121)∴(⫏≰102201112⪛⫏≰11000010⨐⩸⫘⫏≰2102122⊲⩕⊾⫏≰20002011)⪭(↞≼((⫏≰10122120⪹)⨫⇇↔(⫏≰10001011∑⇟⊟⫏≰100020122)))","cot":[{"info":"⫏≰12101221∙⊟⫏≰10220212=⫏≰10002202201","layer":3},{"info":"⫏≰10212221⊬⨰⫏≰101001121=⫏≰1120200012","layer":3},{"info":"⫏≰10002202201⩧⪆⫏≰1120200012=⫏≰-1120200012","layer":2},{"info":"⫏≰102201112⪛⫏≰11000010=⫏≰10201022","layer":3},{"info":"⫏≰2102122⊲⩕⊾⫏≰20002011=⫏≰-10112001202","layer":3},{"info":"⫏≰10201022⨐⩸⫘⫏≰-10112001202=NaN","layer":2},{"info":"⫏≰-1120200012∴NaN=⫏≰-10002002100","layer":1},{"info":"⫏≰10122120⪹=⫏≰111110111","layer":3},{"info":"⫏≰10001011∑⇟⊟⫏≰100020122=NaN","layer":3},{"info":"⫏≰111110111⨫⇇↔NaN=⫏≰-201112","layer":2},{"info":"↞≼⫏≰-201112=⫏≰-20100111","layer":1},{"info":"⫏≰-10002002100⪭⫏≰-20100111=⫏≰10001211220","layer":0}]}
{"id":371,"expression_no_base_symbol":"((↩⪖$1033$)⨻⩈⩔$5800$⨐$1532$)∥⊢⊲(∑⇻≧$4313$⪡$7471$)⫚↹⊑$1279$+⪬∐$6954$≬⇓$4260$⋓$1373$↺$1386$⊉↱≁$2665$⩼⇪↪(+⊝⨔$1738$)","expression":"((↩⪖⫏≰1102021)⨻⩈⩔⫏≰21221211⨐⫏≰2002202)∥⊢⊲(∑⇻≧⫏≰12220202⪡⫏≰101020201)⫚↹⊑⫏≰1202101+⪬∐⫏≰100112120≬⇓⫏≰12211210⋓⫏≰1212212↺⫏≰1220100⊉↱≁⫏≰10122201⩼⇪↪(+⊝⨔⫏≰2101101)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15484,"operation_count":14,"complexity_ratio":1106.0,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1033,"base":3}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5800,"base":3},"right_expr":{"type":"numeric_atoms","value":1532,"base":3}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4313,"base":3},"right_expr":{"type":"numeric_atoms","value":7471,"base":3}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1279,"base":3},"right_expr":{"type":"numeric_atoms","value":6954,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4260,"base":3},"right_expr":{"type":"numeric_atoms","value":1373,"base":3}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1386,"base":3},"right_expr":{"type":"numeric_atoms","value":2665,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1738,"base":3}}}}},"used_operators":["dfKe02y8D2","v1UQAVDJRr","nEsXyWgiOK","fG6uBQFnGz","Noe24qw2ks","l1M9WJ3V7u","oraRL2iQuh","7j4O788W3g","jWTQ2TZYIH","2GS7woTJqF","T2fj7uvVaJ","ocnLzx9CaJ","w2P8NbNXyL","DhbWaqg5eL"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","g55IO6H4Gj","D4vGDi5EA2","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫏≰-121120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-9180","layer":3},{"info":"number node, value=5800","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=5800, right_input=1532, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-11600","layer":3},{"info":"compute binary expreesion, left_input=-9180, right_input=-11600, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=4313","layer":4},{"info":"number node, value=7471","layer":4},{"info":"compute binary expreesion, left_input=4313, right_input=7471, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-852, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"number node, value=1279","layer":4},{"info":"number node, value=6954","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=6954, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3837","layer":3},{"info":"number node, value=4260","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=4260, right_input=1373, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3837, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=147671204","layer":2},{"info":"number node, value=1386","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=2665, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-3244","layer":3},{"info":"number node, value=1738","layer":4},{"info":"compute unary expreesion, input=1738, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-3244, right_input=1522, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-17925","layer":2},{"info":"compute binary expreesion, left_input=147671204, right_input=-17925, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-17925","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-17925, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":3,"result_base":3,"text":"((↩⪖⫏≰1102021)⨻⩈⩔⫏≰21221211⨐⫏≰2002202)∥⊢⊲(∑⇻≧⫏≰12220202⪡⫏≰101020201)⫚↹⊑⫏≰1202101+⪬∐⫏≰100112120≬⇓⫏≰12211210⋓⫏≰1212212↺⫏≰1220100⊉↱≁⫏≰10122201⩼⇪↪(+⊝⨔⫏≰2101101)=⫏≰-121120","reverse_text":"⫏≰-121120=((↩⪖⫏≰1102021)⨻⩈⩔⫏≰21221211⨐⫏≰2002202)∥⊢⊲(∑⇻≧⫏≰12220202⪡⫏≰101020201)⫚↹⊑⫏≰1202101+⪬∐⫏≰100112120≬⇓⫏≰12211210⋓⫏≰1212212↺⫏≰1220100⊉↱≁⫏≰10122201⩼⇪↪(+⊝⨔⫏≰2101101)","cot":[{"info":"↩⪖⫏≰1102021=⫏≰-110121000","layer":3},{"info":"⫏≰21221211⨐⫏≰2002202=⫏≰-120220122","layer":3},{"info":"⫏≰-110121000⨻⩈⩔⫏≰-120220122=⫏≰-20110","layer":2},{"info":"⫏≰12220202⪡⫏≰101020201=⫏≰10222","layer":3},{"info":"∑⇻≧⫏≰10222=⫏≰-1011120","layer":2},{"info":"⫏≰-20110∥⊢⊲⫏≰-1011120=⫏≰0","layer":1},{"info":"⫏≰1202101+⪬∐⫏≰100112120=⫏≰-12021010","layer":3},{"info":"⫏≰12211210⋓⫏≰1212212=⫏≰0","layer":3},{"info":"⫏≰-12021010≬⇓⫏≰0=⫏≰101021212110210212","layer":2},{"info":"⫏≰1220100⊉↱≁⫏≰10122201=⫏≰-11110011","layer":3},{"info":"+⊝⨔⫏≰2101101=⫏≰2002101","layer":3},{"info":"⫏≰-11110011⩼⇪↪⫏≰2002101=⫏≰-220120220","layer":2},{"info":"⫏≰101021212110210212↺⫏≰-220120220=⫏≰-220120220","layer":1},{"info":"⫏≰0⫚↹⊑⫏≰-220120220=⫏≰-121120","layer":0}]}
{"id":372,"expression_no_base_symbol":"(((⪸$3824$)∖($1077$⊿∆))⇴($4739$⫢⨠$3893$⪨⊡$1417$⇌⫙⪟$4273$))⊉↱≁($8016$∀⇚≩$2729$⨓($1178$⪛⫼$1487$)⫃⨇($8032$⋛$1555$)⪝($2381$⊍⩺⋍$4061$))","expression":"(((⪸⫏≰12020122)∖(⫏≰1110220⊿∆))⇴(⫏≰20111112⫢⨠⫏≰12100012⪨⊡⫏≰1221111⇌⫙⪟⫏≰12212021))⊉↱≁(⫏≰101222220∀⇚≩⫏≰10202002⨓(⫏≰1121122⪛⫼⫏≰2001002)⫃⨇(⫏≰102000111⋛⫏≰2010121)⪝(⫏≰10021012⊍⩺⋍⫏≰12120102))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":58425,"operation_count":15,"complexity_ratio":3895.0,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":3824,"base":3}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1077,"base":3}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4739,"base":3},"right_expr":{"type":"numeric_atoms","value":3893,"base":3}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1417,"base":3},"right_expr":{"type":"numeric_atoms","value":4273,"base":3}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8016,"base":3},"right_expr":{"type":"numeric_atoms","value":2729,"base":3}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1178,"base":3},"right_expr":{"type":"numeric_atoms","value":1487,"base":3}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":8032,"base":3},"right_expr":{"type":"numeric_atoms","value":1555,"base":3}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2381,"base":3},"right_expr":{"type":"numeric_atoms","value":4061,"base":3}}}}},"used_operators":["w2P8NbNXyL","4JB6nKBMSY","tXD093vOjl","86A5ENbKR9","fv3ZujxkQL","kuIXHzHcAH","xlXykHWxX1","AFVx7xoS7T","09Ly4LVMIf","3ViojmjbAp","LRNGc0VcxI","hyuBjUqXlG","wicAB68Tmb","YbUVn0Rbpy","OXDGMFPWZM"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3824","layer":4},{"info":"compute unary expreesion, input=3824, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-64799","layer":3},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-2275","layer":3},{"info":"compute binary expreesion, left_input=-64799, right_input=-2275, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=4739","layer":4},{"info":"number node, value=3893","layer":4},{"info":"compute binary expreesion, left_input=4739, right_input=3893, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=4273, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=113, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-66","layer":1},{"info":"number node, value=8016","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=8016, right_input=2729, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1178","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=1487, 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":3},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-971","layer":2},{"info":"number node, value=8032","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=8032, right_input=1555, 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=-59904","layer":3},{"info":"number node, value=2381","layer":4},{"info":"number node, value=4061","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=4061, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-59904, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-971, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-66, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⪸⫏≰12020122)∖(⫏≰1110220⊿∆))⇴(⫏≰20111112⫢⨠⫏≰12100012⪨⊡⫏≰1221111⇌⫙⪟⫏≰12212021))⊉↱≁(⫏≰101222220∀⇚≩⫏≰10202002⨓(⫏≰1121122⪛⫼⫏≰2001002)⫃⨇(⫏≰102000111⋛⫏≰2010121)⪝(⫏≰10021012⊍⩺⋍⫏≰12120102))=NaN","reverse_text":"NaN=(((⪸⫏≰12020122)∖(⫏≰1110220⊿∆))⇴(⫏≰20111112⫢⨠⫏≰12100012⪨⊡⫏≰1221111⇌⫙⪟⫏≰12212021))⊉↱≁(⫏≰101222220∀⇚≩⫏≰10202002⨓(⫏≰1121122⪛⫼⫏≰2001002)⫃⨇(⫏≰102000111⋛⫏≰2010121)⪝(⫏≰10021012⊍⩺⋍⫏≰12120102))","cot":[{"info":"⪸⫏≰12020122=⫏≰-10021212222","layer":3},{"info":"⫏≰1110220⊿∆=⫏≰-10010021","layer":3},{"info":"⫏≰-10021212222∖⫏≰-10010021=⫏≰0","layer":2},{"info":"⫏≰20111112⫢⨠⫏≰12100012=⫏≰12221","layer":3},{"info":"⫏≰1221111⇌⫙⪟⫏≰12212021=⫏≰11012","layer":3},{"info":"⫏≰12221⪨⊡⫏≰11012=⫏≰12221","layer":2},{"info":"⫏≰0⇴⫏≰12221=⫏≰-2110","layer":1},{"info":"⫏≰101222220∀⇚≩⫏≰10202002=NaN","layer":3},{"info":"⫏≰1121122⪛⫼⫏≰2001002=⫏≰1022212","layer":3},{"info":"NaN⨓⫏≰1022212=⫏≰-1022222","layer":2},{"info":"⫏≰102000111⋛⫏≰2010121=⫏≰-10001011200","layer":3},{"info":"⫏≰10021012⊍⩺⋍⫏≰12120102=NaN","layer":3},{"info":"⫏≰-10001011200⪝NaN=NaN","layer":2},{"info":"⫏≰-1022222⫃⨇NaN=NaN","layer":1},{"info":"⫏≰-2110⊉↱≁NaN=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"(($4179$∈)⫘$4434$⨂≜$3624$⫦⪉($1348$⪡$4398$)⨜⨶(↨⩢⫨$5074$))∴(⪓⩚$4082$∌↝$6756$↬($2428$⇯⋐))","expression":"((⫏≰12201210∈)⫘⫏≰20002020⨂≜⫏≰11222020⫦⪉(⫏≰1211221⪡⫏≰20000220)⨜⨶(↨⩢⫨⫏≰20221221))∴(⪓⩚⫏≰12121012∌↝⫏≰100021020↬(⫏≰10022221⇯⋐))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20104,"operation_count":12,"complexity_ratio":1675.3333333333333,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":4179,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4434,"base":3},"right_expr":{"type":"numeric_atoms","value":3624,"base":3}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1348,"base":3},"right_expr":{"type":"numeric_atoms","value":4398,"base":3}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":5074,"base":3}}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4082,"base":3},"right_expr":{"type":"numeric_atoms","value":6756,"base":3}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2428,"base":3}}}}},"used_operators":["hrf7POJlIJ","wscyQdcy20","48vC8HMD2b","ztP7wcbY7m","k1SHOSEABc","HiPekx5b7W","oraRL2iQuh","Z5CJsN7DuW","u0R0Locfp2","B5M0gjZbta","9Isq31Ruls","LkLIoiE525"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","rGHVDoGpnC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"⫏≰-10220001010220111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4179","layer":4},{"info":"compute unary expreesion, input=4179, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=11866","layer":3},{"info":"number node, value=4434","layer":4},{"info":"number node, value=3624","layer":4},{"info":"compute binary expreesion, left_input=4434, right_input=3624, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11866, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=13958821","layer":2},{"info":"number node, value=1348","layer":4},{"info":"number node, value=4398","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=4398, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=5074","layer":4},{"info":"compute unary expreesion, input=5074, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=0, 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=1853","layer":2},{"info":"compute binary expreesion, left_input=13958821, right_input=1853, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-27912742","layer":1},{"info":"number node, value=4082","layer":4},{"info":"number node, value=6756","layer":4},{"info":"compute binary expreesion, left_input=4082, right_input=6756, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2428","layer":4},{"info":"compute unary expreesion, input=2428, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=8162","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8162, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=8162","layer":2},{"info":"compute unary expreesion, input=8162, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute binary expreesion, left_input=-27912742, right_input=426, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-55823836","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12201210∈)⫘⫏≰20002020⨂≜⫏≰11222020⫦⪉(⫏≰1211221⪡⫏≰20000220)⨜⨶(↨⩢⫨⫏≰20221221))∴(⪓⩚⫏≰12121012∌↝⫏≰100021020↬(⫏≰10022221⇯⋐))=⫏≰-10220001010220111","reverse_text":"⫏≰-10220001010220111=((⫏≰12201210∈)⫘⫏≰20002020⨂≜⫏≰11222020⫦⪉(⫏≰1211221⪡⫏≰20000220)⨜⨶(↨⩢⫨⫏≰20221221))∴(⪓⩚⫏≰12121012∌↝⫏≰100021020↬(⫏≰10022221⇯⋐))","cot":[{"info":"⫏≰12201210∈=⫏≰121021111","layer":3},{"info":"⫏≰20002020⨂≜⫏≰11222020=NaN","layer":3},{"info":"⫏≰121021111⫘NaN=⫏≰222021011220101","layer":2},{"info":"⫏≰1211221⪡⫏≰20000220=⫏≰10222","layer":3},{"info":"↨⩢⫨⫏≰20221221=⫏≰0","layer":3},{"info":"⫏≰10222⨜⨶⫏≰0=⫏≰2112122","layer":2},{"info":"⫏≰222021011220101⫦⪉⫏≰2112122=⫏≰-1221112010002021","layer":1},{"info":"⫏≰12121012∌↝⫏≰100021020=⫏≰0","layer":3},{"info":"⫏≰10022221⇯⋐=⫏≰102012022","layer":3},{"info":"⫏≰0↬⫏≰102012022=⫏≰102012022","layer":2},{"info":"⪓⩚⫏≰102012022=⫏≰120210","layer":1},{"info":"⫏≰-1221112010002021∴⫏≰120210=⫏≰-10220001010220111","layer":0}]}
{"id":374,"expression_no_base_symbol":"(∂($6311$⪒⊣⊆$1243$⫲≸⪮($1006$⩧⪆$2638$)))≧⫂∧((⨞⊢(⋠∜$1501$))⨔≚≋(∤↝($3071$⪨≂$3349$)))","expression":"(∂(⫏≰22122202⪒⊣⊆⫏≰1201001⫲≸⪮(⫏≰1101021⩧⪆⫏≰10121201)))≧⫂∧((⨞⊢(⋠∜⫏≰2001121))⨔≚≋(∤↝(⫏≰11012202⪨≂⫏≰11121001)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12691,"operation_count":10,"complexity_ratio":1269.1,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":6311,"base":3},"right_expr":{"type":"numeric_atoms","value":1243,"base":3}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":2638,"base":3}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1501,"base":3}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3071,"base":3},"right_expr":{"type":"numeric_atoms","value":3349,"base":3}}}}},"used_operators":["Ph9nP6C5qx","Uaa54Peajs","P3lXMJvFrc","eRqsBgTDFp","Ikt5ks8PT7","Z57zeUYC9z","xUOZtlo3hN","ZJpFhNJr3x","3UMq87Qwqg","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sdazOOVcIp","W4YGzv6Whe","eewbuw0ToL","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰20220021022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6311","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=6311, right_input=1243, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=12622","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=2638, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2638","layer":3},{"info":"compute binary expreesion, left_input=12622, right_input=-2638, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=12622","layer":2},{"info":"compute unary expreesion, input=12622, 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=1501","layer":4},{"info":"compute unary expreesion, input=1501, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=8288","layer":3},{"info":"compute unary expreesion, input=8288, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8462","layer":2},{"info":"number node, value=3071","layer":4},{"info":"number node, value=3349","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=3349, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-454","layer":3},{"info":"compute unary expreesion, input=-454, 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=-454","layer":2},{"info":"compute binary expreesion, left_input=-8462, right_input=-454, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=136264","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=136264, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=135791","layer":0}],"base":3,"result_base":3,"text":"(∂(⫏≰22122202⪒⊣⊆⫏≰1201001⫲≸⪮(⫏≰1101021⩧⪆⫏≰10121201)))≧⫂∧((⨞⊢(⋠∜⫏≰2001121))⨔≚≋(∤↝(⫏≰11012202⪨≂⫏≰11121001)))=⫏≰20220021022","reverse_text":"⫏≰20220021022=(∂(⫏≰22122202⪒⊣⊆⫏≰1201001⫲≸⪮(⫏≰1101021⩧⪆⫏≰10121201)))≧⫂∧((⨞⊢(⋠∜⫏≰2001121))⨔≚≋(∤↝(⫏≰11012202⪨≂⫏≰11121001)))","cot":[{"info":"⫏≰22122202⪒⊣⊆⫏≰1201001=⫏≰122022111","layer":3},{"info":"⫏≰1101021⩧⪆⫏≰10121201=⫏≰-10121201","layer":3},{"info":"⫏≰122022111⫲≸⪮⫏≰-10121201=⫏≰122022111","layer":2},{"info":"∂⫏≰122022111=NaN","layer":1},{"info":"⋠∜⫏≰2001121=⫏≰102100222","layer":3},{"info":"⨞⊢⫏≰102100222=⫏≰-102121102","layer":2},{"info":"⫏≰11012202⪨≂⫏≰11121001=⫏≰-121211","layer":3},{"info":"∤↝⫏≰-121211=⫏≰-121211","layer":2},{"info":"⫏≰-102121102⨔≚≋⫏≰-121211=⫏≰20220220211","layer":1},{"info":"NaN≧⫂∧⫏≰20220220211=⫏≰20220021022","layer":0}]}
{"id":375,"expression_no_base_symbol":"((⩎⋉($1595$⇌⫙⪟$1346$))⊚⫡⫭)⨻⩈⩔(($3345$⪛⫼$1050$)⇆⨓≜)⨟⋌⩍(⇐($1700$*$1288$))","expression":"((⩎⋉(⫏≰2012002⇌⫙⪟⫏≰1211212))⊚⫡⫭)⨻⩈⩔((⫏≰11120220⪛⫼⫏≰1102220)⇆⨓≜)⨟⋌⩍(⇐(⫏≰2022222*⫏≰1202201))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1826,"operation_count":9,"complexity_ratio":202.88888888888889,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1595,"base":3},"right_expr":{"type":"numeric_atoms","value":1346,"base":3}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3345,"base":3},"right_expr":{"type":"numeric_atoms","value":1050,"base":3}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1700,"base":3},"right_expr":{"type":"numeric_atoms","value":1288,"base":3}}}}},"used_operators":["nEsXyWgiOK","SpZWOsLKZJ","FlXk3pOYe8","AFVx7xoS7T","rGHVDoGpnC","KvvgdUaMHJ","hyuBjUqXlG","nmZMaaE0Q9","9HNa5Wba9A"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Tcnh7f0tEr","Uaa54Peajs","KYD54nUTWz","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","W4YGzv6Whe"],"result":"⫏≰1001001120111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1346, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, 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=-11564","layer":2},{"info":"compute unary expreesion, input=-11564, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=70084","layer":1},{"info":"number node, value=3345","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=3345, right_input=1050, 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":3},{"info":"compute unary expreesion, input=968, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=1700","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=1288, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2189600","layer":3},{"info":"compute unary expreesion, input=2189600, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4368294","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4368294, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=70084, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=552271","layer":0}],"base":3,"result_base":3,"text":"((⩎⋉(⫏≰2012002⇌⫙⪟⫏≰1211212))⊚⫡⫭)⨻⩈⩔((⫏≰11120220⪛⫼⫏≰1102220)⇆⨓≜)⨟⋌⩍(⇐(⫏≰2022222*⫏≰1202201))=⫏≰1001001120111","reverse_text":"⫏≰1001001120111=((⩎⋉(⫏≰2012002⇌⫙⪟⫏≰1211212))⊚⫡⫭)⨻⩈⩔((⫏≰11120220⪛⫼⫏≰1102220)⇆⨓≜)⨟⋌⩍(⇐(⫏≰2022222*⫏≰1202201))","cot":[{"info":"⫏≰2012002⇌⫙⪟⫏≰1211212=⫏≰11012","layer":3},{"info":"⩎⋉⫏≰11012=⫏≰-120212022","layer":2},{"info":"⫏≰-120212022⊚⫡⫭=⫏≰10120010201","layer":1},{"info":"⫏≰11120220⪛⫼⫏≰1102220=⫏≰1022212","layer":3},{"info":"⫏≰1022212⇆⨓≜=NaN","layer":2},{"info":"⫏≰2022222*⫏≰1202201=⫏≰11010020120022","layer":3},{"info":"⇐⫏≰11010020120022=⫏≰22012221011200","layer":2},{"info":"NaN⨟⋌⩍⫏≰22012221011200=NaN","layer":1},{"info":"⫏≰10120010201⨻⩈⩔NaN=⫏≰1001001120111","layer":0}]}
{"id":376,"expression_no_base_symbol":"(($3006$⊭↱$1490$)⪪(⊤⊝$1020$)⇣⩺⋵($4826$⊕∕$1601$≒∊$1629$∛$3126$))⩁⩘(((∓⪦$4712$)⪉⨛$2549$⫉⨲⊜$4858$)↫)","expression":"((⫏≰11010100⊭↱⫏≰2001012)⪪(⊤⊝⫏≰1101210)⇣⩺⋵(⫏≰20121202⊕∕⫏≰2012022≒∊⫏≰2020100∛⫏≰11021210))⩁⩘(((∓⪦⫏≰20110112)⪉⨛⫏≰10111102⫉⨲⊜⫏≰20122221)↫)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":623,"operation_count":12,"complexity_ratio":51.916666666666664,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3006,"base":3},"right_expr":{"type":"numeric_atoms","value":1490,"base":3}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1020,"base":3}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4826,"base":3},"right_expr":{"type":"numeric_atoms","value":1601,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1629,"base":3},"right_expr":{"type":"numeric_atoms","value":3126,"base":3}}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":4712,"base":3}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2549,"base":3},"right_expr":{"type":"numeric_atoms","value":4858,"base":3}}}}},"used_operators":["gub5Cegaqo","F4yD0voBRQ","xD69zh8xqp","COABgblf1C","rXAclfmB4M","5KTvxBwnZo","9cloC0Ngie","w2537kitQq","uPb5QRN0te","EWw2JM7wp4","D309nIvmXG","WhqkvtTD3t"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eewbuw0ToL","zVYPLywUTj"],"result":"⫏≰2011211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3006","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=1490, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3027","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=742","layer":3},{"info":"compute binary expreesion, left_input=-3027, right_input=742, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=4826","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=4826, right_input=1601, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4826","layer":3},{"info":"number node, value=1629","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=3126, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=4826, right_input=-670, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4342","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=-4342, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-16078","layer":1},{"info":"number node, value=4712","layer":4},{"info":"compute unary expreesion, input=4712, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=4304","layer":3},{"info":"number node, value=2549","layer":4},{"info":"number node, value=4858","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=4858, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4304, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=13127","layer":2},{"info":"compute unary expreesion, input=13127, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-16078, right_input=160, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=1588","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11010100⊭↱⫏≰2001012)⪪(⊤⊝⫏≰1101210)⇣⩺⋵(⫏≰20121202⊕∕⫏≰2012022≒∊⫏≰2020100∛⫏≰11021210))⩁⩘(((∓⪦⫏≰20110112)⪉⨛⫏≰10111102⫉⨲⊜⫏≰20122221)↫)=⫏≰2011211","reverse_text":"⫏≰2011211=((⫏≰11010100⊭↱⫏≰2001012)⪪(⊤⊝⫏≰1101210)⇣⩺⋵(⫏≰20121202⊕∕⫏≰2012022≒∊⫏≰2020100∛⫏≰11021210))⩁⩘(((∓⪦⫏≰20110112)⪉⨛⫏≰10111102⫉⨲⊜⫏≰20122221)↫)","cot":[{"info":"⫏≰11010100⊭↱⫏≰2001012=⫏≰-11011010","layer":3},{"info":"⊤⊝⫏≰1101210=⫏≰1000111","layer":3},{"info":"⫏≰-11011010⪪⫏≰1000111=⫏≰-22111212","layer":2},{"info":"⫏≰20121202⊕∕⫏≰2012022=⫏≰20121202","layer":3},{"info":"⫏≰2020100∛⫏≰11021210=⫏≰-220211","layer":3},{"info":"⫏≰20121202≒∊⫏≰-220211=⫏≰-12221211","layer":2},{"info":"⫏≰-22111212⇣⩺⋵⫏≰-12221211=⫏≰-211001111","layer":1},{"info":"∓⪦⫏≰20110112=⫏≰12220102","layer":3},{"info":"⫏≰10111102⫉⨲⊜⫏≰20122221=⫏≰0","layer":3},{"info":"⫏≰12220102⪉⨛⫏≰0=⫏≰200000012","layer":2},{"info":"⫏≰200000012↫=⫏≰12221","layer":1},{"info":"⫏≰-211001111⩁⩘⫏≰12221=⫏≰2011211","layer":0}]}
{"id":377,"expression_no_base_symbol":"(($2745$⪄$1096$)⨔≚≋$1916$⇤$6742$)∥⊢⊲((⩎⋉$6552$)⨭⪣$4318$⪕$2419$)⩘","expression":"((⫏≰10202200⪄⫏≰1111121)⨔≚≋⫏≰2121222⇤⫏≰100020201)∥⊢⊲((⩎⋉⫏≰22222200)⨭⪣⫏≰12220221⪕⫏≰10022121)⩘","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2311,"operation_count":8,"complexity_ratio":288.875,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2745,"base":3},"right_expr":{"type":"numeric_atoms","value":1096,"base":3}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1916,"base":3},"right_expr":{"type":"numeric_atoms","value":6742,"base":3}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6552,"base":3}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4318,"base":3},"right_expr":{"type":"numeric_atoms","value":2419,"base":3}}}}},"used_operators":["wvHyciQT5X","v1UQAVDJRr","Z57zeUYC9z","SUmda5xLS4","YSKBFp38Pu","kn8WO9XteQ","FlXk3pOYe8","umQnsF7QlU"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","EBcxylXtPf","rGHVDoGpnC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2745","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=1096, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-406733","layer":3},{"info":"number node, value=1916","layer":4},{"info":"number node, value=6742","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=6742, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-40442","layer":3},{"info":"compute binary expreesion, left_input=-406733, right_input=-40442, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=6828504","layer":2},{"info":"number node, value=6552","layer":4},{"info":"compute unary expreesion, input=6552, 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":3},{"info":"number node, value=4318","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=4318, right_input=2419, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=7118","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=7118, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=371","layer":2},{"info":"compute binary expreesion, left_input=6828504, right_input=371, 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 = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10202200⪄⫏≰1111121)⨔≚≋⫏≰2121222⇤⫏≰100020201)∥⊢⊲((⩎⋉⫏≰22222200)⨭⪣⫏≰12220221⪕⫏≰10022121)⩘=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰10202200⪄⫏≰1111121)⨔≚≋⫏≰2121222⇤⫏≰100020201)∥⊢⊲((⩎⋉⫏≰22222200)⨭⪣⫏≰12220221⪕⫏≰10022121)⩘","cot":[{"info":"⫏≰10202200⪄⫏≰1111121=⫏≰-202122221012","layer":3},{"info":"⫏≰2121222⇤⫏≰100020201=⫏≰-2001110212","layer":3},{"info":"⫏≰-202122221012⨔≚≋⫏≰-2001110212=⫏≰110211220221120","layer":2},{"info":"⩎⋉⫏≰22222200=⫏≰2021010","layer":3},{"info":"⫏≰12220221⪕⫏≰10022121=⫏≰100202122","layer":3},{"info":"⫏≰2021010⨭⪣⫏≰100202122=⫏≰111202","layer":2},{"info":"⫏≰110211220221120∥⊢⊲⫏≰111202=NaN","layer":1},{"info":"NaN⩘=⫏≰2111","layer":0}]}
{"id":378,"expression_no_base_symbol":"$1443$⋹⋡⊁$2813$∘($4253$⋛$1039$)⫥∨⫟($1416$⨭⪣$2793$≬⋮$1179$⪄$2156$)⫦⪉(≋$7173$)⨸($1135$⫠↝⫳)∠⫱($7084$⨰$1311$∙∹∝$1639$⨔⇊$5857$)","expression":"⫏≰1222110⋹⋡⊁⫏≰10212012∘(⫏≰12211112⋛⫏≰1102111)⫥∨⫟(⫏≰1221110⨭⪣⫏≰10211110≬⋮⫏≰1121200⪄⫏≰2221212)⫦⪉(≋⫏≰100211200)⨸(⫏≰1120001⫠↝⫳)∠⫱(⫏≰100201101⨰⫏≰1210120∙∹∝⫏≰2020201⨔⇊⫏≰22000221)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":70437,"operation_count":15,"complexity_ratio":4695.8,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1443,"base":3},"right_expr":{"type":"numeric_atoms","value":2813,"base":3}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4253,"base":3},"right_expr":{"type":"numeric_atoms","value":1039,"base":3}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1416,"base":3},"right_expr":{"type":"numeric_atoms","value":2793,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1179,"base":3},"right_expr":{"type":"numeric_atoms","value":2156,"base":3}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":7173,"base":3}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":1135,"base":3}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7084,"base":3},"right_expr":{"type":"numeric_atoms","value":1311,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1639,"base":3},"right_expr":{"type":"numeric_atoms","value":5857,"base":3}}}}},"used_operators":["wscyQdcy20","KYD54nUTWz","Z5m6OM72h2","As8RqfVLgs","YbUVn0Rbpy","kbkesczE7y","kn8WO9XteQ","SUmda5xLS4","QvoQhV0rrE","KmoU8R5UQR","61wBmkZwlr","8n5YIzOsVS","HmxsFra2vL","eewbuw0ToL","JclMnS0uGI"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","8HhzD0ZcuI","rGHVDoGpnC","eH2TOUuTDT","rysDP5nf3Z","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","7j4O788W3g","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"number node, value=2813","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=2813, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3563","layer":3},{"info":"number node, value=4253","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=4253, right_input=1039, 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=-93915","layer":3},{"info":"compute binary expreesion, left_input=3563, right_input=-93915, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-3183","layer":2},{"info":"number node, value=1416","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=2793, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=137","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=2156","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=2156, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-179205","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-179205, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-3183, right_input=868, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=7173","layer":4},{"info":"compute unary expreesion, input=7173, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=7173","layer":3},{"info":"number node, value=1135","layer":4},{"info":"compute unary expreesion, input=1135, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=36943","layer":3},{"info":"compute binary expreesion, left_input=7173, right_input=36943, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=14346","layer":2},{"info":"number node, value=7084","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=7084, right_input=1311, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5783","layer":3},{"info":"number node, value=1639","layer":4},{"info":"number node, value=5857","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=5857, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5857","layer":3},{"info":"compute binary expreesion, left_input=5783, right_input=5857, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=14346, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=14346","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14346, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰1222110⋹⋡⊁⫏≰10212012∘(⫏≰12211112⋛⫏≰1102111)⫥∨⫟(⫏≰1221110⨭⪣⫏≰10211110≬⋮⫏≰1121200⪄⫏≰2221212)⫦⪉(≋⫏≰100211200)⨸(⫏≰1120001⫠↝⫳)∠⫱(⫏≰100201101⨰⫏≰1210120∙∹∝⫏≰2020201⨔⇊⫏≰22000221)=NaN","reverse_text":"NaN=⫏≰1222110⋹⋡⊁⫏≰10212012∘(⫏≰12211112⋛⫏≰1102111)⫥∨⫟(⫏≰1221110⨭⪣⫏≰10211110≬⋮⫏≰1121200⪄⫏≰2221212)⫦⪉(≋⫏≰100211200)⨸(⫏≰1120001⫠↝⫳)∠⫱(⫏≰100201101⨰⫏≰1210120∙∹∝⫏≰2020201⨔⇊⫏≰22000221)","cot":[{"info":"⫏≰1222110⋹⋡⊁⫏≰10212012=⫏≰11212222","layer":3},{"info":"⫏≰12211112⋛⫏≰1102111=⫏≰-11202211100","layer":3},{"info":"⫏≰11212222∘⫏≰-11202211100=⫏≰-11100220","layer":2},{"info":"⫏≰1221110⨭⪣⫏≰10211110=⫏≰12002","layer":3},{"info":"⫏≰1121200⪄⫏≰2221212=⫏≰-100002211020","layer":3},{"info":"⫏≰12002≬⋮⫏≰-100002211020=⫏≰1012011","layer":2},{"info":"⫏≰-11100220⫥∨⫟⫏≰1012011=NaN","layer":1},{"info":"≋⫏≰100211200=⫏≰100211200","layer":3},{"info":"⫏≰1120001⫠↝⫳=⫏≰1212200021","layer":3},{"info":"⫏≰100211200⨸⫏≰1212200021=⫏≰201200100","layer":2},{"info":"⫏≰100201101⨰⫏≰1210120=⫏≰21221012","layer":3},{"info":"⫏≰2020201⨔⇊⫏≰22000221=⫏≰22000221","layer":3},{"info":"⫏≰21221012∙∹∝⫏≰22000221=⫏≰0","layer":2},{"info":"⫏≰201200100∠⫱⫏≰0=⫏≰201200100","layer":1},{"info":"NaN⫦⪉⫏≰201200100=NaN","layer":0}]}
{"id":379,"expression_no_base_symbol":"⪫⨮⊛(($2861$⊔$2274$⪶≀⋏$1050$⨑⩅≇$2518$)⋥⋵⩄($1536$⪕$1813$)⇻⋧≁(⫎≠⋺$5292$))","expression":"⪫⨮⊛((⫏≰10220222⊔⫏≰10010020⪶≀⋏⫏≰1102220⨑⩅≇⫏≰10110021)⋥⋵⩄(⫏≰2002220⪕⫏≰2111011)⇻⋧≁(⫎≠⋺⫏≰21021000))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23996473,"operation_count":8,"complexity_ratio":2999559.125,"tree":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2861,"base":3},"right_expr":{"type":"numeric_atoms","value":2274,"base":3}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1050,"base":3},"right_expr":{"type":"numeric_atoms","value":2518,"base":3}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1536,"base":3},"right_expr":{"type":"numeric_atoms","value":1813,"base":3}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":5292,"base":3}}}}},"used_operators":["w5FWba1tyO","7t3wd0Fuz7","zR4jO40bMj","E4l6HwMY31","h92wMvzauj","jCPkEVoL5K","umQnsF7QlU","LYeZOJ0nQG"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2861","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=2861, right_input=2274, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=14692","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2518, 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=-3150","layer":3},{"info":"compute binary expreesion, left_input=14692, right_input=-3150, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-38008","layer":2},{"info":"number node, value=1536","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=1813, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2160","layer":3},{"info":"number node, value=5292","layer":4},{"info":"compute unary expreesion, input=5292, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2160, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-38008, right_input=-447, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=78942","layer":1},{"info":"compute unary expreesion, input=78942, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪫⨮⊛((⫏≰10220222⊔⫏≰10010020⪶≀⋏⫏≰1102220⨑⩅≇⫏≰10110021)⋥⋵⩄(⫏≰2002220⪕⫏≰2111011)⇻⋧≁(⫎≠⋺⫏≰21021000))=NaN","reverse_text":"NaN=⪫⨮⊛((⫏≰10220222⊔⫏≰10010020⪶≀⋏⫏≰1102220⨑⩅≇⫏≰10110021)⋥⋵⩄(⫏≰2002220⪕⫏≰2111011)⇻⋧≁(⫎≠⋺⫏≰21021000))","cot":[{"info":"⫏≰10220222⊔⫏≰10010020=⫏≰202011011","layer":3},{"info":"⫏≰1102220⨑⩅≇⫏≰10110021=⫏≰-11022200","layer":3},{"info":"⫏≰202011011⪶≀⋏⫏≰-11022200=⫏≰-1221010201","layer":2},{"info":"⫏≰2002220⪕⫏≰2111011=⫏≰2222000","layer":3},{"info":"⫎≠⋺⫏≰21021000=⫏≰0","layer":3},{"info":"⫏≰2222000⇻⋧≁⫏≰0=⫏≰-121120","layer":2},{"info":"⫏≰-1221010201⋥⋵⩄⫏≰-121120=⫏≰11000021210","layer":1},{"info":"⪫⨮⊛⫏≰11000021210=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"(⊥$9502$)⪃⊛⇣(⨙⪌$2879$)⫞⩸⩒(($2697$↳∿⪆$4575$)↢($1684$⋓$1855$))⨽∌(∓⪦($2904$⫚↹⊑$1567$)⩁⩘($5012$⪪$1281$))","expression":"(⊥⫏≰111000221)⪃⊛⇣(⨙⪌⫏≰10221122)⫞⩸⩒((⫏≰10200220↳∿⪆⫏≰20021110)↢(⫏≰2022101⋓⫏≰2112201))⨽∌(∓⪦(⫏≰10222120⫚↹⊑⫏≰2011001)⩁⩘(⫏≰20212122⪪⫏≰1202110))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":59297,"operation_count":12,"complexity_ratio":4941.416666666667,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":9502,"base":3}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2879,"base":3}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2697,"base":3},"right_expr":{"type":"numeric_atoms","value":4575,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1684,"base":3},"right_expr":{"type":"numeric_atoms","value":1855,"base":3}}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2904,"base":3},"right_expr":{"type":"numeric_atoms","value":1567,"base":3}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":5012,"base":3},"right_expr":{"type":"numeric_atoms","value":1281,"base":3}}}}},"used_operators":["9samAPKr6k","XGcMNugi78","rrgAzCduG9","Q3PJZHRvZv","vEGLkm4Z2k","WR6HLWljOP","Cw4SuJJGHO","T2fj7uvVaJ","D309nIvmXG","gub5Cegaqo","dfKe02y8D2","xD69zh8xqp"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","fu6greOZ01","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DpFCA1CohY","IWmyXbctLI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","FU0Cs4j7VP","JclMnS0uGI"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9502","layer":4},{"info":"compute unary expreesion, input=9502, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2879","layer":4},{"info":"compute unary expreesion, input=2879, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=2697","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=2697, right_input=4575, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1855, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1234","layer":1},{"info":"number node, value=2904","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=1567, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=5012","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=5012, right_input=1281, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-752901","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-752901, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-3010656","layer":2},{"info":"compute unary expreesion, input=-3010656, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-6022958","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-6022958, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⊥⫏≰111000221)⪃⊛⇣(⨙⪌⫏≰10221122)⫞⩸⩒((⫏≰10200220↳∿⪆⫏≰20021110)↢(⫏≰2022101⋓⫏≰2112201))⨽∌(∓⪦(⫏≰10222120⫚↹⊑⫏≰2011001)⩁⩘(⫏≰20212122⪪⫏≰1202110))=⫏≰0","reverse_text":"⫏≰0=(⊥⫏≰111000221)⪃⊛⇣(⨙⪌⫏≰10221122)⫞⩸⩒((⫏≰10200220↳∿⪆⫏≰20021110)↢(⫏≰2022101⋓⫏≰2112201))⨽∌(∓⪦(⫏≰10222120⫚↹⊑⫏≰2011001)⩁⩘(⫏≰20212122⪪⫏≰1202110))","cot":[{"info":"⊥⫏≰111000221=NaN","layer":3},{"info":"⨙⪌⫏≰10221122=⫏≰1012011","layer":3},{"info":"NaN⪃⊛⇣⫏≰1012011=⫏≰1200201","layer":2},{"info":"⫏≰10200220↳∿⪆⫏≰20021110=NaN","layer":3},{"info":"⫏≰2022101⋓⫏≰2112201=⫏≰0","layer":3},{"info":"NaN↢⫏≰0=NaN","layer":2},{"info":"⫏≰1200201⫞⩸⩒NaN=⫏≰1200201","layer":1},{"info":"⫏≰10222120⫚↹⊑⫏≰2011001=⫏≰-121120","layer":3},{"info":"⫏≰20212122⪪⫏≰1202110=⫏≰-1102020210020","layer":3},{"info":"⫏≰-121120⩁⩘⫏≰-1102020210020=⫏≰-12122221211210","layer":2},{"info":"∓⪦⫏≰-12122221211210=⫏≰-102022222221112","layer":1},{"info":"⫏≰1200201⨽∌⫏≰-102022222221112=⫏≰0","layer":0}]}
{"id":381,"expression_no_base_symbol":"(($3922$⊨$2068$↬⩅∪)⫔⩽⩺($3584$≀⫉$1423$)⪘⫢$2872$↓$2335$)⨔≚≋(∓((⨮↦↱$3014$)⫿))","expression":"((⫏≰12101021⊨⫏≰2211121↬⩅∪)⫔⩽⩺(⫏≰11220202≀⫉⫏≰1221201)⪘⫢⫏≰10221101↓⫏≰10012111)⨔≚≋(∓((⨮↦↱⫏≰11010122)⫿))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":237321,"operation_count":10,"complexity_ratio":23732.1,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3922,"base":3},"right_expr":{"type":"numeric_atoms","value":2068,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3584,"base":3},"right_expr":{"type":"numeric_atoms","value":1423,"base":3}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2872,"base":3},"right_expr":{"type":"numeric_atoms","value":2335,"base":3}}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3014,"base":3}}}}},"used_operators":["Z57zeUYC9z","i9eR4S00cU","VJ330n2nnx","vg4gO5BX6G","oacrs7FA3X","oZj3VtZNQx","Af076pWI7l","OwUj7dcsQK","9tKT6PmtkH","sYcpBQ0cFf"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Tw270M8GLb","fu6greOZ01","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3922","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=2068, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=16719","layer":3},{"info":"compute unary expreesion, input=16719, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-50157","layer":2},{"info":"number node, value=3584","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=3584, right_input=1423, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2872","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=2335, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-134, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-50157, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=3014","layer":4},{"info":"compute unary expreesion, input=3014, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-19076586","layer":3},{"info":"compute unary expreesion, input=-19076586, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=38153172","layer":2},{"info":"compute unary expreesion, input=38153172, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-572302452","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-572302452, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12101021⊨⫏≰2211121↬⩅∪)⫔⩽⩺(⫏≰11220202≀⫉⫏≰1221201)⪘⫢⫏≰10221101↓⫏≰10012111)⨔≚≋(∓((⨮↦↱⫏≰11010122)⫿))=NaN","reverse_text":"NaN=((⫏≰12101021⊨⫏≰2211121↬⩅∪)⫔⩽⩺(⫏≰11220202≀⫉⫏≰1221201)⪘⫢⫏≰10221101↓⫏≰10012111)⨔≚≋(∓((⨮↦↱⫏≰11010122)⫿))","cot":[{"info":"⫏≰12101021⊨⫏≰2211121=⫏≰211221020","layer":3},{"info":"⫏≰211221020↬⩅∪=⫏≰-2112210200","layer":2},{"info":"⫏≰11220202≀⫉⫏≰1221201=⫏≰10212112","layer":3},{"info":"⫏≰10221101↓⫏≰10012111=⫏≰-11222","layer":3},{"info":"⫏≰10212112⪘⫢⫏≰-11222=⫏≰0","layer":2},{"info":"⫏≰-2112210200⫔⩽⩺⫏≰0=NaN","layer":1},{"info":"⨮↦↱⫏≰11010122=⫏≰-1022220012011020","layer":3},{"info":"⫏≰-1022220012011020⫿=⫏≰2122210101022110","layer":2},{"info":"∓⫏≰2122210101022110=⫏≰-1110212212222101010","layer":1},{"info":"NaN⨔≚≋⫏≰-1110212212222101010=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"($1671$⋥⋵⩄$2133$)⪎↠($1120$⊠≄⫣)⪨⊡(≛$2923$⫢⨠$4914$)∖($3599$⊴$2693$)⨂≜($2054$⇄$9187$)≝⊿($8545$⨐$2297$⩵∡$1903$⨥⫆$1821$)","expression":"(⫏≰2021220⋥⋵⩄⫏≰2221000)⪎↠(⫏≰1112111⊠≄⫣)⪨⊡(≛⫏≰11000021⫢⨠⫏≰20202000)∖(⫏≰11221022⊴⫏≰10200202)⨂≜(⫏≰2211002⇄⫏≰110121021)≝⊿(⫏≰102201111⨐⫏≰10011002⩵∡⫏≰2121111⨥⫆⫏≰2111110)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7948,"operation_count":14,"complexity_ratio":567.7142857142857,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1671,"base":3},"right_expr":{"type":"numeric_atoms","value":2133,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1120,"base":3}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2923,"base":3},"right_expr":{"type":"numeric_atoms","value":4914,"base":3}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3599,"base":3},"right_expr":{"type":"numeric_atoms","value":2693,"base":3}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2054,"base":3},"right_expr":{"type":"numeric_atoms","value":9187,"base":3}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":8545,"base":3},"right_expr":{"type":"numeric_atoms","value":2297,"base":3}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1903,"base":3},"right_expr":{"type":"numeric_atoms","value":1821,"base":3}}}}},"used_operators":["tXD093vOjl","kuIXHzHcAH","3tVxb0NHM4","7t3wd0Fuz7","DIvbN7qnHd","W7eaUhjymW","xlXykHWxX1","OKKcZfAt5B","k1SHOSEABc","Nsiff2A1zJ","3EYGwJThht","Y7wcNGrDQJ","Noe24qw2ks","yXekIHxTD4"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","12rbrZMWeM","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1671","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=2133, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1120","layer":4},{"info":"compute unary expreesion, input=1120, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=981","layer":2},{"info":"number node, value=2923","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=4914, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, 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":2},{"info":"compute binary expreesion, left_input=981, right_input=-10, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=829","layer":1},{"info":"number node, value=3599","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=2693, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2054","layer":4},{"info":"number node, value=9187","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=9187, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=8545","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=8545, right_input=2297, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-17090","layer":3},{"info":"number node, value=1903","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=1821, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3518","layer":3},{"info":"compute binary expreesion, left_input=-17090, right_input=3518, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=54667","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=54667, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=829, right_input=nan, 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":3,"result_base":3,"text":"(⫏≰2021220⋥⋵⩄⫏≰2221000)⪎↠(⫏≰1112111⊠≄⫣)⪨⊡(≛⫏≰11000021⫢⨠⫏≰20202000)∖(⫏≰11221022⊴⫏≰10200202)⨂≜(⫏≰2211002⇄⫏≰110121021)≝⊿(⫏≰102201111⨐⫏≰10011002⩵∡⫏≰2121111⨥⫆⫏≰2111110)=⫏≰0","reverse_text":"⫏≰0=(⫏≰2021220⋥⋵⩄⫏≰2221000)⪎↠(⫏≰1112111⊠≄⫣)⪨⊡(≛⫏≰11000021⫢⨠⫏≰20202000)∖(⫏≰11221022⊴⫏≰10200202)⨂≜(⫏≰2211002⇄⫏≰110121021)≝⊿(⫏≰102201111⨐⫏≰10011002⩵∡⫏≰2121111⨥⫆⫏≰2111110)","cot":[{"info":"⫏≰2021220⋥⋵⩄⫏≰2221000=⫏≰11012","layer":3},{"info":"⫏≰1112111⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰11012⪎↠⫏≰0=⫏≰1100100","layer":2},{"info":"⫏≰11000021⫢⨠⫏≰20202000=⫏≰12221","layer":3},{"info":"≛⫏≰12221=⫏≰-101","layer":2},{"info":"⫏≰1100100⪨⊡⫏≰-101=⫏≰1010201","layer":1},{"info":"⫏≰11221022⊴⫏≰10200202=NaN","layer":3},{"info":"⫏≰2211002⇄⫏≰110121021=⫏≰0","layer":3},{"info":"NaN⨂≜⫏≰0=NaN","layer":2},{"info":"⫏≰102201111⨐⫏≰10011002=⫏≰-212102222","layer":3},{"info":"⫏≰2121111⨥⫆⫏≰2111110=⫏≰11211022","layer":3},{"info":"⫏≰-212102222⩵∡⫏≰11211022=⫏≰2202222201","layer":2},{"info":"NaN≝⊿⫏≰2202222201=NaN","layer":1},{"info":"⫏≰1010201∖NaN=⫏≰0","layer":0}]}
{"id":383,"expression_no_base_symbol":"(⇖⫷⫕(($1822$⇼⇔∾$8862$)⪶≀⋏($5372$∑⇟⊟$1017$)))⊹∫⫚($3753$↓$1452$⨳⩥⨓$4029$∊∟⩊$1202$∙⊟($1173$⪄$2079$⪁$2732$⊲⩕⊾$1874$))","expression":"(⇖⫷⫕((⫏≰2111111⇼⇔∾⫏≰110011020)⪶≀⋏(⫏≰21100222∑⇟⊟⫏≰1101200)))⊹∫⫚(⫏≰12011000↓⫏≰1222210⨳⩥⨓⫏≰12112020∊∟⩊⫏≰1122112∙⊟(⫏≰1121110⪄⫏≰2212000⪁⫏≰10202012⊲⩕⊾⫏≰2120102))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":260268,"operation_count":12,"complexity_ratio":21689.0,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1822,"base":3},"right_expr":{"type":"numeric_atoms","value":8862,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5372,"base":3},"right_expr":{"type":"numeric_atoms","value":1017,"base":3}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3753,"base":3},"right_expr":{"type":"numeric_atoms","value":1452,"base":3}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4029,"base":3},"right_expr":{"type":"numeric_atoms","value":1202,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1173,"base":3},"right_expr":{"type":"numeric_atoms","value":2079,"base":3}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2732,"base":3},"right_expr":{"type":"numeric_atoms","value":1874,"base":3}}}}},"used_operators":["uWAJUKEvyW","UHmRx3INFg","zR4jO40bMj","tifHPKVTfV","U7g4x0WXJJ","SxTAKzQCrw","nCS4ZIUYfx","Af076pWI7l","ddLRYrp01A","I7sXao9hZE","SUmda5xLS4","DmTXOeWf9t"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⫏≰-1122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1822","layer":4},{"info":"number node, value=8862","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=8862, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7040","layer":3},{"info":"number node, value=5372","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=5372, right_input=1017, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7040, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=3753","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=1452, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=4029","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=4029, right_input=1202, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1202","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=1202, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1336","layer":2},{"info":"number node, value=1173","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2079, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-178009","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=1874, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-59082","layer":3},{"info":"compute binary expreesion, left_input=-178009, right_input=-59082, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1336, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=27214","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=27214, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-44","layer":0}],"base":3,"result_base":3,"text":"(⇖⫷⫕((⫏≰2111111⇼⇔∾⫏≰110011020)⪶≀⋏(⫏≰21100222∑⇟⊟⫏≰1101200)))⊹∫⫚(⫏≰12011000↓⫏≰1222210⨳⩥⨓⫏≰12112020∊∟⩊⫏≰1122112∙⊟(⫏≰1121110⪄⫏≰2212000⪁⫏≰10202012⊲⩕⊾⫏≰2120102))=⫏≰-1122","reverse_text":"⫏≰-1122=(⇖⫷⫕((⫏≰2111111⇼⇔∾⫏≰110011020)⪶≀⋏(⫏≰21100222∑⇟⊟⫏≰1101200)))⊹∫⫚(⫏≰12011000↓⫏≰1222210⨳⩥⨓⫏≰12112020∊∟⩊⫏≰1122112∙⊟(⫏≰1121110⪄⫏≰2212000⪁⫏≰10202012⊲⩕⊾⫏≰2120102))","cot":[{"info":"⫏≰2111111⇼⇔∾⫏≰110011020=⫏≰100122202","layer":3},{"info":"⫏≰21100222∑⇟⊟⫏≰1101200=NaN","layer":3},{"info":"⫏≰100122202⪶≀⋏NaN=NaN","layer":2},{"info":"⇖⫷⫕NaN=⫏≰10212112","layer":1},{"info":"⫏≰12011000↓⫏≰1222210=⫏≰-11222","layer":3},{"info":"⫏≰12112020∊∟⩊⫏≰1122112=⫏≰1122112","layer":3},{"info":"⫏≰-11222⨳⩥⨓⫏≰1122112=⫏≰1211111","layer":2},{"info":"⫏≰1121110⪄⫏≰2212000=⫏≰-100001011221","layer":3},{"info":"⫏≰10202012⊲⩕⊾⫏≰2120102=⫏≰-10000001020","layer":3},{"info":"⫏≰-100001011221⪁⫏≰-10000001020=NaN","layer":2},{"info":"⫏≰1211111∙⊟NaN=⫏≰1101022221","layer":1},{"info":"⫏≰10212112⊹∫⫚⫏≰1101022221=⫏≰-1122","layer":0}]}
{"id":384,"expression_no_base_symbol":"(($5225$≃$6239$)⨓($5820$∲⫓$2540$)⨭⪣(⨂⪏⇭$6447$)⨔≚≋$1142$∀⇚≩$7832$)≚⊃≕($2600$⨥⫆$1221$⨟⋌⩍($2077$≥⨤⩑$1150$))∺≝⩲($2013$⨎$1191$⋻⩜⩜$1804$∌$8493$)","expression":"((⫏≰21011112≃⫏≰22120002)⨓(⫏≰21222120∲⫓⫏≰10111002)⨭⪣(⨂⪏⇭⫏≰22211210)⨔≚≋⫏≰1120022∀⇚≩⫏≰101202002)≚⊃≕(⫏≰10120022⨥⫆⫏≰1200020⨟⋌⩍(⫏≰2211221≥⨤⩑⫏≰1120121))∺≝⩲(⫏≰2202120⨎⫏≰1122010⋻⩜⩜⫏≰2110211∌⫏≰102122120)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":127083,"operation_count":15,"complexity_ratio":8472.2,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5225,"base":3},"right_expr":{"type":"numeric_atoms","value":6239,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5820,"base":3},"right_expr":{"type":"numeric_atoms","value":2540,"base":3}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":6447,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1142,"base":3},"right_expr":{"type":"numeric_atoms","value":7832,"base":3}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2600,"base":3},"right_expr":{"type":"numeric_atoms","value":1221,"base":3}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2077,"base":3},"right_expr":{"type":"numeric_atoms","value":1150,"base":3}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2013,"base":3},"right_expr":{"type":"numeric_atoms","value":1191,"base":3}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1804,"base":3},"right_expr":{"type":"numeric_atoms","value":8493,"base":3}}}}},"used_operators":["Bmrmz2XGnR","kn8WO9XteQ","3ViojmjbAp","YbVcJGFEVW","i8ToyICDmI","Z57zeUYC9z","AYdpE9sXAk","LRNGc0VcxI","KPf6cnQVty","rGHVDoGpnC","yXekIHxTD4","gJLn6v0xnP","oDCm7WA9JY","rJVOvQCfKK","8cLx32lpNA"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","X99M06cbEe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Tcnh7f0tEr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⫏≰-12111211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5225","layer":4},{"info":"number node, value=6239","layer":4},{"info":"compute binary expreesion, left_input=5225, right_input=6239, 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=-20940","layer":3},{"info":"number node, value=5820","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=5820, right_input=2540, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-20940, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=6447","layer":4},{"info":"compute unary expreesion, input=6447, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=18362","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=7832","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=7832, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18362, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"number node, value=2600","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=2600, right_input=1221, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2318","layer":3},{"info":"number node, value=2077","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=1150, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2318, right_input=1234, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2013","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=1191, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1191","layer":3},{"info":"number node, value=1804","layer":4},{"info":"number node, value=8493","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=8493, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8493","layer":3},{"info":"compute binary expreesion, left_input=1191, right_input=-8493, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2382","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2382, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=160, 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=-4018","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21011112≃⫏≰22120002)⨓(⫏≰21222120∲⫓⫏≰10111002)⨭⪣(⨂⪏⇭⫏≰22211210)⨔≚≋⫏≰1120022∀⇚≩⫏≰101202002)≚⊃≕(⫏≰10120022⨥⫆⫏≰1200020⨟⋌⩍(⫏≰2211221≥⨤⩑⫏≰1120121))∺≝⩲(⫏≰2202120⨎⫏≰1122010⋻⩜⩜⫏≰2110211∌⫏≰102122120)=⫏≰-12111211","reverse_text":"⫏≰-12111211=((⫏≰21011112≃⫏≰22120002)⨓(⫏≰21222120∲⫓⫏≰10111002)⨭⪣(⨂⪏⇭⫏≰22211210)⨔≚≋⫏≰1120022∀⇚≩⫏≰101202002)≚⊃≕(⫏≰10120022⨥⫆⫏≰1200020⨟⋌⩍(⫏≰2211221≥⨤⩑⫏≰1120121))∺≝⩲(⫏≰2202120⨎⫏≰1122010⋻⩜⩜⫏≰2110211∌⫏≰102122120)","cot":[{"info":"⫏≰21011112≃⫏≰22120002=⫏≰-1001201120","layer":3},{"info":"⫏≰21222120∲⫓⫏≰10111002=⫏≰0","layer":3},{"info":"⫏≰-1001201120⨓⫏≰0=NaN","layer":2},{"info":"⨂⪏⇭⫏≰22211210=⫏≰221012002","layer":3},{"info":"⫏≰1120022∀⇚≩⫏≰101202002=NaN","layer":3},{"info":"⫏≰221012002⨔≚≋NaN=NaN","layer":2},{"info":"NaN⨭⪣NaN=⫏≰-210","layer":1},{"info":"⫏≰10120022⨥⫆⫏≰1200020=⫏≰10011212","layer":3},{"info":"⫏≰2211221≥⨤⩑⫏≰1120121=⫏≰1200201","layer":3},{"info":"⫏≰10011212⨟⋌⩍⫏≰1200201=NaN","layer":2},{"info":"⫏≰2202120⨎⫏≰1122010=⫏≰1122010","layer":3},{"info":"⫏≰2110211∌⫏≰102122120=⫏≰-102122120","layer":3},{"info":"⫏≰1122010⋻⩜⩜⫏≰-102122120=⫏≰10021020","layer":2},{"info":"NaN∺≝⩲⫏≰10021020=⫏≰12221","layer":1},{"info":"⫏≰-210≚⊃≕⫏≰12221=⫏≰-12111211","layer":0}]}
{"id":385,"expression_no_base_symbol":"(($4069$↸$5001$)⋝⋈⪟($2049$⩺⪪$1227$)⫸⇳$3795$⋣⋖$1838$⪛($6709$⇣⩺⋵$2733$))↳∿⪆((⋠∜($3343$+⪬∐$3088$))⫔⩽⩺(⪫⨮⊛$2605$)⇂≾⫗($4499$⫳≱↱$7559$))","expression":"((⫏≰12120201↸⫏≰20212020)⋝⋈⪟(⫏≰2210220⩺⪪⫏≰1200110)⫸⇳⫏≰12012120⋣⋖⫏≰2112002⪛(⫏≰100012111⇣⩺⋵⫏≰10202020))↳∿⪆((⋠∜(⫏≰11120211+⪬∐⫏≰11020101))⫔⩽⩺(⪫⨮⊛⫏≰10120111)⇂≾⫗(⫏≰20011122⫳≱↱⫏≰101100222))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1576340,"operation_count":14,"complexity_ratio":112595.71428571429,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4069,"base":3},"right_expr":{"type":"numeric_atoms","value":5001,"base":3}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2049,"base":3},"right_expr":{"type":"numeric_atoms","value":1227,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3795,"base":3},"right_expr":{"type":"numeric_atoms","value":1838,"base":3}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6709,"base":3},"right_expr":{"type":"numeric_atoms","value":2733,"base":3}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3343,"base":3},"right_expr":{"type":"numeric_atoms","value":3088,"base":3}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2605,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4499,"base":3},"right_expr":{"type":"numeric_atoms","value":7559,"base":3}}}}},"used_operators":["Cw4SuJJGHO","gx7XJ7hdpj","2DDjHMKMc0","1eCjFl0mb9","uvdQJvN4PV","uFcxV4UQCh","J0M6qkBnIM","F4yD0voBRQ","i9eR4S00cU","ZJpFhNJr3x","2GS7woTJqF","aBQ6xLxuTc","w5FWba1tyO","ZvLB05nZmT"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Tw270M8GLb","fu6greOZ01","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","g55IO6H4Gj","D4vGDi5EA2","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4069","layer":4},{"info":"number node, value=5001","layer":4},{"info":"compute binary expreesion, left_input=4069, right_input=5001, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4069","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1227, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-14050","layer":3},{"info":"compute binary expreesion, left_input=4069, right_input=-14050, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4069","layer":2},{"info":"number node, value=3795","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=3795, right_input=1838, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3795","layer":3},{"info":"number node, value=6709","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=6709, right_input=2733, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=3795, right_input=-260, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-105","layer":2},{"info":"compute binary expreesion, left_input=4069, right_input=-105, 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=3343","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=3088, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10029","layer":3},{"info":"compute unary expreesion, input=-10029, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-37832","layer":2},{"info":"number node, value=2605","layer":4},{"info":"compute unary expreesion, input=2605, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=4499","layer":4},{"info":"number node, value=7559","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=7559, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-37832, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12120201↸⫏≰20212020)⋝⋈⪟(⫏≰2210220⩺⪪⫏≰1200110)⫸⇳⫏≰12012120⋣⋖⫏≰2112002⪛(⫏≰100012111⇣⩺⋵⫏≰10202020))↳∿⪆((⋠∜(⫏≰11120211+⪬∐⫏≰11020101))⫔⩽⩺(⪫⨮⊛⫏≰10120111)⇂≾⫗(⫏≰20011122⫳≱↱⫏≰101100222))=NaN","reverse_text":"NaN=((⫏≰12120201↸⫏≰20212020)⋝⋈⪟(⫏≰2210220⩺⪪⫏≰1200110)⫸⇳⫏≰12012120⋣⋖⫏≰2112002⪛(⫏≰100012111⇣⩺⋵⫏≰10202020))↳∿⪆((⋠∜(⫏≰11120211+⪬∐⫏≰11020101))⫔⩽⩺(⪫⨮⊛⫏≰10120111)⇂≾⫗(⫏≰20011122⫳≱↱⫏≰101100222))","cot":[{"info":"⫏≰12120201↸⫏≰20212020=⫏≰12120201","layer":3},{"info":"⫏≰2210220⩺⪪⫏≰1200110=⫏≰-201021101","layer":3},{"info":"⫏≰12120201⋝⋈⪟⫏≰-201021101=⫏≰12120201","layer":2},{"info":"⫏≰12012120⋣⋖⫏≰2112002=⫏≰12012120","layer":3},{"info":"⫏≰100012111⇣⩺⋵⫏≰10202020=⫏≰-100122","layer":3},{"info":"⫏≰12012120⪛⫏≰-100122=⫏≰-10220","layer":2},{"info":"⫏≰12120201⫸⇳⫏≰-10220=⫏≰0","layer":1},{"info":"⫏≰11120211+⪬∐⫏≰11020101=⫏≰-111202110","layer":3},{"info":"⋠∜⫏≰-111202110=⫏≰-1220220012","layer":2},{"info":"⪫⨮⊛⫏≰10120111=NaN","layer":3},{"info":"⫏≰20011122⫳≱↱⫏≰101100222=⫏≰-21120","layer":3},{"info":"NaN⇂≾⫗⫏≰-21120=NaN","layer":2},{"info":"⫏≰-1220220012⫔⩽⩺NaN=NaN","layer":1},{"info":"⫏≰0↳∿⪆NaN=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(($1625$%$1304$)⊓⋫)⨸(⇋⊎⋝($5756$≃$2809$))⊍⩺⋍((⨦⪝($6366$⊾⪯⋞$6642$))⇋≉)","expression":"((⫏≰2020012%⫏≰1210022)⊓⋫)⨸(⇋⊎⋝(⫏≰21220012≃⫏≰10212001))⊍⩺⋍((⨦⪝(⫏≰22201210⊾⪯⋞⫏≰100010000))⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23972,"operation_count":9,"complexity_ratio":2663.5555555555557,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1625,"base":3},"right_expr":{"type":"numeric_atoms","value":1304,"base":3}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5756,"base":3},"right_expr":{"type":"numeric_atoms","value":2809,"base":3}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":6366,"base":3},"right_expr":{"type":"numeric_atoms","value":6642,"base":3}}}}},"used_operators":["OXDGMFPWZM","KmoU8R5UQR","IqGBaFP0uj","k8jYdgA6NY","CzM2PEoXns","YbVcJGFEVW","XIabStNQrY","SUjycxNXIR","HK0tfVPux8"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=1304, op_id = k8jYdgA6NY binary_op_definition= 'None', output=321","layer":3},{"info":"compute unary expreesion, input=321, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-449","layer":2},{"info":"number node, value=5756","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=5756, right_input=2809, 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=-23064","layer":3},{"info":"compute unary expreesion, input=-23064, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-449, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=898","layer":1},{"info":"number node, value=6366","layer":4},{"info":"number node, value=6642","layer":4},{"info":"compute binary expreesion, left_input=6366, right_input=6642, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=12858","layer":3},{"info":"compute unary expreesion, input=12858, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute unary expreesion, input=-1884, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-3866","layer":1},{"info":"compute binary expreesion, left_input=898, right_input=-3866, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2020012%⫏≰1210022)⊓⋫)⨸(⇋⊎⋝(⫏≰21220012≃⫏≰10212001))⊍⩺⋍((⨦⪝(⫏≰22201210⊾⪯⋞⫏≰100010000))⇋≉)=NaN","reverse_text":"NaN=((⫏≰2020012%⫏≰1210022)⊓⋫)⨸(⇋⊎⋝(⫏≰21220012≃⫏≰10212001))⊍⩺⋍((⨦⪝(⫏≰22201210⊾⪯⋞⫏≰100010000))⇋≉)","cot":[{"info":"⫏≰2020012%⫏≰1210022=⫏≰102220","layer":3},{"info":"⫏≰102220⊓⋫=⫏≰-121122","layer":2},{"info":"⫏≰21220012≃⫏≰10212001=⫏≰-1011122020","layer":3},{"info":"⇋⊎⋝⫏≰-1011122020=NaN","layer":2},{"info":"⫏≰-121122⨸NaN=⫏≰1020021","layer":1},{"info":"⫏≰22201210⊾⪯⋞⫏≰100010000=⫏≰122122020","layer":3},{"info":"⨦⪝⫏≰122122020=⫏≰-2120210","layer":2},{"info":"⫏≰-2120210⇋≉=⫏≰-12022012","layer":1},{"info":"⫏≰1020021⊍⩺⋍⫏≰-12022012=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"(($1458$+⇶⊼$5322$⫡⨏$5071$⋝⋈⪟$3317$)⩹($1118$⋣⋖$2409$)⇍⊗$4516$⨼⩣$1772$)⊴((⨵≀≌$5542$∌$1449$)∝($1189$⨚$1102$)⨚$1787$≦↸$1306$)","expression":"((⫏≰2000000+⇶⊼⫏≰21022010⫡⨏⫏≰20221211⋝⋈⪟⫏≰11112212)⩹(⫏≰1112102⋣⋖⫏≰10022020)⇍⊗⫏≰20012021⨼⩣⫏≰2102122)⊴((⨵≀≌⫏≰21121021∌⫏≰1222200)∝(⫏≰1122001⨚⫏≰1111211)⨚⫏≰2110012≦↸⫏≰1210101)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1967,"operation_count":14,"complexity_ratio":140.5,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1458,"base":3},"right_expr":{"type":"numeric_atoms","value":5322,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5071,"base":3},"right_expr":{"type":"numeric_atoms","value":3317,"base":3}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1118,"base":3},"right_expr":{"type":"numeric_atoms","value":2409,"base":3}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4516,"base":3},"right_expr":{"type":"numeric_atoms","value":1772,"base":3}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5542,"base":3},"right_expr":{"type":"numeric_atoms","value":1449,"base":3}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1189,"base":3},"right_expr":{"type":"numeric_atoms","value":1102,"base":3}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1787,"base":3},"right_expr":{"type":"numeric_atoms","value":1306,"base":3}}}}},"used_operators":["Nsiff2A1zJ","2Wsdkap16l","QMFrweE19q","TpPTUOHfaN","2DDjHMKMc0","5uvYHDjeKN","J0M6qkBnIM","JxwMv5le6e","cTDWOvIxvz","srAu1WTS94","8cLx32lpNA","nREPSIbpBE","RygbFNSyEJ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","7j4O788W3g","W4YGzv6Whe","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1458","layer":4},{"info":"number node, value=5322","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=5322, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5071","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=5071, right_input=3317, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5071","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5071, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=1118","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=2409, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1118","layer":3},{"info":"number node, value=4516","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=4516, right_input=1772, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1118, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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=nan","layer":1},{"info":"number node, value=5542","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=5542, right_input=1449, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1449","layer":3},{"info":"compute unary expreesion, input=-1449, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=2099601","layer":2},{"info":"number node, value=1189","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1102, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1096","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1306, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5505","layer":3},{"info":"compute binary expreesion, left_input=-1096, right_input=-5505, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=20762","layer":2},{"info":"compute binary expreesion, left_input=2099601, right_input=20762, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2099606","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2099606, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2000000+⇶⊼⫏≰21022010⫡⨏⫏≰20221211⋝⋈⪟⫏≰11112212)⩹(⫏≰1112102⋣⋖⫏≰10022020)⇍⊗⫏≰20012021⨼⩣⫏≰2102122)⊴((⨵≀≌⫏≰21121021∌⫏≰1222200)∝(⫏≰1122001⨚⫏≰1111211)⨚⫏≰2110012≦↸⫏≰1210101)=NaN","reverse_text":"NaN=((⫏≰2000000+⇶⊼⫏≰21022010⫡⨏⫏≰20221211⋝⋈⪟⫏≰11112212)⩹(⫏≰1112102⋣⋖⫏≰10022020)⇍⊗⫏≰20012021⨼⩣⫏≰2102122)⊴((⨵≀≌⫏≰21121021∌⫏≰1222200)∝(⫏≰1122001⨚⫏≰1111211)⨚⫏≰2110012≦↸⫏≰1210101)","cot":[{"info":"⫏≰2000000+⇶⊼⫏≰21022010=NaN","layer":3},{"info":"⫏≰20221211⋝⋈⪟⫏≰11112212=⫏≰20221211","layer":3},{"info":"NaN⫡⨏⫏≰20221211=NaN","layer":2},{"info":"⫏≰1112102⋣⋖⫏≰10022020=⫏≰1112102","layer":3},{"info":"⫏≰20012021⨼⩣⫏≰2102122=NaN","layer":3},{"info":"⫏≰1112102⇍⊗NaN=NaN","layer":2},{"info":"NaN⩹NaN=NaN","layer":1},{"info":"⫏≰21121021∌⫏≰1222200=⫏≰-1222200","layer":3},{"info":"⨵≀≌⫏≰-1222200=⫏≰10221200010000","layer":2},{"info":"⫏≰1122001⨚⫏≰1111211=⫏≰-1111121","layer":3},{"info":"⫏≰2110012≦↸⫏≰1210101=⫏≰-21112220","layer":3},{"info":"⫏≰-1111121⨚⫏≰-21112220=⫏≰1001110222","layer":2},{"info":"⫏≰10221200010000∝⫏≰1001110222=⫏≰10221200010012","layer":1},{"info":"NaN⊴⫏≰10221200010012=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"($1182$⪨≂$4885$)⩘$1134$⋹⋡⊁$1204$⊨(($1103$⫍⨯↯)⨸⪁$7605$⨔⇊$1668$)≬⋮($1519$⪃⊛⇣$5689$≃⋄)⪥($3209$⋥⋵⩄$4585$⩘)","expression":"(⫏≰1121210⪨≂⫏≰20200221)⩘⫏≰1120000⋹⋡⊁⫏≰1122121⊨((⫏≰1111212⫍⨯↯)⨸⪁⫏≰101102200⨔⇊⫏≰2021210)≬⋮(⫏≰2002021⪃⊛⇣⫏≰21210201≃⋄)⪥(⫏≰11101212⋥⋵⩄⫏≰20021211⩘)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":85242,"operation_count":13,"complexity_ratio":6557.076923076923,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1182,"base":3},"right_expr":{"type":"numeric_atoms","value":4885,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1134,"base":3},"right_expr":{"type":"numeric_atoms","value":1204,"base":3}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1103,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":7605,"base":3},"right_expr":{"type":"numeric_atoms","value":1668,"base":3}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1519,"base":3},"right_expr":{"type":"numeric_atoms","value":5689,"base":3}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3209,"base":3},"right_expr":{"type":"numeric_atoms","value":4585,"base":3}}}}},"used_operators":["kbkesczE7y","vg4gO5BX6G","cHh1gJQ2o6","sdazOOVcIp","As8RqfVLgs","g55IO6H4Gj","ZcwmYACASQ","JclMnS0uGI","QbnwKVWMIQ","aN9a90urxU","rrgAzCduG9","wvHyciQT5X","7t3wd0Fuz7"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","uFcxV4UQCh","jLgFTUHLKL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9ICcGScMcE","dfKe02y8D2","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"⫏≰1012011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1182","layer":4},{"info":"number node, value=4885","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=4885, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7304","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=1204, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1954","layer":3},{"info":"compute binary expreesion, left_input=-7304, right_input=1954, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1070","layer":3},{"info":"number node, value=7605","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=7605, right_input=1668, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1668","layer":3},{"info":"compute binary expreesion, left_input=1070, right_input=1668, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5476","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=5476, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"number node, value=1519","layer":4},{"info":"number node, value=5689","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=5689, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":2},{"info":"number node, value=3209","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=4585, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=764, right_input=67, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-116, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1121210⪨≂⫏≰20200221)⩘⫏≰1120000⋹⋡⊁⫏≰1122121⊨((⫏≰1111212⫍⨯↯)⨸⪁⫏≰101102200⨔⇊⫏≰2021210)≬⋮(⫏≰2002021⪃⊛⇣⫏≰21210201≃⋄)⪥(⫏≰11101212⋥⋵⩄⫏≰20021211⩘)=⫏≰1012011","reverse_text":"⫏≰1012011=(⫏≰1121210⪨≂⫏≰20200221)⩘⫏≰1120000⋹⋡⊁⫏≰1122121⊨((⫏≰1111212⫍⨯↯)⨸⪁⫏≰101102200⨔⇊⫏≰2021210)≬⋮(⫏≰2002021⪃⊛⇣⫏≰21210201≃⋄)⪥(⫏≰11101212⋥⋵⩄⫏≰20021211⩘)","cot":[{"info":"⫏≰1121210⪨≂⫏≰20200221=⫏≰-101000112","layer":3},{"info":"⫏≰1120000⋹⋡⊁⫏≰1122121=⫏≰2200101","layer":3},{"info":"⫏≰-101000112⩘⫏≰2200101=⫏≰12221","layer":2},{"info":"⫏≰1111212⫍⨯↯=⫏≰1110122","layer":3},{"info":"⫏≰101102200⨔⇊⫏≰2021210=⫏≰2021210","layer":3},{"info":"⫏≰1110122⨸⪁⫏≰2021210=⫏≰21111211","layer":2},{"info":"⫏≰12221⊨⫏≰21111211=⫏≰-20110","layer":1},{"info":"⫏≰2002021⪃⊛⇣⫏≰21210201=⫏≰1200201","layer":3},{"info":"⫏≰1200201≃⋄=⫏≰1001022","layer":2},{"info":"⫏≰11101212⋥⋵⩄⫏≰20021211=⫏≰11012","layer":3},{"info":"⫏≰11012⩘=⫏≰2111","layer":2},{"info":"⫏≰1001022⪥⫏≰2111=⫏≰-11022","layer":1},{"info":"⫏≰-20110≬⋮⫏≰-11022=⫏≰1012011","layer":0}]}
{"id":389,"expression_no_base_symbol":"((↘($5640$⋷$6939$))⋻⩜⩜$1387$≦↸$1797$⪄($6993$⊊))∇⊂⋱(($2766$⋓$7388$)⫒⫫($4715$↓⨍⋜)⫥∨⫟($1645$≃$2365$⨭⪣$1247$≁↽≥$5958$))","expression":"((↘(⫏≰21201220⋷⫏≰100112000))⋻⩜⩜⫏≰1220101≦↸⫏≰2110120⪄(⫏≰100121000⊊))∇⊂⋱((⫏≰10210110⋓⫏≰101010122)⫒⫫(⫏≰20110122↓⨍⋜)⫥∨⫟(⫏≰2020221≃⫏≰10020121⨭⪣⫏≰1201012≁↽≥⫏≰22011200))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1016,"operation_count":14,"complexity_ratio":72.57142857142857,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5640,"base":3},"right_expr":{"type":"numeric_atoms","value":6939,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1387,"base":3},"right_expr":{"type":"numeric_atoms","value":1797,"base":3}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":6993,"base":3}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2766,"base":3},"right_expr":{"type":"numeric_atoms","value":7388,"base":3}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":4715,"base":3}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1645,"base":3},"right_expr":{"type":"numeric_atoms","value":2365,"base":3}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1247,"base":3},"right_expr":{"type":"numeric_atoms","value":5958,"base":3}}}}},"used_operators":["nhYeJWJD5X","oDCm7WA9JY","LdNpr8hQHL","23Mk6UjR3U","SUmda5xLS4","RygbFNSyEJ","W9R8I5fN5A","KYD54nUTWz","6Ko8hGgeMq","T2fj7uvVaJ","3DVzLFNsE9","kn8WO9XteQ","YbVcJGFEVW","ncHt1X6cMc"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","uFcxV4UQCh","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","8HhzD0ZcuI","rGHVDoGpnC","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⫏≰11110112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5640","layer":4},{"info":"number node, value=6939","layer":4},{"info":"compute binary expreesion, left_input=5640, right_input=6939, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8238","layer":3},{"info":"compute unary expreesion, input=8238, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=6","layer":2},{"info":"number node, value=1387","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=1797, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5687","layer":3},{"info":"number node, value=6993","layer":4},{"info":"compute unary expreesion, input=6993, 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":3},{"info":"compute binary expreesion, left_input=-5687, right_input=90927, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=3979, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1900","layer":1},{"info":"number node, value=2766","layer":4},{"info":"number node, value=7388","layer":4},{"info":"compute binary expreesion, left_input=2766, right_input=7388, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4715","layer":4},{"info":"compute unary expreesion, input=4715, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6590, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=2365, 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=-6620","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=5958","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=5958, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28637","layer":3},{"info":"compute binary expreesion, left_input=-6620, right_input=28637, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5825","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=5825, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1900, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3254","layer":0}],"base":3,"result_base":3,"text":"((↘(⫏≰21201220⋷⫏≰100112000))⋻⩜⩜⫏≰1220101≦↸⫏≰2110120⪄(⫏≰100121000⊊))∇⊂⋱((⫏≰10210110⋓⫏≰101010122)⫒⫫(⫏≰20110122↓⨍⋜)⫥∨⫟(⫏≰2020221≃⫏≰10020121⨭⪣⫏≰1201012≁↽≥⫏≰22011200))=⫏≰11110112","reverse_text":"⫏≰11110112=((↘(⫏≰21201220⋷⫏≰100112000))⋻⩜⩜⫏≰1220101≦↸⫏≰2110120⪄(⫏≰100121000⊊))∇⊂⋱((⫏≰10210110⋓⫏≰101010122)⫒⫫(⫏≰20110122↓⨍⋜)⫥∨⫟(⫏≰2020221≃⫏≰10020121⨭⪣⫏≰1201012≁↽≥⫏≰22011200))","cot":[{"info":"⫏≰21201220⋷⫏≰100112000=⫏≰102022010","layer":3},{"info":"↘⫏≰102022010=⫏≰20","layer":2},{"info":"⫏≰1220101≦↸⫏≰2110120=⫏≰-21210122","layer":3},{"info":"⫏≰100121000⊊=⫏≰11121201200","layer":3},{"info":"⫏≰-21210122⪄⫏≰11121201200=⫏≰12110101","layer":2},{"info":"⫏≰20⋻⩜⩜⫏≰12110101=⫏≰2121101","layer":1},{"info":"⫏≰10210110⋓⫏≰101010122=⫏≰0","layer":3},{"info":"⫏≰20110122↓⨍⋜=⫏≰100001002","layer":3},{"info":"⫏≰0⫒⫫⫏≰100001002=⫏≰11012","layer":2},{"info":"⫏≰2020221≃⫏≰10020121=⫏≰-100002012","layer":3},{"info":"⫏≰1201012≁↽≥⫏≰22011200=⫏≰1110021122","layer":3},{"info":"⫏≰-100002012⨭⪣⫏≰1110021122=⫏≰21222202","layer":2},{"info":"⫏≰11012⫥∨⫟⫏≰21222202=NaN","layer":1},{"info":"⫏≰2121101∇⊂⋱NaN=⫏≰11110112","layer":0}]}
{"id":390,"expression_no_base_symbol":"($2614$⪡$2045$-$1565$→⨶⪴$1118$)∓⋝($2822$⩧⪆$1369$⋅⇍($1415$∴≳≥))⊨((≛$5940$)⪬($3788$⊹≧⊝)*($7253$⋣⋖$5731$∪⫐($2796$⩤)))","expression":"(⫏≰10120211⪡⫏≰2210202-⫏≰2010222→⨶⪴⫏≰1112102)∓⋝(⫏≰10212112⩧⪆⫏≰1212201⋅⇍(⫏≰1221102∴≳≥))⊨((≛⫏≰22011000)⪬(⫏≰12012022⊹≧⊝)*(⫏≰100221122⋣⋖⫏≰21212021∪⫐(⫏≰10211120⩤)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1926,"operation_count":15,"complexity_ratio":128.4,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2614,"base":3},"right_expr":{"type":"numeric_atoms","value":2045,"base":3}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1565,"base":3},"right_expr":{"type":"numeric_atoms","value":1118,"base":3}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2822,"base":3},"right_expr":{"type":"numeric_atoms","value":1369,"base":3}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1415,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5940,"base":3}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":3788,"base":3}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":7253,"base":3},"right_expr":{"type":"numeric_atoms","value":5731,"base":3}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2796,"base":3}}}}},"used_operators":["vg4gO5BX6G","PoHhknlbAi","rysDP5nf3Z","oraRL2iQuh","bF6eod5Gvf","AdZkA7nFnk","Ikt5ks8PT7","a3N2hFLK0J","9HNa5Wba9A","Ez1Nq5fNfI","W7eaUhjymW","LxFB4K6j0n","7YooWSwCyH","J0M6qkBnIM","Z2TMIBDE3Q"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8w2t5hMYqp","9FxExcQeMw","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eewbuw0ToL","t8gj7n24qd","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","W4YGzv6Whe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-20110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2614","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=2045, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1565","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=1118, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3354","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-3354, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3461","layer":2},{"info":"number node, value=2822","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1369, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1369","layer":3},{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=5660","layer":3},{"info":"compute binary expreesion, left_input=-1369, right_input=5660, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=3461, right_input=-22, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3186","layer":1},{"info":"number node, value=5940","layer":4},{"info":"compute unary expreesion, input=5940, 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":3},{"info":"number node, value=3788","layer":4},{"info":"compute unary expreesion, input=3788, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-15152","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=-15152, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=7253","layer":4},{"info":"number node, value=5731","layer":4},{"info":"compute binary expreesion, left_input=7253, right_input=5731, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=7253","layer":3},{"info":"number node, value=2796","layer":4},{"info":"compute unary expreesion, input=2796, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2796","layer":3},{"info":"compute binary expreesion, left_input=7253, right_input=-2796, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=7253","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=7253, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8950202","layer":1},{"info":"compute binary expreesion, left_input=-3186, right_input=8950202, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10120211⪡⫏≰2210202-⫏≰2010222→⨶⪴⫏≰1112102)∓⋝(⫏≰10212112⩧⪆⫏≰1212201⋅⇍(⫏≰1221102∴≳≥))⊨((≛⫏≰22011000)⪬(⫏≰12012022⊹≧⊝)*(⫏≰100221122⋣⋖⫏≰21212021∪⫐(⫏≰10211120⩤)))=⫏≰-20110","reverse_text":"⫏≰-20110=(⫏≰10120211⪡⫏≰2210202-⫏≰2010222→⨶⪴⫏≰1112102)∓⋝(⫏≰10212112⩧⪆⫏≰1212201⋅⇍(⫏≰1221102∴≳≥))⊨((≛⫏≰22011000)⪬(⫏≰12012022⊹≧⊝)*(⫏≰100221122⋣⋖⫏≰21212021∪⫐(⫏≰10211120⩤)))","cot":[{"info":"⫏≰10120211⪡⫏≰2210202=⫏≰10222","layer":3},{"info":"⫏≰2010222→⨶⪴⫏≰1112102=⫏≰-11121020","layer":3},{"info":"⫏≰10222-⫏≰-11121020=⫏≰11202012","layer":2},{"info":"⫏≰10212112⩧⪆⫏≰1212201=⫏≰-1212201","layer":3},{"info":"⫏≰1221102∴≳≥=⫏≰21202122","layer":3},{"info":"⫏≰-1212201⋅⇍⫏≰21202122=⫏≰-211","layer":2},{"info":"⫏≰11202012∓⋝⫏≰-211=⫏≰-11101000","layer":1},{"info":"≛⫏≰22011000=⫏≰-101","layer":3},{"info":"⫏≰12012022⊹≧⊝=⫏≰-202210012","layer":3},{"info":"⫏≰-101⪬⫏≰-202210012=⫏≰1200201","layer":2},{"info":"⫏≰100221122⋣⋖⫏≰21212021=⫏≰100221122","layer":3},{"info":"⫏≰10211120⩤=⫏≰-10211120","layer":3},{"info":"⫏≰100221122∪⫐⫏≰-10211120=⫏≰100221122","layer":2},{"info":"⫏≰1200201*⫏≰100221122=⫏≰121211201100222","layer":1},{"info":"⫏≰-11101000⊨⫏≰121211201100222=⫏≰-20110","layer":0}]}
{"id":391,"expression_no_base_symbol":"($4326$≎⊠⪸$1080$)⋣⋖($7884$⨑≵⋬$6096$)⪛(↡($1674$⇴∐$1876$))≓∲($1353$→⨶⪴$1027$⪨⊡$1704$⨂≜$3503$)⫗⊷⫓(($1027$⫌⩉⩟$1036$)⨔≚≋$1145$⪮%⊝$2350$)","expression":"(⫏≰12221020≎⊠⪸⫏≰1111000)⋣⋖(⫏≰101211000⨑≵⋬⫏≰22100210)⪛(↡(⫏≰2022000⇴∐⫏≰2120111))≓∲(⫏≰1212010→⨶⪴⫏≰1102001⪨⊡⫏≰2100010⨂≜⫏≰11210202)⫗⊷⫓((⫏≰1102001⫌⩉⩟⫏≰1102101)⨔≚≋⫏≰1120102⪮%⊝⫏≰10020001)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":96303,"operation_count":14,"complexity_ratio":6878.785714285715,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4326,"base":3},"right_expr":{"type":"numeric_atoms","value":1080,"base":3}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":7884,"base":3},"right_expr":{"type":"numeric_atoms","value":6096,"base":3}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1674,"base":3},"right_expr":{"type":"numeric_atoms","value":1876,"base":3}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1353,"base":3},"right_expr":{"type":"numeric_atoms","value":1027,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1704,"base":3},"right_expr":{"type":"numeric_atoms","value":3503,"base":3}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1027,"base":3},"right_expr":{"type":"numeric_atoms","value":1036,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1145,"base":3},"right_expr":{"type":"numeric_atoms","value":2350,"base":3}}}}},"used_operators":["s1XTVnmDOJ","uFcxV4UQCh","J0M6qkBnIM","bJkvcejdHO","XnXgA4xnOs","MXaNJeIAZ3","HnzytWxmAO","zashukvMKz","kuIXHzHcAH","bF6eod5Gvf","k1SHOSEABc","Z57zeUYC9z","XIIwhv8d0m","IWmyXbctLI"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4326","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=4326, right_input=1080, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1119961","layer":3},{"info":"number node, value=7884","layer":4},{"info":"number node, value=6096","layer":4},{"info":"compute binary expreesion, left_input=7884, right_input=6096, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1873","layer":3},{"info":"compute binary expreesion, left_input=1119961, right_input=-1873, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1119961","layer":2},{"info":"number node, value=1674","layer":4},{"info":"number node, value=1876","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=1876, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1119961, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1353","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=1027, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3081","layer":3},{"info":"number node, value=1704","layer":4},{"info":"number node, value=3503","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=3503, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3081, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"number node, value=1027","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1036, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=2350, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2606","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=2606, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-22808","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22808, 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 = 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":3,"result_base":3,"text":"(⫏≰12221020≎⊠⪸⫏≰1111000)⋣⋖(⫏≰101211000⨑≵⋬⫏≰22100210)⪛(↡(⫏≰2022000⇴∐⫏≰2120111))≓∲(⫏≰1212010→⨶⪴⫏≰1102001⪨⊡⫏≰2100010⨂≜⫏≰11210202)⫗⊷⫓((⫏≰1102001⫌⩉⩟⫏≰1102101)⨔≚≋⫏≰1120102⪮%⊝⫏≰10020001)=NaN","reverse_text":"NaN=(⫏≰12221020≎⊠⪸⫏≰1111000)⋣⋖(⫏≰101211000⨑≵⋬⫏≰22100210)⪛(↡(⫏≰2022000⇴∐⫏≰2120111))≓∲(⫏≰1212010→⨶⪴⫏≰1102001⪨⊡⫏≰2100010⨂≜⫏≰11210202)⫗⊷⫓((⫏≰1102001⫌⩉⩟⫏≰1102101)⨔≚≋⫏≰1120102⪮%⊝⫏≰10020001)","cot":[{"info":"⫏≰12221020≎⊠⪸⫏≰1111000=⫏≰2002220022001","layer":3},{"info":"⫏≰101211000⨑≵⋬⫏≰22100210=⫏≰-2120101","layer":3},{"info":"⫏≰2002220022001⋣⋖⫏≰-2120101=⫏≰2002220022001","layer":2},{"info":"⫏≰2022000⇴∐⫏≰2120111=NaN","layer":3},{"info":"↡NaN=NaN","layer":2},{"info":"⫏≰2002220022001⪛NaN=NaN","layer":1},{"info":"⫏≰1212010→⨶⪴⫏≰1102001=⫏≰-11020010","layer":3},{"info":"⫏≰2100010⨂≜⫏≰11210202=NaN","layer":3},{"info":"⫏≰-11020010⪨⊡NaN=NaN","layer":2},{"info":"⫏≰1102001⫌⩉⩟⫏≰1102101=⫏≰-1212","layer":3},{"info":"⫏≰1120102⪮%⊝⫏≰10020001=⫏≰10120112","layer":3},{"info":"⫏≰-1212⨔≚≋⫏≰10120112=⫏≰-1011021202","layer":2},{"info":"NaN⫗⊷⫓⫏≰-1011021202=⫏≰-11222","layer":1},{"info":"NaN≓∲⫏≰-11222=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(⨞⊢($3983$⫔⩽⩺$1860$)⫉⨲⊜($1109$⪉⨛$4767$))⇷($1072$⋥≓≎$4231$)⪬(≱⇩⩕$1071$)⨑⩅≇(($1581$↺$3480$)≒∊($3372$∠⫱$4717$))","expression":"(⨞⊢(⫏≰12110112⫔⩽⩺⫏≰2112220)⫉⨲⊜(⫏≰1112002⪉⨛⫏≰20112120))⇷(⫏≰1110201⋥≓≎⫏≰12210201)⪬(≱⇩⩕⫏≰1110200)⨑⩅≇((⫏≰2011120↺⫏≰11202220)≒∊(⫏≰11121220∠⫱⫏≰20110201))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19983,"operation_count":12,"complexity_ratio":1665.25,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3983,"base":3},"right_expr":{"type":"numeric_atoms","value":1860,"base":3}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":4767,"base":3}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1072,"base":3},"right_expr":{"type":"numeric_atoms","value":4231,"base":3}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1071,"base":3}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1581,"base":3},"right_expr":{"type":"numeric_atoms","value":3480,"base":3}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3372,"base":3},"right_expr":{"type":"numeric_atoms","value":4717,"base":3}}}}},"used_operators":["mp7IySMOzn","xUOZtlo3hN","WhqkvtTD3t","i9eR4S00cU","EWw2JM7wp4","h92wMvzauj","Ez1Nq5fNfI","Qy55tPpLXF","3DZMoQKiUl","5KTvxBwnZo","7j4O788W3g","QvoQhV0rrE"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","Tw270M8GLb","fu6greOZ01","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3983","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=1860, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=4767, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1225","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1225, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-1335","layer":2},{"info":"compute unary expreesion, input=-1335, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1161","layer":1},{"info":"number node, value=1072","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=4231, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7423","layer":3},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=7423, right_input=113, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1581","layer":4},{"info":"number node, value=3480","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=3480, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3480","layer":3},{"info":"number node, value=3372","layer":4},{"info":"number node, value=4717","layer":4},{"info":"compute binary expreesion, left_input=3372, right_input=4717, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=3480, right_input=1234, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2996","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-2996, 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=-3702","layer":1},{"info":"compute binary expreesion, left_input=1161, right_input=-3702, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨞⊢(⫏≰12110112⫔⩽⩺⫏≰2112220)⫉⨲⊜(⫏≰1112002⪉⨛⫏≰20112120))⇷(⫏≰1110201⋥≓≎⫏≰12210201)⪬(≱⇩⩕⫏≰1110200)⨑⩅≇((⫏≰2011120↺⫏≰11202220)≒∊(⫏≰11121220∠⫱⫏≰20110201))=NaN","reverse_text":"NaN=(⨞⊢(⫏≰12110112⫔⩽⩺⫏≰2112220)⫉⨲⊜(⫏≰1112002⪉⨛⫏≰20112120))⇷(⫏≰1110201⋥≓≎⫏≰12210201)⪬(≱⇩⩕⫏≰1110200)⨑⩅≇((⫏≰2011120↺⫏≰11202220)≒∊(⫏≰11121220∠⫱⫏≰20110201))","cot":[{"info":"⫏≰12110112⫔⩽⩺⫏≰2112220=NaN","layer":3},{"info":"⫏≰1112002⪉⨛⫏≰20112120=⫏≰-1200101","layer":3},{"info":"NaN⫉⨲⊜⫏≰-1200101=⫏≰-1211110","layer":2},{"info":"⨞⊢⫏≰-1211110=⫏≰1121000","layer":1},{"info":"⫏≰1110201⋥≓≎⫏≰12210201=⫏≰101011221","layer":3},{"info":"≱⇩⩕⫏≰1110200=⫏≰11012","layer":3},{"info":"⫏≰101011221⪬⫏≰11012=⫏≰1200201","layer":2},{"info":"⫏≰2011120↺⫏≰11202220=⫏≰11202220","layer":3},{"info":"⫏≰11121220∠⫱⫏≰20110201=⫏≰1200201","layer":3},{"info":"⫏≰11202220≒∊⫏≰1200201=⫏≰-11002222","layer":2},{"info":"⫏≰1200201⨑⩅≇⫏≰-11002222=⫏≰-12002010","layer":1},{"info":"⫏≰1121000⇷⫏≰-12002010=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"((($5369$⩺⪪$1000$)⪷)≓∲$6435$+⪬∐$3544$⊔$3954$⇷$1212$)⫁⪎($1470$⇻⋧≁$1996$⩚⊴⇥($1509$⫢⨠$1809$))⋹⋡⊁($2123$⇍⊗$4267$≒∊$4701$∛$3372$)","expression":"(((⫏≰21100212⩺⪪⫏≰1101001)⪷)≓∲⫏≰22211100+⪬∐⫏≰11212021⊔⫏≰12102110⇷⫏≰1122220)⫁⪎(⫏≰2000110⇻⋧≁⫏≰2201221⩚⊴⇥(⫏≰2001220⫢⨠⫏≰2111000))⋹⋡⊁(⫏≰2220122⇍⊗⫏≰12212001≒∊⫏≰20110010∛⫏≰11121220)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":190623,"operation_count":14,"complexity_ratio":13615.92857142857,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5369,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":6435,"base":3},"right_expr":{"type":"numeric_atoms","value":3544,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3954,"base":3},"right_expr":{"type":"numeric_atoms","value":1212,"base":3}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1470,"base":3},"right_expr":{"type":"numeric_atoms","value":1996,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1509,"base":3},"right_expr":{"type":"numeric_atoms","value":1809,"base":3}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2123,"base":3},"right_expr":{"type":"numeric_atoms","value":4267,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4701,"base":3},"right_expr":{"type":"numeric_atoms","value":3372,"base":3}}}}},"used_operators":["xRrnTEsQ6j","s1XTVnmDOJ","Qctrpi3WzA","uvdQJvN4PV","E4l6HwMY31","2GS7woTJqF","mp7IySMOzn","As8RqfVLgs","NTOWxs364D","jCPkEVoL5K","xlXykHWxX1","5KTvxBwnZo","5uvYHDjeKN","w2537kitQq"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Nsiff2A1zJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5369","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=5369, right_input=1000, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-70802","layer":3},{"info":"compute unary expreesion, input=-70802, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=6435","layer":4},{"info":"number node, value=3544","layer":4},{"info":"compute binary expreesion, left_input=6435, right_input=3544, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-19305","layer":3},{"info":"number node, value=3954","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=1212, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2424","layer":3},{"info":"compute binary expreesion, left_input=-19305, right_input=2424, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=82782","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=82782, 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":1},{"info":"number node, value=1470","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=1996, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1809, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=166","layer":2},{"info":"number node, value=2123","layer":4},{"info":"number node, value=4267","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=4267, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=4701","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=4701, right_input=3372, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-670, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=728","layer":2},{"info":"compute binary expreesion, left_input=166, right_input=728, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1478","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1478, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰21100212⩺⪪⫏≰1101001)⪷)≓∲⫏≰22211100+⪬∐⫏≰11212021⊔⫏≰12102110⇷⫏≰1122220)⫁⪎(⫏≰2000110⇻⋧≁⫏≰2201221⩚⊴⇥(⫏≰2001220⫢⨠⫏≰2111000))⋹⋡⊁(⫏≰2220122⇍⊗⫏≰12212001≒∊⫏≰20110010∛⫏≰11121220)=NaN","reverse_text":"NaN=(((⫏≰21100212⩺⪪⫏≰1101001)⪷)≓∲⫏≰22211100+⪬∐⫏≰11212021⊔⫏≰12102110⇷⫏≰1122220)⫁⪎(⫏≰2000110⇻⋧≁⫏≰2201221⩚⊴⇥(⫏≰2001220⫢⨠⫏≰2111000))⋹⋡⊁(⫏≰2220122⇍⊗⫏≰12212001≒∊⫏≰20110010∛⫏≰11121220)","cot":[{"info":"⫏≰21100212⩺⪪⫏≰1101001=⫏≰-10121010022","layer":3},{"info":"⫏≰-10121010022⪷=NaN","layer":2},{"info":"⫏≰22211100+⪬∐⫏≰11212021=⫏≰-222111000","layer":3},{"info":"⫏≰12102110⇷⫏≰1122220=⫏≰10022210","layer":3},{"info":"⫏≰-222111000⊔⫏≰10022210=⫏≰11012120000","layer":2},{"info":"NaN≓∲⫏≰11012120000=NaN","layer":1},{"info":"⫏≰2000110⇻⋧≁⫏≰2201221=⫏≰-121120","layer":3},{"info":"⫏≰2001220⫢⨠⫏≰2111000=⫏≰12221","layer":3},{"info":"⫏≰-121120⩚⊴⇥⫏≰12221=⫏≰20011","layer":2},{"info":"⫏≰2220122⇍⊗⫏≰12212001=⫏≰-100001","layer":3},{"info":"⫏≰20110010∛⫏≰11121220=⫏≰-220211","layer":3},{"info":"⫏≰-100001≒∊⫏≰-220211=⫏≰222222","layer":2},{"info":"⫏≰20011⋹⋡⊁⫏≰222222=⫏≰2000202","layer":1},{"info":"NaN⫁⪎⫏≰2000202=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"((($3203$⫳≱↱$1121$)⪒⊣⊆($3629$⪣⫩))⫁((≉$3085$)∀⇚≩($7669$⋝⋈⪟$2339$)))⪟⇏(($3832$⇄$5944$∲⫓(⨣⨃⇪$1473$))∋(($2423$⪔$3384$)⊫∞))","expression":"(((⫏≰11101122⫳≱↱⫏≰1112112)⪒⊣⊆(⫏≰11222102⪣⫩))⫁((≉⫏≰11020021)∀⇚≩(⫏≰101112001⋝⋈⪟⫏≰10012122)))⪟⇏((⫏≰12020221⇄⫏≰22011011∲⫓(⨣⨃⇪⫏≰2000120))∋((⫏≰10022202⪔⫏≰11122100)⊫∞))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":52418,"operation_count":14,"complexity_ratio":3744.1428571428573,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3203,"base":3},"right_expr":{"type":"numeric_atoms","value":1121,"base":3}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":3629,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3085,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7669,"base":3},"right_expr":{"type":"numeric_atoms","value":2339,"base":3}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3832,"base":3},"right_expr":{"type":"numeric_atoms","value":5944,"base":3}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1473,"base":3}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2423,"base":3},"right_expr":{"type":"numeric_atoms","value":3384,"base":3}}}}},"used_operators":["GODebY97qR","0ajvFaJAv0","eRqsBgTDFp","ZvLB05nZmT","iuk5sVOGFA","LRNGc0VcxI","e1ybzncUwg","2DDjHMKMc0","ukq6epAj5P","i8ToyICDmI","3EYGwJThht","AcOhelriW5","pABnYW3G3E","GjBEYRfMaF"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3203","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=1121, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3629","layer":4},{"info":"compute unary expreesion, input=3629, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=10854","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=10854, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=22218","layer":2},{"info":"number node, value=3085","layer":4},{"info":"compute unary expreesion, input=3085, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3616","layer":3},{"info":"number node, value=7669","layer":4},{"info":"number node, value=2339","layer":4},{"info":"compute binary expreesion, left_input=7669, right_input=2339, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7669","layer":3},{"info":"compute binary expreesion, left_input=3616, right_input=7669, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22218, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=3832","layer":4},{"info":"number node, value=5944","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=5944, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1405, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2423","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=3384, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-53672","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-53672, 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":3,"result_base":3,"text":"(((⫏≰11101122⫳≱↱⫏≰1112112)⪒⊣⊆(⫏≰11222102⪣⫩))⫁((≉⫏≰11020021)∀⇚≩(⫏≰101112001⋝⋈⪟⫏≰10012122)))⪟⇏((⫏≰12020221⇄⫏≰22011011∲⫓(⨣⨃⇪⫏≰2000120))∋((⫏≰10022202⪔⫏≰11122100)⊫∞))=⫏≰0","reverse_text":"⫏≰0=(((⫏≰11101122⫳≱↱⫏≰1112112)⪒⊣⊆(⫏≰11222102⪣⫩))⫁((≉⫏≰11020021)∀⇚≩(⫏≰101112001⋝⋈⪟⫏≰10012122)))⪟⇏((⫏≰12020221⇄⫏≰22011011∲⫓(⨣⨃⇪⫏≰2000120))∋((⫏≰10022202⪔⫏≰11122100)⊫∞))","cot":[{"info":"⫏≰11101122⫳≱↱⫏≰1112112=⫏≰-21120","layer":3},{"info":"⫏≰11222102⪣⫩=⫏≰112220000","layer":3},{"info":"⫏≰-21120⪒⊣⊆⫏≰112220000=⫏≰1010110220","layer":2},{"info":"≉⫏≰11020021=⫏≰11221221","layer":3},{"info":"⫏≰101112001⋝⋈⪟⫏≰10012122=⫏≰101112001","layer":3},{"info":"⫏≰11221221∀⇚≩⫏≰101112001=NaN","layer":2},{"info":"⫏≰1010110220⫁NaN=⫏≰12221","layer":1},{"info":"⫏≰12020221⇄⫏≰22011011=⫏≰0","layer":3},{"info":"⨣⨃⇪⫏≰2000120=⫏≰1221001","layer":3},{"info":"⫏≰0∲⫓⫏≰1221001=⫏≰0","layer":2},{"info":"⫏≰10022202⪔⫏≰11122100=⫏≰121200","layer":3},{"info":"⫏≰121200⊫∞=⫏≰0","layer":2},{"info":"⫏≰0∋⫏≰0=⫏≰-2201121212","layer":1},{"info":"⫏≰12221⪟⇏⫏≰-2201121212=⫏≰0","layer":0}]}
{"id":395,"expression_no_base_symbol":"(≀↧⇸(($2608$⨎⋸⪻)≃$2972$⨔⇊$2954$))⪒(↡($5769$*$4658$∽(≉$3145$)))","expression":"(≀↧⇸((⫏≰10120121⨎⋸⪻)≃⫏≰11002002⨔⇊⫏≰11001102))⪒(↡(⫏≰21220200*⫏≰20101112∽(≉⫏≰11022111)))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4724,"operation_count":9,"complexity_ratio":524.8888888888889,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":2608,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2972,"base":3},"right_expr":{"type":"numeric_atoms","value":2954,"base":3}}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5769,"base":3},"right_expr":{"type":"numeric_atoms","value":4658,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3145,"base":3}}}}},"used_operators":["f6k1SAg4EE","ljTHtUsqzn","YbVcJGFEVW","Dk5vyLCiGd","JclMnS0uGI","MXaNJeIAZ3","y4ImoPnbV5","9HNa5Wba9A","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰10010021102012212112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2608","layer":4},{"info":"compute unary expreesion, input=2608, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=5532","layer":3},{"info":"number node, value=2972","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=2954, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2954","layer":3},{"info":"compute binary expreesion, left_input=5532, right_input=2954, 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=-22168","layer":2},{"info":"compute unary expreesion, input=-22168, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=88672","layer":1},{"info":"number node, value=5769","layer":4},{"info":"number node, value=4658","layer":4},{"info":"compute binary expreesion, left_input=5769, right_input=4658, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=26872002","layer":3},{"info":"number node, value=3145","layer":4},{"info":"compute unary expreesion, input=3145, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3676","layer":3},{"info":"compute binary expreesion, left_input=26872002, right_input=3676, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-134370860","layer":2},{"info":"compute unary expreesion, input=-134370860, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-1209337740","layer":1},{"info":"compute binary expreesion, left_input=88672, right_input=-1209337740, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1209249068","layer":0}],"base":3,"result_base":3,"text":"(≀↧⇸((⫏≰10120121⨎⋸⪻)≃⫏≰11002002⨔⇊⫏≰11001102))⪒(↡(⫏≰21220200*⫏≰20101112∽(≉⫏≰11022111)))=⫏≰10010021102012212112","reverse_text":"⫏≰10010021102012212112=(≀↧⇸((⫏≰10120121⨎⋸⪻)≃⫏≰11002002⨔⇊⫏≰11001102))⪒(↡(⫏≰21220200*⫏≰20101112∽(≉⫏≰11022111)))","cot":[{"info":"⫏≰10120121⨎⋸⪻=⫏≰21120220","layer":3},{"info":"⫏≰11002002⨔⇊⫏≰11001102=⫏≰11001102","layer":3},{"info":"⫏≰21120220≃⫏≰11001102=⫏≰-1010102001","layer":2},{"info":"≀↧⇸⫏≰-1010102001=⫏≰11111122011","layer":1},{"info":"⫏≰21220200*⫏≰20101112=⫏≰1212120020110100","layer":3},{"info":"≉⫏≰11022111=⫏≰12001011","layer":3},{"info":"⫏≰1212120020110100∽⫏≰12001011=⫏≰-100100211202011112","layer":2},{"info":"↡⫏≰-100100211202011112=⫏≰-10010021120201111200","layer":1},{"info":"⫏≰11111122011⪒⫏≰-10010021120201111200=⫏≰10010021102012212112","layer":0}]}
{"id":396,"expression_no_base_symbol":"(↨($1218$⨽$1226$⇼⇔∾$4145$≹⇙⪍$6815$))∀⇚≩(($8682$⊉≛↸$1053$)⪟⇏($1533$⊹∫⫚$3069$)⪶≀⋏$2038$⨽∌$3345$⪎↠($6750$⊬⨰$7291$))","expression":"(↨(⫏≰1200010⨽⫏≰1200102⇼⇔∾⫏≰12200112≹⇙⪍⫏≰100100102))∀⇚≩((⫏≰102220120⊉≛↸⫏≰1110000)⪟⇏(⫏≰2002210⊹∫⫚⫏≰11012200)⪶≀⋏⫏≰2210111⨽∌⫏≰11120220⪎↠(⫏≰100021000⊬⨰⫏≰101000001))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1546,"operation_count":12,"complexity_ratio":128.83333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1218,"base":3},"right_expr":{"type":"numeric_atoms","value":1226,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4145,"base":3},"right_expr":{"type":"numeric_atoms","value":6815,"base":3}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8682,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1533,"base":3},"right_expr":{"type":"numeric_atoms","value":3069,"base":3}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2038,"base":3},"right_expr":{"type":"numeric_atoms","value":3345,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6750,"base":3},"right_expr":{"type":"numeric_atoms","value":7291,"base":3}}}}},"used_operators":["LRNGc0VcxI","jiX4gk2v2Q","tifHPKVTfV","8HhzD0ZcuI","AHs5Up7iyr","zR4jO40bMj","GODebY97qR","DZ8iAZOCBD","uWAJUKEvyW","3tVxb0NHM4","9samAPKr6k","s3Fd5m9Dh2"],"dependent_operators":["X99M06cbEe","rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1226, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4452936","layer":3},{"info":"number node, value=4145","layer":4},{"info":"number node, value=6815","layer":4},{"info":"compute binary expreesion, left_input=4145, right_input=6815, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4452936, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"number node, value=8682","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=8682, right_input=1053, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17364","layer":3},{"info":"number node, value=1533","layer":4},{"info":"number node, value=3069","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=3069, 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":3},{"info":"compute binary expreesion, left_input=17364, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=2038","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=3345, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=6750","layer":4},{"info":"number node, value=7291","layer":4},{"info":"compute binary expreesion, left_input=6750, right_input=7291, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=34858","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=34858, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=6944","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6944, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↨(⫏≰1200010⨽⫏≰1200102⇼⇔∾⫏≰12200112≹⇙⪍⫏≰100100102))∀⇚≩((⫏≰102220120⊉≛↸⫏≰1110000)⪟⇏(⫏≰2002210⊹∫⫚⫏≰11012200)⪶≀⋏⫏≰2210111⨽∌⫏≰11120220⪎↠(⫏≰100021000⊬⨰⫏≰101000001))=NaN","reverse_text":"NaN=(↨(⫏≰1200010⨽⫏≰1200102⇼⇔∾⫏≰12200112≹⇙⪍⫏≰100100102))∀⇚≩((⫏≰102220120⊉≛↸⫏≰1110000)⪟⇏(⫏≰2002210⊹∫⫚⫏≰11012200)⪶≀⋏⫏≰2210111⨽∌⫏≰11120220⪎↠(⫏≰100021000⊬⨰⫏≰101000001))","cot":[{"info":"⫏≰1200010⨽⫏≰1200102=⫏≰-22101020021120","layer":3},{"info":"⫏≰12200112≹⇙⪍⫏≰100100102=NaN","layer":3},{"info":"⫏≰-22101020021120⇼⇔∾NaN=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"⫏≰102220120⊉≛↸⫏≰1110000=⫏≰212211010","layer":3},{"info":"⫏≰2002210⊹∫⫚⫏≰11012200=⫏≰0","layer":3},{"info":"⫏≰212211010⪟⇏⫏≰0=⫏≰0","layer":2},{"info":"⫏≰2210111⨽∌⫏≰11120220=⫏≰0","layer":3},{"info":"⫏≰100021000⊬⨰⫏≰101000001=⫏≰1202211001","layer":3},{"info":"⫏≰0⪎↠⫏≰1202211001=⫏≰1012011","layer":2},{"info":"⫏≰0⪶≀⋏⫏≰1012011=⫏≰100112012","layer":1},{"info":"NaN∀⇚≩⫏≰100112012=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"($1002$⫒⫫$1956$)⊉↱≁$1186$⇂≾⫗$3929$⪚($8079$⇣⩺⋵$1702$⪉⨛$3430$↡⊰⫅$7843$)∛≔","expression":"(⫏≰1101010⫒⫫⫏≰2200110)⊉↱≁⫏≰1121221⇂≾⫗⫏≰12101112⪚(⫏≰102002020⇣⩺⋵⫏≰2100001⪉⨛⫏≰11201001↡⊰⫅⫏≰101202111)∛≔","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":110161,"operation_count":8,"complexity_ratio":13770.125,"tree":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1002,"base":3},"right_expr":{"type":"numeric_atoms","value":1956,"base":3}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1186,"base":3},"right_expr":{"type":"numeric_atoms","value":3929,"base":3}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":8079,"base":3},"right_expr":{"type":"numeric_atoms","value":1702,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3430,"base":3},"right_expr":{"type":"numeric_atoms","value":7843,"base":3}}}}},"used_operators":["mGnSCrte3L","HrjLwUk87U","w2P8NbNXyL","6Ko8hGgeMq","aBQ6xLxuTc","EWw2JM7wp4","F4yD0voBRQ","VCtxkLNOzz"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1956, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1186","layer":4},{"info":"number node, value=3929","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=3929, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"number node, value=8079","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=8079, right_input=1702, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=3430","layer":4},{"info":"number node, value=7843","layer":4},{"info":"compute binary expreesion, left_input=3430, right_input=7843, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=15686","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=15686, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-47623","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-47623, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1101010⫒⫫⫏≰2200110)⊉↱≁⫏≰1121221⇂≾⫗⫏≰12101112⪚(⫏≰102002020⇣⩺⋵⫏≰2100001⪉⨛⫏≰11201001↡⊰⫅⫏≰101202111)∛≔=NaN","reverse_text":"NaN=(⫏≰1101010⫒⫫⫏≰2200110)⊉↱≁⫏≰1121221⇂≾⫗⫏≰12101112⪚(⫏≰102002020⇣⩺⋵⫏≰2100001⪉⨛⫏≰11201001↡⊰⫅⫏≰101202111)∛≔","cot":[{"info":"⫏≰1101010⫒⫫⫏≰2200110=NaN","layer":3},{"info":"⫏≰1121221⇂≾⫗⫏≰12101112=⫏≰-221001","layer":3},{"info":"NaN⊉↱≁⫏≰-221001=NaN","layer":2},{"info":"⫏≰102002020⇣⩺⋵⫏≰2100001=⫏≰-100122","layer":3},{"info":"⫏≰11201001↡⊰⫅⫏≰101202111=⫏≰210111222","layer":3},{"info":"⫏≰-100122⪉⨛⫏≰210111222=⫏≰-2102022211","layer":2},{"info":"NaN⪚⫏≰-2102022211=NaN","layer":1},{"info":"NaN∛≔=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"(($2975$⪚$4803$∪⫐(∤↝$3982$))⩨(⇋↷$2063$)↡⊰⫅$6169$⩦$1619$)⩧⪆((($4863$⫸⊐$1875$)⋥≓≎$1180$+⪬∐$1745$)⨽(($7996$⩧⪆$1419$)⫚⫇))","expression":"((⫏≰11002012⪚⫏≰20120220∪⫐(∤↝⫏≰12110111))⩨(⇋↷⫏≰2211102)↡⊰⫅⫏≰22110111⩦⫏≰2012222)⩧⪆(((⫏≰20200010⫸⊐⫏≰2120110)⋥≓≎⫏≰1121201+⪬∐⫏≰2101122)⨽((⫏≰101222011⩧⪆⫏≰1221120)⫚⫇))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":187279,"operation_count":14,"complexity_ratio":13377.07142857143,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2975,"base":3},"right_expr":{"type":"numeric_atoms","value":4803,"base":3}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3982,"base":3}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2063,"base":3}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6169,"base":3},"right_expr":{"type":"numeric_atoms","value":1619,"base":3}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4863,"base":3},"right_expr":{"type":"numeric_atoms","value":1875,"base":3}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1180,"base":3},"right_expr":{"type":"numeric_atoms","value":1745,"base":3}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":7996,"base":3},"right_expr":{"type":"numeric_atoms","value":1419,"base":3}}}}},"used_operators":["Ikt5ks8PT7","2DlMacCsIx","7YooWSwCyH","HrjLwUk87U","3UMq87Qwqg","VCtxkLNOzz","SWo3A1KBJH","0kmYd0q39Y","8HhzD0ZcuI","Qy55tPpLXF","mqXw5SEYmG","2GS7woTJqF","SdCjLnB6rR"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC"],"result":"⫏≰1121111010102210010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2975","layer":4},{"info":"number node, value=4803","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=4803, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-4012","layer":3},{"info":"number node, value=3982","layer":4},{"info":"compute unary expreesion, input=3982, 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=3982","layer":3},{"info":"compute binary expreesion, left_input=-4012, right_input=3982, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-4012","layer":2},{"info":"number node, value=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=16504","layer":3},{"info":"number node, value=6169","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=6169, right_input=1619, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=12338","layer":3},{"info":"compute binary expreesion, left_input=16504, right_input=12338, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=24676","layer":2},{"info":"compute binary expreesion, left_input=-4012, right_input=24676, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=21","layer":1},{"info":"number node, value=4863","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=4863, right_input=1875, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7375","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=1745, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3540","layer":3},{"info":"compute binary expreesion, left_input=7375, right_input=-3540, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-14422","layer":2},{"info":"number node, value=7996","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=7996, right_input=1419, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1419","layer":3},{"info":"compute unary expreesion, input=-1419, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"compute binary expreesion, left_input=-14422, right_input=-522, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-623979372","layer":1},{"info":"compute binary expreesion, left_input=21, right_input=-623979372, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=623979372","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11002012⪚⫏≰20120220∪⫐(∤↝⫏≰12110111))⩨(⇋↷⫏≰2211102)↡⊰⫅⫏≰22110111⩦⫏≰2012222)⩧⪆(((⫏≰20200010⫸⊐⫏≰2120110)⋥≓≎⫏≰1121201+⪬∐⫏≰2101122)⨽((⫏≰101222011⩧⪆⫏≰1221120)⫚⫇))=⫏≰1121111010102210010","reverse_text":"⫏≰1121111010102210010=((⫏≰11002012⪚⫏≰20120220∪⫐(∤↝⫏≰12110111))⩨(⇋↷⫏≰2211102)↡⊰⫅⫏≰22110111⩦⫏≰2012222)⩧⪆(((⫏≰20200010⫸⊐⫏≰2120110)⋥≓≎⫏≰1121201+⪬∐⫏≰2101122)⨽((⫏≰101222011⩧⪆⫏≰1221120)⫚⫇))","cot":[{"info":"⫏≰11002012⪚⫏≰20120220=⫏≰-12111121","layer":3},{"info":"∤↝⫏≰12110111=⫏≰12110111","layer":3},{"info":"⫏≰-12111121∪⫐⫏≰12110111=⫏≰-12111121","layer":2},{"info":"⇋↷⫏≰2211102=⫏≰211122021","layer":3},{"info":"⫏≰22110111⩦⫏≰2012222=⫏≰121220222","layer":3},{"info":"⫏≰211122021↡⊰⫅⫏≰121220222=⫏≰1020211221","layer":2},{"info":"⫏≰-12111121⩨⫏≰1020211221=⫏≰210","layer":1},{"info":"⫏≰20200010⫸⊐⫏≰2120110=⫏≰101010011","layer":3},{"info":"⫏≰1121201+⪬∐⫏≰2101122=⫏≰-11212010","layer":3},{"info":"⫏≰101010011⋥≓≎⫏≰-11212010=⫏≰-201210011","layer":2},{"info":"⫏≰101222011⩧⪆⫏≰1221120=⫏≰-1221120","layer":3},{"info":"⫏≰-1221120⫚⫇=⫏≰-201100","layer":2},{"info":"⫏≰-201210011⨽⫏≰-201100=⫏≰-1121111010102210010","layer":1},{"info":"⫏≰210⩧⪆⫏≰-1121111010102210010=⫏≰1121111010102210010","layer":0}]}
{"id":399,"expression_no_base_symbol":"($3081$≚⊃≕$6324$)⊉↱≁($3499$⋅⇍$7144$)⨚(($5306$⨚⇆$1722$)⪭(⪭⩑⪱$5381$))⇣⩺⋵(⨑⩽⪐($1783$⊅)↤⩊($1194$∙⊟$3522$))","expression":"(⫏≰11020010≚⊃≕⫏≰22200020)⊉↱≁(⫏≰11210121⋅⇍⫏≰100210121)⨚((⫏≰21021112⨚⇆⫏≰2100210)⪭(⪭⩑⪱⫏≰21101022))⇣⩺⋵(⨑⩽⪐(⫏≰2110001⊅)↤⩊(⫏≰1122020∙⊟⫏≰11211110))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":91013,"operation_count":12,"complexity_ratio":7584.416666666667,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3081,"base":3},"right_expr":{"type":"numeric_atoms","value":6324,"base":3}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3499,"base":3},"right_expr":{"type":"numeric_atoms","value":7144,"base":3}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5306,"base":3},"right_expr":{"type":"numeric_atoms","value":1722,"base":3}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":5381,"base":3}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1783,"base":3}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1194,"base":3},"right_expr":{"type":"numeric_atoms","value":3522,"base":3}}}}},"used_operators":["F4yD0voBRQ","nREPSIbpBE","w2P8NbNXyL","Bmrmz2XGnR","AdZkA7nFnk","j9kHMeSvPp","lwHaAYXP2r","SIgE0bArFf","AF7qkfDlqP","13rbtpv6ld","7p6YLioM7f","SxTAKzQCrw"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","COABgblf1C","xUOZtlo3hN","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⫏≰-100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3081","layer":4},{"info":"number node, value=6324","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=6324, 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=-16306","layer":3},{"info":"number node, value=3499","layer":4},{"info":"number node, value=7144","layer":4},{"info":"compute binary expreesion, left_input=3499, right_input=7144, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-16306, right_input=-22, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-164042","layer":2},{"info":"number node, value=5306","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=5306, right_input=1722, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=5381","layer":4},{"info":"compute unary expreesion, input=5381, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=-164042, right_input=5, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-327170","layer":1},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=3522","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=3522, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25368","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=25368, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-327170, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11020010≚⊃≕⫏≰22200020)⊉↱≁(⫏≰11210121⋅⇍⫏≰100210121)⨚((⫏≰21021112⨚⇆⫏≰2100210)⪭(⪭⩑⪱⫏≰21101022))⇣⩺⋵(⨑⩽⪐(⫏≰2110001⊅)↤⩊(⫏≰1122020∙⊟⫏≰11211110))=⫏≰-100122","reverse_text":"⫏≰-100122=(⫏≰11020010≚⊃≕⫏≰22200020)⊉↱≁(⫏≰11210121⋅⇍⫏≰100210121)⨚((⫏≰21021112⨚⇆⫏≰2100210)⪭(⪭⩑⪱⫏≰21101022))⇣⩺⋵(⨑⩽⪐(⫏≰2110001⊅)↤⩊(⫏≰1122020∙⊟⫏≰11211110))","cot":[{"info":"⫏≰11020010≚⊃≕⫏≰22200020=⫏≰-211100221","layer":3},{"info":"⫏≰11210121⋅⇍⫏≰100210121=⫏≰-211","layer":3},{"info":"⫏≰-211100221⊉↱≁⫏≰-211=⫏≰-22100000122","layer":2},{"info":"⫏≰21021112⨚⇆⫏≰2100210=NaN","layer":3},{"info":"⪭⩑⪱⫏≰21101022=⫏≰120122201221000","layer":3},{"info":"NaN⪭⫏≰120122201221000=⫏≰12","layer":2},{"info":"⫏≰-22100000122⨚⫏≰12=⫏≰-121121210102","layer":1},{"info":"⫏≰2110001⊅=⫏≰-20110","layer":3},{"info":"⫏≰1122020∙⊟⫏≰11211110=⫏≰1021210120","layer":3},{"info":"⫏≰-20110↤⩊⫏≰1021210120=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫏≰-121121210102⇣⩺⋵NaN=⫏≰-100122","layer":0}]}
{"id":400,"expression_no_base_symbol":"(($1073$⨵⪆$2003$)⋥≓≎$1474$⩌⋺$1741$)⨽∌(($4265$⨳⩥⨓$2949$)⨚⇆$5580$≀⫉$2655$)⨻⩈⩔(≪(($1060$⨻⩈⩔$2065$)⊢(⩦⊞$1814$)))","expression":"((⫏≰1110202⨵⪆⫏≰2202012)⋥≓≎⫏≰2000121⩌⋺⫏≰2101111)⨽∌((⫏≰12211222⨳⩥⨓⫏≰11001020)⨚⇆⫏≰21122200≀⫉⫏≰10122100)⨻⩈⩔(≪((⫏≰1110021⨻⩈⩔⫏≰2211111)⊢(⩦⊞⫏≰2111012)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9739,"operation_count":12,"complexity_ratio":811.5833333333334,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1073,"base":3},"right_expr":{"type":"numeric_atoms","value":2003,"base":3}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1474,"base":3},"right_expr":{"type":"numeric_atoms","value":1741,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4265,"base":3},"right_expr":{"type":"numeric_atoms","value":2949,"base":3}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5580,"base":3},"right_expr":{"type":"numeric_atoms","value":2655,"base":3}}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1060,"base":3},"right_expr":{"type":"numeric_atoms","value":2065,"base":3}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1814,"base":3}}}}},"used_operators":["nEsXyWgiOK","9samAPKr6k","Qy55tPpLXF","2DQ55sFlQl","g7Hmc5v1ko","lwHaAYXP2r","nCS4ZIUYfx","oZj3VtZNQx","Qtd6bqUJcN","5twsqlHp2o","u7fv1HBiaC"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=2003, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=1741, 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=-3336","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3336, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6799","layer":2},{"info":"number node, value=4265","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=2949, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1316","layer":3},{"info":"number node, value=5580","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=5580, right_input=2655, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-1316, right_input=2822, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6799, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=1060","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=2065, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=1814","layer":4},{"info":"compute unary expreesion, input=1814, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1541","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=-1541, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=104","layer":2},{"info":"compute unary expreesion, input=104, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=913, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1110202⨵⪆⫏≰2202012)⋥≓≎⫏≰2000121⩌⋺⫏≰2101111)⨽∌((⫏≰12211222⨳⩥⨓⫏≰11001020)⨚⇆⫏≰21122200≀⫉⫏≰10122100)⨻⩈⩔(≪((⫏≰1110021⨻⩈⩔⫏≰2211111)⊢(⩦⊞⫏≰2111012)))=NaN","reverse_text":"NaN=((⫏≰1110202⨵⪆⫏≰2202012)⋥≓≎⫏≰2000121⩌⋺⫏≰2101111)⨽∌((⫏≰12211222⨳⩥⨓⫏≰11001020)⨚⇆⫏≰21122200≀⫉⫏≰10122100)⨻⩈⩔(≪((⫏≰1110021⨻⩈⩔⫏≰2211111)⊢(⩦⊞⫏≰2111012)))","cot":[{"info":"⫏≰1110202⨵⪆⫏≰2202012=⫏≰12221","layer":3},{"info":"⫏≰2000121⩌⋺⫏≰2101111=⫏≰-11120120","layer":3},{"info":"⫏≰12221⋥≓≎⫏≰-11120120=⫏≰-100022211","layer":2},{"info":"⫏≰12211222⨳⩥⨓⫏≰11001020=⫏≰-1210202","layer":3},{"info":"⫏≰21122200≀⫉⫏≰10122100=⫏≰10212112","layer":3},{"info":"⫏≰-1210202⨚⇆⫏≰10212112=NaN","layer":2},{"info":"⫏≰-100022211⨽∌NaN=NaN","layer":1},{"info":"⫏≰1110021⨻⩈⩔⫏≰2211111=⫏≰-20110","layer":3},{"info":"⩦⊞⫏≰2111012=⫏≰-2010002","layer":3},{"info":"⫏≰-20110⊢⫏≰-2010002=⫏≰10212","layer":2},{"info":"≪⫏≰10212=⫏≰1020211","layer":1},{"info":"NaN⨻⩈⩔⫏≰1020211=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"⊵⊁(((≸$2663$)⨴∎)⪨⊡(($1943$≭$4523$)⇗⋫))","expression":"⊵⊁(((≸⫏≰10122122)⨴∎)⪨⊡((⫏≰2122222≭⫏≰20012112)⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3883,"operation_count":6,"complexity_ratio":647.1666666666666,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2663,"base":3}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1943,"base":3},"right_expr":{"type":"numeric_atoms","value":4523,"base":3}}}}},"used_operators":["AvED76WdY7","kuIXHzHcAH","CpSg5vQTgA","eOf03JbCpp","hpqmaQFPrd","rxpJgHHUmx"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","rxpJgHHUmx","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2663","layer":4},{"info":"compute unary expreesion, input=2663, 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":3},{"info":"compute unary expreesion, input=58, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=-61","layer":2},{"info":"number node, value=1943","layer":4},{"info":"number node, value=4523","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=4523, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-61, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊵⊁(((≸⫏≰10122122)⨴∎)⪨⊡((⫏≰2122222≭⫏≰20012112)⇗⋫))=NaN","reverse_text":"NaN=⊵⊁(((≸⫏≰10122122)⨴∎)⪨⊡((⫏≰2122222≭⫏≰20012112)⇗⋫))","cot":[{"info":"≸⫏≰10122122=⫏≰2011","layer":3},{"info":"⫏≰2011⨴∎=⫏≰-2021","layer":2},{"info":"⫏≰2122222≭⫏≰20012112=NaN","layer":3},{"info":"NaN⇗⋫=NaN","layer":2},{"info":"⫏≰-2021⪨⊡NaN=NaN","layer":1},{"info":"⊵⊁NaN=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"(⪭⩑⪱($6798$⫣⪄⊒$2939$≓∲$1035$⪨⊡$4000$))≹⇙⪍(((∥⊫$1001$)⨳⩥⨓$5542$∥⊢⊲$2784$)⪡(⇜⊴$5255$)⫗⊷⫓($2486$↸$3384$))","expression":"(⪭⩑⪱(⫏≰100022210⫣⪄⊒⫏≰11000212≓∲⫏≰1102100⪨⊡⫏≰12111011))≹⇙⪍(((∥⊫⫏≰1101002)⨳⩥⨓⫏≰21121021∥⊢⊲⫏≰10211010)⪡(⇜⊴⫏≰21012122)⫗⊷⫓(⫏≰10102002↸⫏≰11122100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":98415,"operation_count":12,"complexity_ratio":8201.25,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6798,"base":3},"right_expr":{"type":"numeric_atoms","value":2939,"base":3}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1035,"base":3},"right_expr":{"type":"numeric_atoms","value":4000,"base":3}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1001,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5542,"base":3},"right_expr":{"type":"numeric_atoms","value":2784,"base":3}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":5255,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2486,"base":3},"right_expr":{"type":"numeric_atoms","value":3384,"base":3}}}}},"used_operators":["AHs5Up7iyr","SIgE0bArFf","s1XTVnmDOJ","RabNbG55vr","kuIXHzHcAH","oraRL2iQuh","nCS4ZIUYfx","P8v4zCKN1o","v1UQAVDJRr","zashukvMKz","XwDhCwWbUn","1eCjFl0mb9"],"dependent_operators":["dWAJyo7jo9","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6798","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=6798, right_input=2939, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-4550","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=4000","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=4000, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4550, right_input=0, 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":2},{"info":"compute unary expreesion, input=67, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1869","layer":3},{"info":"number node, value=5542","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=5542, right_input=2784, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1869, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=5255","layer":4},{"info":"compute unary expreesion, input=5255, 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=-1226466","layer":3},{"info":"number node, value=2486","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=3384, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2486","layer":3},{"info":"compute binary expreesion, left_input=-1226466, right_input=2486, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪭⩑⪱(⫏≰100022210⫣⪄⊒⫏≰11000212≓∲⫏≰1102100⪨⊡⫏≰12111011))≹⇙⪍(((∥⊫⫏≰1101002)⨳⩥⨓⫏≰21121021∥⊢⊲⫏≰10211010)⪡(⇜⊴⫏≰21012122)⫗⊷⫓(⫏≰10102002↸⫏≰11122100))=NaN","reverse_text":"NaN=(⪭⩑⪱(⫏≰100022210⫣⪄⊒⫏≰11000212≓∲⫏≰1102100⪨⊡⫏≰12111011))≹⇙⪍(((∥⊫⫏≰1101002)⨳⩥⨓⫏≰21121021∥⊢⊲⫏≰10211010)⪡(⇜⊴⫏≰21012122)⫗⊷⫓(⫏≰10102002↸⫏≰11122100))","cot":[{"info":"⫏≰100022210⫣⪄⊒⫏≰11000212=⫏≰-20020112","layer":3},{"info":"⫏≰1102100⪨⊡⫏≰12111011=⫏≰0","layer":3},{"info":"⫏≰-20020112≓∲⫏≰0=⫏≰2111","layer":2},{"info":"⪭⩑⪱⫏≰2111=⫏≰120122201221000","layer":1},{"info":"∥⊫⫏≰1101002=⫏≰2120020","layer":3},{"info":"⫏≰21121021∥⊢⊲⫏≰10211010=NaN","layer":3},{"info":"⫏≰2120020⨳⩥⨓NaN=NaN","layer":2},{"info":"⇜⊴⫏≰21012122=⫏≰-2022022101200","layer":3},{"info":"⫏≰10102002↸⫏≰11122100=⫏≰10102002","layer":3},{"info":"⫏≰-2022022101200⫗⊷⫓⫏≰10102002=⫏≰-11222","layer":2},{"info":"NaN⪡⫏≰-11222=NaN","layer":1},{"info":"⫏≰120122201221000≹⇙⪍NaN=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"(($1765$∝$1349$)∀⇚≩$1057$⫯⪬∳$2144$)⪟⇏($3052$⊮⊟↴$1788$⨼⩣$1714$↤⩊$3270$)≥⨤⩑(⇾⩊⇾$1395$)⩁⩘($2259$⇷$1755$)⩧⪆($2223$⨽$1617$)⪢(⫇$2207$)","expression":"((⫏≰2102101∝⫏≰1211222)∀⇚≩⫏≰1110011⫯⪬∳⫏≰2221102)⪟⇏(⫏≰11012001⊮⊟↴⫏≰2110020⨼⩣⫏≰2100111↤⩊⫏≰11111010)≥⨤⩑(⇾⩊⇾⫏≰1220200)⩁⩘(⫏≰10002200⇷⫏≰2102000)⩧⪆(⫏≰10001100⨽⫏≰2012220)⪢(⫇⫏≰10000202)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1361397,"operation_count":15,"complexity_ratio":90759.8,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1765,"base":3},"right_expr":{"type":"numeric_atoms","value":1349,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1057,"base":3},"right_expr":{"type":"numeric_atoms","value":2144,"base":3}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3052,"base":3},"right_expr":{"type":"numeric_atoms","value":1788,"base":3}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1714,"base":3},"right_expr":{"type":"numeric_atoms","value":3270,"base":3}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1395,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2259,"base":3},"right_expr":{"type":"numeric_atoms","value":1755,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2223,"base":3},"right_expr":{"type":"numeric_atoms","value":1617,"base":3}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2207,"base":3}}}}},"used_operators":["gJLn6v0xnP","GODebY97qR","LRNGc0VcxI","cTDWOvIxvz","d7ASUq0ydm","JxwMv5le6e","QDVgd2eftb","13rbtpv6ld","Ikt5ks8PT7","gub5Cegaqo","bx9Z9DAK5y","mp7IySMOzn","dWAJyo7jo9","8HhzD0ZcuI","YjI8oCXuph"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","X99M06cbEe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eewbuw0ToL","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1765","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=1349, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1770","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=2144","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2144, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3174","layer":3},{"info":"compute binary expreesion, left_input=1770, right_input=3174, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3052","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=1788, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=3270, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":1},{"info":"number node, value=1395","layer":4},{"info":"compute unary expreesion, input=1395, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-19041","layer":3},{"info":"number node, value=2259","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=1755, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3510","layer":3},{"info":"compute binary expreesion, left_input=-19041, right_input=3510, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14988","layer":2},{"info":"number node, value=2223","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=1617, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14828724","layer":3},{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-3200","layer":3},{"info":"compute binary expreesion, left_input=-14828724, right_input=-3200, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14988, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2102101∝⫏≰1211222)∀⇚≩⫏≰1110011⫯⪬∳⫏≰2221102)⪟⇏(⫏≰11012001⊮⊟↴⫏≰2110020⨼⩣⫏≰2100111↤⩊⫏≰11111010)≥⨤⩑(⇾⩊⇾⫏≰1220200)⩁⩘(⫏≰10002200⇷⫏≰2102000)⩧⪆(⫏≰10001100⨽⫏≰2012220)⪢(⫇⫏≰10000202)=⫏≰1200201","reverse_text":"⫏≰1200201=((⫏≰2102101∝⫏≰1211222)∀⇚≩⫏≰1110011⫯⪬∳⫏≰2221102)⪟⇏(⫏≰11012001⊮⊟↴⫏≰2110020⨼⩣⫏≰2100111↤⩊⫏≰11111010)≥⨤⩑(⇾⩊⇾⫏≰1220200)⩁⩘(⫏≰10002200⇷⫏≰2102000)⩧⪆(⫏≰10001100⨽⫏≰2012220)⪢(⫇⫏≰10000202)","cot":[{"info":"⫏≰2102101∝⫏≰1211222=⫏≰2102120","layer":3},{"info":"⫏≰1110011⫯⪬∳⫏≰2221102=⫏≰11100120","layer":3},{"info":"⫏≰2102120∀⇚≩⫏≰11100120=NaN","layer":2},{"info":"⫏≰11012001⊮⊟↴⫏≰2110020=⫏≰0","layer":3},{"info":"⫏≰2100111↤⩊⫏≰11111010=NaN","layer":3},{"info":"⫏≰0⨼⩣NaN=NaN","layer":2},{"info":"NaN⪟⇏NaN=NaN","layer":1},{"info":"⇾⩊⇾⫏≰1220200=⫏≰-222010020","layer":3},{"info":"⫏≰10002200⇷⫏≰2102000=⫏≰11211000","layer":3},{"info":"⫏≰-222010020⩁⩘⫏≰11211000=⫏≰202120010","layer":2},{"info":"⫏≰10001100⨽⫏≰2012220=⫏≰-1000220101012000","layer":3},{"info":"⫇⫏≰10000202=⫏≰-11101112","layer":3},{"info":"⫏≰-1000220101012000⪢⫏≰-11101112=NaN","layer":2},{"info":"⫏≰202120010⩧⪆NaN=NaN","layer":1},{"info":"NaN≥⨤⩑NaN=⫏≰1200201","layer":0}]}
{"id":404,"expression_no_base_symbol":"∡(($3774$⪨≂$4287$)⩦(≻⋜$2446$)⪑⩈)","expression":"∡((⫏≰12011210⪨≂⫏≰12212210)⩦(≻⋜⫏≰10100121)⪑⩈)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":16274,"operation_count":5,"complexity_ratio":3254.8,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3774,"base":3},"right_expr":{"type":"numeric_atoms","value":4287,"base":3}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2446,"base":3}}}}},"used_operators":["pRsWfj4Fpp","C6VvDP6HwP","0kmYd0q39Y","sdazOOVcIp","3tj9sqzovi"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3774","layer":4},{"info":"number node, value=4287","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=4287, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-924","layer":3},{"info":"number node, value=2446","layer":4},{"info":"compute unary expreesion, input=2446, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-924, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∡((⫏≰12011210⪨≂⫏≰12212210)⩦(≻⋜⫏≰10100121)⪑⩈)=NaN","reverse_text":"NaN=∡((⫏≰12011210⪨≂⫏≰12212210)⩦(≻⋜⫏≰10100121)⪑⩈)","cot":[{"info":"⫏≰12011210⪨≂⫏≰12212210=⫏≰-1021020","layer":3},{"info":"≻⋜⫏≰10100121=NaN","layer":3},{"info":"⫏≰-1021020⩦NaN=NaN","layer":2},{"info":"NaN⪑⩈=NaN","layer":1},{"info":"∡NaN=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"(⇉-⫰(↔$4164$))⪭($1215$⪕$2245$)⪝($5190$∼$1126$)⪁(⊑(($2837$⊉≛↸$3070$)⇴$1989$⫁⪎$5216$))","expression":"(⇉-⫰(↔⫏≰12201020))⪭(⫏≰1200000⪕⫏≰10002011)⪝(⫏≰21010020∼⫏≰1112201)⪁(⊑((⫏≰10220002⊉≛↸⫏≰11012201)⇴⫏≰2201200⫁⪎⫏≰21011012))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":520373,"operation_count":11,"complexity_ratio":47306.63636363636,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4164,"base":3}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1215,"base":3},"right_expr":{"type":"numeric_atoms","value":2245,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5190,"base":3},"right_expr":{"type":"numeric_atoms","value":1126,"base":3}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2837,"base":3},"right_expr":{"type":"numeric_atoms","value":3070,"base":3}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1989,"base":3},"right_expr":{"type":"numeric_atoms","value":5216,"base":3}}}}},"used_operators":["I7sXao9hZE","j9kHMeSvPp","IGFM8TAlm9","ruOEQAzv1W","wicAB68Tmb","umQnsF7QlU","DyGG3AbaNP","IkUmn0D7oy","4JB6nKBMSY","DZ8iAZOCBD","xRrnTEsQ6j"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","COABgblf1C","xUOZtlo3hN","eH2TOUuTDT","eewbuw0ToL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4164","layer":4},{"info":"compute unary expreesion, input=4164, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3891","layer":3},{"info":"compute unary expreesion, input=-3891, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=1215","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=2245, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1086","layer":3},{"info":"number node, value=5190","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=5190, right_input=1126, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1086, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-194","layer":1},{"info":"number node, value=2837","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=3070, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5674","layer":3},{"info":"number node, value=1989","layer":4},{"info":"number node, value=5216","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=5216, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3227","layer":3},{"info":"compute binary expreesion, left_input=5674, right_input=-3227, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=27204","layer":2},{"info":"compute unary expreesion, input=27204, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-194, right_input=192, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇉-⫰(↔⫏≰12201020))⪭(⫏≰1200000⪕⫏≰10002011)⪝(⫏≰21010020∼⫏≰1112201)⪁(⊑((⫏≰10220002⊉≛↸⫏≰11012201)⇴⫏≰2201200⫁⪎⫏≰21011012))=NaN","reverse_text":"NaN=(⇉-⫰(↔⫏≰12201020))⪭(⫏≰1200000⪕⫏≰10002011)⪝(⫏≰21010020∼⫏≰1112201)⪁(⊑((⫏≰10220002⊉≛↸⫏≰11012201)⇴⫏≰2201200⫁⪎⫏≰21011012))","cot":[{"info":"↔⫏≰12201020=⫏≰-12100010","layer":3},{"info":"⇉-⫰⫏≰-12100010=⫏≰202","layer":2},{"info":"⫏≰1200000⪕⫏≰10002011=⫏≰1111020","layer":3},{"info":"⫏≰21010020∼⫏≰1112201=NaN","layer":3},{"info":"⫏≰1111020⪝NaN=NaN","layer":2},{"info":"⫏≰202⪭NaN=⫏≰-21012","layer":1},{"info":"⫏≰10220002⊉≛↸⫏≰11012201=⫏≰21210011","layer":3},{"info":"⫏≰2201200⫁⪎⫏≰21011012=⫏≰-11102112","layer":3},{"info":"⫏≰21210011⇴⫏≰-11102112=⫏≰1101022120","layer":2},{"info":"⊑⫏≰1101022120=⫏≰21010","layer":1},{"info":"⫏≰-21012⪁⫏≰21010=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"(⫯(($5996$⨉)≦≮≮))⩖⊿(⊆⋠($1044$⩌⋺$1366$))⇂≾⫗($1001$⨓$2258$⪡($1004$↡⊰⫅$2327$))","expression":"(⫯((⫏≰22020002⨉)≦≮≮))⩖⊿(⊆⋠(⫏≰1102200⩌⋺⫏≰1212121))⇂≾⫗(⫏≰1101002⨓⫏≰10002122⪡(⫏≰1101012↡⊰⫅⫏≰10012012))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41116,"operation_count":10,"complexity_ratio":4111.6,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":5996,"base":3}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1044,"base":3},"right_expr":{"type":"numeric_atoms","value":1366,"base":3}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1001,"base":3},"right_expr":{"type":"numeric_atoms","value":2258,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":2327,"base":3}}}}},"used_operators":["RZ5CV9rWsJ","H6BK1Evt7c","D4vGDi5EA2","aMUSaJuDRU","aBQ6xLxuTc","EBhcHTkKd8","g7Hmc5v1ko","oraRL2iQuh","3ViojmjbAp","VCtxkLNOzz"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⫏≰-22112002210212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5996","layer":4},{"info":"compute unary expreesion, input=5996, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=14320","layer":3},{"info":"compute unary expreesion, input=14320, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-42960","layer":2},{"info":"compute unary expreesion, input=-42960, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=1130912","layer":1},{"info":"number node, value=1044","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1366, 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=-2531","layer":3},{"info":"compute unary expreesion, input=-2531, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2258, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2261","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2327, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4654","layer":3},{"info":"compute binary expreesion, left_input=-2261, right_input=4654, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=5490","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=5490, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=1130912, right_input=-676, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-4529138","layer":0}],"base":3,"result_base":3,"text":"(⫯((⫏≰22020002⨉)≦≮≮))⩖⊿(⊆⋠(⫏≰1102200⩌⋺⫏≰1212121))⇂≾⫗(⫏≰1101002⨓⫏≰10002122⪡(⫏≰1101012↡⊰⫅⫏≰10012012))=⫏≰-22112002210212","reverse_text":"⫏≰-22112002210212=(⫯((⫏≰22020002⨉)≦≮≮))⩖⊿(⊆⋠(⫏≰1102200⩌⋺⫏≰1212121))⇂≾⫗(⫏≰1101002⨓⫏≰10002122⪡(⫏≰1101012↡⊰⫅⫏≰10012012))","cot":[{"info":"⫏≰22020002⨉=⫏≰201122101","layer":3},{"info":"⫏≰201122101≦≮≮=⫏≰-2011221010","layer":2},{"info":"⫯⫏≰-2011221010=⫏≰2010110022122","layer":1},{"info":"⫏≰1102200⩌⋺⫏≰1212121=⫏≰-10110202","layer":3},{"info":"⊆⋠⫏≰-10110202=⫏≰12110101","layer":2},{"info":"⫏≰1101002⨓⫏≰10002122=⫏≰-10002202","layer":3},{"info":"⫏≰1101012↡⊰⫅⫏≰10012012=⫏≰20101101","layer":3},{"info":"⫏≰-10002202⪡⫏≰20101101=⫏≰21112100","layer":2},{"info":"⫏≰12110101⇂≾⫗⫏≰21112100=⫏≰-221001","layer":1},{"info":"⫏≰2010110022122⩖⊿⫏≰-221001=⫏≰-22112002210212","layer":0}]}
{"id":407,"expression_no_base_symbol":"((($1112$/$6299$)⪬∳)⫚↹⊑(⊢≑≆$3800$⩦$3631$))⇮⋭(⨛$3304$+⪬∐$1052$)⨎($1831$⩘$5392$)⊋($3004$⊘)","expression":"(((⫏≰1112012/⫏≰22122022)⪬∳)⫚↹⊑(⊢≑≆⫏≰12012202⩦⫏≰11222111))⇮⋭(⨛⫏≰11112101+⪬∐⫏≰1102222)⨎(⫏≰2111211⩘⫏≰21101201)⊋(⫏≰11010021⊘)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2018,"operation_count":12,"complexity_ratio":168.16666666666666,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1112,"base":3},"right_expr":{"type":"numeric_atoms","value":6299,"base":3}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3800,"base":3},"right_expr":{"type":"numeric_atoms","value":3631,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3304,"base":3},"right_expr":{"type":"numeric_atoms","value":1052,"base":3}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1831,"base":3},"right_expr":{"type":"numeric_atoms","value":5392,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3004,"base":3}}}}},"used_operators":["vkpjKywKVM","dfKe02y8D2","O9U3z1385E","XhwjNDsVaA","27wFxooxGf","0kmYd0q39Y","rJVOvQCfKK","CoMdbyAt7R","2GS7woTJqF","W4tP9CfskL","cHh1gJQ2o6","gu96TGCTMs"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","g55IO6H4Gj","D4vGDi5EA2","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1112","layer":4},{"info":"number node, value=6299","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=6299, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"number node, value=3800","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=3800, right_input=3631, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7600","layer":3},{"info":"compute unary expreesion, input=7600, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=30852","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=30852, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=3304","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=3304, right_input=1052, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-9912","layer":3},{"info":"compute unary expreesion, input=-9912, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":2},{"info":"number node, value=1831","layer":4},{"info":"number node, value=5392","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=5392, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3004","layer":4},{"info":"compute unary expreesion, input=3004, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 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":2},{"info":"compute binary expreesion, left_input=0, right_input=-5454, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5454","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-5454, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1112012/⫏≰22122022)⪬∳)⫚↹⊑(⊢≑≆⫏≰12012202⩦⫏≰11222111))⇮⋭(⨛⫏≰11112101+⪬∐⫏≰1102222)⨎(⫏≰2111211⩘⫏≰21101201)⊋(⫏≰11010021⊘)=⫏≰2111","reverse_text":"⫏≰2111=(((⫏≰1112012/⫏≰22122022)⪬∳)⫚↹⊑(⊢≑≆⫏≰12012202⩦⫏≰11222111))⇮⋭(⨛⫏≰11112101+⪬∐⫏≰1102222)⨎(⫏≰2111211⩘⫏≰21101201)⊋(⫏≰11010021⊘)","cot":[{"info":"⫏≰1112012/⫏≰22122022=⫏≰0","layer":3},{"info":"⫏≰0⪬∳=⫏≰-222021","layer":2},{"info":"⫏≰12012202⩦⫏≰11222111=⫏≰101102111","layer":3},{"info":"⊢≑≆⫏≰101102111=⫏≰1120022200","layer":2},{"info":"⫏≰-222021⫚↹⊑⫏≰1120022200=⫏≰-121120","layer":1},{"info":"⫏≰11112101+⪬∐⫏≰1102222=⫏≰-111121010","layer":3},{"info":"⨛⫏≰-111121010=⫏≰0","layer":2},{"info":"⫏≰2111211⩘⫏≰21101201=⫏≰12221","layer":3},{"info":"⫏≰11010021⊘=⫏≰0","layer":3},{"info":"⫏≰12221⊋⫏≰0=⫏≰-21111000","layer":2},{"info":"⫏≰0⨎⫏≰-21111000=⫏≰-21111000","layer":1},{"info":"⫏≰-121120⇮⋭⫏≰-21111000=⫏≰2111","layer":0}]}
{"id":408,"expression_no_base_symbol":"(($2328$⇽⩪)⇍⊗($4910$⪄$1676$))∴((⨆≐≲$3820$)⫌⩹⨱)⨟⋌⩍((≪($1657$⫁⪎$9582$))⪔($2269$⊮⊟↴$2114$∽($5830$∪⫐$6634$)))","expression":"((⫏≰10012020⇽⩪)⇍⊗(⫏≰20201212⪄⫏≰2022002))∴((⨆≐≲⫏≰12020111)⫌⩹⨱)⨟⋌⩍((≪(⫏≰2021101⫁⪎⫏≰111010220))⪔(⫏≰10010001⊮⊟↴⫏≰2220022∽(⫏≰21222221∪⫐⫏≰100002201)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20537,"operation_count":13,"complexity_ratio":1579.7692307692307,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":2328,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4910,"base":3},"right_expr":{"type":"numeric_atoms","value":1676,"base":3}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":3820,"base":3}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1657,"base":3},"right_expr":{"type":"numeric_atoms","value":9582,"base":3}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2269,"base":3},"right_expr":{"type":"numeric_atoms","value":2114,"base":3}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5830,"base":3},"right_expr":{"type":"numeric_atoms","value":6634,"base":3}}}}},"used_operators":["rGHVDoGpnC","hrf7POJlIJ","5uvYHDjeKN","FonBHBYJbU","SUmda5xLS4","EBcxylXtPf","Bi9z9uYZqW","GjBEYRfMaF","Qtd6bqUJcN","xRrnTEsQ6j","y4ImoPnbV5","QDVgd2eftb","7YooWSwCyH"],"dependent_operators":["Tcnh7f0tEr","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rJVOvQCfKK","2DDjHMKMc0"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2328","layer":4},{"info":"compute unary expreesion, input=2328, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=5178","layer":3},{"info":"number node, value=4910","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=4910, right_input=1676, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-729473","layer":3},{"info":"compute binary expreesion, left_input=5178, right_input=-729473, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=3820","layer":4},{"info":"compute unary expreesion, input=3820, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=41472600","layer":3},{"info":"compute unary expreesion, input=41472600, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=82946601","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=82946601, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1160","layer":1},{"info":"number node, value=1657","layer":4},{"info":"number node, value=9582","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=9582, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-7925","layer":3},{"info":"compute unary expreesion, input=-7925, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=94971","layer":2},{"info":"number node, value=2269","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=2114, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=5830","layer":4},{"info":"number node, value=6634","layer":4},{"info":"compute binary expreesion, left_input=5830, right_input=6634, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5830","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5830, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17312","layer":2},{"info":"compute binary expreesion, left_input=94971, right_input=-17312, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=1160, right_input=450, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":3,"result_base":3,"text":"((⫏≰10012020⇽⩪)⇍⊗(⫏≰20201212⪄⫏≰2022002))∴((⨆≐≲⫏≰12020111)⫌⩹⨱)⨟⋌⩍((≪(⫏≰2021101⫁⪎⫏≰111010220))⪔(⫏≰10010001⊮⊟↴⫏≰2220022∽(⫏≰21222221∪⫐⫏≰100002201)))=⫏≰0","reverse_text":"⫏≰0=((⫏≰10012020⇽⩪)⇍⊗(⫏≰20201212⪄⫏≰2022002))∴((⨆≐≲⫏≰12020111)⫌⩹⨱)⨟⋌⩍((≪(⫏≰2021101⫁⪎⫏≰111010220))⪔(⫏≰10010001⊮⊟↴⫏≰2220022∽(⫏≰21222221∪⫐⫏≰100002201)))","cot":[{"info":"⫏≰10012020⇽⩪=⫏≰21002210","layer":3},{"info":"⫏≰20201212⪄⫏≰2022002=⫏≰-1101001122112","layer":3},{"info":"⫏≰21002210⇍⊗⫏≰-1101001122112=⫏≰-100001","layer":2},{"info":"⨆≐≲⫏≰12020111=⫏≰2220001000201020","layer":3},{"info":"⫏≰2220001000201020⫌⩹⨱=⫏≰12210002010100100","layer":2},{"info":"⫏≰-100001∴⫏≰12210002010100100=⫏≰1120222","layer":1},{"info":"⫏≰2021101⫁⪎⫏≰111010220=⫏≰-101212112","layer":3},{"info":"≪⫏≰-101212112=⫏≰11211021110","layer":2},{"info":"⫏≰10010001⊮⊟↴⫏≰2220022=⫏≰0","layer":3},{"info":"⫏≰21222221∪⫐⫏≰100002201=⫏≰21222221","layer":3},{"info":"⫏≰0∽⫏≰21222221=⫏≰-212202012","layer":2},{"info":"⫏≰11211021110⪔⫏≰-212202012=⫏≰121200","layer":1},{"info":"⫏≰1120222⨟⋌⩍⫏≰121200=⫏≰0","layer":0}]}
{"id":409,"expression_no_base_symbol":"(($6742$⩹$1484$)∛($8528$⊓⋫)≀⩗∶$1301$⋛$1605$⪛($3943$⩨$1216$))⪓⨏","expression":"((⫏≰100020201⩹⫏≰2000222)∛(⫏≰102200212⊓⋫)≀⩗∶⫏≰1210012⋛⫏≰2012110⪛(⫏≰12102001⩨⫏≰1200001))⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":538,"operation_count":8,"complexity_ratio":67.25,"tree":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":6742,"base":3},"right_expr":{"type":"numeric_atoms","value":1484,"base":3}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":8528,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1301,"base":3},"right_expr":{"type":"numeric_atoms","value":1605,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3943,"base":3},"right_expr":{"type":"numeric_atoms","value":1216,"base":3}}}}},"used_operators":["4X9JU4Jbn6","8INZBEW696","w2537kitQq","2Wsdkap16l","IqGBaFP0uj","uFcxV4UQCh","YbUVn0Rbpy","2DlMacCsIx"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6742","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=6742, right_input=1484, 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=1482","layer":3},{"info":"number node, value=8528","layer":4},{"info":"compute unary expreesion, input=8528, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-8656","layer":3},{"info":"compute binary expreesion, left_input=1482, right_input=-8656, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1301","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=1605, 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=-120483","layer":3},{"info":"number node, value=3943","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=3943, right_input=1216, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-120483, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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":3,"result_base":3,"text":"((⫏≰100020201⩹⫏≰2000222)∛(⫏≰102200212⊓⋫)≀⩗∶⫏≰1210012⋛⫏≰2012110⪛(⫏≰12102001⩨⫏≰1200001))⪓⨏=NaN","reverse_text":"NaN=((⫏≰100020201⩹⫏≰2000222)∛(⫏≰102200212⊓⋫)≀⩗∶⫏≰1210012⋛⫏≰2012110⪛(⫏≰12102001⩨⫏≰1200001))⪓⨏","cot":[{"info":"⫏≰100020201⩹⫏≰2000222=⫏≰2000220","layer":3},{"info":"⫏≰102200212⊓⋫=⫏≰-102212121","layer":3},{"info":"⫏≰2000220∛⫏≰-102212121=⫏≰2111","layer":2},{"info":"⫏≰1210012⋛⫏≰2012110=⫏≰-20010021100","layer":3},{"info":"⫏≰12102001⩨⫏≰1200001=⫏≰0","layer":3},{"info":"⫏≰-20010021100⪛⫏≰0=NaN","layer":2},{"info":"⫏≰2111≀⩗∶NaN=NaN","layer":1},{"info":"NaN⪓⨏=NaN","layer":0}]}
{"id":410,"expression_no_base_symbol":"((⪨⨬$2238$)⪎↠(↩⪖$1357$))≝⊿(∓($1488$⨸⪁$4624$))⋓($7328$↞⋁$5579$⇷(⩏⊷≩$2615$)⪇≇⋚(∨∊⋏($1471$⨒$1116$)))","expression":"((⪨⨬⫏≰10001220)⪎↠(↩⪖⫏≰1212021))≝⊿(∓(⫏≰2001010⨸⪁⫏≰20100021))⋓(⫏≰101001102↞⋁⫏≰21122122⇷(⩏⊷≩⫏≰10120212)⪇≇⋚(∨∊⋏(⫏≰2000111⨒⫏≰1112100)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":433,"operation_count":13,"complexity_ratio":33.30769230769231,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2238,"base":3}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1357,"base":3}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1488,"base":3},"right_expr":{"type":"numeric_atoms","value":4624,"base":3}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":7328,"base":3},"right_expr":{"type":"numeric_atoms","value":5579,"base":3}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2615,"base":3}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1471,"base":3},"right_expr":{"type":"numeric_atoms","value":1116,"base":3}}}}},"used_operators":["T2fj7uvVaJ","OKKcZfAt5B","3tVxb0NHM4","5obUd6DV38","fG6uBQFnGz","OwUj7dcsQK","g55IO6H4Gj","3sJ7IOPOlU","mp7IySMOzn","RqrPlJkxDo","uOZ1tnYMDE","R5aXW34M0v","y75s1iXyHd"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","12rbrZMWeM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","23Mk6UjR3U","12rbrZMWeM","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2238","layer":4},{"info":"compute unary expreesion, input=2238, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=1357","layer":4},{"info":"compute unary expreesion, input=1357, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-11124","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-11124, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"number node, value=1488","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=4624, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12224","layer":3},{"info":"compute unary expreesion, input=12224, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-188232","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=-188232, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=375986","layer":1},{"info":"number node, value=7328","layer":4},{"info":"number node, value=5579","layer":4},{"info":"compute binary expreesion, left_input=7328, right_input=5579, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2615","layer":4},{"info":"compute unary expreesion, input=2615, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4929","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4929, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9858","layer":2},{"info":"number node, value=1471","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=1116, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-8454","layer":3},{"info":"compute unary expreesion, input=-8454, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-247201","layer":2},{"info":"compute binary expreesion, left_input=9858, right_input=-247201, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=375986, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⪨⨬⫏≰10001220)⪎↠(↩⪖⫏≰1212021))≝⊿(∓(⫏≰2001010⨸⪁⫏≰20100021))⋓(⫏≰101001102↞⋁⫏≰21122122⇷(⩏⊷≩⫏≰10120212)⪇≇⋚(∨∊⋏(⫏≰2000111⨒⫏≰1112100)))=⫏≰0","reverse_text":"⫏≰0=((⪨⨬⫏≰10001220)⪎↠(↩⪖⫏≰1212021))≝⊿(∓(⫏≰2001010⨸⪁⫏≰20100021))⋓(⫏≰101001102↞⋁⫏≰21122122⇷(⩏⊷≩⫏≰10120212)⪇≇⋚(∨∊⋏(⫏≰2000111⨒⫏≰1112100)))","cot":[{"info":"⪨⨬⫏≰10001220=⫏≰-201111","layer":3},{"info":"↩⪖⫏≰1212021=⫏≰-120021000","layer":3},{"info":"⫏≰-201111⪎↠⫏≰-120021000=⫏≰-2001","layer":2},{"info":"⫏≰2001010⨸⪁⫏≰20100021=⫏≰121202202","layer":3},{"info":"∓⫏≰121202202=⫏≰-100120012120","layer":2},{"info":"⫏≰-2001≝⊿⫏≰-100120012120=⫏≰201002202102","layer":1},{"info":"⫏≰101001102↞⋁⫏≰21122122=NaN","layer":3},{"info":"⩏⊷≩⫏≰10120212=⫏≰20202120","layer":3},{"info":"NaN⇷⫏≰20202120=⫏≰111112010","layer":2},{"info":"⫏≰2000111⨒⫏≰1112100=⫏≰-102121010","layer":3},{"info":"∨∊⋏⫏≰-102121010=⫏≰-110120002121","layer":2},{"info":"⫏≰111112010⪇≇⋚⫏≰-110120002121=⫏≰0","layer":1},{"info":"⫏≰201002202102⋓⫏≰0=⫏≰0","layer":0}]}
{"id":411,"expression_no_base_symbol":"(⇤←(⋼∭⪍$3269$⋛$2053$))⇌⫙⪟(($1151$⩺⪪$1672$∪⫐$1166$+⪬∐$1656$)≑≱⪘)","expression":"(⇤←(⋼∭⪍⫏≰11111002⋛⫏≰2211001))⇌⫙⪟((⫏≰1120122⩺⪪⫏≰2021221∪⫐⫏≰1121012+⪬∐⫏≰2021100)≑≱⪘)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1850141,"operation_count":8,"complexity_ratio":231267.625,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3269,"base":3},"right_expr":{"type":"numeric_atoms","value":2053,"base":3}}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1151,"base":3},"right_expr":{"type":"numeric_atoms","value":1672,"base":3}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1166,"base":3},"right_expr":{"type":"numeric_atoms","value":1656,"base":3}}}}},"used_operators":["AFVx7xoS7T","jfAgQ2OQeM","DbCuESL50I","YbUVn0Rbpy","tGSeddj7UK","7YooWSwCyH","uvdQJvN4PV","2GS7woTJqF"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rJVOvQCfKK","2DDjHMKMc0","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","g55IO6H4Gj","D4vGDi5EA2"],"result":"⫏≰11012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3269","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=3269, right_input=2053, 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=-102771","layer":3},{"info":"compute unary expreesion, input=-102771, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-616524","layer":2},{"info":"compute unary expreesion, input=-616524, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=616958","layer":1},{"info":"number node, value=1151","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1672, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1656, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3498","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=-3498, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-1818","layer":2},{"info":"compute unary expreesion, input=-1818, 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=61442","layer":1},{"info":"compute binary expreesion, left_input=616958, right_input=61442, 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":3,"result_base":3,"text":"(⇤←(⋼∭⪍⫏≰11111002⋛⫏≰2211001))⇌⫙⪟((⫏≰1120122⩺⪪⫏≰2021221∪⫐⫏≰1121012+⪬∐⫏≰2021100)≑≱⪘)=⫏≰11012","reverse_text":"⫏≰11012=(⇤←(⋼∭⪍⫏≰11111002⋛⫏≰2211001))⇌⫙⪟((⫏≰1120122⩺⪪⫏≰2021221∪⫐⫏≰1121012+⪬∐⫏≰2021100)≑≱⪘)","cot":[{"info":"⫏≰11111002⋛⫏≰2211001=⫏≰-12012222100","layer":3},{"info":"⋼∭⪍⫏≰-12012222100=⫏≰-1011022201020","layer":2},{"info":"⇤←⫏≰-1011022201020=⫏≰1011100022022","layer":1},{"info":"⫏≰1120122⩺⪪⫏≰2021221=⫏≰-2111100","layer":3},{"info":"⫏≰1121012+⪬∐⫏≰2021100=⫏≰-11210120","layer":3},{"info":"⫏≰-2111100∪⫐⫏≰-11210120=⫏≰-2111100","layer":2},{"info":"⫏≰-2111100≑≱⪘=⫏≰10010021122","layer":1},{"info":"⫏≰1011100022022⇌⫙⪟⫏≰10010021122=⫏≰11012","layer":0}]}
{"id":412,"expression_no_base_symbol":"($6008$⨿$2512$⨘)≚⊃≕($4994$⪥$2257$∙∹∝(⨝⨆$1012$))⩇∃⫛((≘$2720$)⇴∐($4549$⇄$2252$))⇻⋧≁($1384$⨜⨶$2233$⪄(≅≯⇸$1898$))","expression":"(⫏≰22020112⨿⫏≰10110001⨘)≚⊃≕(⫏≰20211222⪥⫏≰10002121∙∹∝(⨝⨆⫏≰1101111))⩇∃⫛((≘⫏≰10201202)⇴∐(⫏≰20020111⇄⫏≰10002102))⇻⋧≁(⫏≰1220021⨜⨶⫏≰10001201⪄(≅≯⇸⫏≰2121022))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5667,"operation_count":14,"complexity_ratio":404.7857142857143,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":6008,"base":3},"right_expr":{"type":"numeric_atoms","value":2512,"base":3}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4994,"base":3},"right_expr":{"type":"numeric_atoms","value":2257,"base":3}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1012,"base":3}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2720,"base":3}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4549,"base":3},"right_expr":{"type":"numeric_atoms","value":2252,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1384,"base":3},"right_expr":{"type":"numeric_atoms","value":2233,"base":3}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1898,"base":3}}}}},"used_operators":["1aApVXNlOP","Bmrmz2XGnR","ljcfZBUpm8","abYXlopdE0","HmxsFra2vL","QbnwKVWMIQ","bQ67fsrMVf","jCPkEVoL5K","HnzytWxmAO","tcjXMdvYtA","3EYGwJThht","SUmda5xLS4","HiPekx5b7W","apS25hmuAe"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","tifHPKVTfV","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","EBcxylXtPf","QMFrweE19q"],"result":"⫏≰-121201210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6008","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=6008, right_input=2512, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-3008","layer":2},{"info":"number node, value=4994","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=4994, right_input=2257, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24628","layer":3},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=803","layer":3},{"info":"compute binary expreesion, left_input=24628, right_input=803, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3008, 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=-12198","layer":1},{"info":"number node, value=2720","layer":4},{"info":"compute unary expreesion, input=2720, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=5998384","layer":3},{"info":"number node, value=4549","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=2252, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5998384, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=4652","layer":2},{"info":"number node, value=1384","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=2233, 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=-4210","layer":3},{"info":"number node, value=1898","layer":4},{"info":"compute unary expreesion, input=1898, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=15269","layer":3},{"info":"compute binary expreesion, left_input=-4210, right_input=15269, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=4652, right_input=3979, 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=-12198, right_input=-447, 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=-12198","layer":0}],"base":3,"result_base":3,"text":"(⫏≰22020112⨿⫏≰10110001⨘)≚⊃≕(⫏≰20211222⪥⫏≰10002121∙∹∝(⨝⨆⫏≰1101111))⩇∃⫛((≘⫏≰10201202)⇴∐(⫏≰20020111⇄⫏≰10002102))⇻⋧≁(⫏≰1220021⨜⨶⫏≰10001201⪄(≅≯⇸⫏≰2121022))=⫏≰-121201210","reverse_text":"⫏≰-121201210=(⫏≰22020112⨿⫏≰10110001⨘)≚⊃≕(⫏≰20211222⪥⫏≰10002121∙∹∝(⨝⨆⫏≰1101111))⩇∃⫛((≘⫏≰10201202)⇴∐(⫏≰20020111⇄⫏≰10002102))⇻⋧≁(⫏≰1220021⨜⨶⫏≰10001201⪄(≅≯⇸⫏≰2121022))","cot":[{"info":"⫏≰22020112⨿⫏≰10110001=⫏≰-102211","layer":3},{"info":"⫏≰-102211⨘=⫏≰-11010102","layer":2},{"info":"⫏≰20211222⪥⫏≰10002121=⫏≰1020210011","layer":3},{"info":"⨝⨆⫏≰1101111=⫏≰1002202","layer":3},{"info":"⫏≰1020210011∙∹∝⫏≰1002202=⫏≰0","layer":2},{"info":"⫏≰-11010102≚⊃≕⫏≰0=⫏≰-121201210","layer":1},{"info":"≘⫏≰10201202=⫏≰102021202020101","layer":3},{"info":"⫏≰20020111⇄⫏≰10002102=⫏≰0","layer":3},{"info":"⫏≰102021202020101⇴∐⫏≰0=⫏≰20101022","layer":2},{"info":"⫏≰1220021⨜⨶⫏≰10001201=⫏≰-12202221","layer":3},{"info":"≅≯⇸⫏≰2121022=⫏≰202221112","layer":3},{"info":"⫏≰-12202221⪄⫏≰202221112=⫏≰12110101","layer":2},{"info":"⫏≰20101022⇻⋧≁⫏≰12110101=⫏≰-121120","layer":1},{"info":"⫏≰-121201210⩇∃⫛⫏≰-121120=⫏≰-121201210","layer":0}]}
{"id":413,"expression_no_base_symbol":"((⇵⪽$6012$)⋛(⇁⨣⪵$1878$)⫡⨏($1002$⊬⨰$2488$)↢(≋$4590$))⩧⪆$1014$⊢$3735$⪪$4724$∋$1943$∌↝($2851$↸$5257$-$3274$≎⊠⪸$1833$)","expression":"((⇵⪽⫏≰22020200)⋛(⇁⨣⪵⫏≰2120120)⫡⨏(⫏≰1101010⊬⨰⫏≰10102011)↢(≋⫏≰20022000))⩧⪆⫏≰1101120⊢⫏≰12010100⪪⫏≰20110222∋⫏≰2122222∌↝(⫏≰10220121↸⫏≰21012201-⫏≰11111021≎⊠⪸⫏≰2111220)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3719,"operation_count":15,"complexity_ratio":247.93333333333334,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":6012,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1878,"base":3}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1002,"base":3},"right_expr":{"type":"numeric_atoms","value":2488,"base":3}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":4590,"base":3}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1014,"base":3},"right_expr":{"type":"numeric_atoms","value":3735,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4724,"base":3},"right_expr":{"type":"numeric_atoms","value":1943,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2851,"base":3},"right_expr":{"type":"numeric_atoms","value":5257,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3274,"base":3},"right_expr":{"type":"numeric_atoms","value":1833,"base":3}}}}},"used_operators":["Ikt5ks8PT7","QMFrweE19q","YbUVn0Rbpy","ZGCBLdVRRX","inkyxCbjAn","WR6HLWljOP","s3Fd5m9Dh2","61wBmkZwlr","9Isq31Ruls","xD69zh8xqp","5twsqlHp2o","ukq6epAj5P","rysDP5nf3Z","1eCjFl0mb9","bJkvcejdHO"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","U7g4x0WXJJ","B5M0gjZbta","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","7j4O788W3g","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫏≰22111212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6012","layer":4},{"info":"compute unary expreesion, input=6012, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=nan","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2488, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9898","layer":3},{"info":"number node, value=4590","layer":4},{"info":"compute unary expreesion, input=4590, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4590","layer":3},{"info":"compute binary expreesion, left_input=9898, right_input=4590, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=9414","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9414, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1014","layer":4},{"info":"number node, value=3735","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=3735, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2272","layer":3},{"info":"number node, value=4724","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=1943, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4217872","layer":3},{"info":"compute binary expreesion, left_input=-2272, right_input=4217872, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=2851","layer":4},{"info":"number node, value=5257","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=5257, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2851","layer":3},{"info":"number node, value=3274","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=1833, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=847493","layer":3},{"info":"compute binary expreesion, left_input=2851, right_input=847493, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-844642","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=-844642, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6206, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=6206","layer":0}],"base":3,"result_base":3,"text":"((⇵⪽⫏≰22020200)⋛(⇁⨣⪵⫏≰2120120)⫡⨏(⫏≰1101010⊬⨰⫏≰10102011)↢(≋⫏≰20022000))⩧⪆⫏≰1101120⊢⫏≰12010100⪪⫏≰20110222∋⫏≰2122222∌↝(⫏≰10220121↸⫏≰21012201-⫏≰11111021≎⊠⪸⫏≰2111220)=⫏≰22111212","reverse_text":"⫏≰22111212=((⇵⪽⫏≰22020200)⋛(⇁⨣⪵⫏≰2120120)⫡⨏(⫏≰1101010⊬⨰⫏≰10102011)↢(≋⫏≰20022000))⩧⪆⫏≰1101120⊢⫏≰12010100⪪⫏≰20110222∋⫏≰2122222∌↝(⫏≰10220121↸⫏≰21012201-⫏≰11111021≎⊠⪸⫏≰2111220)","cot":[{"info":"⇵⪽⫏≰22020200=NaN","layer":3},{"info":"⇁⨣⪵⫏≰2120120=NaN","layer":3},{"info":"NaN⋛NaN=NaN","layer":2},{"info":"⫏≰1101010⊬⨰⫏≰10102011=⫏≰111120121","layer":3},{"info":"≋⫏≰20022000=⫏≰20022000","layer":3},{"info":"⫏≰111120121↢⫏≰20022000=⫏≰110220200","layer":2},{"info":"NaN⫡⨏⫏≰110220200=NaN","layer":1},{"info":"⫏≰1101120⊢⫏≰12010100=⫏≰-10010011","layer":3},{"info":"⫏≰20110222∋⫏≰2122222=⫏≰21221021211111","layer":3},{"info":"⫏≰-10010011⪪⫏≰21221021211111=⫏≰-22111212","layer":2},{"info":"⫏≰10220121↸⫏≰21012201=⫏≰10220121","layer":3},{"info":"⫏≰11111021≎⊠⪸⫏≰2111220=⫏≰1121001112122","layer":3},{"info":"⫏≰10220121-⫏≰1121001112122=⫏≰-1120220122001","layer":2},{"info":"⫏≰-22111212∌↝⫏≰-1120220122001=⫏≰-22111212","layer":1},{"info":"NaN⩧⪆⫏≰-22111212=⫏≰22111212","layer":0}]}
{"id":414,"expression_no_base_symbol":"((($1779$⋻⩜⩜$2862$)⪃↞⩐)↸($4649$↳≱$4519$)⫁($1509$≦↸$6164$))∠⫱(($1641$⩧⪆$2068$)⪍↜⋙($4463$∀⋜↑)⫃⨇(≀↧⇸($2941$↛⩡⫤)))","expression":"(((⫏≰2102220⋻⩜⩜⫏≰10221000)⪃↞⩐)↸(⫏≰20101012↳≱⫏≰20012101)⫁(⫏≰2001220≦↸⫏≰22110022))∠⫱((⫏≰2020210⩧⪆⫏≰2211121)⪍↜⋙(⫏≰20010022∀⋜↑)⫃⨇(≀↧⇸(⫏≰11000221↛⩡⫤)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":94136,"operation_count":13,"complexity_ratio":7241.2307692307695,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1779,"base":3},"right_expr":{"type":"numeric_atoms","value":2862,"base":3}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4649,"base":3},"right_expr":{"type":"numeric_atoms","value":4519,"base":3}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1509,"base":3},"right_expr":{"type":"numeric_atoms","value":6164,"base":3}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1641,"base":3},"right_expr":{"type":"numeric_atoms","value":2068,"base":3}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":4463,"base":3}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2941,"base":3}}}}},"used_operators":["QvoQhV0rrE","1eCjFl0mb9","grXIztHqDa","oDCm7WA9JY","0ajvFaJAv0","JwTKLfZU96","RygbFNSyEJ","09Ly4LVMIf","L05ObWFQCd","Ikt5ks8PT7","KipPnG1M2J","ljTHtUsqzn","FU0Cs4j7VP"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","cHh1gJQ2o6","AHs5Up7iyr","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","XPYlsWDdGa","23Mk6UjR3U","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫏≰111021220202121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1779","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=2862, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3558","layer":3},{"info":"compute unary expreesion, input=3558, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=21654","layer":2},{"info":"number node, value=4649","layer":4},{"info":"number node, value=4519","layer":4},{"info":"compute binary expreesion, left_input=4649, right_input=4519, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=6164","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=6164, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14665","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14665, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=21654, right_input=160, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=21654","layer":1},{"info":"number node, value=1641","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=2068, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2068","layer":3},{"info":"number node, value=4463","layer":4},{"info":"compute unary expreesion, input=4463, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-2068, right_input=-484, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=10525","layer":2},{"info":"number node, value=2941","layer":4},{"info":"compute unary expreesion, input=2941, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-440180","layer":3},{"info":"compute unary expreesion, input=-440180, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=1760720","layer":2},{"info":"compute binary expreesion, left_input=10525, right_input=1760720, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7042912","layer":1},{"info":"compute binary expreesion, left_input=21654, right_input=-7042912, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=7064566","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2102220⋻⩜⩜⫏≰10221000)⪃↞⩐)↸(⫏≰20101012↳≱⫏≰20012101)⫁(⫏≰2001220≦↸⫏≰22110022))∠⫱((⫏≰2020210⩧⪆⫏≰2211121)⪍↜⋙(⫏≰20010022∀⋜↑)⫃⨇(≀↧⇸(⫏≰11000221↛⩡⫤)))=⫏≰111021220202121","reverse_text":"⫏≰111021220202121=(((⫏≰2102220⋻⩜⩜⫏≰10221000)⪃↞⩐)↸(⫏≰20101012↳≱⫏≰20012101)⫁(⫏≰2001220≦↸⫏≰22110022))∠⫱((⫏≰2020210⩧⪆⫏≰2211121)⪍↜⋙(⫏≰20010022∀⋜↑)⫃⨇(≀↧⇸(⫏≰11000221↛⩡⫤)))","cot":[{"info":"⫏≰2102220⋻⩜⩜⫏≰10221000=⫏≰11212210","layer":3},{"info":"⫏≰11212210⪃↞⩐=⫏≰1002201000","layer":2},{"info":"⫏≰20101012↳≱⫏≰20012101=⫏≰0","layer":3},{"info":"⫏≰2001220≦↸⫏≰22110022=⫏≰-202010011","layer":3},{"info":"⫏≰0⫁⫏≰-202010011=⫏≰12221","layer":2},{"info":"⫏≰1002201000↸⫏≰12221=⫏≰1002201000","layer":1},{"info":"⫏≰2020210⩧⪆⫏≰2211121=⫏≰-2211121","layer":3},{"info":"⫏≰20010022∀⋜↑=⫏≰-122221","layer":3},{"info":"⫏≰-2211121⪍↜⋙⫏≰-122221=⫏≰112102211","layer":2},{"info":"⫏≰11000221↛⩡⫤=⫏≰-211100210222","layer":3},{"info":"≀↧⇸⫏≰-211100210222=⫏≰10022110020212","layer":2},{"info":"⫏≰112102211⫃⨇⫏≰10022110020212=⫏≰-111020211001121","layer":1},{"info":"⫏≰1002201000∠⫱⫏≰-111020211001121=⫏≰111021220202121","layer":0}]}
{"id":415,"expression_no_base_symbol":"(($6239$⋓$3419$)⇣⩺⋵($2491$⨰$1563$)⪨⊡($1053$⫃⨇$7060$)≄⊠$5492$≠≀$4444$)⩇∃⫛(⨂⪏⇭($2457$⪝$3499$⩢≌))","expression":"((⫏≰22120002⋓⫏≰11200122)⇣⩺⋵(⫏≰10102021⨰⫏≰2010220)⪨⊡(⫏≰1110000⫃⨇⫏≰100200111)≄⊠⫏≰21112102≠≀⫏≰20002121)⩇∃⫛(⨂⪏⇭(⫏≰10101000⪝⫏≰11210121⩢≌))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":850,"operation_count":11,"complexity_ratio":77.27272727272727,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6239,"base":3},"right_expr":{"type":"numeric_atoms","value":3419,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2491,"base":3},"right_expr":{"type":"numeric_atoms","value":1563,"base":3}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1053,"base":3},"right_expr":{"type":"numeric_atoms","value":7060,"base":3}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5492,"base":3},"right_expr":{"type":"numeric_atoms","value":4444,"base":3}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2457,"base":3},"right_expr":{"type":"numeric_atoms","value":3499,"base":3}}}}},"used_operators":["1aApVXNlOP","kuIXHzHcAH","F4yD0voBRQ","T2fj7uvVaJ","eewbuw0ToL","vXNesLlMH1","09Ly4LVMIf","IwW236VD4Y","AYdpE9sXAk","D617RFjZIq","wicAB68Tmb"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","hTbEZDJLEm","o20kRiQErp","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⫏≰-20012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6239","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=6239, right_input=3419, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2491","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=1563, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=938","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=938, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1814","layer":2},{"info":"number node, value=1053","layer":4},{"info":"number node, value=7060","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=7060, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-28272","layer":3},{"info":"number node, value=5492","layer":4},{"info":"number node, value=4444","layer":4},{"info":"compute binary expreesion, left_input=5492, right_input=4444, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-10678","layer":3},{"info":"compute binary expreesion, left_input=-28272, right_input=-10678, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-1814, right_input=1500, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2457","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=3499, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-640","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-640, 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=-167","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22120002⋓⫏≰11200122)⇣⩺⋵(⫏≰10102021⨰⫏≰2010220)⪨⊡(⫏≰1110000⫃⨇⫏≰100200111)≄⊠⫏≰21112102≠≀⫏≰20002121)⩇∃⫛(⨂⪏⇭(⫏≰10101000⪝⫏≰11210121⩢≌))=⫏≰-20012","reverse_text":"⫏≰-20012=((⫏≰22120002⋓⫏≰11200122)⇣⩺⋵(⫏≰10102021⨰⫏≰2010220)⪨⊡(⫏≰1110000⫃⨇⫏≰100200111)≄⊠⫏≰21112102≠≀⫏≰20002121)⩇∃⫛(⨂⪏⇭(⫏≰10101000⪝⫏≰11210121⩢≌))","cot":[{"info":"⫏≰22120002⋓⫏≰11200122=⫏≰0","layer":3},{"info":"⫏≰10102021⨰⫏≰2010220=⫏≰1021202","layer":3},{"info":"⫏≰0⇣⩺⋵⫏≰1021202=⫏≰-2111012","layer":2},{"info":"⫏≰1110000⫃⨇⫏≰100200111=⫏≰-1102210010","layer":3},{"info":"⫏≰21112102≠≀⫏≰20002121=⫏≰-112122111","layer":3},{"info":"⫏≰-1102210010≄⊠⫏≰-112122111=⫏≰2001120","layer":2},{"info":"⫏≰-2111012⪨⊡⫏≰2001120=⫏≰0","layer":1},{"info":"⫏≰10101000⪝⫏≰11210121=⫏≰22210","layer":3},{"info":"⫏≰22210⩢≌=⫏≰11012","layer":2},{"info":"⨂⪏⇭⫏≰11012=⫏≰-212201","layer":1},{"info":"⫏≰0⩇∃⫛⫏≰-212201=⫏≰-20012","layer":0}]}
{"id":416,"expression_no_base_symbol":"⊄⩳↩((($2051$⫡⨏$8838$)⩱)⨝⩣∺)","expression":"⊄⩳↩(((⫏≰2210222⫡⨏⫏≰110010100)⩱)⨝⩣∺)","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":35,"operation_count":4,"complexity_ratio":8.75,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2051,"base":3},"right_expr":{"type":"numeric_atoms","value":8838,"base":3}}}}},"used_operators":["8w2t5hMYqp","ancx8kZcWl","uyq1hVkAcj","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰222022000110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2051","layer":4},{"info":"number node, value=8838","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=8838, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28714","layer":3},{"info":"compute unary expreesion, input=28714, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-172534","layer":2},{"info":"compute unary expreesion, input=-172534, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-172534","layer":1},{"info":"compute unary expreesion, input=-172534, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=517602","layer":0}],"base":3,"result_base":3,"text":"⊄⩳↩(((⫏≰2210222⫡⨏⫏≰110010100)⩱)⨝⩣∺)=⫏≰222022000110","reverse_text":"⫏≰222022000110=⊄⩳↩(((⫏≰2210222⫡⨏⫏≰110010100)⩱)⨝⩣∺)","cot":[{"info":"⫏≰2210222⫡⨏⫏≰110010100=⫏≰1110101111","layer":3},{"info":"⫏≰1110101111⩱=⫏≰-22202200011","layer":2},{"info":"⫏≰-22202200011⨝⩣∺=⫏≰-22202200011","layer":1},{"info":"⊄⩳↩⫏≰-22202200011=⫏≰222022000110","layer":0}]}
{"id":417,"expression_no_base_symbol":"($1166$≳⇉$1929$)∇⊂⋱($1816$∖$9313$)⪢($3938$⇡⇂$1440$⇽⩪)⨒($3909$↞⋁$1256$)⊕∕($3507$≒∊$5111$)⪍↜⋙(↥$2228$≥⨤⩑$3100$)","expression":"(⫏≰1121012≳⇉⫏≰2122110)∇⊂⋱(⫏≰2111021∖⫏≰110202221)⪢(⫏≰12101212⇡⇂⫏≰1222100⇽⩪)⨒(⫏≰12100210↞⋁⫏≰1201112)⊕∕(⫏≰11210220≒∊⫏≰21000022)⪍↜⋙(↥⫏≰10001112≥⨤⩑⫏≰11020211)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":37446040,"operation_count":13,"complexity_ratio":2880464.6153846155,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1166,"base":3},"right_expr":{"type":"numeric_atoms","value":1929,"base":3}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1816,"base":3},"right_expr":{"type":"numeric_atoms","value":9313,"base":3}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3938,"base":3},"right_expr":{"type":"numeric_atoms","value":1440,"base":3}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3909,"base":3},"right_expr":{"type":"numeric_atoms","value":1256,"base":3}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3507,"base":3},"right_expr":{"type":"numeric_atoms","value":5111,"base":3}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2228,"base":3},"right_expr":{"type":"numeric_atoms","value":3100,"base":3}}}}},"used_operators":["y75s1iXyHd","dWAJyo7jo9","nhYeJWJD5X","V0kx6qeWkN","tXD093vOjl","FonBHBYJbU","UMwdvZNt44","L05ObWFQCd","9cloC0Ngie","RqrPlJkxDo","5KTvxBwnZo","A8NUZmVepG","gJLn6v0xnP"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","k8jYdgA6NY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1929, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1816","layer":4},{"info":"number node, value=9313","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=9313, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=3938","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=3938, right_input=1440, 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":3},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3909","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=3909, right_input=1256, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3507","layer":4},{"info":"number node, value=5111","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=5111, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3023","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3023, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"number node, value=2228","layer":4},{"info":"number node, value=3100","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=3100, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1121012≳⇉⫏≰2122110)∇⊂⋱(⫏≰2111021∖⫏≰110202221)⪢(⫏≰12101212⇡⇂⫏≰1222100⇽⩪)⨒(⫏≰12100210↞⋁⫏≰1201112)⊕∕(⫏≰11210220≒∊⫏≰21000022)⪍↜⋙(↥⫏≰10001112≥⨤⩑⫏≰11020211)=NaN","reverse_text":"NaN=(⫏≰1121012≳⇉⫏≰2122110)∇⊂⋱(⫏≰2111021∖⫏≰110202221)⪢(⫏≰12101212⇡⇂⫏≰1222100⇽⩪)⨒(⫏≰12100210↞⋁⫏≰1201112)⊕∕(⫏≰11210220≒∊⫏≰21000022)⪍↜⋙(↥⫏≰10001112≥⨤⩑⫏≰11020211)","cot":[{"info":"⫏≰1121012≳⇉⫏≰2122110=NaN","layer":3},{"info":"⫏≰2111021∖⫏≰110202221=⫏≰0","layer":3},{"info":"NaN∇⊂⋱⫏≰0=NaN","layer":2},{"info":"⫏≰12101212⇡⇂⫏≰1222100=NaN","layer":3},{"info":"NaN⇽⩪=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⫏≰12100210↞⋁⫏≰1201112=NaN","layer":3},{"info":"⫏≰11210220≒∊⫏≰21000022=⫏≰-11010222","layer":3},{"info":"NaN⊕∕⫏≰-11010222=NaN","layer":2},{"info":"⫏≰10001112≥⨤⩑⫏≰11020211=⫏≰1200201","layer":3},{"info":"↥⫏≰1200201=⫏≰101","layer":2},{"info":"NaN⪍↜⋙⫏≰101=NaN","layer":1},{"info":"NaN⨒NaN=NaN","layer":0}]}
{"id":418,"expression_no_base_symbol":"(((⨮↦↱$4593$)≦≮≮)↺$1917$⪚$8548$⊝⪿⪼$6391$⪪$2950$)⪇≇⋚(($5156$⇄$2344$)⊬⨰($1596$⪕$1822$))∓⋝((-$5237$)⋖∅⋲)","expression":"(((⨮↦↱⫏≰20022010)≦≮≮)↺⫏≰2122000⪚⫏≰102201121⊝⪿⪼⫏≰22202201⪪⫏≰11001021)⪇≇⋚((⫏≰21001222⇄⫏≰10012211)⊬⨰(⫏≰2012010⪕⫏≰2111111))∓⋝((-⫏≰21011222)⋖∅⋲)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23600,"operation_count":13,"complexity_ratio":1815.3846153846155,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4593,"base":3}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1917,"base":3},"right_expr":{"type":"numeric_atoms","value":8548,"base":3}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6391,"base":3},"right_expr":{"type":"numeric_atoms","value":2950,"base":3}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5156,"base":3},"right_expr":{"type":"numeric_atoms","value":2344,"base":3}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1596,"base":3},"right_expr":{"type":"numeric_atoms","value":1822,"base":3}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5237,"base":3}}}}},"used_operators":["3sJ7IOPOlU","7j4O788W3g","D4vGDi5EA2","sYcpBQ0cFf","3Oe9XWJUTD","HrjLwUk87U","xD69zh8xqp","PoHhknlbAi","s3Fd5m9Dh2","3EYGwJThht","umQnsF7QlU","L95AwlJzhO","t8gj7n24qd"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","FU0Cs4j7VP","JclMnS0uGI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4593","layer":4},{"info":"compute unary expreesion, input=4593, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-50459211","layer":3},{"info":"compute unary expreesion, input=-50459211, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=151377633","layer":2},{"info":"number node, value=1917","layer":4},{"info":"number node, value=8548","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=8548, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-13618","layer":3},{"info":"number node, value=6391","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=6391, right_input=2950, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-961130","layer":3},{"info":"compute binary expreesion, left_input=-13618, right_input=-961130, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=1755070","layer":2},{"info":"compute binary expreesion, left_input=151377633, right_input=1755070, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1755070","layer":1},{"info":"number node, value=5156","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=5156, right_input=2344, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1596","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=1822, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2271","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2271, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9084","layer":2},{"info":"number node, value=5237","layer":4},{"info":"compute unary expreesion, input=5237, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5237","layer":3},{"info":"compute unary expreesion, input=-5237, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9084, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3538","layer":1},{"info":"compute binary expreesion, left_input=1755070, right_input=-3538, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(((⨮↦↱⫏≰20022010)≦≮≮)↺⫏≰2122000⪚⫏≰102201121⊝⪿⪼⫏≰22202201⪪⫏≰11001021)⪇≇⋚((⫏≰21001222⇄⫏≰10012211)⊬⨰(⫏≰2012010⪕⫏≰2111111))∓⋝((-⫏≰21011222)⋖∅⋲)=⫏≰0","reverse_text":"⫏≰0=(((⨮↦↱⫏≰20022010)≦≮≮)↺⫏≰2122000⪚⫏≰102201121⊝⪿⪼⫏≰22202201⪪⫏≰11001021)⪇≇⋚((⫏≰21001222⇄⫏≰10012211)⊬⨰(⫏≰2012010⪕⫏≰2111111))∓⋝((-⫏≰21011222)⋖∅⋲)","cot":[{"info":"⨮↦↱⫏≰20022010=⫏≰-10111221121000200","layer":3},{"info":"⫏≰-10111221121000200≦≮≮=⫏≰101112211210002000","layer":2},{"info":"⫏≰2122000⪚⫏≰102201121=⫏≰-200200101","layer":3},{"info":"⫏≰22202201⪪⫏≰11001021=⫏≰-1210211102102","layer":3},{"info":"⫏≰-200200101⊝⪿⪼⫏≰-1210211102102=⫏≰10022011111121","layer":2},{"info":"⫏≰101112211210002000↺⫏≰10022011111121=⫏≰10022011111121","layer":1},{"info":"⫏≰21001222⇄⫏≰10012211=⫏≰0","layer":3},{"info":"⫏≰2012010⪕⫏≰2111111=⫏≰10010010","layer":3},{"info":"⫏≰0⊬⨰⫏≰10010010=⫏≰110110110","layer":2},{"info":"-⫏≰21011222=⫏≰-21011222","layer":3},{"info":"⫏≰-21011222⋖∅⋲=⫏≰0","layer":2},{"info":"⫏≰110110110∓⋝⫏≰0=⫏≰-11212001","layer":1},{"info":"⫏≰10022011111121⪇≇⋚⫏≰-11212001=⫏≰0","layer":0}]}
{"id":419,"expression_no_base_symbol":"($2855$⨪↰⇹$1266$)⨟⋌⩍$4969$⫘$2860$⋳⪒($5203$⪨≂$3263$⫚↹⊑$3822$+⇶⊼$2235$)⪄(($5082$≓∲$4779$)⨱∎)⩇∃⫛(⊁⨺$3995$⊱⇼⊻$1997$)","expression":"(⫏≰10220202⨪↰⇹⫏≰1201220)⨟⋌⩍⫏≰20211001⫘⫏≰10220221⋳⪒(⫏≰21010201⪨≂⫏≰11110212⫚↹⊑⫏≰12020120+⇶⊼⫏≰10001210)⪄((⫏≰20222020≓∲⫏≰20120000)⨱∎)⩇∃⫛(⊁⨺⫏≰12110222⊱⇼⊻⫏≰2201222)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8176,"operation_count":13,"complexity_ratio":628.9230769230769,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2855,"base":3},"right_expr":{"type":"numeric_atoms","value":1266,"base":3}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4969,"base":3},"right_expr":{"type":"numeric_atoms","value":2860,"base":3}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5203,"base":3},"right_expr":{"type":"numeric_atoms","value":3263,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3822,"base":3},"right_expr":{"type":"numeric_atoms","value":2235,"base":3}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5082,"base":3},"right_expr":{"type":"numeric_atoms","value":4779,"base":3}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3995,"base":3},"right_expr":{"type":"numeric_atoms","value":1997,"base":3}}}}},"used_operators":["SUmda5xLS4","12rbrZMWeM","rGHVDoGpnC","tmPS8pqC7x","48vC8HMD2b","dfKe02y8D2","sdazOOVcIp","TpPTUOHfaN","1aApVXNlOP","MmTdOpaElr","s1XTVnmDOJ","PxiHyQbrIp","FyVja0WsTP"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rJVOvQCfKK","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","tifHPKVTfV","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⫏≰12110101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2855","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=1266, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2855","layer":3},{"info":"number node, value=4969","layer":4},{"info":"number node, value=2860","layer":4},{"info":"compute binary expreesion, left_input=4969, right_input=2860, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5847949","layer":3},{"info":"compute binary expreesion, left_input=2855, right_input=5847949, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5203","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=3263, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3982","layer":3},{"info":"number node, value=3822","layer":4},{"info":"number node, value=2235","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=2235, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3982, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=5082","layer":4},{"info":"number node, value=4779","layer":4},{"info":"compute binary expreesion, left_input=5082, right_input=4779, 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=51603","layer":3},{"info":"compute unary expreesion, input=51603, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"number node, value=3995","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=3995, right_input=1997, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, 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":2},{"info":"compute binary expreesion, left_input=0, right_input=160, 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=633","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=633, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10220202⨪↰⇹⫏≰1201220)⨟⋌⩍⫏≰20211001⫘⫏≰10220221⋳⪒(⫏≰21010201⪨≂⫏≰11110212⫚↹⊑⫏≰12020120+⇶⊼⫏≰10001210)⪄((⫏≰20222020≓∲⫏≰20120000)⨱∎)⩇∃⫛(⊁⨺⫏≰12110222⊱⇼⊻⫏≰2201222)=⫏≰12110101","reverse_text":"⫏≰12110101=(⫏≰10220202⨪↰⇹⫏≰1201220)⨟⋌⩍⫏≰20211001⫘⫏≰10220221⋳⪒(⫏≰21010201⪨≂⫏≰11110212⫚↹⊑⫏≰12020120+⇶⊼⫏≰10001210)⪄((⫏≰20222020≓∲⫏≰20120000)⨱∎)⩇∃⫛(⊁⨺⫏≰12110222⊱⇼⊻⫏≰2201222)","cot":[{"info":"⫏≰10220202⨪↰⇹⫏≰1201220=⫏≰10220202","layer":3},{"info":"⫏≰20211001⫘⫏≰10220221=⫏≰102000002212201","layer":3},{"info":"⫏≰10220202⨟⋌⩍⫏≰102000002212201=NaN","layer":2},{"info":"⫏≰21010201⪨≂⫏≰11110212=⫏≰12110111","layer":3},{"info":"⫏≰12020120+⇶⊼⫏≰10001210=NaN","layer":3},{"info":"⫏≰12110111⫚↹⊑NaN=⫏≰-121120","layer":2},{"info":"NaN⋳⪒⫏≰-121120=NaN","layer":1},{"info":"⫏≰20222020≓∲⫏≰20120000=⫏≰2121210020","layer":3},{"info":"⫏≰2121210020⨱∎=⫏≰0","layer":2},{"info":"⫏≰12110222⊱⇼⊻⫏≰2201222=⫏≰121002","layer":3},{"info":"⊁⨺⫏≰121002=⫏≰12221","layer":2},{"info":"⫏≰0⩇∃⫛⫏≰12221=⫏≰212110","layer":1},{"info":"NaN⪄⫏≰212110=⫏≰12110101","layer":0}]}
{"id":420,"expression_no_base_symbol":"((⪭⩑⪱$6497$⨜⨶$4866$)⫯⪬∳($1700$⨓$5226$⇄$4793$⇣⩺⋵$2527$))⋩≍≻","expression":"((⪭⩑⪱⫏≰22220122⨜⨶⫏≰20200020)⫯⪬∳(⫏≰2022222⨓⫏≰21011120⇄⫏≰20120112⇣⩺⋵⫏≰10110121))⋩≍≻","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41791,"operation_count":7,"complexity_ratio":5970.142857142857,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6497,"base":3},"right_expr":{"type":"numeric_atoms","value":4866,"base":3}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1700,"base":3},"right_expr":{"type":"numeric_atoms","value":5226,"base":3}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4793,"base":3},"right_expr":{"type":"numeric_atoms","value":2527,"base":3}}}}},"used_operators":["WYd1w68Nbz","d7ASUq0ydm","SIgE0bArFf","HiPekx5b7W","3EYGwJThht","3ViojmjbAp","F4yD0voBRQ"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⫏≰-2001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6497","layer":4},{"info":"number node, value=4866","layer":4},{"info":"compute binary expreesion, left_input=6497, right_input=4866, 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=-9476","layer":3},{"info":"compute unary expreesion, input=-9476, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=1700","layer":4},{"info":"number node, value=5226","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=5226, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5229","layer":3},{"info":"number node, value=4793","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=4793, right_input=2527, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-5229, right_input=-260, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=744","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=744, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=41603049","layer":1},{"info":"compute unary expreesion, input=41603049, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":0}],"base":3,"result_base":3,"text":"((⪭⩑⪱⫏≰22220122⨜⨶⫏≰20200020)⫯⪬∳(⫏≰2022222⨓⫏≰21011120⇄⫏≰20120112⇣⩺⋵⫏≰10110121))⋩≍≻=⫏≰-2001","reverse_text":"⫏≰-2001=((⪭⩑⪱⫏≰22220122⨜⨶⫏≰20200020)⫯⪬∳(⫏≰2022222⨓⫏≰21011120⇄⫏≰20120112⇣⩺⋵⫏≰10110121))⋩≍≻","cot":[{"info":"⫏≰22220122⨜⨶⫏≰20200020=⫏≰-110222222","layer":3},{"info":"⪭⩑⪱⫏≰-110222222=⫏≰120122201221000","layer":2},{"info":"⫏≰2022222⨓⫏≰21011120=⫏≰-21011200","layer":3},{"info":"⫏≰20120112⇣⩺⋵⫏≰10110121=⫏≰-100122","layer":3},{"info":"⫏≰-21011200⇄⫏≰-100122=⫏≰1000120","layer":2},{"info":"⫏≰120122201221000⫯⪬∳⫏≰1000120=⫏≰2220021122122200","layer":1},{"info":"⫏≰2220021122122200⋩≍≻=⫏≰-2001","layer":0}]}
{"id":421,"expression_no_base_symbol":"((($2459$⨵⪆$2254$)↓⨍⋜)⋆⋳)⊴⇁⪶","expression":"(((⫏≰10101002⨵⪆⫏≰10002111)↓⨍⋜)⋆⋳)⊴⇁⪶","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":55563,"operation_count":4,"complexity_ratio":13890.75,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2459,"base":3},"right_expr":{"type":"numeric_atoms","value":2254,"base":3}}}}},"used_operators":["oo9mF6JIpo","6MpZysEj17","3DVzLFNsE9","2DQ55sFlQl"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-120210120102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2459","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=2254, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6877","layer":2},{"info":"compute unary expreesion, input=6877, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-13786","layer":1},{"info":"compute unary expreesion, input=-13786, 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=-310970","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10101002⨵⪆⫏≰10002111)↓⨍⋜)⋆⋳)⊴⇁⪶=⫏≰-120210120102","reverse_text":"⫏≰-120210120102=(((⫏≰10101002⨵⪆⫏≰10002111)↓⨍⋜)⋆⋳)⊴⇁⪶","cot":[{"info":"⫏≰10101002⨵⪆⫏≰10002111=⫏≰12221","layer":3},{"info":"⫏≰12221↓⨍⋜=⫏≰100102201","layer":2},{"info":"⫏≰100102201⋆⋳=⫏≰-200220121","layer":1},{"info":"⫏≰-200220121⊴⇁⪶=⫏≰-120210120102","layer":0}]}
{"id":422,"expression_no_base_symbol":"((⊁⨺($1382$⩠))⋳⪒$3229$∥⊢⊲$2267$∀⇚≩($4152$⨑≵⋬$1945$))⫗⊷⫓((($2142$∕⩚$1562$)⊉≛↸$5540$∊∟⩊$1610$)⇌⫙⪟(∷≠(⇠$1704$)))","expression":"((⊁⨺(⫏≰1220012⩠))⋳⪒⫏≰11102121∥⊢⊲⫏≰10002222∀⇚≩(⫏≰12200210⨑≵⋬⫏≰2200001))⫗⊷⫓(((⫏≰2221100∕⩚⫏≰2010212)⊉≛↸⫏≰21121012∊∟⩊⫏≰2012122)⇌⫙⪟(∷≠(⇠⫏≰2100010)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":89809,"operation_count":13,"complexity_ratio":6908.384615384615,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1382,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3229,"base":3},"right_expr":{"type":"numeric_atoms","value":2267,"base":3}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4152,"base":3},"right_expr":{"type":"numeric_atoms","value":1945,"base":3}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2142,"base":3},"right_expr":{"type":"numeric_atoms","value":1562,"base":3}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":5540,"base":3},"right_expr":{"type":"numeric_atoms","value":1610,"base":3}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1704,"base":3}}}}},"used_operators":["zashukvMKz","12rbrZMWeM","PxiHyQbrIp","sJAwomhLZr","LRNGc0VcxI","v1UQAVDJRr","XnXgA4xnOs","AFVx7xoS7T","DZ8iAZOCBD","z9ffQ9n5Zr","ddLRYrp01A","QiR2Oyf5Xj","18saOjeKKm"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","X99M06cbEe","EBcxylXtPf","rGHVDoGpnC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=1845","layer":2},{"info":"number node, value=3229","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=2267, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4152","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=4152, right_input=1945, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=8524","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8524, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1845, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=2142","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=2142, right_input=1562, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2145","layer":3},{"info":"number node, value=5540","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=5540, right_input=1610, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1610","layer":3},{"info":"compute binary expreesion, left_input=-2145, right_input=1610, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1610","layer":2},{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1462","layer":3},{"info":"compute unary expreesion, input=-1462, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-1462","layer":2},{"info":"compute binary expreesion, left_input=-1610, right_input=-1462, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=10566","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10566, 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":3,"result_base":3,"text":"((⊁⨺(⫏≰1220012⩠))⋳⪒⫏≰11102121∥⊢⊲⫏≰10002222∀⇚≩(⫏≰12200210⨑≵⋬⫏≰2200001))⫗⊷⫓(((⫏≰2221100∕⩚⫏≰2010212)⊉≛↸⫏≰21121012∊∟⩊⫏≰2012122)⇌⫙⪟(∷≠(⇠⫏≰2100010)))=⫏≰-11222","reverse_text":"⫏≰-11222=((⊁⨺(⫏≰1220012⩠))⋳⪒⫏≰11102121∥⊢⊲⫏≰10002222∀⇚≩(⫏≰12200210⨑≵⋬⫏≰2200001))⫗⊷⫓(((⫏≰2221100∕⩚⫏≰2010212)⊉≛↸⫏≰21121012∊∟⩊⫏≰2012122)⇌⫙⪟(∷≠(⇠⫏≰2100010)))","cot":[{"info":"⫏≰1220012⩠=⫏≰0","layer":3},{"info":"⊁⨺⫏≰0=⫏≰2112100","layer":2},{"info":"⫏≰11102121∥⊢⊲⫏≰10002222=NaN","layer":3},{"info":"⫏≰12200210⨑≵⋬⫏≰2200001=⫏≰102200201","layer":3},{"info":"NaN∀⇚≩⫏≰102200201=NaN","layer":2},{"info":"⫏≰2112100⋳⪒NaN=NaN","layer":1},{"info":"⫏≰2221100∕⩚⫏≰2010212=⫏≰-2221110","layer":3},{"info":"⫏≰21121012∊∟⩊⫏≰2012122=⫏≰2012122","layer":3},{"info":"⫏≰-2221110⊉≛↸⫏≰2012122=⫏≰-2012122","layer":2},{"info":"⇠⫏≰2100010=⫏≰-2000011","layer":3},{"info":"∷≠⫏≰-2000011=⫏≰-2000011","layer":2},{"info":"⫏≰-2012122⇌⫙⪟⫏≰-2000011=⫏≰112111100","layer":1},{"info":"NaN⫗⊷⫓⫏≰112111100=⫏≰-11222","layer":0}]}
{"id":423,"expression_no_base_symbol":"⪲⇎(≔($1999$⪄$3067$∲⫓$3862$⪟⇏$4314$))","expression":"⪲⇎(≔(⫏≰2202001⪄⫏≰11012121∲⫓⫏≰12022001⪟⇏⫏≰12220210))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":162,"operation_count":5,"complexity_ratio":32.4,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1999,"base":3},"right_expr":{"type":"numeric_atoms","value":3067,"base":3}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3862,"base":3},"right_expr":{"type":"numeric_atoms","value":4314,"base":3}}}}},"used_operators":["XPYlsWDdGa","8FLs4eVsLt","i8ToyICDmI","SUmda5xLS4","GODebY97qR"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⫏≰1012001122010212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1999","layer":4},{"info":"number node, value=3067","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=3067, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-304209","layer":3},{"info":"number node, value=3862","layer":4},{"info":"number node, value=4314","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=4314, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-304209, right_input=-1, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-304209","layer":2},{"info":"compute unary expreesion, input=-304209, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=8519146","layer":1},{"info":"compute unary expreesion, input=8519146, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=17038292","layer":0}],"base":3,"result_base":3,"text":"⪲⇎(≔(⫏≰2202001⪄⫏≰11012121∲⫓⫏≰12022001⪟⇏⫏≰12220210))=⫏≰1012001122010212","reverse_text":"⫏≰1012001122010212=⪲⇎(≔(⫏≰2202001⪄⫏≰11012121∲⫓⫏≰12022001⪟⇏⫏≰12220210))","cot":[{"info":"⫏≰2202001⪄⫏≰11012121=⫏≰-120110022000","layer":3},{"info":"⫏≰12022001⪟⇏⫏≰12220210=⫏≰-1","layer":3},{"info":"⫏≰-120110022000∲⫓⫏≰-1=⫏≰-120110022000","layer":2},{"info":"≔⫏≰-120110022000=⫏≰121000211001221","layer":1},{"info":"⪲⇎⫏≰121000211001221=⫏≰1012001122010212","layer":0}]}
{"id":424,"expression_no_base_symbol":"(($3756$⫢⨠$1485$)⩷∴$6325$≴⪞⇿$1379$∙⊟(⪭⩑⪱$2521$)⇌⫙⪟($4174$⪭≯$8611$))≃(($4346$⪘⨀)⨲)⫲≸⪮($2239$⨔≚≋$4630$⋭≵($1313$≬⋮$1926$))","expression":"((⫏≰12011010⫢⨠⫏≰2001000)⩷∴⫏≰22200021≴⪞⇿⫏≰1220002∙⊟(⪭⩑⪱⫏≰10110101)⇌⫙⪟(⫏≰12201121⪭≯⫏≰102210221))≃((⫏≰12221222⪘⨀)⨲)⫲≸⪮(⫏≰10001221⨔≚≋⫏≰20100111⋭≵(⫏≰1210122≬⋮⫏≰2122100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48726,"operation_count":14,"complexity_ratio":3480.4285714285716,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3756,"base":3},"right_expr":{"type":"numeric_atoms","value":1485,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6325,"base":3},"right_expr":{"type":"numeric_atoms","value":1379,"base":3}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2521,"base":3}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4174,"base":3},"right_expr":{"type":"numeric_atoms","value":8611,"base":3}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":4346,"base":3}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2239,"base":3},"right_expr":{"type":"numeric_atoms","value":4630,"base":3}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1313,"base":3},"right_expr":{"type":"numeric_atoms","value":1926,"base":3}}}}},"used_operators":["YbVcJGFEVW","SxTAKzQCrw","9FxExcQeMw","xlXykHWxX1","lvlrscuwVU","AFVx7xoS7T","SIgE0bArFf","XAx5wpdLa6","P3lXMJvFrc","nLYMGWM7L8","aA7tF3KVD3","jBncVCNhdl","Z57zeUYC9z","kbkesczE7y"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⫏≰2120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3756","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=3756, right_input=1485, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=6325","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=6325, right_input=1379, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=73253642","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=73253642, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-146506996","layer":2},{"info":"number node, value=2521","layer":4},{"info":"compute unary expreesion, input=2521, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=4174","layer":4},{"info":"number node, value=8611","layer":4},{"info":"compute binary expreesion, left_input=4174, right_input=8611, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-146506996, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=1904606692","layer":1},{"info":"number node, value=4346","layer":4},{"info":"compute unary expreesion, input=4346, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-9273","layer":3},{"info":"compute unary expreesion, input=-9273, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"number node, value=2239","layer":4},{"info":"number node, value=4630","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=4630, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1313","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=1926, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=868, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=4683709, right_input=67, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1904606692, right_input=nan, 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=69","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12011010⫢⨠⫏≰2001000)⩷∴⫏≰22200021≴⪞⇿⫏≰1220002∙⊟(⪭⩑⪱⫏≰10110101)⇌⫙⪟(⫏≰12201121⪭≯⫏≰102210221))≃((⫏≰12221222⪘⨀)⨲)⫲≸⪮(⫏≰10001221⨔≚≋⫏≰20100111⋭≵(⫏≰1210122≬⋮⫏≰2122100))=⫏≰2120","reverse_text":"⫏≰2120=((⫏≰12011010⫢⨠⫏≰2001000)⩷∴⫏≰22200021≴⪞⇿⫏≰1220002∙⊟(⪭⩑⪱⫏≰10110101)⇌⫙⪟(⫏≰12201121⪭≯⫏≰102210221))≃((⫏≰12221222⪘⨀)⨲)⫲≸⪮(⫏≰10001221⨔≚≋⫏≰20100111⋭≵(⫏≰1210122≬⋮⫏≰2122100))","cot":[{"info":"⫏≰12011010⫢⨠⫏≰2001000=⫏≰12221","layer":3},{"info":"⫏≰22200021≴⪞⇿⫏≰1220002=⫏≰12002211200002212","layer":3},{"info":"⫏≰12221⩷∴⫏≰12002211200002212=⫏≰-101012200022211001","layer":2},{"info":"⪭⩑⪱⫏≰10110101=⫏≰120122201221000","layer":3},{"info":"⫏≰12201121⪭≯⫏≰102210221=NaN","layer":3},{"info":"⫏≰120122201221000⇌⫙⪟NaN=NaN","layer":2},{"info":"⫏≰-101012200022211001∙⊟NaN=⫏≰11220201212001012121","layer":1},{"info":"⫏≰12221222⪘⨀=⫏≰-110201110","layer":3},{"info":"⫏≰-110201110⨲=⫏≰22210221211201","layer":2},{"info":"⫏≰10001221⨔≚≋⫏≰20100111=⫏≰111112122","layer":3},{"info":"⫏≰1210122≬⋮⫏≰2122100=⫏≰1012011","layer":3},{"info":"⫏≰111112122⋭≵⫏≰1012011=⫏≰2111","layer":2},{"info":"⫏≰22210221211201⫲≸⪮⫏≰2111=NaN","layer":1},{"info":"⫏≰11220201212001012121≃NaN=⫏≰2120","layer":0}]}
{"id":425,"expression_no_base_symbol":"(($4516$⪶≀⋏$3332$)∀⇚≩(⊁⨺$1448$))≨((⨂⪏⇭$2429$)⫥∨⫟$1258$⩘$3923$)⩹(∨∊⋏(($1014$⩌⋺$6134$)⇻⋧≁($3634$⩵∡$2973$)))","expression":"((⫏≰20012021⪶≀⋏⫏≰11120102)∀⇚≩(⊁⨺⫏≰1222122))≨((⨂⪏⇭⫏≰10022222)⫥∨⫟⫏≰1201121⩘⫏≰12101022)⩹(∨∊⋏((⫏≰1101120⩌⋺⫏≰22102012)⇻⋧≁(⫏≰11222121⩵∡⫏≰11002010)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":143728,"operation_count":12,"complexity_ratio":11977.333333333334,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4516,"base":3},"right_expr":{"type":"numeric_atoms","value":3332,"base":3}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1448,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2429,"base":3}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1258,"base":3},"right_expr":{"type":"numeric_atoms","value":3923,"base":3}}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1014,"base":3},"right_expr":{"type":"numeric_atoms","value":6134,"base":3}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3634,"base":3},"right_expr":{"type":"numeric_atoms","value":2973,"base":3}}}}},"used_operators":["2Wsdkap16l","0KMCeP1Jsh","LRNGc0VcxI","zR4jO40bMj","PxiHyQbrIp","KYD54nUTWz","AYdpE9sXAk","cHh1gJQ2o6","R5aXW34M0v","jCPkEVoL5K","g7Hmc5v1ko","Y7wcNGrDQJ"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⫏≰-110021020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4516","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=4516, right_input=3332, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-20444","layer":3},{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, 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":3},{"info":"compute binary expreesion, left_input=-20444, right_input=160, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2429","layer":4},{"info":"compute unary expreesion, input=2429, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=6308","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=3923","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=3923, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=6308, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"number node, value=1014","layer":4},{"info":"number node, value=6134","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=6134, 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":3},{"info":"number node, value=3634","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=3634, right_input=2973, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4416","layer":3},{"info":"compute binary expreesion, left_input=-7269, right_input=-4416, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-8941","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8941, 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=-8943","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20012021⪶≀⋏⫏≰11120102)∀⇚≩(⊁⨺⫏≰1222122))≨((⨂⪏⇭⫏≰10022222)⫥∨⫟⫏≰1201121⩘⫏≰12101022)⩹(∨∊⋏((⫏≰1101120⩌⋺⫏≰22102012)⇻⋧≁(⫏≰11222121⩵∡⫏≰11002010)))=⫏≰-110021020","reverse_text":"⫏≰-110021020=((⫏≰20012021⪶≀⋏⫏≰11120102)∀⇚≩(⊁⨺⫏≰1222122))≨((⨂⪏⇭⫏≰10022222)⫥∨⫟⫏≰1201121⩘⫏≰12101022)⩹(∨∊⋏((⫏≰1101120⩌⋺⫏≰22102012)⇻⋧≁(⫏≰11222121⩵∡⫏≰11002010)))","cot":[{"info":"⫏≰20012021⪶≀⋏⫏≰11120102=⫏≰-1001001012","layer":3},{"info":"⊁⨺⫏≰1222122=⫏≰12221","layer":3},{"info":"⫏≰-1001001012∀⇚≩⫏≰12221=NaN","layer":2},{"info":"⨂⪏⇭⫏≰10022222=⫏≰22122122","layer":3},{"info":"⫏≰1201121⩘⫏≰12101022=⫏≰12221","layer":3},{"info":"⫏≰22122122⫥∨⫟⫏≰12221=NaN","layer":2},{"info":"NaN≨NaN=NaN","layer":1},{"info":"⫏≰1101120⩌⋺⫏≰22102012=⫏≰-100222020","layer":3},{"info":"⫏≰11222121⩵∡⫏≰11002010=⫏≰-20001120","layer":3},{"info":"⫏≰-100222020⇻⋧≁⫏≰-20001120=⫏≰0","layer":2},{"info":"∨∊⋏⫏≰0=⫏≰-110021011","layer":1},{"info":"NaN⩹⫏≰-110021011=⫏≰-110021020","layer":0}]}
{"id":426,"expression_no_base_symbol":"⊀((∂$3363$)⋷$3026$⨰$2710$)⪃⊛⇣((⋃$5552$)⩁⩘$5989$≌$2149$)","expression":"⊀((∂⫏≰11121120)⋷⫏≰11011002⨰⫏≰10201101)⪃⊛⇣((⋃⫏≰21121122)⩁⩘⫏≰22012211≌⫏≰2221121)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2902,"operation_count":8,"complexity_ratio":362.75,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3363,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3026,"base":3},"right_expr":{"type":"numeric_atoms","value":2710,"base":3}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":5552,"base":3}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5989,"base":3},"right_expr":{"type":"numeric_atoms","value":2149,"base":3}}}}},"used_operators":["oPMjh9089D","rrgAzCduG9","23Mk6UjR3U","Uaa54Peajs","eewbuw0ToL","gub5Cegaqo","3mBM5G4a3l","lyWz822IDG"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","g55IO6H4Gj","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"⫏≰20102010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3363","layer":4},{"info":"compute unary expreesion, input=3363, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=3026","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=2710, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=326","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=326, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=5552","layer":4},{"info":"compute unary expreesion, input=5552, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=11206","layer":3},{"info":"number node, value=5989","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=5989, right_input=2149, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11206, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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 = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4674","layer":0}],"base":3,"result_base":3,"text":"⊀((∂⫏≰11121120)⋷⫏≰11011002⨰⫏≰10201101)⪃⊛⇣((⋃⫏≰21121122)⩁⩘⫏≰22012211≌⫏≰2221121)=⫏≰20102010","reverse_text":"⫏≰20102010=⊀((∂⫏≰11121120)⋷⫏≰11011002⨰⫏≰10201101)⪃⊛⇣((⋃⫏≰21121122)⩁⩘⫏≰22012211≌⫏≰2221121)","cot":[{"info":"∂⫏≰11121120=NaN","layer":3},{"info":"⫏≰11011002⨰⫏≰10201101=⫏≰110002","layer":3},{"info":"NaN⋷⫏≰110002=NaN","layer":2},{"info":"⋃⫏≰21121122=⫏≰120101001","layer":3},{"info":"⫏≰22012211≌⫏≰2221121=NaN","layer":3},{"info":"⫏≰120101001⩁⩘NaN=NaN","layer":2},{"info":"NaN⪃⊛⇣NaN=⫏≰1200201","layer":1},{"info":"⊀⫏≰1200201=⫏≰20102010","layer":0}]}
{"id":427,"expression_no_base_symbol":"(($3402$↼⊘⨖$1084$)⪮%⊝$2441$⫁⪎$2119$⫲)⇴(⪹$3765$≴⪞⇿$3580$↓($6670$⩇∃⫛$4021$))","expression":"((⫏≰11200000↼⊘⨖⫏≰1111011)⪮%⊝⫏≰10100102⫁⪎⫏≰2220111⫲)⇴(⪹⫏≰12011110≴⪞⇿⫏≰11220121↓(⫏≰100011001⩇∃⫛⫏≰12111221))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34340,"operation_count":9,"complexity_ratio":3815.5555555555557,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3402,"base":3},"right_expr":{"type":"numeric_atoms","value":1084,"base":3}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2441,"base":3},"right_expr":{"type":"numeric_atoms","value":2119,"base":3}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3765,"base":3},"right_expr":{"type":"numeric_atoms","value":3580,"base":3}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":6670,"base":3},"right_expr":{"type":"numeric_atoms","value":4021,"base":3}}}}},"used_operators":["4JB6nKBMSY","9xnGDUPbC6","IWmyXbctLI","bPywburJMS","xRrnTEsQ6j","USyYr0JgAa","Af076pWI7l","lvlrscuwVU","1aApVXNlOP"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","tifHPKVTfV","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⫏≰1012201102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3402","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=1084, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1946","layer":3},{"info":"number node, value=2441","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=2119, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=322","layer":3},{"info":"compute binary expreesion, left_input=1946, right_input=322, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4208","layer":2},{"info":"compute unary expreesion, input=4208, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=3935","layer":1},{"info":"number node, value=3765","layer":4},{"info":"number node, value=3580","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=3580, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=24388362","layer":3},{"info":"number node, value=6670","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=6670, right_input=4021, 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=-2176","layer":3},{"info":"compute binary expreesion, left_input=24388362, right_input=-2176, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=314","layer":1},{"info":"compute binary expreesion, left_input=3935, right_input=314, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=23852","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11200000↼⊘⨖⫏≰1111011)⪮%⊝⫏≰10100102⫁⪎⫏≰2220111⫲)⇴(⪹⫏≰12011110≴⪞⇿⫏≰11220121↓(⫏≰100011001⩇∃⫛⫏≰12111221))=⫏≰1012201102","reverse_text":"⫏≰1012201102=((⫏≰11200000↼⊘⨖⫏≰1111011)⪮%⊝⫏≰10100102⫁⪎⫏≰2220111⫲)⇴(⪹⫏≰12011110≴⪞⇿⫏≰11220121↓(⫏≰100011001⩇∃⫛⫏≰12111221))","cot":[{"info":"⫏≰11200000↼⊘⨖⫏≰1111011=⫏≰2200002","layer":3},{"info":"⫏≰10100102⫁⪎⫏≰2220111=⫏≰102221","layer":3},{"info":"⫏≰2200002⪮%⊝⫏≰102221=⫏≰12202212","layer":2},{"info":"⫏≰12202212⫲=⫏≰12101202","layer":1},{"info":"⫏≰12011110≴⪞⇿⫏≰11220121=⫏≰1200220001112200","layer":3},{"info":"⫏≰100011001⩇∃⫛⫏≰12111221=⫏≰-2222121","layer":3},{"info":"⫏≰1200220001112200↓⫏≰-2222121=⫏≰-11222","layer":2},{"info":"⪹⫏≰-11222=⫏≰102122","layer":1},{"info":"⫏≰12101202⇴⫏≰102122=⫏≰1012201102","layer":0}]}
{"id":428,"expression_no_base_symbol":"(($1015$⋾⨃∁$2151$∕⩚$2169$≎⪠$2720$)⪔⊥((∮$1362$)⪘⨀))⩣⫁∢(≋(($1025$⇉⇉)↬$1768$≹⇙⪍$3619$))","expression":"((⫏≰1101121⋾⨃∁⫏≰2221200∕⩚⫏≰2222100≎⪠⫏≰10201202)⪔⊥((∮⫏≰1212110)⪘⨀))⩣⫁∢(≋((⫏≰1101222⇉⇉)↬⫏≰2102111≹⇙⪍⫏≰11222001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21721,"operation_count":11,"complexity_ratio":1974.6363636363637,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1015,"base":3},"right_expr":{"type":"numeric_atoms","value":2151,"base":3}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2169,"base":3},"right_expr":{"type":"numeric_atoms","value":2720,"base":3}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1362,"base":3}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1025,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1768,"base":3},"right_expr":{"type":"numeric_atoms","value":3619,"base":3}}}}},"used_operators":["JDUIKTTSIa","HJ9erzHUuu","z9ffQ9n5Zr","212REbPD9h","aNhz54LH3e","aA7tF3KVD3","CqXKPLVYql","61wBmkZwlr","B5M0gjZbta","diKm42VcIt","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","7j4O788W3g","rGHVDoGpnC","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2151, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=46242104","layer":3},{"info":"number node, value=2169","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=2720, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=46242104, right_input=19558, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"number node, value=1362","layer":4},{"info":"compute unary expreesion, input=1362, 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":3},{"info":"compute unary expreesion, input=67, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=70","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=70, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-54956","layer":3},{"info":"number node, value=1768","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=3619, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-54956, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1101121⋾⨃∁⫏≰2221200∕⩚⫏≰2222100≎⪠⫏≰10201202)⪔⊥((∮⫏≰1212110)⪘⨀))⩣⫁∢(≋((⫏≰1101222⇉⇉)↬⫏≰2102111≹⇙⪍⫏≰11222001))=NaN","reverse_text":"NaN=((⫏≰1101121⋾⨃∁⫏≰2221200∕⩚⫏≰2222100≎⪠⫏≰10201202)⪔⊥((∮⫏≰1212110)⪘⨀))⩣⫁∢(≋((⫏≰1101222⇉⇉)↬⫏≰2102111≹⇙⪍⫏≰11222001))","cot":[{"info":"⫏≰1101121⋾⨃∁⫏≰2221200=⫏≰10020000100020112","layer":3},{"info":"⫏≰2222100≎⪠⫏≰10201202=⫏≰222211101","layer":3},{"info":"⫏≰10020000100020112∕⩚⫏≰222211101=NaN","layer":2},{"info":"∮⫏≰1212110=⫏≰2111","layer":3},{"info":"⫏≰2111⪘⨀=⫏≰2121","layer":2},{"info":"NaN⪔⊥⫏≰2121=NaN","layer":1},{"info":"⫏≰1101222⇉⇉=⫏≰-2210101102","layer":3},{"info":"⫏≰2102111≹⇙⪍⫏≰11222001=NaN","layer":3},{"info":"⫏≰-2210101102↬NaN=NaN","layer":2},{"info":"≋NaN=NaN","layer":1},{"info":"NaN⩣⫁∢NaN=NaN","layer":0}]}
{"id":429,"expression_no_base_symbol":"(((∨∊⋏$1486$)∪⫐($1422$⊠≄⫣))⨑≵⋬($2499$⋅⇍$1731$)≄⊠$6161$⇻⋧≁$7267$)⩖⊿((($4822$∀⋜↑)⪁$6021$⨿$2635$)⊱⇼⊻(⊄⩳↩($2768$≀⩗∶$2730$)))","expression":"(((∨∊⋏⫏≰2001001)∪⫐(⫏≰1221200⊠≄⫣))⨑≵⋬(⫏≰10102120⋅⇍⫏≰2101010)≄⊠⫏≰22110012⇻⋧≁⫏≰100222011)⩖⊿(((⫏≰20121121∀⋜↑)⪁⫏≰22021000⨿⫏≰10121121)⊱⇼⊻(⊄⩳↩(⫏≰10210112≀⩗∶⫏≰10202010)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":99207,"operation_count":14,"complexity_ratio":7086.214285714285,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1486,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1422,"base":3}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2499,"base":3},"right_expr":{"type":"numeric_atoms","value":1731,"base":3}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":6161,"base":3},"right_expr":{"type":"numeric_atoms","value":7267,"base":3}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":4822,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":6021,"base":3},"right_expr":{"type":"numeric_atoms","value":2635,"base":3}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2768,"base":3},"right_expr":{"type":"numeric_atoms","value":2730,"base":3}}}}},"used_operators":["RZ5CV9rWsJ","XnXgA4xnOs","7YooWSwCyH","R5aXW34M0v","DIvbN7qnHd","vXNesLlMH1","AdZkA7nFnk","jCPkEVoL5K","FyVja0WsTP","I7sXao9hZE","KipPnG1M2J","abYXlopdE0","8w2t5hMYqp","8INZBEW696"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=22463","layer":3},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=22463, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=22463","layer":2},{"info":"number node, value=2499","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=1731, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=6161","layer":4},{"info":"number node, value=7267","layer":4},{"info":"compute binary expreesion, left_input=6161, right_input=7267, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-447, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=22463, right_input=1500, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=103194","layer":1},{"info":"number node, value=4822","layer":4},{"info":"compute unary expreesion, input=4822, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=6021","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=6021, right_input=2635, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=-319, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=2768","layer":4},{"info":"number node, value=2730","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=2730, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=103194, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((∨∊⋏⫏≰2001001)∪⫐(⫏≰1221200⊠≄⫣))⨑≵⋬(⫏≰10102120⋅⇍⫏≰2101010)≄⊠⫏≰22110012⇻⋧≁⫏≰100222011)⩖⊿(((⫏≰20121121∀⋜↑)⪁⫏≰22021000⨿⫏≰10121121)⊱⇼⊻(⊄⩳↩(⫏≰10210112≀⩗∶⫏≰10202010)))=NaN","reverse_text":"NaN=(((∨∊⋏⫏≰2001001)∪⫐(⫏≰1221200⊠≄⫣))⨑≵⋬(⫏≰10102120⋅⇍⫏≰2101010)≄⊠⫏≰22110012⇻⋧≁⫏≰100222011)⩖⊿(((⫏≰20121121∀⋜↑)⪁⫏≰22021000⨿⫏≰10121121)⊱⇼⊻(⊄⩳↩(⫏≰10210112≀⩗∶⫏≰10202010)))","cot":[{"info":"∨∊⋏⫏≰2001001=⫏≰1010210222","layer":3},{"info":"⫏≰1221200⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰1010210222∪⫐⫏≰0=⫏≰1010210222","layer":2},{"info":"⫏≰10102120⋅⇍⫏≰2101010=⫏≰-211","layer":3},{"info":"⫏≰22110012⇻⋧≁⫏≰100222011=⫏≰-121120","layer":3},{"info":"⫏≰-211≄⊠⫏≰-121120=⫏≰2001120","layer":2},{"info":"⫏≰1010210222⨑≵⋬⫏≰2001120=⫏≰12020120000","layer":1},{"info":"⫏≰20121121∀⋜↑=⫏≰-122221","layer":3},{"info":"⫏≰22021000⨿⫏≰10121121=⫏≰-102211","layer":3},{"info":"⫏≰-122221⪁⫏≰-102211=NaN","layer":2},{"info":"⫏≰10210112≀⩗∶⫏≰10202010=⫏≰0","layer":3},{"info":"⊄⩳↩⫏≰0=⫏≰0","layer":2},{"info":"NaN⊱⇼⊻⫏≰0=NaN","layer":1},{"info":"⫏≰12020120000⩖⊿NaN=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"((∓$1760$⨔⇊$4463$)⩒⫫(($3709$⋥≓≎$2341$)⩧⪆$9344$⋹⋡⊁$6963$))⨜⨶((($1011$∲⫓$2135$)∠⫱$3878$⫗⊷⫓$5759$)⩚⊴⇥((⩰$1795$)↓⨍⋜))","expression":"((∓⫏≰2102012⨔⇊⫏≰20010022)⩒⫫((⫏≰12002101⋥≓≎⫏≰10012201)⩧⪆⫏≰110211002⋹⋡⊁⫏≰100112220))⨜⨶(((⫏≰1101110∲⫓⫏≰2221002)∠⫱⫏≰12022122⫗⊷⫓⫏≰21220022)⩚⊴⇥((⩰⫏≰2110111)↓⨍⋜))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":63534,"operation_count":13,"complexity_ratio":4887.2307692307695,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1760,"base":3},"right_expr":{"type":"numeric_atoms","value":4463,"base":3}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3709,"base":3},"right_expr":{"type":"numeric_atoms","value":2341,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":9344,"base":3},"right_expr":{"type":"numeric_atoms","value":6963,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1011,"base":3},"right_expr":{"type":"numeric_atoms","value":2135,"base":3}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3878,"base":3},"right_expr":{"type":"numeric_atoms","value":5759,"base":3}}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1795,"base":3}}}}},"used_operators":["HiPekx5b7W","KFSx94NKJn","OwUj7dcsQK","JclMnS0uGI","Ikt5ks8PT7","Qy55tPpLXF","As8RqfVLgs","NTOWxs364D","QvoQhV0rrE","i8ToyICDmI","zashukvMKz","3DVzLFNsE9","WkeUrDK8WX"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"⫏≰-1212122002202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1760","layer":4},{"info":"number node, value=4463","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=4463, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4463","layer":3},{"info":"compute unary expreesion, input=4463, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-71817","layer":2},{"info":"number node, value=3709","layer":4},{"info":"number node, value=2341","layer":4},{"info":"compute binary expreesion, left_input=3709, right_input=2341, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1006","layer":3},{"info":"number node, value=9344","layer":4},{"info":"number node, value=6963","layer":4},{"info":"compute binary expreesion, left_input=9344, right_input=6963, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7713","layer":3},{"info":"compute binary expreesion, left_input=1006, right_input=7713, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7713","layer":2},{"info":"compute binary expreesion, left_input=-71817, right_input=-7713, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"number node, value=1011","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=2135, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3878","layer":4},{"info":"number node, value=5759","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=5759, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=134","layer":2},{"info":"number node, value=1795","layer":4},{"info":"compute unary expreesion, input=1795, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2795","layer":3},{"info":"compute unary expreesion, input=-2795, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=166245","layer":2},{"info":"compute binary expreesion, left_input=134, right_input=166245, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-166500","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-166500, 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=-996617","layer":0}],"base":3,"result_base":3,"text":"((∓⫏≰2102012⨔⇊⫏≰20010022)⩒⫫((⫏≰12002101⋥≓≎⫏≰10012201)⩧⪆⫏≰110211002⋹⋡⊁⫏≰100112220))⨜⨶(((⫏≰1101110∲⫓⫏≰2221002)∠⫱⫏≰12022122⫗⊷⫓⫏≰21220022)⩚⊴⇥((⩰⫏≰2110111)↓⨍⋜))=⫏≰-1212122002202","reverse_text":"⫏≰-1212122002202=((∓⫏≰2102012⨔⇊⫏≰20010022)⩒⫫((⫏≰12002101⋥≓≎⫏≰10012201)⩧⪆⫏≰110211002⋹⋡⊁⫏≰100112220))⨜⨶(((⫏≰1101110∲⫓⫏≰2221002)∠⫱⫏≰12022122⫗⊷⫓⫏≰21220022)⩚⊴⇥((⩰⫏≰2110111)↓⨍⋜))","cot":[{"info":"⫏≰2102012⨔⇊⫏≰20010022=⫏≰20010022","layer":3},{"info":"∓⫏≰20010022=⫏≰-10122111220","layer":2},{"info":"⫏≰12002101⋥≓≎⫏≰10012201=⫏≰1101021","layer":3},{"info":"⫏≰110211002⋹⋡⊁⫏≰100112220=⫏≰101120200","layer":3},{"info":"⫏≰1101021⩧⪆⫏≰101120200=⫏≰-101120200","layer":2},{"info":"⫏≰-10122111220⩒⫫⫏≰-101120200=⫏≰12221","layer":1},{"info":"⫏≰1101110∲⫓⫏≰2221002=⫏≰0","layer":3},{"info":"⫏≰12022122⫗⊷⫓⫏≰21220022=⫏≰-11222","layer":3},{"info":"⫏≰0∠⫱⫏≰-11222=⫏≰11222","layer":2},{"info":"⩰⫏≰2110111=⫏≰-10211112","layer":3},{"info":"⫏≰-10211112↓⨍⋜=⫏≰22110001020","layer":2},{"info":"⫏≰11222⩚⊴⇥⫏≰22110001020=⫏≰-22110101200","layer":1},{"info":"⫏≰12221⨜⨶⫏≰-22110101200=⫏≰-1212122002202","layer":0}]}
{"id":431,"expression_no_base_symbol":"∂((⇉-⫰($4727$≬⇓$1406$))⨒(+⊝⨔($3468$⨽$1758$)))","expression":"∂((⇉-⫰(⫏≰20111002≬⇓⫏≰1221002))⨒(+⊝⨔(⫏≰11202110⨽⫏≰2102010)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4611,"operation_count":6,"complexity_ratio":768.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4727,"base":3},"right_expr":{"type":"numeric_atoms","value":1406,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3468,"base":3},"right_expr":{"type":"numeric_atoms","value":1758,"base":3}}}}},"used_operators":["Uaa54Peajs","y75s1iXyHd","IGFM8TAlm9","jWTQ2TZYIH","DhbWaqg5eL","8HhzD0ZcuI"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eH2TOUuTDT","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4727","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=4727, right_input=1406, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=3468","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=3468, right_input=1758, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-36085032","layer":3},{"info":"compute unary expreesion, input=-36085032, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=1522, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1157776","layer":1},{"info":"compute unary expreesion, input=1157776, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∂((⇉-⫰(⫏≰20111002≬⇓⫏≰1221002))⨒(+⊝⨔(⫏≰11202110⨽⫏≰2102010)))=NaN","reverse_text":"NaN=∂((⇉-⫰(⫏≰20111002≬⇓⫏≰1221002))⨒(+⊝⨔(⫏≰11202110⨽⫏≰2102010)))","cot":[{"info":"⫏≰20111002≬⇓⫏≰1221002=⫏≰-211","layer":3},{"info":"⇉-⫰⫏≰-211=⫏≰202","layer":2},{"info":"⫏≰11202110⨽⫏≰2102010=⫏≰-2111220022100200","layer":3},{"info":"+⊝⨔⫏≰-2111220022100200=⫏≰2002101","layer":2},{"info":"⫏≰202⨒⫏≰2002101=⫏≰2011211011121","layer":1},{"info":"∂⫏≰2011211011121=NaN","layer":0}]}
{"id":432,"expression_no_base_symbol":"(∤↝($3474$⫑%∭)⫁(⨛$1758$))↳∿⪆((⪭⩑⪱$5120$)+⪬∐($3107$⊉≛↸$2358$))∌($4131$∓⋝$5106$⊾⪯⋞$1124$⫰⋱$1809$)","expression":"(∤↝(⫏≰11202200⫑%∭)⫁(⨛⫏≰2102010))↳∿⪆((⪭⩑⪱⫏≰21000122)+⪬∐(⫏≰11021002⊉≛↸⫏≰10020100))∌(⫏≰12200000∓⋝⫏≰21000010⊾⪯⋞⫏≰1112122⫰⋱⫏≰2111000)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":997631,"operation_count":12,"complexity_ratio":83135.91666666667,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":3474,"base":3}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1758,"base":3}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":5120,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3107,"base":3},"right_expr":{"type":"numeric_atoms","value":2358,"base":3}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4131,"base":3},"right_expr":{"type":"numeric_atoms","value":5106,"base":3}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1124,"base":3},"right_expr":{"type":"numeric_atoms","value":1809,"base":3}}}}},"used_operators":["Cw4SuJJGHO","3UMq87Qwqg","0ajvFaJAv0","xUx7qlDO4z","CoMdbyAt7R","8cLx32lpNA","2GS7woTJqF","SIgE0bArFf","DZ8iAZOCBD","HK0tfVPux8","PoHhknlbAi","6o9Blt3TJ6"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","cHh1gJQ2o6","AHs5Up7iyr","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3474","layer":4},{"info":"compute unary expreesion, input=3474, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=1758","layer":4},{"info":"compute unary expreesion, input=1758, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, 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=160","layer":1},{"info":"number node, value=5120","layer":4},{"info":"compute unary expreesion, input=5120, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=3107","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=3107, right_input=2358, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6214","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=6214, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-24962256","layer":2},{"info":"number node, value=4131","layer":4},{"info":"number node, value=5106","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=5106, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=1809, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1091","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-1091, 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":2},{"info":"compute binary expreesion, left_input=-24962256, right_input=-820, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-24962256","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-24962256, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∤↝(⫏≰11202200⫑%∭)⫁(⨛⫏≰2102010))↳∿⪆((⪭⩑⪱⫏≰21000122)+⪬∐(⫏≰11021002⊉≛↸⫏≰10020100))∌(⫏≰12200000∓⋝⫏≰21000010⊾⪯⋞⫏≰1112122⫰⋱⫏≰2111000)=NaN","reverse_text":"NaN=(∤↝(⫏≰11202200⫑%∭)⫁(⨛⫏≰2102010))↳∿⪆((⪭⩑⪱⫏≰21000122)+⪬∐(⫏≰11021002⊉≛↸⫏≰10020100))∌(⫏≰12200000∓⋝⫏≰21000010⊾⪯⋞⫏≰1112122⫰⋱⫏≰2111000)","cot":[{"info":"⫏≰11202200⫑%∭=NaN","layer":3},{"info":"⨛⫏≰2102010=NaN","layer":3},{"info":"NaN⫁NaN=⫏≰12221","layer":2},{"info":"∤↝⫏≰12221=⫏≰12221","layer":1},{"info":"⪭⩑⪱⫏≰21000122=⫏≰120122201221000","layer":3},{"info":"⫏≰11021002⊉≛↸⫏≰10020100=⫏≰22112011","layer":3},{"info":"⫏≰120122201221000+⪬∐⫏≰22112011=⫏≰-1201222012210000","layer":2},{"info":"⫏≰12200000∓⋝⫏≰21000010=⫏≰2111","layer":3},{"info":"⫏≰1112122⫰⋱⫏≰2111000=⫏≰-1111102","layer":3},{"info":"⫏≰2111⊾⪯⋞⫏≰-1111102=⫏≰-1010101","layer":2},{"info":"⫏≰-1201222012210000∌⫏≰-1010101=⫏≰-1201222012210000","layer":1},{"info":"⫏≰12221↳∿⪆⫏≰-1201222012210000=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"(($8330$⇤$3120$⩧⪆(⋠∜$4826$))⪎↠(↡$2696$⪟⇏$6542$))⨕⋳","expression":"((⫏≰102102112⇤⫏≰11021120⩧⪆(⋠∜⫏≰20121202))⪎↠(↡⫏≰10200212⪟⇏⫏≰22222022))⨕⋳","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":181,"operation_count":7,"complexity_ratio":25.857142857142858,"tree":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":8330,"base":3},"right_expr":{"type":"numeric_atoms","value":3120,"base":3}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4826,"base":3}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2696,"base":3},"right_expr":{"type":"numeric_atoms","value":6542,"base":3}}}}},"used_operators":["4X4GscPmMf","3tVxb0NHM4","Ikt5ks8PT7","YSKBFp38Pu","ZJpFhNJr3x","MXaNJeIAZ3","GODebY97qR"],"dependent_operators":["9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⫏≰-11221022210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8330","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=8330, right_input=3120, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-54402","layer":3},{"info":"number node, value=4826","layer":4},{"info":"compute unary expreesion, input=4826, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=21588","layer":3},{"info":"compute binary expreesion, left_input=-54402, right_input=21588, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-21588","layer":2},{"info":"number node, value=2696","layer":4},{"info":"number node, value=6542","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=6542, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-9","layer":2},{"info":"compute binary expreesion, left_input=-21588, right_input=-9, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-97194","layer":0}],"base":3,"result_base":3,"text":"((⫏≰102102112⇤⫏≰11021120⩧⪆(⋠∜⫏≰20121202))⪎↠(↡⫏≰10200212⪟⇏⫏≰22222022))⨕⋳=⫏≰-11221022210","reverse_text":"⫏≰-11221022210=((⫏≰102102112⇤⫏≰11021120⩧⪆(⋠∜⫏≰20121202))⪎↠(↡⫏≰10200212⪟⇏⫏≰22222022))⨕⋳","cot":[{"info":"⫏≰102102112⇤⫏≰11021120=⫏≰-2202121220","layer":3},{"info":"⋠∜⫏≰20121202=⫏≰1002121120","layer":3},{"info":"⫏≰-2202121220⩧⪆⫏≰1002121120=⫏≰-1002121120","layer":2},{"info":"⫏≰10200212⪟⇏⫏≰22222022=⫏≰-1","layer":3},{"info":"↡⫏≰-1=⫏≰-100","layer":2},{"info":"⫏≰-1002121120⪎↠⫏≰-100=⫏≰-2001","layer":1},{"info":"⫏≰-2001⨕⋳=⫏≰-11221022210","layer":0}]}
{"id":434,"expression_no_base_symbol":"(⊖((⨙⪌$1779$)⩉⊫⨁))⪇≇⋚(↩($4008$⊢))⊱⇼⊻($1352$⨼⩣$3049$)∊∟⩊($4564$⨑≵⋬$2252$)","expression":"(⊖((⨙⪌⫏≰2102220)⩉⊫⨁))⪇≇⋚(↩(⫏≰12111110⊢))⊱⇼⊻(⫏≰1212002⨼⩣⫏≰11011221)∊∟⩊(⫏≰20021001⨑≵⋬⫏≰10002102)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1349,"operation_count":10,"complexity_ratio":134.9,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1779,"base":3}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":4008,"base":3}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1352,"base":3},"right_expr":{"type":"numeric_atoms","value":3049,"base":3}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4564,"base":3},"right_expr":{"type":"numeric_atoms","value":2252,"base":3}}}}},"used_operators":["3sJ7IOPOlU","U6pG0PXrV3","7qqUquhhSb","vEGLkm4Z2k","FyVja0WsTP","jLgFTUHLKL","40aOVDgCDB","ddLRYrp01A","JxwMv5le6e","XnXgA4xnOs"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","7j4O788W3g","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","NTOWxs364D","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1779","layer":4},{"info":"compute unary expreesion, input=1779, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"number node, value=4008","layer":4},{"info":"compute unary expreesion, input=4008, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-4255","layer":3},{"info":"compute unary expreesion, input=-4255, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=19640","layer":2},{"info":"number node, value=1352","layer":4},{"info":"number node, value=3049","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=3049, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=4564","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=4564, right_input=2252, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=8435","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8435, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=8435","layer":2},{"info":"compute binary expreesion, left_input=19640, right_input=8435, 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=0, right_input=434, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⊖((⨙⪌⫏≰2102220)⩉⊫⨁))⪇≇⋚(↩(⫏≰12111110⊢))⊱⇼⊻(⫏≰1212002⨼⩣⫏≰11011221)∊∟⩊(⫏≰20021001⨑≵⋬⫏≰10002102)=⫏≰0","reverse_text":"⫏≰0=(⊖((⨙⪌⫏≰2102220)⩉⊫⨁))⪇≇⋚(↩(⫏≰12111110⊢))⊱⇼⊻(⫏≰1212002⨼⩣⫏≰11011221)∊∟⩊(⫏≰20021001⨑≵⋬⫏≰10002102)","cot":[{"info":"⨙⪌⫏≰2102220=⫏≰1012011","layer":3},{"info":"⫏≰1012011⩉⊫⨁=⫏≰1012011","layer":2},{"info":"⊖⫏≰1012011=⫏≰0","layer":1},{"info":"⫏≰12111110⊢=⫏≰-12211121","layer":3},{"info":"↩⫏≰-12211121=⫏≰222221102","layer":2},{"info":"⫏≰1212002⨼⩣⫏≰11011221=NaN","layer":3},{"info":"⫏≰20021001⨑≵⋬⫏≰10002102=⫏≰102120102","layer":3},{"info":"NaN∊∟⩊⫏≰102120102=⫏≰102120102","layer":2},{"info":"⫏≰222221102⊱⇼⊻⫏≰102120102=⫏≰121002","layer":1},{"info":"⫏≰0⪇≇⋚⫏≰121002=⫏≰0","layer":0}]}
{"id":435,"expression_no_base_symbol":"⊀((($1246$⇚⪠)⩚⊴⇥($1067$⨶))⋾⨃∁((⋠∜$9082$)⇄(⊑$2064$)))","expression":"⊀(((⫏≰1201011⇚⪠)⩚⊴⇥(⫏≰1110112⨶))⋾⨃∁((⋠∜⫏≰110110101)⇄(⊑⫏≰2211110)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1758,"operation_count":8,"complexity_ratio":219.75,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1246,"base":3}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1067,"base":3}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":9082,"base":3}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2064,"base":3}}}}},"used_operators":["oPMjh9089D","212REbPD9h","NTOWxs364D","Loh9y4A90B","rFxw8gIMmB","3EYGwJThht","ZJpFhNJr3x","IkUmn0D7oy"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","f6k1SAg4EE","Qy55tPpLXF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⫏≰112000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1246","layer":4},{"info":"compute unary expreesion, input=1246, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=3105032","layer":3},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=388","layer":3},{"info":"compute binary expreesion, left_input=3105032, right_input=388, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3105541","layer":2},{"info":"number node, value=9082","layer":4},{"info":"compute unary expreesion, input=9082, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=38612","layer":3},{"info":"number node, value=2064","layer":4},{"info":"compute unary expreesion, input=2064, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=38612, right_input=192, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3105541, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=378","layer":0}],"base":3,"result_base":3,"text":"⊀(((⫏≰1201011⇚⪠)⩚⊴⇥(⫏≰1110112⨶))⋾⨃∁((⋠∜⫏≰110110101)⇄(⊑⫏≰2211110)))=⫏≰112000","reverse_text":"⫏≰112000=⊀(((⫏≰1201011⇚⪠)⩚⊴⇥(⫏≰1110112⨶))⋾⨃∁((⋠∜⫏≰110110101)⇄(⊑⫏≰2211110)))","cot":[{"info":"⫏≰1201011⇚⪠=⫏≰12211202022012","layer":3},{"info":"⫏≰1110112⨶=⫏≰112101","layer":3},{"info":"⫏≰12211202022012⩚⊴⇥⫏≰112101=⫏≰-12211210000001","layer":2},{"info":"⋠∜⫏≰110110101=⫏≰1221222002","layer":3},{"info":"⊑⫏≰2211110=⫏≰21010","layer":3},{"info":"⫏≰1221222002⇄⫏≰21010=⫏≰0","layer":2},{"info":"⫏≰-12211210000001⋾⨃∁⫏≰0=⫏≰12221","layer":1},{"info":"⊀⫏≰12221=⫏≰112000","layer":0}]}
{"id":436,"expression_no_base_symbol":"⇙⪊(($2286$⪚$4915$)∺≝⩲($3479$≒∊$2024$)⩠)","expression":"⇙⪊((⫏≰10010200⪚⫏≰20202001)∺≝⩲(⫏≰11202212≒∊⫏≰2202222)⩠)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":55,"operation_count":5,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2286,"base":3},"right_expr":{"type":"numeric_atoms","value":4915,"base":3}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3479,"base":3},"right_expr":{"type":"numeric_atoms","value":2024,"base":3}}}}},"used_operators":["pB6Fcnrjim","sJAwomhLZr","KPf6cnQVty","HrjLwUk87U","5KTvxBwnZo"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2286","layer":4},{"info":"number node, value=4915","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=4915, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5614","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=2024, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2995","layer":3},{"info":"compute binary expreesion, left_input=-5614, right_input=-2995, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-431","layer":1},{"info":"compute unary expreesion, input=-431, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"⇙⪊((⫏≰10010200⪚⫏≰20202001)∺≝⩲(⫏≰11202212≒∊⫏≰2202222)⩠)=⫏≰0","reverse_text":"⫏≰0=⇙⪊((⫏≰10010200⪚⫏≰20202001)∺≝⩲(⫏≰11202212≒∊⫏≰2202222)⩠)","cot":[{"info":"⫏≰10010200⪚⫏≰20202001=⫏≰-21200221","layer":3},{"info":"⫏≰11202212≒∊⫏≰2202222=⫏≰-11002221","layer":3},{"info":"⫏≰-21200221∺≝⩲⫏≰-11002221=⫏≰12221","layer":2},{"info":"⫏≰12221⩠=⫏≰-120222","layer":1},{"info":"⇙⪊⫏≰-120222=⫏≰0","layer":0}]}
{"id":437,"expression_no_base_symbol":"((($2337$≦≮≮)⊍⩺⋍$5337$⪍↜⋙$1586$)≥⨤⩑($1919$⇻⋧≁$1193$⨵⪆(⪛⨧$6321$)))≁↽≥(($3736$≁↽≥$3215$⫑)⫘((↩$4948$)⫔⩽⩺(⪲⇎$2572$)))","expression":"(((⫏≰10012120≦≮≮)⊍⩺⋍⫏≰21022200⪍↜⋙⫏≰2011202)≥⨤⩑(⫏≰2122002⇻⋧≁⫏≰1122012⨵⪆(⪛⨧⫏≰22200010)))≁↽≥((⫏≰12010101≁↽≥⫏≰11102002⫑)⫘((↩⫏≰20210021)⫔⩽⩺(⪲⇎⫏≰10112021)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6625,"operation_count":14,"complexity_ratio":473.2142857142857,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2337,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5337,"base":3},"right_expr":{"type":"numeric_atoms","value":1586,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1919,"base":3},"right_expr":{"type":"numeric_atoms","value":1193,"base":3}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":6321,"base":3}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3736,"base":3},"right_expr":{"type":"numeric_atoms","value":3215,"base":3}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4948,"base":3}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2572,"base":3}}}}},"used_operators":["ncHt1X6cMc","gJLn6v0xnP","OXDGMFPWZM","D4vGDi5EA2","L05ObWFQCd","2DQ55sFlQl","jCPkEVoL5K","6NJAcO2OWT","48vC8HMD2b","CgIo77xlM2","i9eR4S00cU","jLgFTUHLKL","XPYlsWDdGa"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰1110000102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7011","layer":3},{"info":"number node, value=5337","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=5337, right_input=1586, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=7502","layer":3},{"info":"compute binary expreesion, left_input=-7011, right_input=7502, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=1919","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=1193, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=6321","layer":4},{"info":"compute unary expreesion, input=6321, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=14043","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=14043, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=3736","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=3736, right_input=3215, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=51982","layer":3},{"info":"compute unary expreesion, input=51982, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"number node, value=4948","layer":4},{"info":"compute unary expreesion, input=4948, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-36804","layer":3},{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5144","layer":3},{"info":"compute binary expreesion, left_input=-36804, right_input=5144, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4683709","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=4683709, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28442","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10012120≦≮≮)⊍⩺⋍⫏≰21022200⪍↜⋙⫏≰2011202)≥⨤⩑(⫏≰2122002⇻⋧≁⫏≰1122012⨵⪆(⪛⨧⫏≰22200010)))≁↽≥((⫏≰12010101≁↽≥⫏≰11102002⫑)⫘((↩⫏≰20210021)⫔⩽⩺(⪲⇎⫏≰10112021)))=⫏≰1110000102","reverse_text":"⫏≰1110000102=(((⫏≰10012120≦≮≮)⊍⩺⋍⫏≰21022200⪍↜⋙⫏≰2011202)≥⨤⩑(⫏≰2122002⇻⋧≁⫏≰1122012⨵⪆(⪛⨧⫏≰22200010)))≁↽≥((⫏≰12010101≁↽≥⫏≰11102002⫑)⫘((↩⫏≰20210021)⫔⩽⩺(⪲⇎⫏≰10112021)))","cot":[{"info":"⫏≰10012120≦≮≮=⫏≰-100121200","layer":3},{"info":"⫏≰21022200⪍↜⋙⫏≰2011202=⫏≰101021212","layer":3},{"info":"⫏≰-100121200⊍⩺⋍⫏≰101021212=NaN","layer":2},{"info":"⫏≰2122002⇻⋧≁⫏≰1122012=⫏≰-121120","layer":3},{"info":"⪛⨧⫏≰22200010=⫏≰201021010","layer":3},{"info":"⫏≰-121120⨵⪆⫏≰201021010=⫏≰12221","layer":2},{"info":"NaN≥⨤⩑⫏≰12221=⫏≰1200201","layer":1},{"info":"⫏≰12010101≁↽≥⫏≰11102002=⫏≰2122022021","layer":3},{"info":"⫏≰2122022021⫑=⫏≰12110101","layer":2},{"info":"↩⫏≰20210021=⫏≰-1212111010","layer":3},{"info":"⪲⇎⫏≰10112021=⫏≰21001112","layer":3},{"info":"⫏≰-1212111010⫔⩽⩺⫏≰21001112=NaN","layer":2},{"info":"⫏≰12110101⫘NaN=⫏≰22210221211201","layer":1},{"info":"⫏≰1200201≁↽≥⫏≰22210221211201=⫏≰1110000102","layer":0}]}
{"id":438,"expression_no_base_symbol":"⨝⨆($2695$⊢$4095$⪕($1307$*$9379$)⪊≅)","expression":"⨝⨆(⫏≰10200211⊢⫏≰12121200⪕(⫏≰1210102*⫏≰110212101)⪊≅)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1355,"operation_count":5,"complexity_ratio":271.0,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2695,"base":3},"right_expr":{"type":"numeric_atoms","value":4095,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1307,"base":3},"right_expr":{"type":"numeric_atoms","value":9379,"base":3}}}}},"used_operators":["bQ67fsrMVf","bjFbhXSADs","umQnsF7QlU","5twsqlHp2o","9HNa5Wba9A"],"dependent_operators":["tifHPKVTfV","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe"],"result":"⫏≰-21202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2695","layer":4},{"info":"number node, value=4095","layer":4},{"info":"compute binary expreesion, left_input=2695, right_input=4095, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5634","layer":3},{"info":"number node, value=1307","layer":4},{"info":"number node, value=9379","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=9379, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12258353","layer":3},{"info":"compute binary expreesion, left_input=-5634, right_input=12258353, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-209","layer":0}],"base":3,"result_base":3,"text":"⨝⨆(⫏≰10200211⊢⫏≰12121200⪕(⫏≰1210102*⫏≰110212101)⪊≅)=⫏≰-21202","reverse_text":"⫏≰-21202=⨝⨆(⫏≰10200211⊢⫏≰12121200⪕(⫏≰1210102*⫏≰110212101)⪊≅)","cot":[{"info":"⫏≰10200211⊢⫏≰12121200=⫏≰-21201200","layer":3},{"info":"⫏≰1210102*⫏≰110212101=⫏≰212001210022002","layer":3},{"info":"⫏≰-21201200⪕⫏≰212001210022002=⫏≰-2001","layer":2},{"info":"⫏≰-2001⪊≅=⫏≰0","layer":1},{"info":"⨝⨆⫏≰0=⫏≰-21202","layer":0}]}
{"id":439,"expression_no_base_symbol":"(∨∊⋏($9533$∑⇟⊟$1056$))∘($1072$⪔$1502$)≴⪞⇿($4598$⪢$2847$)⫒⫫(($1117$⊭↱$2215$)⨻⩈⩔(⨡↴$1826$))→⨶⪴($2636$⨪↰⇹$5273$)⋛($1342$∟)","expression":"(∨∊⋏(⫏≰111002002∑⇟⊟⫏≰1110010))∘(⫏≰1110201⪔⫏≰2001122)≴⪞⇿(⫏≰20022022⪢⫏≰10220110)⫒⫫((⫏≰1112101⊭↱⫏≰10001001)⨻⩈⩔(⨡↴⫏≰2111122))→⨶⪴(⫏≰10121122⨪↰⇹⫏≰21020022)⋛(⫏≰1211201∟)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8095,"operation_count":14,"complexity_ratio":578.2142857142857,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":9533,"base":3},"right_expr":{"type":"numeric_atoms","value":1056,"base":3}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1072,"base":3},"right_expr":{"type":"numeric_atoms","value":1502,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4598,"base":3},"right_expr":{"type":"numeric_atoms","value":2847,"base":3}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1117,"base":3},"right_expr":{"type":"numeric_atoms","value":2215,"base":3}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1826,"base":3}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2636,"base":3},"right_expr":{"type":"numeric_atoms","value":5273,"base":3}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1342,"base":3}}}}},"used_operators":["6Ko8hGgeMq","Z5m6OM72h2","R5aXW34M0v","U7g4x0WXJJ","lvlrscuwVU","GjBEYRfMaF","dWAJyo7jo9","bF6eod5Gvf","nEsXyWgiOK","COABgblf1C","liw5iZPkLH","YbUVn0Rbpy","tmPS8pqC7x","hTbEZDJLEm"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eH2TOUuTDT","rysDP5nf3Z","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","k8jYdgA6NY","8w2t5hMYqp","9FxExcQeMw","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rJVOvQCfKK","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9533","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=9533, right_input=1056, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1502, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=4598","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=4598, right_input=2847, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=62892","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=62892, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=1117","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=2215, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2201","layer":3},{"info":"number node, value=1826","layer":4},{"info":"compute unary expreesion, input=1826, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2875","layer":3},{"info":"compute binary expreesion, left_input=2201, right_input=2875, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9207","layer":2},{"info":"number node, value=2636","layer":4},{"info":"number node, value=5273","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=5273, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2636","layer":3},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2636, right_input=113, 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=-108468","layer":2},{"info":"compute binary expreesion, left_input=9207, right_input=-108468, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=235318","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=235318, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∨∊⋏(⫏≰111002002∑⇟⊟⫏≰1110010))∘(⫏≰1110201⪔⫏≰2001122)≴⪞⇿(⫏≰20022022⪢⫏≰10220110)⫒⫫((⫏≰1112101⊭↱⫏≰10001001)⨻⩈⩔(⨡↴⫏≰2111122))→⨶⪴(⫏≰10121122⨪↰⇹⫏≰21020022)⋛(⫏≰1211201∟)=NaN","reverse_text":"NaN=(∨∊⋏(⫏≰111002002∑⇟⊟⫏≰1110010))∘(⫏≰1110201⪔⫏≰2001122)≴⪞⇿(⫏≰20022022⪢⫏≰10220110)⫒⫫((⫏≰1112101⊭↱⫏≰10001001)⨻⩈⩔(⨡↴⫏≰2111122))→⨶⪴(⫏≰10121122⨪↰⇹⫏≰21020022)⋛(⫏≰1211201∟)","cot":[{"info":"⫏≰111002002∑⇟⊟⫏≰1110010=NaN","layer":3},{"info":"∨∊⋏NaN=NaN","layer":2},{"info":"⫏≰1110201⪔⫏≰2001122=⫏≰121200","layer":3},{"info":"⫏≰20022022⪢⫏≰10220110=NaN","layer":3},{"info":"⫏≰121200≴⪞⇿NaN=⫏≰10012021100","layer":2},{"info":"NaN∘⫏≰10012021100=NaN","layer":1},{"info":"⫏≰1112101⊭↱⫏≰10001001=⫏≰10000112","layer":3},{"info":"⨡↴⫏≰2111122=⫏≰10221111","layer":3},{"info":"⫏≰10000112⨻⩈⩔⫏≰10221111=⫏≰110122000","layer":2},{"info":"⫏≰10121122⨪↰⇹⫏≰21020022=⫏≰10121122","layer":3},{"info":"⫏≰1211201∟=⫏≰11012","layer":3},{"info":"⫏≰10121122⋛⫏≰11012=⫏≰-12111210100","layer":2},{"info":"⫏≰110122000→⨶⪴⫏≰-12111210100=⫏≰102221210111","layer":1},{"info":"NaN⫒⫫⫏≰102221210111=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"($1877$⊜)⨼⩣($8658$⫲≸⪮$1856$)⋻⩜⩜(⫵↿$2015$)≁↽≥(⊆⋠$6075$)∷(⇈(↽≂$4763$⇴∐$2509$))","expression":"(⫏≰2120112⊜)⨼⩣(⫏≰102212200⫲≸⪮⫏≰2112202)⋻⩜⩜(⫵↿⫏≰2202122)≁↽≥(⊆⋠⫏≰22100000)∷(⇈(↽≂⫏≰20112102⇴∐⫏≰10102221))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10191,"operation_count":11,"complexity_ratio":926.4545454545455,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1877,"base":3}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":8658,"base":3},"right_expr":{"type":"numeric_atoms","value":1856,"base":3}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2015,"base":3}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":6075,"base":3}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4763,"base":3},"right_expr":{"type":"numeric_atoms","value":2509,"base":3}}}}},"used_operators":["D3AQDKkPcf","oDCm7WA9JY","JxwMv5le6e","Eev2Q7dYIw","P3lXMJvFrc","ncHt1X6cMc","ivGwdmUAux","EBhcHTkKd8","SLLxy00UIr","u6S6b8DprG","HnzytWxmAO"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","oWn0xqSxBt","3Oe9XWJUTD","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1877","layer":4},{"info":"compute unary expreesion, input=1877, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-5772","layer":3},{"info":"number node, value=8658","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=8658, right_input=1856, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8658","layer":3},{"info":"compute binary expreesion, left_input=-5772, right_input=8658, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=6075","layer":4},{"info":"compute unary expreesion, input=6075, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":1},{"info":"number node, value=4763","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=2509, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2120112⊜)⨼⩣(⫏≰102212200⫲≸⪮⫏≰2112202)⋻⩜⩜(⫵↿⫏≰2202122)≁↽≥(⊆⋠⫏≰22100000)∷(⇈(↽≂⫏≰20112102⇴∐⫏≰10102221))=NaN","reverse_text":"NaN=(⫏≰2120112⊜)⨼⩣(⫏≰102212200⫲≸⪮⫏≰2112202)⋻⩜⩜(⫵↿⫏≰2202122)≁↽≥(⊆⋠⫏≰22100000)∷(⇈(↽≂⫏≰20112102⇴∐⫏≰10102221))","cot":[{"info":"⫏≰2120112⊜=⫏≰-21220210","layer":3},{"info":"⫏≰102212200⫲≸⪮⫏≰2112202=⫏≰102212200","layer":3},{"info":"⫏≰-21220210⨼⩣⫏≰102212200=NaN","layer":2},{"info":"⫵↿⫏≰2202122=⫏≰12002","layer":3},{"info":"⊆⋠⫏≰22100000=⫏≰0","layer":3},{"info":"⫏≰12002≁↽≥⫏≰0=⫏≰0","layer":2},{"info":"NaN⋻⩜⩜⫏≰0=NaN","layer":1},{"info":"⫏≰20112102⇴∐⫏≰10102221=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⇈NaN=⫏≰-121120","layer":1},{"info":"NaN∷⫏≰-121120=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"(⨈⪑($3927$⊝⪿⪼$5994$⊦⊿))∣(⩰$5037$⨭⪣$2476$)∇⊂⋱(($4093$∽$2628$)⪹)","expression":"(⨈⪑(⫏≰12101110⊝⪿⪼⫏≰22020000⊦⊿))∣(⩰⫏≰20220120⨭⪣⫏≰10101201)∇⊂⋱((⫏≰12121121∽⫏≰10121100)⪹)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":170,"operation_count":9,"complexity_ratio":18.88888888888889,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3927,"base":3},"right_expr":{"type":"numeric_atoms","value":5994,"base":3}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5037,"base":3},"right_expr":{"type":"numeric_atoms","value":2476,"base":3}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4093,"base":3},"right_expr":{"type":"numeric_atoms","value":2628,"base":3}}}}},"used_operators":["PPChnnnBFF","mp94q5OcYM","14qkJME0vr","3Oe9XWJUTD","nhYeJWJD5X","WkeUrDK8WX","kn8WO9XteQ","B3sABdIn96","y4ImoPnbV5"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","NTOWxs364D","QMFrweE19q"],"result":"⫏≰1012011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3927","layer":4},{"info":"number node, value=5994","layer":4},{"info":"compute binary expreesion, left_input=3927, right_input=5994, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=68837","layer":3},{"info":"compute unary expreesion, input=68837, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-206590","layer":2},{"info":"compute unary expreesion, input=-206590, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=5037","layer":4},{"info":"number node, value=2476","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=2476, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3758","layer":3},{"info":"compute unary expreesion, input=3758, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-4758","layer":2},{"info":"number node, value=4093","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=4093, right_input=2628, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-28171","layer":3},{"info":"compute unary expreesion, input=-28171, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=-50788","layer":2},{"info":"compute binary expreesion, left_input=-4758, right_input=-50788, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=101576","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=101576, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=868","layer":0}],"base":3,"result_base":3,"text":"(⨈⪑(⫏≰12101110⊝⪿⪼⫏≰22020000⊦⊿))∣(⩰⫏≰20220120⨭⪣⫏≰10101201)∇⊂⋱((⫏≰12121121∽⫏≰10121100)⪹)=⫏≰1012011","reverse_text":"⫏≰1012011=(⨈⪑(⫏≰12101110⊝⪿⪼⫏≰22020000⊦⊿))∣(⩰⫏≰20220120⨭⪣⫏≰10101201)∇⊂⋱((⫏≰12121121∽⫏≰10121100)⪹)","cot":[{"info":"⫏≰12101110⊝⪿⪼⫏≰22020000=⫏≰10111102112","layer":3},{"info":"⫏≰10111102112⊦⊿=⫏≰-101111101111","layer":2},{"info":"⨈⪑⫏≰-101111101111=⫏≰1012011","layer":1},{"info":"⫏≰20220120⨭⪣⫏≰10101201=⫏≰12011012","layer":3},{"info":"⩰⫏≰12011012=⫏≰-20112020","layer":2},{"info":"⫏≰12121121∽⫏≰10121100=⫏≰-1102122101","layer":3},{"info":"⫏≰-1102122101⪹=⫏≰-2120200001","layer":2},{"info":"⫏≰-20112020∇⊂⋱⫏≰-2120200001=⫏≰12011100002","layer":1},{"info":"⫏≰1012011∣⫏≰12011100002=⫏≰1012011","layer":0}]}
{"id":442,"expression_no_base_symbol":"((⇋↷$1833$)⪬(⫶⊄≣$1587$)⫌⩉⩟$4023$⇌⫙⪟$4396$∲⫓$2188$⋹⋡⊁$2797$)⪛(-($2230$⊦⊿)⨓($4661$↙$1058$))","expression":"((⇋↷⫏≰2111220)⪬(⫶⊄≣⫏≰2011210)⫌⩉⩟⫏≰12112000⇌⫙⪟⫏≰20000211∲⫓⫏≰10000001⋹⋡⊁⫏≰10211121)⪛(-(⫏≰10001121⊦⊿)⨓(⫏≰20101122↙⫏≰1110012))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":70351,"operation_count":12,"complexity_ratio":5862.583333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1833,"base":3}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1587,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4023,"base":3},"right_expr":{"type":"numeric_atoms","value":4396,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2188,"base":3},"right_expr":{"type":"numeric_atoms","value":2797,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2230,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4661,"base":3},"right_expr":{"type":"numeric_atoms","value":1058,"base":3}}}}},"used_operators":["uFcxV4UQCh","XIIwhv8d0m","Ez1Nq5fNfI","SWo3A1KBJH","wxb3vTeyAj","i8ToyICDmI","AFVx7xoS7T","As8RqfVLgs","t8gj7n24qd","3ViojmjbAp","14qkJME0vr","yyfyN0ffXY"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰-1212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1833","layer":4},{"info":"compute unary expreesion, input=1833, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=14664","layer":3},{"info":"number node, value=1587","layer":4},{"info":"compute unary expreesion, input=1587, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=45359497","layer":3},{"info":"compute binary expreesion, left_input=14664, right_input=45359497, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=4023","layer":4},{"info":"number node, value=4396","layer":4},{"info":"compute binary expreesion, left_input=4023, right_input=4396, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=2797","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=2797, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3547","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=3547, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=2230","layer":4},{"info":"compute unary expreesion, input=2230, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6769","layer":3},{"info":"number node, value=4661","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=4661, right_input=1058, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3174","layer":3},{"info":"compute binary expreesion, left_input=-6769, right_input=-3174, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=3171","layer":2},{"info":"compute unary expreesion, input=3171, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3171","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=-3171, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-50","layer":0}],"base":3,"result_base":3,"text":"((⇋↷⫏≰2111220)⪬(⫶⊄≣⫏≰2011210)⫌⩉⩟⫏≰12112000⇌⫙⪟⫏≰20000211∲⫓⫏≰10000001⋹⋡⊁⫏≰10211121)⪛(-(⫏≰10001121⊦⊿)⨓(⫏≰20101122↙⫏≰1110012))=⫏≰-1212","reverse_text":"⫏≰-1212=((⇋↷⫏≰2111220)⪬(⫶⊄≣⫏≰2011210)⫌⩉⩟⫏≰12112000⇌⫙⪟⫏≰20000211∲⫓⫏≰10000001⋹⋡⊁⫏≰10211121)⪛(-(⫏≰10001121⊦⊿)⨓(⫏≰20101122↙⫏≰1110012))","cot":[{"info":"⇋↷⫏≰2111220=⫏≰202010010","layer":3},{"info":"⫶⊄≣⫏≰2011210=⫏≰10011100111112101","layer":3},{"info":"⫏≰202010010⪬⫏≰10011100111112101=⫏≰1200201","layer":2},{"info":"⫏≰12112000⇌⫙⪟⫏≰20000211=⫏≰11012","layer":3},{"info":"⫏≰10000001⋹⋡⊁⫏≰10211121=⫏≰11212101","layer":3},{"info":"⫏≰11012∲⫓⫏≰11212101=⫏≰0","layer":2},{"info":"⫏≰1200201⫌⩉⩟⫏≰0=⫏≰-1212","layer":1},{"info":"⫏≰10001121⊦⊿=⫏≰-100021201","layer":3},{"info":"⫏≰20101122↙⫏≰1110012=⫏≰-11100120","layer":3},{"info":"⫏≰-100021201⨓⫏≰-11100120=⫏≰11100110","layer":2},{"info":"-⫏≰11100110=⫏≰-11100110","layer":1},{"info":"⫏≰-1212⪛⫏≰-11100110=⫏≰-1212","layer":0}]}
{"id":443,"expression_no_base_symbol":"((($3342$⫸⇳$2320$)⋣⋖$4322$≝⊿$1815$)↢((⇖⫷⫕$1129$)∵≐))⩦(($5459$⋥≓≎$2309$+$1464$⩌⋺$2147$)⨔⇊(⇖(⨝⨆$2325$)))","expression":"(((⫏≰11120210⫸⇳⫏≰10011221)⋣⋖⫏≰12221002≝⊿⫏≰2111020)↢((⇖⫷⫕⫏≰1112211)∵≐))⩦((⫏≰21111012⋥≓≎⫏≰10011112+⫏≰2000020⩌⋺⫏≰2221112)⨔⇊(⇖(⨝⨆⫏≰10012010)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":802,"operation_count":13,"complexity_ratio":61.69230769230769,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3342,"base":3},"right_expr":{"type":"numeric_atoms","value":2320,"base":3}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4322,"base":3},"right_expr":{"type":"numeric_atoms","value":1815,"base":3}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1129,"base":3}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5459,"base":3},"right_expr":{"type":"numeric_atoms","value":2309,"base":3}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1464,"base":3},"right_expr":{"type":"numeric_atoms","value":2147,"base":3}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2325,"base":3}}}}},"used_operators":["0kmYd0q39Y","WR6HLWljOP","J0M6qkBnIM","gx7XJ7hdpj","OKKcZfAt5B","59igzFyhWz","UHmRx3INFg","JclMnS0uGI","W4YGzv6Whe","Qy55tPpLXF","g7Hmc5v1ko","tfWHHpNKUN","bQ67fsrMVf"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","12rbrZMWeM","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2DQ55sFlQl","tifHPKVTfV"],"result":"⫏≰-22211122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3342","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=2320, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=4322","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=4322, right_input=1815, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8485","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8485, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=0","layer":2},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1876","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1876, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"number node, value=5459","layer":4},{"info":"number node, value=2309","layer":4},{"info":"compute binary expreesion, left_input=5459, right_input=2309, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-808","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=2147, 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=-3732","layer":3},{"info":"compute binary expreesion, left_input=-808, right_input=-3732, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4540","layer":2},{"info":"number node, value=2325","layer":4},{"info":"compute unary expreesion, input=2325, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2116","layer":3},{"info":"compute unary expreesion, input=2116, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-4540, right_input=160, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=160, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-6443","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰11120210⫸⇳⫏≰10011221)⋣⋖⫏≰12221002≝⊿⫏≰2111020)↢((⇖⫷⫕⫏≰1112211)∵≐))⩦((⫏≰21111012⋥≓≎⫏≰10011112+⫏≰2000020⩌⋺⫏≰2221112)⨔⇊(⇖(⨝⨆⫏≰10012010)))=⫏≰-22211122","reverse_text":"⫏≰-22211122=(((⫏≰11120210⫸⇳⫏≰10011221)⋣⋖⫏≰12221002≝⊿⫏≰2111020)↢((⇖⫷⫕⫏≰1112211)∵≐))⩦((⫏≰21111012⋥≓≎⫏≰10011112+⫏≰2000020⩌⋺⫏≰2221112)⨔⇊(⇖(⨝⨆⫏≰10012010)))","cot":[{"info":"⫏≰11120210⫸⇳⫏≰10011221=⫏≰0","layer":3},{"info":"⫏≰12221002≝⊿⫏≰2111020=⫏≰-102122021","layer":3},{"info":"⫏≰0⋣⋖⫏≰-102122021=⫏≰0","layer":2},{"info":"⇖⫷⫕⫏≰1112211=⫏≰10212112","layer":3},{"info":"⫏≰10212112∵≐=⫏≰2120111","layer":2},{"info":"⫏≰0↢⫏≰2120111=⫏≰-122221","layer":1},{"info":"⫏≰21111012⋥≓≎⫏≰10011112=⫏≰-1002221","layer":3},{"info":"⫏≰2000020⩌⋺⫏≰2221112=⫏≰-12010020","layer":3},{"info":"⫏≰-1002221+⫏≰-12010020=⫏≰-20020011","layer":2},{"info":"⨝⨆⫏≰10012010=⫏≰2220101","layer":3},{"info":"⇖⫏≰2220101=⫏≰12221","layer":2},{"info":"⫏≰-20020011⨔⇊⫏≰12221=⫏≰12221","layer":1},{"info":"⫏≰-122221⩦⫏≰12221=⫏≰-22211122","layer":0}]}
{"id":444,"expression_no_base_symbol":"↨⩢⫨((⇁⨣⪵(⫶⊄≣$6047$))⨫⇇↔($2797$⨵⪆$4883$)⫞⩸⩒($1876$⩷∴$3170$))","expression":"↨⩢⫨((⇁⨣⪵(⫶⊄≣⫏≰22021222))⨫⇇↔(⫏≰10211121⨵⪆⫏≰20200212)⫞⩸⩒(⫏≰2120111⩷∴⫏≰11100102))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6144,"operation_count":7,"complexity_ratio":877.7142857142857,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":6047,"base":3}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2797,"base":3},"right_expr":{"type":"numeric_atoms","value":4883,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1876,"base":3},"right_expr":{"type":"numeric_atoms","value":3170,"base":3}}}}},"used_operators":["Z5CJsN7DuW","LXhwmt4mBO","inkyxCbjAn","wxb3vTeyAj","XGcMNugi78","2DQ55sFlQl","9FxExcQeMw"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","B5M0gjZbta","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6047","layer":4},{"info":"compute unary expreesion, input=6047, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=658297297","layer":3},{"info":"compute unary expreesion, input=658297297, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2797","layer":4},{"info":"number node, value=4883","layer":4},{"info":"compute binary expreesion, left_input=2797, right_input=4883, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1876","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=3170, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2620","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2620, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":3,"result_base":3,"text":"↨⩢⫨((⇁⨣⪵(⫶⊄≣⫏≰22021222))⨫⇇↔(⫏≰10211121⨵⪆⫏≰20200212)⫞⩸⩒(⫏≰2120111⩷∴⫏≰11100102))=⫏≰0","reverse_text":"⫏≰0=↨⩢⫨((⇁⨣⪵(⫶⊄≣⫏≰22021222))⨫⇇↔(⫏≰10211121⨵⪆⫏≰20200212)⫞⩸⩒(⫏≰2120111⩷∴⫏≰11100102))","cot":[{"info":"⫶⊄≣⫏≰22021222=⫏≰1200212200222010101","layer":3},{"info":"⇁⨣⪵⫏≰1200212200222010101=NaN","layer":2},{"info":"⫏≰10211121⨵⪆⫏≰20200212=⫏≰12221","layer":3},{"info":"⫏≰2120111⩷∴⫏≰11100102=⫏≰-10121001","layer":3},{"info":"⫏≰12221⫞⩸⩒⫏≰-10121001=⫏≰12221","layer":2},{"info":"NaN⨫⇇↔⫏≰12221=⫏≰-201112","layer":1},{"info":"↨⩢⫨⫏≰-201112=⫏≰0","layer":0}]}
{"id":445,"expression_no_base_symbol":"↥(⨩∲⋌(∂⩏⊆$1032$⇴$1622$))","expression":"↥(⨩∲⋌(∂⩏⊆⫏≰1102020⇴⫏≰2020002))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":552,"operation_count":4,"complexity_ratio":138.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1032,"base":3},"right_expr":{"type":"numeric_atoms","value":1622,"base":3}}}}},"used_operators":["A8NUZmVepG","aSik1wnThz","8WDwsbhb0R","4JB6nKBMSY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","eLAdDNolq6","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⫏≰1102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1622, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=9050","layer":3},{"info":"compute unary expreesion, input=9050, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-27229","layer":2},{"info":"compute unary expreesion, input=-27229, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-26992","layer":1},{"info":"compute unary expreesion, input=-26992, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=38","layer":0}],"base":3,"result_base":3,"text":"↥(⨩∲⋌(∂⩏⊆⫏≰1102020⇴⫏≰2020002))=⫏≰1102","reverse_text":"⫏≰1102=↥(⨩∲⋌(∂⩏⊆⫏≰1102020⇴⫏≰2020002))","cot":[{"info":"⫏≰1102020⇴⫏≰2020002=⫏≰110102012","layer":3},{"info":"∂⩏⊆⫏≰110102012=⫏≰-1101100111","layer":2},{"info":"⨩∲⋌⫏≰-1101100111=⫏≰-1101000201","layer":1},{"info":"↥⫏≰-1101000201=⫏≰1102","layer":0}]}
{"id":446,"expression_no_base_symbol":"(($4085$⨳⩥⨓$3006$)⩁⩘($4560$⫩))⪎↠((⨈⫕$1235$)≓∲$5695$∥⊢⊲$1200$)∌(⫡⇟⇯(⩏⊷≩$1870$≃$1298$))","expression":"((⫏≰12121022⨳⩥⨓⫏≰11010100)⩁⩘(⫏≰20020220⫩))⪎↠((⨈⫕⫏≰1200202)≓∲⫏≰21210221∥⊢⊲⫏≰1122110)∌(⫡⇟⇯(⩏⊷≩⫏≰2120021≃⫏≰1210002))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5065,"operation_count":11,"complexity_ratio":460.45454545454544,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4085,"base":3},"right_expr":{"type":"numeric_atoms","value":3006,"base":3}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":4560,"base":3}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1235,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5695,"base":3},"right_expr":{"type":"numeric_atoms","value":1200,"base":3}}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1870,"base":3},"right_expr":{"type":"numeric_atoms","value":1298,"base":3}}}}},"used_operators":["8cLx32lpNA","3tVxb0NHM4","gub5Cegaqo","nCS4ZIUYfx","6aG7x05OhS","s1XTVnmDOJ","megm06wKyl","v1UQAVDJRr","qWUSsah53b","uOZ1tnYMDE","YbVcJGFEVW"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","EBcxylXtPf","rGHVDoGpnC","DZ8iAZOCBD","P8v4zCKN1o","23Mk6UjR3U","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⫏≰-10011101210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4085","layer":4},{"info":"number node, value=3006","layer":4},{"info":"compute binary expreesion, left_input=4085, right_input=3006, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1079","layer":3},{"info":"number node, value=4560","layer":4},{"info":"compute unary expreesion, input=4560, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1079, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=5695","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=5695, right_input=1200, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"number node, value=1870","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=1298, 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=-7520","layer":3},{"info":"compute unary expreesion, input=-7520, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=30694","layer":2},{"info":"compute unary expreesion, input=30694, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=62256","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=62256, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-62256","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12121022⨳⩥⨓⫏≰11010100)⩁⩘(⫏≰20020220⫩))⪎↠((⨈⫕⫏≰1200202)≓∲⫏≰21210221∥⊢⊲⫏≰1122110)∌(⫡⇟⇯(⩏⊷≩⫏≰2120021≃⫏≰1210002))=⫏≰-10011101210","reverse_text":"⫏≰-10011101210=((⫏≰12121022⨳⩥⨓⫏≰11010100)⩁⩘(⫏≰20020220⫩))⪎↠((⨈⫕⫏≰1200202)≓∲⫏≰21210221∥⊢⊲⫏≰1122110)∌(⫡⇟⇯(⩏⊷≩⫏≰2120021≃⫏≰1210002))","cot":[{"info":"⫏≰12121022⨳⩥⨓⫏≰11010100=⫏≰-1110222","layer":3},{"info":"⫏≰20020220⫩=NaN","layer":3},{"info":"⫏≰-1110222⩁⩘NaN=NaN","layer":2},{"info":"⨈⫕⫏≰1200202=⫏≰-210","layer":3},{"info":"⫏≰21210221∥⊢⊲⫏≰1122110=NaN","layer":3},{"info":"⫏≰-210≓∲NaN=NaN","layer":2},{"info":"NaN⪎↠NaN=NaN","layer":1},{"info":"⫏≰2120021≃⫏≰1210002=⫏≰-101022112","layer":3},{"info":"⩏⊷≩⫏≰-101022112=⫏≰1120002211","layer":2},{"info":"⫡⇟⇯⫏≰1120002211=⫏≰10011101210","layer":1},{"info":"NaN∌⫏≰10011101210=⫏≰-10011101210","layer":0}]}
{"id":447,"expression_no_base_symbol":"($2398$≹⇙⪍$5293$≎⊠⪸$5623$⨂≜$6886$⩨(+⊝⨔(⩒∊$1651$)))⊢","expression":"(⫏≰10021211≹⇙⪍⫏≰21021001≎⊠⪸⫏≰21201021⨂≜⫏≰100110001⩨(+⊝⨔(⩒∊⫏≰2021011)))⊢","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5742,"operation_count":7,"complexity_ratio":820.2857142857143,"tree":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2398,"base":3},"right_expr":{"type":"numeric_atoms","value":5293,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5623,"base":3},"right_expr":{"type":"numeric_atoms","value":6886,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1651,"base":3}}}}},"used_operators":["40aOVDgCDB","2DlMacCsIx","bJkvcejdHO","AHs5Up7iyr","k1SHOSEABc","DhbWaqg5eL","qazvmhNBbN"],"dependent_operators":["NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"⫏≰-2110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2398","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=2398, right_input=5293, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5623","layer":4},{"info":"number node, value=6886","layer":4},{"info":"compute binary expreesion, left_input=5623, right_input=6886, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1651","layer":4},{"info":"compute unary expreesion, input=1651, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2545","layer":3},{"info":"compute unary expreesion, input=2545, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1522, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-66","layer":1},{"info":"compute unary expreesion, input=-66, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-66","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10021211≹⇙⪍⫏≰21021001≎⊠⪸⫏≰21201021⨂≜⫏≰100110001⩨(+⊝⨔(⩒∊⫏≰2021011)))⊢=⫏≰-2110","reverse_text":"⫏≰-2110=(⫏≰10021211≹⇙⪍⫏≰21021001≎⊠⪸⫏≰21201021⨂≜⫏≰100110001⩨(+⊝⨔(⩒∊⫏≰2021011)))⊢","cot":[{"info":"⫏≰10021211≹⇙⪍⫏≰21021001=NaN","layer":3},{"info":"⫏≰21201021⨂≜⫏≰100110001=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"⩒∊⫏≰2021011=⫏≰10111021","layer":3},{"info":"+⊝⨔⫏≰10111021=⫏≰2002101","layer":2},{"info":"⫏≰2111⩨⫏≰2002101=⫏≰-2110","layer":1},{"info":"⫏≰-2110⊢=⫏≰-2110","layer":0}]}
{"id":448,"expression_no_base_symbol":"((⊖∈$2944$⋾⨃∁$1038$)⪉⨛(⊲⪭$2625$)⨽∌(∓$2968$))≦↸(($1554$⇴$6566$∠⫱$1085$⪢$1065$)⩖⊿(($2777$+$3769$)↡⊰⫅(⨦⪝$1124$)))","expression":"((⊖∈⫏≰11001001⋾⨃∁⫏≰1102110)⪉⨛(⊲⪭⫏≰10121020)⨽∌(∓⫏≰11001221))≦↸((⫏≰2010120⇴⫏≰100000012∠⫱⫏≰1111012⪢⫏≰1110110)⩖⊿((⫏≰10210212+⫏≰12011121)↡⊰⫅(⨦⪝⫏≰1112122)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":29392,"operation_count":14,"complexity_ratio":2099.4285714285716,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2944,"base":3},"right_expr":{"type":"numeric_atoms","value":1038,"base":3}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2625,"base":3}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2968,"base":3}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1554,"base":3},"right_expr":{"type":"numeric_atoms","value":6566,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1085,"base":3},"right_expr":{"type":"numeric_atoms","value":1065,"base":3}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2777,"base":3},"right_expr":{"type":"numeric_atoms","value":3769,"base":3}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1124,"base":3}}}}},"used_operators":["RygbFNSyEJ","EWw2JM7wp4","YFxL8Sc2Zy","212REbPD9h","9samAPKr6k","k7HXdKtiEU","OwUj7dcsQK","RZ5CV9rWsJ","QvoQhV0rrE","4JB6nKBMSY","dWAJyo7jo9","VCtxkLNOzz","W4YGzv6Whe","SUjycxNXIR"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","i8ToyICDmI","xUOZtlo3hN","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","sdazOOVcIp","NTOWxs364D","COABgblf1C","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2944","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=1038, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10761890","layer":3},{"info":"compute unary expreesion, input=10761890, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=215232206","layer":2},{"info":"number node, value=2625","layer":4},{"info":"compute unary expreesion, input=2625, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2799","layer":3},{"info":"number node, value=2968","layer":4},{"info":"compute unary expreesion, input=2968, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-49392","layer":3},{"info":"compute binary expreesion, left_input=-2799, right_input=-49392, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=215232206, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=645696833","layer":1},{"info":"number node, value=1554","layer":4},{"info":"number node, value=6566","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=6566, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=22070","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1065, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=22070, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=2777","layer":4},{"info":"number node, value=3769","layer":4},{"info":"compute binary expreesion, left_input=2777, right_input=3769, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6546","layer":3},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=6546, right_input=-1884, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=645696833, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊖∈⫏≰11001001⋾⨃∁⫏≰1102110)⪉⨛(⊲⪭⫏≰10121020)⨽∌(∓⫏≰11001221))≦↸((⫏≰2010120⇴⫏≰100000012∠⫱⫏≰1111012⪢⫏≰1110110)⩖⊿((⫏≰10210212+⫏≰12011121)↡⊰⫅(⨦⪝⫏≰1112122)))=NaN","reverse_text":"NaN=((⊖∈⫏≰11001001⋾⨃∁⫏≰1102110)⪉⨛(⊲⪭⫏≰10121020)⨽∌(∓⫏≰11001221))≦↸((⫏≰2010120⇴⫏≰100000012∠⫱⫏≰1111012⪢⫏≰1110110)⩖⊿((⫏≰10210212+⫏≰12011121)↡⊰⫅(⨦⪝⫏≰1112122)))","cot":[{"info":"⫏≰11001001⋾⨃∁⫏≰1102110=⫏≰202020202112112","layer":3},{"info":"⊖∈⫏≰202020202112112=⫏≰112222222221002012","layer":2},{"info":"⊲⪭⫏≰10121020=⫏≰-10211200","layer":3},{"info":"∓⫏≰11001221=⫏≰-2111202100","layer":3},{"info":"⫏≰-10211200⨽∌⫏≰-2111202100=⫏≰0","layer":2},{"info":"⫏≰112222222221002012⪉⨛⫏≰0=⫏≰1122222222210112112","layer":1},{"info":"⫏≰2010120⇴⫏≰100000012=⫏≰1010021102","layer":3},{"info":"⫏≰1111012⪢⫏≰1110110=NaN","layer":3},{"info":"⫏≰1010021102∠⫱NaN=NaN","layer":2},{"info":"⫏≰10210212+⫏≰12011121=⫏≰22222110","layer":3},{"info":"⨦⪝⫏≰1112122=⫏≰-2120210","layer":3},{"info":"⫏≰22222110↡⊰⫅⫏≰-2120210=NaN","layer":2},{"info":"NaN⩖⊿NaN=NaN","layer":1},{"info":"⫏≰1122222222210112112≦↸NaN=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"$5749$⨔⇊$1288$↓($1686$∖$2471$)⨎(⪁⇼(⪝⪂⫅$9073$))∽($1362$∙∹∝$2969$)⪬($1110$⫔⩽⩺$3918$)⨔⇊($5242$+⪬∐$6103$)⨐($4036$≒∊$6041$)","expression":"⫏≰21212221⨔⇊⫏≰1202201↓(⫏≰2022110∖⫏≰10101112)⨎(⪁⇼(⪝⪂⫅⫏≰110110001))∽(⫏≰1212110∙∹∝⫏≰11001222)⪬(⫏≰1112010⫔⩽⩺⫏≰12101010)⨔⇊(⫏≰21012011+⪬∐⫏≰22101001)⨐(⫏≰12112111≒∊⫏≰22021202)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1451,"operation_count":14,"complexity_ratio":103.64285714285714,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5749,"base":3},"right_expr":{"type":"numeric_atoms","value":1288,"base":3}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1686,"base":3},"right_expr":{"type":"numeric_atoms","value":2471,"base":3}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":9073,"base":3}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1362,"base":3},"right_expr":{"type":"numeric_atoms","value":2969,"base":3}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1110,"base":3},"right_expr":{"type":"numeric_atoms","value":3918,"base":3}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5242,"base":3},"right_expr":{"type":"numeric_atoms","value":6103,"base":3}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":4036,"base":3},"right_expr":{"type":"numeric_atoms","value":6041,"base":3}}}}},"used_operators":["y4ImoPnbV5","rJVOvQCfKK","Af076pWI7l","JclMnS0uGI","tXD093vOjl","ZNVVrZ94lY","XTarYq4gQB","Ez1Nq5fNfI","HmxsFra2vL","i9eR4S00cU","Noe24qw2ks","2GS7woTJqF","5KTvxBwnZo"],"dependent_operators":["NTOWxs364D","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","9HNa5Wba9A","8w2t5hMYqp","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⫏≰-11220002020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5749","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=5749, right_input=1288, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1288","layer":3},{"info":"number node, value=1686","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=2471, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1288, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":2},{"info":"number node, value=9073","layer":4},{"info":"compute unary expreesion, input=9073, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1333731","layer":3},{"info":"compute unary expreesion, input=-1333731, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=-242, right_input=422, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=422","layer":1},{"info":"number node, value=1362","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=2969, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1110","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=3918, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=5242","layer":4},{"info":"number node, value=6103","layer":4},{"info":"compute binary expreesion, left_input=5242, right_input=6103, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-15726","layer":3},{"info":"number node, value=4036","layer":4},{"info":"number node, value=6041","layer":4},{"info":"compute binary expreesion, left_input=4036, right_input=6041, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3552","layer":3},{"info":"compute binary expreesion, left_input=-15726, right_input=-3552, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=31452","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=31452, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=31452","layer":1},{"info":"compute binary expreesion, left_input=422, right_input=31452, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-96288","layer":0}],"base":3,"result_base":3,"text":"⫏≰21212221⨔⇊⫏≰1202201↓(⫏≰2022110∖⫏≰10101112)⨎(⪁⇼(⪝⪂⫅⫏≰110110001))∽(⫏≰1212110∙∹∝⫏≰11001222)⪬(⫏≰1112010⫔⩽⩺⫏≰12101010)⨔⇊(⫏≰21012011+⪬∐⫏≰22101001)⨐(⫏≰12112111≒∊⫏≰22021202)=⫏≰-11220002020","reverse_text":"⫏≰-11220002020=⫏≰21212221⨔⇊⫏≰1202201↓(⫏≰2022110∖⫏≰10101112)⨎(⪁⇼(⪝⪂⫅⫏≰110110001))∽(⫏≰1212110∙∹∝⫏≰11001222)⪬(⫏≰1112010⫔⩽⩺⫏≰12101010)⨔⇊(⫏≰21012011+⪬∐⫏≰22101001)⨐(⫏≰12112111≒∊⫏≰22021202)","cot":[{"info":"⫏≰21212221⨔⇊⫏≰1202201=⫏≰1202201","layer":3},{"info":"⫏≰2022110∖⫏≰10101112=⫏≰0","layer":3},{"info":"⫏≰1202201↓⫏≰0=⫏≰-22222","layer":2},{"info":"⪝⪂⫅⫏≰110110001=⫏≰-2111202112110","layer":3},{"info":"⪁⇼⫏≰-2111202112110=⫏≰120122","layer":2},{"info":"⫏≰-22222⨎⫏≰120122=⫏≰120122","layer":1},{"info":"⫏≰1212110∙∹∝⫏≰11001222=⫏≰0","layer":3},{"info":"⫏≰1112010⫔⩽⩺⫏≰12101010=NaN","layer":3},{"info":"⫏≰0⪬NaN=⫏≰1200201","layer":2},{"info":"⫏≰21012011+⪬∐⫏≰22101001=⫏≰-210120110","layer":3},{"info":"⫏≰12112111≒∊⫏≰22021202=⫏≰-11212120","layer":3},{"info":"⫏≰-210120110⨐⫏≰-11212120=⫏≰1121010220","layer":2},{"info":"⫏≰1200201⨔⇊⫏≰1121010220=⫏≰1121010220","layer":1},{"info":"⫏≰120122∽⫏≰1121010220=⫏≰-11220002020","layer":0}]}
{"id":450,"expression_no_base_symbol":"((($4802$⇯⋐)⨵⪆$1126$≎⊠⪸$6015$)%(⪲⇎($3582$⫑)))⨳⩥⨓((⪨⨬$3571$)∓⋝($2902$⩷∴$3903$))⫣⪄⊒((⊽$6211$)⇍⊗($4348$⫩⊇))","expression":"(((⫏≰20120212⇯⋐)⨵⪆⫏≰1112201≎⊠⪸⫏≰22020210)%(⪲⇎(⫏≰11220200⫑)))⨳⩥⨓((⪨⨬⫏≰11220021)∓⋝(⫏≰10222111⩷∴⫏≰12100120))⫣⪄⊒((⊽⫏≰22112001)⇍⊗(⫏≰12222001⫩⊇))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1031,"operation_count":14,"complexity_ratio":73.64285714285714,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":4802,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1126,"base":3},"right_expr":{"type":"numeric_atoms","value":6015,"base":3}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":3582,"base":3}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":3571,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2902,"base":3},"right_expr":{"type":"numeric_atoms","value":3903,"base":3}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":6211,"base":3}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4348,"base":3}}}}},"used_operators":["nCS4ZIUYfx","k8jYdgA6NY","2DQ55sFlQl","LkLIoiE525","bJkvcejdHO","XPYlsWDdGa","CgIo77xlM2","RabNbG55vr","PoHhknlbAi","5obUd6DV38","9FxExcQeMw","5uvYHDjeKN","QxG7OkqoLX","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4802","layer":4},{"info":"compute unary expreesion, input=4802, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=15284","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=6015","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=6015, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=291161","layer":3},{"info":"compute binary expreesion, left_input=15284, right_input=291161, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3582","layer":4},{"info":"compute unary expreesion, input=3582, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute unary expreesion, input=3979, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7958","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=7958, op_id = k8jYdgA6NY binary_op_definition= 'None', output=160","layer":1},{"info":"number node, value=3571","layer":4},{"info":"compute unary expreesion, input=3571, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=2902","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=3903, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2034","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-2034, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=6211","layer":4},{"info":"compute unary expreesion, input=6211, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=13944","layer":3},{"info":"number node, value=4348","layer":4},{"info":"compute unary expreesion, input=4348, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4306","layer":3},{"info":"compute binary expreesion, left_input=13944, right_input=-4306, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-244, 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":1},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰20120212⇯⋐)⨵⪆⫏≰1112201≎⊠⪸⫏≰22020210)%(⪲⇎(⫏≰11220200⫑)))⨳⩥⨓((⪨⨬⫏≰11220021)∓⋝(⫏≰10222111⩷∴⫏≰12100120))⫣⪄⊒((⊽⫏≰22112001)⇍⊗(⫏≰12222001⫩⊇))=⫏≰0","reverse_text":"⫏≰0=(((⫏≰20120212⇯⋐)⨵⪆⫏≰1112201≎⊠⪸⫏≰22020210)%(⪲⇎(⫏≰11220200⫑)))⨳⩥⨓((⪨⨬⫏≰11220021)∓⋝(⫏≰10222111⩷∴⫏≰12100120))⫣⪄⊒((⊽⫏≰22112001)⇍⊗(⫏≰12222001⫩⊇))","cot":[{"info":"⫏≰20120212⇯⋐=⫏≰202222002","layer":3},{"info":"⫏≰1112201≎⊠⪸⫏≰22020210=⫏≰112210101202","layer":3},{"info":"⫏≰202222002⨵⪆⫏≰112210101202=⫏≰12221","layer":2},{"info":"⫏≰11220200⫑=⫏≰12110101","layer":3},{"info":"⪲⇎⫏≰12110101=⫏≰101220202","layer":2},{"info":"⫏≰12221%⫏≰101220202=⫏≰12221","layer":1},{"info":"⪨⨬⫏≰11220021=⫏≰-201111","layer":3},{"info":"⫏≰10222111⩷∴⫏≰12100120=⫏≰-2210100","layer":3},{"info":"⫏≰-201111∓⋝⫏≰-2210100=⫏≰2111","layer":2},{"info":"⊽⫏≰22112001=⫏≰201010110","layer":3},{"info":"⫏≰12222001⫩⊇=⫏≰-12220111","layer":3},{"info":"⫏≰201010110⇍⊗⫏≰-12220111=⫏≰-100001","layer":2},{"info":"⫏≰2111⫣⪄⊒⫏≰-100001=⫏≰12221","layer":1},{"info":"⫏≰12221⨳⩥⨓⫏≰12221=⫏≰0","layer":0}]}
{"id":451,"expression_no_base_symbol":"($2393$⩁⩘$2643$)↤⩊($5554$⫒⫫$2674$)⨑⩅≇($6338$⊲⩕⊾$1561$⪉⨛$8424$⊲⩕⊾$3868$)⋝⋈⪟(($3142$⩵∡$1486$↪⪝)⋻⩜⩜(⨂⪏⇭$2558$)⪬($3081$⋆⋳))","expression":"(⫏≰10021122⩁⩘⫏≰10121220)↤⩊(⫏≰21121201⫒⫫⫏≰10200001)⨑⩅≇(⫏≰22200202⊲⩕⊾⫏≰2010211⪉⨛⫏≰102120000⊲⩕⊾⫏≰12022021)⋝⋈⪟((⫏≰11022101⩵∡⫏≰2001001↪⪝)⋻⩜⩜(⨂⪏⇭⫏≰10111202)⪬(⫏≰11020010⋆⋳))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1784,"operation_count":14,"complexity_ratio":127.42857142857143,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2393,"base":3},"right_expr":{"type":"numeric_atoms","value":2643,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5554,"base":3},"right_expr":{"type":"numeric_atoms","value":2674,"base":3}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":6338,"base":3},"right_expr":{"type":"numeric_atoms","value":1561,"base":3}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":8424,"base":3},"right_expr":{"type":"numeric_atoms","value":3868,"base":3}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3142,"base":3},"right_expr":{"type":"numeric_atoms","value":1486,"base":3}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2558,"base":3}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":3081,"base":3}}}}},"used_operators":["2DDjHMKMc0","h92wMvzauj","13rbtpv6ld","gub5Cegaqo","6Ko8hGgeMq","EWw2JM7wp4","DmTXOeWf9t","oDCm7WA9JY","l07mrZUIn9","Y7wcNGrDQJ","Ez1Nq5fNfI","AYdpE9sXAk","6MpZysEj17"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DpFCA1CohY","IWmyXbctLI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9HNa5Wba9A","2DDjHMKMc0","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"⫏≰1021122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2393","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=2643, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11520","layer":3},{"info":"number node, value=5554","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=5554, right_input=2674, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11520, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=6338","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=6338, right_input=1561, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-113648","layer":3},{"info":"number node, value=8424","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=8424, right_input=3868, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-170094","layer":3},{"info":"compute binary expreesion, left_input=-113648, right_input=-170094, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=169553","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=169553, 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":1},{"info":"number node, value=3142","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=1486, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4919","layer":3},{"info":"compute unary expreesion, input=-4919, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-300954258","layer":2},{"info":"number node, value=2558","layer":4},{"info":"compute unary expreesion, input=2558, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=6695","layer":3},{"info":"number node, value=3081","layer":4},{"info":"compute unary expreesion, input=3081, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-6194","layer":3},{"info":"compute binary expreesion, left_input=6695, right_input=-6194, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-300954258, right_input=1234, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1203818956","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=1203818956, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=935","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10021122⩁⩘⫏≰10121220)↤⩊(⫏≰21121201⫒⫫⫏≰10200001)⨑⩅≇(⫏≰22200202⊲⩕⊾⫏≰2010211⪉⨛⫏≰102120000⊲⩕⊾⫏≰12022021)⋝⋈⪟((⫏≰11022101⩵∡⫏≰2001001↪⪝)⋻⩜⩜(⨂⪏⇭⫏≰10111202)⪬(⫏≰11020010⋆⋳))=⫏≰1021122","reverse_text":"⫏≰1021122=(⫏≰10021122⩁⩘⫏≰10121220)↤⩊(⫏≰21121201⫒⫫⫏≰10200001)⨑⩅≇(⫏≰22200202⊲⩕⊾⫏≰2010211⪉⨛⫏≰102120000⊲⩕⊾⫏≰12022021)⋝⋈⪟((⫏≰11022101⩵∡⫏≰2001001↪⪝)⋻⩜⩜(⨂⪏⇭⫏≰10111202)⪬(⫏≰11020010⋆⋳))","cot":[{"info":"⫏≰10021122⩁⩘⫏≰10121220=⫏≰120210200","layer":3},{"info":"⫏≰21121201⫒⫫⫏≰10200001=NaN","layer":3},{"info":"⫏≰120210200↤⩊NaN=NaN","layer":2},{"info":"⫏≰22200202⊲⩕⊾⫏≰2010211=⫏≰-12202220012","layer":3},{"info":"⫏≰102120000⊲⩕⊾⫏≰12022021=⫏≰-22122022210","layer":3},{"info":"⫏≰-12202220012⪉⨛⫏≰-22122022210=⫏≰22121120202","layer":2},{"info":"NaN⨑⩅≇⫏≰22121120202=⫏≰1021122","layer":1},{"info":"⫏≰11022101⩵∡⫏≰2001001=⫏≰-20202012","layer":3},{"info":"⫏≰-20202012↪⪝=⫏≰-202222022001122000","layer":2},{"info":"⨂⪏⇭⫏≰10111202=⫏≰100011222","layer":3},{"info":"⫏≰11020010⋆⋳=⫏≰-22111102","layer":3},{"info":"⫏≰100011222⪬⫏≰-22111102=⫏≰1200201","layer":2},{"info":"⫏≰-202222022001122000⋻⩜⩜⫏≰1200201=⫏≰10002220012100011021","layer":1},{"info":"⫏≰1021122⋝⋈⪟⫏≰10002220012100011021=⫏≰1021122","layer":0}]}
{"id":452,"expression_no_base_symbol":"(($1021$⋛$2201$≚⋢)⇼⇔∾($1877$⩌⋺$5043$⫡⨏$7401$⊨$2092$))⨌↪","expression":"((⫏≰1101211⋛⫏≰10000112≚⋢)⇼⇔∾(⫏≰2120112⩌⋺⫏≰20220210⫡⨏⫏≰101011010⊨⫏≰2212111))⨌↪","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":395,"operation_count":7,"complexity_ratio":56.42857142857143,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":2201,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1877,"base":3},"right_expr":{"type":"numeric_atoms","value":5043,"base":3}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":7401,"base":3},"right_expr":{"type":"numeric_atoms","value":2092,"base":3}}}}},"used_operators":["cWQsF5MvuD","tifHPKVTfV","MahUMFw56D","YbUVn0Rbpy","QMFrweE19q","g7Hmc5v1ko","vg4gO5BX6G"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⫏≰-122210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=2201, 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=-123003","layer":3},{"info":"compute unary expreesion, input=-123003, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=1877","layer":4},{"info":"number node, value=5043","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=5043, 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=-7041","layer":3},{"info":"number node, value=7401","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=7401, right_input=2092, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=30635","layer":3},{"info":"compute binary expreesion, left_input=-7041, right_input=30635, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26848","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=26848, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=26937","layer":1},{"info":"compute unary expreesion, input=26937, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1101211⋛⫏≰10000112≚⋢)⇼⇔∾(⫏≰2120112⩌⋺⫏≰20220210⫡⨏⫏≰101011010⊨⫏≰2212111))⨌↪=⫏≰-122210","reverse_text":"⫏≰-122210=((⫏≰1101211⋛⫏≰10000112≚⋢)⇼⇔∾(⫏≰2120112⩌⋺⫏≰20220210⫡⨏⫏≰101011010⊨⫏≰2212111))⨌↪","cot":[{"info":"⫏≰1101211⋛⫏≰10000112=⫏≰-20020201200","layer":3},{"info":"⫏≰-20020201200≚⋢=⫏≰-10022","layer":2},{"info":"⫏≰2120112⩌⋺⫏≰20220210=⫏≰-100122210","layer":3},{"info":"⫏≰101011010⊨⫏≰2212111=⫏≰1120000122","layer":3},{"info":"⫏≰-100122210⫡⨏⫏≰1120000122=⫏≰1100211101","layer":2},{"info":"⫏≰-10022⇼⇔∾⫏≰1100211101=⫏≰1100221200","layer":1},{"info":"⫏≰1100221200⨌↪=⫏≰-122210","layer":0}]}
{"id":453,"expression_no_base_symbol":"(↨⩢⫨$1982$)∌↝(+⊝⨔$6496$)∪⫐(($3208$⊓⋫)⇽⩪)⫚↹⊑($1660$⪄$3372$)⫞⩸⩒($2454$⊭↱$3769$)⩁⩘(($3270$⩒⫫$6784$)⊝⪿⪼$5349$⪢$1902$)","expression":"(↨⩢⫨⫏≰2201102)∌↝(+⊝⨔⫏≰22220121)∪⫐((⫏≰11101211⊓⋫)⇽⩪)⫚↹⊑(⫏≰2021111⪄⫏≰11121220)⫞⩸⩒(⫏≰10100220⊭↱⫏≰12011121)⩁⩘((⫏≰11111010⩒⫫⫏≰100022021)⊝⪿⪼⫏≰21100010⪢⫏≰2121110)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5530,"operation_count":14,"complexity_ratio":395.0,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1982,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6496,"base":3}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":3208,"base":3}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1660,"base":3},"right_expr":{"type":"numeric_atoms","value":3372,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2454,"base":3},"right_expr":{"type":"numeric_atoms","value":3769,"base":3}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3270,"base":3},"right_expr":{"type":"numeric_atoms","value":6784,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5349,"base":3},"right_expr":{"type":"numeric_atoms","value":1902,"base":3}}}}},"used_operators":["dfKe02y8D2","7YooWSwCyH","9Isq31Ruls","Z5CJsN7DuW","DhbWaqg5eL","FonBHBYJbU","IqGBaFP0uj","gub5Cegaqo","XGcMNugi78","SUmda5xLS4","COABgblf1C","3Oe9XWJUTD","KFSx94NKJn","dWAJyo7jo9"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY"],"result":"⫏≰-121120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1982","layer":4},{"info":"compute unary expreesion, input=1982, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=6496","layer":4},{"info":"compute unary expreesion, input=6496, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-4566","layer":2},{"info":"number node, value=3208","layer":4},{"info":"compute unary expreesion, input=3208, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3336","layer":3},{"info":"compute unary expreesion, input=-3336, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=6162","layer":2},{"info":"compute binary expreesion, left_input=-4566, right_input=6162, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-4566","layer":1},{"info":"number node, value=1660","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=3372, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-255257","layer":3},{"info":"number node, value=2454","layer":4},{"info":"number node, value=3769","layer":4},{"info":"compute binary expreesion, left_input=2454, right_input=3769, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2635","layer":3},{"info":"compute binary expreesion, left_input=-255257, right_input=2635, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-255257","layer":2},{"info":"number node, value=3270","layer":4},{"info":"number node, value=6784","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=6784, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2968","layer":3},{"info":"number node, value=5349","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=5349, right_input=1902, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2968, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=54452","layer":2},{"info":"compute binary expreesion, left_input=-255257, right_input=54452, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=218756","layer":1},{"info":"compute binary expreesion, left_input=-4566, right_input=218756, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":3,"result_base":3,"text":"(↨⩢⫨⫏≰2201102)∌↝(+⊝⨔⫏≰22220121)∪⫐((⫏≰11101211⊓⋫)⇽⩪)⫚↹⊑(⫏≰2021111⪄⫏≰11121220)⫞⩸⩒(⫏≰10100220⊭↱⫏≰12011121)⩁⩘((⫏≰11111010⩒⫫⫏≰100022021)⊝⪿⪼⫏≰21100010⪢⫏≰2121110)=⫏≰-121120","reverse_text":"⫏≰-121120=(↨⩢⫨⫏≰2201102)∌↝(+⊝⨔⫏≰22220121)∪⫐((⫏≰11101211⊓⋫)⇽⩪)⫚↹⊑(⫏≰2021111⪄⫏≰11121220)⫞⩸⩒(⫏≰10100220⊭↱⫏≰12011121)⩁⩘((⫏≰11111010⩒⫫⫏≰100022021)⊝⪿⪼⫏≰21100010⪢⫏≰2121110)","cot":[{"info":"↨⩢⫨⫏≰2201102=⫏≰0","layer":3},{"info":"+⊝⨔⫏≰22220121=⫏≰2002101","layer":3},{"info":"⫏≰0∌↝⫏≰2002101=⫏≰-20021010","layer":2},{"info":"⫏≰11101211⊓⋫=⫏≰-11120120","layer":3},{"info":"⫏≰-11120120⇽⩪=⫏≰22110020","layer":2},{"info":"⫏≰-20021010∪⫐⫏≰22110020=⫏≰-20021010","layer":1},{"info":"⫏≰2021111⪄⫏≰11121220=⫏≰-110222010222","layer":3},{"info":"⫏≰10100220⊭↱⫏≰12011121=⫏≰10121121","layer":3},{"info":"⫏≰-110222010222⫞⩸⩒⫏≰10121121=⫏≰-110222010222","layer":2},{"info":"⫏≰11111010⩒⫫⫏≰100022021=⫏≰11001221","layer":3},{"info":"⫏≰21100010⪢⫏≰2121110=NaN","layer":3},{"info":"⫏≰11001221⊝⪿⪼NaN=⫏≰2202200202","layer":2},{"info":"⫏≰-110222010222⩁⩘⫏≰2202200202=⫏≰102010002002","layer":1},{"info":"⫏≰-20021010⫚↹⊑⫏≰102010002002=⫏≰-121120","layer":0}]}
{"id":454,"expression_no_base_symbol":"⩦⊞(⨙⪌(($2749$⨫⇇↔$3278$)⊮⊟↴($3509$⪟⇏$3892$)))","expression":"⩦⊞(⨙⪌((⫏≰10202211⨫⇇↔⫏≰11111102)⊮⊟↴(⫏≰11210222⪟⇏⫏≰12100011)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":993,"operation_count":5,"complexity_ratio":198.6,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2749,"base":3},"right_expr":{"type":"numeric_atoms","value":3278,"base":3}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3509,"base":3},"right_expr":{"type":"numeric_atoms","value":3892,"base":3}}}}},"used_operators":["u7fv1HBiaC","vEGLkm4Z2k","QDVgd2eftb","LXhwmt4mBO","GODebY97qR"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⫏≰-211001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2749","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=3278, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3509","layer":4},{"info":"number node, value=3892","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=3892, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-1, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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 = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-595","layer":0}],"base":3,"result_base":3,"text":"⩦⊞(⨙⪌((⫏≰10202211⨫⇇↔⫏≰11111102)⊮⊟↴(⫏≰11210222⪟⇏⫏≰12100011)))=⫏≰-211001","reverse_text":"⫏≰-211001=⩦⊞(⨙⪌((⫏≰10202211⨫⇇↔⫏≰11111102)⊮⊟↴(⫏≰11210222⪟⇏⫏≰12100011)))","cot":[{"info":"⫏≰10202211⨫⇇↔⫏≰11111102=⫏≰-201112","layer":3},{"info":"⫏≰11210222⪟⇏⫏≰12100011=⫏≰-1","layer":3},{"info":"⫏≰-201112⊮⊟↴⫏≰-1=⫏≰0","layer":2},{"info":"⨙⪌⫏≰0=⫏≰1012011","layer":1},{"info":"⩦⊞⫏≰1012011=⫏≰-211001","layer":0}]}
{"id":455,"expression_no_base_symbol":"($2105$⇆⨓≜)⫸⊐$5165$⩒⫫$2129$↱($1372$⨔≚≋$1822$)⪎↠($1263$⫃⨇$1244$)⩹(($6913$↓$9550$⋝⋈⪟($2398$⩘⨬⇊))⫠)","expression":"(⫏≰2212222⇆⨓≜)⫸⊐⫏≰21002022⩒⫫⫏≰2220212↱(⫏≰1212211⨔≚≋⫏≰2111111)⪎↠(⫏≰1201210⫃⨇⫏≰1201002)⩹((⫏≰100111001↓⫏≰111002201⋝⋈⪟(⫏≰10021211⩘⨬⇊))⫠)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":134993,"operation_count":12,"complexity_ratio":11249.416666666666,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":2105,"base":3}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5165,"base":3},"right_expr":{"type":"numeric_atoms","value":2129,"base":3}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1372,"base":3},"right_expr":{"type":"numeric_atoms","value":1822,"base":3}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1263,"base":3},"right_expr":{"type":"numeric_atoms","value":1244,"base":3}}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6913,"base":3},"right_expr":{"type":"numeric_atoms","value":9550,"base":3}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":2398,"base":3}}}}},"used_operators":["2Wsdkap16l","SR5kFfdi6N","mqXw5SEYmG","KvvgdUaMHJ","KFSx94NKJn","3tVxb0NHM4","Z57zeUYC9z","09Ly4LVMIf","6SnOT2rOjz","2DDjHMKMc0","Af076pWI7l","XXmTpEpWTW"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Uaa54Peajs","KYD54nUTWz","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"⫏≰-2","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2105","layer":4},{"info":"compute unary expreesion, input=2105, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=5165","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=5165, right_input=2129, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4863","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4863, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=1372","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=1822, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1263","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1244, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5008","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-5008, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, 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=16630","layer":1},{"info":"number node, value=6913","layer":4},{"info":"number node, value=9550","layer":4},{"info":"compute binary expreesion, left_input=6913, right_input=9550, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2398","layer":4},{"info":"compute unary expreesion, input=2398, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=16630, right_input=0, 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=-2","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2212222⇆⨓≜)⫸⊐⫏≰21002022⩒⫫⫏≰2220212↱(⫏≰1212211⨔≚≋⫏≰2111111)⪎↠(⫏≰1201210⫃⨇⫏≰1201002)⩹((⫏≰100111001↓⫏≰111002201⋝⋈⪟(⫏≰10021211⩘⨬⇊))⫠)=⫏≰-2","reverse_text":"⫏≰-2=(⫏≰2212222⇆⨓≜)⫸⊐⫏≰21002022⩒⫫⫏≰2220212↱(⫏≰1212211⨔≚≋⫏≰2111111)⪎↠(⫏≰1201210⫃⨇⫏≰1201002)⩹((⫏≰100111001↓⫏≰111002201⋝⋈⪟(⫏≰10021211⩘⨬⇊))⫠)","cot":[{"info":"⫏≰2212222⇆⨓≜=NaN","layer":3},{"info":"⫏≰21002022⩒⫫⫏≰2220212=⫏≰20200010","layer":3},{"info":"NaN⫸⊐⫏≰20200010=NaN","layer":2},{"info":"⫏≰1212211⨔≚≋⫏≰2111111=⫏≰111112122","layer":3},{"info":"⫏≰1201210⫃⨇⫏≰1201002=⫏≰-20212111","layer":3},{"info":"⫏≰111112122⪎↠⫏≰-20212111=⫏≰12221","layer":2},{"info":"NaN↱⫏≰12221=⫏≰211210221","layer":1},{"info":"⫏≰100111001↓⫏≰111002201=⫏≰-11222","layer":3},{"info":"⫏≰10021211⩘⨬⇊=NaN","layer":3},{"info":"⫏≰-11222⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⫠=⫏≰0","layer":1},{"info":"⫏≰211210221⩹⫏≰0=⫏≰-2","layer":0}]}
{"id":456,"expression_no_base_symbol":"⨵≀≌(⪭⩑⪱($5177$⫥∨⫟$1079$)≚⊃≕($3803$≓∲$1053$))","expression":"⨵≀≌(⪭⩑⪱(⫏≰21002202⫥∨⫟⫏≰1110222)≚⊃≕(⫏≰12012212≓∲⫏≰1110000))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8242,"operation_count":5,"complexity_ratio":1648.4,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5177,"base":3},"right_expr":{"type":"numeric_atoms","value":1079,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3803,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}}}}},"used_operators":["srAu1WTS94","SIgE0bArFf","Bmrmz2XGnR","KYD54nUTWz","s1XTVnmDOJ"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⫏≰-1201222012210000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5177","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=5177, right_input=1079, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3803","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3803, right_input=1053, 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=38813","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=38813, 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":2},{"info":"compute unary expreesion, input=67, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute unary expreesion, input=8320752, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-24962256","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌(⪭⩑⪱(⫏≰21002202⫥∨⫟⫏≰1110222)≚⊃≕(⫏≰12012212≓∲⫏≰1110000))=⫏≰-1201222012210000","reverse_text":"⫏≰-1201222012210000=⨵≀≌(⪭⩑⪱(⫏≰21002202⫥∨⫟⫏≰1110222)≚⊃≕(⫏≰12012212≓∲⫏≰1110000))","cot":[{"info":"⫏≰21002202⫥∨⫟⫏≰1110222=NaN","layer":3},{"info":"⫏≰12012212≓∲⫏≰1110000=⫏≰1222020112","layer":3},{"info":"NaN≚⊃≕⫏≰1222020112=⫏≰2111","layer":2},{"info":"⪭⩑⪱⫏≰2111=⫏≰120122201221000","layer":1},{"info":"⨵≀≌⫏≰120122201221000=⫏≰-1201222012210000","layer":0}]}
{"id":457,"expression_no_base_symbol":"⊖∈(⩏⊷≩(⫓⪴$1084$))↳∿⪆(($3679$⋣⋖$2713$)⪢$1010$⫯⪬∳$2582$)","expression":"⊖∈(⩏⊷≩(⫓⪴⫏≰1111011))↳∿⪆((⫏≰12001021⋣⋖⫏≰10201111)⪢⫏≰1101102⫯⪬∳⫏≰10112122)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12429,"operation_count":7,"complexity_ratio":1775.5714285714287,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1084,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3679,"base":3},"right_expr":{"type":"numeric_atoms","value":2713,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1010,"base":3},"right_expr":{"type":"numeric_atoms","value":2582,"base":3}}}}},"used_operators":["YFxL8Sc2Zy","Cw4SuJJGHO","uOZ1tnYMDE","eLxqMNBOBk","dWAJyo7jo9","J0M6qkBnIM","d7ASUq0ydm"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","9HNa5Wba9A","k8jYdgA6NY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1084","layer":4},{"info":"compute unary expreesion, input=1084, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1175056","layer":3},{"info":"compute unary expreesion, input=1175056, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2349811","layer":2},{"info":"number node, value=3679","layer":4},{"info":"number node, value=2713","layer":4},{"info":"compute binary expreesion, left_input=3679, right_input=2713, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3679","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2582, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2501","layer":3},{"info":"compute binary expreesion, left_input=3679, right_input=2501, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2349811, right_input=nan, 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 = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊖∈(⩏⊷≩(⫓⪴⫏≰1111011))↳∿⪆((⫏≰12001021⋣⋖⫏≰10201111)⪢⫏≰1101102⫯⪬∳⫏≰10112122)=NaN","reverse_text":"NaN=⊖∈(⩏⊷≩(⫓⪴⫏≰1111011))↳∿⪆((⫏≰12001021⋣⋖⫏≰10201111)⪢⫏≰1101102⫯⪬∳⫏≰10112122)","cot":[{"info":"⫓⪴⫏≰1111011=⫏≰2012200212121","layer":3},{"info":"⩏⊷≩⫏≰2012200212121=⫏≰11102101100001","layer":2},{"info":"⫏≰12001021⋣⋖⫏≰10201111=⫏≰12001021","layer":3},{"info":"⫏≰1101102⫯⪬∳⫏≰10112122=⫏≰10102122","layer":3},{"info":"⫏≰12001021⪢⫏≰10102122=NaN","layer":2},{"info":"⫏≰11102101100001↳∿⪆NaN=NaN","layer":1},{"info":"⊖∈NaN=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"(($4857$∙∹∝$4125$)⫗⊷⫓($2297$∓⋝$3705$)⩹$1408$∓⋝$1139$⊬⨰$1411$↤⩊$4871$)⊠≄⫣","expression":"((⫏≰20122220∙∹∝⫏≰12122210)⫗⊷⫓(⫏≰10011002∓⋝⫏≰12002020)⩹⫏≰1221011∓⋝⫏≰1120012⊬⨰⫏≰1221021↤⩊⫏≰20200102)⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":51449,"operation_count":8,"complexity_ratio":6431.125,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4857,"base":3},"right_expr":{"type":"numeric_atoms","value":4125,"base":3}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2297,"base":3},"right_expr":{"type":"numeric_atoms","value":3705,"base":3}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1408,"base":3},"right_expr":{"type":"numeric_atoms","value":1139,"base":3}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1411,"base":3},"right_expr":{"type":"numeric_atoms","value":4871,"base":3}}}}},"used_operators":["DIvbN7qnHd","2Wsdkap16l","zashukvMKz","HmxsFra2vL","PoHhknlbAi","s3Fd5m9Dh2","13rbtpv6ld"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4857","layer":4},{"info":"number node, value=4125","layer":4},{"info":"compute binary expreesion, left_input=4857, right_input=4125, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2297","layer":4},{"info":"number node, value=3705","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=3705, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1408","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=1139, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1411","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=4871, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, 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=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20122220∙∹∝⫏≰12122210)⫗⊷⫓(⫏≰10011002∓⋝⫏≰12002020)⩹⫏≰1221011∓⋝⫏≰1120012⊬⨰⫏≰1221021↤⩊⫏≰20200102)⊠≄⫣=NaN","reverse_text":"NaN=((⫏≰20122220∙∹∝⫏≰12122210)⫗⊷⫓(⫏≰10011002∓⋝⫏≰12002020)⩹⫏≰1221011∓⋝⫏≰1120012⊬⨰⫏≰1221021↤⩊⫏≰20200102)⊠≄⫣","cot":[{"info":"⫏≰20122220∙∹∝⫏≰12122210=⫏≰0","layer":3},{"info":"⫏≰10011002∓⋝⫏≰12002020=⫏≰2111","layer":3},{"info":"⫏≰0⫗⊷⫓⫏≰2111=⫏≰-11222","layer":2},{"info":"⫏≰1221011∓⋝⫏≰1120012=⫏≰2111","layer":3},{"info":"⫏≰1221021↤⩊⫏≰20200102=NaN","layer":3},{"info":"⫏≰2111⊬⨰NaN=NaN","layer":2},{"info":"⫏≰-11222⩹NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"(($1724$∪⫐$3267$)⪒$4523$⨚⇆$2662$)⇣⩺⋵$6054$∋$6934$⨻⩈⩔($5675$⋳⪒$1388$)∠↢(↯⪼(∮$3841$))⪕($1349$⨓$1384$)≝⊿($4859$≀⩗∶$4745$)","expression":"((⫏≰2100212∪⫐⫏≰11111000)⪒⫏≰20012112⨚⇆⫏≰10122121)⇣⩺⋵⫏≰22022020∋⫏≰100111211⨻⩈⩔(⫏≰21210012⋳⪒⫏≰1220102)∠↢(↯⪼(∮⫏≰12021021))⪕(⫏≰1211222⨓⫏≰1220021)≝⊿(⫏≰20122222≀⩗∶⫏≰20111202)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33763,"operation_count":14,"complexity_ratio":2411.6428571428573,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1724,"base":3},"right_expr":{"type":"numeric_atoms","value":3267,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4523,"base":3},"right_expr":{"type":"numeric_atoms","value":2662,"base":3}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":6054,"base":3},"right_expr":{"type":"numeric_atoms","value":6934,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5675,"base":3},"right_expr":{"type":"numeric_atoms","value":1388,"base":3}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":3841,"base":3}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1349,"base":3},"right_expr":{"type":"numeric_atoms","value":1384,"base":3}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4859,"base":3},"right_expr":{"type":"numeric_atoms","value":4745,"base":3}}}}},"used_operators":["KbjG8mgYpV","F4yD0voBRQ","f6k1SAg4EE","7YooWSwCyH","lwHaAYXP2r","nEsXyWgiOK","ukq6epAj5P","12rbrZMWeM","umQnsF7QlU","8jW3W4yZS5","CqXKPLVYql","OKKcZfAt5B","3ViojmjbAp","8INZBEW696"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⫏≰10222010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1724","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=3267, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1724","layer":3},{"info":"number node, value=4523","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=2662, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1724, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=6054","layer":4},{"info":"number node, value=6934","layer":4},{"info":"compute binary expreesion, left_input=6054, right_input=6934, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=14628384","layer":3},{"info":"number node, value=5675","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=5675, right_input=1388, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9675","layer":3},{"info":"compute binary expreesion, left_input=14628384, right_input=9675, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=117018671","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=117018671, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=3841","layer":4},{"info":"compute unary expreesion, input=3841, 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":3},{"info":"compute unary expreesion, input=67, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1349","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1384, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1387","layer":3},{"info":"number node, value=4859","layer":4},{"info":"number node, value=4745","layer":4},{"info":"compute binary expreesion, left_input=4859, right_input=4745, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1387, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=854","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=854, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-55, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=2892","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2100212∪⫐⫏≰11111000)⪒⫏≰20012112⨚⇆⫏≰10122121)⇣⩺⋵⫏≰22022020∋⫏≰100111211⨻⩈⩔(⫏≰21210012⋳⪒⫏≰1220102)∠↢(↯⪼(∮⫏≰12021021))⪕(⫏≰1211222⨓⫏≰1220021)≝⊿(⫏≰20122222≀⩗∶⫏≰20111202)=⫏≰10222010","reverse_text":"⫏≰10222010=((⫏≰2100212∪⫐⫏≰11111000)⪒⫏≰20012112⨚⇆⫏≰10122121)⇣⩺⋵⫏≰22022020∋⫏≰100111211⨻⩈⩔(⫏≰21210012⋳⪒⫏≰1220102)∠↢(↯⪼(∮⫏≰12021021))⪕(⫏≰1211222⨓⫏≰1220021)≝⊿(⫏≰20122222≀⩗∶⫏≰20111202)","cot":[{"info":"⫏≰2100212∪⫐⫏≰11111000=⫏≰2100212","layer":3},{"info":"⫏≰20012112⨚⇆⫏≰10122121=NaN","layer":3},{"info":"⫏≰2100212⪒NaN=NaN","layer":2},{"info":"⫏≰22022020∋⫏≰100111211=⫏≰1000112012101000","layer":3},{"info":"⫏≰21210012⋳⪒⫏≰1220102=⫏≰111021100","layer":3},{"info":"⫏≰1000112012101000⨻⩈⩔⫏≰111021100=⫏≰22011012011102212","layer":2},{"info":"NaN⇣⩺⋵⫏≰22011012011102212=⫏≰-100122","layer":1},{"info":"∮⫏≰12021021=⫏≰2111","layer":3},{"info":"↯⪼⫏≰2111=⫏≰-210","layer":2},{"info":"⫏≰1211222⨓⫏≰1220021=⫏≰-1220101","layer":3},{"info":"⫏≰20122222≀⩗∶⫏≰20111202=⫏≰0","layer":3},{"info":"⫏≰-1220101≝⊿⫏≰0=⫏≰1011122","layer":2},{"info":"⫏≰-210⪕⫏≰1011122=⫏≰-2001","layer":1},{"info":"⫏≰-100122∠↢⫏≰-2001=⫏≰10222010","layer":0}]}
{"id":460,"expression_no_base_symbol":"((⩷($4656$⫳≱↱$4269$))≥⨤⩑(≱⇩⩕$4816$⨔≚≋$1466$))⪨⊡($2348$⫁$1257$⩒⫫($7056$⋷$3268$))∥⊢⊲((↔$1036$)⪛⫼($6299$⊠≄⫣))","expression":"((⩷(⫏≰20101110⫳≱↱⫏≰12212010))≥⨤⩑(≱⇩⩕⫏≰20121101⨔≚≋⫏≰2000022))⪨⊡(⫏≰10012222⫁⫏≰1201120⩒⫫(⫏≰100200100⋷⫏≰11111001))∥⊢⊲((↔⫏≰1102101)⪛⫼(⫏≰22122022⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4671,"operation_count":13,"complexity_ratio":359.3076923076923,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4656,"base":3},"right_expr":{"type":"numeric_atoms","value":4269,"base":3}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4816,"base":3},"right_expr":{"type":"numeric_atoms","value":1466,"base":3}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2348,"base":3},"right_expr":{"type":"numeric_atoms","value":1257,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7056,"base":3},"right_expr":{"type":"numeric_atoms","value":3268,"base":3}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1036,"base":3}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6299,"base":3}}}}},"used_operators":["kuIXHzHcAH","gJLn6v0xnP","1h0rLqGiFr","ZvLB05nZmT","3DZMoQKiUl","Z57zeUYC9z","v1UQAVDJRr","KFSx94NKJn","0ajvFaJAv0","23Mk6UjR3U","hyuBjUqXlG","ruOEQAzv1W","DIvbN7qnHd"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1002020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4656","layer":4},{"info":"number node, value=4269","layer":4},{"info":"compute binary expreesion, left_input=4656, right_input=4269, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=2369","layer":2},{"info":"number node, value=4816","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=4816, right_input=1466, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=2369, right_input=113, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=2348","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=1257, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=7056","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=7056, right_input=3268, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-520","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-520, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-142","layer":2},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-763","layer":3},{"info":"number node, value=6299","layer":4},{"info":"compute unary expreesion, input=6299, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-763, 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":2},{"info":"compute binary expreesion, left_input=-142, right_input=968, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":0}],"base":3,"result_base":3,"text":"((⩷(⫏≰20101110⫳≱↱⫏≰12212010))≥⨤⩑(≱⇩⩕⫏≰20121101⨔≚≋⫏≰2000022))⪨⊡(⫏≰10012222⫁⫏≰1201120⩒⫫(⫏≰100200100⋷⫏≰11111001))∥⊢⊲((↔⫏≰1102101)⪛⫼(⫏≰22122022⊠≄⫣))=⫏≰1002020","reverse_text":"⫏≰1002020=((⩷(⫏≰20101110⫳≱↱⫏≰12212010))≥⨤⩑(≱⇩⩕⫏≰20121101⨔≚≋⫏≰2000022))⪨⊡(⫏≰10012222⫁⫏≰1201120⩒⫫(⫏≰100200100⋷⫏≰11111001))∥⊢⊲((↔⫏≰1102101)⪛⫼(⫏≰22122022⊠≄⫣))","cot":[{"info":"⫏≰20101110⫳≱↱⫏≰12212010=⫏≰-21120","layer":3},{"info":"⩷⫏≰-21120=⫏≰10020202","layer":2},{"info":"⫏≰20121101⨔≚≋⫏≰2000022=⫏≰111112122","layer":3},{"info":"≱⇩⩕⫏≰111112122=⫏≰11012","layer":2},{"info":"⫏≰10020202≥⨤⩑⫏≰11012=⫏≰1200201","layer":1},{"info":"⫏≰10012222⫁⫏≰1201120=⫏≰12221","layer":3},{"info":"⫏≰100200100⋷⫏≰11111001=⫏≰-201021","layer":3},{"info":"⫏≰12221⩒⫫⫏≰-201021=⫏≰-12021","layer":2},{"info":"↔⫏≰1102101=⫏≰-1001021","layer":3},{"info":"⫏≰22122022⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰-1001021⪛⫼⫏≰0=⫏≰1022212","layer":2},{"info":"⫏≰-12021∥⊢⊲⫏≰1022212=⫏≰0","layer":1},{"info":"⫏≰1200201⪨⊡⫏≰0=⫏≰1002020","layer":0}]}
{"id":461,"expression_no_base_symbol":"($1129$↹⊜$2407$)⨂≜($6783$⪍↜⋙$5108$)⫣⪄⊒($1115$⨎$1687$≀⩗∶$2316$∳⫺$1262$)⋥≓≎($1811$⋝⋈⪟$4571$↙(⋎⨆$1069$))≴⪞⇿($1064$⪒$1044$⩢≌)","expression":"(⫏≰1112211↹⊜⫏≰10022011)⨂≜(⫏≰100022020⪍↜⋙⫏≰21000012)⫣⪄⊒(⫏≰1112022⨎⫏≰2022111≀⩗∶⫏≰10011210∳⫺⫏≰1201202)⋥≓≎(⫏≰2111002⋝⋈⪟⫏≰20021022↙(⋎⨆⫏≰1110121))≴⪞⇿(⫏≰1110102⪒⫏≰1102200⩢≌)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":7970,"operation_count":14,"complexity_ratio":569.2857142857143,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1129,"base":3},"right_expr":{"type":"numeric_atoms","value":2407,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6783,"base":3},"right_expr":{"type":"numeric_atoms","value":5108,"base":3}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1115,"base":3},"right_expr":{"type":"numeric_atoms","value":1687,"base":3}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2316,"base":3},"right_expr":{"type":"numeric_atoms","value":1262,"base":3}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1811,"base":3},"right_expr":{"type":"numeric_atoms","value":4571,"base":3}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1069,"base":3}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1064,"base":3},"right_expr":{"type":"numeric_atoms","value":1044,"base":3}}}}},"used_operators":["Qy55tPpLXF","RabNbG55vr","k1SHOSEABc","9bazX3JMtO","L05ObWFQCd","8INZBEW696","rJVOvQCfKK","AzXXKTstlj","lvlrscuwVU","yyfyN0ffXY","2DDjHMKMc0","E64sFOc4tB","D617RFjZIq","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","hTbEZDJLEm","o20kRiQErp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-1122002021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=2407, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7466","layer":3},{"info":"number node, value=6783","layer":4},{"info":"number node, value=5108","layer":4},{"info":"compute binary expreesion, left_input=6783, right_input=5108, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=3350","layer":3},{"info":"compute binary expreesion, left_input=-7466, right_input=3350, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1115","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1687, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1687","layer":3},{"info":"number node, value=2316","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=2316, right_input=1262, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=1687, right_input=-260, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3, 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":1},{"info":"number node, value=1811","layer":4},{"info":"number node, value=4571","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=4571, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1811","layer":3},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1811, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=1064","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=1044, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2108","layer":3},{"info":"compute unary expreesion, input=-2108, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-16005","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-16005, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-32137","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1112211↹⊜⫏≰10022011)⨂≜(⫏≰100022020⪍↜⋙⫏≰21000012)⫣⪄⊒(⫏≰1112022⨎⫏≰2022111≀⩗∶⫏≰10011210∳⫺⫏≰1201202)⋥≓≎(⫏≰2111002⋝⋈⪟⫏≰20021022↙(⋎⨆⫏≰1110121))≴⪞⇿(⫏≰1110102⪒⫏≰1102200⩢≌)=⫏≰-1122002021","reverse_text":"⫏≰-1122002021=(⫏≰1112211↹⊜⫏≰10022011)⨂≜(⫏≰100022020⪍↜⋙⫏≰21000012)⫣⪄⊒(⫏≰1112022⨎⫏≰2022111≀⩗∶⫏≰10011210∳⫺⫏≰1201202)⋥≓≎(⫏≰2111002⋝⋈⪟⫏≰20021022↙(⋎⨆⫏≰1110121))≴⪞⇿(⫏≰1110102⪒⫏≰1102200⩢≌)","cot":[{"info":"⫏≰1112211↹⊜⫏≰10022011=⫏≰-101020112","layer":3},{"info":"⫏≰100022020⪍↜⋙⫏≰21000012=⫏≰11121002","layer":3},{"info":"⫏≰-101020112⨂≜⫏≰11121002=NaN","layer":2},{"info":"⫏≰1112022⨎⫏≰2022111=⫏≰2022111","layer":3},{"info":"⫏≰10011210∳⫺⫏≰1201202=⫏≰-100122","layer":3},{"info":"⫏≰2022111≀⩗∶⫏≰-100122=⫏≰10","layer":2},{"info":"NaN⫣⪄⊒⫏≰10=⫏≰12221","layer":1},{"info":"⫏≰2111002⋝⋈⪟⫏≰20021022=⫏≰2111002","layer":3},{"info":"⋎⨆⫏≰1110121=⫏≰0","layer":3},{"info":"⫏≰2111002↙⫏≰0=⫏≰0","layer":2},{"info":"⫏≰1110102⪒⫏≰1102200=⫏≰-2220002","layer":3},{"info":"⫏≰-2220002⩢≌=⫏≰11012","layer":2},{"info":"⫏≰0≴⪞⇿⫏≰11012=⫏≰-210221210","layer":1},{"info":"⫏≰12221⋥≓≎⫏≰-210221210=⫏≰-1122002021","layer":0}]}
{"id":462,"expression_no_base_symbol":"⨙⪌(($1057$↳∿⪆$3528$⋷$1824$⪡$3899$)⨜⨶((∐⩳⋚$2450$)⇣⩺⋵$5745$∣$1086$))","expression":"⨙⪌((⫏≰1110011↳∿⪆⫏≰11211200⋷⫏≰2111120⪡⫏≰12100102)⨜⨶((∐⩳⋚⫏≰10100202)⇣⩺⋵⫏≰21212210∣⫏≰1111020))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2733,"operation_count":8,"complexity_ratio":341.625,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1057,"base":3},"right_expr":{"type":"numeric_atoms","value":3528,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1824,"base":3},"right_expr":{"type":"numeric_atoms","value":3899,"base":3}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2450,"base":3}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5745,"base":3},"right_expr":{"type":"numeric_atoms","value":1086,"base":3}}}}},"used_operators":["vEGLkm4Z2k","HiPekx5b7W","23Mk6UjR3U","Cw4SuJJGHO","oraRL2iQuh","F4yD0voBRQ","SL6IHkK8vl","PPChnnnBFF"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=3528, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=3899, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=2450","layer":4},{"info":"compute unary expreesion, input=2450, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=351567","layer":3},{"info":"number node, value=5745","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=5745, right_input=1086, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5745","layer":3},{"info":"compute binary expreesion, left_input=351567, right_input=5745, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, 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=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨙⪌((⫏≰1110011↳∿⪆⫏≰11211200⋷⫏≰2111120⪡⫏≰12100102)⨜⨶((∐⩳⋚⫏≰10100202)⇣⩺⋵⫏≰21212210∣⫏≰1111020))=NaN","reverse_text":"NaN=⨙⪌((⫏≰1110011↳∿⪆⫏≰11211200⋷⫏≰2111120⪡⫏≰12100102)⨜⨶((∐⩳⋚⫏≰10100202)⇣⩺⋵⫏≰21212210∣⫏≰1111020))","cot":[{"info":"⫏≰1110011↳∿⪆⫏≰11211200=NaN","layer":3},{"info":"⫏≰2111120⪡⫏≰12100102=⫏≰10222","layer":3},{"info":"NaN⋷⫏≰10222=NaN","layer":2},{"info":"∐⩳⋚⫏≰10100202=⫏≰122212021000","layer":3},{"info":"⫏≰21212210∣⫏≰1111020=⫏≰21212210","layer":3},{"info":"⫏≰122212021000⇣⩺⋵⫏≰21212210=⫏≰-100122","layer":2},{"info":"NaN⨜⨶⫏≰-100122=NaN","layer":1},{"info":"⨙⪌NaN=NaN","layer":0}]}
{"id":463,"expression_no_base_symbol":"⨆≐≲((⇤←$2816$⫒⫫$2192$)⨭⪣(∡($5348$⪉⨛$1202$)))","expression":"⨆≐≲((⇤←⫏≰10212022⫒⫫⫏≰10000012)⨭⪣(∡(⫏≰21100002⪉⨛⫏≰1122112)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":140,"operation_count":6,"complexity_ratio":23.333333333333332,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2816,"base":3},"right_expr":{"type":"numeric_atoms","value":2192,"base":3}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5348,"base":3},"right_expr":{"type":"numeric_atoms","value":1202,"base":3}}}}},"used_operators":["Bi9z9uYZqW","kn8WO9XteQ","jfAgQ2OQeM","6Ko8hGgeMq","pRsWfj4Fpp","EWw2JM7wp4"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⫏≰-22120012112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2816","layer":4},{"info":"number node, value=2192","layer":4},{"info":"compute binary expreesion, left_input=2816, right_input=2192, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":2},{"info":"number node, value=5348","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=5348, right_input=1202, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=15057","layer":3},{"info":"compute unary expreesion, input=15057, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-15057","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15057, 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":1},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":3,"result_base":3,"text":"⨆≐≲((⇤←⫏≰10212022⫒⫫⫏≰10000012)⨭⪣(∡(⫏≰21100002⪉⨛⫏≰1122112)))=⫏≰-22120012112","reverse_text":"⫏≰-22120012112=⨆≐≲((⇤←⫏≰10212022⫒⫫⫏≰10000012)⨭⪣(∡(⫏≰21100002⪉⨛⫏≰1122112)))","cot":[{"info":"⫏≰10212022⫒⫫⫏≰10000012=NaN","layer":3},{"info":"⇤←NaN=NaN","layer":2},{"info":"⫏≰21100002⪉⨛⫏≰1122112=⫏≰202122200","layer":3},{"info":"∡⫏≰202122200=⫏≰-202122200","layer":2},{"info":"NaN⨭⪣⫏≰-202122200=NaN","layer":1},{"info":"⨆≐≲NaN=⫏≰-22120012112","layer":0}]}
{"id":464,"expression_no_base_symbol":"(($3033$⊨$2936$)⊔($1426$≒∊$4024$)⫸⇳($1966$⪛⫼$3056$)≀⫉$1699$⊱⇼⊻$1703$)∺≝⩲(((⩩$1334$)+$4098$≌$1549$)⨚(↞≼($1334$∪⫐$3303$)))","expression":"((⫏≰11011100⊨⫏≰11000202)⊔(⫏≰1221211≒∊⫏≰12112001)⫸⇳(⫏≰2200211⪛⫼⫏≰11012012)≀⫉⫏≰2022221⊱⇼⊻⫏≰2100002)∺≝⩲(((⩩⫏≰1211102)+⫏≰12121210≌⫏≰2010101)⨚(↞≼(⫏≰1211102∪⫐⫏≰11112100)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4301,"operation_count":14,"complexity_ratio":307.2142857142857,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3033,"base":3},"right_expr":{"type":"numeric_atoms","value":2936,"base":3}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1426,"base":3},"right_expr":{"type":"numeric_atoms","value":4024,"base":3}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1966,"base":3},"right_expr":{"type":"numeric_atoms","value":3056,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1699,"base":3},"right_expr":{"type":"numeric_atoms","value":1703,"base":3}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1334,"base":3}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4098,"base":3},"right_expr":{"type":"numeric_atoms","value":1549,"base":3}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1334,"base":3},"right_expr":{"type":"numeric_atoms","value":3303,"base":3}}}}},"used_operators":["KPf6cnQVty","gx7XJ7hdpj","E4l6HwMY31","vg4gO5BX6G","5KTvxBwnZo","oZj3VtZNQx","hyuBjUqXlG","FyVja0WsTP","nREPSIbpBE","W4YGzv6Whe","kMhfGuqI2H","lyWz822IDG","DE7zCoGJt9","7YooWSwCyH"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","BjRHVeLaeN","12rbrZMWeM","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rJVOvQCfKK","2DDjHMKMc0"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3033","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=2936, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=13163","layer":3},{"info":"number node, value=1426","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=4024, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-942","layer":3},{"info":"compute binary expreesion, left_input=13163, right_input=-942, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=26291","layer":2},{"info":"number node, value=1966","layer":4},{"info":"number node, value=3056","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=3056, 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":3},{"info":"number node, value=1699","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=1703, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=434, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=26291, right_input=2822, 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=1334","layer":4},{"info":"compute unary expreesion, input=1334, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=4098","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=1549, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1334","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=3303, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1334","layer":3},{"info":"compute unary expreesion, input=1334, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=10258","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10258, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11011100⊨⫏≰11000202)⊔(⫏≰1221211≒∊⫏≰12112001)⫸⇳(⫏≰2200211⪛⫼⫏≰11012012)≀⫉⫏≰2022221⊱⇼⊻⫏≰2100002)∺≝⩲(((⩩⫏≰1211102)+⫏≰12121210≌⫏≰2010101)⨚(↞≼(⫏≰1211102∪⫐⫏≰11112100)))=⫏≰12221","reverse_text":"⫏≰12221=((⫏≰11011100⊨⫏≰11000202)⊔(⫏≰1221211≒∊⫏≰12112001)⫸⇳(⫏≰2200211⪛⫼⫏≰11012012)≀⫉⫏≰2022221⊱⇼⊻⫏≰2100002)∺≝⩲(((⩩⫏≰1211102)+⫏≰12121210≌⫏≰2010101)⨚(↞≼(⫏≰1211102∪⫐⫏≰11112100)))","cot":[{"info":"⫏≰11011100⊨⫏≰11000202=⫏≰200001112","layer":3},{"info":"⫏≰1221211≒∊⫏≰12112001=⫏≰-1021220","layer":3},{"info":"⫏≰200001112⊔⫏≰-1021220=⫏≰1100001202","layer":2},{"info":"⫏≰2200211⪛⫼⫏≰11012012=⫏≰1022212","layer":3},{"info":"⫏≰2022221⊱⇼⊻⫏≰2100002=⫏≰121002","layer":3},{"info":"⫏≰1022212≀⫉⫏≰121002=⫏≰10212112","layer":2},{"info":"⫏≰1100001202⫸⇳⫏≰10212112=⫏≰0","layer":1},{"info":"⩩⫏≰1211102=NaN","layer":3},{"info":"⫏≰12121210≌⫏≰2010101=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⫏≰1211102∪⫐⫏≰11112100=⫏≰1211102","layer":3},{"info":"↞≼⫏≰1211102=⫏≰112001221","layer":2},{"info":"NaN⨚⫏≰112001221=NaN","layer":1},{"info":"⫏≰0∺≝⩲NaN=⫏≰12221","layer":0}]}
{"id":465,"expression_no_base_symbol":"(≔(⋼∭⪍(⫯$1964$)))⩁⩘(($1002$≓∲$7778$∖$1751$∺≝⩲$2359$)⫔⩽⩺(($5077$⋷$5322$)≬⋮$1891$⩧⪆$1622$))","expression":"(≔(⋼∭⪍(⫯⫏≰2200202)))⩁⩘((⫏≰1101010≓∲⫏≰101200002∖⫏≰2101212∺≝⩲⫏≰10020101)⫔⩽⩺((⫏≰20222001⋷⫏≰21022010)≬⋮⫏≰2121001⩧⪆⫏≰2020002))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":763377,"operation_count":11,"complexity_ratio":69397.90909090909,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1964,"base":3}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1002,"base":3},"right_expr":{"type":"numeric_atoms","value":7778,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1751,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5077,"base":3},"right_expr":{"type":"numeric_atoms","value":5322,"base":3}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1891,"base":3},"right_expr":{"type":"numeric_atoms","value":1622,"base":3}}}}},"used_operators":["gub5Cegaqo","8FLs4eVsLt","DbCuESL50I","H6BK1Evt7c","i9eR4S00cU","tXD093vOjl","s1XTVnmDOJ","KPf6cnQVty","kbkesczE7y","23Mk6UjR3U","Ikt5ks8PT7"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-67700","layer":3},{"info":"compute unary expreesion, input=-67700, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-406098","layer":2},{"info":"compute unary expreesion, input=-406098, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=11372038","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=7778","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=7778, 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=10803","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=2359, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=10803, right_input=160, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=5077","layer":4},{"info":"number node, value=5322","layer":4},{"info":"compute binary expreesion, left_input=5077, right_input=5322, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5567","layer":3},{"info":"number node, value=1891","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=1622, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1622","layer":3},{"info":"compute binary expreesion, left_input=5567, right_input=-1622, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=11372038, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≔(⋼∭⪍(⫯⫏≰2200202)))⩁⩘((⫏≰1101010≓∲⫏≰101200002∖⫏≰2101212∺≝⩲⫏≰10020101)⫔⩽⩺((⫏≰20222001⋷⫏≰21022010)≬⋮⫏≰2121001⩧⪆⫏≰2020002))=NaN","reverse_text":"NaN=(≔(⋼∭⪍(⫯⫏≰2200202)))⩁⩘((⫏≰1101010≓∲⫏≰101200002∖⫏≰2101212∺≝⩲⫏≰10020101)⫔⩽⩺((⫏≰20222001⋷⫏≰21022010)≬⋮⫏≰2121001⩧⪆⫏≰2020002))","cot":[{"info":"⫯⫏≰2200202=⫏≰-10102212102","layer":3},{"info":"⋼∭⪍⫏≰-10102212102=⫏≰-202122001200","layer":2},{"info":"≔⫏≰-202122001200=⫏≰210101202111121","layer":1},{"info":"⫏≰1101010≓∲⫏≰101200002=⫏≰112211010","layer":3},{"info":"⫏≰2101212∺≝⩲⫏≰10020101=⫏≰12221","layer":3},{"info":"⫏≰112211010∖⫏≰12221=⫏≰0","layer":2},{"info":"⫏≰20222001⋷⫏≰21022010=⫏≰21122012","layer":3},{"info":"⫏≰2121001⩧⪆⫏≰2020002=⫏≰-2020002","layer":3},{"info":"⫏≰21122012≬⋮⫏≰-2020002=⫏≰1012011","layer":2},{"info":"⫏≰0⫔⩽⩺⫏≰1012011=NaN","layer":1},{"info":"⫏≰210101202111121⩁⩘NaN=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"(⩪∧⨌($2711$≧⫂∧$8861$)∘(↓⇌$2702$))⩘⨬⇊","expression":"(⩪∧⨌(⫏≰10201102≧⫂∧⫏≰110011012)∘(↓⇌⫏≰10201002))⩘⨬⇊","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":22156,"operation_count":5,"complexity_ratio":4431.2,"tree":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2711,"base":3},"right_expr":{"type":"numeric_atoms","value":8861,"base":3}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2702,"base":3}}}}},"used_operators":["XXmTpEpWTW","6iOiAJX1F8","Z5m6OM72h2","Ph9nP6C5qx","PxpmPgHHJV"],"dependent_operators":["rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2711","layer":4},{"info":"number node, value=8861","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=8861, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8388","layer":3},{"info":"number node, value=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2702","layer":3},{"info":"compute binary expreesion, left_input=8388, right_input=2702, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=16776","layer":2},{"info":"compute unary expreesion, input=16776, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=167760","layer":1},{"info":"compute unary expreesion, input=167760, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⩪∧⨌(⫏≰10201102≧⫂∧⫏≰110011012)∘(↓⇌⫏≰10201002))⩘⨬⇊=NaN","reverse_text":"NaN=(⩪∧⨌(⫏≰10201102≧⫂∧⫏≰110011012)∘(↓⇌⫏≰10201002))⩘⨬⇊","cot":[{"info":"⫏≰10201102≧⫂∧⫏≰110011012=⫏≰102111200","layer":3},{"info":"↓⇌⫏≰10201002=⫏≰10201002","layer":3},{"info":"⫏≰102111200∘⫏≰10201002=⫏≰212000100","layer":2},{"info":"⩪∧⨌⫏≰212000100=⫏≰22112010100","layer":1},{"info":"⫏≰22112010100⩘⨬⇊=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"(($1204$≀⫉$1571$)∴≳≥)∘($3536$⪶≀⋏$6743$⋳⪒(⇺⋃$1485$))∽(⋗⩴⪓(∓⪦$1926$))≎⊠⪸(⩩$1382$⪝$2574$)","expression":"((⫏≰1122121≀⫉⫏≰2011012)∴≳≥)∘(⫏≰11211222⪶≀⋏⫏≰100020202⋳⪒(⇺⋃⫏≰2001000))∽(⋗⩴⪓(∓⪦⫏≰2122100))≎⊠⪸(⩩⫏≰1220012⪝⫏≰10112100)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":59608,"operation_count":12,"complexity_ratio":4967.333333333333,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1204,"base":3},"right_expr":{"type":"numeric_atoms","value":1571,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3536,"base":3},"right_expr":{"type":"numeric_atoms","value":6743,"base":3}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1485,"base":3}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1926,"base":3}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1382,"base":3},"right_expr":{"type":"numeric_atoms","value":2574,"base":3}}}}},"used_operators":["y4ImoPnbV5","Z5m6OM72h2","a3N2hFLK0J","oZj3VtZNQx","12rbrZMWeM","zR4jO40bMj","E5v5B3UAjG","bJkvcejdHO","nOKPl9n5zu","D309nIvmXG","kMhfGuqI2H","wicAB68Tmb"],"dependent_operators":["NTOWxs364D","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⫏≰-12201212121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=1571, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=11288","layer":2},{"info":"number node, value=3536","layer":4},{"info":"number node, value=6743","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=6743, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-24326","layer":3},{"info":"number node, value=1485","layer":4},{"info":"compute unary expreesion, input=1485, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-24326, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11288, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=22576","layer":1},{"info":"number node, value=1926","layer":4},{"info":"compute unary expreesion, input=1926, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1518","layer":3},{"info":"compute unary expreesion, input=1518, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-605","layer":2},{"info":"number node, value=1382","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=2574, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-605, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=22576, right_input=67, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-112903","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1122121≀⫉⫏≰2011012)∴≳≥)∘(⫏≰11211222⪶≀⋏⫏≰100020202⋳⪒(⇺⋃⫏≰2001000))∽(⋗⩴⪓(∓⪦⫏≰2122100))≎⊠⪸(⩩⫏≰1220012⪝⫏≰10112100)=⫏≰-12201212121","reverse_text":"⫏≰-12201212121=((⫏≰1122121≀⫉⫏≰2011012)∴≳≥)∘(⫏≰11211222⪶≀⋏⫏≰100020202⋳⪒(⇺⋃⫏≰2001000))∽(⋗⩴⪓(∓⪦⫏≰2122100))≎⊠⪸(⩩⫏≰1220012⪝⫏≰10112100)","cot":[{"info":"⫏≰1122121≀⫉⫏≰2011012=⫏≰10212112","layer":3},{"info":"⫏≰10212112∴≳≥=⫏≰120111002","layer":2},{"info":"⫏≰11211222⪶≀⋏⫏≰100020202=⫏≰-1020100222","layer":3},{"info":"⇺⋃⫏≰2001000=NaN","layer":3},{"info":"⫏≰-1020100222⋳⪒NaN=NaN","layer":2},{"info":"⫏≰120111002∘NaN=⫏≰1010222011","layer":1},{"info":"∓⪦⫏≰2122100=⫏≰2002020","layer":3},{"info":"⋗⩴⪓⫏≰2002020=⫏≰-211102","layer":2},{"info":"⫏≰1220012⪝⫏≰10112100=⫏≰22210","layer":3},{"info":"⩩⫏≰22210=NaN","layer":2},{"info":"⫏≰-211102≎⊠⪸NaN=⫏≰2111","layer":1},{"info":"⫏≰1010222011∽⫏≰2111=⫏≰-12201212121","layer":0}]}
{"id":468,"expression_no_base_symbol":"((⫡⇟⇯$5507$+⪬∐$2327$)⫉⨲⊜((⇵⪽$1655$)⫉⨲⊜($1851$⨝⩣∺)))∥⊢⊲((($2808$∙∹∝$1893$)⫥∨⫟$5587$≨$6716$)⪚(⊥$6879$)⊢(↨⩢⫨$1717$))","expression":"((⫡⇟⇯⫏≰21112222+⪬∐⫏≰10012012)⫉⨲⊜((⇵⪽⫏≰2021022)⫉⨲⊜(⫏≰2112120⨝⩣∺)))∥⊢⊲(((⫏≰10212000∙∹∝⫏≰2121010)⫥∨⫟⫏≰21122221≨⫏≰100012202)⪚(⊥⫏≰100102210)⊢(↨⩢⫨⫏≰2100121))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":370,"operation_count":14,"complexity_ratio":26.428571428571427,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5507,"base":3},"right_expr":{"type":"numeric_atoms","value":2327,"base":3}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1655,"base":3}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1851,"base":3}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2808,"base":3},"right_expr":{"type":"numeric_atoms","value":1893,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5587,"base":3},"right_expr":{"type":"numeric_atoms","value":6716,"base":3}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6879,"base":3}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1717,"base":3}}}}},"used_operators":["v1UQAVDJRr","WhqkvtTD3t","qWUSsah53b","2GS7woTJqF","ZGCBLdVRRX","ancx8kZcWl","HrjLwUk87U","KYD54nUTWz","HmxsFra2vL","0KMCeP1Jsh","5twsqlHp2o","Q3PJZHRvZv","Z5CJsN7DuW"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","eewbuw0ToL","zVYPLywUTj","DZ8iAZOCBD","P8v4zCKN1o","g55IO6H4Gj","D4vGDi5EA2","U7g4x0WXJJ","DZ8iAZOCBD","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","8HhzD0ZcuI","rGHVDoGpnC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","fu6greOZ01","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5507","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=5507, right_input=2327, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-16521","layer":3},{"info":"compute unary expreesion, input=-16521, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=17389","layer":2},{"info":"number node, value=1655","layer":4},{"info":"compute unary expreesion, input=1655, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1851","layer":4},{"info":"compute unary expreesion, input=1851, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-3702","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3702, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-3812","layer":2},{"info":"compute binary expreesion, left_input=17389, right_input=-3812, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-3922","layer":1},{"info":"number node, value=2808","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=2808, right_input=1893, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5587","layer":4},{"info":"number node, value=6716","layer":4},{"info":"compute binary expreesion, left_input=5587, right_input=6716, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-53394","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-53394, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6879","layer":4},{"info":"compute unary expreesion, input=6879, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1717","layer":4},{"info":"compute unary expreesion, input=1717, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3922, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫡⇟⇯⫏≰21112222+⪬∐⫏≰10012012)⫉⨲⊜((⇵⪽⫏≰2021022)⫉⨲⊜(⫏≰2112120⨝⩣∺)))∥⊢⊲(((⫏≰10212000∙∹∝⫏≰2121010)⫥∨⫟⫏≰21122221≨⫏≰100012202)⪚(⊥⫏≰100102210)⊢(↨⩢⫨⫏≰2100121))=NaN","reverse_text":"NaN=((⫡⇟⇯⫏≰21112222+⪬∐⫏≰10012012)⫉⨲⊜((⇵⪽⫏≰2021022)⫉⨲⊜(⫏≰2112120⨝⩣∺)))∥⊢⊲(((⫏≰10212000∙∹∝⫏≰2121010)⫥∨⫟⫏≰21122221≨⫏≰100012202)⪚(⊥⫏≰100102210)⊢(↨⩢⫨⫏≰2100121))","cot":[{"info":"⫏≰21112222+⪬∐⫏≰10012012=⫏≰-211122220","layer":3},{"info":"⫡⇟⇯⫏≰-211122220=⫏≰212212001","layer":2},{"info":"⇵⪽⫏≰2021022=NaN","layer":3},{"info":"⫏≰2112120⨝⩣∺=⫏≰-12002010","layer":3},{"info":"NaN⫉⨲⊜⫏≰-12002010=⫏≰-12020012","layer":2},{"info":"⫏≰212212001⫉⨲⊜⫏≰-12020012=⫏≰-12101021","layer":1},{"info":"⫏≰10212000∙∹∝⫏≰2121010=⫏≰0","layer":3},{"info":"⫏≰21122221≨⫏≰100012202=⫏≰-2201020120","layer":3},{"info":"⫏≰0⫥∨⫟⫏≰-2201020120=NaN","layer":2},{"info":"⊥⫏≰100102210=NaN","layer":3},{"info":"↨⩢⫨⫏≰2100121=⫏≰0","layer":3},{"info":"NaN⊢⫏≰0=NaN","layer":2},{"info":"NaN⪚NaN=NaN","layer":1},{"info":"⫏≰-12101021∥⊢⊲NaN=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"(((∂$6465$)∕⩚$2026$⇮⋭$5807$)∝$2482$⨿$2580$⋣⋖($2285$⨚⇆$1353$))⋅⇍(⨆≐≲(($2620$⪎↠$3100$)∳⫺($4331$⩧⪆$1253$)))","expression":"(((∂⫏≰22212110)∕⩚⫏≰2210001⇮⋭⫏≰21222002)∝⫏≰10101221⨿⫏≰10112120⋣⋖(⫏≰10010122⨚⇆⫏≰1212010))⋅⇍(⨆≐≲((⫏≰10121001⪎↠⫏≰11020211)∳⫺(⫏≰12221102⩧⪆⫏≰1201102)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16511,"operation_count":12,"complexity_ratio":1375.9166666666667,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6465,"base":3}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2026,"base":3},"right_expr":{"type":"numeric_atoms","value":5807,"base":3}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2482,"base":3},"right_expr":{"type":"numeric_atoms","value":2580,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2285,"base":3},"right_expr":{"type":"numeric_atoms","value":1353,"base":3}}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2620,"base":3},"right_expr":{"type":"numeric_atoms","value":3100,"base":3}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4331,"base":3},"right_expr":{"type":"numeric_atoms","value":1253,"base":3}}}}},"used_operators":["AdZkA7nFnk","cTDWOvIxvz","z9ffQ9n5Zr","Uaa54Peajs","vkpjKywKVM","J0M6qkBnIM","abYXlopdE0","lwHaAYXP2r","Bi9z9uYZqW","AzXXKTstlj","3tVxb0NHM4","Ikt5ks8PT7"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","7j4O788W3g","W4YGzv6Whe","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eewbuw0ToL","t8gj7n24qd"],"result":"⫏≰-10101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6465","layer":4},{"info":"compute unary expreesion, input=6465, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=5807","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=5807, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=2482","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=2580, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2285","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=1353, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=-319, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-482","layer":1},{"info":"number node, value=2620","layer":4},{"info":"number node, value=3100","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=3100, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=4331","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=4331, right_input=1253, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1253","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1253, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"compute binary expreesion, left_input=-482, right_input=-168548, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-91","layer":0}],"base":3,"result_base":3,"text":"(((∂⫏≰22212110)∕⩚⫏≰2210001⇮⋭⫏≰21222002)∝⫏≰10101221⨿⫏≰10112120⋣⋖(⫏≰10010122⨚⇆⫏≰1212010))⋅⇍(⨆≐≲((⫏≰10121001⪎↠⫏≰11020211)∳⫺(⫏≰12221102⩧⪆⫏≰1201102)))=⫏≰-10101","reverse_text":"⫏≰-10101=(((∂⫏≰22212110)∕⩚⫏≰2210001⇮⋭⫏≰21222002)∝⫏≰10101221⨿⫏≰10112120⋣⋖(⫏≰10010122⨚⇆⫏≰1212010))⋅⇍(⨆≐≲((⫏≰10121001⪎↠⫏≰11020211)∳⫺(⫏≰12221102⩧⪆⫏≰1201102)))","cot":[{"info":"∂⫏≰22212110=NaN","layer":3},{"info":"⫏≰2210001⇮⋭⫏≰21222002=⫏≰-122112","layer":3},{"info":"NaN∕⩚⫏≰-122112=⫏≰-200001","layer":2},{"info":"⫏≰10101221⨿⫏≰10112120=⫏≰-102211","layer":3},{"info":"⫏≰10010122⨚⇆⫏≰1212010=NaN","layer":3},{"info":"⫏≰-102211⋣⋖NaN=⫏≰-102211","layer":2},{"info":"⫏≰-200001∝⫏≰-102211=⫏≰-122212","layer":1},{"info":"⫏≰10121001⪎↠⫏≰11020211=⫏≰12221","layer":3},{"info":"⫏≰12221102⩧⪆⫏≰1201102=⫏≰-1201102","layer":3},{"info":"⫏≰12221∳⫺⫏≰-1201102=⫏≰-100122","layer":2},{"info":"⨆≐≲⫏≰-100122=⫏≰-22120012112","layer":1},{"info":"⫏≰-122212⋅⇍⫏≰-22120012112=⫏≰-10101","layer":0}]}
{"id":470,"expression_no_base_symbol":"($1045$⇻⋧≁$3654$≣⋋)⊴($5638$⇌⫙⪟$1564$⊾⪯⋞$7055$↢$4602$)⪭≯(($1465$∊∟⩊$1412$≬⇓(↡$2071$))⫩⊇)","expression":"(⫏≰1102201⇻⋧≁⫏≰12000100≣⋋)⊴(⫏≰21201211⇌⫙⪟⫏≰2010221⊾⪯⋞⫏≰100200022↢⫏≰20022110)⪭≯((⫏≰2000021∊∟⩊⫏≰1221022≬⇓(↡⫏≰2211201))⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14545,"operation_count":11,"complexity_ratio":1322.2727272727273,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1045,"base":3},"right_expr":{"type":"numeric_atoms","value":3654,"base":3}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":5638,"base":3},"right_expr":{"type":"numeric_atoms","value":1564,"base":3}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":7055,"base":3},"right_expr":{"type":"numeric_atoms","value":4602,"base":3}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1465,"base":3},"right_expr":{"type":"numeric_atoms","value":1412,"base":3}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2071,"base":3}}}}},"used_operators":["XAx5wpdLa6","Nsiff2A1zJ","Tcnh7f0tEr","jCPkEVoL5K","HK0tfVPux8","AFVx7xoS7T","WR6HLWljOP","BjRHVeLaeN","jWTQ2TZYIH","ddLRYrp01A","MXaNJeIAZ3"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=3654, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=5638","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=5638, right_input=1564, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=7055","layer":4},{"info":"number node, value=4602","layer":4},{"info":"compute binary expreesion, left_input=7055, right_input=4602, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6571","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=6571, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=12716","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12716, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1465","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1412, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1412","layer":3},{"info":"number node, value=2071","layer":4},{"info":"compute unary expreesion, input=2071, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=18639","layer":3},{"info":"compute binary expreesion, left_input=1412, right_input=18639, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=64","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=64, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1102201⇻⋧≁⫏≰12000100≣⋋)⊴(⫏≰21201211⇌⫙⪟⫏≰2010221⊾⪯⋞⫏≰100200022↢⫏≰20022110)⪭≯((⫏≰2000021∊∟⩊⫏≰1221022≬⇓(↡⫏≰2211201))⫩⊇)=NaN","reverse_text":"NaN=(⫏≰1102201⇻⋧≁⫏≰12000100≣⋋)⊴(⫏≰21201211⇌⫙⪟⫏≰2010221⊾⪯⋞⫏≰100200022↢⫏≰20022110)⪭≯((⫏≰2000021∊∟⩊⫏≰1221022≬⇓(↡⫏≰2211201))⫩⊇)","cot":[{"info":"⫏≰1102201⇻⋧≁⫏≰12000100=⫏≰-121120","layer":3},{"info":"⫏≰-121120≣⋋=⫏≰0","layer":2},{"info":"⫏≰21201211⇌⫙⪟⫏≰2010221=⫏≰11012","layer":3},{"info":"⫏≰100200022↢⫏≰20022110=⫏≰100000101","layer":3},{"info":"⫏≰11012⊾⪯⋞⫏≰100000101=⫏≰122102222","layer":2},{"info":"⫏≰0⊴⫏≰122102222=NaN","layer":1},{"info":"⫏≰2000021∊∟⩊⫏≰1221022=⫏≰1221022","layer":3},{"info":"↡⫏≰2211201=⫏≰221120100","layer":3},{"info":"⫏≰1221022≬⇓⫏≰221120100=⫏≰-211","layer":2},{"info":"⫏≰-211⫩⊇=⫏≰2101","layer":1},{"info":"NaN⪭≯⫏≰2101=NaN","layer":0}]}
{"id":471,"expression_no_base_symbol":"(($9616$⪚$1416$)⊮⊟↴($3628$≀⫉$4287$)⊭↱($1076$∊∟⩊$2864$)⪬($3660$⩢≌))↞⋁(($5550$⨸⪁$4045$-($1285$⪗))⫰⋱($5447$⨌↪)⪇≇⋚$2925$⨻⩈⩔$3949$)","expression":"((⫏≰111012011⪚⫏≰1221110)⊮⊟↴(⫏≰11222101≀⫉⫏≰12212210)⊭↱(⫏≰1110212∊∟⩊⫏≰10221002)⪬(⫏≰12000120⩢≌))↞⋁((⫏≰21121120⨸⪁⫏≰12112211-(⫏≰1202121⪗))⫰⋱(⫏≰21110202⨌↪)⪇≇⋚⫏≰11000100⨻⩈⩔⫏≰12102021)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2641,"operation_count":15,"complexity_ratio":176.06666666666666,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":9616,"base":3},"right_expr":{"type":"numeric_atoms","value":1416,"base":3}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3628,"base":3},"right_expr":{"type":"numeric_atoms","value":4287,"base":3}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1076,"base":3},"right_expr":{"type":"numeric_atoms","value":2864,"base":3}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":3660,"base":3}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5550,"base":3},"right_expr":{"type":"numeric_atoms","value":4045,"base":3}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1285,"base":3}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":5447,"base":3}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2925,"base":3},"right_expr":{"type":"numeric_atoms","value":3949,"base":3}}}}},"used_operators":["RqrPlJkxDo","COABgblf1C","QDVgd2eftb","HrjLwUk87U","oZj3VtZNQx","Ez1Nq5fNfI","ddLRYrp01A","D617RFjZIq","6o9Blt3TJ6","rysDP5nf3Z","g55IO6H4Gj","VEQNXA0ZBg","3sJ7IOPOlU","cWQsF5MvuD","nEsXyWgiOK"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","hTbEZDJLEm","o20kRiQErp","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","dWAJyo7jo9","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9616","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=9616, right_input=1416, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=16044","layer":3},{"info":"number node, value=3628","layer":4},{"info":"number node, value=4287","layer":4},{"info":"compute binary expreesion, left_input=3628, right_input=4287, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=16044, right_input=2822, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2864, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2864","layer":3},{"info":"number node, value=3660","layer":4},{"info":"compute unary expreesion, input=3660, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2864, right_input=113, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2473","layer":1},{"info":"number node, value=5550","layer":4},{"info":"number node, value=4045","layer":4},{"info":"compute binary expreesion, left_input=5550, right_input=4045, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19190","layer":3},{"info":"number node, value=1285","layer":4},{"info":"compute unary expreesion, input=1285, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19190, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5447","layer":4},{"info":"compute unary expreesion, input=5447, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=2925","layer":4},{"info":"number node, value=3949","layer":4},{"info":"compute binary expreesion, left_input=2925, right_input=3949, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=14999","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=14999, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2473, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰111012011⪚⫏≰1221110)⊮⊟↴(⫏≰11222101≀⫉⫏≰12212210)⊭↱(⫏≰1110212∊∟⩊⫏≰10221002)⪬(⫏≰12000120⩢≌))↞⋁((⫏≰21121120⨸⪁⫏≰12112211-(⫏≰1202121⪗))⫰⋱(⫏≰21110202⨌↪)⪇≇⋚⫏≰11000100⨻⩈⩔⫏≰12102021)=NaN","reverse_text":"NaN=((⫏≰111012011⪚⫏≰1221110)⊮⊟↴(⫏≰11222101≀⫉⫏≰12212210)⊭↱(⫏≰1110212∊∟⩊⫏≰10221002)⪬(⫏≰12000120⩢≌))↞⋁((⫏≰21121120⨸⪁⫏≰12112211-(⫏≰1202121⪗))⫰⋱(⫏≰21110202⨌↪)⪇≇⋚⫏≰11000100⨻⩈⩔⫏≰12102021)","cot":[{"info":"⫏≰111012011⪚⫏≰1221110=⫏≰211000020","layer":3},{"info":"⫏≰11222101≀⫉⫏≰12212210=⫏≰10212112","layer":3},{"info":"⫏≰211000020⊮⊟↴⫏≰10212112=⫏≰0","layer":2},{"info":"⫏≰1110212∊∟⩊⫏≰10221002=⫏≰10221002","layer":3},{"info":"⫏≰12000120⩢≌=⫏≰11012","layer":3},{"info":"⫏≰10221002⪬⫏≰11012=⫏≰1200201","layer":2},{"info":"⫏≰0⊭↱⫏≰1200201=⫏≰10101121","layer":1},{"info":"⫏≰21121120⨸⪁⫏≰12112211=⫏≰222022202","layer":3},{"info":"⫏≰1202121⪗=NaN","layer":3},{"info":"⫏≰222022202-NaN=NaN","layer":2},{"info":"⫏≰21110202⨌↪=⫏≰-122210","layer":3},{"info":"⫏≰11000100⨻⩈⩔⫏≰12102021=⫏≰202120112","layer":3},{"info":"⫏≰-122210⪇≇⋚⫏≰202120112=⫏≰0","layer":2},{"info":"NaN⫰⋱⫏≰0=NaN","layer":1},{"info":"⫏≰10101121↞⋁NaN=NaN","layer":0}]}
{"id":472,"expression_no_base_symbol":"(($1253$≋⫹)⋭≵$1047$⋳⪒$2899$)⇤(⊖$1448$⊋≦⊧$1295$)⨴∎","expression":"((⫏≰1201102≋⫹)⋭≵⫏≰1102210⋳⪒⫏≰10222101)⇤(⊖⫏≰1222122⊋≦⊧⫏≰1202222)⨴∎","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33998,"operation_count":7,"complexity_ratio":4856.857142857143,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1253,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1047,"base":3},"right_expr":{"type":"numeric_atoms","value":2899,"base":3}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1448,"base":3},"right_expr":{"type":"numeric_atoms","value":1295,"base":3}}}}},"used_operators":["CpSg5vQTgA","YSKBFp38Pu","jBncVCNhdl","N41Kp7NANJ","12rbrZMWeM","U6pG0PXrV3","oRDoc9rAEX"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":4},{"info":"compute unary expreesion, input=1253, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2506","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=2899, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1092","layer":3},{"info":"compute binary expreesion, left_input=-2506, right_input=-1092, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1448","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=1295, 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=-2350","layer":3},{"info":"compute unary expreesion, input=-2350, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=7050","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=7050, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-32737","layer":1},{"info":"compute unary expreesion, input=-32737, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1201102≋⫹)⋭≵⫏≰1102210⋳⪒⫏≰10222101)⇤(⊖⫏≰1222122⊋≦⊧⫏≰1202222)⨴∎=NaN","reverse_text":"NaN=((⫏≰1201102≋⫹)⋭≵⫏≰1102210⋳⪒⫏≰10222101)⇤(⊖⫏≰1222122⊋≦⊧⫏≰1202222)⨴∎","cot":[{"info":"⫏≰1201102≋⫹=⫏≰-10102211","layer":3},{"info":"⫏≰1102210⋳⪒⫏≰10222101=⫏≰-1111110","layer":3},{"info":"⫏≰-10102211⋭≵⫏≰-1111110=⫏≰2111","layer":2},{"info":"⫏≰1222122⊋≦⊧⫏≰1202222=⫏≰-10020001","layer":3},{"info":"⊖⫏≰-10020001=⫏≰100200010","layer":2},{"info":"⫏≰2111⇤⫏≰100200010=⫏≰-1122220111","layer":1},{"info":"⫏≰-1122220111⨴∎=NaN","layer":0}]}
{"id":473,"expression_no_base_symbol":"($1445$⨑⩅≇$1032$∋$3906$∥⊢⊲$1188$)⇻⋧≁(($2736$↬⩅∪)⋹⋡⊁($2224$⪟⇏$1179$))⪘⨀","expression":"(⫏≰1222112⨑⩅≇⫏≰1102020∋⫏≰12100200∥⊢⊲⫏≰1122000)⇻⋧≁((⫏≰10202100↬⩅∪)⋹⋡⊁(⫏≰10001101⪟⇏⫏≰1121200))⪘⨀","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1380,"operation_count":8,"complexity_ratio":172.5,"tree":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1445,"base":3},"right_expr":{"type":"numeric_atoms","value":1032,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3906,"base":3},"right_expr":{"type":"numeric_atoms","value":1188,"base":3}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2736,"base":3}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2224,"base":3},"right_expr":{"type":"numeric_atoms","value":1179,"base":3}}}}},"used_operators":["aA7tF3KVD3","jCPkEVoL5K","ukq6epAj5P","h92wMvzauj","v1UQAVDJRr","As8RqfVLgs","VJ330n2nnx","GODebY97qR"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","EBcxylXtPf","rGHVDoGpnC","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⫏≰1021110010120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=1032, 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=-4335","layer":3},{"info":"number node, value=3906","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=3906, right_input=1188, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4335, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-37284","layer":2},{"info":"number node, value=2736","layer":4},{"info":"compute unary expreesion, input=2736, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-8208","layer":3},{"info":"number node, value=2224","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=1179, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-8208, right_input=-1, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=131066","layer":2},{"info":"compute binary expreesion, left_input=-37284, right_input=131066, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-338933","layer":1},{"info":"compute unary expreesion, input=-338933, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=678066","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1222112⨑⩅≇⫏≰1102020∋⫏≰12100200∥⊢⊲⫏≰1122000)⇻⋧≁((⫏≰10202100↬⩅∪)⋹⋡⊁(⫏≰10001101⪟⇏⫏≰1121200))⪘⨀=⫏≰1021110010120","reverse_text":"⫏≰1021110010120=(⫏≰1222112⨑⩅≇⫏≰1102020∋⫏≰12100200∥⊢⊲⫏≰1122000)⇻⋧≁((⫏≰10202100↬⩅∪)⋹⋡⊁(⫏≰10001101⪟⇏⫏≰1121200))⪘⨀","cot":[{"info":"⫏≰1222112⨑⩅≇⫏≰1102020=⫏≰-12221120","layer":3},{"info":"⫏≰12100200∥⊢⊲⫏≰1122000=NaN","layer":3},{"info":"⫏≰-12221120∋NaN=⫏≰-1220010220","layer":2},{"info":"⫏≰10202100↬⩅∪=⫏≰-102021000","layer":3},{"info":"⫏≰10001101⪟⇏⫏≰1121200=⫏≰-1","layer":3},{"info":"⫏≰-102021000⋹⋡⊁⫏≰-1=⫏≰20122210022","layer":2},{"info":"⫏≰-1220010220⇻⋧≁⫏≰20122210022=⫏≰-122012221002","layer":1},{"info":"⫏≰-122012221002⪘⨀=⫏≰1021110010120","layer":0}]}
{"id":474,"expression_no_base_symbol":"(((∐⩳⋚$3090$)⨴∎)∷)⋻⩜⩜($1216$⪘⫢$3166$≥⨤⩑$5192$≹⇙⪍$3226$)∛($1404$∳⫺$4700$)⇡⇂($2863$⊱⇼⊻$1314$)","expression":"(((∐⩳⋚⫏≰11020110)⨴∎)∷)⋻⩜⩜(⫏≰1200001⪘⫢⫏≰11100021≥⨤⩑⫏≰21010022≹⇙⪍⫏≰11102111)∛(⫏≰1221000∳⫺⫏≰20110002)⇡⇂(⫏≰10221001⊱⇼⊻⫏≰1210200)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":451932,"operation_count":11,"complexity_ratio":41084.72727272727,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":3090,"base":3}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1216,"base":3},"right_expr":{"type":"numeric_atoms","value":3166,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5192,"base":3},"right_expr":{"type":"numeric_atoms","value":3226,"base":3}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1404,"base":3},"right_expr":{"type":"numeric_atoms","value":4700,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2863,"base":3},"right_expr":{"type":"numeric_atoms","value":1314,"base":3}}}}},"used_operators":["oDCm7WA9JY","nFAOW8KTqp","CpSg5vQTgA","SL6IHkK8vl","w2537kitQq","gJLn6v0xnP","oacrs7FA3X","AHs5Up7iyr","UMwdvZNt44","AzXXKTstlj","FyVja0WsTP"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3090","layer":4},{"info":"compute unary expreesion, input=3090, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=448207","layer":3},{"info":"compute unary expreesion, input=448207, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":1},{"info":"number node, value=1216","layer":4},{"info":"number node, value=3166","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=3166, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2308","layer":3},{"info":"number node, value=5192","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=5192, right_input=3226, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2308, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1404","layer":4},{"info":"number node, value=4700","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=4700, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-3722","layer":3},{"info":"number node, value=2863","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=1314, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-3722, right_input=434, 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":2},{"info":"compute binary expreesion, left_input=1234, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, 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":3,"result_base":3,"text":"(((∐⩳⋚⫏≰11020110)⨴∎)∷)⋻⩜⩜(⫏≰1200001⪘⫢⫏≰11100021≥⨤⩑⫏≰21010022≹⇙⪍⫏≰11102111)∛(⫏≰1221000∳⫺⫏≰20110002)⇡⇂(⫏≰10221001⊱⇼⊻⫏≰1210200)=NaN","reverse_text":"NaN=(((∐⩳⋚⫏≰11020110)⨴∎)∷)⋻⩜⩜(⫏≰1200001⪘⫢⫏≰11100021≥⨤⩑⫏≰21010022≹⇙⪍⫏≰11102111)∛(⫏≰1221000∳⫺⫏≰20110002)⇡⇂(⫏≰10221001⊱⇼⊻⫏≰1210200)","cot":[{"info":"∐⩳⋚⫏≰11020110=⫏≰211202211021","layer":3},{"info":"⫏≰211202211021⨴∎=NaN","layer":2},{"info":"NaN∷=NaN","layer":1},{"info":"⫏≰1200001⪘⫢⫏≰11100021=⫏≰10011111","layer":3},{"info":"⫏≰21010022≹⇙⪍⫏≰11102111=NaN","layer":3},{"info":"⫏≰10011111≥⨤⩑NaN=⫏≰1200201","layer":2},{"info":"⫏≰1221000∳⫺⫏≰20110002=⫏≰-12002212","layer":3},{"info":"⫏≰10221001⊱⇼⊻⫏≰1210200=⫏≰121002","layer":3},{"info":"⫏≰-12002212⇡⇂⫏≰121002=NaN","layer":2},{"info":"⫏≰1200201∛NaN=⫏≰2111","layer":1},{"info":"NaN⋻⩜⩜⫏≰2111=NaN","layer":0}]}
{"id":475,"expression_no_base_symbol":"≸(⫯(($1302$⇄$3922$)⫘($2176$⨐⩸⫘$1682$)))","expression":"≸(⫯((⫏≰1210020⇄⫏≰12101021)⫘(⫏≰2222121⨐⩸⫘⫏≰2022022)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":178,"operation_count":5,"complexity_ratio":35.6,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1302,"base":3},"right_expr":{"type":"numeric_atoms","value":3922,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2176,"base":3},"right_expr":{"type":"numeric_atoms","value":1682,"base":3}}}}},"used_operators":["eOf03JbCpp","H6BK1Evt7c","48vC8HMD2b","3EYGwJThht","fu6greOZ01"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1302","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=3922, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2176","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=1682, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', 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":3,"result_base":3,"text":"≸(⫯((⫏≰1210020⇄⫏≰12101021)⫘(⫏≰2222121⨐⩸⫘⫏≰2022022)))=NaN","reverse_text":"NaN=≸(⫯((⫏≰1210020⇄⫏≰12101021)⫘(⫏≰2222121⨐⩸⫘⫏≰2022022)))","cot":[{"info":"⫏≰1210020⇄⫏≰12101021=⫏≰0","layer":3},{"info":"⫏≰2222121⨐⩸⫘⫏≰2022022=NaN","layer":3},{"info":"⫏≰0⫘NaN=NaN","layer":2},{"info":"⫯NaN=NaN","layer":1},{"info":"≸NaN=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"(($4181$⪶≀⋏$6689$)∼(⊬↢$1547$)⋝⋈⪟((≔$1696$)⫑))≎⪠((⋗⩴⪓($5317$⨳⩥⨓$1258$))≦↸(≪(⋠∜$1519$)))","expression":"((⫏≰12201212⪶≀⋏⫏≰100011202)∼(⊬↢⫏≰2010022)⋝⋈⪟((≔⫏≰2022211)⫑))≎⪠((⋗⩴⪓(⫏≰21021221⨳⩥⨓⫏≰1201121))≦↸(≪(⋠∜⫏≰2002021)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22295,"operation_count":12,"complexity_ratio":1857.9166666666667,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4181,"base":3},"right_expr":{"type":"numeric_atoms","value":6689,"base":3}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1547,"base":3}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1696,"base":3}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5317,"base":3},"right_expr":{"type":"numeric_atoms","value":1258,"base":3}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1519,"base":3}}}}},"used_operators":["aNhz54LH3e","2DDjHMKMc0","DyGG3AbaNP","zR4jO40bMj","WPoGxAaPR1","CgIo77xlM2","8FLs4eVsLt","RygbFNSyEJ","nOKPl9n5zu","nCS4ZIUYfx","Qtd6bqUJcN","ZJpFhNJr3x"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","rysDP5nf3Z","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"⫏≰222211101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4181","layer":4},{"info":"number node, value=6689","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=6689, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-26153","layer":3},{"info":"number node, value=1547","layer":4},{"info":"compute unary expreesion, input=1547, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=-26153, right_input=218, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=1696","layer":4},{"info":"compute unary expreesion, input=1696, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-46194","layer":3},{"info":"compute unary expreesion, input=-46194, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-480, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"number node, value=5317","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=5317, right_input=1258, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4059","layer":3},{"info":"compute unary expreesion, input=-4059, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=18856","layer":2},{"info":"number node, value=1519","layer":4},{"info":"compute unary expreesion, input=1519, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=8360","layer":3},{"info":"compute unary expreesion, input=8360, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=18856, right_input=913, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-38857","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-38857, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12201212⪶≀⋏⫏≰100011202)∼(⊬↢⫏≰2010022)⋝⋈⪟((≔⫏≰2022211)⫑))≎⪠((⋗⩴⪓(⫏≰21021221⨳⩥⨓⫏≰1201121))≦↸(≪(⋠∜⫏≰2002021)))=⫏≰222211101","reverse_text":"⫏≰222211101=((⫏≰12201212⪶≀⋏⫏≰100011202)∼(⊬↢⫏≰2010022)⋝⋈⪟((≔⫏≰2022211)⫑))≎⪠((⋗⩴⪓(⫏≰21021221⨳⩥⨓⫏≰1201121))≦↸(≪(⋠∜⫏≰2002021)))","cot":[{"info":"⫏≰12201212⪶≀⋏⫏≰100011202=⫏≰-1022212122","layer":3},{"info":"⊬↢⫏≰2010022=⫏≰22002","layer":3},{"info":"⫏≰-1022212122∼⫏≰22002=⫏≰0","layer":2},{"info":"≔⫏≰2022211=⫏≰-2100100220","layer":3},{"info":"⫏≰-2100100220⫑=⫏≰-122210","layer":2},{"info":"⫏≰0⋝⋈⪟⫏≰-122210=⫏≰0","layer":1},{"info":"⫏≰21021221⨳⩥⨓⫏≰1201121=⫏≰-12120100","layer":3},{"info":"⋗⩴⪓⫏≰-12120100=⫏≰221212101","layer":2},{"info":"⋠∜⫏≰2002021=⫏≰102110122","layer":3},{"info":"≪⫏≰102110122=⫏≰1020211","layer":2},{"info":"⫏≰221212101≦↸⫏≰1020211=⫏≰-1222022011","layer":1},{"info":"⫏≰0≎⪠⫏≰-1222022011=⫏≰222211101","layer":0}]}
{"id":477,"expression_no_base_symbol":"(↪⫪⫘($1259$⋩≍≻))⪭($1007$⫌⩹⨱)⨟⋌⩍$2188$≹⇙⪍$2145$⊾⪯⋞($1503$⇮⋭$3161$)⨭⪣$7993$⫒⫫$7524$↙(($8309$⇌⫙⪟$7959$)⊧↖)","expression":"(↪⫪⫘(⫏≰1201122⋩≍≻))⪭(⫏≰1101022⫌⩹⨱)⨟⋌⩍⫏≰10000001≹⇙⪍⫏≰2221110⊾⪯⋞(⫏≰2001200⇮⋭⫏≰11100002)⨭⪣⫏≰101222001⫒⫫⫏≰101022200↙((⫏≰102101202⇌⫙⪟⫏≰101220210)⊧↖)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":383,"operation_count":13,"complexity_ratio":29.46153846153846,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1259,"base":3}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1007,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2188,"base":3},"right_expr":{"type":"numeric_atoms","value":2145,"base":3}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1503,"base":3},"right_expr":{"type":"numeric_atoms","value":3161,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":7993,"base":3},"right_expr":{"type":"numeric_atoms","value":7524,"base":3}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":8309,"base":3},"right_expr":{"type":"numeric_atoms","value":7959,"base":3}}}}},"used_operators":["HK0tfVPux8","j9kHMeSvPp","9dWsAM3GFt","WYd1w68Nbz","rGHVDoGpnC","EBcxylXtPf","AHs5Up7iyr","yyfyN0ffXY","kn8WO9XteQ","vkpjKywKVM","6Ko8hGgeMq","EKiFHuOFxO","AFVx7xoS7T"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","COABgblf1C","xUOZtlo3hN","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⫏≰-1010022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1259","layer":4},{"info":"compute unary expreesion, input=1259, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3415","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=2145, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3415, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-194","layer":1},{"info":"number node, value=1503","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=3161, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=7993","layer":4},{"info":"number node, value=7524","layer":4},{"info":"compute binary expreesion, left_input=7993, right_input=7524, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":2},{"info":"number node, value=8309","layer":4},{"info":"number node, value=7959","layer":4},{"info":"compute binary expreesion, left_input=8309, right_input=7959, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=74420","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=74420, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-194, right_input=-21, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":0}],"base":3,"result_base":3,"text":"(↪⫪⫘(⫏≰1201122⋩≍≻))⪭(⫏≰1101022⫌⩹⨱)⨟⋌⩍⫏≰10000001≹⇙⪍⫏≰2221110⊾⪯⋞(⫏≰2001200⇮⋭⫏≰11100002)⨭⪣⫏≰101222001⫒⫫⫏≰101022200↙((⫏≰102101202⇌⫙⪟⫏≰101220210)⊧↖)=⫏≰-1010022","reverse_text":"⫏≰-1010022=(↪⫪⫘(⫏≰1201122⋩≍≻))⪭(⫏≰1101022⫌⩹⨱)⨟⋌⩍⫏≰10000001≹⇙⪍⫏≰2221110⊾⪯⋞(⫏≰2001200⇮⋭⫏≰11100002)⨭⪣⫏≰101222001⫒⫫⫏≰101022200↙((⫏≰102101202⇌⫙⪟⫏≰101220210)⊧↖)","cot":[{"info":"⫏≰1201122⋩≍≻=⫏≰-2001","layer":3},{"info":"↪⫪⫘⫏≰-2001=⫏≰202","layer":2},{"info":"⫏≰1101022⫌⩹⨱=⫏≰11200111","layer":3},{"info":"⫏≰10000001≹⇙⪍⫏≰2221110=NaN","layer":3},{"info":"⫏≰11200111⨟⋌⩍NaN=NaN","layer":2},{"info":"⫏≰202⪭NaN=⫏≰-21012","layer":1},{"info":"⫏≰2001200⇮⋭⫏≰11100002=⫏≰-122112","layer":3},{"info":"⫏≰101222001⫒⫫⫏≰101022200=NaN","layer":3},{"info":"⫏≰-122112⨭⪣NaN=⫏≰-210","layer":2},{"info":"⫏≰102101202⇌⫙⪟⫏≰101220210=⫏≰11012","layer":3},{"info":"⫏≰11012⊧↖=⫏≰10210002022","layer":2},{"info":"⫏≰-210↙⫏≰10210002022=⫏≰-210","layer":1},{"info":"⫏≰-21012⊾⪯⋞⫏≰-210=⫏≰-1010022","layer":0}]}
{"id":478,"expression_no_base_symbol":"(↣≠⋷($6752$⇴∐$2420$⨭⪣$2509$⨂≜$1507$))⩧⪆(($1216$⩧⪆$6155$)⪶≀⋏(∂$3367$))⪚(⇜⊴($6466$∕⩚$3765$))","expression":"(↣≠⋷(⫏≰100021002⇴∐⫏≰10022122⨭⪣⫏≰10102221⨂≜⫏≰2001211))⩧⪆((⫏≰1200001⩧⪆⫏≰22102222)⪶≀⋏(∂⫏≰11121201))⪚(⇜⊴(⫏≰22212111∕⩚⫏≰12011110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9647,"operation_count":11,"complexity_ratio":877.0,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":6752,"base":3},"right_expr":{"type":"numeric_atoms","value":2420,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2509,"base":3},"right_expr":{"type":"numeric_atoms","value":1507,"base":3}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1216,"base":3},"right_expr":{"type":"numeric_atoms","value":6155,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3367,"base":3}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6466,"base":3},"right_expr":{"type":"numeric_atoms","value":3765,"base":3}}}}},"used_operators":["Ikt5ks8PT7","Asc51vEJeQ","kn8WO9XteQ","HnzytWxmAO","k1SHOSEABc","HrjLwUk87U","zR4jO40bMj","Uaa54Peajs","XwDhCwWbUn","z9ffQ9n5Zr"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6752","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=6752, right_input=2420, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=2509","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1507, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1216","layer":4},{"info":"number node, value=6155","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=6155, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6155","layer":3},{"info":"number node, value=3367","layer":4},{"info":"compute unary expreesion, input=3367, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6155, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"number node, value=6466","layer":4},{"info":"number node, value=3765","layer":4},{"info":"compute binary expreesion, left_input=6466, right_input=3765, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6469","layer":3},{"info":"compute unary expreesion, input=-6469, 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=-200644","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-200644, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↣≠⋷(⫏≰100021002⇴∐⫏≰10022122⨭⪣⫏≰10102221⨂≜⫏≰2001211))⩧⪆((⫏≰1200001⩧⪆⫏≰22102222)⪶≀⋏(∂⫏≰11121201))⪚(⇜⊴(⫏≰22212111∕⩚⫏≰12011110))=NaN","reverse_text":"NaN=(↣≠⋷(⫏≰100021002⇴∐⫏≰10022122⨭⪣⫏≰10102221⨂≜⫏≰2001211))⩧⪆((⫏≰1200001⩧⪆⫏≰22102222)⪶≀⋏(∂⫏≰11121201))⪚(⇜⊴(⫏≰22212111∕⩚⫏≰12011110))","cot":[{"info":"⫏≰100021002⇴∐⫏≰10022122=NaN","layer":3},{"info":"⫏≰10102221⨂≜⫏≰2001211=NaN","layer":3},{"info":"NaN⨭⪣NaN=⫏≰-210","layer":2},{"info":"↣≠⋷⫏≰-210=NaN","layer":1},{"info":"⫏≰1200001⩧⪆⫏≰22102222=⫏≰-22102222","layer":3},{"info":"∂⫏≰11121201=NaN","layer":3},{"info":"⫏≰-22102222⪶≀⋏NaN=NaN","layer":2},{"info":"⫏≰22212111∕⩚⫏≰12011110=⫏≰-22212121","layer":3},{"info":"⇜⊴⫏≰-22212121=⫏≰-101012020021","layer":2},{"info":"NaN⪚⫏≰-101012020021=NaN","layer":1},{"info":"NaN⩧⪆NaN=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"((($8548$⩼⇪↪$1694$)⩅⪻⪻)⫯⪬∳((↩⪖$1414$)⪒$3053$⊮⊟↴$3097$))⩖⊿((→⩰$4769$)⩧⪆(⋠∜$1594$))≁((≱⇩⩕$3328$)⪨≂(∨∊⋏$2539$))","expression":"(((⫏≰102201121⩼⇪↪⫏≰2022202)⩅⪻⪻)⫯⪬∳((↩⪖⫏≰1221101)⪒⫏≰11012002⊮⊟↴⫏≰11020201))⩖⊿((→⩰⫏≰20112122)⩧⪆(⋠∜⫏≰2012001))≁((≱⇩⩕⫏≰11120021)⪨≂(∨∊⋏⫏≰10111001))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5921,"operation_count":14,"complexity_ratio":422.92857142857144,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":8548,"base":3},"right_expr":{"type":"numeric_atoms","value":1694,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1414,"base":3}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3053,"base":3},"right_expr":{"type":"numeric_atoms","value":3097,"base":3}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4769,"base":3}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1594,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":3328,"base":3}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2539,"base":3}}}}},"used_operators":["RZ5CV9rWsJ","d7ASUq0ydm","kHoXpA7yos","ocnLzx9CaJ","f6k1SAg4EE","fG6uBQFnGz","QDVgd2eftb","8N2wDY1A35","Ikt5ks8PT7","o8Pngz0Tml","ZJpFhNJr3x","sdazOOVcIp","3DZMoQKiUl","R5aXW34M0v"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⫏≰-2001010112210111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8548","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=8548, right_input=1694, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=4455","layer":3},{"info":"compute unary expreesion, input=4455, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-658765","layer":2},{"info":"number node, value=1414","layer":4},{"info":"compute unary expreesion, input=1414, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-11466","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=3097, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-11466, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=11466","layer":2},{"info":"compute binary expreesion, left_input=-658765, right_input=11466, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1975822","layer":1},{"info":"number node, value=4769","layer":4},{"info":"compute unary expreesion, input=4769, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=8660","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8660, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-8660","layer":2},{"info":"number node, value=3328","layer":4},{"info":"compute unary expreesion, input=3328, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=47735","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=47735, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-95142","layer":2},{"info":"compute binary expreesion, left_input=-8660, right_input=-95142, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-2674465","layer":1},{"info":"compute binary expreesion, left_input=1975822, right_input=-2674465, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-29299090","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰102201121⩼⇪↪⫏≰2022202)⩅⪻⪻)⫯⪬∳((↩⪖⫏≰1221101)⪒⫏≰11012002⊮⊟↴⫏≰11020201))⩖⊿((→⩰⫏≰20112122)⩧⪆(⋠∜⫏≰2012001))≁((≱⇩⩕⫏≰11120021)⪨≂(∨∊⋏⫏≰10111001))=⫏≰-2001010112210111","reverse_text":"⫏≰-2001010112210111=(((⫏≰102201121⩼⇪↪⫏≰2022202)⩅⪻⪻)⫯⪬∳((↩⪖⫏≰1221101)⪒⫏≰11012002⊮⊟↴⫏≰11020201))⩖⊿((→⩰⫏≰20112122)⩧⪆(⋠∜⫏≰2012001))≁((≱⇩⩕⫏≰11120021)⪨≂(∨∊⋏⫏≰10111001))","cot":[{"info":"⫏≰102201121⩼⇪↪⫏≰2022202=⫏≰20010000","layer":3},{"info":"⫏≰20010000⩅⪻⪻=⫏≰-1020110122201","layer":2},{"info":"↩⪖⫏≰1221101=⫏≰-120201200","layer":3},{"info":"⫏≰11012002⊮⊟↴⫏≰11020201=⫏≰0","layer":3},{"info":"⫏≰-120201200⪒⫏≰0=⫏≰120201200","layer":2},{"info":"⫏≰-1020110122201⫯⪬∳⫏≰120201200=⫏≰10201101022121","layer":1},{"info":"→⩰⫏≰20112122=NaN","layer":3},{"info":"⋠∜⫏≰2012001=⫏≰102212202","layer":3},{"info":"NaN⩧⪆⫏≰102212202=⫏≰-102212202","layer":2},{"info":"≱⇩⩕⫏≰11120021=⫏≰11012","layer":3},{"info":"∨∊⋏⫏≰10111001=⫏≰2102110222","layer":3},{"info":"⫏≰11012⪨≂⫏≰2102110222=⫏≰-11211111210","layer":2},{"info":"⫏≰-102212202≁⫏≰-11211111210=⫏≰-12000212200021","layer":1},{"info":"⫏≰10201101022121⩖⊿⫏≰-12000212200021=⫏≰-2001010112210111","layer":0}]}
{"id":480,"expression_no_base_symbol":"((⇐($1079$⪥$1008$))⪛⫼$1433$∛$2481$⨎($2037$↸$1062$))⊕∕(($1363$⨸⪁$3168$/$3308$⫸⇳$1114$)⨳⩥⨓($3696$∣$4359$⨳⩥⨓$2571$∝$1097$))","expression":"((⇐(⫏≰1110222⪥⫏≰1101100))⪛⫼⫏≰1222002∛⫏≰10101220⨎(⫏≰2210110↸⫏≰1110100))⊕∕((⫏≰1212111⨸⪁⫏≰11100100/⫏≰11112112⫸⇳⫏≰1112021)⨳⩥⨓(⫏≰12001220∣⫏≰12222110⨳⩥⨓⫏≰10112020∝⫏≰1111122))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1476,"operation_count":14,"complexity_ratio":105.42857142857143,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1079,"base":3},"right_expr":{"type":"numeric_atoms","value":1008,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1433,"base":3},"right_expr":{"type":"numeric_atoms","value":2481,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2037,"base":3},"right_expr":{"type":"numeric_atoms","value":1062,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1363,"base":3},"right_expr":{"type":"numeric_atoms","value":3168,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3308,"base":3},"right_expr":{"type":"numeric_atoms","value":1114,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3696,"base":3},"right_expr":{"type":"numeric_atoms","value":4359,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2571,"base":3},"right_expr":{"type":"numeric_atoms","value":1097,"base":3}}}}},"used_operators":["9cloC0Ngie","hyuBjUqXlG","nmZMaaE0Q9","QbnwKVWMIQ","rJVOvQCfKK","w2537kitQq","1eCjFl0mb9","nCS4ZIUYfx","XhwjNDsVaA","g55IO6H4Gj","gx7XJ7hdpj","PPChnnnBFF","cTDWOvIxvz"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⫏≰1022212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=1008, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=8968","layer":3},{"info":"compute unary expreesion, input=8968, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=7030","layer":2},{"info":"number node, value=1433","layer":4},{"info":"number node, value=2481","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=2481, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=1062, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2037","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=2037, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2037","layer":2},{"info":"compute binary expreesion, left_input=7030, right_input=2037, 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=1363","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=3168, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9062","layer":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=1114, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9062, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3696","layer":4},{"info":"number node, value=4359","layer":4},{"info":"compute binary expreesion, left_input=3696, right_input=4359, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3696","layer":3},{"info":"number node, value=2571","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=2571, right_input=1097, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2576","layer":3},{"info":"compute binary expreesion, left_input=3696, right_input=2576, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1120","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1120, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=968","layer":0}],"base":3,"result_base":3,"text":"((⇐(⫏≰1110222⪥⫏≰1101100))⪛⫼⫏≰1222002∛⫏≰10101220⨎(⫏≰2210110↸⫏≰1110100))⊕∕((⫏≰1212111⨸⪁⫏≰11100100/⫏≰11112112⫸⇳⫏≰1112021)⨳⩥⨓(⫏≰12001220∣⫏≰12222110⨳⩥⨓⫏≰10112020∝⫏≰1111122))=⫏≰1022212","reverse_text":"⫏≰1022212=((⇐(⫏≰1110222⪥⫏≰1101100))⪛⫼⫏≰1222002∛⫏≰10101220⨎(⫏≰2210110↸⫏≰1110100))⊕∕((⫏≰1212111⨸⪁⫏≰11100100/⫏≰11112112⫸⇳⫏≰1112021)⨳⩥⨓(⫏≰12001220∣⫏≰12222110⨳⩥⨓⫏≰10112020∝⫏≰1111122))","cot":[{"info":"⫏≰1110222⪥⫏≰1101100=⫏≰110022011","layer":3},{"info":"⇐⫏≰110022011=⫏≰100122101","layer":2},{"info":"⫏≰1222002∛⫏≰10101220=⫏≰-220211","layer":3},{"info":"⫏≰2210110↸⫏≰1110100=⫏≰2210110","layer":3},{"info":"⫏≰-220211⨎⫏≰2210110=⫏≰2210110","layer":2},{"info":"⫏≰100122101⪛⫼⫏≰2210110=⫏≰1022212","layer":1},{"info":"⫏≰1212111⨸⪁⫏≰11100100=⫏≰110102122","layer":3},{"info":"⫏≰11112112⫸⇳⫏≰1112021=⫏≰0","layer":3},{"info":"⫏≰110102122/⫏≰0=NaN","layer":2},{"info":"⫏≰12001220∣⫏≰12222110=⫏≰12001220","layer":3},{"info":"⫏≰10112020∝⫏≰1111122=⫏≰10112102","layer":3},{"info":"⫏≰12001220⨳⩥⨓⫏≰10112102=⫏≰-1112111","layer":2},{"info":"NaN⨳⩥⨓⫏≰-1112111=NaN","layer":1},{"info":"⫏≰1022212⊕∕NaN=⫏≰1022212","layer":0}]}
{"id":481,"expression_no_base_symbol":"((∤↝$1790$⨚$3828$)⨭⪣(⪨⨬(∤↝$5323$)))≚⊃≕(($9681$⇷$2805$⋷$2026$⊬⨰$5972$)⋻⩜⩜($5204$⪒$1782$)↬($5835$⨑≵⋬$3346$))","expression":"((∤↝⫏≰2110022⨚⫏≰12020210)⨭⪣(⪨⨬(∤↝⫏≰21022011)))≚⊃≕((⫏≰111021120⇷⫏≰10211220⋷⫏≰2210001⊬⨰⫏≰22012012)⋻⩜⩜(⫏≰21010202⪒⫏≰2110000)↬(⫏≰22000010⨑≵⋬⫏≰11120221))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":135682,"operation_count":13,"complexity_ratio":10437.076923076924,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1790,"base":3},"right_expr":{"type":"numeric_atoms","value":3828,"base":3}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":5323,"base":3}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":9681,"base":3},"right_expr":{"type":"numeric_atoms","value":2805,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2026,"base":3},"right_expr":{"type":"numeric_atoms","value":5972,"base":3}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5204,"base":3},"right_expr":{"type":"numeric_atoms","value":1782,"base":3}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5835,"base":3},"right_expr":{"type":"numeric_atoms","value":3346,"base":3}}}}},"used_operators":["Bmrmz2XGnR","kn8WO9XteQ","3UMq87Qwqg","nREPSIbpBE","5obUd6DV38","oDCm7WA9JY","23Mk6UjR3U","mp7IySMOzn","s3Fd5m9Dh2","B5M0gjZbta","f6k1SAg4EE","XnXgA4xnOs"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","BjRHVeLaeN","12rbrZMWeM","T2fj7uvVaJ","nlCqmYiOvY","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⫏≰-110121100212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1790","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=3828, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-10798","layer":3},{"info":"compute unary expreesion, input=-10798, 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=-10798","layer":2},{"info":"number node, value=5323","layer":4},{"info":"compute unary expreesion, input=5323, 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=5323","layer":3},{"info":"compute unary expreesion, input=5323, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=-10798, right_input=-526, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=10003","layer":1},{"info":"number node, value=9681","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=9681, right_input=2805, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5610","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=5972","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=5972, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=24858","layer":3},{"info":"compute binary expreesion, left_input=5610, right_input=24858, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=44106","layer":2},{"info":"number node, value=5204","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=5204, right_input=1782, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6986","layer":3},{"info":"number node, value=5835","layer":4},{"info":"number node, value=3346","layer":4},{"info":"compute binary expreesion, left_input=5835, right_input=3346, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=7132","layer":3},{"info":"compute binary expreesion, left_input=-6986, right_input=7132, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=44106, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=88212","layer":1},{"info":"compute binary expreesion, left_input=10003, right_input=88212, 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=-248126","layer":0}],"base":3,"result_base":3,"text":"((∤↝⫏≰2110022⨚⫏≰12020210)⨭⪣(⪨⨬(∤↝⫏≰21022011)))≚⊃≕((⫏≰111021120⇷⫏≰10211220⋷⫏≰2210001⊬⨰⫏≰22012012)⋻⩜⩜(⫏≰21010202⪒⫏≰2110000)↬(⫏≰22000010⨑≵⋬⫏≰11120221))=⫏≰-110121100212","reverse_text":"⫏≰-110121100212=((∤↝⫏≰2110022⨚⫏≰12020210)⨭⪣(⪨⨬(∤↝⫏≰21022011)))≚⊃≕((⫏≰111021120⇷⫏≰10211220⋷⫏≰2210001⊬⨰⫏≰22012012)⋻⩜⩜(⫏≰21010202⪒⫏≰2110000)↬(⫏≰22000010⨑≵⋬⫏≰11120221))","cot":[{"info":"⫏≰2110022⨚⫏≰12020210=⫏≰-112210221","layer":3},{"info":"∤↝⫏≰-112210221=⫏≰-112210221","layer":2},{"info":"∤↝⫏≰21022011=⫏≰21022011","layer":3},{"info":"⪨⨬⫏≰21022011=⫏≰-201111","layer":2},{"info":"⫏≰-112210221⨭⪣⫏≰-201111=⫏≰111201111","layer":1},{"info":"⫏≰111021120⇷⫏≰10211220=⫏≰21200210","layer":3},{"info":"⫏≰2210001⊬⨰⫏≰22012012=⫏≰1021002200","layer":3},{"info":"⫏≰21200210⋷⫏≰1021002200=⫏≰2020111120","layer":2},{"info":"⫏≰21010202⪒⫏≰2110000=⫏≰-100120202","layer":3},{"info":"⫏≰22000010⨑≵⋬⫏≰11120221=⫏≰100210011","layer":3},{"info":"⫏≰-100120202↬⫏≰100210011=NaN","layer":2},{"info":"⫏≰2020111120⋻⩜⩜NaN=⫏≰11111000010","layer":1},{"info":"⫏≰111201111≚⊃≕⫏≰11111000010=⫏≰-110121100212","layer":0}]}
{"id":482,"expression_no_base_symbol":"⇘(($6754$∋$2076$)⫁($3023$⫔⩽⩺$2702$)⫯⪬∳((⊥$2308$)⪗))","expression":"⇘((⫏≰100021011∋⫏≰2211220)⫁(⫏≰11010222⫔⩽⩺⫏≰10201002)⫯⪬∳((⊥⫏≰10011111)⪗))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1363,"operation_count":7,"complexity_ratio":194.71428571428572,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":6754,"base":3},"right_expr":{"type":"numeric_atoms","value":2076,"base":3}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3023,"base":3},"right_expr":{"type":"numeric_atoms","value":2702,"base":3}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2308,"base":3}}}}},"used_operators":["MGuIdZPyUC","d7ASUq0ydm","0ajvFaJAv0","ukq6epAj5P","i9eR4S00cU","VEQNXA0ZBg","Q3PJZHRvZv"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","cHh1gJQ2o6","AHs5Up7iyr","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","Tw270M8GLb","fu6greOZ01","dWAJyo7jo9","fu6greOZ01"],"result":"⫏≰-201010210211211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6754","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=6754, right_input=2076, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4599008","layer":3},{"info":"number node, value=3023","layer":4},{"info":"number node, value=2702","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=2702, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4599008, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=2308","layer":4},{"info":"compute unary expreesion, input=2308, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=547","layer":1},{"info":"compute unary expreesion, input=547, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-10172353","layer":0}],"base":3,"result_base":3,"text":"⇘((⫏≰100021011∋⫏≰2211220)⫁(⫏≰11010222⫔⩽⩺⫏≰10201002)⫯⪬∳((⊥⫏≰10011111)⪗))=⫏≰-201010210211211","reverse_text":"⫏≰-201010210211211=⇘((⫏≰100021011∋⫏≰2211220)⫁(⫏≰11010222⫔⩽⩺⫏≰10201002)⫯⪬∳((⊥⫏≰10011111)⪗))","cot":[{"info":"⫏≰100021011∋⫏≰2211220=⫏≰22122122122122","layer":3},{"info":"⫏≰11010222⫔⩽⩺⫏≰10201002=NaN","layer":3},{"info":"⫏≰22122122122122⫁NaN=⫏≰12221","layer":2},{"info":"⊥⫏≰10011111=NaN","layer":3},{"info":"NaN⪗=NaN","layer":2},{"info":"⫏≰12221⫯⪬∳NaN=⫏≰202021","layer":1},{"info":"⇘⫏≰202021=⫏≰-201010210211211","layer":0}]}
{"id":483,"expression_no_base_symbol":"((≸≮$2875$)∼($2562$∀⇚≩$4579$)⨐⩸⫘(⊀$8428$⨜⨶$1475$))⋕⪉⪜(($2120$⨸$2092$)⫑%∭)⋕⪉⪜(($1937$∺≝⩲$3672$)⫣⪄⊒($2794$⊹∫⫚$7116$))","expression":"((≸≮⫏≰10221111)∼(⫏≰10111220∀⇚≩⫏≰20021121)⨐⩸⫘(⊀⫏≰102120011⨜⨶⫏≰2000122))⋕⪉⪜((⫏≰2220112⨸⫏≰2212111)⫑%∭)⋕⪉⪜((⫏≰2122202∺≝⩲⫏≰12001000)⫣⪄⊒(⫏≰10211111⊹∫⫚⫏≰100202120))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31287,"operation_count":13,"complexity_ratio":2406.6923076923076,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2875,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2562,"base":3},"right_expr":{"type":"numeric_atoms","value":4579,"base":3}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":8428,"base":3},"right_expr":{"type":"numeric_atoms","value":1475,"base":3}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2120,"base":3},"right_expr":{"type":"numeric_atoms","value":2092,"base":3}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1937,"base":3},"right_expr":{"type":"numeric_atoms","value":3672,"base":3}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2794,"base":3},"right_expr":{"type":"numeric_atoms","value":7116,"base":3}}}}},"used_operators":["z6LnFrNh4i","fu6greOZ01","DyGG3AbaNP","AljMvE3RRm","LRNGc0VcxI","oPMjh9089D","HiPekx5b7W","xUx7qlDO4z","KmoU8R5UQR","RabNbG55vr","KPf6cnQVty","uWAJUKEvyW"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","X99M06cbEe","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⫏≰21120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=2562","layer":4},{"info":"number node, value=4579","layer":4},{"info":"compute binary expreesion, left_input=2562, right_input=4579, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=8428","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=8428, right_input=1475, 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=-2694","layer":3},{"info":"compute unary expreesion, input=-2694, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=41193","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=41193, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2120","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=2092, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4240","layer":3},{"info":"compute unary expreesion, input=4240, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"number node, value=1937","layer":4},{"info":"number node, value=3672","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=3672, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2794","layer":4},{"info":"number node, value=7116","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=7116, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-48","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-48, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":3,"result_base":3,"text":"((≸≮⫏≰10221111)∼(⫏≰10111220∀⇚≩⫏≰20021121)⨐⩸⫘(⊀⫏≰102120011⨜⨶⫏≰2000122))⋕⪉⪜((⫏≰2220112⨸⫏≰2212111)⫑%∭)⋕⪉⪜((⫏≰2122202∺≝⩲⫏≰12001000)⫣⪄⊒(⫏≰10211111⊹∫⫚⫏≰100202120))=⫏≰21120","reverse_text":"⫏≰21120=((≸≮⫏≰10221111)∼(⫏≰10111220∀⇚≩⫏≰20021121)⨐⩸⫘(⊀⫏≰102120011⨜⨶⫏≰2000122))⋕⪉⪜((⫏≰2220112⨸⫏≰2212111)⫑%∭)⋕⪉⪜((⫏≰2122202∺≝⩲⫏≰12001000)⫣⪄⊒(⫏≰10211111⊹∫⫚⫏≰100202120))","cot":[{"info":"≸≮⫏≰10221111=NaN","layer":3},{"info":"⫏≰10111220∀⇚≩⫏≰20021121=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⫏≰102120011⨜⨶⫏≰2000122=⫏≰-10200210","layer":3},{"info":"⊀⫏≰-10200210=⫏≰2002111200","layer":2},{"info":"NaN⨐⩸⫘⫏≰2002111200=NaN","layer":1},{"info":"⫏≰2220112⨸⫏≰2212111=⫏≰12211001","layer":3},{"info":"⫏≰12211001⫑%∭=NaN","layer":2},{"info":"⫏≰2122202∺≝⩲⫏≰12001000=⫏≰12221","layer":3},{"info":"⫏≰10211111⊹∫⫚⫏≰100202120=⫏≰-1210","layer":3},{"info":"⫏≰12221⫣⪄⊒⫏≰-1210=⫏≰12221","layer":2},{"info":"NaN⋕⪉⪜⫏≰12221=⫏≰21120","layer":1},{"info":"NaN⋕⪉⪜⫏≰21120=⫏≰21120","layer":0}]}
{"id":484,"expression_no_base_symbol":"((≸$1115$⋥⋵⩄$1310$)⪉⨛($9164$⋳⪒$2830$∙∹∝$6646$⇮⋭$3565$))↓⨍⋜","expression":"((≸⫏≰1112022⋥⋵⩄⫏≰1210112)⪉⨛(⫏≰110120102⋳⪒⫏≰10212211∙∹∝⫏≰100010011⇮⋭⫏≰11220001))↓⨍⋜","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":428,"operation_count":7,"complexity_ratio":61.142857142857146,"tree":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1115,"base":3},"right_expr":{"type":"numeric_atoms","value":1310,"base":3}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":9164,"base":3},"right_expr":{"type":"numeric_atoms","value":2830,"base":3}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":6646,"base":3},"right_expr":{"type":"numeric_atoms","value":3565,"base":3}}}}},"used_operators":["3DVzLFNsE9","EWw2JM7wp4","eOf03JbCpp","7t3wd0Fuz7","HmxsFra2vL","12rbrZMWeM","vkpjKywKVM"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⫏≰100001002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1115","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1310, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":2},{"info":"number node, value=9164","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=9164, right_input=2830, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15211","layer":3},{"info":"number node, value=6646","layer":4},{"info":"number node, value=3565","layer":4},{"info":"compute binary expreesion, left_input=6646, right_input=3565, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=15211, right_input=-473, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=351, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1268","layer":1},{"info":"compute unary expreesion, input=1268, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":0}],"base":3,"result_base":3,"text":"((≸⫏≰1112022⋥⋵⩄⫏≰1210112)⪉⨛(⫏≰110120102⋳⪒⫏≰10212211∙∹∝⫏≰100010011⇮⋭⫏≰11220001))↓⨍⋜=⫏≰100001002","reverse_text":"⫏≰100001002=((≸⫏≰1112022⋥⋵⩄⫏≰1210112)⪉⨛(⫏≰110120102⋳⪒⫏≰10212211∙∹∝⫏≰100010011⇮⋭⫏≰11220001))↓⨍⋜","cot":[{"info":"⫏≰1112022⋥⋵⩄⫏≰1210112=⫏≰11012","layer":3},{"info":"≸⫏≰11012=⫏≰111000","layer":2},{"info":"⫏≰110120102⋳⪒⫏≰10212211=⫏≰202212101","layer":3},{"info":"⫏≰100010011⇮⋭⫏≰11220001=⫏≰-122112","layer":3},{"info":"⫏≰202212101∙∹∝⫏≰-122112=⫏≰0","layer":2},{"info":"⫏≰111000⪉⨛⫏≰0=⫏≰1201222","layer":1},{"info":"⫏≰1201222↓⨍⋜=⫏≰100001002","layer":0}]}
{"id":485,"expression_no_base_symbol":"($1665$⊱⇼⊻$2918$+⇶⊼$2360$⨚⇆$2960$)↓($1504$≬⇓$1468$)↞⋁($2740$⩣⫁∢$4423$)∝(∟⋨(($3960$⊉≛↸$1567$)≎⊠⪸$2696$∼$2582$))","expression":"(⫏≰2021200⊱⇼⊻⫏≰11000002+⇶⊼⫏≰10020102⨚⇆⫏≰11001122)↓(⫏≰2001201≬⇓⫏≰2000101)↞⋁(⫏≰10202111⩣⫁∢⫏≰20001211)∝(∟⋨((⫏≰12102200⊉≛↸⫏≰2011001)≎⊠⪸⫏≰10200212∼⫏≰10112122))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17315,"operation_count":12,"complexity_ratio":1442.9166666666667,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1665,"base":3},"right_expr":{"type":"numeric_atoms","value":2918,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2360,"base":3},"right_expr":{"type":"numeric_atoms","value":2960,"base":3}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1504,"base":3},"right_expr":{"type":"numeric_atoms","value":1468,"base":3}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2740,"base":3},"right_expr":{"type":"numeric_atoms","value":4423,"base":3}}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3960,"base":3},"right_expr":{"type":"numeric_atoms","value":1567,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2696,"base":3},"right_expr":{"type":"numeric_atoms","value":2582,"base":3}}}}},"used_operators":["cTDWOvIxvz","Af076pWI7l","TpPTUOHfaN","FyVja0WsTP","lwHaAYXP2r","RqrPlJkxDo","jWTQ2TZYIH","JDUIKTTSIa","ctOc4cKSDt","bJkvcejdHO","DZ8iAZOCBD","DyGG3AbaNP"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","AHs5Up7iyr","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫏≰202120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1665","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=2918, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=2360","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=2960, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1504","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=1468, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=2740","layer":4},{"info":"number node, value=4423","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=4423, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5319","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-5319, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=550","layer":1},{"info":"number node, value=3960","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=1567, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7920","layer":3},{"info":"number node, value=2696","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=2582, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7920, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=417","layer":1},{"info":"compute binary expreesion, left_input=550, right_input=417, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=555","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2021200⊱⇼⊻⫏≰11000002+⇶⊼⫏≰10020102⨚⇆⫏≰11001122)↓(⫏≰2001201≬⇓⫏≰2000101)↞⋁(⫏≰10202111⩣⫁∢⫏≰20001211)∝(∟⋨((⫏≰12102200⊉≛↸⫏≰2011001)≎⊠⪸⫏≰10200212∼⫏≰10112122))=⫏≰202120","reverse_text":"⫏≰202120=(⫏≰2021200⊱⇼⊻⫏≰11000002+⇶⊼⫏≰10020102⨚⇆⫏≰11001122)↓(⫏≰2001201≬⇓⫏≰2000101)↞⋁(⫏≰10202111⩣⫁∢⫏≰20001211)∝(∟⋨((⫏≰12102200⊉≛↸⫏≰2011001)≎⊠⪸⫏≰10200212∼⫏≰10112122))","cot":[{"info":"⫏≰2021200⊱⇼⊻⫏≰11000002=⫏≰121002","layer":3},{"info":"⫏≰10020102⨚⇆⫏≰11001122=NaN","layer":3},{"info":"⫏≰121002+⇶⊼NaN=NaN","layer":2},{"info":"⫏≰2001201≬⇓⫏≰2000101=⫏≰-211","layer":3},{"info":"⫏≰10202111⩣⫁∢⫏≰20001211=⫏≰-21022000","layer":3},{"info":"⫏≰-211↞⋁⫏≰-21022000=⫏≰-211","layer":2},{"info":"NaN↓⫏≰-211=⫏≰202101","layer":1},{"info":"⫏≰12102200⊉≛↸⫏≰2011001=⫏≰101212100","layer":3},{"info":"⫏≰10200212∼⫏≰10112122=NaN","layer":3},{"info":"⫏≰101212100≎⊠⪸NaN=⫏≰2111","layer":2},{"info":"∟⋨⫏≰2111=⫏≰120110","layer":1},{"info":"⫏≰202101∝⫏≰120110=⫏≰202120","layer":0}]}
{"id":486,"expression_no_base_symbol":"(⊗($3410$∼$1495$⇄($4442$⫔⩽⩺$6581$)))≬⋮(⊿$2862$⊴$1118$)⇻⋧≁($3572$≦↸$2922$⩘($1092$⋫))","expression":"(⊗(⫏≰11200022∼⫏≰2001101⇄(⫏≰20002112⫔⩽⩺⫏≰100000202)))≬⋮(⊿⫏≰10221000⊴⫏≰1112102)⇻⋧≁(⫏≰11220022≦↸⫏≰11000020⩘(⫏≰1111110⋫))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40269,"operation_count":11,"complexity_ratio":3660.818181818182,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3410,"base":3},"right_expr":{"type":"numeric_atoms","value":1495,"base":3}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4442,"base":3},"right_expr":{"type":"numeric_atoms","value":6581,"base":3}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2862,"base":3},"right_expr":{"type":"numeric_atoms","value":1118,"base":3}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3572,"base":3},"right_expr":{"type":"numeric_atoms","value":2922,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1092,"base":3}}}}},"used_operators":["kbkesczE7y","RhiyfpczSx","3EYGwJThht","DyGG3AbaNP","i9eR4S00cU","jCPkEVoL5K","DO4fhlbJSI","Nsiff2A1zJ","cHh1gJQ2o6","RygbFNSyEJ","JL8yIekQnl"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tw270M8GLb","fu6greOZ01","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3410","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=1495, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4442","layer":4},{"info":"number node, value=6581","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=6581, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":1},{"info":"number node, value=2862","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=1118, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":2},{"info":"number node, value=3572","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=2922, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12307","layer":3},{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1092","layer":3},{"info":"compute binary expreesion, left_input=-12307, right_input=1092, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊗(⫏≰11200022∼⫏≰2001101⇄(⫏≰20002112⫔⩽⩺⫏≰100000202)))≬⋮(⊿⫏≰10221000⊴⫏≰1112102)⇻⋧≁(⫏≰11220022≦↸⫏≰11000020⩘(⫏≰1111110⋫))=NaN","reverse_text":"NaN=(⊗(⫏≰11200022∼⫏≰2001101⇄(⫏≰20002112⫔⩽⩺⫏≰100000202)))≬⋮(⊿⫏≰10221000⊴⫏≰1112102)⇻⋧≁(⫏≰11220022≦↸⫏≰11000020⩘(⫏≰1111110⋫))","cot":[{"info":"⫏≰11200022∼⫏≰2001101=NaN","layer":3},{"info":"⫏≰20002112⫔⩽⩺⫏≰100000202=NaN","layer":3},{"info":"NaN⇄NaN=NaN","layer":2},{"info":"⊗NaN=NaN","layer":1},{"info":"⫏≰10221000⊴⫏≰1112102=NaN","layer":3},{"info":"⊿NaN=NaN","layer":2},{"info":"⫏≰11220022≦↸⫏≰11000020=⫏≰-121212211","layer":3},{"info":"⫏≰1111110⋫=⫏≰1111110","layer":3},{"info":"⫏≰-121212211⩘⫏≰1111110=⫏≰12221","layer":2},{"info":"NaN⇻⋧≁⫏≰12221=NaN","layer":1},{"info":"NaN≬⋮NaN=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"((⩪∧⨌$5173$)≚⊃≕$1367$∓⋝$2903$⩢≌)↱(⫡⇟⇯(($2671$⇚⪠)⇌⫙⪟$3779$⇷$2533$))","expression":"((⩪∧⨌⫏≰21002121)≚⊃≕⫏≰1212122∓⋝⫏≰10222112⩢≌)↱(⫡⇟⇯((⫏≰10122221⇚⪠)⇌⫙⪟⫏≰12011222⇷⫏≰10110211))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55961,"operation_count":9,"complexity_ratio":6217.888888888889,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":5173,"base":3}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1367,"base":3},"right_expr":{"type":"numeric_atoms","value":2903,"base":3}}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":2671,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3779,"base":3},"right_expr":{"type":"numeric_atoms","value":2533,"base":3}}}}},"used_operators":["SR5kFfdi6N","D617RFjZIq","Bmrmz2XGnR","6iOiAJX1F8","PoHhknlbAi","qWUSsah53b","AFVx7xoS7T","Loh9y4A90B","mp7IySMOzn"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","hTbEZDJLEm","o20kRiQErp","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DZ8iAZOCBD","P8v4zCKN1o","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫏≰-10210020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5173","layer":4},{"info":"compute unary expreesion, input=5173, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=51730","layer":3},{"info":"number node, value=1367","layer":4},{"info":"number node, value=2903","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=2903, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=51730, right_input=67, 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":2},{"info":"compute unary expreesion, input=67, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"number node, value=2671","layer":4},{"info":"compute unary expreesion, input=2671, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=14268482","layer":3},{"info":"number node, value=3779","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=3779, right_input=2533, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5066","layer":3},{"info":"compute binary expreesion, left_input=14268482, right_input=5066, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=1094","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=1094, 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=-2760","layer":0}],"base":3,"result_base":3,"text":"((⩪∧⨌⫏≰21002121)≚⊃≕⫏≰1212122∓⋝⫏≰10222112⩢≌)↱(⫡⇟⇯((⫏≰10122221⇚⪠)⇌⫙⪟⫏≰12011222⇷⫏≰10110211))=⫏≰-10210020","reverse_text":"⫏≰-10210020=((⩪∧⨌⫏≰21002121)≚⊃≕⫏≰1212122∓⋝⫏≰10222112⩢≌)↱(⫡⇟⇯((⫏≰10122221⇚⪠)⇌⫙⪟⫏≰12011222⇷⫏≰10110211))","cot":[{"info":"⩪∧⨌⫏≰21002121=⫏≰2121221221","layer":3},{"info":"⫏≰1212122∓⋝⫏≰10222112=⫏≰2111","layer":3},{"info":"⫏≰2121221221≚⊃≕⫏≰2111=⫏≰2111","layer":2},{"info":"⫏≰2111⩢≌=⫏≰11012","layer":1},{"info":"⫏≰10122221⇚⪠=⫏≰222211220200022","layer":3},{"info":"⫏≰12011222⇷⫏≰10110211=⫏≰20221122","layer":3},{"info":"⫏≰222211220200022⇌⫙⪟⫏≰20221122=⫏≰11012","layer":2},{"info":"⫡⇟⇯⫏≰11012=⫏≰1111112","layer":1},{"info":"⫏≰11012↱⫏≰1111112=⫏≰-10210020","layer":0}]}
{"id":488,"expression_no_base_symbol":"⊗(⊈($3913$⪍↜⋙$1650$⫃⨇$2132$⫸⊐$1376$))","expression":"⊗(⊈(⫏≰12100221⪍↜⋙⫏≰2021010⫃⨇⫏≰2220222⫸⊐⫏≰1212222))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":79,"operation_count":5,"complexity_ratio":15.8,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3913,"base":3},"right_expr":{"type":"numeric_atoms","value":1650,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2132,"base":3},"right_expr":{"type":"numeric_atoms","value":1376,"base":3}}}}},"used_operators":["RhiyfpczSx","RHru8klgy8","09Ly4LVMIf","L05ObWFQCd","mqXw5SEYmG"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","12rbrZMWeM","xUOZtlo3hN","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰-2011122021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3913","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=3913, right_input=1650, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4526","layer":3},{"info":"number node, value=2132","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=1376, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5379","layer":3},{"info":"compute binary expreesion, left_input=4526, right_input=5379, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-21548","layer":2},{"info":"compute unary expreesion, input=-21548, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=21374","layer":1},{"info":"compute unary expreesion, input=21374, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-42748","layer":0}],"base":3,"result_base":3,"text":"⊗(⊈(⫏≰12100221⪍↜⋙⫏≰2021010⫃⨇⫏≰2220222⫸⊐⫏≰1212222))=⫏≰-2011122021","reverse_text":"⫏≰-2011122021=⊗(⊈(⫏≰12100221⪍↜⋙⫏≰2021010⫃⨇⫏≰2220222⫸⊐⫏≰1212222))","cot":[{"info":"⫏≰12100221⪍↜⋙⫏≰2021010=⫏≰20012122","layer":3},{"info":"⫏≰2220222⫸⊐⫏≰1212222=⫏≰21101020","layer":3},{"info":"⫏≰20012122⫃⨇⫏≰21101020=⫏≰-1002120002","layer":2},{"info":"⊈⫏≰-1002120002=⫏≰1002022122","layer":1},{"info":"⊗⫏≰1002022122=⫏≰-2011122021","layer":0}]}
{"id":489,"expression_no_base_symbol":"((↓⇌$1024$)⪎⩰)⇤((⊬↢$2803$)≥⨤⩑$5869$≠≀$1389$)≬⇓($6472$⪇≇⋚$1402$)⩌⋺($2477$↡⊰⫅$2641$)∠↢(≘($4181$∙∹∝$3802$))","expression":"((↓⇌⫏≰1101221)⪎⩰)⇤((⊬↢⫏≰10211211)≥⨤⩑⫏≰22001101≠≀⫏≰1220110)≬⇓(⫏≰22212201⪇≇⋚⫏≰1220221)⩌⋺(⫏≰10101202↡⊰⫅⫏≰10121211)∠↢(≘(⫏≰12201212∙∹∝⫏≰12012211))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":200051,"operation_count":13,"complexity_ratio":15388.538461538461,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1024,"base":3}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2803,"base":3}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5869,"base":3},"right_expr":{"type":"numeric_atoms","value":1389,"base":3}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6472,"base":3},"right_expr":{"type":"numeric_atoms","value":1402,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2477,"base":3},"right_expr":{"type":"numeric_atoms","value":2641,"base":3}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4181,"base":3},"right_expr":{"type":"numeric_atoms","value":3802,"base":3}}}}},"used_operators":["jWTQ2TZYIH","YSKBFp38Pu","2ufhKmSs5H","PxpmPgHHJV","gJLn6v0xnP","WPoGxAaPR1","IwW236VD4Y","KbjG8mgYpV","g7Hmc5v1ko","3sJ7IOPOlU","VCtxkLNOzz","tcjXMdvYtA","HmxsFra2vL"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⫏≰-211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1024","layer":3},{"info":"compute unary expreesion, input=1024, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":2},{"info":"number node, value=2803","layer":4},{"info":"compute unary expreesion, input=2803, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=5869","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=5869, right_input=1389, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11432","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=-11432, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=436","layer":2},{"info":"compute binary expreesion, left_input=-34, right_input=436, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=838","layer":1},{"info":"number node, value=6472","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=6472, right_input=1402, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2477","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=2641, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5282","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5282, 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=-5403","layer":2},{"info":"number node, value=4181","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=3802, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=-262","layer":2},{"info":"compute binary expreesion, left_input=-5403, right_input=-262, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=26362","layer":1},{"info":"compute binary expreesion, left_input=838, right_input=26362, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":3,"result_base":3,"text":"((↓⇌⫏≰1101221)⪎⩰)⇤((⊬↢⫏≰10211211)≥⨤⩑⫏≰22001101≠≀⫏≰1220110)≬⇓(⫏≰22212201⪇≇⋚⫏≰1220221)⩌⋺(⫏≰10101202↡⊰⫅⫏≰10121211)∠↢(≘(⫏≰12201212∙∹∝⫏≰12012211))=⫏≰-211","reverse_text":"⫏≰-211=((↓⇌⫏≰1101221)⪎⩰)⇤((⊬↢⫏≰10211211)≥⨤⩑⫏≰22001101≠≀⫏≰1220110)≬⇓(⫏≰22212201⪇≇⋚⫏≰1220221)⩌⋺(⫏≰10101202↡⊰⫅⫏≰10121211)∠↢(≘(⫏≰12201212∙∹∝⫏≰12012211))","cot":[{"info":"↓⇌⫏≰1101221=⫏≰1101221","layer":3},{"info":"⫏≰1101221⪎⩰=⫏≰-1021","layer":2},{"info":"⊬↢⫏≰10211211=⫏≰22002","layer":3},{"info":"⫏≰22001101≠≀⫏≰1220110=⫏≰-120200102","layer":3},{"info":"⫏≰22002≥⨤⩑⫏≰-120200102=⫏≰121011","layer":2},{"info":"⫏≰-1021⇤⫏≰121011=⫏≰1011001","layer":1},{"info":"⫏≰22212201⪇≇⋚⫏≰1220221=⫏≰0","layer":3},{"info":"⫏≰10101202↡⊰⫅⫏≰10121211=⫏≰21020122","layer":3},{"info":"⫏≰0⩌⋺⫏≰21020122=⫏≰-21102010","layer":2},{"info":"⫏≰12201212∙∹∝⫏≰12012211=⫏≰0","layer":3},{"info":"≘⫏≰0=⫏≰-100201","layer":2},{"info":"⫏≰-21102010∠↢⫏≰-100201=⫏≰1100011101","layer":1},{"info":"⫏≰1011001≬⇓⫏≰1100011101=⫏≰-211","layer":0}]}
{"id":490,"expression_no_base_symbol":"(⩦⩻⨪(≑⋹$5999$)↳≱($5817$≹⇙⪍$2732$))⫉⨲⊜((≉$6434$⩍⋽⫝̸$8213$)∑⇟⊟($2101$⪍↜⋙$4278$⪉⨛$1722$∛$1438$))","expression":"(⩦⩻⨪(≑⋹⫏≰22020012)↳≱(⫏≰21222110≹⇙⪍⫏≰10202012))⫉⨲⊜((≉⫏≰22211022⩍⋽⫝̸⫏≰102021012)∑⇟⊟(⫏≰2212211⪍↜⋙⫏≰12212110⪉⨛⫏≰2100210∛⫏≰1222021))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":305,"operation_count":11,"complexity_ratio":27.727272727272727,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":5999,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5817,"base":3},"right_expr":{"type":"numeric_atoms","value":2732,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":6434,"base":3},"right_expr":{"type":"numeric_atoms","value":8213,"base":3}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2101,"base":3},"right_expr":{"type":"numeric_atoms","value":4278,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1722,"base":3},"right_expr":{"type":"numeric_atoms","value":1438,"base":3}}}}},"used_operators":["WhqkvtTD3t","2td37pGCOC","JwTKLfZU96","6B9nyZLogK","AHs5Up7iyr","U7g4x0WXJJ","e1ybzncUwg","BiWNJpBvwn","EWw2JM7wp4","L05ObWFQCd","w2537kitQq"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5999","layer":4},{"info":"compute unary expreesion, input=5999, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=5817","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=5817, right_input=2732, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=6434","layer":4},{"info":"number node, value=8213","layer":4},{"info":"compute binary expreesion, left_input=6434, right_input=8213, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7267","layer":3},{"info":"compute unary expreesion, input=7267, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7798","layer":2},{"info":"number node, value=2101","layer":4},{"info":"number node, value=4278","layer":4},{"info":"compute binary expreesion, left_input=2101, right_input=4278, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-19844","layer":3},{"info":"number node, value=1722","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=1438, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-19844, right_input=67, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-59518","layer":2},{"info":"compute binary expreesion, left_input=7798, right_input=-59518, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⩦⩻⨪(≑⋹⫏≰22020012)↳≱(⫏≰21222110≹⇙⪍⫏≰10202012))⫉⨲⊜((≉⫏≰22211022⩍⋽⫝̸⫏≰102021012)∑⇟⊟(⫏≰2212211⪍↜⋙⫏≰12212110⪉⨛⫏≰2100210∛⫏≰1222021))=⫏≰0","reverse_text":"⫏≰0=(⩦⩻⨪(≑⋹⫏≰22020012)↳≱(⫏≰21222110≹⇙⪍⫏≰10202012))⫉⨲⊜((≉⫏≰22211022⩍⋽⫝̸⫏≰102021012)∑⇟⊟(⫏≰2212211⪍↜⋙⫏≰12212110⪉⨛⫏≰2100210∛⫏≰1222021))","cot":[{"info":"≑⋹⫏≰22020012=⫏≰2021010","layer":3},{"info":"⫏≰21222110≹⇙⪍⫏≰10202012=NaN","layer":3},{"info":"⫏≰2021010↳≱NaN=⫏≰0","layer":2},{"info":"⩦⩻⨪⫏≰0=⫏≰0","layer":1},{"info":"⫏≰22211022⩍⋽⫝̸⫏≰102021012=⫏≰100222011","layer":3},{"info":"≉⫏≰100222011=⫏≰101200211","layer":2},{"info":"⫏≰2212211⪍↜⋙⫏≰12212110=⫏≰-1000012222","layer":3},{"info":"⫏≰2100210∛⫏≰1222021=⫏≰2111","layer":3},{"info":"⫏≰-1000012222⪉⨛⫏≰2111=⫏≰-10000122101","layer":2},{"info":"⫏≰101200211∑⇟⊟⫏≰-10000122101=NaN","layer":1},{"info":"⫏≰0⫉⨲⊜NaN=⫏≰0","layer":0}]}
{"id":491,"expression_no_base_symbol":"($2173$⫉⨲⊜$1086$⨚⇆$4098$⫒⫫$1284$⋓($2697$⇮⋭$1156$)≝⊿($4383$⫰⋱$8304$))≴⪞⇿((≇⪴($2073$⪹))⪍↜⋙($2081$⋛$3733$⊋≦⊧($1034$⇮⋭$4634$)))","expression":"(⫏≰2222111⫉⨲⊜⫏≰1111020⨚⇆⫏≰12121210⫒⫫⫏≰1202120⋓(⫏≰10200220⇮⋭⫏≰1120211)≝⊿(⫏≰20000100⫰⋱⫏≰102101120))≴⪞⇿((≇⪴(⫏≰2211210⪹))⪍↜⋙(⫏≰2212002⋛⫏≰12010021⊋≦⊧(⫏≰1102022⇮⋭⫏≰20100122)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":717,"operation_count":14,"complexity_ratio":51.214285714285715,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2173,"base":3},"right_expr":{"type":"numeric_atoms","value":1086,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4098,"base":3},"right_expr":{"type":"numeric_atoms","value":1284,"base":3}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2697,"base":3},"right_expr":{"type":"numeric_atoms","value":1156,"base":3}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4383,"base":3},"right_expr":{"type":"numeric_atoms","value":8304,"base":3}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2073,"base":3}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2081,"base":3},"right_expr":{"type":"numeric_atoms","value":3733,"base":3}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1034,"base":3},"right_expr":{"type":"numeric_atoms","value":4634,"base":3}}}}},"used_operators":["lvlrscuwVU","T2fj7uvVaJ","lwHaAYXP2r","WhqkvtTD3t","6Ko8hGgeMq","OKKcZfAt5B","vkpjKywKVM","6o9Blt3TJ6","L05ObWFQCd","zoVPnxeHJ3","B3sABdIn96","oRDoc9rAEX","YbUVn0Rbpy"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eewbuw0ToL","zVYPLywUTj","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","12rbrZMWeM","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⫏≰-20011200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2173","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=1086, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=4098","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=1284, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"number node, value=2697","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=2697, right_input=1156, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=4383","layer":4},{"info":"number node, value=8304","layer":4},{"info":"compute binary expreesion, left_input=4383, right_input=8304, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4350","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-4350, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=8640","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=8640, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=2073","layer":4},{"info":"compute unary expreesion, input=2073, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=8638","layer":3},{"info":"compute unary expreesion, input=8638, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-24574","layer":2},{"info":"number node, value=2081","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=3733, 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=-113463","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=4634","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=4634, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-113463, right_input=-473, 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=192","layer":2},{"info":"compute binary expreesion, left_input=-24574, right_input=192, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=121703","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=121703, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-4500","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2222111⫉⨲⊜⫏≰1111020⨚⇆⫏≰12121210⫒⫫⫏≰1202120⋓(⫏≰10200220⇮⋭⫏≰1120211)≝⊿(⫏≰20000100⫰⋱⫏≰102101120))≴⪞⇿((≇⪴(⫏≰2211210⪹))⪍↜⋙(⫏≰2212002⋛⫏≰12010021⊋≦⊧(⫏≰1102022⇮⋭⫏≰20100122)))=⫏≰-20011200","reverse_text":"⫏≰-20011200=(⫏≰2222111⫉⨲⊜⫏≰1111020⨚⇆⫏≰12121210⫒⫫⫏≰1202120⋓(⫏≰10200220⇮⋭⫏≰1120211)≝⊿(⫏≰20000100⫰⋱⫏≰102101120))≴⪞⇿((≇⪴(⫏≰2211210⪹))⪍↜⋙(⫏≰2212002⋛⫏≰12010021⊋≦⊧(⫏≰1102022⇮⋭⫏≰20100122)))","cot":[{"info":"⫏≰2222111⫉⨲⊜⫏≰1111020=⫏≰0","layer":3},{"info":"⫏≰12121210⫒⫫⫏≰1202120=NaN","layer":3},{"info":"⫏≰0⨚⇆NaN=-Inf","layer":2},{"info":"⫏≰10200220⇮⋭⫏≰1120211=⫏≰-122112","layer":3},{"info":"⫏≰20000100⫰⋱⫏≰102101120=⫏≰-12222010","layer":3},{"info":"⫏≰-122112≝⊿⫏≰-12222010=⫏≰102212000","layer":2},{"info":"-Inf⋓⫏≰102212000=⫏≰0","layer":1},{"info":"⫏≰2211210⪹=⫏≰102211221","layer":3},{"info":"≇⪴⫏≰102211221=⫏≰-1020201011","layer":2},{"info":"⫏≰2212002⋛⫏≰12010021=⫏≰-12202122100","layer":3},{"info":"⫏≰1102022⇮⋭⫏≰20100122=⫏≰-122112","layer":3},{"info":"⫏≰-12202122100⊋≦⊧⫏≰-122112=⫏≰21010","layer":2},{"info":"⫏≰-1020201011⪍↜⋙⫏≰21010=⫏≰20011221112","layer":1},{"info":"⫏≰0≴⪞⇿⫏≰20011221112=⫏≰-20011200","layer":0}]}
{"id":492,"expression_no_base_symbol":"($3397$≁↽≥$3139$⇩)⊮⊟↴(($3370$⨔≚≋$5876$)⨚⇆($2418$⋹))⊋≦⊧(↨($2526$⩷∴$6978$)→⨶⪴($9303$⪁$1134$))","expression":"(⫏≰11122211≁↽≥⫏≰11022021⇩)⊮⊟↴((⫏≰11121211⨔≚≋⫏≰22001122)⨚⇆(⫏≰10022120⋹))⊋≦⊧(↨(⫏≰10110120⩷∴⫏≰100120110)→⨶⪴(⫏≰110202120⪁⫏≰1120000))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21576931,"operation_count":11,"complexity_ratio":1961539.1818181819,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3397,"base":3},"right_expr":{"type":"numeric_atoms","value":3139,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3370,"base":3},"right_expr":{"type":"numeric_atoms","value":5876,"base":3}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":2418,"base":3}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2526,"base":3},"right_expr":{"type":"numeric_atoms","value":6978,"base":3}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":9303,"base":3},"right_expr":{"type":"numeric_atoms","value":1134,"base":3}}}}},"used_operators":["oRDoc9rAEX","QDVgd2eftb","vRio1gEz1j","ncHt1X6cMc","lwHaAYXP2r","Z57zeUYC9z","opAxDRczMr","jiX4gk2v2Q","bF6eod5Gvf","9FxExcQeMw","I7sXao9hZE"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","oWn0xqSxBt","3Oe9XWJUTD","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","rGHVDoGpnC","oZj3VtZNQx","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3397","layer":4},{"info":"number node, value=3139","layer":4},{"info":"compute binary expreesion, left_input=3397, right_input=3139, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=47727","layer":3},{"info":"compute unary expreesion, input=47727, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=47820","layer":2},{"info":"number node, value=3370","layer":4},{"info":"number node, value=5876","layer":4},{"info":"compute binary expreesion, left_input=3370, right_input=5876, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2418","layer":4},{"info":"compute unary expreesion, input=2418, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-20, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=47820, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"number node, value=2526","layer":4},{"info":"number node, value=6978","layer":4},{"info":"compute binary expreesion, left_input=2526, right_input=6978, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8936","layer":3},{"info":"number node, value=9303","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=9303, right_input=1134, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8936, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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":3,"result_base":3,"text":"(⫏≰11122211≁↽≥⫏≰11022021⇩)⊮⊟↴((⫏≰11121211⨔≚≋⫏≰22001122)⨚⇆(⫏≰10022120⋹))⊋≦⊧(↨(⫏≰10110120⩷∴⫏≰100120110)→⨶⪴(⫏≰110202120⪁⫏≰1120000))=NaN","reverse_text":"NaN=(⫏≰11122211≁↽≥⫏≰11022021⇩)⊮⊟↴((⫏≰11121211⨔≚≋⫏≰22001122)⨚⇆(⫏≰10022120⋹))⊋≦⊧(↨(⫏≰10110120⩷∴⫏≰100120110)→⨶⪴(⫏≰110202120⪁⫏≰1120000))","cot":[{"info":"⫏≰11122211≁↽≥⫏≰11022021=⫏≰2102110200","layer":3},{"info":"⫏≰2102110200⇩=⫏≰2102121010","layer":2},{"info":"⫏≰11121211⨔≚≋⫏≰22001122=⫏≰111112122","layer":3},{"info":"⫏≰10022120⋹=⫏≰-202","layer":3},{"info":"⫏≰111112122⨚⇆⫏≰-202=NaN","layer":2},{"info":"⫏≰2102121010⊮⊟↴NaN=NaN","layer":1},{"info":"⫏≰10110120⩷∴⫏≰100120110=⫏≰-110020222","layer":3},{"info":"⫏≰110202120⪁⫏≰1120000=NaN","layer":3},{"info":"⫏≰-110020222→⨶⪴NaN=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"NaN⊋≦⊧NaN=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"(($2369$*$3488$)⨝⩣∺)⫯⪬∳($2838$⨘⋶⪀)≎⪠($4672$↡⊰⫅$3597$)⫦⪉(($5800$⊧↖)⩺⪪($1378$⫭))⩁⩘($3521$⊉↱≁$1456$)≁($6444$⫥∨⫟$4897$)","expression":"((⫏≰10020202*⫏≰11210012)⨝⩣∺)⫯⪬∳(⫏≰10220010⨘⋶⪀)≎⪠(⫏≰20102001↡⊰⫅⫏≰11221020)⫦⪉((⫏≰21221211⊧↖)⩺⪪(⫏≰1220001⫭))⩁⩘(⫏≰11211102⊉↱≁⫏≰1222221)≁(⫏≰22211200⫥∨⫟⫏≰20201101)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":78207,"operation_count":14,"complexity_ratio":5586.214285714285,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2369,"base":3},"right_expr":{"type":"numeric_atoms","value":3488,"base":3}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2838,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4672,"base":3},"right_expr":{"type":"numeric_atoms","value":3597,"base":3}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":5800,"base":3}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1378,"base":3}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3521,"base":3},"right_expr":{"type":"numeric_atoms","value":1456,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6444,"base":3},"right_expr":{"type":"numeric_atoms","value":4897,"base":3}}}}},"used_operators":["wscyQdcy20","d7ASUq0ydm","ancx8kZcWl","9HNa5Wba9A","aNhz54LH3e","XVKwrhznBb","VCtxkLNOzz","gub5Cegaqo","uvdQJvN4PV","EKiFHuOFxO","t4WUHVGj7f","8N2wDY1A35","w2P8NbNXyL","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DZ8iAZOCBD","t8gj7n24qd","W4YGzv6Whe","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DpFCA1CohY","IWmyXbctLI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫏≰-20220120101121221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2369","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=2369, right_input=3488, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8263072","layer":3},{"info":"compute unary expreesion, input=8263072, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-16526144","layer":2},{"info":"number node, value=2838","layer":4},{"info":"compute unary expreesion, input=2838, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=4672","layer":4},{"info":"number node, value=3597","layer":4},{"info":"compute binary expreesion, left_input=4672, right_input=3597, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=7194","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7194, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=-16526144, right_input=19558, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=49577959","layer":1},{"info":"number node, value=5800","layer":4},{"info":"compute unary expreesion, input=5800, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=201871928","layer":3},{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=4375","layer":3},{"info":"compute binary expreesion, left_input=201871928, right_input=4375, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-inf","layer":2},{"info":"number node, value=3521","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=3521, right_input=1456, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=26422","layer":3},{"info":"number node, value=6444","layer":4},{"info":"number node, value=4897","layer":4},{"info":"compute binary expreesion, left_input=6444, right_input=4897, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=26422, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=49577959, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-99151018","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10020202*⫏≰11210012)⨝⩣∺)⫯⪬∳(⫏≰10220010⨘⋶⪀)≎⪠(⫏≰20102001↡⊰⫅⫏≰11221020)⫦⪉((⫏≰21221211⊧↖)⩺⪪(⫏≰1220001⫭))⩁⩘(⫏≰11211102⊉↱≁⫏≰1222221)≁(⫏≰22211200⫥∨⫟⫏≰20201101)=⫏≰-20220120101121221","reverse_text":"⫏≰-20220120101121221=((⫏≰10020202*⫏≰11210012)⨝⩣∺)⫯⪬∳(⫏≰10220010⨘⋶⪀)≎⪠(⫏≰20102001↡⊰⫅⫏≰11221020)⫦⪉((⫏≰21221211⊧↖)⩺⪪(⫏≰1220001⫭))⩁⩘(⫏≰11211102⊉↱≁⫏≰1222221)≁(⫏≰22211200⫥∨⫟⫏≰20201101)","cot":[{"info":"⫏≰10020202*⫏≰11210012=⫏≰120112210210201","layer":3},{"info":"⫏≰120112210210201⨝⩣∺=⫏≰-1011002121121102","layer":2},{"info":"⫏≰10220010⨘⋶⪀=NaN","layer":3},{"info":"⫏≰20102001↡⊰⫅⫏≰11221020=⫏≰100212110","layer":3},{"info":"NaN≎⪠⫏≰100212110=⫏≰222211101","layer":2},{"info":"⫏≰-1011002121121102⫯⪬∳⫏≰222211101=⫏≰10110021211011201","layer":1},{"info":"⫏≰21221211⊧↖=⫏≰112001212011020002","layer":3},{"info":"⫏≰1220001⫭=⫏≰20000001","layer":3},{"info":"⫏≰112001212011020002⩺⪪⫏≰20000001=-Inf","layer":2},{"info":"⫏≰11211102⊉↱≁⫏≰1222221=⫏≰1100020121","layer":3},{"info":"⫏≰22211200⫥∨⫟⫏≰20201101=NaN","layer":3},{"info":"⫏≰1100020121≁NaN=NaN","layer":2},{"info":"-Inf⩁⩘NaN=NaN","layer":1},{"info":"⫏≰10110021211011201⫦⪉NaN=⫏≰-20220120101121221","layer":0}]}
{"id":494,"expression_no_base_symbol":"(∷≠($2822$⨪↰⇹$1009$⩚⊴⇥(⇜$4564$)))∴(($1561$⫰⋱$3130$%$1483$⫥∨⫟$2807$)*(⩷$2063$)⩧⪆$1149$⫞⩸⩒$4685$)","expression":"(∷≠(⫏≰10212112⨪↰⇹⫏≰1101101⩚⊴⇥(⇜⫏≰20021001)))∴((⫏≰2010211⫰⋱⫏≰11021221%⫏≰2000221⫥∨⫟⫏≰10211222)*(⩷⫏≰2211102)⩧⪆⫏≰1120120⫞⩸⩒⫏≰20102112)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3354,"operation_count":12,"complexity_ratio":279.5,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2822,"base":3},"right_expr":{"type":"numeric_atoms","value":1009,"base":3}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4564,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1561,"base":3},"right_expr":{"type":"numeric_atoms","value":3130,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1483,"base":3},"right_expr":{"type":"numeric_atoms","value":2807,"base":3}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2063,"base":3}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1149,"base":3},"right_expr":{"type":"numeric_atoms","value":4685,"base":3}}}}},"used_operators":["hrf7POJlIJ","QiR2Oyf5Xj","NTOWxs364D","tmPS8pqC7x","lFBm8KRb8F","9HNa5Wba9A","k8jYdgA6NY","6o9Blt3TJ6","KYD54nUTWz","Ikt5ks8PT7","1h0rLqGiFr","XGcMNugi78"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","8HhzD0ZcuI","rGHVDoGpnC","eewbuw0ToL","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⫏≰10112110212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2822","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1009, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2822","layer":3},{"info":"number node, value=4564","layer":4},{"info":"compute unary expreesion, input=4564, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-36920","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-36920, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=33977","layer":2},{"info":"compute unary expreesion, input=33977, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=33977","layer":1},{"info":"number node, value=1561","layer":4},{"info":"number node, value=3130","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=3130, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1528","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=2807, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1528, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-24835","layer":3},{"info":"number node, value=1149","layer":4},{"info":"number node, value=4685","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=4685, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4685","layer":3},{"info":"compute binary expreesion, left_input=-24835, right_input=4685, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4685","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4685, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=33977, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=69602","layer":0}],"base":3,"result_base":3,"text":"(∷≠(⫏≰10212112⨪↰⇹⫏≰1101101⩚⊴⇥(⇜⫏≰20021001)))∴((⫏≰2010211⫰⋱⫏≰11021221%⫏≰2000221⫥∨⫟⫏≰10211222)*(⩷⫏≰2211102)⩧⪆⫏≰1120120⫞⩸⩒⫏≰20102112)=⫏≰10112110212","reverse_text":"⫏≰10112110212=(∷≠(⫏≰10212112⨪↰⇹⫏≰1101101⩚⊴⇥(⇜⫏≰20021001)))∴((⫏≰2010211⫰⋱⫏≰11021221%⫏≰2000221⫥∨⫟⫏≰10211222)*(⩷⫏≰2211102)⩧⪆⫏≰1120120⫞⩸⩒⫏≰20102112)","cot":[{"info":"⫏≰10212112⨪↰⇹⫏≰1101101=⫏≰10212112","layer":3},{"info":"⇜⫏≰20021001=⫏≰-1212122102","layer":3},{"info":"⫏≰10212112⩚⊴⇥⫏≰-1212122102=⫏≰1201121102","layer":2},{"info":"∷≠⫏≰1201121102=⫏≰1201121102","layer":1},{"info":"⫏≰2010211⫰⋱⫏≰11021221=⫏≰-2002121","layer":3},{"info":"⫏≰2000221⫥∨⫟⫏≰10211222=NaN","layer":3},{"info":"⫏≰-2002121%NaN=NaN","layer":2},{"info":"⩷⫏≰2211102=⫏≰-1021001211","layer":3},{"info":"⫏≰1120120⫞⩸⩒⫏≰20102112=⫏≰20102112","layer":3},{"info":"⫏≰-1021001211⩧⪆⫏≰20102112=⫏≰-20102112","layer":2},{"info":"NaN*⫏≰-20102112=NaN","layer":1},{"info":"⫏≰1201121102∴NaN=⫏≰10112110212","layer":0}]}
{"id":495,"expression_no_base_symbol":"(⇵⪽($2738$⪟⇏$4729$⊢))/($6945$⨎$9192$)⨥⫆($4019$↓$1987$)⫲≸⪮$1024$⇂≾⫗$5778$⪚$1334$⋹⋡⊁$2847$","expression":"(⇵⪽(⫏≰10202102⪟⇏⫏≰20111011⊢))/(⫏≰100112020⨎⫏≰110121110)⨥⫆(⫏≰12111212↓⫏≰2201121)⫲≸⪮⫏≰1101221⇂≾⫗⫏≰21221000⪚⫏≰1211102⋹⋡⊁⫏≰10220110","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":92467,"operation_count":11,"complexity_ratio":8406.09090909091,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2738,"base":3},"right_expr":{"type":"numeric_atoms","value":4729,"base":3}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6945,"base":3},"right_expr":{"type":"numeric_atoms","value":9192,"base":3}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4019,"base":3},"right_expr":{"type":"numeric_atoms","value":1987,"base":3}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1024,"base":3},"right_expr":{"type":"numeric_atoms","value":5778,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1334,"base":3},"right_expr":{"type":"numeric_atoms","value":2847,"base":3}}}}},"used_operators":["XhwjNDsVaA","ZGCBLdVRRX","40aOVDgCDB","GODebY97qR","P3lXMJvFrc","yXekIHxTD4","rJVOvQCfKK","Af076pWI7l","HrjLwUk87U","aBQ6xLxuTc","As8RqfVLgs"],"dependent_operators":["rysDP5nf3Z","U7g4x0WXJJ","NTOWxs364D","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2738","layer":4},{"info":"number node, value=4729","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=4729, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=0","layer":1},{"info":"number node, value=6945","layer":4},{"info":"number node, value=9192","layer":4},{"info":"compute binary expreesion, left_input=6945, right_input=9192, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9192","layer":3},{"info":"number node, value=4019","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=1987, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=9192, right_input=-134, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1692","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=5778","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=5778, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=2847, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3597","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=3597, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=476","layer":2},{"info":"compute binary expreesion, left_input=-1692, right_input=476, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-1692","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1692, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":3,"result_base":3,"text":"(⇵⪽(⫏≰10202102⪟⇏⫏≰20111011⊢))/(⫏≰100112020⨎⫏≰110121110)⨥⫆(⫏≰12111212↓⫏≰2201121)⫲≸⪮⫏≰1101221⇂≾⫗⫏≰21221000⪚⫏≰1211102⋹⋡⊁⫏≰10220110=⫏≰0","reverse_text":"⫏≰0=(⇵⪽(⫏≰10202102⪟⇏⫏≰20111011⊢))/(⫏≰100112020⨎⫏≰110121110)⨥⫆(⫏≰12111212↓⫏≰2201121)⫲≸⪮⫏≰1101221⇂≾⫗⫏≰21221000⪚⫏≰1211102⋹⋡⊁⫏≰10220110","cot":[{"info":"⫏≰10202102⪟⇏⫏≰20111011=⫏≰-1","layer":3},{"info":"⫏≰-1⊢=⫏≰-1","layer":2},{"info":"⇵⪽⫏≰-1=⫏≰0","layer":1},{"info":"⫏≰100112020⨎⫏≰110121110=⫏≰110121110","layer":3},{"info":"⫏≰12111212↓⫏≰2201121=⫏≰-11222","layer":3},{"info":"⫏≰110121110⨥⫆⫏≰-11222=⫏≰-2022200","layer":2},{"info":"⫏≰1101221⇂≾⫗⫏≰21221000=⫏≰-221001","layer":3},{"info":"⫏≰1211102⋹⋡⊁⫏≰10220110=⫏≰11221020","layer":3},{"info":"⫏≰-221001⪚⫏≰11221020=⫏≰122122","layer":2},{"info":"⫏≰-2022200⫲≸⪮⫏≰122122=⫏≰-2022200","layer":1},{"info":"⫏≰0/⫏≰-2022200=⫏≰0","layer":0}]}
{"id":496,"expression_no_base_symbol":"((⩷⨜⫀$1867$)↳∿⪆($2409$⩒⫫$1091$))⇤(($9099$⨻⩈⩔$2287$)⨫⇇↔($2092$≭$7655$))⊝⪿⪼($1007$↓$4931$)∊∟⩊($1028$⇴$1235$)⩍⋽⫝̸((↑$1370$)⊝⪿⪼($2047$≬⋮$1224$))","expression":"((⩷⨜⫀⫏≰2120011)↳∿⪆(⫏≰10022020⩒⫫⫏≰1111102))⇤((⫏≰110111000⨻⩈⩔⫏≰10010201)⨫⇇↔(⫏≰2212111≭⫏≰101111112))⊝⪿⪼(⫏≰1101022↓⫏≰20202122)∊∟⩊(⫏≰1102002⇴⫏≰1200202)⩍⋽⫝̸((↑⫏≰1212202)⊝⪿⪼(⫏≰2210211≬⋮⫏≰1200100))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":72055,"operation_count":15,"complexity_ratio":4803.666666666667,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1867,"base":3}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2409,"base":3},"right_expr":{"type":"numeric_atoms","value":1091,"base":3}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":9099,"base":3},"right_expr":{"type":"numeric_atoms","value":2287,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2092,"base":3},"right_expr":{"type":"numeric_atoms","value":7655,"base":3}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":4931,"base":3}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1028,"base":3},"right_expr":{"type":"numeric_atoms","value":1235,"base":3}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1370,"base":3}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2047,"base":3},"right_expr":{"type":"numeric_atoms","value":1224,"base":3}}}}},"used_operators":["3Oe9XWJUTD","YSKBFp38Pu","Cw4SuJJGHO","CDi0ktkjQ4","KFSx94NKJn","LXhwmt4mBO","nEsXyWgiOK","rxpJgHHUmx","BiWNJpBvwn","ddLRYrp01A","Af076pWI7l","4JB6nKBMSY","tR7O2zTn5j","kbkesczE7y"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","AHs5Up7iyr","Ph9nP6C5qx","xUOZtlo3hN","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","sdazOOVcIp","NTOWxs364D","COABgblf1C","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1867","layer":4},{"info":"compute unary expreesion, input=1867, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1594","layer":3},{"info":"number node, value=2409","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=1091, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2107","layer":3},{"info":"compute binary expreesion, left_input=-1594, right_input=2107, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=9099","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=9099, right_input=2287, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=64391","layer":3},{"info":"number node, value=2092","layer":4},{"info":"number node, value=7655","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=7655, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=64391, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"number node, value=1007","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=4931, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1235, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=8252","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=8252, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=8252","layer":2},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=2047","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=1224, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=868, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=12812","layer":2},{"info":"compute binary expreesion, left_input=8252, right_input=12812, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=11866","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11866, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⩷⨜⫀⫏≰2120011)↳∿⪆(⫏≰10022020⩒⫫⫏≰1111102))⇤((⫏≰110111000⨻⩈⩔⫏≰10010201)⨫⇇↔(⫏≰2212111≭⫏≰101111112))⊝⪿⪼(⫏≰1101022↓⫏≰20202122)∊∟⩊(⫏≰1102002⇴⫏≰1200202)⩍⋽⫝̸((↑⫏≰1212202)⊝⪿⪼(⫏≰2210211≬⋮⫏≰1200100))=NaN","reverse_text":"NaN=((⩷⨜⫀⫏≰2120011)↳∿⪆(⫏≰10022020⩒⫫⫏≰1111102))⇤((⫏≰110111000⨻⩈⩔⫏≰10010201)⨫⇇↔(⫏≰2212111≭⫏≰101111112))⊝⪿⪼(⫏≰1101022↓⫏≰20202122)∊∟⩊(⫏≰1102002⇴⫏≰1200202)⩍⋽⫝̸((↑⫏≰1212202)⊝⪿⪼(⫏≰2210211≬⋮⫏≰1200100))","cot":[{"info":"⩷⨜⫀⫏≰2120011=⫏≰-2012001","layer":3},{"info":"⫏≰10022020⩒⫫⫏≰1111102=⫏≰2220001","layer":3},{"info":"⫏≰-2012001↳∿⪆⫏≰2220001=NaN","layer":2},{"info":"⫏≰110111000⨻⩈⩔⫏≰10010201=⫏≰10021022212","layer":3},{"info":"⫏≰2212111≭⫏≰101111112=NaN","layer":3},{"info":"⫏≰10021022212⨫⇇↔NaN=⫏≰-201112","layer":2},{"info":"NaN⇤⫏≰-201112=NaN","layer":1},{"info":"⫏≰1101022↓⫏≰20202122=⫏≰-11222","layer":3},{"info":"⫏≰1102002⇴⫏≰1200202=⫏≰102022122","layer":3},{"info":"⫏≰-11222∊∟⩊⫏≰102022122=⫏≰102022122","layer":2},{"info":"↑⫏≰1212202=⫏≰21010","layer":3},{"info":"⫏≰2210211≬⋮⫏≰1200100=⫏≰1012011","layer":3},{"info":"⫏≰21010⊝⪿⪼⫏≰1012011=⫏≰122120112","layer":2},{"info":"⫏≰102022122⩍⋽⫝̸⫏≰122120112=⫏≰121021111","layer":1},{"info":"NaN⊝⪿⪼⫏≰121021111=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"($8086$≒∊$6304$⋓$1188$⪚$1071$⫃⨇($6164$⋅⇍$9287$)≌(⨝⨆$1480$))⩣⫁∢($1000$⪶≀⋏$2554$≃($1476$⩨$1492$)*($1109$↹⊜$3997$⫭))","expression":"(⫏≰102002111≒∊⫏≰22122111⋓⫏≰1122000⪚⫏≰1110200⫃⨇(⫏≰22110022⋅⇍⫏≰110201222)≌(⨝⨆⫏≰2000211))⩣⫁∢(⫏≰1101001⪶≀⋏⫏≰10111121≃(⫏≰2000200⩨⫏≰2001021)*(⫏≰1112002↹⊜⫏≰12111001⫭))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1608,"operation_count":14,"complexity_ratio":114.85714285714286,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":8086,"base":3},"right_expr":{"type":"numeric_atoms","value":6304,"base":3}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1188,"base":3},"right_expr":{"type":"numeric_atoms","value":1071,"base":3}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6164,"base":3},"right_expr":{"type":"numeric_atoms","value":9287,"base":3}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1480,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1000,"base":3},"right_expr":{"type":"numeric_atoms","value":2554,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1476,"base":3},"right_expr":{"type":"numeric_atoms","value":1492,"base":3}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":3997,"base":3}}}}},"used_operators":["JDUIKTTSIa","09Ly4LVMIf","T2fj7uvVaJ","5KTvxBwnZo","HrjLwUk87U","lyWz822IDG","AdZkA7nFnk","bQ67fsrMVf","9HNa5Wba9A","YbVcJGFEVW","zR4jO40bMj","2DlMacCsIx","t4WUHVGj7f","9bazX3JMtO"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","tifHPKVTfV","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8086","layer":4},{"info":"number node, value=6304","layer":4},{"info":"compute binary expreesion, left_input=8086, right_input=6304, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-7602","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1071, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-122","layer":3},{"info":"compute binary expreesion, left_input=-7602, right_input=-122, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=6164","layer":4},{"info":"number node, value=9287","layer":4},{"info":"compute binary expreesion, left_input=6164, right_input=9287, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1480","layer":4},{"info":"compute unary expreesion, input=1480, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1271","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=1271, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2554","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2554, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-8340","layer":3},{"info":"number node, value=1476","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=1492, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-8340, right_input=-3, 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=-56","layer":2},{"info":"number node, value=1109","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=3997, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-13866","layer":3},{"info":"compute unary expreesion, input=-13866, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-41357","layer":2},{"info":"compute binary expreesion, left_input=-56, right_input=-41357, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2315992","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2315992, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰102002111≒∊⫏≰22122111⋓⫏≰1122000⪚⫏≰1110200⫃⨇(⫏≰22110022⋅⇍⫏≰110201222)≌(⨝⨆⫏≰2000211))⩣⫁∢(⫏≰1101001⪶≀⋏⫏≰10111121≃(⫏≰2000200⩨⫏≰2001021)*(⫏≰1112002↹⊜⫏≰12111001⫭))=NaN","reverse_text":"NaN=(⫏≰102002111≒∊⫏≰22122111⋓⫏≰1122000⪚⫏≰1110200⫃⨇(⫏≰22110022⋅⇍⫏≰110201222)≌(⨝⨆⫏≰2000211))⩣⫁∢(⫏≰1101001⪶≀⋏⫏≰10111121≃(⫏≰2000200⩨⫏≰2001021)*(⫏≰1112002↹⊜⫏≰12111001⫭))","cot":[{"info":"⫏≰102002111≒∊⫏≰22122111=⫏≰-101102120","layer":3},{"info":"⫏≰1122000⪚⫏≰1110200=⫏≰-11112","layer":3},{"info":"⫏≰-101102120⋓⫏≰-11112=⫏≰0","layer":2},{"info":"⫏≰22110022⋅⇍⫏≰110201222=⫏≰-211","layer":3},{"info":"⨝⨆⫏≰2000211=⫏≰1202002","layer":3},{"info":"⫏≰-211≌⫏≰1202002=NaN","layer":2},{"info":"⫏≰0⫃⨇NaN=NaN","layer":1},{"info":"⫏≰1101001⪶≀⋏⫏≰10111121=⫏≰-102102220","layer":3},{"info":"⫏≰2000200⩨⫏≰2001021=⫏≰-10","layer":3},{"info":"⫏≰-102102220≃⫏≰-10=⫏≰-2002","layer":2},{"info":"⫏≰1112002↹⊜⫏≰12111001=⫏≰-201000120","layer":3},{"info":"⫏≰-201000120⫭=⫏≰-2002201202","layer":2},{"info":"⫏≰-2002*⫏≰-2002201202=⫏≰11100122221111","layer":1},{"info":"NaN⩣⫁∢⫏≰11100122221111=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"⊄⩳↩(≛$3002$)⋕⪉⪜($1110$⩘⨬⇊)⫒⫫(+⊝⨔($3597$∝$3492$))","expression":"⊄⩳↩(≛⫏≰11010012)⋕⪉⪜(⫏≰1112010⩘⨬⇊)⫒⫫(+⊝⨔(⫏≰11221020∝⫏≰11210100))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":43600,"operation_count":7,"complexity_ratio":6228.571428571428,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3002,"base":3}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1110,"base":3}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3597,"base":3},"right_expr":{"type":"numeric_atoms","value":3492,"base":3}}}}},"used_operators":["8w2t5hMYqp","6Ko8hGgeMq","z6LnFrNh4i","W7eaUhjymW","XXmTpEpWTW","DhbWaqg5eL","cTDWOvIxvz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3002","layer":4},{"info":"compute unary expreesion, input=3002, 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":3},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=3597","layer":4},{"info":"number node, value=3492","layer":4},{"info":"compute binary expreesion, left_input=3597, right_input=3492, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3602","layer":3},{"info":"compute unary expreesion, input=3602, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=1522, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊄⩳↩(≛⫏≰11010012)⋕⪉⪜(⫏≰1112010⩘⨬⇊)⫒⫫(+⊝⨔(⫏≰11221020∝⫏≰11210100))=NaN","reverse_text":"NaN=⊄⩳↩(≛⫏≰11010012)⋕⪉⪜(⫏≰1112010⩘⨬⇊)⫒⫫(+⊝⨔(⫏≰11221020∝⫏≰11210100))","cot":[{"info":"≛⫏≰11010012=⫏≰-101","layer":3},{"info":"⫏≰1112010⩘⨬⇊=NaN","layer":3},{"info":"⫏≰-101⋕⪉⪜NaN=⫏≰21120","layer":2},{"info":"⫏≰11221020∝⫏≰11210100=⫏≰11221102","layer":3},{"info":"+⊝⨔⫏≰11221102=⫏≰2002101","layer":2},{"info":"⫏≰21120⫒⫫⫏≰2002101=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"(∜⨇($1486$⨚⇆$1521$⫢⨠($1130$⫿)))⩼⇪↪($2097$⩷∴$3938$⫢⨠$3396$∴$5436$/(⇋⊎⋝$1251$)⫃⨇$3743$⊮⊟↴$1475$)","expression":"(∜⨇(⫏≰2001001⨚⇆⫏≰2002100⫢⨠(⫏≰1112212⫿)))⩼⇪↪(⫏≰2212200⩷∴⫏≰12101212⫢⨠⫏≰11122210∴⫏≰21110100/(⇋⊎⋝⫏≰1201100)⫃⨇⫏≰12010122⊮⊟↴⫏≰2000122)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11942,"operation_count":12,"complexity_ratio":995.1666666666666,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1486,"base":3},"right_expr":{"type":"numeric_atoms","value":1521,"base":3}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1130,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2097,"base":3},"right_expr":{"type":"numeric_atoms","value":3938,"base":3}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3396,"base":3},"right_expr":{"type":"numeric_atoms","value":5436,"base":3}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1251,"base":3}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3743,"base":3},"right_expr":{"type":"numeric_atoms","value":1475,"base":3}}}}},"used_operators":["ocnLzx9CaJ","uFPyJr306J","xlXykHWxX1","lwHaAYXP2r","9tKT6PmtkH","XhwjNDsVaA","9FxExcQeMw","hrf7POJlIJ","09Ly4LVMIf","CzM2PEoXns","QDVgd2eftb"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","rysDP5nf3Z","rysDP5nf3Z","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1486","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=1521, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1130","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1130, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, 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=2097","layer":4},{"info":"number node, value=3938","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=3938, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3714","layer":3},{"info":"number node, value=3396","layer":4},{"info":"number node, value=5436","layer":4},{"info":"compute binary expreesion, left_input=3396, right_input=5436, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8440","layer":3},{"info":"compute binary expreesion, left_input=-3714, right_input=8440, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3743","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=3743, right_input=1475, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∜⨇(⫏≰2001001⨚⇆⫏≰2002100⫢⨠(⫏≰1112212⫿)))⩼⇪↪(⫏≰2212200⩷∴⫏≰12101212⫢⨠⫏≰11122210∴⫏≰21110100/(⇋⊎⋝⫏≰1201100)⫃⨇⫏≰12010122⊮⊟↴⫏≰2000122)=NaN","reverse_text":"NaN=(∜⨇(⫏≰2001001⨚⇆⫏≰2002100⫢⨠(⫏≰1112212⫿)))⩼⇪↪(⫏≰2212200⩷∴⫏≰12101212⫢⨠⫏≰11122210∴⫏≰21110100/(⇋⊎⋝⫏≰1201100)⫃⨇⫏≰12010122⊮⊟↴⫏≰2000122)","cot":[{"info":"⫏≰2001001⨚⇆⫏≰2002100=NaN","layer":3},{"info":"⫏≰1112212⫿=⫏≰1112212","layer":3},{"info":"NaN⫢⨠⫏≰1112212=NaN","layer":2},{"info":"∜⨇NaN=NaN","layer":1},{"info":"⫏≰2212200⩷∴⫏≰12101212=⫏≰-12002120","layer":3},{"info":"⫏≰11122210∴⫏≰21110100=⫏≰102120121","layer":3},{"info":"⫏≰-12002120⫢⨠⫏≰102120121=⫏≰12221","layer":2},{"info":"⇋⊎⋝⫏≰1201100=NaN","layer":3},{"info":"⫏≰12010122⊮⊟↴⫏≰2000122=⫏≰0","layer":3},{"info":"NaN⫃⨇⫏≰0=NaN","layer":2},{"info":"⫏≰12221/NaN=NaN","layer":1},{"info":"NaN⩼⇪↪NaN=NaN","layer":0}]}
{"id":500,"expression_no_base_symbol":"($3589$⊝⪿⪼$5901$≥⨤⩑($1878$⫸⊐$3732$))≀⫉(($1607$⇞)⇼⇔∾$1033$↞⋁$1817$)⨵⪆(($2416$⋛$1812$)⋛($1012$⋆⋳)⪁($6368$⨟⋌⩍$1312$)⊢($3159$⊀⩕))","expression":"(⫏≰11220221⊝⪿⪼⫏≰22002120≥⨤⩑(⫏≰2120120⫸⊐⫏≰12010020))≀⫉((⫏≰2012112⇞)⇼⇔∾⫏≰1102021↞⋁⫏≰2111022)⨵⪆((⫏≰10022111⋛⫏≰2111010)⋛(⫏≰1101111⋆⋳)⪁(⫏≰22201212⨟⋌⩍⫏≰1210121)⊢(⫏≰11100000⊀⩕))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7571,"operation_count":15,"complexity_ratio":504.73333333333335,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3589,"base":3},"right_expr":{"type":"numeric_atoms","value":5901,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1878,"base":3},"right_expr":{"type":"numeric_atoms","value":3732,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1607,"base":3}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1033,"base":3},"right_expr":{"type":"numeric_atoms","value":1817,"base":3}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2416,"base":3},"right_expr":{"type":"numeric_atoms","value":1812,"base":3}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1012,"base":3}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6368,"base":3},"right_expr":{"type":"numeric_atoms","value":1312,"base":3}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":3159,"base":3}}}}},"used_operators":["2DQ55sFlQl","oZj3VtZNQx","gJLn6v0xnP","3Oe9XWJUTD","mqXw5SEYmG","tifHPKVTfV","5JYyxRJd4f","RqrPlJkxDo","I7sXao9hZE","YbUVn0Rbpy","6MpZysEj17","5twsqlHp2o","rGHVDoGpnC","r0FS3hW4cC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Tcnh7f0tEr","rGHVDoGpnC","nhYeJWJD5X"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3589","layer":4},{"info":"number node, value=5901","layer":4},{"info":"compute binary expreesion, left_input=3589, right_input=5901, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=63767","layer":3},{"info":"number node, value=1878","layer":4},{"info":"number node, value=3732","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=3732, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14803","layer":3},{"info":"compute binary expreesion, left_input=63767, right_input=14803, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1607","layer":4},{"info":"compute unary expreesion, input=1607, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=6341","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=1817, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6341, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=2416","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1812, 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=-110448","layer":3},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2056","layer":3},{"info":"compute binary expreesion, left_input=-110448, right_input=-2056, 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=-5523","layer":2},{"info":"number node, value=6368","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=6368, right_input=1312, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3159","layer":4},{"info":"compute unary expreesion, input=3159, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5523, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11220221⊝⪿⪼⫏≰22002120≥⨤⩑(⫏≰2120120⫸⊐⫏≰12010020))≀⫉((⫏≰2012112⇞)⇼⇔∾⫏≰1102021↞⋁⫏≰2111022)⨵⪆((⫏≰10022111⋛⫏≰2111010)⋛(⫏≰1101111⋆⋳)⪁(⫏≰22201212⨟⋌⩍⫏≰1210121)⊢(⫏≰11100000⊀⩕))=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰11220221⊝⪿⪼⫏≰22002120≥⨤⩑(⫏≰2120120⫸⊐⫏≰12010020))≀⫉((⫏≰2012112⇞)⇼⇔∾⫏≰1102021↞⋁⫏≰2111022)⨵⪆((⫏≰10022111⋛⫏≰2111010)⋛(⫏≰1101111⋆⋳)⪁(⫏≰22201212⨟⋌⩍⫏≰1210121)⊢(⫏≰11100000⊀⩕))","cot":[{"info":"⫏≰11220221⊝⪿⪼⫏≰22002120=⫏≰10020110202","layer":3},{"info":"⫏≰2120120⫸⊐⫏≰12010020=⫏≰202022021","layer":3},{"info":"⫏≰10020110202≥⨤⩑⫏≰202022021=⫏≰1200201","layer":2},{"info":"⫏≰2012112⇞=⫏≰22200212","layer":3},{"info":"⫏≰1102021↞⋁⫏≰2111022=NaN","layer":3},{"info":"⫏≰22200212⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰1200201≀⫉NaN=⫏≰10212112","layer":1},{"info":"⫏≰10022111⋛⫏≰2111010=⫏≰-12121111200","layer":3},{"info":"⫏≰1101111⋆⋳=⫏≰-2211011","layer":3},{"info":"⫏≰-12121111200⋛⫏≰-2211011=⫏≰-21120120","layer":2},{"info":"⫏≰22201212⨟⋌⩍⫏≰1210121=NaN","layer":3},{"info":"⫏≰11100000⊀⩕=⫏≰0","layer":3},{"info":"NaN⊢⫏≰0=NaN","layer":2},{"info":"⫏≰-21120120⪁NaN=NaN","layer":1},{"info":"⫏≰10212112⨵⪆NaN=⫏≰12221","layer":0}]}
{"id":501,"expression_no_base_symbol":"((⋠∜(⪓⩚$5590$))⨪↰⇹(⊗$7268$)⩼⇪↪(⋗⩬⋾$1008$))⊵↤","expression":"((⋠∜(⪓⩚⫏≰21200001))⨪↰⇹(⊗⫏≰100222012)⩼⇪↪(⋗⩬⋾⫏≰1101100))⊵↤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7443,"operation_count":7,"complexity_ratio":1063.2857142857142,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":5590,"base":3}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":7268,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1008,"base":3}}}}},"used_operators":["7IPrd9c3lf","tmPS8pqC7x","ZJpFhNJr3x","u0R0Locfp2","ocnLzx9CaJ","RhiyfpczSx","DpFCA1CohY"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","rJVOvQCfKK","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5590","layer":4},{"info":"compute unary expreesion, input=5590, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute unary expreesion, input=426, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=3988","layer":2},{"info":"number node, value=7268","layer":4},{"info":"compute unary expreesion, input=7268, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-14536","layer":3},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3024","layer":3},{"info":"compute binary expreesion, left_input=-14536, right_input=-3024, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-8687","layer":2},{"info":"compute binary expreesion, left_input=3988, right_input=-8687, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3988","layer":1},{"info":"compute unary expreesion, input=3988, 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":0}],"base":3,"result_base":3,"text":"((⋠∜(⪓⩚⫏≰21200001))⨪↰⇹(⊗⫏≰100222012)⩼⇪↪(⋗⩬⋾⫏≰1101100))⊵↤=⫏≰2111","reverse_text":"⫏≰2111=((⋠∜(⪓⩚⫏≰21200001))⨪↰⇹(⊗⫏≰100222012)⩼⇪↪(⋗⩬⋾⫏≰1101100))⊵↤","cot":[{"info":"⪓⩚⫏≰21200001=⫏≰120210","layer":3},{"info":"⋠∜⫏≰120210=⫏≰12110201","layer":2},{"info":"⊗⫏≰100222012=⫏≰-201221101","layer":3},{"info":"⋗⩬⋾⫏≰1101100=⫏≰-11011000","layer":3},{"info":"⫏≰-201221101⩼⇪↪⫏≰-11011000=⫏≰-102220202","layer":2},{"info":"⫏≰12110201⨪↰⇹⫏≰-102220202=⫏≰12110201","layer":1},{"info":"⫏≰12110201⊵↤=⫏≰2111","layer":0}]}
{"id":502,"expression_no_base_symbol":"(($5967$⊝⪿⪼$4990$⪔$1052$⇍⊗$3354$)⋾⨃∁(⨰⫟⨤($1223$⩺⪪$1162$)))⪎↠($2279$⪟⇏$5451$≄⊠$1474$⇍⊗$2321$⇮⋭($4397$≧⫂∧$6479$)⪶≀⋏(⩎⋉$1388$))","expression":"((⫏≰22012000⊝⪿⪼⫏≰20211211⪔⫏≰1102222⇍⊗⫏≰11121020)⋾⨃∁(⨰⫟⨤(⫏≰1200022⩺⪪⫏≰1121001)))⪎↠(⫏≰10010102⪟⇏⫏≰21110220≄⊠⫏≰2000121⇍⊗⫏≰10011222⇮⋭(⫏≰20000212≧⫂∧⫏≰22212222)⪶≀⋏(⩎⋉⫏≰1220102))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9232,"operation_count":14,"complexity_ratio":659.4285714285714,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5967,"base":3},"right_expr":{"type":"numeric_atoms","value":4990,"base":3}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1052,"base":3},"right_expr":{"type":"numeric_atoms","value":3354,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1223,"base":3},"right_expr":{"type":"numeric_atoms","value":1162,"base":3}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2279,"base":3},"right_expr":{"type":"numeric_atoms","value":5451,"base":3}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1474,"base":3},"right_expr":{"type":"numeric_atoms","value":2321,"base":3}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4397,"base":3},"right_expr":{"type":"numeric_atoms","value":6479,"base":3}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1388,"base":3}}}}},"used_operators":["3tVxb0NHM4","212REbPD9h","GjBEYRfMaF","3Oe9XWJUTD","5uvYHDjeKN","Tw270M8GLb","uvdQJvN4PV","vkpjKywKVM","vXNesLlMH1","GODebY97qR","zR4jO40bMj","Ph9nP6C5qx","FlXk3pOYe8"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5967","layer":4},{"info":"number node, value=4990","layer":4},{"info":"compute binary expreesion, left_input=5967, right_input=4990, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=77435","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=3354","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=3354, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=77435, right_input=-244, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=1223","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=1162, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1874","layer":3},{"info":"compute unary expreesion, input=-1874, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=450, 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":1},{"info":"number node, value=2279","layer":4},{"info":"number node, value=5451","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=5451, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2321, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-244, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=4397","layer":4},{"info":"number node, value=6479","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=6479, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6006","layer":3},{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, 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":3},{"info":"compute binary expreesion, left_input=6006, right_input=1650, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21550","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-21550, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22012000⊝⪿⪼⫏≰20211211⪔⫏≰1102222⇍⊗⫏≰11121020)⋾⨃∁(⨰⫟⨤(⫏≰1200022⩺⪪⫏≰1121001)))⪎↠(⫏≰10010102⪟⇏⫏≰21110220≄⊠⫏≰2000121⇍⊗⫏≰10011222⇮⋭(⫏≰20000212≧⫂∧⫏≰22212222)⪶≀⋏(⩎⋉⫏≰1220102))=NaN","reverse_text":"NaN=((⫏≰22012000⊝⪿⪼⫏≰20211211⪔⫏≰1102222⇍⊗⫏≰11121020)⋾⨃∁(⨰⫟⨤(⫏≰1200022⩺⪪⫏≰1121001)))⪎↠(⫏≰10010102⪟⇏⫏≰21110220≄⊠⫏≰2000121⇍⊗⫏≰10011222⇮⋭(⫏≰20000212≧⫂∧⫏≰22212222)⪶≀⋏(⩎⋉⫏≰1220102))","cot":[{"info":"⫏≰22012000⊝⪿⪼⫏≰20211211=⫏≰10221012222","layer":3},{"info":"⫏≰1102222⇍⊗⫏≰11121020=⫏≰-100001","layer":3},{"info":"⫏≰10221012222⪔⫏≰-100001=⫏≰121200","layer":2},{"info":"⫏≰1200022⩺⪪⫏≰1121001=⫏≰-2120102","layer":3},{"info":"⨰⫟⨤⫏≰-2120102=NaN","layer":2},{"info":"⫏≰121200⋾⨃∁NaN=NaN","layer":1},{"info":"⫏≰10010102⪟⇏⫏≰21110220=⫏≰-1","layer":3},{"info":"⫏≰2000121⇍⊗⫏≰10011222=⫏≰-100001","layer":3},{"info":"⫏≰-1≄⊠⫏≰-100001=⫏≰2001120","layer":2},{"info":"⫏≰20000212≧⫂∧⫏≰22212222=⫏≰22020110","layer":3},{"info":"⩎⋉⫏≰1220102=⫏≰2021010","layer":3},{"info":"⫏≰22020110⪶≀⋏⫏≰2021010=⫏≰-1002120011","layer":2},{"info":"⫏≰2001120⇮⋭⫏≰-1002120011=⫏≰2111","layer":1},{"info":"NaN⪎↠⫏≰2111=NaN","layer":0}]}
{"id":503,"expression_no_base_symbol":"((⪛⨧(⊖$1047$))⪮%⊝(↸⊣$5413$)⪚($2009$≭$7619$))⊋(⨭⩧⫛(⋃($4558$⫰⋱$6255$)))","expression":"((⪛⨧(⊖⫏≰1102210))⪮%⊝(↸⊣⫏≰21102111)⪚(⫏≰2202102≭⫏≰101110012))⊋(⨭⩧⫛(⋃(⫏≰20020211⫰⋱⫏≰22120200)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":283,"operation_count":10,"complexity_ratio":28.3,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1047,"base":3}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":5413,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2009,"base":3},"right_expr":{"type":"numeric_atoms","value":7619,"base":3}}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4558,"base":3},"right_expr":{"type":"numeric_atoms","value":6255,"base":3}}}}},"used_operators":["W4tP9CfskL","IWmyXbctLI","6NJAcO2OWT","U6pG0PXrV3","HrjLwUk87U","wztAlM01eG","rxpJgHHUmx","g21JL6JxX7","3mBM5G4a3l","6o9Blt3TJ6"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","AHs5Up7iyr","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","g55IO6H4Gj","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1401","layer":2},{"info":"number node, value=5413","layer":4},{"info":"compute unary expreesion, input=5413, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-5126","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=7619","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=7619, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5126, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=9376","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=9376, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3118","layer":1},{"info":"number node, value=4558","layer":4},{"info":"number node, value=6255","layer":4},{"info":"compute binary expreesion, left_input=4558, right_input=6255, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4525","layer":3},{"info":"compute unary expreesion, input=-4525, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-8948","layer":2},{"info":"compute unary expreesion, input=-8948, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3118, right_input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"((⪛⨧(⊖⫏≰1102210))⪮%⊝(↸⊣⫏≰21102111)⪚(⫏≰2202102≭⫏≰101110012))⊋(⨭⩧⫛(⋃(⫏≰20020211⫰⋱⫏≰22120200)))=NaN","reverse_text":"NaN=((⪛⨧(⊖⫏≰1102210))⪮%⊝(↸⊣⫏≰21102111)⪚(⫏≰2202102≭⫏≰101110012))⊋(⨭⩧⫛(⋃(⫏≰20020211⫰⋱⫏≰22120200)))","cot":[{"info":"⊖⫏≰1102210=⫏≰0","layer":3},{"info":"⪛⨧⫏≰0=⫏≰1220220","layer":2},{"info":"↸⊣⫏≰21102111=⫏≰-21000212","layer":3},{"info":"⫏≰2202102≭⫏≰101110012=NaN","layer":3},{"info":"⫏≰-21000212⪚NaN=⫏≰110212021","layer":2},{"info":"⫏≰1220220⪮%⊝⫏≰110212021=⫏≰11021111","layer":1},{"info":"⫏≰20020211⫰⋱⫏≰22120200=⫏≰-20012121","layer":3},{"info":"⋃⫏≰-20012121=⫏≰-110021102","layer":2},{"info":"⨭⩧⫛⫏≰-110021102=NaN","layer":1},{"info":"⫏≰11021111⊋NaN=NaN","layer":0}]}
{"id":504,"expression_no_base_symbol":"∜⨇(⇺⋃(($1741$⩵∡$1165$)⋥≓≎$4302$⪔$1875$))","expression":"∜⨇(⇺⋃((⫏≰2101111⩵∡⫏≰1121011)⋥≓≎⫏≰12220100⪔⫏≰2120110))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7616,"operation_count":5,"complexity_ratio":1523.2,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1741,"base":3},"right_expr":{"type":"numeric_atoms","value":1165,"base":3}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":4302,"base":3},"right_expr":{"type":"numeric_atoms","value":1875,"base":3}}}}},"used_operators":["uFPyJr306J","E5v5B3UAjG","Qy55tPpLXF","Y7wcNGrDQJ","GjBEYRfMaF"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1165, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2438","layer":3},{"info":"number node, value=4302","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=1875, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-2438, right_input=450, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=913","layer":1},{"info":"compute unary expreesion, input=913, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"∜⨇(⇺⋃((⫏≰2101111⩵∡⫏≰1121011)⋥≓≎⫏≰12220100⪔⫏≰2120110))=⫏≰0","reverse_text":"⫏≰0=∜⨇(⇺⋃((⫏≰2101111⩵∡⫏≰1121011)⋥≓≎⫏≰12220100⪔⫏≰2120110))","cot":[{"info":"⫏≰2101111⩵∡⫏≰1121011=⫏≰-10100022","layer":3},{"info":"⫏≰12220100⪔⫏≰2120110=⫏≰121200","layer":3},{"info":"⫏≰-10100022⋥≓≎⫏≰121200=⫏≰2111","layer":2},{"info":"⇺⋃⫏≰2111=⫏≰1020211","layer":1},{"info":"∜⨇⫏≰1020211=⫏≰0","layer":0}]}
{"id":505,"expression_no_base_symbol":"($7098$≀⩗∶$1367$)∠↢($4415$≫≃)≓∲($1129$⩁⩘$2315$+($1048$⫡⨏$1127$))*($3340$⫯⪬∳$2407$⋅⇍$3041$⇍⊗$1174$)⪚($3072$⪔⊥$5451$⪔($4194$≃⋄))","expression":"(⫏≰100201220≀⩗∶⫏≰1212122)∠↢(⫏≰20001112≫≃)≓∲(⫏≰1112211⩁⩘⫏≰10011202+(⫏≰1102211⫡⨏⫏≰1112202))*(⫏≰11120201⫯⪬∳⫏≰10022011⋅⇍⫏≰11011122⇍⊗⫏≰1121111)⪚(⫏≰11012210⪔⊥⫏≰21110220⪔(⫏≰12202100≃⋄))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5900,"operation_count":15,"complexity_ratio":393.3333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":7098,"base":3},"right_expr":{"type":"numeric_atoms","value":1367,"base":3}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4415,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1129,"base":3},"right_expr":{"type":"numeric_atoms","value":2315,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1048,"base":3},"right_expr":{"type":"numeric_atoms","value":1127,"base":3}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3340,"base":3},"right_expr":{"type":"numeric_atoms","value":2407,"base":3}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3041,"base":3},"right_expr":{"type":"numeric_atoms","value":1174,"base":3}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3072,"base":3},"right_expr":{"type":"numeric_atoms","value":5451,"base":3}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":4194,"base":3}}}}},"used_operators":["9HNa5Wba9A","s1XTVnmDOJ","KbjG8mgYpV","8INZBEW696","X99M06cbEe","W4YGzv6Whe","gub5Cegaqo","QMFrweE19q","HrjLwUk87U","AdZkA7nFnk","d7ASUq0ydm","5uvYHDjeKN","GjBEYRfMaF","HJ9erzHUuu","aN9a90urxU"],"dependent_operators":["W4YGzv6Whe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","uFcxV4UQCh","jLgFTUHLKL"],"result":"⫏≰-11102110221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7098","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=7098, right_input=1367, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=4415","layer":4},{"info":"compute unary expreesion, input=4415, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10231","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10231, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-142152","layer":2},{"info":"number node, value=1129","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=2315, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10208","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1127, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8277","layer":3},{"info":"compute binary expreesion, left_input=10208, right_input=8277, op_id = W4YGzv6Whe binary_op_definition= 'None', output=18485","layer":2},{"info":"compute binary expreesion, left_input=-142152, right_input=18485, 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":1},{"info":"number node, value=3340","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=2407, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14326","layer":3},{"info":"number node, value=3041","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=1174, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=14326, right_input=-244, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=3072","layer":4},{"info":"number node, value=5451","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=5451, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1187","layer":3},{"info":"number node, value=4194","layer":4},{"info":"compute unary expreesion, input=4194, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=1187, right_input=764, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=450, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1300","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-1300, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-87100","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100201220≀⩗∶⫏≰1212122)∠↢(⫏≰20001112≫≃)≓∲(⫏≰1112211⩁⩘⫏≰10011202+(⫏≰1102211⫡⨏⫏≰1112202))*(⫏≰11120201⫯⪬∳⫏≰10022011⋅⇍⫏≰11011122⇍⊗⫏≰1121111)⪚(⫏≰11012210⪔⊥⫏≰21110220⪔(⫏≰12202100≃⋄))=⫏≰-11102110221","reverse_text":"⫏≰-11102110221=(⫏≰100201220≀⩗∶⫏≰1212122)∠↢(⫏≰20001112≫≃)≓∲(⫏≰1112211⩁⩘⫏≰10011202+(⫏≰1102211⫡⨏⫏≰1112202))*(⫏≰11120201⫯⪬∳⫏≰10022011⋅⇍⫏≰11011122⇍⊗⫏≰1121111)⪚(⫏≰11012210⪔⊥⫏≰21110220⪔(⫏≰12202100≃⋄))","cot":[{"info":"⫏≰100201220≀⩗∶⫏≰1212122=⫏≰0","layer":3},{"info":"⫏≰20001112≫≃=⫏≰112000221","layer":3},{"info":"⫏≰0∠↢⫏≰112000221=⫏≰-21012222220","layer":2},{"info":"⫏≰1112211⩁⩘⫏≰10011202=⫏≰112000002","layer":3},{"info":"⫏≰1102211⫡⨏⫏≰1112202=⫏≰102100120","layer":3},{"info":"⫏≰112000002+⫏≰102100120=⫏≰221100122","layer":2},{"info":"⫏≰-21012222220≓∲⫏≰221100122=⫏≰2111","layer":1},{"info":"⫏≰11120201⫯⪬∳⫏≰10022011=⫏≰201122121","layer":3},{"info":"⫏≰11011122⇍⊗⫏≰1121111=⫏≰-100001","layer":3},{"info":"⫏≰201122121⋅⇍⫏≰-100001=⫏≰-211","layer":2},{"info":"⫏≰11012210⪔⊥⫏≰21110220=⫏≰1121222","layer":3},{"info":"⫏≰12202100≃⋄=⫏≰1001022","layer":3},{"info":"⫏≰1121222⪔⫏≰1001022=⫏≰121200","layer":2},{"info":"⫏≰-211⪚⫏≰121200=⫏≰-1210011","layer":1},{"info":"⫏≰2111*⫏≰-1210011=⫏≰-11102110221","layer":0}]}
{"id":506,"expression_no_base_symbol":"(($6144$⩧⪆$5289$⪒$3669$⩹$2727$)↤⩊(($1732$⪛$1762$)↓($4812$↬$2360$)))⪝(⇠(($5167$⋖∅⋲)⪍↜⋙$8568$⫘$1246$))","expression":"((⫏≰22102120⩧⪆⫏≰21020220⪒⫏≰12000220⩹⫏≰10202000)↤⩊((⫏≰2101011⪛⫏≰2102021)↓(⫏≰20121020↬⫏≰10020102)))⪝(⇠((⫏≰21002101⋖∅⋲)⪍↜⋙⫏≰102202100⫘⫏≰1201011))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9870,"operation_count":12,"complexity_ratio":822.5,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6144,"base":3},"right_expr":{"type":"numeric_atoms","value":5289,"base":3}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3669,"base":3},"right_expr":{"type":"numeric_atoms","value":2727,"base":3}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1732,"base":3},"right_expr":{"type":"numeric_atoms","value":1762,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4812,"base":3},"right_expr":{"type":"numeric_atoms","value":2360,"base":3}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":5167,"base":3}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":8568,"base":3},"right_expr":{"type":"numeric_atoms","value":1246,"base":3}}}}},"used_operators":["wicAB68Tmb","13rbtpv6ld","f6k1SAg4EE","Ikt5ks8PT7","2Wsdkap16l","Af076pWI7l","uFcxV4UQCh","B5M0gjZbta","18saOjeKKm","L05ObWFQCd","L95AwlJzhO","48vC8HMD2b"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6144","layer":4},{"info":"number node, value=5289","layer":4},{"info":"compute binary expreesion, left_input=6144, right_input=5289, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5289","layer":3},{"info":"number node, value=3669","layer":4},{"info":"number node, value=2727","layer":4},{"info":"compute binary expreesion, left_input=3669, right_input=2727, 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=2725","layer":3},{"info":"compute binary expreesion, left_input=-5289, right_input=2725, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2564","layer":2},{"info":"number node, value=1732","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=1762, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1732","layer":3},{"info":"number node, value=4812","layer":4},{"info":"number node, value=2360","layer":4},{"info":"compute binary expreesion, left_input=4812, right_input=2360, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1732, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=2564, 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":1},{"info":"number node, value=5167","layer":4},{"info":"compute unary expreesion, input=5167, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=8568","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=8568, right_input=1246, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=10080373","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=10080373, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-18240374","layer":2},{"info":"compute unary expreesion, input=-18240374, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22102120⩧⪆⫏≰21020220⪒⫏≰12000220⩹⫏≰10202000)↤⩊((⫏≰2101011⪛⫏≰2102021)↓(⫏≰20121020↬⫏≰10020102)))⪝(⇠((⫏≰21002101⋖∅⋲)⪍↜⋙⫏≰102202100⫘⫏≰1201011))=NaN","reverse_text":"NaN=((⫏≰22102120⩧⪆⫏≰21020220⪒⫏≰12000220⩹⫏≰10202000)↤⩊((⫏≰2101011⪛⫏≰2102021)↓(⫏≰20121020↬⫏≰10020102)))⪝(⇠((⫏≰21002101⋖∅⋲)⪍↜⋙⫏≰102202100⫘⫏≰1201011))","cot":[{"info":"⫏≰22102120⩧⪆⫏≰21020220=⫏≰-21020220","layer":3},{"info":"⫏≰12000220⩹⫏≰10202000=⫏≰10201221","layer":3},{"info":"⫏≰-21020220⪒⫏≰10201221=⫏≰10111222","layer":2},{"info":"⫏≰2101011⪛⫏≰2102021=⫏≰2101011","layer":3},{"info":"⫏≰20121020↬⫏≰10020102=NaN","layer":3},{"info":"⫏≰2101011↓NaN=⫏≰-11222","layer":2},{"info":"⫏≰10111222↤⩊⫏≰-11222=NaN","layer":1},{"info":"⫏≰21002101⋖∅⋲=⫏≰-201112001210","layer":3},{"info":"⫏≰102202100⫘⫏≰1201011=⫏≰200222010200011","layer":3},{"info":"⫏≰-201112001210⪍↜⋙⫏≰200222010200011=⫏≰-1021022201002102","layer":2},{"info":"⇠⫏≰-1021022201002102=⫏≰0","layer":1},{"info":"NaN⪝⫏≰0=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"((⨵($1393$∳⫺$1636$))⇪⋭)⨟⋌⩍($1314$⫣⪄⊒$2810$)⊕∕($5338$⊉≛↸$4793$)↞⋁(⇘(⇠$2422$))","expression":"((⨵(⫏≰1220121∳⫺⫏≰2020121))⇪⋭)⨟⋌⩍(⫏≰1210200⫣⪄⊒⫏≰10212002)⊕∕(⫏≰21022201⊉≛↸⫏≰20120112)↞⋁(⇘(⇠⫏≰10022201))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4581,"operation_count":10,"complexity_ratio":458.1,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1393,"base":3},"right_expr":{"type":"numeric_atoms","value":1636,"base":3}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1314,"base":3},"right_expr":{"type":"numeric_atoms","value":2810,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5338,"base":3},"right_expr":{"type":"numeric_atoms","value":4793,"base":3}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2422,"base":3}}}}},"used_operators":["rGHVDoGpnC","Z8Yg6dlDSp","Tl3Y52tvF8","AzXXKTstlj","RqrPlJkxDo","9cloC0Ngie","RabNbG55vr","DZ8iAZOCBD","MGuIdZPyUC","18saOjeKKm"],"dependent_operators":["Tcnh7f0tEr","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1393","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1636, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=9095","layer":2},{"info":"compute unary expreesion, input=9095, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"number node, value=1314","layer":4},{"info":"number node, value=2810","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=2810, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14744","layer":3},{"info":"number node, value=5338","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=5338, right_input=4793, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10676","layer":3},{"info":"compute binary expreesion, left_input=-14744, right_input=10676, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-14744","layer":2},{"info":"number node, value=2422","layer":4},{"info":"compute unary expreesion, input=2422, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2180","layer":3},{"info":"compute unary expreesion, input=-2180, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-161580881","layer":2},{"info":"compute binary expreesion, left_input=-14744, right_input=-161580881, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-14744","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14744, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":3,"result_base":3,"text":"((⨵(⫏≰1220121∳⫺⫏≰2020121))⇪⋭)⨟⋌⩍(⫏≰1210200⫣⪄⊒⫏≰10212002)⊕∕(⫏≰21022201⊉≛↸⫏≰20120112)↞⋁(⇘(⇠⫏≰10022201))=NaN","reverse_text":"NaN=((⨵(⫏≰1220121∳⫺⫏≰2020121))⇪⋭)⨟⋌⩍(⫏≰1210200⫣⪄⊒⫏≰10212002)⊕∕(⫏≰21022201⊉≛↸⫏≰20120112)↞⋁(⇘(⇠⫏≰10022201))","cot":[{"info":"⫏≰1220121∳⫺⫏≰2020121=⫏≰-100122","layer":3},{"info":"⨵⫏≰-100122=⫏≰110110212","layer":2},{"info":"⫏≰110110212⇪⋭=NaN","layer":1},{"info":"⫏≰1210200⫣⪄⊒⫏≰10212002=⫏≰-202020002","layer":3},{"info":"⫏≰21022201⊉≛↸⫏≰20120112=⫏≰112122102","layer":3},{"info":"⫏≰-202020002⊕∕⫏≰112122102=⫏≰-202020002","layer":2},{"info":"⇠⫏≰10022201=⫏≰-2222202","layer":3},{"info":"⇘⫏≰-2222202=⫏≰-102021001011022002","layer":2},{"info":"⫏≰-202020002↞⋁⫏≰-102021001011022002=⫏≰-202020002","layer":1},{"info":"NaN⨟⋌⩍⫏≰-202020002=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"($1850$+⇶⊼$1645$⨽⪊≇)⨸(⩪∧⨌$4754$↬$3261$)⫸⊐(((⇾⩊⇾$1198$)-$1660$⊭↱$1840$)∧)","expression":"(⫏≰2112112+⇶⊼⫏≰2020221⨽⪊≇)⨸(⩪∧⨌⫏≰20112002↬⫏≰11110210)⫸⊐(((⇾⩊⇾⫏≰1122101)-⫏≰2021111⊭↱⫏≰2112011)∧)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":162,"operation_count":10,"complexity_ratio":16.2,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1850,"base":3},"right_expr":{"type":"numeric_atoms","value":1645,"base":3}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4754,"base":3},"right_expr":{"type":"numeric_atoms","value":3261,"base":3}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1198,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1660,"base":3},"right_expr":{"type":"numeric_atoms","value":1840,"base":3}}}}},"used_operators":["mqXw5SEYmG","KmoU8R5UQR","nlCqmYiOvY","TpPTUOHfaN","6iOiAJX1F8","B5M0gjZbta","z63VuFQld9","rysDP5nf3Z","bx9Z9DAK5y","COABgblf1C"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","AHs5Up7iyr","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1850","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=1645, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=nan","layer":2},{"info":"number node, value=4754","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=3261, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"number node, value=1198","layer":4},{"info":"compute unary expreesion, input=1198, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-17268","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1840, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=365","layer":3},{"info":"compute binary expreesion, left_input=-17268, right_input=365, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-17633","layer":2},{"info":"compute unary expreesion, input=-17633, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2112112+⇶⊼⫏≰2020221⨽⪊≇)⨸(⩪∧⨌⫏≰20112002↬⫏≰11110210)⫸⊐(((⇾⩊⇾⫏≰1122101)-⫏≰2021111⊭↱⫏≰2112011)∧)=NaN","reverse_text":"NaN=(⫏≰2112112+⇶⊼⫏≰2020221⨽⪊≇)⨸(⩪∧⨌⫏≰20112002↬⫏≰11110210)⫸⊐(((⇾⩊⇾⫏≰1122101)-⫏≰2021111⊭↱⫏≰2112011)∧)","cot":[{"info":"⫏≰2112112+⇶⊼⫏≰2020221=NaN","layer":3},{"info":"NaN⨽⪊≇=NaN","layer":2},{"info":"⫏≰20112002↬⫏≰11110210=NaN","layer":3},{"info":"⩪∧⨌NaN=NaN","layer":2},{"info":"NaN⨸NaN=NaN","layer":1},{"info":"⇾⩊⇾⫏≰1122101=⫏≰-212200120","layer":3},{"info":"⫏≰2021111⊭↱⫏≰2112011=⫏≰111112","layer":3},{"info":"⫏≰-212200120-⫏≰111112=⫏≰-220012002","layer":2},{"info":"⫏≰-220012002∧=⫏≰0","layer":1},{"info":"NaN⫸⊐⫏≰0=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"$1958$⊮⊟↴$1595$⇤(≀↧⇸$3344$)⊉↱≁(≇⪴$5938$⫁⪎$3589$)+⪬∐(-((≪$4091$)↦))","expression":"⫏≰2200112⊮⊟↴⫏≰2012002⇤(≀↧⇸⫏≰11120212)⊉↱≁(≇⪴⫏≰22010221⫁⪎⫏≰11220221)+⪬∐(-((≪⫏≰12121112)↦))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":224101,"operation_count":10,"complexity_ratio":22410.1,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1958,"base":3},"right_expr":{"type":"numeric_atoms","value":1595,"base":3}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3344,"base":3}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5938,"base":3},"right_expr":{"type":"numeric_atoms","value":3589,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":4091,"base":3}}}}},"used_operators":["2GS7woTJqF","w2P8NbNXyL","YSKBFp38Pu","QDVgd2eftb","ljTHtUsqzn","zoVPnxeHJ3","xRrnTEsQ6j","t8gj7n24qd","fFznvYxMfW","Qtd6bqUJcN"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"⫏≰1112120121020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1958","layer":4},{"info":"number node, value=1595","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1595, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=3344","layer":4},{"info":"compute unary expreesion, input=3344, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=6688","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6688, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-30592","layer":2},{"info":"number node, value=5938","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=5938, right_input=3589, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2349","layer":3},{"info":"compute unary expreesion, input=2349, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5707","layer":2},{"info":"compute binary expreesion, left_input=-30592, right_input=-5707, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-272792","layer":1},{"info":"number node, value=4091","layer":4},{"info":"compute unary expreesion, input=4091, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute unary expreesion, input=913, 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":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-272792, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=818376","layer":0}],"base":3,"result_base":3,"text":"⫏≰2200112⊮⊟↴⫏≰2012002⇤(≀↧⇸⫏≰11120212)⊉↱≁(≇⪴⫏≰22010221⫁⪎⫏≰11220221)+⪬∐(-((≪⫏≰12121112)↦))=⫏≰1112120121020","reverse_text":"⫏≰1112120121020=⫏≰2200112⊮⊟↴⫏≰2012002⇤(≀↧⇸⫏≰11120212)⊉↱≁(≇⪴⫏≰22010221⫁⪎⫏≰11220221)+⪬∐(-((≪⫏≰12121112)↦))","cot":[{"info":"⫏≰2200112⊮⊟↴⫏≰2012002=⫏≰0","layer":3},{"info":"≀↧⇸⫏≰11120212=⫏≰100011201","layer":3},{"info":"⫏≰0⇤⫏≰100011201=⫏≰-1112222001","layer":2},{"info":"⫏≰22010221⫁⪎⫏≰11220221=⫏≰10020000","layer":3},{"info":"≇⪴⫏≰10020000=⫏≰-21211101","layer":2},{"info":"⫏≰-1112222001⊉↱≁⫏≰-21211101=⫏≰-111212012102","layer":1},{"info":"≪⫏≰12121112=⫏≰1020211","layer":3},{"info":"⫏≰1020211↦=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫏≰-111212012102+⪬∐NaN=⫏≰1112120121020","layer":0}]}
{"id":510,"expression_no_base_symbol":"($2622$↡⊰⫅$3375$)∀⇚≩($6336$⪊≅)⋾⨃∁(($1667$⨐⩸⫘$4530$)≬⇓(↩$2743$))⪕(⇋⊎⋝($5471$≴⪞⇿$3238$))⊋(⊑$2109$)∋($1332$⊝⪿⪼$1935$)","expression":"(⫏≰10121010↡⊰⫅⫏≰11122000)∀⇚≩(⫏≰22200200⪊≅)⋾⨃∁((⫏≰2021202⨐⩸⫘⫏≰20012210)≬⇓(↩⫏≰10202121))⪕(⇋⊎⋝(⫏≰21111122≴⪞⇿⫏≰11102221))⊋(⊑⫏≰2220010)∋(⫏≰1211100⊝⪿⪼⫏≰2122200)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":100381,"operation_count":14,"complexity_ratio":7170.071428571428,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2622,"base":3},"right_expr":{"type":"numeric_atoms","value":3375,"base":3}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":6336,"base":3}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1667,"base":3},"right_expr":{"type":"numeric_atoms","value":4530,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2743,"base":3}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5471,"base":3},"right_expr":{"type":"numeric_atoms","value":3238,"base":3}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2109,"base":3}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1332,"base":3},"right_expr":{"type":"numeric_atoms","value":1935,"base":3}}}}},"used_operators":["umQnsF7QlU","212REbPD9h","LRNGc0VcxI","VCtxkLNOzz","bjFbhXSADs","jWTQ2TZYIH","fu6greOZ01","jLgFTUHLKL","W4tP9CfskL","CzM2PEoXns","lvlrscuwVU","ukq6epAj5P","IkUmn0D7oy","3Oe9XWJUTD"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","X99M06cbEe","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⫏≰1021122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2622","layer":4},{"info":"number node, value=3375","layer":4},{"info":"compute binary expreesion, left_input=2622, right_input=3375, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6750","layer":3},{"info":"number node, value=6336","layer":4},{"info":"compute unary expreesion, input=6336, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6750, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1667","layer":4},{"info":"number node, value=4530","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=4530, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2743","layer":4},{"info":"compute unary expreesion, input=2743, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19164","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-19164, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"number node, value=5471","layer":4},{"info":"number node, value=3238","layer":4},{"info":"compute binary expreesion, left_input=5471, right_input=3238, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=54038642","layer":3},{"info":"compute unary expreesion, input=54038642, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=1935, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=29912","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=29912, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=61933976","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=61933976, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10121010↡⊰⫅⫏≰11122000)∀⇚≩(⫏≰22200200⪊≅)⋾⨃∁((⫏≰2021202⨐⩸⫘⫏≰20012210)≬⇓(↩⫏≰10202121))⪕(⇋⊎⋝(⫏≰21111122≴⪞⇿⫏≰11102221))⊋(⊑⫏≰2220010)∋(⫏≰1211100⊝⪿⪼⫏≰2122200)=⫏≰1021122","reverse_text":"⫏≰1021122=(⫏≰10121010↡⊰⫅⫏≰11122000)∀⇚≩(⫏≰22200200⪊≅)⋾⨃∁((⫏≰2021202⨐⩸⫘⫏≰20012210)≬⇓(↩⫏≰10202121))⪕(⇋⊎⋝(⫏≰21111122≴⪞⇿⫏≰11102221))⊋(⊑⫏≰2220010)∋(⫏≰1211100⊝⪿⪼⫏≰2122200)","cot":[{"info":"⫏≰10121010↡⊰⫅⫏≰11122000=⫏≰100021000","layer":3},{"info":"⫏≰22200200⪊≅=⫏≰0","layer":3},{"info":"⫏≰100021000∀⇚≩⫏≰0=NaN","layer":2},{"info":"⫏≰2021202⨐⩸⫘⫏≰20012210=NaN","layer":3},{"info":"↩⫏≰10202121=⫏≰-222021210","layer":3},{"info":"NaN≬⇓⫏≰-222021210=NaN","layer":2},{"info":"NaN⋾⨃∁NaN=NaN","layer":1},{"info":"⫏≰21111122≴⪞⇿⫏≰11102221=⫏≰10202200110002012","layer":3},{"info":"⇋⊎⋝⫏≰10202200110002012=NaN","layer":2},{"info":"⊑⫏≰2220010=⫏≰21010","layer":3},{"info":"⫏≰1211100⊝⪿⪼⫏≰2122200=⫏≰1112000212","layer":3},{"info":"⫏≰21010∋⫏≰1112000212=⫏≰11022112120102222","layer":2},{"info":"NaN⊋⫏≰11022112120102222=NaN","layer":1},{"info":"NaN⪕NaN=⫏≰1021122","layer":0}]}
{"id":511,"expression_no_base_symbol":"∤(($4969$⪨≂$1117$)⨚($4001$⪛$5725$))↤⩊(($4011$⨘)⊋(⨈⪑$1274$))","expression":"∤((⫏≰20211001⪨≂⫏≰1112101)⨚(⫏≰12111012⪛⫏≰21212001))↤⩊((⫏≰12111120⨘)⊋(⨈⪑⫏≰1202012))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7489,"operation_count":8,"complexity_ratio":936.125,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4969,"base":3},"right_expr":{"type":"numeric_atoms","value":1117,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4001,"base":3},"right_expr":{"type":"numeric_atoms","value":5725,"base":3}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":4011,"base":3}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1274,"base":3}}}}},"used_operators":["k2HlF1dBQh","13rbtpv6ld","nREPSIbpBE","sdazOOVcIp","uFcxV4UQCh","W4tP9CfskL","ljcfZBUpm8","mp94q5OcYM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4969","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=4969, right_input=1117, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7806","layer":3},{"info":"number node, value=4001","layer":4},{"info":"number node, value=5725","layer":4},{"info":"compute binary expreesion, left_input=4001, right_input=5725, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4001","layer":3},{"info":"compute binary expreesion, left_input=7806, right_input=4001, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=542","layer":2},{"info":"number node, value=4011","layer":4},{"info":"compute unary expreesion, input=4011, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-28852","layer":3},{"info":"number node, value=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-28852, right_input=868, 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=-186990300","layer":2},{"info":"compute binary expreesion, left_input=542, right_input=-186990300, 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 unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∤((⫏≰20211001⪨≂⫏≰1112101)⨚(⫏≰12111012⪛⫏≰21212001))↤⩊((⫏≰12111120⨘)⊋(⨈⪑⫏≰1202012))=NaN","reverse_text":"NaN=∤((⫏≰20211001⪨≂⫏≰1112101)⨚(⫏≰12111012⪛⫏≰21212001))↤⩊((⫏≰12111120⨘)⊋(⨈⪑⫏≰1202012))","cot":[{"info":"⫏≰20211001⪨≂⫏≰1112101=⫏≰101201010","layer":3},{"info":"⫏≰12111012⪛⫏≰21212001=⫏≰12111012","layer":3},{"info":"⫏≰101201010⨚⫏≰12111012=⫏≰202002","layer":2},{"info":"⫏≰12111120⨘=⫏≰-1110120121","layer":3},{"info":"⨈⪑⫏≰1202012=⫏≰1012011","layer":3},{"info":"⫏≰-1110120121⊋⫏≰1012011=⫏≰-111000212002110200","layer":2},{"info":"⫏≰202002↤⩊⫏≰-111000212002110200=NaN","layer":1},{"info":"∤NaN=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"(⊁⨺(⇵⪽($3782$⨭⪣$5864$)))⊉↱≁(($6278$≃$2580$)⇍⊗$3014$∓⋝$4226$⪘⫢((↥$1190$)⊟⇱))","expression":"(⊁⨺(⇵⪽(⫏≰12012002⨭⪣⫏≰22001012)))⊉↱≁((⫏≰22121112≃⫏≰10112120)⇍⊗⫏≰11010122∓⋝⫏≰12210112⪘⫢((↥⫏≰1122002)⊟⇱))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":632,"operation_count":10,"complexity_ratio":63.2,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3782,"base":3},"right_expr":{"type":"numeric_atoms","value":5864,"base":3}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":6278,"base":3},"right_expr":{"type":"numeric_atoms","value":2580,"base":3}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3014,"base":3},"right_expr":{"type":"numeric_atoms","value":4226,"base":3}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1190,"base":3}}}}},"used_operators":["w2P8NbNXyL","PxiHyQbrIp","ZGCBLdVRRX","kn8WO9XteQ","oacrs7FA3X","5uvYHDjeKN","YbVcJGFEVW","PoHhknlbAi","03sUfWo75k","A8NUZmVepG"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","U7g4x0WXJJ","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","IWmyXbctLI","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3782","layer":4},{"info":"number node, value=5864","layer":4},{"info":"compute binary expreesion, left_input=3782, right_input=5864, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2503","layer":3},{"info":"compute unary expreesion, input=2503, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=nan","layer":1},{"info":"number node, value=6278","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=6278, right_input=2580, 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=-25152","layer":3},{"info":"number node, value=3014","layer":4},{"info":"number node, value=4226","layer":4},{"info":"compute binary expreesion, left_input=3014, right_input=4226, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-25152, right_input=67, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"compute unary expreesion, input=17, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=350","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=350, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊁⨺(⇵⪽(⫏≰12012002⨭⪣⫏≰22001012)))⊉↱≁((⫏≰22121112≃⫏≰10112120)⇍⊗⫏≰11010122∓⋝⫏≰12210112⪘⫢((↥⫏≰1122002)⊟⇱))=NaN","reverse_text":"NaN=(⊁⨺(⇵⪽(⫏≰12012002⨭⪣⫏≰22001012)))⊉↱≁((⫏≰22121112≃⫏≰10112120)⇍⊗⫏≰11010122∓⋝⫏≰12210112⪘⫢((↥⫏≰1122002)⊟⇱))","cot":[{"info":"⫏≰12012002⨭⪣⫏≰22001012=⫏≰10102201","layer":3},{"info":"⇵⪽⫏≰10102201=NaN","layer":2},{"info":"⊁⨺NaN=NaN","layer":1},{"info":"⫏≰22121112≃⫏≰10112120=⫏≰-1021111120","layer":3},{"info":"⫏≰11010122∓⋝⫏≰12210112=⫏≰2111","layer":3},{"info":"⫏≰-1021111120⇍⊗⫏≰2111=⫏≰-100001","layer":2},{"info":"↥⫏≰1122002=⫏≰122","layer":3},{"info":"⫏≰122⊟⇱=⫏≰110222","layer":2},{"info":"⫏≰-100001⪘⫢⫏≰110222=⫏≰0","layer":1},{"info":"NaN⊉↱≁⫏≰0=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"⩷(($1437$⇂≾⫗$1466$⋳⪒($6034$∙∹∝$2346$))≃($1926$⩇∃⫛$2575$)⊋(⪝⪂⫅$1535$))","expression":"⩷((⫏≰1222020⇂≾⫗⫏≰2000022⋳⪒(⫏≰22021111∙∹∝⫏≰10012220))≃(⫏≰2122100⩇∃⫛⫏≰10112101)⊋(⪝⪂⫅⫏≰2002212))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":344,"operation_count":8,"complexity_ratio":43.0,"tree":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1437,"base":3},"right_expr":{"type":"numeric_atoms","value":1466,"base":3}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6034,"base":3},"right_expr":{"type":"numeric_atoms","value":2346,"base":3}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1926,"base":3},"right_expr":{"type":"numeric_atoms","value":2575,"base":3}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1535,"base":3}}}}},"used_operators":["1h0rLqGiFr","YbVcJGFEVW","12rbrZMWeM","aBQ6xLxuTc","HmxsFra2vL","W4tP9CfskL","1aApVXNlOP","XTarYq4gQB"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫏≰-120010002200020111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1437","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1466, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=6034","layer":4},{"info":"number node, value=2346","layer":4},{"info":"compute binary expreesion, left_input=6034, right_input=2346, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1639","layer":2},{"info":"number node, value=1926","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=2575, 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=1122","layer":3},{"info":"number node, value=1535","layer":4},{"info":"compute unary expreesion, input=1535, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-225645","layer":3},{"info":"compute binary expreesion, left_input=1122, right_input=-225645, 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=-4518354","layer":2},{"info":"compute binary expreesion, left_input=-1639, right_input=-4518354, 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=18073376","layer":1},{"info":"compute unary expreesion, input=18073376, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-216880591","layer":0}],"base":3,"result_base":3,"text":"⩷((⫏≰1222020⇂≾⫗⫏≰2000022⋳⪒(⫏≰22021111∙∹∝⫏≰10012220))≃(⫏≰2122100⩇∃⫛⫏≰10112101)⊋(⪝⪂⫅⫏≰2002212))=⫏≰-120010002200020111","reverse_text":"⫏≰-120010002200020111=⩷((⫏≰1222020⇂≾⫗⫏≰2000022⋳⪒(⫏≰22021111∙∹∝⫏≰10012220))≃(⫏≰2122100⩇∃⫛⫏≰10112101)⊋(⪝⪂⫅⫏≰2002212))","cot":[{"info":"⫏≰1222020⇂≾⫗⫏≰2000022=⫏≰-221001","layer":3},{"info":"⫏≰22021111∙∹∝⫏≰10012220=⫏≰0","layer":3},{"info":"⫏≰-221001⋳⪒⫏≰0=⫏≰-2020201","layer":2},{"info":"⫏≰2122100⩇∃⫛⫏≰10112101=⫏≰1112120","layer":3},{"info":"⪝⪂⫅⫏≰2002212=⫏≰-102110112020","layer":3},{"info":"⫏≰1112120⊋⫏≰-102110112020=⫏≰-22111120000110","layer":2},{"info":"⫏≰-2020201≃⫏≰-22111120000110=⫏≰1021000020000022","layer":1},{"info":"⩷⫏≰1021000020000022=⫏≰-120010002200020111","layer":0}]}
{"id":514,"expression_no_base_symbol":"((↓⇌$2635$)⫘(↣≠⋷$5017$))⨼⩣((⇖$2861$)∈)⪶≀⋏(⫟$5377$⋕⪉⪜$1258$)∌↝($1049$⇽⩪)≁($1020$≝⊿$3380$)","expression":"((↓⇌⫏≰10121121)⫘(↣≠⋷⫏≰20212211))⨼⩣((⇖⫏≰10220222)∈)⪶≀⋏(⫟⫏≰21101011⋕⪉⪜⫏≰1201121)∌↝(⫏≰1102212⇽⩪)≁(⫏≰1101210≝⊿⫏≰11122012)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14171,"operation_count":13,"complexity_ratio":1090.076923076923,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2635,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5017,"base":3}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2861,"base":3}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5377,"base":3},"right_expr":{"type":"numeric_atoms","value":1258,"base":3}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1049,"base":3}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1020,"base":3},"right_expr":{"type":"numeric_atoms","value":3380,"base":3}}}}},"used_operators":["zR4jO40bMj","JxwMv5le6e","48vC8HMD2b","PxpmPgHHJV","Asc51vEJeQ","ztP7wcbY7m","tfWHHpNKUN","9Isq31Ruls","z4E1FaHLuy","z6LnFrNh4i","8N2wDY1A35","FonBHBYJbU","OKKcZfAt5B"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","2DQ55sFlQl","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2635","layer":4},{"info":"compute unary expreesion, input=2635, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2635","layer":3},{"info":"number node, value=5017","layer":4},{"info":"compute unary expreesion, input=5017, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2635, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3103165","layer":2},{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-191","layer":2},{"info":"compute binary expreesion, left_input=3103165, right_input=-191, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=5377","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=5377, right_input=1258, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, 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=-7499","layer":2},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=2620","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3380","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3380, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8313","layer":3},{"info":"compute binary expreesion, left_input=2620, right_input=-8313, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-243253","layer":2},{"info":"compute binary expreesion, left_input=-7499, right_input=-243253, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-7499","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7499, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↓⇌⫏≰10121121)⫘(↣≠⋷⫏≰20212211))⨼⩣((⇖⫏≰10220222)∈)⪶≀⋏(⫟⫏≰21101011⋕⪉⪜⫏≰1201121)∌↝(⫏≰1102212⇽⩪)≁(⫏≰1101210≝⊿⫏≰11122012)=NaN","reverse_text":"NaN=((↓⇌⫏≰10121121)⫘(↣≠⋷⫏≰20212211))⨼⩣((⇖⫏≰10220222)∈)⪶≀⋏(⫟⫏≰21101011⋕⪉⪜⫏≰1201121)∌↝(⫏≰1102212⇽⩪)≁(⫏≰1101210≝⊿⫏≰11122012)","cot":[{"info":"↓⇌⫏≰10121121=⫏≰10121121","layer":3},{"info":"↣≠⋷⫏≰20212211=NaN","layer":3},{"info":"⫏≰10121121⫘NaN=⫏≰12211122202001","layer":2},{"info":"⇖⫏≰10220222=⫏≰12221","layer":3},{"info":"⫏≰12221∈=⫏≰-21002","layer":2},{"info":"⫏≰12211122202001⨼⩣⫏≰-21002=NaN","layer":1},{"info":"⫏≰21101011⋕⪉⪜⫏≰1201121=⫏≰10211210","layer":3},{"info":"⫟⫏≰10211210=⫏≰-101021202","layer":2},{"info":"⫏≰1102212⇽⩪=⫏≰10121001","layer":3},{"info":"⫏≰1101210≝⊿⫏≰11122012=⫏≰-102101220","layer":3},{"info":"⫏≰10121001≁⫏≰-102101220=⫏≰-110100200101","layer":2},{"info":"⫏≰-101021202∌↝⫏≰-110100200101=⫏≰-101021202","layer":1},{"info":"NaN⪶≀⋏⫏≰-101021202=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"((⨵≀≌$1592$⇌⫙⪟$7975$)⊓⋫)⨰(⪸($3419$∛$1255$))↤⩊(∑⇻≧($2632$↦))","expression":"((⨵≀≌⫏≰2011222⇌⫙⪟⫏≰101221101)⊓⋫)⨰(⪸(⫏≰11200122∛⫏≰1201111))↤⩊(∑⇻≧(⫏≰10121111↦))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":224653,"operation_count":9,"complexity_ratio":24961.444444444445,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1592,"base":3},"right_expr":{"type":"numeric_atoms","value":7975,"base":3}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3419,"base":3},"right_expr":{"type":"numeric_atoms","value":1255,"base":3}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":2632,"base":3}}}}},"used_operators":["eewbuw0ToL","IqGBaFP0uj","srAu1WTS94","AFVx7xoS7T","13rbtpv6ld","86A5ENbKR9","w2537kitQq","l1M9WJ3V7u","fFznvYxMfW"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1592","layer":4},{"info":"number node, value=7975","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=7975, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=12769","layer":2},{"info":"compute unary expreesion, input=12769, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-12897","layer":1},{"info":"number node, value=3419","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=3419, right_input=1255, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-930","layer":2},{"info":"number node, value=2632","layer":4},{"info":"compute unary expreesion, input=2632, 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":3},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=-930, right_input=-852, 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=-12897, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨵≀≌⫏≰2011222⇌⫙⪟⫏≰101221101)⊓⋫)⨰(⪸(⫏≰11200122∛⫏≰1201111))↤⩊(∑⇻≧(⫏≰10121111↦))=NaN","reverse_text":"NaN=((⨵≀≌⫏≰2011222⇌⫙⪟⫏≰101221101)⊓⋫)⨰(⪸(⫏≰11200122∛⫏≰1201111))↤⩊(∑⇻≧(⫏≰10121111↦))","cot":[{"info":"⫏≰2011222⇌⫙⪟⫏≰101221101=⫏≰11012","layer":3},{"info":"⨵≀≌⫏≰11012=⫏≰122111221","layer":2},{"info":"⫏≰122111221⊓⋫=⫏≰-122200200","layer":1},{"info":"⫏≰11200122∛⫏≰1201111=⫏≰2111","layer":3},{"info":"⪸⫏≰2111=⫏≰-1021110","layer":2},{"info":"⫏≰10121111↦=NaN","layer":3},{"info":"∑⇻≧NaN=⫏≰-1011120","layer":2},{"info":"⫏≰-1021110↤⩊⫏≰-1011120=NaN","layer":1},{"info":"⫏≰-122200200⨰NaN=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"(⊵⊁($2929$⇴∐$1861$))∝$2764$⫘$1137$⪭≯$1062$→⨶⪴$8895$↬⩅∪","expression":"(⊵⊁(⫏≰11000111⇴∐⫏≰2112221))∝⫏≰10210101⫘⫏≰1120010⪭≯⫏≰1110100→⨶⪴⫏≰110012110↬⩅∪","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3200,"operation_count":7,"complexity_ratio":457.14285714285717,"tree":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2929,"base":3},"right_expr":{"type":"numeric_atoms","value":1861,"base":3}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2764,"base":3},"right_expr":{"type":"numeric_atoms","value":1137,"base":3}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1062,"base":3},"right_expr":{"type":"numeric_atoms","value":8895,"base":3}}}}},"used_operators":["VJ330n2nnx","cTDWOvIxvz","AvED76WdY7","HnzytWxmAO","XAx5wpdLa6","48vC8HMD2b","bF6eod5Gvf"],"dependent_operators":["D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","uBihLCJcMX","k8jYdgA6NY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2929","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=2929, right_input=1861, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":2},{"info":"number node, value=2764","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=1137, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3254869","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=8895","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=8895, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-26685","layer":3},{"info":"compute binary expreesion, left_input=3254869, right_input=-26685, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊵⊁(⫏≰11000111⇴∐⫏≰2112221))∝⫏≰10210101⫘⫏≰1120010⪭≯⫏≰1110100→⨶⪴⫏≰110012110↬⩅∪=NaN","reverse_text":"NaN=(⊵⊁(⫏≰11000111⇴∐⫏≰2112221))∝⫏≰10210101⫘⫏≰1120010⪭≯⫏≰1110100→⨶⪴⫏≰110012110↬⩅∪","cot":[{"info":"⫏≰11000111⇴∐⫏≰2112221=NaN","layer":3},{"info":"⊵⊁NaN=NaN","layer":2},{"info":"⫏≰10210101⫘⫏≰1120010=⫏≰20010100211201","layer":3},{"info":"⫏≰1110100→⨶⪴⫏≰110012110=⫏≰-1100121100","layer":3},{"info":"⫏≰20010100211201⪭≯⫏≰-1100121100=NaN","layer":2},{"info":"NaN∝NaN=NaN","layer":1},{"info":"NaN↬⩅∪=NaN","layer":0}]}
{"id":517,"expression_no_base_symbol":"≦∁(⊬↢($3263$∥⊢⊲$1450$↸(⇋⊎⋝$1063$)))","expression":"≦∁(⊬↢(⫏≰11110212∥⊢⊲⫏≰1222201↸(⇋⊎⋝⫏≰1110101)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1127,"operation_count":5,"complexity_ratio":225.4,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3263,"base":3},"right_expr":{"type":"numeric_atoms","value":1450,"base":3}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1063,"base":3}}}}},"used_operators":["9ICcGScMcE","WPoGxAaPR1","1eCjFl0mb9","v1UQAVDJRr","CzM2PEoXns"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","EBcxylXtPf","rGHVDoGpnC","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3263","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=1450, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1063","layer":4},{"info":"compute unary expreesion, input=1063, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≦∁(⊬↢(⫏≰11110212∥⊢⊲⫏≰1222201↸(⇋⊎⋝⫏≰1110101)))=NaN","reverse_text":"NaN=≦∁(⊬↢(⫏≰11110212∥⊢⊲⫏≰1222201↸(⇋⊎⋝⫏≰1110101)))","cot":[{"info":"⫏≰11110212∥⊢⊲⫏≰1222201=NaN","layer":3},{"info":"⇋⊎⋝⫏≰1110101=NaN","layer":3},{"info":"NaN↸NaN=NaN","layer":2},{"info":"⊬↢NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":518,"expression_no_base_symbol":"(($2217$⪢$3564$⨑≵⋬$1035$≧⫂∧$2941$)⇆⨓≜)⋕⪉⪜((($1058$∛≔)↱($1759$⪒$3208$))⨐(($3150$⇴$1192$)⊱⇼⊻(⨵$1068$)))","expression":"((⫏≰10001010⪢⫏≰11220000⨑≵⋬⫏≰1102100≧⫂∧⫏≰11000221)⇆⨓≜)⋕⪉⪜(((⫏≰1110012∛≔)↱(⫏≰2102011⪒⫏≰11101211))⨐((⫏≰11022200⇴⫏≰1122011)⊱⇼⊻(⨵⫏≰1110120)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5351,"operation_count":12,"complexity_ratio":445.9166666666667,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2217,"base":3},"right_expr":{"type":"numeric_atoms","value":3564,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1035,"base":3},"right_expr":{"type":"numeric_atoms","value":2941,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1058,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1759,"base":3},"right_expr":{"type":"numeric_atoms","value":3208,"base":3}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3150,"base":3},"right_expr":{"type":"numeric_atoms","value":1192,"base":3}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1068,"base":3}}}}},"used_operators":["z6LnFrNh4i","KvvgdUaMHJ","XnXgA4xnOs","dWAJyo7jo9","Ph9nP6C5qx","Noe24qw2ks","SR5kFfdi6N","mGnSCrte3L","f6k1SAg4EE","FyVja0WsTP","4JB6nKBMSY","Tl3Y52tvF8"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Uaa54Peajs","KYD54nUTWz","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","sdazOOVcIp","NTOWxs364D","COABgblf1C","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"⫏≰21120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"number node, value=3564","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=3564, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=2941, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2468, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":3},{"info":"number node, value=1759","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=3208, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4967","layer":3},{"info":"compute binary expreesion, left_input=-305287, right_input=-4967, 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=-24424","layer":2},{"info":"number node, value=3150","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=3150, right_input=1192, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20898","layer":3},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-9753","layer":3},{"info":"compute binary expreesion, left_input=20898, right_input=-9753, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=86394","layer":2},{"info":"compute binary expreesion, left_input=-24424, right_input=86394, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=48848","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=48848, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10001010⪢⫏≰11220000⨑≵⋬⫏≰1102100≧⫂∧⫏≰11000221)⇆⨓≜)⋕⪉⪜(((⫏≰1110012∛≔)↱(⫏≰2102011⪒⫏≰11101211))⨐((⫏≰11022200⇴⫏≰1122011)⊱⇼⊻(⨵⫏≰1110120)))=⫏≰21120","reverse_text":"⫏≰21120=((⫏≰10001010⪢⫏≰11220000⨑≵⋬⫏≰1102100≧⫂∧⫏≰11000221)⇆⨓≜)⋕⪉⪜(((⫏≰1110012∛≔)↱(⫏≰2102011⪒⫏≰11101211))⨐((⫏≰11022200⇴⫏≰1122011)⊱⇼⊻(⨵⫏≰1110120)))","cot":[{"info":"⫏≰10001010⪢⫏≰11220000=NaN","layer":3},{"info":"⫏≰1102100≧⫂∧⫏≰11000221=⫏≰10101102","layer":3},{"info":"NaN⨑≵⋬⫏≰10101102=NaN","layer":2},{"info":"NaN⇆⨓≜=NaN","layer":1},{"info":"⫏≰1110012∛≔=⫏≰-120111202221","layer":3},{"info":"⫏≰2102011⪒⫏≰11101211=⫏≰-20210222","layer":3},{"info":"⫏≰-120111202221↱⫏≰-20210222=⫏≰-1020111121","layer":2},{"info":"⫏≰11022200⇴⫏≰1122011=⫏≰1001200000","layer":3},{"info":"⨵⫏≰1110120=⫏≰-111101020","layer":3},{"info":"⫏≰1001200000⊱⇼⊻⫏≰-111101020=⫏≰11101111210","layer":2},{"info":"⫏≰-1020111121⨐⫏≰11101111210=⫏≰2111000012","layer":1},{"info":"NaN⋕⪉⪜⫏≰2111000012=⫏≰21120","layer":0}]}
{"id":519,"expression_no_base_symbol":"(($4952$⪉⨛$1864$)⫁($5944$⨓$2767$))⇂≾⫗((⇤←$1881$)⪕(⩷$4907$))⊉≛↸(-($1072$⩭)∠⫱(⪹$1961$))","expression":"((⫏≰20210102⪉⨛⫏≰2120001)⫁(⫏≰22011011⨓⫏≰10210111))⇂≾⫗((⇤←⫏≰2120200)⪕(⩷⫏≰20201202))⊉≛↸(-(⫏≰1110201⩭)∠⫱(⪹⫏≰2200122))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":41910,"operation_count":12,"complexity_ratio":3492.5,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4952,"base":3},"right_expr":{"type":"numeric_atoms","value":1864,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5944,"base":3},"right_expr":{"type":"numeric_atoms","value":2767,"base":3}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1881,"base":3}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4907,"base":3}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1072,"base":3}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1961,"base":3}}}}},"used_operators":["DZ8iAZOCBD","aBQ6xLxuTc","0ajvFaJAv0","EWw2JM7wp4","3ViojmjbAp","umQnsF7QlU","jfAgQ2OQeM","1h0rLqGiFr","t8gj7n24qd","QvoQhV0rrE","yIPP7u6H5x","USyYr0JgAa"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4952","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=4952, right_input=1864, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=13207","layer":3},{"info":"number node, value=5944","layer":4},{"info":"number node, value=2767","layer":4},{"info":"compute binary expreesion, left_input=5944, right_input=2767, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2770","layer":3},{"info":"compute binary expreesion, left_input=13207, right_input=-2770, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1881","layer":4},{"info":"compute unary expreesion, input=1881, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-8039","layer":3},{"info":"number node, value=4907","layer":4},{"info":"compute unary expreesion, input=4907, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-58963","layer":3},{"info":"compute binary expreesion, left_input=-8039, right_input=-58963, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=935, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=1961","layer":4},{"info":"compute unary expreesion, input=1961, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1781","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1781, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20210102⪉⨛⫏≰2120001)⫁(⫏≰22011011⨓⫏≰10210111))⇂≾⫗((⇤←⫏≰2120200)⪕(⩷⫏≰20201202))⊉≛↸(-(⫏≰1110201⩭)∠⫱(⪹⫏≰2200122))=NaN","reverse_text":"NaN=((⫏≰20210102⪉⨛⫏≰2120001)⫁(⫏≰22011011⨓⫏≰10210111))⇂≾⫗((⇤←⫏≰2120200)⪕(⩷⫏≰20201202))⊉≛↸(-(⫏≰1110201⩭)∠⫱(⪹⫏≰2200122))","cot":[{"info":"⫏≰20210102⪉⨛⫏≰2120001=⫏≰200010011","layer":3},{"info":"⫏≰22011011⨓⫏≰10210111=⫏≰-10210121","layer":3},{"info":"⫏≰200010011⫁⫏≰-10210121=⫏≰12221","layer":2},{"info":"⇤←⫏≰2120200=⫏≰-102000202","layer":3},{"info":"⩷⫏≰20201202=⫏≰-2222212211","layer":3},{"info":"⫏≰-102000202⪕⫏≰-2222212211=⫏≰1021122","layer":2},{"info":"⫏≰12221⇂≾⫗⫏≰1021122=⫏≰-221001","layer":1},{"info":"⫏≰1110201⩭=NaN","layer":3},{"info":"⪹⫏≰2200122=⫏≰-2102222","layer":3},{"info":"NaN∠⫱⫏≰-2102222=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫏≰-221001⊉≛↸NaN=NaN","layer":0}]}
{"id":520,"expression_no_base_symbol":"⊤⊝(⇙⪊($3589$⨕⋳))⋻⩜⩜($7319$⩧⪆$4569$⩨$1074$⫣⪄⊒$6696$)","expression":"⊤⊝(⇙⪊(⫏≰11220221⨕⋳))⋻⩜⩜(⫏≰101001002⩧⪆⫏≰20021020⩨⫏≰1110210⫣⪄⊒⫏≰100012000)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":486,"operation_count":7,"complexity_ratio":69.42857142857143,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":3589,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":7319,"base":3},"right_expr":{"type":"numeric_atoms","value":4569,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1074,"base":3},"right_expr":{"type":"numeric_atoms","value":6696,"base":3}}}}},"used_operators":["rXAclfmB4M","oDCm7WA9JY","pB6Fcnrjim","4X4GscPmMf","2DlMacCsIx","Ikt5ks8PT7","RabNbG55vr"],"dependent_operators":["sdazOOVcIp","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⫏≰-1210002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3589","layer":4},{"info":"compute unary expreesion, input=3589, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=235460","layer":3},{"info":"compute unary expreesion, input=235460, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=7319","layer":4},{"info":"number node, value=4569","layer":4},{"info":"compute binary expreesion, left_input=7319, right_input=4569, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4569","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=6696","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=6696, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-38540","layer":3},{"info":"compute binary expreesion, left_input=-4569, right_input=-38540, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-24","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-24, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-1298","layer":0}],"base":3,"result_base":3,"text":"⊤⊝(⇙⪊(⫏≰11220221⨕⋳))⋻⩜⩜(⫏≰101001002⩧⪆⫏≰20021020⩨⫏≰1110210⫣⪄⊒⫏≰100012000)=⫏≰-1210002","reverse_text":"⫏≰-1210002=⊤⊝(⇙⪊(⫏≰11220221⨕⋳))⋻⩜⩜(⫏≰101001002⩧⪆⫏≰20021020⩨⫏≰1110210⫣⪄⊒⫏≰100012000)","cot":[{"info":"⫏≰11220221⨕⋳=⫏≰102221222202","layer":3},{"info":"⇙⪊⫏≰102221222202=⫏≰0","layer":2},{"info":"⫏≰101001002⩧⪆⫏≰20021020=⫏≰-20021020","layer":3},{"info":"⫏≰1110210⫣⪄⊒⫏≰100012000=⫏≰-1221212102","layer":3},{"info":"⫏≰-20021020⩨⫏≰-1221212102=⫏≰-220","layer":2},{"info":"⫏≰0⋻⩜⩜⫏≰-220=⫏≰0","layer":1},{"info":"⊤⊝⫏≰0=⫏≰-1210002","layer":0}]}
{"id":521,"expression_no_base_symbol":"≸(($2764$⨴∎)⪄($3152$↸$1346$))⪒⊣⊆(($6805$⋻⩜⩜$8427$)⨐⩸⫘$1622$≨$1905$)","expression":"≸((⫏≰10210101⨴∎)⪄(⫏≰11022202↸⫏≰1211212))⪒⊣⊆((⫏≰100100001⋻⩜⩜⫏≰102120010)⨐⩸⫘⫏≰2020002≨⫏≰2121120)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":122290,"operation_count":8,"complexity_ratio":15286.25,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2764,"base":3}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3152,"base":3},"right_expr":{"type":"numeric_atoms","value":1346,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6805,"base":3},"right_expr":{"type":"numeric_atoms","value":8427,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1622,"base":3},"right_expr":{"type":"numeric_atoms","value":1905,"base":3}}}}},"used_operators":["eOf03JbCpp","eRqsBgTDFp","SUmda5xLS4","CpSg5vQTgA","1eCjFl0mb9","fu6greOZ01","oDCm7WA9JY","0KMCeP1Jsh"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","sdazOOVcIp","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","3ViojmjbAp","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⫏≰2011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2764","layer":4},{"info":"compute unary expreesion, input=2764, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=3152","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=3152, right_input=1346, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3152","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3152, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=6805","layer":4},{"info":"number node, value=8427","layer":4},{"info":"compute binary expreesion, left_input=6805, right_input=8427, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=13610","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=1905","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=1905, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-13744","layer":3},{"info":"compute binary expreesion, left_input=13610, right_input=-13744, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7958","layer":1},{"info":"compute unary expreesion, input=7958, 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":0}],"base":3,"result_base":3,"text":"≸((⫏≰10210101⨴∎)⪄(⫏≰11022202↸⫏≰1211212))⪒⊣⊆((⫏≰100100001⋻⩜⩜⫏≰102120010)⨐⩸⫘⫏≰2020002≨⫏≰2121120)=⫏≰2011","reverse_text":"⫏≰2011=≸((⫏≰10210101⨴∎)⪄(⫏≰11022202↸⫏≰1211212))⪒⊣⊆((⫏≰100100001⋻⩜⩜⫏≰102120010)⨐⩸⫘⫏≰2020002≨⫏≰2121120)","cot":[{"info":"⫏≰10210101⨴∎=NaN","layer":3},{"info":"⫏≰11022202↸⫏≰1211212=⫏≰11022202","layer":3},{"info":"NaN⪄⫏≰11022202=⫏≰12110101","layer":2},{"info":"⫏≰100100001⋻⩜⩜⫏≰102120010=⫏≰200200002","layer":3},{"info":"⫏≰2020002≨⫏≰2121120=⫏≰-200212001","layer":3},{"info":"⫏≰200200002⨐⩸⫘⫏≰-200212001=NaN","layer":2},{"info":"⫏≰12110101⪒⊣⊆NaN=⫏≰101220202","layer":1},{"info":"≸⫏≰101220202=⫏≰2011","layer":0}]}
{"id":522,"expression_no_base_symbol":"((→⩰$2072$⇮⋭$1635$)⇴($1400$⪃⊛⇣$3537$⫰⋱$4214$⇴∐$2144$))⇉⇱⇎","expression":"((→⩰⫏≰2211202⇮⋭⫏≰2020120)⇴(⫏≰1220212⪃⊛⇣⫏≰11212000⫰⋱⫏≰12210002⇴∐⫏≰2221102))⇉⇱⇎","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1355,"operation_count":7,"complexity_ratio":193.57142857142858,"tree":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2072,"base":3},"right_expr":{"type":"numeric_atoms","value":1635,"base":3}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1400,"base":3},"right_expr":{"type":"numeric_atoms","value":3537,"base":3}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4214,"base":3},"right_expr":{"type":"numeric_atoms","value":2144,"base":3}}}}},"used_operators":["MRPaB8lBjK","4JB6nKBMSY","o8Pngz0Tml","vkpjKywKVM","6o9Blt3TJ6","rrgAzCduG9","HnzytWxmAO"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2072","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=1635, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=1400","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=3537, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=4214","layer":4},{"info":"number node, value=2144","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=2144, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((→⩰⫏≰2211202⇮⋭⫏≰2020120)⇴(⫏≰1220212⪃⊛⇣⫏≰11212000⫰⋱⫏≰12210002⇴∐⫏≰2221102))⇉⇱⇎=NaN","reverse_text":"NaN=((→⩰⫏≰2211202⇮⋭⫏≰2020120)⇴(⫏≰1220212⪃⊛⇣⫏≰11212000⫰⋱⫏≰12210002⇴∐⫏≰2221102))⇉⇱⇎","cot":[{"info":"⫏≰2211202⇮⋭⫏≰2020120=⫏≰-122112","layer":3},{"info":"→⩰⫏≰-122112=NaN","layer":2},{"info":"⫏≰1220212⪃⊛⇣⫏≰11212000=⫏≰1200201","layer":3},{"info":"⫏≰12210002⇴∐⫏≰2221102=NaN","layer":3},{"info":"⫏≰1200201⫰⋱NaN=NaN","layer":2},{"info":"NaN⇴NaN=NaN","layer":1},{"info":"NaN⇉⇱⇎=NaN","layer":0}]}
{"id":523,"expression_no_base_symbol":"⋣(⩪∧⨌($4495$⨲∙))⪃⊛⇣(≋$1003$∺≝⩲$4521$)","expression":"⋣(⩪∧⨌(⫏≰20011111⨲∙))⪃⊛⇣(≋⫏≰1101011∺≝⩲⫏≰20012110)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1214,"operation_count":6,"complexity_ratio":202.33333333333334,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":4495,"base":3}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1003,"base":3},"right_expr":{"type":"numeric_atoms","value":4521,"base":3}}}}},"used_operators":["zQWRhDnn8F","rrgAzCduG9","6iOiAJX1F8","cRahaglYVE","61wBmkZwlr","KPf6cnQVty"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","7j4O788W3g","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫏≰-200102112101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4495","layer":4},{"info":"compute unary expreesion, input=4495, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=58793242","layer":3},{"info":"compute unary expreesion, input=58793242, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=587932420","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=4521","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=4521, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=587932420, right_input=160, 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 = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-362701","layer":0}],"base":3,"result_base":3,"text":"⋣(⩪∧⨌(⫏≰20011111⨲∙))⪃⊛⇣(≋⫏≰1101011∺≝⩲⫏≰20012110)=⫏≰-200102112101","reverse_text":"⫏≰-200102112101=⋣(⩪∧⨌(⫏≰20011111⨲∙))⪃⊛⇣(≋⫏≰1101011∺≝⩲⫏≰20012110)","cot":[{"info":"⫏≰20011111⨲∙=⫏≰11002122000011111","layer":3},{"info":"⩪∧⨌⫏≰11002122000011111=⫏≰1111222022001122211","layer":2},{"info":"⫏≰1101011∺≝⩲⫏≰20012110=⫏≰12221","layer":3},{"info":"≋⫏≰12221=⫏≰12221","layer":2},{"info":"⫏≰1111222022001122211⪃⊛⇣⫏≰12221=⫏≰1200201","layer":1},{"info":"⋣⫏≰1200201=⫏≰-200102112101","layer":0}]}
{"id":524,"expression_no_base_symbol":"((⇈$2385$)↬(↨$1946$)↡⊰⫅(⩒∊$4137$⨜⨶$2984$))⊱⇼⊻($1274$∳⫺$6682$∥⊢⊲($4945$⊴⇁⪶)⇼⇔∾(⇋⊎⋝($4721$⫃⨇$1497$)))","expression":"((⇈⫏≰10021100)↬(↨⫏≰2200002)↡⊰⫅(⩒∊⫏≰12200020⨜⨶⫏≰11002112))⊱⇼⊻(⫏≰1202012∳⫺⫏≰100011111∥⊢⊲(⫏≰20210011⊴⇁⪶)⇼⇔∾(⇋⊎⋝(⫏≰20110212⫃⨇⫏≰2001110)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":270141,"operation_count":13,"complexity_ratio":20780.076923076922,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2385,"base":3}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1946,"base":3}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4137,"base":3},"right_expr":{"type":"numeric_atoms","value":2984,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1274,"base":3},"right_expr":{"type":"numeric_atoms","value":6682,"base":3}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":4945,"base":3}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4721,"base":3},"right_expr":{"type":"numeric_atoms","value":1497,"base":3}}}}},"used_operators":["FyVja0WsTP","VCtxkLNOzz","B5M0gjZbta","SLLxy00UIr","jiX4gk2v2Q","qazvmhNBbN","HiPekx5b7W","tifHPKVTfV","v1UQAVDJRr","AzXXKTstlj","oo9mF6JIpo","CzM2PEoXns","09Ly4LVMIf"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rGHVDoGpnC","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","rGHVDoGpnC","oZj3VtZNQx","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","dWAJyo7jo9","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":4},{"info":"compute unary expreesion, input=2385, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1946","layer":4},{"info":"compute unary expreesion, input=1946, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4137","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=4137, right_input=2984, 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=-5712","layer":3},{"info":"compute unary expreesion, input=-5712, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-18409","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18409, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=1274","layer":4},{"info":"number node, value=6682","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=6682, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-8206","layer":3},{"info":"number node, value=4945","layer":4},{"info":"compute unary expreesion, input=4945, 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=101112","layer":3},{"info":"compute binary expreesion, left_input=-8206, right_input=101112, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=101112","layer":2},{"info":"number node, value=4721","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=4721, right_input=1497, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6020","layer":3},{"info":"compute unary expreesion, input=-6020, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=101112, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇈⫏≰10021100)↬(↨⫏≰2200002)↡⊰⫅(⩒∊⫏≰12200020⨜⨶⫏≰11002112))⊱⇼⊻(⫏≰1202012∳⫺⫏≰100011111∥⊢⊲(⫏≰20210011⊴⇁⪶)⇼⇔∾(⇋⊎⋝(⫏≰20110212⫃⨇⫏≰2001110)))=NaN","reverse_text":"NaN=((⇈⫏≰10021100)↬(↨⫏≰2200002)↡⊰⫅(⩒∊⫏≰12200020⨜⨶⫏≰11002112))⊱⇼⊻(⫏≰1202012∳⫺⫏≰100011111∥⊢⊲(⫏≰20210011⊴⇁⪶)⇼⇔∾(⇋⊎⋝(⫏≰20110212⫃⨇⫏≰2001110)))","cot":[{"info":"⇈⫏≰10021100=⫏≰-121120","layer":3},{"info":"↨⫏≰2200002=NaN","layer":3},{"info":"⫏≰-121120↬NaN=NaN","layer":2},{"info":"⫏≰12200020⨜⨶⫏≰11002112=⫏≰-21211120","layer":3},{"info":"⩒∊⫏≰-21211120=⫏≰-221020211","layer":2},{"info":"NaN↡⊰⫅⫏≰-221020211=NaN","layer":1},{"info":"⫏≰1202012∳⫺⫏≰100011111=⫏≰-102020221","layer":3},{"info":"⫏≰20210011⊴⇁⪶=⫏≰12010200220","layer":3},{"info":"⫏≰-102020221∥⊢⊲⫏≰12010200220=⫏≰12010200220","layer":2},{"info":"⫏≰20110212⫃⨇⫏≰2001110=⫏≰-22020222","layer":3},{"info":"⇋⊎⋝⫏≰-22020222=NaN","layer":2},{"info":"⫏≰12010200220⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⊱⇼⊻NaN=NaN","layer":0}]}
{"id":525,"expression_no_base_symbol":"(⪫⨮⊛(($1827$⊭∹↮)∳⫺(↩⪖$1960$)))⊀⩕","expression":"(⪫⨮⊛((⫏≰2111200⊭∹↮)∳⫺(↩⪖⫏≰2200121)))⊀⩕","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1092,"operation_count":5,"complexity_ratio":218.4,"tree":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1827,"base":3}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1960,"base":3}}}}},"used_operators":["r0FS3hW4cC","w5FWba1tyO","AzXXKTstlj","xNBdhnnwKq","fG6uBQFnGz"],"dependent_operators":["rGHVDoGpnC","nhYeJWJD5X","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3654","layer":3},{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-14742","layer":3},{"info":"compute binary expreesion, left_input=3654, right_input=-14742, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⪫⨮⊛((⫏≰2111200⊭∹↮)∳⫺(↩⪖⫏≰2200121)))⊀⩕=⫏≰0","reverse_text":"⫏≰0=(⪫⨮⊛((⫏≰2111200⊭∹↮)∳⫺(↩⪖⫏≰2200121)))⊀⩕","cot":[{"info":"⫏≰2111200⊭∹↮=⫏≰12000100","layer":3},{"info":"↩⪖⫏≰2200121=⫏≰-202020000","layer":3},{"info":"⫏≰12000100∳⫺⫏≰-202020000=⫏≰-100122","layer":2},{"info":"⪫⨮⊛⫏≰-100122=⫏≰-100122","layer":1},{"info":"⫏≰-100122⊀⩕=⫏≰0","layer":0}]}
{"id":526,"expression_no_base_symbol":"(∐⩳⋚($4221$⨑⩅≇$2100$⪊≅))⨜⨶((-$2203$≄⊠$4278$)⊟⇱)","expression":"(∐⩳⋚(⫏≰12210100⨑⩅≇⫏≰2212210⪊≅))⨜⨶((-⫏≰10000121≄⊠⫏≰12212110)⊟⇱)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2387,"operation_count":7,"complexity_ratio":341.0,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4221,"base":3},"right_expr":{"type":"numeric_atoms","value":2100,"base":3}}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2203,"base":3},"right_expr":{"type":"numeric_atoms","value":4278,"base":3}}}}},"used_operators":["HiPekx5b7W","SL6IHkK8vl","bjFbhXSADs","h92wMvzauj","03sUfWo75k","t8gj7n24qd","vXNesLlMH1"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","IWmyXbctLI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⫏≰-2011111202211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4221","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=4221, right_input=2100, 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=-12663","layer":3},{"info":"compute unary expreesion, input=-12663, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-27694","layer":1},{"info":"number node, value=2203","layer":4},{"info":"number node, value=4278","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=4278, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=73116","layer":3},{"info":"compute unary expreesion, input=73116, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-73116","layer":2},{"info":"compute unary expreesion, input=-73116, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-145916","layer":1},{"info":"compute binary expreesion, left_input=-27694, right_input=-145916, 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=-1151653","layer":0}],"base":3,"result_base":3,"text":"(∐⩳⋚(⫏≰12210100⨑⩅≇⫏≰2212210⪊≅))⨜⨶((-⫏≰10000121≄⊠⫏≰12212110)⊟⇱)=⫏≰-2011111202211","reverse_text":"⫏≰-2011111202211=(∐⩳⋚(⫏≰12210100⨑⩅≇⫏≰2212210⪊≅))⨜⨶((-⫏≰10000121≄⊠⫏≰12212110)⊟⇱)","cot":[{"info":"⫏≰12210100⨑⩅≇⫏≰2212210=⫏≰-122101000","layer":3},{"info":"⫏≰-122101000⪊≅=⫏≰0","layer":2},{"info":"∐⩳⋚⫏≰0=⫏≰-1101222201","layer":1},{"info":"⫏≰10000121≄⊠⫏≰12212110=⫏≰10201022000","layer":3},{"info":"-⫏≰10201022000=⫏≰-10201022000","layer":2},{"info":"⫏≰-10201022000⊟⇱=⫏≰-21102011022","layer":1},{"info":"⫏≰-1101222201⨜⨶⫏≰-21102011022=⫏≰-2011111202211","layer":0}]}
{"id":527,"expression_no_base_symbol":"⨂⪏⇭(⨝⨆($1076$⨐⩸⫘$4447$)∊∟⩊$3572$⫣⪄⊒$3403$)","expression":"⨂⪏⇭(⨝⨆(⫏≰1110212⨐⩸⫘⫏≰20002201)∊∟⩊⫏≰11220022⫣⪄⊒⫏≰11200001)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":48,"operation_count":5,"complexity_ratio":9.6,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1076,"base":3},"right_expr":{"type":"numeric_atoms","value":4447,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3572,"base":3},"right_expr":{"type":"numeric_atoms","value":3403,"base":3}}}}},"used_operators":["AYdpE9sXAk","bQ67fsrMVf","ddLRYrp01A","fu6greOZ01","RabNbG55vr"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","tifHPKVTfV","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","3ViojmjbAp","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⫏≰-2011221021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":4},{"info":"number node, value=4447","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=4447, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3572","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=3403, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-13786","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13786, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-13786","layer":2},{"info":"compute unary expreesion, input=-13786, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-13995","layer":1},{"info":"compute unary expreesion, input=-13995, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-42964","layer":0}],"base":3,"result_base":3,"text":"⨂⪏⇭(⨝⨆(⫏≰1110212⨐⩸⫘⫏≰20002201)∊∟⩊⫏≰11220022⫣⪄⊒⫏≰11200001)=⫏≰-2011221021","reverse_text":"⫏≰-2011221021=⨂⪏⇭(⨝⨆(⫏≰1110212⨐⩸⫘⫏≰20002201)∊∟⩊⫏≰11220022⫣⪄⊒⫏≰11200001)","cot":[{"info":"⫏≰1110212⨐⩸⫘⫏≰20002201=NaN","layer":3},{"info":"⫏≰11220022⫣⪄⊒⫏≰11200001=⫏≰-200220121","layer":3},{"info":"NaN∊∟⩊⫏≰-200220121=⫏≰-200220121","layer":2},{"info":"⨝⨆⫏≰-200220121=⫏≰-201012100","layer":1},{"info":"⨂⪏⇭⫏≰-201012100=⫏≰-2011221021","layer":0}]}
{"id":528,"expression_no_base_symbol":"((∮($1014$⊉≛↸$1971$))∀⋜↑)≀⩗∶(⋗⩬⋾(⇁⨣⪵$1761$)⨜⨶($2356$⪒⊣⊆$2366$))","expression":"((∮(⫏≰1101120⊉≛↸⫏≰2201000))∀⋜↑)≀⩗∶(⋗⩬⋾(⇁⨣⪵⫏≰2102020)⨜⨶(⫏≰10020021⪒⊣⊆⫏≰10020122))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":359,"operation_count":8,"complexity_ratio":44.875,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1014,"base":3},"right_expr":{"type":"numeric_atoms","value":1971,"base":3}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1761,"base":3}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2356,"base":3},"right_expr":{"type":"numeric_atoms","value":2366,"base":3}}}}},"used_operators":["8INZBEW696","KipPnG1M2J","CqXKPLVYql","DZ8iAZOCBD","DpFCA1CohY","HiPekx5b7W","inkyxCbjAn","eRqsBgTDFp"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=1971, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2028","layer":3},{"info":"compute unary expreesion, input=2028, 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":2},{"info":"compute unary expreesion, input=67, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-283","layer":1},{"info":"number node, value=1761","layer":4},{"info":"compute unary expreesion, input=1761, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2356","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=2366, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4712","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4712, 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=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-283, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((∮(⫏≰1101120⊉≛↸⫏≰2201000))∀⋜↑)≀⩗∶(⋗⩬⋾(⇁⨣⪵⫏≰2102020)⨜⨶(⫏≰10020021⪒⊣⊆⫏≰10020122))=NaN","reverse_text":"NaN=((∮(⫏≰1101120⊉≛↸⫏≰2201000))∀⋜↑)≀⩗∶(⋗⩬⋾(⇁⨣⪵⫏≰2102020)⨜⨶(⫏≰10020021⪒⊣⊆⫏≰10020122))","cot":[{"info":"⫏≰1101120⊉≛↸⫏≰2201000=⫏≰2210010","layer":3},{"info":"∮⫏≰2210010=⫏≰2111","layer":2},{"info":"⫏≰2111∀⋜↑=⫏≰-101111","layer":1},{"info":"⇁⨣⪵⫏≰2102020=NaN","layer":3},{"info":"⫏≰10020021⪒⊣⊆⫏≰10020122=⫏≰20110112","layer":3},{"info":"NaN⨜⨶⫏≰20110112=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⫏≰-101111≀⩗∶NaN=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"((⫛⫱⨽$3900$)⪭≯($4316$⋭≵$4683$))⨥⫆(($1081$⪹)-$1764$⫘$1811$)⋛(↪⫪⫘((↪⫪⫘$5388$)⋛(⇾⩊⇾$1104$)))","expression":"((⫛⫱⨽⫏≰12100110)⪭≯(⫏≰12220212⋭≵⫏≰20102110))⨥⫆((⫏≰1111001⪹)-⫏≰2102100⫘⫏≰2111002)⋛(↪⫪⫘((↪⫪⫘⫏≰21101120)⋛(⇾⩊⇾⫏≰1111220)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6207,"operation_count":12,"complexity_ratio":517.25,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3900,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4316,"base":3},"right_expr":{"type":"numeric_atoms","value":4683,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1081,"base":3}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1764,"base":3},"right_expr":{"type":"numeric_atoms","value":1811,"base":3}}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":5388,"base":3}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1104,"base":3}}}}},"used_operators":["YbUVn0Rbpy","yXekIHxTD4","XAx5wpdLa6","DlLNRPXxWL","jBncVCNhdl","rysDP5nf3Z","B3sABdIn96","48vC8HMD2b","9dWsAM3GFt","bx9Z9DAK5y"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rGHVDoGpnC","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3900","layer":4},{"info":"compute unary expreesion, input=3900, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4316","layer":4},{"info":"number node, value=4683","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=4683, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=6654","layer":3},{"info":"number node, value=1764","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=1811, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2078869","layer":3},{"info":"compute binary expreesion, left_input=6654, right_input=2078869, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2072215","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2072215, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=5388","layer":4},{"info":"compute unary expreesion, input=5388, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-16422","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-16422, 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=-48621","layer":2},{"info":"compute unary expreesion, input=-48621, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, 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=nan","layer":0}],"base":3,"result_base":3,"text":"((⫛⫱⨽⫏≰12100110)⪭≯(⫏≰12220212⋭≵⫏≰20102110))⨥⫆((⫏≰1111001⪹)-⫏≰2102100⫘⫏≰2111002)⋛(↪⫪⫘((↪⫪⫘⫏≰21101120)⋛(⇾⩊⇾⫏≰1111220)))=NaN","reverse_text":"NaN=((⫛⫱⨽⫏≰12100110)⪭≯(⫏≰12220212⋭≵⫏≰20102110))⨥⫆((⫏≰1111001⪹)-⫏≰2102100⫘⫏≰2111002)⋛(↪⫪⫘((↪⫪⫘⫏≰21101120)⋛(⇾⩊⇾⫏≰1111220)))","cot":[{"info":"⫛⫱⨽⫏≰12100110=⫏≰0","layer":3},{"info":"⫏≰12220212⋭≵⫏≰20102110=⫏≰2111","layer":3},{"info":"⫏≰0⪭≯⫏≰2111=NaN","layer":2},{"info":"⫏≰1111001⪹=⫏≰100010110","layer":3},{"info":"⫏≰2102100⫘⫏≰2111002=⫏≰10220121200011","layer":3},{"info":"⫏≰100010110-⫏≰10220121200011=⫏≰-10220021112201","layer":2},{"info":"NaN⨥⫆⫏≰-10220021112201=NaN","layer":1},{"info":"↪⫪⫘⫏≰21101120=⫏≰202","layer":3},{"info":"⇾⩊⇾⫏≰1111220=⫏≰-211112020","layer":3},{"info":"⫏≰202⋛⫏≰-211112020=⫏≰-2110200210","layer":2},{"info":"↪⫪⫘⫏≰-2110200210=⫏≰202","layer":1},{"info":"NaN⋛⫏≰202=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"(⇈($1940$↪⪝))∇⊂⋱(⇨($4211$⫌⩉⩟$1864$))⩚⊴⇥($8106$⊉↱≁$7757$⇍⊗$1230$∳⫺$7199$)⊮⊟↴(⇵⪽($2302$⊲⩕⊾$6573$))","expression":"(⇈(⫏≰2122212↪⪝))∇⊂⋱(⇨(⫏≰12202222⫌⩉⩟⫏≰2120001))⩚⊴⇥(⫏≰102010020⊉↱≁⫏≰101122022⇍⊗⫏≰1200120∳⫺⫏≰100212122)⊮⊟↴(⇵⪽(⫏≰10011021⊲⩕⊾⫏≰100000110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14304,"operation_count":12,"complexity_ratio":1192.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1940,"base":3}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4211,"base":3},"right_expr":{"type":"numeric_atoms","value":1864,"base":3}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":8106,"base":3},"right_expr":{"type":"numeric_atoms","value":7757,"base":3}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1230,"base":3},"right_expr":{"type":"numeric_atoms","value":7199,"base":3}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2302,"base":3},"right_expr":{"type":"numeric_atoms","value":6573,"base":3}}}}},"used_operators":["NTOWxs364D","nhYeJWJD5X","SLLxy00UIr","l07mrZUIn9","G9tJMlZ94a","XIIwhv8d0m","QDVgd2eftb","5uvYHDjeKN","w2P8NbNXyL","AzXXKTstlj","ZGCBLdVRRX","DmTXOeWf9t"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","U7g4x0WXJJ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1940","layer":4},{"info":"compute unary expreesion, input=1940, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=118693080","layer":3},{"info":"compute unary expreesion, input=118693080, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=4211","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=4211, right_input=1864, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=0","layer":1},{"info":"number node, value=8106","layer":4},{"info":"number node, value=7757","layer":4},{"info":"compute binary expreesion, left_input=8106, right_input=7757, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=34466","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=7199","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=7199, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-9416","layer":3},{"info":"compute binary expreesion, left_input=34466, right_input=-9416, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2302","layer":4},{"info":"number node, value=6573","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=6573, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-99192","layer":3},{"info":"compute unary expreesion, input=-99192, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇈(⫏≰2122212↪⪝))∇⊂⋱(⇨(⫏≰12202222⫌⩉⩟⫏≰2120001))⩚⊴⇥(⫏≰102010020⊉↱≁⫏≰101122022⇍⊗⫏≰1200120∳⫺⫏≰100212122)⊮⊟↴(⇵⪽(⫏≰10011021⊲⩕⊾⫏≰100000110))=NaN","reverse_text":"NaN=(⇈(⫏≰2122212↪⪝))∇⊂⋱(⇨(⫏≰12202222⫌⩉⩟⫏≰2120001))⩚⊴⇥(⫏≰102010020⊉↱≁⫏≰101122022⇍⊗⫏≰1200120∳⫺⫏≰100212122)⊮⊟↴(⇵⪽(⫏≰10011021⊲⩕⊾⫏≰100000110))","cot":[{"info":"⫏≰2122212↪⪝=⫏≰22021100020022000","layer":3},{"info":"⇈⫏≰22021100020022000=⫏≰-121120","layer":2},{"info":"⫏≰12202222⫌⩉⩟⫏≰2120001=⫏≰-1212","layer":3},{"info":"⇨⫏≰-1212=⫏≰0","layer":2},{"info":"⫏≰-121120∇⊂⋱⫏≰0=⫏≰0","layer":1},{"info":"⫏≰102010020⊉↱≁⫏≰101122022=⫏≰1202021112","layer":3},{"info":"⫏≰1200120∳⫺⫏≰100212122=⫏≰-110220202","layer":3},{"info":"⫏≰1202021112⇍⊗⫏≰-110220202=⫏≰-100001","layer":2},{"info":"⫏≰10011021⊲⩕⊾⫏≰100000110=⫏≰-12001001210","layer":3},{"info":"⇵⪽⫏≰-12001001210=NaN","layer":2},{"info":"⫏≰-100001⊮⊟↴NaN=NaN","layer":1},{"info":"⫏≰0⩚⊴⇥NaN=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"(($2800$↞⋁$1391$)↞⋁($2174$⫑)⊪)↞⋁(⫯($3361$⨜⨶$4408$⪔⊥($2494$∣$1370$)))","expression":"((⫏≰10211201↞⋁⫏≰1220112)↞⋁(⫏≰2222112⫑)⊪)↞⋁(⫯(⫏≰11121111⨜⨶⫏≰20001021⪔⊥(⫏≰10102101∣⫏≰1212202)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":771,"operation_count":9,"complexity_ratio":85.66666666666667,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2800,"base":3},"right_expr":{"type":"numeric_atoms","value":1391,"base":3}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":2174,"base":3}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3361,"base":3},"right_expr":{"type":"numeric_atoms","value":4408,"base":3}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2494,"base":3},"right_expr":{"type":"numeric_atoms","value":1370,"base":3}}}}},"used_operators":["RqrPlJkxDo","zVYPLywUTj","CgIo77xlM2","H6BK1Evt7c","HJ9erzHUuu","HiPekx5b7W","PPChnnnBFF"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2800","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=1391, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"number node, value=3361","layer":4},{"info":"number node, value=4408","layer":4},{"info":"compute binary expreesion, left_input=3361, right_input=4408, 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=-8560","layer":3},{"info":"number node, value=2494","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=1370, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2494","layer":3},{"info":"compute binary expreesion, left_input=-8560, right_input=2494, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-39427","layer":2},{"info":"compute unary expreesion, input=-39427, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=1039054","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1039054, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10211201↞⋁⫏≰1220112)↞⋁(⫏≰2222112⫑)⊪)↞⋁(⫯(⫏≰11121111⨜⨶⫏≰20001021⪔⊥(⫏≰10102101∣⫏≰1212202)))=NaN","reverse_text":"NaN=((⫏≰10211201↞⋁⫏≰1220112)↞⋁(⫏≰2222112⫑)⊪)↞⋁(⫯(⫏≰11121111⨜⨶⫏≰20001021⪔⊥(⫏≰10102101∣⫏≰1212202)))","cot":[{"info":"⫏≰10211201↞⋁⫏≰1220112=NaN","layer":3},{"info":"⫏≰2222112⫑=⫏≰12110101","layer":3},{"info":"NaN↞⋁⫏≰12110101=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⫏≰11121111⨜⨶⫏≰20001021=⫏≰-102202001","layer":3},{"info":"⫏≰10102101∣⫏≰1212202=⫏≰10102101","layer":3},{"info":"⫏≰-102202001⪔⊥⫏≰10102101=⫏≰-2000002021","layer":2},{"info":"⫯⫏≰-2000002021=⫏≰1221210022111","layer":1},{"info":"NaN↞⋁⫏≰1221210022111=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"⨴⫝(⨣⨃⇪$2945$)⨽∌($2003$⋫)⪨⊡(($1341$⩢≌)∪⫐$1935$⫲≸⪮$1063$)","expression":"⨴⫝(⨣⨃⇪⫏≰11001002)⨽∌(⫏≰2202012⋫)⪨⊡((⫏≰1211200⩢≌)∪⫐⫏≰2122200⫲≸⪮⫏≰1110101)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6073,"operation_count":8,"complexity_ratio":759.125,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":2945,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2003,"base":3}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1341,"base":3}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1935,"base":3},"right_expr":{"type":"numeric_atoms","value":1063,"base":3}}}}},"used_operators":["SVb2v531z1","kuIXHzHcAH","9samAPKr6k","AcOhelriW5","JL8yIekQnl","7YooWSwCyH","D617RFjZIq","P3lXMJvFrc"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","tmPS8pqC7x","rJVOvQCfKK","2DDjHMKMc0","hTbEZDJLEm","o20kRiQErp","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⫏≰12022200120002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2945","layer":4},{"info":"compute unary expreesion, input=2945, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=2003","layer":4},{"info":"compute unary expreesion, input=2003, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2003","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=2003, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1341","layer":4},{"info":"compute unary expreesion, input=1341, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=1935","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=1063, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1935","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1935, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, 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":0}],"base":3,"result_base":3,"text":"⨴⫝(⨣⨃⇪⫏≰11001002)⨽∌(⫏≰2202012⋫)⪨⊡((⫏≰1211200⩢≌)∪⫐⫏≰2122200⫲≸⪮⫏≰1110101)=⫏≰12022200120002","reverse_text":"⫏≰12022200120002=⨴⫝(⨣⨃⇪⫏≰11001002)⨽∌(⫏≰2202012⋫)⪨⊡((⫏≰1211200⩢≌)∪⫐⫏≰2122200⫲≸⪮⫏≰1110101)","cot":[{"info":"⨣⨃⇪⫏≰11001002=⫏≰1221001","layer":3},{"info":"⫏≰2202012⋫=⫏≰2202012","layer":3},{"info":"⫏≰1221001⨽∌⫏≰2202012=⫏≰0","layer":2},{"info":"⫏≰1211200⩢≌=⫏≰11012","layer":3},{"info":"⫏≰2122200⫲≸⪮⫏≰1110101=⫏≰2122200","layer":3},{"info":"⫏≰11012∪⫐⫏≰2122200=⫏≰11012","layer":2},{"info":"⫏≰0⪨⊡⫏≰11012=⫏≰12221","layer":1},{"info":"⨴⫝⫏≰12221=⫏≰12022200120002","layer":0}]}
{"id":533,"expression_no_base_symbol":"(⪫⨮⊛(($2750$⨶)⪨⊡$1953$≁$8032$))≑≱⪘","expression":"(⪫⨮⊛((⫏≰10202212⨶)⪨⊡⫏≰2200100≁⫏≰102000111))≑≱⪘","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":367,"operation_count":5,"complexity_ratio":73.4,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":2750,"base":3}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1953,"base":3},"right_expr":{"type":"numeric_atoms","value":8032,"base":3}}}}},"used_operators":["tGSeddj7UK","w5FWba1tyO","kuIXHzHcAH","rFxw8gIMmB","8N2wDY1A35"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","f6k1SAg4EE","Qy55tPpLXF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⫏≰-22110021100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2750","layer":4},{"info":"compute unary expreesion, input=2750, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=3754","layer":3},{"info":"number node, value=1953","layer":4},{"info":"number node, value=8032","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=8032, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=179567","layer":3},{"info":"compute binary expreesion, left_input=3754, right_input=179567, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"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":1},{"info":"compute unary expreesion, input=0, 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=-166410","layer":0}],"base":3,"result_base":3,"text":"(⪫⨮⊛((⫏≰10202212⨶)⪨⊡⫏≰2200100≁⫏≰102000111))≑≱⪘=⫏≰-22110021100","reverse_text":"⫏≰-22110021100=(⪫⨮⊛((⫏≰10202212⨶)⪨⊡⫏≰2200100≁⫏≰102000111))≑≱⪘","cot":[{"info":"⫏≰10202212⨶=⫏≰12011001","layer":3},{"info":"⫏≰2200100≁⫏≰102000111=⫏≰100010022122","layer":3},{"info":"⫏≰12011001⪨⊡⫏≰100010022122=⫏≰0","layer":2},{"info":"⪫⨮⊛⫏≰0=⫏≰0","layer":1},{"info":"⫏≰0≑≱⪘=⫏≰-22110021100","layer":0}]}
{"id":534,"expression_no_base_symbol":"(⪛⨧($3320$%$2799$))⩧⪆(⊲⪭$2694$)⋛($1335$⨰$1611$)⊍⩺⋍($3122$⫞⩸⩒$1613$⪁$1815$⩼⇪↪$1651$)⫳≱↱$1032$⪟⇏$3293$⩣⫁∢($1662$↡⊰⫅$4294$)","expression":"(⪛⨧(⫏≰11112222%⫏≰10211200))⩧⪆(⊲⪭⫏≰10200210)⋛(⫏≰1211110⨰⫏≰2012200)⊍⩺⋍(⫏≰11021122⫞⩸⩒⫏≰2012202⪁⫏≰2111020⩼⇪↪⫏≰2021011)⫳≱↱⫏≰1102020⪟⇏⫏≰11111222⩣⫁∢(⫏≰2021120↡⊰⫅⫏≰12220001)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":70898,"operation_count":14,"complexity_ratio":5064.142857142857,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3320,"base":3},"right_expr":{"type":"numeric_atoms","value":2799,"base":3}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2694,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1335,"base":3},"right_expr":{"type":"numeric_atoms","value":1611,"base":3}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3122,"base":3},"right_expr":{"type":"numeric_atoms","value":1613,"base":3}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1815,"base":3},"right_expr":{"type":"numeric_atoms","value":1651,"base":3}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1032,"base":3},"right_expr":{"type":"numeric_atoms","value":3293,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1662,"base":3},"right_expr":{"type":"numeric_atoms","value":4294,"base":3}}}}},"used_operators":["OXDGMFPWZM","Ikt5ks8PT7","6NJAcO2OWT","k8jYdgA6NY","YbUVn0Rbpy","k7HXdKtiEU","eewbuw0ToL","ZvLB05nZmT","I7sXao9hZE","XGcMNugi78","ocnLzx9CaJ","JDUIKTTSIa","GODebY97qR","VCtxkLNOzz"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eewbuw0ToL","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","i8ToyICDmI","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3320","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=3320, right_input=2799, op_id = k8jYdgA6NY binary_op_definition= 'None', output=521","layer":3},{"info":"compute unary expreesion, input=521, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=2443","layer":2},{"info":"number node, value=2694","layer":4},{"info":"compute unary expreesion, input=2694, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2868","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1611, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-266","layer":3},{"info":"compute binary expreesion, left_input=-2868, right_input=-266, 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=-153","layer":2},{"info":"compute binary expreesion, left_input=2443, right_input=-153, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=153","layer":1},{"info":"number node, value=3122","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=3122, right_input=1613, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1613","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=1651, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-8710","layer":3},{"info":"compute binary expreesion, left_input=1613, right_input=-8710, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=3293, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1662","layer":4},{"info":"number node, value=4294","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=4294, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8588","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=8588, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=163","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=163, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=153, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪛⨧(⫏≰11112222%⫏≰10211200))⩧⪆(⊲⪭⫏≰10200210)⋛(⫏≰1211110⨰⫏≰2012200)⊍⩺⋍(⫏≰11021122⫞⩸⩒⫏≰2012202⪁⫏≰2111020⩼⇪↪⫏≰2021011)⫳≱↱⫏≰1102020⪟⇏⫏≰11111222⩣⫁∢(⫏≰2021120↡⊰⫅⫏≰12220001)=NaN","reverse_text":"NaN=(⪛⨧(⫏≰11112222%⫏≰10211200))⩧⪆(⊲⪭⫏≰10200210)⋛(⫏≰1211110⨰⫏≰2012200)⊍⩺⋍(⫏≰11021122⫞⩸⩒⫏≰2012202⪁⫏≰2111020⩼⇪↪⫏≰2021011)⫳≱↱⫏≰1102020⪟⇏⫏≰11111222⩣⫁∢(⫏≰2021120↡⊰⫅⫏≰12220001)","cot":[{"info":"⫏≰11112222%⫏≰10211200=⫏≰201022","layer":3},{"info":"⪛⨧⫏≰201022=⫏≰10100111","layer":2},{"info":"⊲⪭⫏≰10200210=⫏≰-10221020","layer":3},{"info":"⫏≰1211110⨰⫏≰2012200=⫏≰-100212","layer":3},{"info":"⫏≰-10221020⋛⫏≰-100212=⫏≰-12200","layer":2},{"info":"⫏≰10100111⩧⪆⫏≰-12200=⫏≰12200","layer":1},{"info":"⫏≰11021122⫞⩸⩒⫏≰2012202=⫏≰2012202","layer":3},{"info":"⫏≰2111020⩼⇪↪⫏≰2021011=⫏≰-102221121","layer":3},{"info":"⫏≰2012202⪁⫏≰-102221121=NaN","layer":2},{"info":"⫏≰1102020⪟⇏⫏≰11111222=⫏≰-1","layer":3},{"info":"⫏≰2021120↡⊰⫅⫏≰12220001=⫏≰102210002","layer":3},{"info":"⫏≰-1⩣⫁∢⫏≰102210002=⫏≰20001","layer":2},{"info":"NaN⫳≱↱⫏≰20001=NaN","layer":1},{"info":"⫏≰12200⊍⩺⋍NaN=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"⊗((⋗⩬⋾(∤↝$1467$))↬($2389$*$4526$)⨚⇆(⇤←$5345$))","expression":"⊗((⋗⩬⋾(∤↝⫏≰2000100))↬(⫏≰10021111*⫏≰20012122)⨚⇆(⇤←⫏≰21022222))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2494,"operation_count":7,"complexity_ratio":356.2857142857143,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1467,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2389,"base":3},"right_expr":{"type":"numeric_atoms","value":4526,"base":3}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":5345,"base":3}}}}},"used_operators":["RhiyfpczSx","B5M0gjZbta","DpFCA1CohY","3UMq87Qwqg","lwHaAYXP2r","9HNa5Wba9A","jfAgQ2OQeM"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":4},{"info":"compute unary expreesion, input=1467, 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=1467","layer":3},{"info":"compute unary expreesion, input=1467, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4401","layer":2},{"info":"number node, value=2389","layer":4},{"info":"number node, value=4526","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=4526, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10812614","layer":3},{"info":"number node, value=5345","layer":4},{"info":"compute unary expreesion, input=5345, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-25359","layer":3},{"info":"compute binary expreesion, left_input=10812614, right_input=-25359, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4401, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊗((⋗⩬⋾(∤↝⫏≰2000100))↬(⫏≰10021111*⫏≰20012122)⨚⇆(⇤←⫏≰21022222))=NaN","reverse_text":"NaN=⊗((⋗⩬⋾(∤↝⫏≰2000100))↬(⫏≰10021111*⫏≰20012122)⨚⇆(⇤←⫏≰21022222))","cot":[{"info":"∤↝⫏≰2000100=⫏≰2000100","layer":3},{"info":"⋗⩬⋾⫏≰2000100=⫏≰-20001000","layer":2},{"info":"⫏≰10021111*⫏≰20012122=⫏≰202100100010012","layer":3},{"info":"⇤←⫏≰21022222=⫏≰-1021210020","layer":3},{"info":"⫏≰202100100010012⨚⇆⫏≰-1021210020=NaN","layer":2},{"info":"⫏≰-20001000↬NaN=NaN","layer":1},{"info":"⊗NaN=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"⪨⨬(⨂⪏⇭(($1099$%$2805$)↸$1907$⪔⊥$1010$))","expression":"⪨⨬(⨂⪏⇭((⫏≰1111201%⫏≰10211220)↸⫏≰2121122⪔⊥⫏≰1101102))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1160,"operation_count":5,"complexity_ratio":232.0,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1099,"base":3},"right_expr":{"type":"numeric_atoms","value":2805,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1907,"base":3},"right_expr":{"type":"numeric_atoms","value":1010,"base":3}}}}},"used_operators":["5obUd6DV38","AYdpE9sXAk","1eCjFl0mb9","k8jYdgA6NY","HJ9erzHUuu"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⫏≰-201111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=2805, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1099","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1010, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=5409","layer":3},{"info":"compute binary expreesion, left_input=1099, right_input=5409, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1099","layer":2},{"info":"compute unary expreesion, input=1099, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2318","layer":1},{"info":"compute unary expreesion, input=2318, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":3,"result_base":3,"text":"⪨⨬(⨂⪏⇭((⫏≰1111201%⫏≰10211220)↸⫏≰2121122⪔⊥⫏≰1101102))=⫏≰-201111","reverse_text":"⫏≰-201111=⪨⨬(⨂⪏⇭((⫏≰1111201%⫏≰10211220)↸⫏≰2121122⪔⊥⫏≰1101102))","cot":[{"info":"⫏≰1111201%⫏≰10211220=⫏≰1111201","layer":3},{"info":"⫏≰2121122⪔⊥⫏≰1101102=⫏≰21102100","layer":3},{"info":"⫏≰1111201↸⫏≰21102100=⫏≰1111201","layer":2},{"info":"⨂⪏⇭⫏≰1111201=⫏≰10011212","layer":1},{"info":"⪨⨬⫏≰10011212=⫏≰-201111","layer":0}]}
{"id":537,"expression_no_base_symbol":"((($1019$≝⊰⇂)⊝⪿⪼($3333$∪⫐$5644$))≀⫉($1869$⪔⊥$2342$∖$1794$⊭↱$2395$))⨔⇊(($1432$≁↽≥$8945$⩨$6119$⋛$3584$)∛($4470$⨔⇊$3124$⫭))","expression":"(((⫏≰1101202≝⊰⇂)⊝⪿⪼(⫏≰11120110∪⫐⫏≰21202001))≀⫉(⫏≰2120020⪔⊥⫏≰10012202∖⫏≰2110110⊭↱⫏≰10021201))⨔⇊((⫏≰1222001≁↽≥⫏≰110021022⩨⫏≰22101122⋛⫏≰11220202)∛(⫏≰20010120⨔⇊⫏≰11021201⫭))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2324,"operation_count":14,"complexity_ratio":166.0,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1019,"base":3}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3333,"base":3},"right_expr":{"type":"numeric_atoms","value":5644,"base":3}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1869,"base":3},"right_expr":{"type":"numeric_atoms","value":2342,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1794,"base":3},"right_expr":{"type":"numeric_atoms","value":2395,"base":3}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1432,"base":3},"right_expr":{"type":"numeric_atoms","value":8945,"base":3}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":6119,"base":3},"right_expr":{"type":"numeric_atoms","value":3584,"base":3}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4470,"base":3},"right_expr":{"type":"numeric_atoms","value":3124,"base":3}}}}},"used_operators":["JclMnS0uGI","oZj3VtZNQx","3Oe9XWJUTD","htSmYCowi5","7YooWSwCyH","tXD093vOjl","HJ9erzHUuu","COABgblf1C","w2537kitQq","2DlMacCsIx","ncHt1X6cMc","YbUVn0Rbpy","t4WUHVGj7f"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","DlLNRPXxWL","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","oWn0xqSxBt","3Oe9XWJUTD","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=3333","layer":4},{"info":"number node, value=5644","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=5644, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3333","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3333, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9932","layer":2},{"info":"number node, value=1869","layer":4},{"info":"number node, value=2342","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=2342, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2593","layer":3},{"info":"number node, value=1794","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=2395, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1207","layer":3},{"info":"compute binary expreesion, left_input=2593, right_input=1207, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9932, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=1432","layer":4},{"info":"number node, value=8945","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=8945, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=31412","layer":3},{"info":"number node, value=6119","layer":4},{"info":"number node, value=3584","layer":4},{"info":"compute binary expreesion, left_input=6119, right_input=3584, 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=-77121","layer":3},{"info":"compute binary expreesion, left_input=31412, right_input=-77121, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"number node, value=4470","layer":4},{"info":"number node, value=3124","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=3124, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3124","layer":3},{"info":"compute unary expreesion, input=3124, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=9613","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=9613, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-676, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1101202≝⊰⇂)⊝⪿⪼(⫏≰11120110∪⫐⫏≰21202001))≀⫉(⫏≰2120020⪔⊥⫏≰10012202∖⫏≰2110110⊭↱⫏≰10021201))⨔⇊((⫏≰1222001≁↽≥⫏≰110021022⩨⫏≰22101122⋛⫏≰11220202)∛(⫏≰20010120⨔⇊⫏≰11021201⫭))=⫏≰2111","reverse_text":"⫏≰2111=(((⫏≰1101202≝⊰⇂)⊝⪿⪼(⫏≰11120110∪⫐⫏≰21202001))≀⫉(⫏≰2120020⪔⊥⫏≰10012202∖⫏≰2110110⊭↱⫏≰10021201))⨔⇊((⫏≰1222001≁↽≥⫏≰110021022⩨⫏≰22101122⋛⫏≰11220202)∛(⫏≰20010120⨔⇊⫏≰11021201⫭))","cot":[{"info":"⫏≰1101202≝⊰⇂=⫏≰0","layer":3},{"info":"⫏≰11120110∪⫐⫏≰21202001=⫏≰11120110","layer":3},{"info":"⫏≰0⊝⪿⪼⫏≰11120110=⫏≰111121212","layer":2},{"info":"⫏≰2120020⪔⊥⫏≰10012202=⫏≰10120001","layer":3},{"info":"⫏≰2110110⊭↱⫏≰10021201=⫏≰1122201","layer":3},{"info":"⫏≰10120001∖⫏≰1122201=⫏≰0","layer":2},{"info":"⫏≰111121212≀⫉⫏≰0=⫏≰10212112","layer":1},{"info":"⫏≰1222001≁↽≥⫏≰110021022=⫏≰1121002102","layer":3},{"info":"⫏≰22101122⋛⫏≰11220202=⫏≰-10220210100","layer":3},{"info":"⫏≰1121002102⩨⫏≰-10220210100=⫏≰100","layer":2},{"info":"⫏≰20010120⨔⇊⫏≰11021201=⫏≰11021201","layer":3},{"info":"⫏≰11021201⫭=⫏≰111012001","layer":2},{"info":"⫏≰100∛⫏≰111012001=⫏≰-221001","layer":1},{"info":"⫏≰10212112⨔⇊⫏≰-221001=⫏≰2111","layer":0}]}
{"id":538,"expression_no_base_symbol":"(($1793$⋅⇍$5645$)≴⪞⇿(⩪∧⨌$1257$)⪨≂(⊢≑≆$2281$)⫸⇳$5433$⨜⨶$2510$)∓⋝((⫯$4145$)≨$9139$≝⊿$1168$)⪃⊛⇣(($1388$⨽$3858$)∺≝⩲($2687$↓$1102$))","expression":"((⫏≰2110102⋅⇍⫏≰21202002)≴⪞⇿(⩪∧⨌⫏≰1201120)⪨≂(⊢≑≆⫏≰10010111)⫸⇳⫏≰21110020⨜⨶⫏≰10102222)∓⋝((⫯⫏≰12200112)≨⫏≰110112111≝⊿⫏≰1121021)⪃⊛⇣((⫏≰1220102⨽⫏≰12021220)∺≝⩲(⫏≰10200112↓⫏≰1111211))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":974434,"operation_count":15,"complexity_ratio":64962.26666666667,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1793,"base":3},"right_expr":{"type":"numeric_atoms","value":5645,"base":3}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1257,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2281,"base":3}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5433,"base":3},"right_expr":{"type":"numeric_atoms","value":2510,"base":3}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":4145,"base":3}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":9139,"base":3},"right_expr":{"type":"numeric_atoms","value":1168,"base":3}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1388,"base":3},"right_expr":{"type":"numeric_atoms","value":3858,"base":3}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2687,"base":3},"right_expr":{"type":"numeric_atoms","value":1102,"base":3}}}}},"used_operators":["PoHhknlbAi","sdazOOVcIp","lvlrscuwVU","AdZkA7nFnk","6iOiAJX1F8","gx7XJ7hdpj","27wFxooxGf","HiPekx5b7W","rrgAzCduG9","0KMCeP1Jsh","H6BK1Evt7c","OKKcZfAt5B","KPf6cnQVty","8HhzD0ZcuI","Af076pWI7l"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","12rbrZMWeM","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1793","layer":4},{"info":"number node, value=5645","layer":4},{"info":"compute binary expreesion, left_input=1793, right_input=5645, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1257","layer":4},{"info":"compute unary expreesion, input=1257, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=12570","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=12570, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-4764","layer":2},{"info":"number node, value=2281","layer":4},{"info":"compute unary expreesion, input=2281, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=9576","layer":3},{"info":"number node, value=5433","layer":4},{"info":"number node, value=2510","layer":4},{"info":"compute binary expreesion, left_input=5433, right_input=2510, 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=-4764","layer":3},{"info":"compute binary expreesion, left_input=9576, right_input=-4764, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-4764, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9426","layer":1},{"info":"number node, value=4145","layer":4},{"info":"compute unary expreesion, input=4145, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-159302","layer":3},{"info":"number node, value=9139","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=9139, right_input=1168, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12008","layer":3},{"info":"compute binary expreesion, left_input=-159302, right_input=-12008, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=319260","layer":2},{"info":"number node, value=1388","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=3858, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5789892","layer":3},{"info":"number node, value=2687","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=1102, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-5789892, right_input=-134, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=319260, right_input=160, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-9426, right_input=1234, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2110102⋅⇍⫏≰21202002)≴⪞⇿(⩪∧⨌⫏≰1201120)⪨≂(⊢≑≆⫏≰10010111)⫸⇳⫏≰21110020⨜⨶⫏≰10102222)∓⋝((⫯⫏≰12200112)≨⫏≰110112111≝⊿⫏≰1121021)⪃⊛⇣((⫏≰1220102⨽⫏≰12021220)∺≝⩲(⫏≰10200112↓⫏≰1111211))=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰2110102⋅⇍⫏≰21202002)≴⪞⇿(⩪∧⨌⫏≰1201120)⪨≂(⊢≑≆⫏≰10010111)⫸⇳⫏≰21110020⨜⨶⫏≰10102222)∓⋝((⫯⫏≰12200112)≨⫏≰110112111≝⊿⫏≰1121021)⪃⊛⇣((⫏≰1220102⨽⫏≰12021220)∺≝⩲(⫏≰10200112↓⫏≰1111211))","cot":[{"info":"⫏≰2110102⋅⇍⫏≰21202002=⫏≰-211","layer":3},{"info":"⩪∧⨌⫏≰1201120=⫏≰122020120","layer":3},{"info":"⫏≰-211≴⪞⇿⫏≰122020120=⫏≰-20112110","layer":2},{"info":"⊢≑≆⫏≰10010111=⫏≰111010200","layer":3},{"info":"⫏≰21110020⨜⨶⫏≰10102222=⫏≰-20112110","layer":3},{"info":"⫏≰111010200⫸⇳⫏≰-20112110=⫏≰0","layer":2},{"info":"⫏≰-20112110⪨≂⫏≰0=⫏≰-110221010","layer":1},{"info":"⫯⫏≰12200112=⫏≰-22002112002","layer":3},{"info":"⫏≰110112111≝⊿⫏≰1121021=⫏≰-121110202","layer":3},{"info":"⫏≰-22002112002≨⫏≰-121110202=⫏≰121012221110","layer":2},{"info":"⫏≰1220102⨽⫏≰12021220=⫏≰-101220011020110","layer":3},{"info":"⫏≰10200112↓⫏≰1111211=⫏≰-11222","layer":3},{"info":"⫏≰-101220011020110∺≝⩲⫏≰-11222=⫏≰12221","layer":2},{"info":"⫏≰121012221110⪃⊛⇣⫏≰12221=⫏≰1200201","layer":1},{"info":"⫏≰-110221010∓⋝⫏≰1200201=⫏≰2111","layer":0}]}
{"id":539,"expression_no_base_symbol":"($5544$⪒$7519$)⪎↠($5934$∛$2985$)≳⇉(∟⋨$5339$≎⪠$1845$)⇼⇔∾((⇋⊎⋝$1482$)≒∊$3265$⫣⪄⊒$5263$⫩⊇)","expression":"(⫏≰21121100⪒⫏≰101022111)⪎↠(⫏≰22010210∛⫏≰11002120)≳⇉(∟⋨⫏≰21022202≎⪠⫏≰2112100)⇼⇔∾((⇋⊎⋝⫏≰2000220)≒∊⫏≰11110221⫣⪄⊒⫏≰21012221⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":78508,"operation_count":11,"complexity_ratio":7137.090909090909,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5544,"base":3},"right_expr":{"type":"numeric_atoms","value":7519,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5934,"base":3},"right_expr":{"type":"numeric_atoms","value":2985,"base":3}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5339,"base":3},"right_expr":{"type":"numeric_atoms","value":1845,"base":3}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1482,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3265,"base":3},"right_expr":{"type":"numeric_atoms","value":5263,"base":3}}}}},"used_operators":["tifHPKVTfV","V0kx6qeWkN","3tVxb0NHM4","f6k1SAg4EE","w2537kitQq","ctOc4cKSDt","aNhz54LH3e","BjRHVeLaeN","5KTvxBwnZo","CzM2PEoXns","RabNbG55vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","tmPS8pqC7x","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","dWAJyo7jo9","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5544","layer":4},{"info":"number node, value=7519","layer":4},{"info":"compute binary expreesion, left_input=5544, right_input=7519, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13063","layer":3},{"info":"number node, value=5934","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=5934, right_input=2985, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-13063, right_input=-670, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"number node, value=5339","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=5339, right_input=1845, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-19074","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=-19074, 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=1482","layer":4},{"info":"compute unary expreesion, input=1482, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3265","layer":4},{"info":"number node, value=5263","layer":4},{"info":"compute binary expreesion, left_input=3265, right_input=5263, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-25560","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-25560, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21121100⪒⫏≰101022111)⪎↠(⫏≰22010210∛⫏≰11002120)≳⇉(∟⋨⫏≰21022202≎⪠⫏≰2112100)⇼⇔∾((⇋⊎⋝⫏≰2000220)≒∊⫏≰11110221⫣⪄⊒⫏≰21012221⫩⊇)=NaN","reverse_text":"NaN=(⫏≰21121100⪒⫏≰101022111)⪎↠(⫏≰22010210∛⫏≰11002120)≳⇉(∟⋨⫏≰21022202≎⪠⫏≰2112100)⇼⇔∾((⇋⊎⋝⫏≰2000220)≒∊⫏≰11110221⫣⪄⊒⫏≰21012221⫩⊇)","cot":[{"info":"⫏≰21121100⪒⫏≰101022111=⫏≰-122220211","layer":3},{"info":"⫏≰22010210∛⫏≰11002120=⫏≰-220211","layer":3},{"info":"⫏≰-122220211⪎↠⫏≰-220211=⫏≰-2001","layer":2},{"info":"⫏≰21022202≎⪠⫏≰2112100=⫏≰222211101","layer":3},{"info":"∟⋨⫏≰222211101=⫏≰-222011110","layer":2},{"info":"⫏≰-2001≳⇉⫏≰-222011110=NaN","layer":1},{"info":"⇋⊎⋝⫏≰2000220=NaN","layer":3},{"info":"⫏≰11110221⫣⪄⊒⫏≰21012221=⫏≰-1022001200","layer":3},{"info":"NaN≒∊⫏≰-1022001200=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"($3547$⪓⨏)⇂≾⫗($4286$⩍⋽⫝̸$1943$)∌$7006$⪝$2537$⫣⪄⊒($5028$⫣⪄⊒$2634$)≧⫂∧((∷≠(≦∁$4631$))⨎(($2681$⊊)⋐⇩⊬))","expression":"(⫏≰11212101⪓⨏)⇂≾⫗(⫏≰12212202⩍⋽⫝̸⫏≰2122222)∌⫏≰100121111⪝⫏≰10110222⫣⪄⊒(⫏≰20220020⫣⪄⊒⫏≰10121120)≧⫂∧((∷≠(≦∁⫏≰20100112))⨎((⫏≰10200022⊊)⋐⇩⊬))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4513,"operation_count":13,"complexity_ratio":347.15384615384613,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":3547,"base":3}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4286,"base":3},"right_expr":{"type":"numeric_atoms","value":1943,"base":3}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":7006,"base":3},"right_expr":{"type":"numeric_atoms","value":2537,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5028,"base":3},"right_expr":{"type":"numeric_atoms","value":2634,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4631,"base":3}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":2681,"base":3}}}}},"used_operators":["Ph9nP6C5qx","8cLx32lpNA","aBQ6xLxuTc","4X9JU4Jbn6","BiWNJpBvwn","RabNbG55vr","wicAB68Tmb","rJVOvQCfKK","QiR2Oyf5Xj","9ICcGScMcE","JuuLT1NoCs","W9R8I5fN5A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","7j4O788W3g","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA"],"result":"⫏≰11121002011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3547","layer":4},{"info":"compute unary expreesion, input=3547, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"number node, value=4286","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=1943, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=997","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=997, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=7006","layer":4},{"info":"number node, value=2537","layer":4},{"info":"compute binary expreesion, left_input=7006, right_input=2537, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-18275","layer":3},{"info":"number node, value=5028","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=5028, right_input=2634, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6260","layer":3},{"info":"compute binary expreesion, left_input=-18275, right_input=-6260, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-160","layer":1},{"info":"number node, value=4631","layer":4},{"info":"compute unary expreesion, input=4631, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4631","layer":3},{"info":"compute unary expreesion, input=4631, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4631","layer":2},{"info":"number node, value=2681","layer":4},{"info":"compute unary expreesion, input=2681, 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":3},{"info":"compute unary expreesion, input=90927, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=4631, right_input=90927, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=90927","layer":1},{"info":"compute binary expreesion, left_input=-160, right_input=90927, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=90454","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11212101⪓⨏)⇂≾⫗(⫏≰12212202⩍⋽⫝̸⫏≰2122222)∌⫏≰100121111⪝⫏≰10110222⫣⪄⊒(⫏≰20220020⫣⪄⊒⫏≰10121120)≧⫂∧((∷≠(≦∁⫏≰20100112))⨎((⫏≰10200022⊊)⋐⇩⊬))=⫏≰11121002011","reverse_text":"⫏≰11121002011=(⫏≰11212101⪓⨏)⇂≾⫗(⫏≰12212202⩍⋽⫝̸⫏≰2122222)∌⫏≰100121111⪝⫏≰10110222⫣⪄⊒(⫏≰20220020⫣⪄⊒⫏≰10121120)≧⫂∧((∷≠(≦∁⫏≰20100112))⨎((⫏≰10200022⊊)⋐⇩⊬))","cot":[{"info":"⫏≰11212101⪓⨏=NaN","layer":3},{"info":"⫏≰12212202⩍⋽⫝̸⫏≰2122222=⫏≰1100221","layer":3},{"info":"NaN⇂≾⫗⫏≰1100221=NaN","layer":2},{"info":"⫏≰100121111⪝⫏≰10110222=⫏≰-221001212","layer":3},{"info":"⫏≰20220020⫣⪄⊒⫏≰10121120=⫏≰-22120212","layer":3},{"info":"⫏≰-221001212⫣⪄⊒⫏≰-22120212=⫏≰12221","layer":2},{"info":"NaN∌⫏≰12221=⫏≰-12221","layer":1},{"info":"≦∁⫏≰20100112=⫏≰20100112","layer":3},{"info":"∷≠⫏≰20100112=⫏≰20100112","layer":2},{"info":"⫏≰10200022⊊=⫏≰11121201200","layer":3},{"info":"⫏≰11121201200⋐⇩⊬=⫏≰11121201200","layer":2},{"info":"⫏≰20100112⨎⫏≰11121201200=⫏≰11121201200","layer":1},{"info":"⫏≰-12221≧⫂∧⫏≰11121201200=⫏≰11121002011","layer":0}]}
{"id":541,"expression_no_base_symbol":"((≸$2147$)⩍⋽⫝̸$4399$↳∿⪆$4419$)⨿($2415$≠≀$1135$↱$2349$≧⫂∧$3444$)⇴(($4122$⪘⫢$1552$)⫞⩸⩒($3646$⋣⋖$2812$)⊠≄⫣)","expression":"((≸⫏≰2221112)⩍⋽⫝̸⫏≰20000221↳∿⪆⫏≰20001200)⨿(⫏≰10022110≠≀⫏≰1120001↱⫏≰10020000≧⫂∧⫏≰11201120)⇴((⫏≰12122200⪘⫢⫏≰2010111)⫞⩸⩒(⫏≰12000001⋣⋖⫏≰10212011)⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2842,"operation_count":12,"complexity_ratio":236.83333333333334,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2147,"base":3}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4399,"base":3},"right_expr":{"type":"numeric_atoms","value":4419,"base":3}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2415,"base":3},"right_expr":{"type":"numeric_atoms","value":1135,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2349,"base":3},"right_expr":{"type":"numeric_atoms","value":3444,"base":3}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4122,"base":3},"right_expr":{"type":"numeric_atoms","value":1552,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3646,"base":3},"right_expr":{"type":"numeric_atoms","value":2812,"base":3}}}}},"used_operators":["4JB6nKBMSY","abYXlopdE0","BiWNJpBvwn","eOf03JbCpp","Cw4SuJJGHO","SR5kFfdi6N","IwW236VD4Y","Ph9nP6C5qx","DIvbN7qnHd","XGcMNugi78","oacrs7FA3X","J0M6qkBnIM"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Ph9nP6C5qx","xUOZtlo3hN","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫏≰121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2147","layer":4},{"info":"compute unary expreesion, input=2147, 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":3},{"info":"number node, value=4399","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=4399, right_input=4419, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"number node, value=2415","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=1135, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4524","layer":3},{"info":"number node, value=2349","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=3444, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2971","layer":3},{"info":"compute binary expreesion, left_input=-4524, right_input=2971, 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=-8391","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8391, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=4122","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=4122, right_input=1552, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8120","layer":3},{"info":"number node, value=3646","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=3646, right_input=2812, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3646","layer":3},{"info":"compute binary expreesion, left_input=8120, right_input=3646, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3646","layer":2},{"info":"compute unary expreesion, input=3646, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16","layer":0}],"base":3,"result_base":3,"text":"((≸⫏≰2221112)⩍⋽⫝̸⫏≰20000221↳∿⪆⫏≰20001200)⨿(⫏≰10022110≠≀⫏≰1120001↱⫏≰10020000≧⫂∧⫏≰11201120)⇴((⫏≰12122200⪘⫢⫏≰2010111)⫞⩸⩒(⫏≰12000001⋣⋖⫏≰10212011)⊠≄⫣)=⫏≰121","reverse_text":"⫏≰121=((≸⫏≰2221112)⩍⋽⫝̸⫏≰20000221↳∿⪆⫏≰20001200)⨿(⫏≰10022110≠≀⫏≰1120001↱⫏≰10020000≧⫂∧⫏≰11201120)⇴((⫏≰12122200⪘⫢⫏≰2010111)⫞⩸⩒(⫏≰12000001⋣⋖⫏≰10212011)⊠≄⫣)","cot":[{"info":"≸⫏≰2221112=⫏≰2011","layer":3},{"info":"⫏≰20000221↳∿⪆⫏≰20001200=NaN","layer":3},{"info":"⫏≰2011⩍⋽⫝̸NaN=NaN","layer":2},{"info":"⫏≰10022110≠≀⫏≰1120001=⫏≰-20012120","layer":3},{"info":"⫏≰10020000≧⫂∧⫏≰11201120=⫏≰11002001","layer":3},{"info":"⫏≰-20012120↱⫏≰11002001=⫏≰-102111210","layer":2},{"info":"NaN⨿⫏≰-102111210=⫏≰2111","layer":1},{"info":"⫏≰12122200⪘⫢⫏≰2010111=⫏≰102010202","layer":3},{"info":"⫏≰12000001⋣⋖⫏≰10212011=⫏≰12000001","layer":3},{"info":"⫏≰102010202⫞⩸⩒⫏≰12000001=⫏≰12000001","layer":2},{"info":"⫏≰12000001⊠≄⫣=⫏≰0","layer":1},{"info":"⫏≰2111⇴⫏≰0=⫏≰121","layer":0}]}
{"id":542,"expression_no_base_symbol":"($2313$∼$1492$)⊴($4733$∽$7586$)⇼⇔∾($1960$∌↝$1690$)⪝($1993$↳∿⪆$4237$)⫦⪉(↨⩢⫨$2547$)⨂≜(⨛$1805$)⩷∴($3260$⩣⫁∢$6870$)↤⩊($2094$↹⊜$3967$)","expression":"(⫏≰10011200∼⫏≰2001021)⊴(⫏≰20111022∽⫏≰101101222)⇼⇔∾(⫏≰2200121∌↝⫏≰2022121)⪝(⫏≰2201211↳∿⪆⫏≰12210221)⫦⪉(↨⩢⫨⫏≰10111100)⨂≜(⨛⫏≰2110212)⩷∴(⫏≰11110202⩣⫁∢⫏≰100102110)↤⩊(⫏≰2212120↹⊜⫏≰12102221)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":49578,"operation_count":15,"complexity_ratio":3305.2,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2313,"base":3},"right_expr":{"type":"numeric_atoms","value":1492,"base":3}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4733,"base":3},"right_expr":{"type":"numeric_atoms","value":7586,"base":3}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1960,"base":3},"right_expr":{"type":"numeric_atoms","value":1690,"base":3}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1993,"base":3},"right_expr":{"type":"numeric_atoms","value":4237,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":2547,"base":3}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1805,"base":3}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3260,"base":3},"right_expr":{"type":"numeric_atoms","value":6870,"base":3}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2094,"base":3},"right_expr":{"type":"numeric_atoms","value":3967,"base":3}}}}},"used_operators":["wscyQdcy20","tifHPKVTfV","Nsiff2A1zJ","DyGG3AbaNP","y4ImoPnbV5","wicAB68Tmb","9Isq31Ruls","Cw4SuJJGHO","9FxExcQeMw","k1SHOSEABc","Z5CJsN7DuW","CoMdbyAt7R","13rbtpv6ld","JDUIKTTSIa","9bazX3JMtO"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","NTOWxs364D","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2313","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=1492, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4733","layer":4},{"info":"number node, value=7586","layer":4},{"info":"compute binary expreesion, left_input=4733, right_input=7586, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-46245","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-46245, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1960","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=1690, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1993","layer":4},{"info":"number node, value=4237","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=4237, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2547","layer":4},{"info":"compute unary expreesion, input=2547, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=1805","layer":4},{"info":"compute unary expreesion, input=1805, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=3260","layer":4},{"info":"number node, value=6870","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=6870, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6359","layer":3},{"info":"number node, value=2094","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=3967, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-11776","layer":3},{"info":"compute binary expreesion, left_input=-6359, right_input=-11776, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10011200∼⫏≰2001021)⊴(⫏≰20111022∽⫏≰101101222)⇼⇔∾(⫏≰2200121∌↝⫏≰2022121)⪝(⫏≰2201211↳∿⪆⫏≰12210221)⫦⪉(↨⩢⫨⫏≰10111100)⨂≜(⨛⫏≰2110212)⩷∴(⫏≰11110202⩣⫁∢⫏≰100102110)↤⩊(⫏≰2212120↹⊜⫏≰12102221)=NaN","reverse_text":"NaN=(⫏≰10011200∼⫏≰2001021)⊴(⫏≰20111022∽⫏≰101101222)⇼⇔∾(⫏≰2200121∌↝⫏≰2022121)⪝(⫏≰2201211↳∿⪆⫏≰12210221)⫦⪉(↨⩢⫨⫏≰10111100)⨂≜(⨛⫏≰2110212)⩷∴(⫏≰11110202⩣⫁∢⫏≰100102110)↤⩊(⫏≰2212120↹⊜⫏≰12102221)","cot":[{"info":"⫏≰10011200∼⫏≰2001021=NaN","layer":3},{"info":"⫏≰20111022∽⫏≰101101222=⫏≰-2100102210","layer":3},{"info":"NaN⊴⫏≰-2100102210=NaN","layer":2},{"info":"⫏≰2200121∌↝⫏≰2022121=⫏≰0","layer":3},{"info":"⫏≰2201211↳∿⪆⫏≰12210221=NaN","layer":3},{"info":"⫏≰0⪝NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"↨⩢⫨⫏≰10111100=⫏≰0","layer":3},{"info":"⨛⫏≰2110212=NaN","layer":3},{"info":"⫏≰0⨂≜NaN=NaN","layer":2},{"info":"⫏≰11110202⩣⫁∢⫏≰100102110=⫏≰-22201112","layer":3},{"info":"⫏≰2212120↹⊜⫏≰12102221=⫏≰-121011011","layer":3},{"info":"⫏≰-22201112↤⩊⫏≰-121011011=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⫦⪉NaN=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"((⪁⇼($1268$∩⋅))⋥≓≎(⫡⇟⇯($2640$⫥∨⫟$1571$)))⨌↪","expression":"((⪁⇼(⫏≰1201222∩⋅))⋥≓≎(⫡⇟⇯(⫏≰10121210⫥∨⫟⫏≰2011012)))⨌↪","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":188,"operation_count":6,"complexity_ratio":31.333333333333332,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1268,"base":3}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2640,"base":3},"right_expr":{"type":"numeric_atoms","value":1571,"base":3}}}}},"used_operators":["cWQsF5MvuD","Qy55tPpLXF","ZNVVrZ94lY","2MzE1hQ0cz","qWUSsah53b","KYD54nUTWz"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Qy55tPpLXF","DZ8iAZOCBD","P8v4zCKN1o","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫏≰-122210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"compute unary expreesion, input=1268, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1147","layer":3},{"info":"compute unary expreesion, input=-1147, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=2640","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=2640, right_input=1571, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":3,"result_base":3,"text":"((⪁⇼(⫏≰1201222∩⋅))⋥≓≎(⫡⇟⇯(⫏≰10121210⫥∨⫟⫏≰2011012)))⨌↪=⫏≰-122210","reverse_text":"⫏≰-122210=((⪁⇼(⫏≰1201222∩⋅))⋥≓≎(⫡⇟⇯(⫏≰10121210⫥∨⫟⫏≰2011012)))⨌↪","cot":[{"info":"⫏≰1201222∩⋅=⫏≰-1120111","layer":3},{"info":"⪁⇼⫏≰-1120111=⫏≰120122","layer":2},{"info":"⫏≰10121210⫥∨⫟⫏≰2011012=NaN","layer":3},{"info":"⫡⇟⇯NaN=NaN","layer":2},{"info":"⫏≰120122⋥≓≎NaN=NaN","layer":1},{"info":"NaN⨌↪=⫏≰-122210","layer":0}]}
{"id":544,"expression_no_base_symbol":"((⨡↴(⪫⨮⊛$1018$))⪐)⪕(($1497$⩖⊿$3829$↪⪝)⨐⩸⫘($2520$∠⫱$5628$)↤⩊($2683$⊢$4507$))","expression":"((⨡↴(⪫⨮⊛⫏≰1101201))⪐)⪕((⫏≰2001110⩖⊿⫏≰12020211↪⪝)⨐⩸⫘(⫏≰10110100∠⫱⫏≰21201110)↤⩊(⫏≰10200101⊢⫏≰20011221))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":953,"operation_count":10,"complexity_ratio":95.3,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1018,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1497,"base":3},"right_expr":{"type":"numeric_atoms","value":3829,"base":3}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2520,"base":3},"right_expr":{"type":"numeric_atoms","value":5628,"base":3}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2683,"base":3},"right_expr":{"type":"numeric_atoms","value":4507,"base":3}}}}},"used_operators":["umQnsF7QlU","eH2TOUuTDT","liw5iZPkLH","w5FWba1tyO","fu6greOZ01","l07mrZUIn9","RZ5CV9rWsJ","13rbtpv6ld","QvoQhV0rrE","5twsqlHp2o"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⫏≰1021122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1018","layer":3},{"info":"compute unary expreesion, input=1018, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2067","layer":2},{"info":"compute unary expreesion, input=2067, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4134","layer":1},{"info":"number node, value=1497","layer":4},{"info":"number node, value=3829","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=3829, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=24562","layer":3},{"info":"compute unary expreesion, input=24562, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=1502752284","layer":2},{"info":"number node, value=2520","layer":4},{"info":"number node, value=5628","layer":4},{"info":"compute binary expreesion, left_input=2520, right_input=5628, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=4507","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=4507, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5610","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-5610, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1502752284, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4134, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":3,"result_base":3,"text":"((⨡↴(⪫⨮⊛⫏≰1101201))⪐)⪕((⫏≰2001110⩖⊿⫏≰12020211↪⪝)⨐⩸⫘(⫏≰10110100∠⫱⫏≰21201110)↤⩊(⫏≰10200101⊢⫏≰20011221))=⫏≰1021122","reverse_text":"⫏≰1021122=((⨡↴(⪫⨮⊛⫏≰1101201))⪐)⪕((⫏≰2001110⩖⊿⫏≰12020211↪⪝)⨐⩸⫘(⫏≰10110100∠⫱⫏≰21201110)↤⩊(⫏≰10200101⊢⫏≰20011221))","cot":[{"info":"⪫⨮⊛⫏≰1101201=⫏≰1101201","layer":3},{"info":"⨡↴⫏≰1101201=⫏≰2211120","layer":2},{"info":"⫏≰2211120⪐=⫏≰12200010","layer":1},{"info":"⫏≰2001110⩖⊿⫏≰12020211=⫏≰1020200201","layer":3},{"info":"⫏≰1020200201↪⪝=⫏≰10212201200201121000","layer":2},{"info":"⫏≰10110100∠⫱⫏≰21201110=⫏≰1200201","layer":3},{"info":"⫏≰10200101⊢⫏≰20011221=⫏≰-21200210","layer":3},{"info":"⫏≰1200201↤⩊⫏≰-21200210=NaN","layer":2},{"info":"⫏≰10212201200201121000⨐⩸⫘NaN=NaN","layer":1},{"info":"⫏≰12200010⪕NaN=⫏≰1021122","layer":0}]}
{"id":545,"expression_no_base_symbol":"(⪸(($1002$≃$3524$)∣($1381$+⇶⊼$1200$)))↼⊘⨖((($2226$⋐⇩⊬)∠↢$1308$⪇≇⋚$2158$)↓⨍⋜)","expression":"(⪸((⫏≰1101010≃⫏≰11211112)∣(⫏≰1220011+⇶⊼⫏≰1122110)))↼⊘⨖(((⫏≰10001110⋐⇩⊬)∠↢⫏≰1210110⪇≇⋚⫏≰2221221)↓⨍⋜)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":351,"operation_count":9,"complexity_ratio":39.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1002,"base":3},"right_expr":{"type":"numeric_atoms","value":3524,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1381,"base":3},"right_expr":{"type":"numeric_atoms","value":1200,"base":3}}}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2226,"base":3}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1308,"base":3},"right_expr":{"type":"numeric_atoms","value":2158,"base":3}}}}},"used_operators":["bPywburJMS","86A5ENbKR9","PPChnnnBFF","YbVcJGFEVW","TpPTUOHfaN","3DVzLFNsE9","KbjG8mgYpV","JuuLT1NoCs","3sJ7IOPOlU"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⫏≰1211001122120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=3524, 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=-4048","layer":3},{"info":"number node, value=1381","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=1200, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4048, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-4048","layer":2},{"info":"compute unary expreesion, input=-4048, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=38582","layer":1},{"info":"number node, value=2226","layer":4},{"info":"compute unary expreesion, input=2226, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2226","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=2158, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2226, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-7822","layer":2},{"info":"compute unary expreesion, input=-7822, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=482946","layer":1},{"info":"compute binary expreesion, left_input=38582, right_input=482946, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=965670","layer":0}],"base":3,"result_base":3,"text":"(⪸((⫏≰1101010≃⫏≰11211112)∣(⫏≰1220011+⇶⊼⫏≰1122110)))↼⊘⨖(((⫏≰10001110⋐⇩⊬)∠↢⫏≰1210110⪇≇⋚⫏≰2221221)↓⨍⋜)=⫏≰1211001122120","reverse_text":"⫏≰1211001122120=(⪸((⫏≰1101010≃⫏≰11211112)∣(⫏≰1220011+⇶⊼⫏≰1122110)))↼⊘⨖(((⫏≰10001110⋐⇩⊬)∠↢⫏≰1210110⪇≇⋚⫏≰2221221)↓⨍⋜)","cot":[{"info":"⫏≰1101010≃⫏≰11211112=⫏≰-12112221","layer":3},{"info":"⫏≰1220011+⇶⊼⫏≰1122110=NaN","layer":3},{"info":"⫏≰-12112221∣NaN=⫏≰-12112221","layer":2},{"info":"⪸⫏≰-12112221=⫏≰1221220222","layer":1},{"info":"⫏≰10001110⋐⇩⊬=⫏≰10001110","layer":3},{"info":"⫏≰1210110⪇≇⋚⫏≰2221221=⫏≰0","layer":3},{"info":"⫏≰10001110∠↢⫏≰0=⫏≰-101201201","layer":2},{"info":"⫏≰-101201201↓⨍⋜=⫏≰220112110220","layer":1},{"info":"⫏≰1221220222↼⊘⨖⫏≰220112110220=⫏≰1211001122120","layer":0}]}
{"id":546,"expression_no_base_symbol":"(($1838$⋹⋡⊁$2320$⨶)⨔⇊(($2174$⫲)∪⫐(⊗$2896$)))⪟⇏(≯($3615$⇣⩺⋵$2449$)⨐($1067$⊋≦⊧$2460$))","expression":"((⫏≰2112002⋹⋡⊁⫏≰10011221⨶)⨔⇊((⫏≰2222112⫲)∪⫐(⊗⫏≰10222021)))⪟⇏(≯(⫏≰11221220⇣⩺⋵⫏≰10100201)⨐(⫏≰1110112⊋≦⊧⫏≰10101010))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62719,"operation_count":11,"complexity_ratio":5701.727272727273,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1838,"base":3},"right_expr":{"type":"numeric_atoms","value":2320,"base":3}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":2174,"base":3}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2896,"base":3}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3615,"base":3},"right_expr":{"type":"numeric_atoms","value":2449,"base":3}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1067,"base":3},"right_expr":{"type":"numeric_atoms","value":2460,"base":3}}}}},"used_operators":["GODebY97qR","JclMnS0uGI","rFxw8gIMmB","As8RqfVLgs","7YooWSwCyH","9xnGDUPbC6","RhiyfpczSx","keWfFq85dY","Noe24qw2ks","F4yD0voBRQ","oRDoc9rAEX"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","f6k1SAg4EE","Qy55tPpLXF","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","g55IO6H4Gj","JLbD19bQDL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=2320, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3070","layer":3},{"info":"compute unary expreesion, input=3070, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=4394","layer":2},{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1901","layer":3},{"info":"number node, value=2896","layer":4},{"info":"compute unary expreesion, input=2896, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-5792","layer":3},{"info":"compute binary expreesion, left_input=1901, right_input=-5792, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1901","layer":2},{"info":"compute binary expreesion, left_input=4394, right_input=1901, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1901","layer":1},{"info":"number node, value=3615","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=3615, right_input=2449, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=2460, 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=-3287","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-3287, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=520","layer":2},{"info":"compute unary expreesion, input=520, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1901, right_input=0, 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":3,"result_base":3,"text":"((⫏≰2112002⋹⋡⊁⫏≰10011221⨶)⨔⇊((⫏≰2222112⫲)∪⫐(⊗⫏≰10222021)))⪟⇏(≯(⫏≰11221220⇣⩺⋵⫏≰10100201)⨐(⫏≰1110112⊋≦⊧⫏≰10101010))=⫏≰0","reverse_text":"⫏≰0=((⫏≰2112002⋹⋡⊁⫏≰10011221⨶)⨔⇊((⫏≰2222112⫲)∪⫐(⊗⫏≰10222021)))⪟⇏(≯(⫏≰11221220⇣⩺⋵⫏≰10100201)⨐(⫏≰1110112⊋≦⊧⫏≰10101010))","cot":[{"info":"⫏≰2112002⋹⋡⊁⫏≰10011221=⫏≰11012201","layer":3},{"info":"⫏≰11012201⨶=⫏≰20000202","layer":2},{"info":"⫏≰2222112⫲=⫏≰2121102","layer":3},{"info":"⊗⫏≰10222021=⫏≰-21221112","layer":3},{"info":"⫏≰2121102∪⫐⫏≰-21221112=⫏≰2121102","layer":2},{"info":"⫏≰20000202⨔⇊⫏≰2121102=⫏≰2121102","layer":1},{"info":"⫏≰11221220⇣⩺⋵⫏≰10100201=⫏≰-100122","layer":3},{"info":"⫏≰1110112⊋≦⊧⫏≰10101010=⫏≰-11111202","layer":3},{"info":"⫏≰-100122⨐⫏≰-11111202=⫏≰201021","layer":2},{"info":"≯⫏≰201021=⫏≰0","layer":1},{"info":"⫏≰2121102⪟⇏⫏≰0=⫏≰0","layer":0}]}
{"id":547,"expression_no_base_symbol":"(⫇($1289$↛⩡⫤)≝⊿($1118$⋻⩜⩜$2496$))⊮⊟↴((($4641$∖$1275$)⋣⋖(⊿$2104$))⊴(⊀$5217$≎⪠$7269$))","expression":"(⫇(⫏≰1202202↛⩡⫤)≝⊿(⫏≰1112102⋻⩜⩜⫏≰10102110))⊮⊟↴(((⫏≰20100220∖⫏≰1202020)⋣⋖(⊿⫏≰2212221))⊴(⊀⫏≰21011020≎⪠⫏≰100222020))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":136432,"operation_count":11,"complexity_ratio":12402.90909090909,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1289,"base":3}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1118,"base":3},"right_expr":{"type":"numeric_atoms","value":2496,"base":3}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4641,"base":3},"right_expr":{"type":"numeric_atoms","value":1275,"base":3}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":2104,"base":3}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5217,"base":3},"right_expr":{"type":"numeric_atoms","value":7269,"base":3}}}}},"used_operators":["QDVgd2eftb","YjI8oCXuph","OKKcZfAt5B","FU0Cs4j7VP","oDCm7WA9JY","Nsiff2A1zJ","J0M6qkBnIM","tXD093vOjl","DO4fhlbJSI","oPMjh9089D","aNhz54LH3e"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","12rbrZMWeM","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","14qkJME0vr","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1289","layer":4},{"info":"compute unary expreesion, input=1289, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-190728","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=2496","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=2496, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2236","layer":3},{"info":"compute binary expreesion, left_input=-190728, right_input=2236, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=185723","layer":2},{"info":"compute unary expreesion, input=185723, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-370232","layer":1},{"info":"number node, value=4641","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=4641, right_input=1275, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=2104","layer":4},{"info":"compute unary expreesion, input=2104, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-9154","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9154, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=0","layer":2},{"info":"number node, value=5217","layer":4},{"info":"number node, value=7269","layer":4},{"info":"compute binary expreesion, left_input=5217, right_input=7269, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=77970","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=77970, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-370232, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫇(⫏≰1202202↛⩡⫤)≝⊿(⫏≰1112102⋻⩜⩜⫏≰10102110))⊮⊟↴(((⫏≰20100220∖⫏≰1202020)⋣⋖(⊿⫏≰2212221))⊴(⊀⫏≰21011020≎⪠⫏≰100222020))=NaN","reverse_text":"NaN=(⫇(⫏≰1202202↛⩡⫤)≝⊿(⫏≰1112102⋻⩜⩜⫏≰10102110))⊮⊟↴(((⫏≰20100220∖⫏≰1202020)⋣⋖(⊿⫏≰2212221))⊴(⊀⫏≰21011020≎⪠⫏≰100222020))","cot":[{"info":"⫏≰1202202↛⩡⫤=⫏≰-100200122000","layer":3},{"info":"⫏≰1112102⋻⩜⩜⫏≰10102110=⫏≰10001211","layer":3},{"info":"⫏≰-100200122000≝⊿⫏≰10001211=⫏≰100102202122","layer":2},{"info":"⫇⫏≰100102202122=⫏≰-200210212022","layer":1},{"info":"⫏≰20100220∖⫏≰1202020=⫏≰0","layer":3},{"info":"⊿⫏≰2212221=⫏≰-110120001","layer":3},{"info":"⫏≰0⋣⋖⫏≰-110120001=⫏≰0","layer":2},{"info":"⫏≰21011020≎⪠⫏≰100222020=⫏≰222211101","layer":3},{"info":"⊀⫏≰222211101=⫏≰10221221210","layer":2},{"info":"⫏≰0⊴⫏≰10221221210=NaN","layer":1},{"info":"⫏≰-200210212022⊮⊟↴NaN=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"(⨈⫕(⨦⪝($2694$∼$2749$)))↸(⊢≑≆$5576$)⊋($1549$⊘)∀⇚≩$1502$≴⪞⇿$5844$⫉⨲⊜($3081$⨑≵⋬$4871$)","expression":"(⨈⫕(⨦⪝(⫏≰10200210∼⫏≰10202211)))↸(⊢≑≆⫏≰21122112)⊋(⫏≰2010101⊘)∀⇚≩⫏≰2001122≴⪞⇿⫏≰22000110⫉⨲⊜(⫏≰11020010⨑≵⋬⫏≰20200102)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40045,"operation_count":11,"complexity_ratio":3640.4545454545455,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2694,"base":3},"right_expr":{"type":"numeric_atoms","value":2749,"base":3}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":5576,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1549,"base":3}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1502,"base":3},"right_expr":{"type":"numeric_atoms","value":5844,"base":3}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3081,"base":3},"right_expr":{"type":"numeric_atoms","value":4871,"base":3}}}}},"used_operators":["1eCjFl0mb9","megm06wKyl","SUjycxNXIR","DyGG3AbaNP","LRNGc0VcxI","W4tP9CfskL","27wFxooxGf","gu96TGCTMs","WhqkvtTD3t","lvlrscuwVU","XnXgA4xnOs"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","eewbuw0ToL","zVYPLywUTj","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⫏≰-210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2694","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=2749, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute unary expreesion, input=-1884, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=5576","layer":4},{"info":"compute unary expreesion, input=5576, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=22756","layer":3},{"info":"number node, value=1549","layer":4},{"info":"compute unary expreesion, input=1549, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=22756, 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":2},{"info":"number node, value=1502","layer":4},{"info":"number node, value=5844","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=5844, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3021116","layer":3},{"info":"number node, value=3081","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=4871, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-17313","layer":3},{"info":"compute binary expreesion, left_input=3021116, right_input=-17313, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-17423","layer":2},{"info":"compute binary expreesion, left_input=-5454, right_input=-17423, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-21","layer":0}],"base":3,"result_base":3,"text":"(⨈⫕(⨦⪝(⫏≰10200210∼⫏≰10202211)))↸(⊢≑≆⫏≰21122112)⊋(⫏≰2010101⊘)∀⇚≩⫏≰2001122≴⪞⇿⫏≰22000110⫉⨲⊜(⫏≰11020010⨑≵⋬⫏≰20200102)=⫏≰-210","reverse_text":"⫏≰-210=(⨈⫕(⨦⪝(⫏≰10200210∼⫏≰10202211)))↸(⊢≑≆⫏≰21122112)⊋(⫏≰2010101⊘)∀⇚≩⫏≰2001122≴⪞⇿⫏≰22000110⫉⨲⊜(⫏≰11020010⨑≵⋬⫏≰20200102)","cot":[{"info":"⫏≰10200210∼⫏≰10202211=NaN","layer":3},{"info":"⨦⪝NaN=⫏≰-2120210","layer":2},{"info":"⨈⫕⫏≰-2120210=⫏≰-210","layer":1},{"info":"⊢≑≆⫏≰21122112=⫏≰1011012211","layer":3},{"info":"⫏≰2010101⊘=⫏≰0","layer":3},{"info":"⫏≰1011012211⊋⫏≰0=⫏≰-21111000","layer":2},{"info":"⫏≰2001122≴⪞⇿⫏≰22000110=⫏≰12200111012012","layer":3},{"info":"⫏≰11020010⨑≵⋬⫏≰20200102=⫏≰-212202020","layer":3},{"info":"⫏≰12200111012012⫉⨲⊜⫏≰-212202020=⫏≰-212220022","layer":2},{"info":"⫏≰-21111000∀⇚≩⫏≰-212220022=NaN","layer":1},{"info":"⫏≰-210↸NaN=⫏≰-210","layer":0}]}
{"id":549,"expression_no_base_symbol":"((⨰⫟⨤$5951$∣$6117$)∲⫓($3034$⪶≀⋏$1733$)≚⊃≕$3540$≌$6934$)∘(($3145$⪮%⊝$8848$⨒$2746$∝$1175$)≬⇓($3374$⇀∌)⨓($1854$+⇶⊼$2931$))","expression":"((⨰⫟⨤⫏≰22011102∣⫏≰22101120)∲⫓(⫏≰11011101⪶≀⋏⫏≰2101012)≚⊃≕⫏≰11212010≌⫏≰100111211)∘((⫏≰11022111⪮%⊝⫏≰110010201⨒⫏≰10202201∝⫏≰1121112)≬⇓(⫏≰11121222⇀∌)⨓(⫏≰2112200+⇶⊼⫏≰11000120))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":148191,"operation_count":14,"complexity_ratio":10585.07142857143,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5951,"base":3},"right_expr":{"type":"numeric_atoms","value":6117,"base":3}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3034,"base":3},"right_expr":{"type":"numeric_atoms","value":1733,"base":3}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3540,"base":3},"right_expr":{"type":"numeric_atoms","value":6934,"base":3}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3145,"base":3},"right_expr":{"type":"numeric_atoms","value":8848,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2746,"base":3},"right_expr":{"type":"numeric_atoms","value":1175,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":3374,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1854,"base":3},"right_expr":{"type":"numeric_atoms","value":2931,"base":3}}}}},"used_operators":["Z5m6OM72h2","i8ToyICDmI","Tw270M8GLb","PPChnnnBFF","Bmrmz2XGnR","zR4jO40bMj","lyWz822IDG","jWTQ2TZYIH","y75s1iXyHd","IWmyXbctLI","cTDWOvIxvz","3ViojmjbAp","2k53nXOpI5","TpPTUOHfaN"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","7j4O788W3g","W4YGzv6Whe","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5951","layer":4},{"info":"number node, value=6117","layer":4},{"info":"compute binary expreesion, left_input=5951, right_input=6117, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5951","layer":3},{"info":"compute unary expreesion, input=5951, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=3034","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=1733, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12800","layer":3},{"info":"number node, value=3540","layer":4},{"info":"number node, value=6934","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=6934, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12800, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=3145","layer":4},{"info":"number node, value=8848","layer":4},{"info":"compute binary expreesion, left_input=3145, right_input=8848, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6606","layer":3},{"info":"number node, value=2746","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=2746, right_input=1175, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2751","layer":3},{"info":"compute binary expreesion, left_input=6606, right_input=2751, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-39264","layer":2},{"info":"number node, value=3374","layer":4},{"info":"compute unary expreesion, input=3374, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"number node, value=1854","layer":4},{"info":"number node, value=2931","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=2931, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-39264, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨰⫟⨤⫏≰22011102∣⫏≰22101120)∲⫓(⫏≰11011101⪶≀⋏⫏≰2101012)≚⊃≕⫏≰11212010≌⫏≰100111211)∘((⫏≰11022111⪮%⊝⫏≰110010201⨒⫏≰10202201∝⫏≰1121112)≬⇓(⫏≰11121222⇀∌)⨓(⫏≰2112200+⇶⊼⫏≰11000120))=NaN","reverse_text":"NaN=((⨰⫟⨤⫏≰22011102∣⫏≰22101120)∲⫓(⫏≰11011101⪶≀⋏⫏≰2101012)≚⊃≕⫏≰11212010≌⫏≰100111211)∘((⫏≰11022111⪮%⊝⫏≰110010201⨒⫏≰10202201∝⫏≰1121112)≬⇓(⫏≰11121222⇀∌)⨓(⫏≰2112200+⇶⊼⫏≰11000120))","cot":[{"info":"⫏≰22011102∣⫏≰22101120=⫏≰22011102","layer":3},{"info":"⨰⫟⨤⫏≰22011102=NaN","layer":2},{"info":"⫏≰11011101⪶≀⋏⫏≰2101012=⫏≰-122120002","layer":3},{"info":"⫏≰11212010≌⫏≰100111211=NaN","layer":3},{"info":"⫏≰-122120002≚⊃≕NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⫏≰11022111⪮%⊝⫏≰110010201=⫏≰100001200","layer":3},{"info":"⫏≰10202201∝⫏≰1121112=⫏≰10202220","layer":3},{"info":"⫏≰100001200⨒⫏≰10202220=⫏≰-1222212020","layer":2},{"info":"⫏≰11121222⇀∌=⫏≰11012","layer":3},{"info":"⫏≰2112200+⇶⊼⫏≰11000120=NaN","layer":3},{"info":"⫏≰11012⨓NaN=NaN","layer":2},{"info":"⫏≰-1222212020≬⇓NaN=Inf","layer":1},{"info":"NaN∘Inf=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"⊈((↨($1993$⩵∡$1014$))⇣⩺⋵(⇤←$4755$∺≝⩲$5383$))","expression":"⊈((↨(⫏≰2201211⩵∡⫏≰1101120))⇣⩺⋵(⇤←⫏≰20112010∺≝⩲⫏≰21101101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":270,"operation_count":6,"complexity_ratio":45.0,"tree":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1993,"base":3},"right_expr":{"type":"numeric_atoms","value":1014,"base":3}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4755,"base":3},"right_expr":{"type":"numeric_atoms","value":5383,"base":3}}}}},"used_operators":["RHru8klgy8","F4yD0voBRQ","jiX4gk2v2Q","Y7wcNGrDQJ","jfAgQ2OQeM","KPf6cnQVty"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rGHVDoGpnC","oZj3VtZNQx","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫏≰10012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1993","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=1014, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3093","layer":3},{"info":"compute unary expreesion, input=-3093, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=4755","layer":4},{"info":"number node, value=5383","layer":4},{"info":"compute binary expreesion, left_input=4755, right_input=5383, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=566","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=566, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=86","layer":0}],"base":3,"result_base":3,"text":"⊈((↨(⫏≰2201211⩵∡⫏≰1101120))⇣⩺⋵(⇤←⫏≰20112010∺≝⩲⫏≰21101101))=⫏≰10012","reverse_text":"⫏≰10012=⊈((↨(⫏≰2201211⩵∡⫏≰1101120))⇣⩺⋵(⇤←⫏≰20112010∺≝⩲⫏≰21101101))","cot":[{"info":"⫏≰2201211⩵∡⫏≰1101120=⫏≰-11020120","layer":3},{"info":"↨⫏≰-11020120=NaN","layer":2},{"info":"⫏≰20112010∺≝⩲⫏≰21101101=⫏≰12221","layer":3},{"info":"⇤←⫏≰12221=⫏≰202222","layer":2},{"info":"NaN⇣⩺⋵⫏≰202222=⫏≰-100122","layer":1},{"info":"⊈⫏≰-100122=⫏≰10012","layer":0}]}
{"id":551,"expression_no_base_symbol":"⨭⩧⫛(($1734$⫘$3773$⊓⋫)⫳≱↱($2089$⩁⩘$4218$∖$1024$⨸$1146$))","expression":"⨭⩧⫛((⫏≰2101020⫘⫏≰12011202⊓⋫)⫳≱↱(⫏≰2212101⩁⩘⫏≰12210020∖⫏≰1101221⨸⫏≰1120110))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":225385,"operation_count":7,"complexity_ratio":32197.85714285714,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1734,"base":3},"right_expr":{"type":"numeric_atoms","value":3773,"base":3}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2089,"base":3},"right_expr":{"type":"numeric_atoms","value":4218,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1024,"base":3},"right_expr":{"type":"numeric_atoms","value":1146,"base":3}}}}},"used_operators":["g21JL6JxX7","ZvLB05nZmT","IqGBaFP0uj","48vC8HMD2b","tXD093vOjl","gub5Cegaqo","KmoU8R5UQR"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DpFCA1CohY","IWmyXbctLI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1734","layer":4},{"info":"number node, value=3773","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=3773, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2043589","layer":3},{"info":"compute unary expreesion, input=2043589, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-2043717","layer":2},{"info":"number node, value=2089","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=4218, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17820","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1146, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2048","layer":3},{"info":"compute binary expreesion, left_input=17820, right_input=2048, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2043717, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":1},{"info":"compute unary expreesion, input=-471, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨭⩧⫛((⫏≰2101020⫘⫏≰12011202⊓⋫)⫳≱↱(⫏≰2212101⩁⩘⫏≰12210020∖⫏≰1101221⨸⫏≰1120110))=NaN","reverse_text":"NaN=⨭⩧⫛((⫏≰2101020⫘⫏≰12011202⊓⋫)⫳≱↱(⫏≰2212101⩁⩘⫏≰12210020∖⫏≰1101221⨸⫏≰1120110))","cot":[{"info":"⫏≰2101020⫘⫏≰12011202=⫏≰10211211021111","layer":3},{"info":"⫏≰10211211021111⊓⋫=⫏≰-10211211110020","layer":2},{"info":"⫏≰2212101⩁⩘⫏≰12210020=⫏≰220110000","layer":3},{"info":"⫏≰1101221⨸⫏≰1120110=⫏≰2210212","layer":3},{"info":"⫏≰220110000∖⫏≰2210212=⫏≰0","layer":2},{"info":"⫏≰-10211211110020⫳≱↱⫏≰0=⫏≰-122110","layer":1},{"info":"⨭⩧⫛⫏≰-122110=NaN","layer":0}]}
{"id":552,"expression_no_base_symbol":"(⨣⨃⇪($1719$⊋$1270$)≌($1955$⇷$1680$))⩦((⊄⩳↩$1036$)∳⫺($2392$⨒$3330$)⩇∃⫛((≻⋜$2000$)⫸⇳$5413$≦↸$1461$))","expression":"(⨣⨃⇪(⫏≰2100200⊋⫏≰1202001)≌(⫏≰2200102⇷⫏≰2022020))⩦((⊄⩳↩⫏≰1102101)∳⫺(⫏≰10021121⨒⫏≰11120100)⩇∃⫛((≻⋜⫏≰2202002)⫸⇳⫏≰21102111≦↸⫏≰2000010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42523,"operation_count":12,"complexity_ratio":3543.5833333333335,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1719,"base":3},"right_expr":{"type":"numeric_atoms","value":1270,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1955,"base":3},"right_expr":{"type":"numeric_atoms","value":1680,"base":3}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1036,"base":3}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2392,"base":3},"right_expr":{"type":"numeric_atoms","value":3330,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2000,"base":3}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5413,"base":3},"right_expr":{"type":"numeric_atoms","value":1461,"base":3}}}}},"used_operators":["0kmYd0q39Y","AcOhelriW5","lyWz822IDG","W4tP9CfskL","mp7IySMOzn","1aApVXNlOP","AzXXKTstlj","8w2t5hMYqp","y75s1iXyHd","gx7XJ7hdpj","3tj9sqzovi","RygbFNSyEJ"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⫏≰10212002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=1270, 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=4643808","layer":3},{"info":"number node, value=1955","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=1680, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3360","layer":3},{"info":"compute binary expreesion, left_input=4643808, right_input=3360, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3108","layer":3},{"info":"number node, value=2392","layer":4},{"info":"number node, value=3330","layer":4},{"info":"compute binary expreesion, left_input=2392, right_input=3330, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-13980","layer":3},{"info":"compute binary expreesion, left_input=-3108, right_input=-13980, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=2000","layer":4},{"info":"compute unary expreesion, input=2000, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=5413","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=1461, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13067","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13067, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, 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":1},{"info":"compute binary expreesion, left_input=1405, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2810","layer":0}],"base":3,"result_base":3,"text":"(⨣⨃⇪(⫏≰2100200⊋⫏≰1202001)≌(⫏≰2200102⇷⫏≰2022020))⩦((⊄⩳↩⫏≰1102101)∳⫺(⫏≰10021121⨒⫏≰11120100)⩇∃⫛((≻⋜⫏≰2202002)⫸⇳⫏≰21102111≦↸⫏≰2000010))=⫏≰10212002","reverse_text":"⫏≰10212002=(⨣⨃⇪(⫏≰2100200⊋⫏≰1202001)≌(⫏≰2200102⇷⫏≰2022020))⩦((⊄⩳↩⫏≰1102101)∳⫺(⫏≰10021121⨒⫏≰11120100)⩇∃⫛((≻⋜⫏≰2202002)⫸⇳⫏≰21102111≦↸⫏≰2000010))","cot":[{"info":"⫏≰2100200⊋⫏≰1202001=⫏≰22201221002220","layer":3},{"info":"⫏≰2200102⇷⫏≰2022020=⫏≰11121110","layer":3},{"info":"⫏≰22201221002220≌⫏≰11121110=NaN","layer":2},{"info":"⨣⨃⇪NaN=⫏≰1221001","layer":1},{"info":"⊄⩳↩⫏≰1102101=⫏≰-11021010","layer":3},{"info":"⫏≰10021121⨒⫏≰11120100=⫏≰-201011210","layer":3},{"info":"⫏≰-11021010∳⫺⫏≰-201011210=⫏≰-100122","layer":2},{"info":"≻⋜⫏≰2202002=NaN","layer":3},{"info":"⫏≰21102111≦↸⫏≰2000010=⫏≰-122220222","layer":3},{"info":"NaN⫸⇳⫏≰-122220222=NaN","layer":2},{"info":"⫏≰-100122⩇∃⫛NaN=NaN","layer":1},{"info":"⫏≰1221001⩦NaN=⫏≰10212002","layer":0}]}
{"id":553,"expression_no_base_symbol":"⊈(⊖∈($2805$∕⩚$2199$))⨂≜($3034$≭$1519$∽$5854$⩘$2048$)","expression":"⊈(⊖∈(⫏≰10211220∕⩚⫏≰10000110))⨂≜(⫏≰11011101≭⫏≰2002021∽⫏≰22000211⩘⫏≰2210212)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":158299252,"operation_count":7,"complexity_ratio":22614178.85714286,"tree":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2805,"base":3},"right_expr":{"type":"numeric_atoms","value":2199,"base":3}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3034,"base":3},"right_expr":{"type":"numeric_atoms","value":1519,"base":3}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5854,"base":3},"right_expr":{"type":"numeric_atoms","value":2048,"base":3}}}}},"used_operators":["RHru8klgy8","k1SHOSEABc","YFxL8Sc2Zy","z9ffQ9n5Zr","y4ImoPnbV5","rxpJgHHUmx","cHh1gJQ2o6"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","NTOWxs364D","QMFrweE19q","AHs5Up7iyr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2805","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=2199, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2808","layer":3},{"info":"compute unary expreesion, input=-2808, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=158287826","layer":2},{"info":"number node, value=3034","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=1519, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5854","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=5854, right_input=2048, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=158287826, right_input=nan, 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 = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊈(⊖∈(⫏≰10211220∕⩚⫏≰10000110))⨂≜(⫏≰11011101≭⫏≰2002021∽⫏≰22000211⩘⫏≰2210212)=NaN","reverse_text":"NaN=⊈(⊖∈(⫏≰10211220∕⩚⫏≰10000110))⨂≜(⫏≰11011101≭⫏≰2002021∽⫏≰22000211⩘⫏≰2210212)","cot":[{"info":"⫏≰10211220∕⩚⫏≰10000110=⫏≰-10212000","layer":3},{"info":"⊖∈⫏≰-10212000=⫏≰102000211212002002","layer":2},{"info":"⫏≰11011101≭⫏≰2002021=NaN","layer":3},{"info":"⫏≰22000211⩘⫏≰2210212=⫏≰12221","layer":3},{"info":"NaN∽⫏≰12221=NaN","layer":2},{"info":"⫏≰102000211212002002⨂≜NaN=NaN","layer":1},{"info":"⊈NaN=NaN","layer":0}]}
{"id":554,"expression_no_base_symbol":"(⪹($6838$∲⫓$1894$))⇻⋧≁($7397$⊋$1414$∖(∜⨇$4902$))⪚($2862$∠⫱$4085$⊭↱$3276$⫞⩸⩒$5072$)∌(($2584$*$2738$)⩍⋽⫝̸($1759$↙$3425$))","expression":"(⪹(⫏≰100101021∲⫓⫏≰2121011))⇻⋧≁(⫏≰101010222⊋⫏≰1221101∖(∜⨇⫏≰20201120))⪚(⫏≰10221000∠⫱⫏≰12121022⊭↱⫏≰11111100⫞⩸⩒⫏≰20221212)∌((⫏≰10112201*⫏≰10202102)⩍⋽⫝̸(⫏≰2102011↙⫏≰11200212))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11687,"operation_count":14,"complexity_ratio":834.7857142857143,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6838,"base":3},"right_expr":{"type":"numeric_atoms","value":1894,"base":3}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7397,"base":3},"right_expr":{"type":"numeric_atoms","value":1414,"base":3}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":4902,"base":3}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2862,"base":3},"right_expr":{"type":"numeric_atoms","value":4085,"base":3}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3276,"base":3},"right_expr":{"type":"numeric_atoms","value":5072,"base":3}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2584,"base":3},"right_expr":{"type":"numeric_atoms","value":2738,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1759,"base":3},"right_expr":{"type":"numeric_atoms","value":3425,"base":3}}}}},"used_operators":["HrjLwUk87U","jCPkEVoL5K","USyYr0JgAa","i8ToyICDmI","tXD093vOjl","W4tP9CfskL","uFPyJr306J","8cLx32lpNA","COABgblf1C","QvoQhV0rrE","XGcMNugi78","BiWNJpBvwn","9HNa5Wba9A","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰1202221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6838","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=6838, right_input=1894, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=180","layer":2},{"info":"number node, value=7397","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=7397, right_input=1414, 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=64242696","layer":3},{"info":"number node, value=4902","layer":4},{"info":"compute unary expreesion, input=4902, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=64242696, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=180, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-1085","layer":1},{"info":"number node, value=2862","layer":4},{"info":"number node, value=4085","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=4085, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3276","layer":4},{"info":"number node, value=5072","layer":4},{"info":"compute binary expreesion, left_input=3276, right_input=5072, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5072","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=5072, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7681","layer":2},{"info":"number node, value=2584","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=2738, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7074992","layer":3},{"info":"number node, value=1759","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=3425, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10275","layer":3},{"info":"compute binary expreesion, left_input=7074992, right_input=-10275, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7084794","layer":2},{"info":"compute binary expreesion, left_input=7681, right_input=7084794, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-7084794","layer":1},{"info":"compute binary expreesion, left_input=-1085, right_input=-7084794, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1294","layer":0}],"base":3,"result_base":3,"text":"(⪹(⫏≰100101021∲⫓⫏≰2121011))⇻⋧≁(⫏≰101010222⊋⫏≰1221101∖(∜⨇⫏≰20201120))⪚(⫏≰10221000∠⫱⫏≰12121022⊭↱⫏≰11111100⫞⩸⩒⫏≰20221212)∌((⫏≰10112201*⫏≰10202102)⩍⋽⫝̸(⫏≰2102011↙⫏≰11200212))=⫏≰1202221","reverse_text":"⫏≰1202221=(⪹(⫏≰100101021∲⫓⫏≰2121011))⇻⋧≁(⫏≰101010222⊋⫏≰1221101∖(∜⨇⫏≰20201120))⪚(⫏≰10221000∠⫱⫏≰12121022⊭↱⫏≰11111100⫞⩸⩒⫏≰20221212)∌((⫏≰10112201*⫏≰10202102)⩍⋽⫝̸(⫏≰2102011↙⫏≰11200212))","cot":[{"info":"⫏≰100101021∲⫓⫏≰2121011=⫏≰0","layer":3},{"info":"⪹⫏≰0=⫏≰20200","layer":2},{"info":"⫏≰101010222⊋⫏≰1221101=⫏≰11110212212102010","layer":3},{"info":"∜⨇⫏≰20201120=NaN","layer":3},{"info":"⫏≰11110212212102010∖NaN=⫏≰0","layer":2},{"info":"⫏≰20200⇻⋧≁⫏≰0=⫏≰-1111012","layer":1},{"info":"⫏≰10221000∠⫱⫏≰12121022=⫏≰1200201","layer":3},{"info":"⫏≰11111100⫞⩸⩒⫏≰20221212=⫏≰20221212","layer":3},{"info":"⫏≰1200201⊭↱⫏≰20221212=⫏≰101112111","layer":2},{"info":"⫏≰10112201*⫏≰10202102=⫏≰111022110001202","layer":3},{"info":"⫏≰2102011↙⫏≰11200212=⫏≰-112002120","layer":3},{"info":"⫏≰111022110001202⩍⋽⫝̸⫏≰-112002120=⫏≰111022221111210","layer":2},{"info":"⫏≰101112111∌⫏≰111022221111210=⫏≰-111022221111210","layer":1},{"info":"⫏≰-1111012⪚⫏≰-111022221111210=⫏≰1202221","layer":0}]}
{"id":555,"expression_no_base_symbol":"(((⇖$3597$)⋷$2175$⫣⪄⊒$5967$)≃(≑⋹($1230$≀⫉$6782$)))∣((↽≂$9093$⪢$2043$)⇡)","expression":"(((⇖⫏≰11221020)⋷⫏≰2222120⫣⪄⊒⫏≰22012000)≃(≑⋹(⫏≰1200120≀⫉⫏≰100022012)))∣((↽≂⫏≰110110210⪢⫏≰2210200)⇡)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3136,"operation_count":10,"complexity_ratio":313.6,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3597,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2175,"base":3},"right_expr":{"type":"numeric_atoms","value":5967,"base":3}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1230,"base":3},"right_expr":{"type":"numeric_atoms","value":6782,"base":3}}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":9093,"base":3},"right_expr":{"type":"numeric_atoms","value":2043,"base":3}}}}},"used_operators":["PPChnnnBFF","YbVcJGFEVW","23Mk6UjR3U","tfWHHpNKUN","RabNbG55vr","6B9nyZLogK","oZj3VtZNQx","UqFzSgLMvQ","u6S6b8DprG","dWAJyo7jo9"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"⫏≰211222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3597","layer":4},{"info":"compute unary expreesion, input=3597, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=2175","layer":4},{"info":"number node, value=5967","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=5967, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-31964","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-31964, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":2},{"info":"number node, value=1230","layer":4},{"info":"number node, value=6782","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=6782, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=1650, 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=620","layer":1},{"info":"number node, value=9093","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=9093, right_input=2043, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=620, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=620","layer":0}],"base":3,"result_base":3,"text":"(((⇖⫏≰11221020)⋷⫏≰2222120⫣⪄⊒⫏≰22012000)≃(≑⋹(⫏≰1200120≀⫉⫏≰100022012)))∣((↽≂⫏≰110110210⪢⫏≰2210200)⇡)=⫏≰211222","reverse_text":"⫏≰211222=(((⇖⫏≰11221020)⋷⫏≰2222120⫣⪄⊒⫏≰22012000)≃(≑⋹(⫏≰1200120≀⫉⫏≰100022012)))∣((↽≂⫏≰110110210⪢⫏≰2210200)⇡)","cot":[{"info":"⇖⫏≰11221020=⫏≰12221","layer":3},{"info":"⫏≰2222120⫣⪄⊒⫏≰22012000=⫏≰-1121211212","layer":3},{"info":"⫏≰12221⋷⫏≰-1121211212=⫏≰-102212","layer":2},{"info":"⫏≰1200120≀⫉⫏≰100022012=⫏≰10212112","layer":3},{"info":"≑⋹⫏≰10212112=⫏≰2021010","layer":2},{"info":"⫏≰-102212≃⫏≰2021010=⫏≰211222","layer":1},{"info":"⫏≰110110210⪢⫏≰2210200=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN⇡=NaN","layer":1},{"info":"⫏≰211222∣NaN=⫏≰211222","layer":0}]}
{"id":556,"expression_no_base_symbol":"(($1934$↛⩡⫤)⨑≵⋬$1914$⇣⩺⋵$2974$)↳∿⪆($1633$⨭⪣$4909$∝($3440$⨶))⇷(($1370$⪑⩈)∼$1519$⩌⋺$1053$⋾⨃∁($1071$⨳⩥⨓$4459$⫡⨏($2097$⫲)))","expression":"((⫏≰2122122↛⩡⫤)⨑≵⋬⫏≰2121220⇣⩺⋵⫏≰11002011)↳∿⪆(⫏≰2020111⨭⪣⫏≰20201211∝(⫏≰11201102⨶))⇷((⫏≰1212202⪑⩈)∼⫏≰2002021⩌⋺⫏≰1110000⋾⨃∁(⫏≰1110200⨳⩥⨓⫏≰20010011⫡⨏(⫏≰2212200⫲)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":30148,"operation_count":15,"complexity_ratio":2009.8666666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1934,"base":3}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1914,"base":3},"right_expr":{"type":"numeric_atoms","value":2974,"base":3}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1633,"base":3},"right_expr":{"type":"numeric_atoms","value":4909,"base":3}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":3440,"base":3}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1370,"base":3}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1519,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1071,"base":3},"right_expr":{"type":"numeric_atoms","value":4459,"base":3}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":2097,"base":3}}}}},"used_operators":["mp7IySMOzn","Cw4SuJJGHO","XnXgA4xnOs","FU0Cs4j7VP","F4yD0voBRQ","cTDWOvIxvz","kn8WO9XteQ","rFxw8gIMmB","212REbPD9h","DyGG3AbaNP","C6VvDP6HwP","g7Hmc5v1ko","QMFrweE19q","nCS4ZIUYfx","9xnGDUPbC6"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","7j4O788W3g","W4YGzv6Whe","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","f6k1SAg4EE","Qy55tPpLXF","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP"],"result":"Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-288123","layer":3},{"info":"number node, value=1914","layer":4},{"info":"number node, value=2974","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=2974, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-288123, right_input=-260, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1435864","layer":2},{"info":"number node, value=1633","layer":4},{"info":"number node, value=4909","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=4909, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=354","layer":3},{"info":"number node, value=3440","layer":4},{"info":"compute unary expreesion, input=3440, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=5134","layer":3},{"info":"compute binary expreesion, left_input=354, right_input=5134, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=359","layer":2},{"info":"compute binary expreesion, left_input=-1435864, right_input=359, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=11180","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1053, 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=-2693","layer":3},{"info":"compute binary expreesion, left_input=11180, right_input=-2693, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1071","layer":4},{"info":"number node, value=4459","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=4459, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3388","layer":3},{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1824","layer":3},{"info":"compute binary expreesion, left_input=3388, right_input=1824, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21371","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21371, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=inf","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2122122↛⩡⫤)⨑≵⋬⫏≰2121220⇣⩺⋵⫏≰11002011)↳∿⪆(⫏≰2020111⨭⪣⫏≰20201211∝(⫏≰11201102⨶))⇷((⫏≰1212202⪑⩈)∼⫏≰2002021⩌⋺⫏≰1110000⋾⨃∁(⫏≰1110200⨳⩥⨓⫏≰20010011⫡⨏(⫏≰2212200⫲)))=Inf","reverse_text":"Inf=((⫏≰2122122↛⩡⫤)⨑≵⋬⫏≰2121220⇣⩺⋵⫏≰11002011)↳∿⪆(⫏≰2020111⨭⪣⫏≰20201211∝(⫏≰11201102⨶))⇷((⫏≰1212202⪑⩈)∼⫏≰2002021⩌⋺⫏≰1110000⋾⨃∁(⫏≰1110200⨳⩥⨓⫏≰20010011⫡⨏(⫏≰2212200⫲)))","cot":[{"info":"⫏≰2122122↛⩡⫤=⫏≰-112122020020","layer":3},{"info":"⫏≰2121220⇣⩺⋵⫏≰11002011=⫏≰-100122","layer":3},{"info":"⫏≰-112122020020⨑≵⋬⫏≰-100122=⫏≰-2200221122011","layer":2},{"info":"⫏≰2020111⨭⪣⫏≰20201211=⫏≰111010","layer":3},{"info":"⫏≰11201102⨶=⫏≰21001011","layer":3},{"info":"⫏≰111010∝⫏≰21001011=⫏≰111022","layer":2},{"info":"⫏≰-2200221122011↳∿⪆⫏≰111022=NaN","layer":1},{"info":"⫏≰1212202⪑⩈=⫏≰120100002","layer":3},{"info":"⫏≰2002021⩌⋺⫏≰1110000=⫏≰-10200202","layer":3},{"info":"⫏≰120100002∼⫏≰-10200202=NaN","layer":2},{"info":"⫏≰1110200⨳⩥⨓⫏≰20010011=⫏≰11122111","layer":3},{"info":"⫏≰2212200⫲=⫏≰2111120","layer":3},{"info":"⫏≰11122111⫡⨏⫏≰2111120=⫏≰1002022112","layer":2},{"info":"NaN⋾⨃∁⫏≰1002022112=Inf","layer":1},{"info":"NaN⇷Inf=Inf","layer":0}]}
{"id":557,"expression_no_base_symbol":"(⨙⪌(($7116$≥⨤⩑$1587$)≎⊠⪸$5203$⪥$3739$))⫗⊷⫓(($1851$⩹$2994$)⊉↱≁($3868$≝⊰⇂)%(⇜($5812$⋅⇍$1122$)))","expression":"(⨙⪌((⫏≰100202120≥⨤⩑⫏≰2011210)≎⊠⪸⫏≰21010201⪥⫏≰12010111))⫗⊷⫓((⫏≰2112120⩹⫏≰11002220)⊉↱≁(⫏≰12022021≝⊰⇂)%(⇜(⫏≰21222021⋅⇍⫏≰1112120)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":136628,"operation_count":11,"complexity_ratio":12420.727272727272,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":7116,"base":3},"right_expr":{"type":"numeric_atoms","value":1587,"base":3}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5203,"base":3},"right_expr":{"type":"numeric_atoms","value":3739,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1851,"base":3},"right_expr":{"type":"numeric_atoms","value":2994,"base":3}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":3868,"base":3}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5812,"base":3},"right_expr":{"type":"numeric_atoms","value":1122,"base":3}}}}},"used_operators":["zashukvMKz","vEGLkm4Z2k","bJkvcejdHO","gJLn6v0xnP","QbnwKVWMIQ","k8jYdgA6NY","w2P8NbNXyL","2Wsdkap16l","htSmYCowi5","lFBm8KRb8F","AdZkA7nFnk"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","DlLNRPXxWL","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7116","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=7116, right_input=1587, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=5203","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=3739, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=25464","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=25464, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=319133","layer":2},{"info":"compute unary expreesion, input=319133, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"number node, value=1851","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=2994, 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=2992","layer":3},{"info":"number node, value=3868","layer":4},{"info":"compute unary expreesion, input=3868, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2992, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=29868","layer":2},{"info":"number node, value=5812","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=5812, right_input=1122, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute binary expreesion, left_input=29868, right_input=232, op_id = k8jYdgA6NY binary_op_definition= 'None', output=172","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=172, 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":3,"result_base":3,"text":"(⨙⪌((⫏≰100202120≥⨤⩑⫏≰2011210)≎⊠⪸⫏≰21010201⪥⫏≰12010111))⫗⊷⫓((⫏≰2112120⩹⫏≰11002220)⊉↱≁(⫏≰12022021≝⊰⇂)%(⇜(⫏≰21222021⋅⇍⫏≰1112120)))=⫏≰-11222","reverse_text":"⫏≰-11222=(⨙⪌((⫏≰100202120≥⨤⩑⫏≰2011210)≎⊠⪸⫏≰21010201⪥⫏≰12010111))⫗⊷⫓((⫏≰2112120⩹⫏≰11002220)⊉↱≁(⫏≰12022021≝⊰⇂)%(⇜(⫏≰21222021⋅⇍⫏≰1112120)))","cot":[{"info":"⫏≰100202120≥⨤⩑⫏≰2011210=⫏≰1200201","layer":3},{"info":"⫏≰21010201⪥⫏≰12010111=⫏≰1021221010","layer":3},{"info":"⫏≰1200201≎⊠⪸⫏≰1021221010=⫏≰121012202202","layer":2},{"info":"⨙⪌⫏≰121012202202=⫏≰1012011","layer":1},{"info":"⫏≰2112120⩹⫏≰11002220=⫏≰11002211","layer":3},{"info":"⫏≰12022021≝⊰⇂=⫏≰0","layer":3},{"info":"⫏≰11002211⊉↱≁⫏≰0=⫏≰1111222020","layer":2},{"info":"⫏≰21222021⋅⇍⫏≰1112120=⫏≰-211","layer":3},{"info":"⇜⫏≰-211=⫏≰22121","layer":2},{"info":"⫏≰1111222020%⫏≰22121=⫏≰20101","layer":1},{"info":"⫏≰1012011⫗⊷⫓⫏≰20101=⫏≰-11222","layer":0}]}
{"id":558,"expression_no_base_symbol":"(((∨∊⋏$1179$)⩁⩘$6032$⋕⪉⪜$1820$)⨜⨶(($3757$⫥∨⫟$2017$)∳⫺($1250$⊝⪿⪼$1035$)))≁(((∜⨇$1500$)⩵∡$4533$∝$1010$)↳∿⪆(⇉-⫰(⨛$3089$)))","expression":"(((∨∊⋏⫏≰1121200)⩁⩘⫏≰22021102⋕⪉⪜⫏≰2111102)⨜⨶((⫏≰12011011⫥∨⫟⫏≰2202201)∳⫺(⫏≰1201022⊝⪿⪼⫏≰1102100)))≁(((∜⨇⫏≰2001120)⩵∡⫏≰20012220∝⫏≰1101102)↳∿⪆(⇉-⫰(⨛⫏≰11020102)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2895,"operation_count":14,"complexity_ratio":206.78571428571428,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1179,"base":3}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6032,"base":3},"right_expr":{"type":"numeric_atoms","value":1820,"base":3}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3757,"base":3},"right_expr":{"type":"numeric_atoms","value":2017,"base":3}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1250,"base":3},"right_expr":{"type":"numeric_atoms","value":1035,"base":3}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1500,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4533,"base":3},"right_expr":{"type":"numeric_atoms","value":1010,"base":3}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":3089,"base":3}}}}},"used_operators":["8N2wDY1A35","HiPekx5b7W","gub5Cegaqo","R5aXW34M0v","z6LnFrNh4i","AzXXKTstlj","KYD54nUTWz","3Oe9XWJUTD","Cw4SuJJGHO","Y7wcNGrDQJ","uFPyJr306J","cTDWOvIxvz","IGFM8TAlm9","CoMdbyAt7R"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eH2TOUuTDT","eewbuw0ToL","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=15095","layer":3},{"info":"number node, value=6032","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=6032, right_input=1820, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=15095, right_input=2802, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=12156","layer":2},{"info":"number node, value=3757","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=3757, right_input=2017, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1035, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=24024","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=24024, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=12156, right_input=-260, 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=120783","layer":1},{"info":"number node, value=1500","layer":4},{"info":"compute unary expreesion, input=1500, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=4533","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=4533, right_input=1010, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4538","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4538, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=3089","layer":4},{"info":"compute unary expreesion, input=3089, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=120783, 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":3,"result_base":3,"text":"(((∨∊⋏⫏≰1121200)⩁⩘⫏≰22021102⋕⪉⪜⫏≰2111102)⨜⨶((⫏≰12011011⫥∨⫟⫏≰2202201)∳⫺(⫏≰1201022⊝⪿⪼⫏≰1102100)))≁(((∜⨇⫏≰2001120)⩵∡⫏≰20012220∝⫏≰1101102)↳∿⪆(⇉-⫰(⨛⫏≰11020102)))=NaN","reverse_text":"NaN=(((∨∊⋏⫏≰1121200)⩁⩘⫏≰22021102⋕⪉⪜⫏≰2111102)⨜⨶((⫏≰12011011⫥∨⫟⫏≰2202201)∳⫺(⫏≰1201022⊝⪿⪼⫏≰1102100)))≁(((∜⨇⫏≰2001120)⩵∡⫏≰20012220∝⫏≰1101102)↳∿⪆(⇉-⫰(⨛⫏≰11020102)))","cot":[{"info":"∨∊⋏⫏≰1121200=⫏≰202201002","layer":3},{"info":"⫏≰22021102⋕⪉⪜⫏≰2111102=⫏≰10211210","layer":3},{"info":"⫏≰202201002⩁⩘⫏≰10211210=⫏≰121200020","layer":2},{"info":"⫏≰12011011⫥∨⫟⫏≰2202201=NaN","layer":3},{"info":"⫏≰1201022⊝⪿⪼⫏≰1102100=⫏≰1012221210","layer":3},{"info":"NaN∳⫺⫏≰1012221210=⫏≰-100122","layer":2},{"info":"⫏≰121200020⨜⨶⫏≰-100122=⫏≰20010200110","layer":1},{"info":"∜⨇⫏≰2001120=NaN","layer":3},{"info":"⫏≰20012220∝⫏≰1101102=⫏≰20020002","layer":3},{"info":"NaN⩵∡⫏≰20020002=NaN","layer":2},{"info":"⨛⫏≰11020102=NaN","layer":3},{"info":"⇉-⫰NaN=NaN","layer":2},{"info":"NaN↳∿⪆NaN=NaN","layer":1},{"info":"⫏≰20010200110≁NaN=NaN","layer":0}]}
{"id":559,"expression_no_base_symbol":"($4756$∙∹∝$1463$⇼⇔∾$2442$⩣⫁∢$2712$)≹⇙⪍($4296$↳∿⪆$4826$∽$2601$⫲≸⪮$1033$)⋭≵($2167$↳∿⪆$2012$⊉≛↸$2073$≓∲$3139$)↞⋁($5186$⊲⩕⊾$4577$⊉≛↸$5888$⋭≵$2489$)","expression":"(⫏≰20112011∙∹∝⫏≰2000012⇼⇔∾⫏≰10100110⩣⫁∢⫏≰10201110)≹⇙⪍(⫏≰12220010↳∿⪆⫏≰20121202∽⫏≰10120100⫲≸⪮⫏≰1102021)⋭≵(⫏≰2222021↳∿⪆⫏≰2202112⊉≛↸⫏≰2211210≓∲⫏≰11022021)↞⋁(⫏≰21010002⊲⩕⊾⫏≰20021112⊉≛↸⫏≰22002002⋭≵⫏≰10102012)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7851,"operation_count":15,"complexity_ratio":523.4,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4756,"base":3},"right_expr":{"type":"numeric_atoms","value":1463,"base":3}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2442,"base":3},"right_expr":{"type":"numeric_atoms","value":2712,"base":3}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4296,"base":3},"right_expr":{"type":"numeric_atoms","value":4826,"base":3}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2601,"base":3},"right_expr":{"type":"numeric_atoms","value":1033,"base":3}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2167,"base":3},"right_expr":{"type":"numeric_atoms","value":2012,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2073,"base":3},"right_expr":{"type":"numeric_atoms","value":3139,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5186,"base":3},"right_expr":{"type":"numeric_atoms","value":4577,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5888,"base":3},"right_expr":{"type":"numeric_atoms","value":2489,"base":3}}}}},"used_operators":["jBncVCNhdl","AHs5Up7iyr","tifHPKVTfV","HmxsFra2vL","JDUIKTTSIa","y4ImoPnbV5","Cw4SuJJGHO","P3lXMJvFrc","RqrPlJkxDo","DZ8iAZOCBD","s1XTVnmDOJ","DmTXOeWf9t"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4756","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=4756, right_input=1463, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2442","layer":4},{"info":"number node, value=2712","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=2712, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4723","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4723, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4723","layer":2},{"info":"number node, value=4296","layer":4},{"info":"number node, value=4826","layer":4},{"info":"compute binary expreesion, left_input=4296, right_input=4826, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2601","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=1033, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2601","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2601, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4723, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2167","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=2012, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2073","layer":4},{"info":"number node, value=3139","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=3139, 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=21513","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=21513, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=5186","layer":4},{"info":"number node, value=4577","layer":4},{"info":"compute binary expreesion, left_input=5186, right_input=4577, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-125376","layer":3},{"info":"number node, value=5888","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=5888, right_input=2489, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-125376, right_input=67, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-67, 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=nan, right_input=nan, 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":3,"result_base":3,"text":"(⫏≰20112011∙∹∝⫏≰2000012⇼⇔∾⫏≰10100110⩣⫁∢⫏≰10201110)≹⇙⪍(⫏≰12220010↳∿⪆⫏≰20121202∽⫏≰10120100⫲≸⪮⫏≰1102021)⋭≵(⫏≰2222021↳∿⪆⫏≰2202112⊉≛↸⫏≰2211210≓∲⫏≰11022021)↞⋁(⫏≰21010002⊲⩕⊾⫏≰20021112⊉≛↸⫏≰22002002⋭≵⫏≰10102012)=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰20112011∙∹∝⫏≰2000012⇼⇔∾⫏≰10100110⩣⫁∢⫏≰10201110)≹⇙⪍(⫏≰12220010↳∿⪆⫏≰20121202∽⫏≰10120100⫲≸⪮⫏≰1102021)⋭≵(⫏≰2222021↳∿⪆⫏≰2202112⊉≛↸⫏≰2211210≓∲⫏≰11022021)↞⋁(⫏≰21010002⊲⩕⊾⫏≰20021112⊉≛↸⫏≰22002002⋭≵⫏≰10102012)","cot":[{"info":"⫏≰20112011∙∹∝⫏≰2000012=⫏≰0","layer":3},{"info":"⫏≰10100110⩣⫁∢⫏≰10201110=⫏≰-20110221","layer":3},{"info":"⫏≰0⇼⇔∾⫏≰-20110221=⫏≰-20110221","layer":2},{"info":"⫏≰12220010↳∿⪆⫏≰20121202=NaN","layer":3},{"info":"⫏≰10120100⫲≸⪮⫏≰1102021=⫏≰10120100","layer":3},{"info":"NaN∽⫏≰10120100=NaN","layer":2},{"info":"⫏≰-20110221≹⇙⪍NaN=NaN","layer":1},{"info":"⫏≰2222021↳∿⪆⫏≰2202112=NaN","layer":3},{"info":"⫏≰2211210≓∲⫏≰11022021=⫏≰1002111210","layer":3},{"info":"NaN⊉≛↸⫏≰1002111210=NaN","layer":2},{"info":"⫏≰21010002⊲⩕⊾⫏≰20021112=⫏≰-20100222120","layer":3},{"info":"⫏≰22002002⋭≵⫏≰10102012=⫏≰2111","layer":3},{"info":"⫏≰-20100222120⊉≛↸⫏≰2111=⫏≰-2111","layer":2},{"info":"NaN↞⋁⫏≰-2111=NaN","layer":1},{"info":"NaN⋭≵NaN=⫏≰2111","layer":0}]}
{"id":560,"expression_no_base_symbol":"(⇨(⩦⩻⨪$1309$⊴$1217$))⫔⩽⩺(≱⇩⩕$8104$⇻⋧≁$2043$)∑⇟⊟($3540$⪍↜⋙$3598$∝$7072$⨚⇆$3188$)","expression":"(⇨(⩦⩻⨪⫏≰1210111⊴⫏≰1200002))⫔⩽⩺(≱⇩⩕⫏≰102010011⇻⋧≁⫏≰2210200)∑⇟⊟(⫏≰11212010⪍↜⋙⫏≰11221021∝⫏≰100200221⨚⇆⫏≰11101002)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59239,"operation_count":10,"complexity_ratio":5923.9,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1309,"base":3},"right_expr":{"type":"numeric_atoms","value":1217,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":8104,"base":3},"right_expr":{"type":"numeric_atoms","value":2043,"base":3}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3540,"base":3},"right_expr":{"type":"numeric_atoms","value":3598,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7072,"base":3},"right_expr":{"type":"numeric_atoms","value":3188,"base":3}}}}},"used_operators":["i9eR4S00cU","G9tJMlZ94a","2td37pGCOC","Nsiff2A1zJ","U7g4x0WXJJ","3DZMoQKiUl","jCPkEVoL5K","cTDWOvIxvz","L05ObWFQCd","lwHaAYXP2r"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=1217, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":1},{"info":"number node, value=8104","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=8104, right_input=2043, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=3739","layer":2},{"info":"number node, value=3540","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=3598, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-116","layer":3},{"info":"number node, value=7072","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=7072, right_input=3188, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3739, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇨(⩦⩻⨪⫏≰1210111⊴⫏≰1200002))⫔⩽⩺(≱⇩⩕⫏≰102010011⇻⋧≁⫏≰2210200)∑⇟⊟(⫏≰11212010⪍↜⋙⫏≰11221021∝⫏≰100200221⨚⇆⫏≰11101002)=NaN","reverse_text":"NaN=(⇨(⩦⩻⨪⫏≰1210111⊴⫏≰1200002))⫔⩽⩺(≱⇩⩕⫏≰102010011⇻⋧≁⫏≰2210200)∑⇟⊟(⫏≰11212010⪍↜⋙⫏≰11221021∝⫏≰100200221⨚⇆⫏≰11101002)","cot":[{"info":"⫏≰1210111⊴⫏≰1200002=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⇨NaN=NaN","layer":1},{"info":"⫏≰102010011⇻⋧≁⫏≰2210200=⫏≰-121120","layer":3},{"info":"≱⇩⩕⫏≰-121120=⫏≰12010111","layer":2},{"info":"⫏≰11212010⪍↜⋙⫏≰11221021=⫏≰-11022","layer":3},{"info":"⫏≰100200221⨚⇆⫏≰11101002=NaN","layer":3},{"info":"⫏≰-11022∝NaN=NaN","layer":2},{"info":"⫏≰12010111∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⫔⩽⩺NaN=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"(($2013$⫸⇳$1297$)∌↝($7940$⇴$2149$)⇼⇔∾(⇘$1173$)∥⊢⊲($1330$⨫⇇↔$1709$))⩺⪪($4229$⨐$3068$⪛($2367$⨎⋸⪻)⫚↹⊑$2107$≁$5330$≝⊿$2394$⨂≜$1952$)","expression":"((⫏≰2202120⫸⇳⫏≰1210001)∌↝(⫏≰101220002⇴⫏≰2221121)⇼⇔∾(⇘⫏≰1121110)∥⊢⊲(⫏≰1211021⨫⇇↔⫏≰2100022))⩺⪪(⫏≰12210122⨐⫏≰11012122⪛(⫏≰10020200⨎⋸⪻)⫚↹⊑⫏≰2220001≁⫏≰21022102≝⊿⫏≰10021200⨂≜⫏≰2200022)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7740,"operation_count":15,"complexity_ratio":516.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2013,"base":3},"right_expr":{"type":"numeric_atoms","value":1297,"base":3}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":7940,"base":3},"right_expr":{"type":"numeric_atoms","value":2149,"base":3}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1173,"base":3}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1330,"base":3},"right_expr":{"type":"numeric_atoms","value":1709,"base":3}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4229,"base":3},"right_expr":{"type":"numeric_atoms","value":3068,"base":3}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":2367,"base":3}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2107,"base":3},"right_expr":{"type":"numeric_atoms","value":5330,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2394,"base":3},"right_expr":{"type":"numeric_atoms","value":1952,"base":3}}}}},"used_operators":["uvdQJvN4PV","tifHPKVTfV","9Isq31Ruls","gx7XJ7hdpj","4JB6nKBMSY","v1UQAVDJRr","MGuIdZPyUC","LXhwmt4mBO","dfKe02y8D2","uFcxV4UQCh","Noe24qw2ks","Dk5vyLCiGd","OKKcZfAt5B","8N2wDY1A35","k1SHOSEABc"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","IWmyXbctLI","12rbrZMWeM","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⫏≰-11200010102011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2013","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=1297, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=7940","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=7940, right_input=2149, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=51552","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=51552, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-154656","layer":2},{"info":"number node, value=1173","layer":4},{"info":"compute unary expreesion, input=1173, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=64762","layer":3},{"info":"number node, value=1330","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=1709, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=64762, right_input=-527, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-154656, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=154656","layer":1},{"info":"number node, value=4229","layer":4},{"info":"number node, value=3068","layer":4},{"info":"compute binary expreesion, left_input=4229, right_input=3068, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8458","layer":3},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=5050","layer":3},{"info":"compute binary expreesion, left_input=-8458, right_input=5050, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1642","layer":2},{"info":"number node, value=2107","layer":4},{"info":"number node, value=5330","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=5330, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=114719","layer":3},{"info":"number node, value=2394","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=1952, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=114719, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1642, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=154656, right_input=-447, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-2482546","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2202120⫸⇳⫏≰1210001)∌↝(⫏≰101220002⇴⫏≰2221121)⇼⇔∾(⇘⫏≰1121110)∥⊢⊲(⫏≰1211021⨫⇇↔⫏≰2100022))⩺⪪(⫏≰12210122⨐⫏≰11012122⪛(⫏≰10020200⨎⋸⪻)⫚↹⊑⫏≰2220001≁⫏≰21022102≝⊿⫏≰10021200⨂≜⫏≰2200022)=⫏≰-11200010102011","reverse_text":"⫏≰-11200010102011=((⫏≰2202120⫸⇳⫏≰1210001)∌↝(⫏≰101220002⇴⫏≰2221121)⇼⇔∾(⇘⫏≰1121110)∥⊢⊲(⫏≰1211021⨫⇇↔⫏≰2100022))⩺⪪(⫏≰12210122⨐⫏≰11012122⪛(⫏≰10020200⨎⋸⪻)⫚↹⊑⫏≰2220001≁⫏≰21022102≝⊿⫏≰10021200⨂≜⫏≰2200022)","cot":[{"info":"⫏≰2202120⫸⇳⫏≰1210001=⫏≰0","layer":3},{"info":"⫏≰101220002⇴⫏≰2221121=⫏≰2121201100","layer":3},{"info":"⫏≰0∌↝⫏≰2121201100=⫏≰-21212011000","layer":2},{"info":"⇘⫏≰1121110=⫏≰10021211121","layer":3},{"info":"⫏≰1211021⨫⇇↔⫏≰2100022=⫏≰-201112","layer":3},{"info":"⫏≰10021211121∥⊢⊲⫏≰-201112=⫏≰0","layer":2},{"info":"⫏≰-21212011000⇼⇔∾⫏≰0=⫏≰21212011000","layer":1},{"info":"⫏≰12210122⨐⫏≰11012122=⫏≰-102121021","layer":3},{"info":"⫏≰10020200⨎⋸⪻=⫏≰20221001","layer":3},{"info":"⫏≰-102121021⪛⫏≰20221001=⫏≰2020211","layer":2},{"info":"⫏≰2220001≁⫏≰21022102=⫏≰12211100212","layer":3},{"info":"⫏≰10021200⨂≜⫏≰2200022=NaN","layer":3},{"info":"⫏≰12211100212≝⊿NaN=NaN","layer":2},{"info":"⫏≰2020211⫚↹⊑NaN=⫏≰-121120","layer":1},{"info":"⫏≰21212011000⩺⪪⫏≰-121120=⫏≰-11200010102011","layer":0}]}
{"id":562,"expression_no_base_symbol":"(⫓⪴($1781$⨥⫆$4677$)⫁($5848$∺≝⩲$2050$))⫔⩽⩺(($1744$⋻⩜⩜$1367$)≥⨤⩑($2585$⩉⊫⨁)∀⋜↑)","expression":"(⫓⪴(⫏≰2102222⨥⫆⫏≰20102020)⫁(⫏≰22000121∺≝⩲⫏≰2210221))⫔⩽⩺((⫏≰2101121⋻⩜⩜⫏≰1212122)≥⨤⩑(⫏≰10112202⩉⊫⨁)∀⋜↑)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":259417,"operation_count":9,"complexity_ratio":28824.11111111111,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1781,"base":3},"right_expr":{"type":"numeric_atoms","value":4677,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5848,"base":3},"right_expr":{"type":"numeric_atoms","value":2050,"base":3}}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1744,"base":3},"right_expr":{"type":"numeric_atoms","value":1367,"base":3}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2585,"base":3}}}}},"used_operators":["i9eR4S00cU","eLxqMNBOBk","0ajvFaJAv0","yXekIHxTD4","KPf6cnQVty","KipPnG1M2J","gJLn6v0xnP","oDCm7WA9JY","7qqUquhhSb"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","9HNa5Wba9A","cHh1gJQ2o6","AHs5Up7iyr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1781","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=1781, right_input=4677, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9230","layer":3},{"info":"number node, value=5848","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=2050, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=9230, right_input=160, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25600","layer":1},{"info":"number node, value=1744","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=1367, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3488","layer":3},{"info":"number node, value=2585","layer":4},{"info":"compute unary expreesion, input=2585, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2585","layer":3},{"info":"compute binary expreesion, left_input=3488, right_input=2585, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"compute binary expreesion, left_input=25600, right_input=-484, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫓⪴(⫏≰2102222⨥⫆⫏≰20102020)⫁(⫏≰22000121∺≝⩲⫏≰2210221))⫔⩽⩺((⫏≰2101121⋻⩜⩜⫏≰1212122)≥⨤⩑(⫏≰10112202⩉⊫⨁)∀⋜↑)=NaN","reverse_text":"NaN=(⫓⪴(⫏≰2102222⨥⫆⫏≰20102020)⫁(⫏≰22000121∺≝⩲⫏≰2210221))⫔⩽⩺((⫏≰2101121⋻⩜⩜⫏≰1212122)≥⨤⩑(⫏≰10112202⩉⊫⨁)∀⋜↑)","cot":[{"info":"⫏≰2102222⨥⫆⫏≰20102020=⫏≰110122212","layer":3},{"info":"⫏≰22000121∺≝⩲⫏≰2210221=⫏≰12221","layer":3},{"info":"⫏≰110122212⫁⫏≰12221=⫏≰12221","layer":2},{"info":"⫓⪴⫏≰12221=⫏≰1022010011","layer":1},{"info":"⫏≰2101121⋻⩜⩜⫏≰1212122=⫏≰11210012","layer":3},{"info":"⫏≰10112202⩉⊫⨁=⫏≰10112202","layer":3},{"info":"⫏≰11210012≥⨤⩑⫏≰10112202=⫏≰1200201","layer":2},{"info":"⫏≰1200201∀⋜↑=⫏≰-122221","layer":1},{"info":"⫏≰1022010011⫔⩽⩺⫏≰-122221=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"(($1851$↓$2215$∖$1552$⩚⊴⇥$2359$)↺($4272$⩺⪪$5334$)⇣⩺⋵($2940$∠↢$2214$))⋓((≘$7642$)⪨⊡$2045$⇍⊗$4330$)⫁($1230$⩼⇪↪$4105$)⋕⪉⪜($2166$⪔⊥$4489$)","expression":"((⫏≰2112120↓⫏≰10001001∖⫏≰2010111⩚⊴⇥⫏≰10020101)↺(⫏≰12212020⩺⪪⫏≰21022120)⇣⩺⋵(⫏≰11000220∠↢⫏≰10001000))⋓((≘⫏≰101111001)⪨⊡⫏≰2210202⇍⊗⫏≰12221101)⫁(⫏≰1200120⩼⇪↪⫏≰12122001)⋕⪉⪜(⫏≰2222020⪔⊥⫏≰20011021)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":32119,"operation_count":15,"complexity_ratio":2141.266666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1851,"base":3},"right_expr":{"type":"numeric_atoms","value":2215,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1552,"base":3},"right_expr":{"type":"numeric_atoms","value":2359,"base":3}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4272,"base":3},"right_expr":{"type":"numeric_atoms","value":5334,"base":3}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2940,"base":3},"right_expr":{"type":"numeric_atoms","value":2214,"base":3}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":7642,"base":3}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2045,"base":3},"right_expr":{"type":"numeric_atoms","value":4330,"base":3}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1230,"base":3},"right_expr":{"type":"numeric_atoms","value":4105,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2166,"base":3},"right_expr":{"type":"numeric_atoms","value":4489,"base":3}}}}},"used_operators":["T2fj7uvVaJ","7j4O788W3g","tXD093vOjl","Af076pWI7l","NTOWxs364D","F4yD0voBRQ","uvdQJvN4PV","KbjG8mgYpV","0ajvFaJAv0","kuIXHzHcAH","tcjXMdvYtA","5uvYHDjeKN","z6LnFrNh4i","ocnLzx9CaJ","HJ9erzHUuu"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1851","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=2215, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=2359, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4032","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-4032, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=4272","layer":4},{"info":"number node, value=5334","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=5334, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=2940","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=2214, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-41674","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=-41674, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-260","layer":1},{"info":"number node, value=7642","layer":4},{"info":"compute unary expreesion, input=7642, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=16851394","layer":3},{"info":"number node, value=2045","layer":4},{"info":"number node, value=4330","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=4330, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=16851394, right_input=-244, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=1765","layer":2},{"info":"number node, value=1230","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=4105, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-27058","layer":3},{"info":"number node, value=2166","layer":4},{"info":"number node, value=4489","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=4489, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-513","layer":3},{"info":"compute binary expreesion, left_input=-27058, right_input=-513, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=1765, right_input=204, 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=-260, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2112120↓⫏≰10001001∖⫏≰2010111⩚⊴⇥⫏≰10020101)↺(⫏≰12212020⩺⪪⫏≰21022120)⇣⩺⋵(⫏≰11000220∠↢⫏≰10001000))⋓((≘⫏≰101111001)⪨⊡⫏≰2210202⇍⊗⫏≰12221101)⫁(⫏≰1200120⩼⇪↪⫏≰12122001)⋕⪉⪜(⫏≰2222020⪔⊥⫏≰20011021)=⫏≰0","reverse_text":"⫏≰0=((⫏≰2112120↓⫏≰10001001∖⫏≰2010111⩚⊴⇥⫏≰10020101)↺(⫏≰12212020⩺⪪⫏≰21022120)⇣⩺⋵(⫏≰11000220∠↢⫏≰10001000))⋓((≘⫏≰101111001)⪨⊡⫏≰2210202⇍⊗⫏≰12221101)⫁(⫏≰1200120⩼⇪↪⫏≰12122001)⋕⪉⪜(⫏≰2222020⪔⊥⫏≰20011021)","cot":[{"info":"⫏≰2112120↓⫏≰10001001=⫏≰-11222","layer":3},{"info":"⫏≰2010111⩚⊴⇥⫏≰10020101=⫏≰-12112100","layer":3},{"info":"⫏≰-11222∖⫏≰-12112100=⫏≰0","layer":2},{"info":"⫏≰12212020⩺⪪⫏≰21022120=⫏≰-2111100","layer":3},{"info":"⫏≰11000220∠↢⫏≰10001000=⫏≰-2010011111","layer":3},{"info":"⫏≰-2111100⇣⩺⋵⫏≰-2010011111=⫏≰-100122","layer":2},{"info":"⫏≰0↺⫏≰-100122=⫏≰-100122","layer":1},{"info":"≘⫏≰101111001=⫏≰1011201010202201","layer":3},{"info":"⫏≰2210202⇍⊗⫏≰12221101=⫏≰-100001","layer":3},{"info":"⫏≰1011201010202201⪨⊡⫏≰-100001=⫏≰2102101","layer":2},{"info":"⫏≰1200120⩼⇪↪⫏≰12122001=⫏≰-1101010011","layer":3},{"info":"⫏≰2222020⪔⊥⫏≰20011021=⫏≰-201000","layer":3},{"info":"⫏≰-1101010011⋕⪉⪜⫏≰-201000=⫏≰21120","layer":2},{"info":"⫏≰2102101⫁⫏≰21120=⫏≰12221","layer":1},{"info":"⫏≰-100122⋓⫏≰12221=⫏≰0","layer":0}]}
{"id":564,"expression_no_base_symbol":"(≦∁($1035$≑≱⪘)⨸$1064$⨿$5088$)⫽⇹≛","expression":"(≦∁(⫏≰1102100≑≱⪘)⨸⫏≰1110102⨿⫏≰20222110)⫽⇹≛","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23741,"operation_count":5,"complexity_ratio":4748.2,"tree":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1035,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1064,"base":3},"right_expr":{"type":"numeric_atoms","value":5088,"base":3}}}}},"used_operators":["NNaDxxp6OQ","9ICcGScMcE","KmoU8R5UQR","tGSeddj7UK","abYXlopdE0"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⫏≰101002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, 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=23275","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=5088","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=5088, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=23275, right_input=-319, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=46550","layer":2},{"info":"compute unary expreesion, input=46550, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=46550","layer":1},{"info":"compute unary expreesion, input=46550, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":3,"result_base":3,"text":"(≦∁(⫏≰1102100≑≱⪘)⨸⫏≰1110102⨿⫏≰20222110)⫽⇹≛=⫏≰101002","reverse_text":"⫏≰101002=(≦∁(⫏≰1102100≑≱⪘)⨸⫏≰1110102⨿⫏≰20222110)⫽⇹≛","cot":[{"info":"⫏≰1102100≑≱⪘=⫏≰1011221001","layer":3},{"info":"⫏≰1110102⨿⫏≰20222110=⫏≰-102211","layer":3},{"info":"⫏≰1011221001⨸⫏≰-102211=⫏≰2100212002","layer":2},{"info":"≦∁⫏≰2100212002=⫏≰2100212002","layer":1},{"info":"⫏≰2100212002⫽⇹≛=⫏≰101002","layer":0}]}
{"id":565,"expression_no_base_symbol":"(⊲⪭(($4803$⨚$7385$)⪒⊣⊆(⋗⩴⪓$5877$)))≁↽≥(⇤←($2190$⫉⨲⊜$5433$∴≳≥))","expression":"(⊲⪭((⫏≰20120220⨚⫏≰101010112)⪒⊣⊆(⋗⩴⪓⫏≰22001200)))≁↽≥(⇤←(⫏≰10000010⫉⨲⊜⫏≰21110020∴≳≥))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6030,"operation_count":8,"complexity_ratio":753.75,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4803,"base":3},"right_expr":{"type":"numeric_atoms","value":7385,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":5877,"base":3}}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2190,"base":3},"right_expr":{"type":"numeric_atoms","value":5433,"base":3}}}}},"used_operators":["ncHt1X6cMc","k7HXdKtiEU","eRqsBgTDFp","nREPSIbpBE","nOKPl9n5zu","jfAgQ2OQeM","a3N2hFLK0J","WhqkvtTD3t"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","i8ToyICDmI","xUOZtlo3hN","sdazOOVcIp","W4YGzv6Whe","BjRHVeLaeN","12rbrZMWeM","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","eewbuw0ToL","zVYPLywUTj"],"result":"⫏≰-210002200001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4803","layer":4},{"info":"number node, value=7385","layer":4},{"info":"compute binary expreesion, left_input=4803, right_input=7385, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-19000","layer":3},{"info":"number node, value=5877","layer":4},{"info":"compute unary expreesion, input=5877, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-4964","layer":3},{"info":"compute binary expreesion, left_input=-19000, right_input=-4964, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=28174","layer":2},{"info":"compute unary expreesion, input=28174, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-28348","layer":1},{"info":"number node, value=2190","layer":4},{"info":"number node, value=5433","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=5433, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1366","layer":1},{"info":"compute binary expreesion, left_input=-28348, right_input=1366, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-415288","layer":0}],"base":3,"result_base":3,"text":"(⊲⪭((⫏≰20120220⨚⫏≰101010112)⪒⊣⊆(⋗⩴⪓⫏≰22001200)))≁↽≥(⇤←(⫏≰10000010⫉⨲⊜⫏≰21110020∴≳≥))=⫏≰-210002200001","reverse_text":"⫏≰-210002200001=(⊲⪭((⫏≰20120220⨚⫏≰101010112)⪒⊣⊆(⋗⩴⪓⫏≰22001200)))≁↽≥(⇤←(⫏≰10000010⫉⨲⊜⫏≰21110020∴≳≥))","cot":[{"info":"⫏≰20120220⨚⫏≰101010112=⫏≰-222001201","layer":3},{"info":"⋗⩴⪓⫏≰22001200=⫏≰-20210212","layer":3},{"info":"⫏≰-222001201⪒⊣⊆⫏≰-20210212=⫏≰1102122111","layer":2},{"info":"⊲⪭⫏≰1102122111=⫏≰-1102212221","layer":1},{"info":"⫏≰10000010⫉⨲⊜⫏≰21110020=⫏≰0","layer":3},{"info":"⫏≰0∴≳≥=⫏≰0","layer":2},{"info":"⇤←⫏≰0=⫏≰1212121","layer":1},{"info":"⫏≰-1102212221≁↽≥⫏≰1212121=⫏≰-210002200001","layer":0}]}
{"id":566,"expression_no_base_symbol":"((⇜⊴$3119$)⨑≵⋬$3368$↙$3106$∲⫓((⫟$2024$)↓⨍⋜))⊉↱≁(((∷≠$1842$)⫲⨊)∕⩚($2856$⨲∙)⊢$8115$⩣⫁∢$6032$)","expression":"((⇜⊴⫏≰11021112)⨑≵⋬⫏≰11121202↙⫏≰11021001∲⫓((⫟⫏≰2202222)↓⨍⋜))⊉↱≁(((∷≠⫏≰2112020)⫲⨊)∕⩚(⫏≰10220210⨲∙)⊢⫏≰102010120⩣⫁∢⫏≰22021102)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4081,"operation_count":13,"complexity_ratio":313.9230769230769,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3119,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3368,"base":3},"right_expr":{"type":"numeric_atoms","value":3106,"base":3}}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2024,"base":3}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1842,"base":3}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":2856,"base":3}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":8115,"base":3},"right_expr":{"type":"numeric_atoms","value":6032,"base":3}}}}},"used_operators":["w2P8NbNXyL","i8ToyICDmI","XnXgA4xnOs","XwDhCwWbUn","yyfyN0ffXY","3DVzLFNsE9","z4E1FaHLuy","z9ffQ9n5Zr","CArV6hThFE","QiR2Oyf5Xj","5twsqlHp2o","cRahaglYVE","JDUIKTTSIa"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","tmPS8pqC7x","DpFCA1CohY","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","7j4O788W3g","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⫏≰10221022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3119","layer":4},{"info":"compute unary expreesion, input=3119, 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=-722370","layer":3},{"info":"number node, value=3368","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=3106, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9318","layer":3},{"info":"compute binary expreesion, left_input=-722370, right_input=-9318, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-3525577","layer":2},{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, 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=-5165","layer":3},{"info":"compute unary expreesion, input=-5165, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=315555","layer":2},{"info":"compute binary expreesion, left_input=-3525577, right_input=315555, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1842","layer":4},{"info":"compute unary expreesion, input=1842, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1842","layer":3},{"info":"compute unary expreesion, input=1842, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=9993","layer":2},{"info":"number node, value=2856","layer":4},{"info":"compute unary expreesion, input=2856, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=36719190","layer":3},{"info":"number node, value=8115","layer":4},{"info":"number node, value=6032","layer":4},{"info":"compute binary expreesion, left_input=8115, right_input=6032, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-16069","layer":3},{"info":"compute binary expreesion, left_input=36719190, right_input=-16069, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-73438624","layer":2},{"info":"compute binary expreesion, left_input=9993, right_input=-73438624, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-487, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=2870","layer":0}],"base":3,"result_base":3,"text":"((⇜⊴⫏≰11021112)⨑≵⋬⫏≰11121202↙⫏≰11021001∲⫓((⫟⫏≰2202222)↓⨍⋜))⊉↱≁(((∷≠⫏≰2112020)⫲⨊)∕⩚(⫏≰10220210⨲∙)⊢⫏≰102010120⩣⫁∢⫏≰22021102)=⫏≰10221022","reverse_text":"⫏≰10221022=((⇜⊴⫏≰11021112)⨑≵⋬⫏≰11121202↙⫏≰11021001∲⫓((⫟⫏≰2202222)↓⨍⋜))⊉↱≁(((∷≠⫏≰2112020)⫲⨊)∕⩚(⫏≰10220210⨲∙)⊢⫏≰102010120⩣⫁∢⫏≰22021102)","cot":[{"info":"⇜⊴⫏≰11021112=⫏≰-1100200220110","layer":3},{"info":"⫏≰11121202↙⫏≰11021001=⫏≰-110210010","layer":3},{"info":"⫏≰-1100200220110⨑≵⋬⫏≰-110210010=⫏≰-20122010011221","layer":2},{"info":"⫟⫏≰2202222=⫏≰-21002022","layer":3},{"info":"⫏≰-21002022↓⨍⋜=⫏≰121000212020","layer":2},{"info":"⫏≰-20122010011221∲⫓⫏≰121000212020=⫏≰0","layer":1},{"info":"∷≠⫏≰2112020=⫏≰2112020","layer":3},{"info":"⫏≰2112020⫲⨊=⫏≰111201010","layer":2},{"info":"⫏≰10220210⨲∙=⫏≰2120002112021000","layer":3},{"info":"⫏≰102010120⩣⫁∢⫏≰22021102=⫏≰-211001011","layer":3},{"info":"⫏≰2120002112021000⊢⫏≰-211001011=⫏≰-12010012001212001","layer":2},{"info":"⫏≰111201010∕⩚⫏≰-12010012001212001=⫏≰-200001","layer":1},{"info":"⫏≰0⊉↱≁⫏≰-200001=⫏≰10221022","layer":0}]}
{"id":567,"expression_no_base_symbol":"⨦⪝(($2471$⊨$1910$)≁($8256$⇗⋫)⫍⨯↯)","expression":"⨦⪝((⫏≰10101112⊨⫏≰2121202)≁(⫏≰102022210⇗⋫)⫍⨯↯)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":106,"operation_count":5,"complexity_ratio":21.2,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2471,"base":3},"right_expr":{"type":"numeric_atoms","value":1910,"base":3}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":8256,"base":3}}}}},"used_operators":["SUjycxNXIR","ZcwmYACASQ","8N2wDY1A35","vg4gO5BX6G","hpqmaQFPrd"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rxpJgHHUmx"],"result":"⫏≰-2120210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2471","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=1910, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=10915","layer":3},{"info":"number node, value=8256","layer":4},{"info":"compute unary expreesion, input=8256, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10915, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":3,"result_base":3,"text":"⨦⪝((⫏≰10101112⊨⫏≰2121202)≁(⫏≰102022210⇗⋫)⫍⨯↯)=⫏≰-2120210","reverse_text":"⫏≰-2120210=⨦⪝((⫏≰10101112⊨⫏≰2121202)≁(⫏≰102022210⇗⋫)⫍⨯↯)","cot":[{"info":"⫏≰10101112⊨⫏≰2121202=⫏≰112222021","layer":3},{"info":"⫏≰102022210⇗⋫=NaN","layer":3},{"info":"⫏≰112222021≁NaN=NaN","layer":2},{"info":"NaN⫍⨯↯=⫏≰-11222","layer":1},{"info":"⨦⪝⫏≰-11222=⫏≰-2120210","layer":0}]}
{"id":568,"expression_no_base_symbol":"($1965$⪘⫢$3964$)∥⊢⊲$1304$⫣⪄⊒$2850$⇌⫙⪟(⪡⇡≛$3473$)∇⊂⋱($2084$⫚↹⊑$1594$)⫸⊐($5041$⩍⋽⫝̸$1097$)⪬($1227$⊬⨰$1012$)⪔(↥≼⋛(⩦⊞$4446$))","expression":"(⫏≰2200210⪘⫢⫏≰12102211)∥⊢⊲⫏≰1210022⫣⪄⊒⫏≰10220120⇌⫙⪟(⪡⇡≛⫏≰11202122)∇⊂⋱(⫏≰2212012⫚↹⊑⫏≰2012001)⫸⊐(⫏≰20220201⩍⋽⫝̸⫏≰1111122)⪬(⫏≰1200110⊬⨰⫏≰1101111)⪔(↥≼⋛(⩦⊞⫏≰20002200))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4947,"operation_count":14,"complexity_ratio":353.35714285714283,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1965,"base":3},"right_expr":{"type":"numeric_atoms","value":3964,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1304,"base":3},"right_expr":{"type":"numeric_atoms","value":2850,"base":3}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":3473,"base":3}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2084,"base":3},"right_expr":{"type":"numeric_atoms","value":1594,"base":3}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5041,"base":3},"right_expr":{"type":"numeric_atoms","value":1097,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1227,"base":3},"right_expr":{"type":"numeric_atoms","value":1012,"base":3}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":4446,"base":3}}}}},"used_operators":["mqXw5SEYmG","AFVx7xoS7T","v1UQAVDJRr","oacrs7FA3X","RabNbG55vr","nhYeJWJD5X","qL4PrbW1Dq","dfKe02y8D2","GjBEYRfMaF","Ez1Nq5fNfI","BiWNJpBvwn","s3Fd5m9Dh2","x5lMkHmzsq","u7fv1HBiaC"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","EBcxylXtPf","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Ph9nP6C5qx","xUOZtlo3hN","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1965","layer":4},{"info":"number node, value=3964","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=3964, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3806","layer":3},{"info":"number node, value=1304","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=2850, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-15004","layer":3},{"info":"compute binary expreesion, left_input=3806, right_input=-15004, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=3473","layer":4},{"info":"compute unary expreesion, input=3473, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-3473","layer":3},{"info":"number node, value=2084","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=1594, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-3473, right_input=-447, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=894","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=894, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=5041","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=5041, right_input=1097, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=151","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=1012, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4219","layer":3},{"info":"compute binary expreesion, left_input=151, right_input=4219, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=4446","layer":4},{"info":"compute unary expreesion, input=4446, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4173","layer":3},{"info":"compute unary expreesion, input=-4173, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-4140","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-4140, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2200210⪘⫢⫏≰12102211)∥⊢⊲⫏≰1210022⫣⪄⊒⫏≰10220120⇌⫙⪟(⪡⇡≛⫏≰11202122)∇⊂⋱(⫏≰2212012⫚↹⊑⫏≰2012001)⫸⊐(⫏≰20220201⩍⋽⫝̸⫏≰1111122)⪬(⫏≰1200110⊬⨰⫏≰1101111)⪔(↥≼⋛(⩦⊞⫏≰20002200))=NaN","reverse_text":"NaN=(⫏≰2200210⪘⫢⫏≰12102211)∥⊢⊲⫏≰1210022⫣⪄⊒⫏≰10220120⇌⫙⪟(⪡⇡≛⫏≰11202122)∇⊂⋱(⫏≰2212012⫚↹⊑⫏≰2012001)⫸⊐(⫏≰20220201⩍⋽⫝̸⫏≰1111122)⪬(⫏≰1200110⊬⨰⫏≰1101111)⪔(↥≼⋛(⩦⊞⫏≰20002200))","cot":[{"info":"⫏≰2200210⪘⫢⫏≰12102211=⫏≰12012222","layer":3},{"info":"⫏≰1210022⫣⪄⊒⫏≰10220120=⫏≰-202120201","layer":3},{"info":"⫏≰12012222∥⊢⊲⫏≰-202120201=NaN","layer":2},{"info":"⪡⇡≛⫏≰11202122=⫏≰-11202122","layer":3},{"info":"⫏≰2212012⫚↹⊑⫏≰2012001=⫏≰-121120","layer":3},{"info":"⫏≰-11202122∇⊂⋱⫏≰-121120=⫏≰1020010","layer":2},{"info":"NaN⇌⫙⪟⫏≰1020010=NaN","layer":1},{"info":"⫏≰20220201⩍⋽⫝̸⫏≰1111122=⫏≰12121","layer":3},{"info":"⫏≰1200110⊬⨰⫏≰1101111=⫏≰12210021","layer":3},{"info":"⫏≰12121⪬⫏≰12210021=⫏≰1200201","layer":2},{"info":"⩦⊞⫏≰20002200=⫏≰-12201120","layer":3},{"info":"↥≼⋛⫏≰-12201120=⫏≰-12200100","layer":2},{"info":"⫏≰1200201⪔⫏≰-12200100=⫏≰121200","layer":1},{"info":"NaN⫸⊐⫏≰121200=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"(⊤⊝($3578$⪛⫼$1332$)⨔≚≋(⨮↦↱$5013$))⊲⩕⊾(($7727$∷)⨔⇊($3820$≀⩗∶$1683$)⩷∴($4678$∼$1679$)⫉⨲⊜($1772$⪛⫼$3908$))","expression":"(⊤⊝(⫏≰11220112⪛⫼⫏≰1211100)⨔≚≋(⨮↦↱⫏≰20212200))⊲⩕⊾((⫏≰101121012∷)⨔⇊(⫏≰12020111≀⩗∶⫏≰2022100)⩷∴(⫏≰20102021∼⫏≰2022012)⫉⨲⊜(⫏≰2102122⪛⫼⫏≰12100202))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5035,"operation_count":12,"complexity_ratio":419.5833333333333,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3578,"base":3},"right_expr":{"type":"numeric_atoms","value":1332,"base":3}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":5013,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":7727,"base":3}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3820,"base":3},"right_expr":{"type":"numeric_atoms","value":1683,"base":3}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4678,"base":3},"right_expr":{"type":"numeric_atoms","value":1679,"base":3}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1772,"base":3},"right_expr":{"type":"numeric_atoms","value":3908,"base":3}}}}},"used_operators":["DmTXOeWf9t","rXAclfmB4M","Z57zeUYC9z","hyuBjUqXlG","sYcpBQ0cFf","9FxExcQeMw","JclMnS0uGI","nFAOW8KTqp","8INZBEW696","WhqkvtTD3t","DyGG3AbaNP"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eewbuw0ToL","zVYPLywUTj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3578","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=1332, 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":3},{"info":"number node, value=5013","layer":4},{"info":"compute unary expreesion, input=5013, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-61325451","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-61325451, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute unary expreesion, input=9872, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=18446","layer":1},{"info":"number node, value=7727","layer":4},{"info":"compute unary expreesion, input=7727, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=23181","layer":3},{"info":"number node, value=3820","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=3820, right_input=1683, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=23181, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"number node, value=4678","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=4678, right_input=1679, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=3908","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=3908, 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":3},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18446, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊤⊝(⫏≰11220112⪛⫼⫏≰1211100)⨔≚≋(⨮↦↱⫏≰20212200))⊲⩕⊾((⫏≰101121012∷)⨔⇊(⫏≰12020111≀⩗∶⫏≰2022100)⩷∴(⫏≰20102021∼⫏≰2022012)⫉⨲⊜(⫏≰2102122⪛⫼⫏≰12100202))=NaN","reverse_text":"NaN=(⊤⊝(⫏≰11220112⪛⫼⫏≰1211100)⨔≚≋(⨮↦↱⫏≰20212200))⊲⩕⊾((⫏≰101121012∷)⨔⇊(⫏≰12020111≀⩗∶⫏≰2022100)⩷∴(⫏≰20102021∼⫏≰2022012)⫉⨲⊜(⫏≰2102122⪛⫼⫏≰12100202))","cot":[{"info":"⫏≰11220112⪛⫼⫏≰1211100=⫏≰1022212","layer":3},{"info":"⨮↦↱⫏≰20212200=⫏≰-11021101122201000","layer":3},{"info":"⫏≰1022212⨔≚≋⫏≰-11021101122201000=⫏≰111112122","layer":2},{"info":"⊤⊝⫏≰111112122=⫏≰221022012","layer":1},{"info":"⫏≰101121012∷=⫏≰1011210120","layer":3},{"info":"⫏≰12020111≀⩗∶⫏≰2022100=⫏≰0","layer":3},{"info":"⫏≰1011210120⨔⇊⫏≰0=⫏≰0","layer":2},{"info":"⫏≰20102021∼⫏≰2022012=NaN","layer":3},{"info":"⫏≰2102122⪛⫼⫏≰12100202=⫏≰1022212","layer":3},{"info":"NaN⫉⨲⊜⫏≰1022212=NaN","layer":2},{"info":"⫏≰0⩷∴NaN=NaN","layer":1},{"info":"⫏≰221022012⊲⩕⊾NaN=NaN","layer":0}]}
{"id":570,"expression_no_base_symbol":"⨙⪌(⨵(($3082$↺$1322$)≚⊃≕($1289$⪁$2484$)))","expression":"⨙⪌(⨵((⫏≰11020011↺⫏≰1210222)≚⊃≕(⫏≰1202202⪁⫏≰10102000)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":56732177,"operation_count":5,"complexity_ratio":11346435.4,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3082,"base":3},"right_expr":{"type":"numeric_atoms","value":1322,"base":3}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1289,"base":3},"right_expr":{"type":"numeric_atoms","value":2484,"base":3}}}}},"used_operators":["vEGLkm4Z2k","Tl3Y52tvF8","Bmrmz2XGnR","7j4O788W3g","I7sXao9hZE"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⫏≰1012011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3082","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=1322, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1322","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=2484, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1322, 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=-8682","layer":2},{"info":"compute unary expreesion, input=-8682, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=211223","layer":1},{"info":"compute unary expreesion, input=211223, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":3,"result_base":3,"text":"⨙⪌(⨵((⫏≰11020011↺⫏≰1210222)≚⊃≕(⫏≰1202202⪁⫏≰10102000)))=⫏≰1012011","reverse_text":"⫏≰1012011=⨙⪌(⨵((⫏≰11020011↺⫏≰1210222)≚⊃≕(⫏≰1202202⪁⫏≰10102000)))","cot":[{"info":"⫏≰11020011↺⫏≰1210222=⫏≰1210222","layer":3},{"info":"⫏≰1202202⪁⫏≰10102000=NaN","layer":3},{"info":"⫏≰1210222≚⊃≕NaN=⫏≰-102220120","layer":2},{"info":"⨵⫏≰-102220120=⫏≰101201202002","layer":1},{"info":"⨙⪌⫏≰101201202002=⫏≰1012011","layer":0}]}
{"id":571,"expression_no_base_symbol":"(≸≮($4590$⫌⩉⩟$2148$)⪟⇏($2408$⩣⫁∢$2700$))⫯⪬∳(($1457$⩇∃⫛$1733$∪⫐$1878$⪛⫼$6894$)⨸⪁($1120$≴⪞⇿$1865$⪁(⊖$1235$)))","expression":"(≸≮(⫏≰20022000⫌⩉⩟⫏≰2221120)⪟⇏(⫏≰10022012⩣⫁∢⫏≰10201000))⫯⪬∳((⫏≰1222222⩇∃⫛⫏≰2101012∪⫐⫏≰2120120⪛⫼⫏≰100110100)⨸⪁(⫏≰1112111≴⪞⇿⫏≰2120002⪁(⊖⫏≰1200202)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14727,"operation_count":12,"complexity_ratio":1227.25,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4590,"base":3},"right_expr":{"type":"numeric_atoms","value":2148,"base":3}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2408,"base":3},"right_expr":{"type":"numeric_atoms","value":2700,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1457,"base":3},"right_expr":{"type":"numeric_atoms","value":1733,"base":3}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1878,"base":3},"right_expr":{"type":"numeric_atoms","value":6894,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1120,"base":3},"right_expr":{"type":"numeric_atoms","value":1865,"base":3}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1235,"base":3}}}}},"used_operators":["d7ASUq0ydm","AljMvE3RRm","GODebY97qR","XIIwhv8d0m","JDUIKTTSIa","g55IO6H4Gj","7YooWSwCyH","1aApVXNlOP","hyuBjUqXlG","I7sXao9hZE","lvlrscuwVU","U6pG0PXrV3"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"⫏≰102121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4590","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=4590, right_input=2148, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2408","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=2700, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4655","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-4655, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-262","layer":1},{"info":"number node, value=1457","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=1733, 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=749","layer":3},{"info":"number node, value=1878","layer":4},{"info":"number node, value=6894","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=6894, 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":3},{"info":"compute binary expreesion, left_input=749, right_input=968, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=749","layer":2},{"info":"number node, value=1120","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=1865, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1435052","layer":3},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1435052, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=749, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-262, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=313","layer":0}],"base":3,"result_base":3,"text":"(≸≮(⫏≰20022000⫌⩉⩟⫏≰2221120)⪟⇏(⫏≰10022012⩣⫁∢⫏≰10201000))⫯⪬∳((⫏≰1222222⩇∃⫛⫏≰2101012∪⫐⫏≰2120120⪛⫼⫏≰100110100)⨸⪁(⫏≰1112111≴⪞⇿⫏≰2120002⪁(⊖⫏≰1200202)))=⫏≰102121","reverse_text":"⫏≰102121=(≸≮(⫏≰20022000⫌⩉⩟⫏≰2221120)⪟⇏(⫏≰10022012⩣⫁∢⫏≰10201000))⫯⪬∳((⫏≰1222222⩇∃⫛⫏≰2101012∪⫐⫏≰2120120⪛⫼⫏≰100110100)⨸⪁(⫏≰1112111≴⪞⇿⫏≰2120002⪁(⊖⫏≰1200202)))","cot":[{"info":"⫏≰20022000⫌⩉⩟⫏≰2221120=⫏≰-1212","layer":3},{"info":"⫏≰10022012⩣⫁∢⫏≰10201000=⫏≰-20101102","layer":3},{"info":"⫏≰-1212⪟⇏⫏≰-20101102=⫏≰0","layer":2},{"info":"≸≮⫏≰0=⫏≰-100201","layer":1},{"info":"⫏≰1222222⩇∃⫛⫏≰2101012=⫏≰1000202","layer":3},{"info":"⫏≰2120120⪛⫼⫏≰100110100=⫏≰1022212","layer":3},{"info":"⫏≰1000202∪⫐⫏≰1022212=⫏≰1000202","layer":2},{"info":"⫏≰1112111≴⪞⇿⫏≰2120002=⫏≰2200220112002","layer":3},{"info":"⊖⫏≰1200202=⫏≰0","layer":3},{"info":"⫏≰2200220112002⪁⫏≰0=NaN","layer":2},{"info":"⫏≰1000202⨸⪁NaN=NaN","layer":1},{"info":"⫏≰-100201⫯⪬∳NaN=⫏≰102121","layer":0}]}
{"id":572,"expression_no_base_symbol":"⩏⊷≩(⨵($2978$*$4838$))⇣⩺⋵$1392$⇂≾⫗$1146$∋($1347$≨$3491$)","expression":"⩏⊷≩(⨵(⫏≰11002022*⫏≰20122012))⇣⩺⋵⫏≰1220120⇂≾⫗⫏≰1120110∋(⫏≰1211220≨⫏≰11210022)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3322,"operation_count":7,"complexity_ratio":474.57142857142856,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2978,"base":3},"right_expr":{"type":"numeric_atoms","value":4838,"base":3}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1392,"base":3},"right_expr":{"type":"numeric_atoms","value":1146,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1347,"base":3},"right_expr":{"type":"numeric_atoms","value":3491,"base":3}}}}},"used_operators":["uOZ1tnYMDE","F4yD0voBRQ","Tl3Y52tvF8","9HNa5Wba9A","ukq6epAj5P","aBQ6xLxuTc","0KMCeP1Jsh"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⫏≰11202111101100102221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2978","layer":4},{"info":"number node, value=4838","layer":4},{"info":"compute binary expreesion, left_input=2978, right_input=4838, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14407564","layer":3},{"info":"compute unary expreesion, input=14407564, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-115261721","layer":2},{"info":"number node, value=1392","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=1146, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=3491, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-10994","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-10994, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-51920","layer":2},{"info":"compute binary expreesion, left_input=-115261721, right_input=-51920, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-460942982","layer":1},{"info":"compute unary expreesion, input=-460942982, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1843772542","layer":0}],"base":3,"result_base":3,"text":"⩏⊷≩(⨵(⫏≰11002022*⫏≰20122012))⇣⩺⋵⫏≰1220120⇂≾⫗⫏≰1120110∋(⫏≰1211220≨⫏≰11210022)=⫏≰11202111101100102221","reverse_text":"⫏≰11202111101100102221=⩏⊷≩(⨵(⫏≰11002022*⫏≰20122012))⇣⩺⋵⫏≰1220120⇂≾⫗⫏≰1120110∋(⫏≰1211220≨⫏≰11210022)","cot":[{"info":"⫏≰11002022*⫏≰20122012=⫏≰1000002222110111","layer":3},{"info":"⨵⫏≰1000002222110111=⫏≰-22000212220100122","layer":2},{"info":"⫏≰1220120⇂≾⫗⫏≰1120110=⫏≰-221001","layer":3},{"info":"⫏≰1211220≨⫏≰11210022=⫏≰-120002012","layer":3},{"info":"⫏≰-221001∋⫏≰-120002012=⫏≰-2122012222","layer":2},{"info":"⫏≰-22000212220100122⇣⩺⋵⫏≰-2122012222=⫏≰-1012010100022220022","layer":1},{"info":"⩏⊷≩⫏≰-1012010100022220022=⫏≰11202111101100102221","layer":0}]}
{"id":573,"expression_no_base_symbol":"⇘(((∑⇻≧$4165$)⇮⋭$5456$∌$2998$)≚⊃≕(($3992$∽$3737$)⊭↱$1755$⋣⋖$4115$))","expression":"⇘(((∑⇻≧⫏≰12201021)⇮⋭⫏≰21111002∌⫏≰11010001)≚⊃≕((⫏≰12110212∽⫏≰12010102)⊭↱⫏≰2102000⋣⋖⫏≰12122102))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":399860,"operation_count":8,"complexity_ratio":49982.5,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":4165,"base":3}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5456,"base":3},"right_expr":{"type":"numeric_atoms","value":2998,"base":3}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3992,"base":3},"right_expr":{"type":"numeric_atoms","value":3737,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1755,"base":3},"right_expr":{"type":"numeric_atoms","value":4115,"base":3}}}}},"used_operators":["MGuIdZPyUC","Bmrmz2XGnR","vkpjKywKVM","l1M9WJ3V7u","8cLx32lpNA","COABgblf1C","y4ImoPnbV5","J0M6qkBnIM"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4165","layer":4},{"info":"compute unary expreesion, input=4165, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=5456","layer":4},{"info":"number node, value=2998","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=2998, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2998","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=-2998, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=3992","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=3992, right_input=3737, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-30993","layer":3},{"info":"number node, value=1755","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=4115, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1755","layer":3},{"info":"compute binary expreesion, left_input=-30993, right_input=1755, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=65501","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=65501, 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=-199865","layer":1},{"info":"compute unary expreesion, input=-199865, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇘(((∑⇻≧⫏≰12201021)⇮⋭⫏≰21111002∌⫏≰11010001)≚⊃≕((⫏≰12110212∽⫏≰12010102)⊭↱⫏≰2102000⋣⋖⫏≰12122102))=NaN","reverse_text":"NaN=⇘(((∑⇻≧⫏≰12201021)⇮⋭⫏≰21111002∌⫏≰11010001)≚⊃≕((⫏≰12110212∽⫏≰12010102)⊭↱⫏≰2102000⋣⋖⫏≰12122102))","cot":[{"info":"∑⇻≧⫏≰12201021=⫏≰-1011120","layer":3},{"info":"⫏≰21111002∌⫏≰11010001=⫏≰-11010001","layer":3},{"info":"⫏≰-1011120⇮⋭⫏≰-11010001=⫏≰2111","layer":2},{"info":"⫏≰12110212∽⫏≰12010102=⫏≰-1120111220","layer":3},{"info":"⫏≰2102000⋣⋖⫏≰12122102=⫏≰2102000","layer":3},{"info":"⫏≰-1120111220⊭↱⫏≰2102000=⫏≰10022211222","layer":2},{"info":"⫏≰2111≚⊃≕⫏≰10022211222=⫏≰-101011011102","layer":1},{"info":"⇘⫏≰-101011011102=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"≦∁($1495$⩚⊴⇥$2201$)↢(⊽$2949$)⊝⪿⪼(($1202$↡⊰⫅$4018$)⩒⫫$2991$⪝$1592$)","expression":"≦∁(⫏≰2001101⩚⊴⇥⫏≰10000112)↢(⊽⫏≰11001020)⊝⪿⪼((⫏≰1122112↡⊰⫅⫏≰12111211)⩒⫫⫏≰11002210⪝⫏≰2011222)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":56759,"operation_count":8,"complexity_ratio":7094.875,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1495,"base":3},"right_expr":{"type":"numeric_atoms","value":2201,"base":3}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2949,"base":3}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1202,"base":3},"right_expr":{"type":"numeric_atoms","value":4018,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2991,"base":3},"right_expr":{"type":"numeric_atoms","value":1592,"base":3}}}}},"used_operators":["9ICcGScMcE","3Oe9XWJUTD","WR6HLWljOP","NTOWxs364D","QxG7OkqoLX","KFSx94NKJn","VCtxkLNOzz","wicAB68Tmb"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⫏≰12222220012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1495","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=2201, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3817","layer":3},{"info":"number node, value=2949","layer":4},{"info":"compute unary expreesion, input=2949, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=7420","layer":3},{"info":"compute binary expreesion, left_input=-3817, right_input=7420, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=7206","layer":2},{"info":"number node, value=1202","layer":4},{"info":"number node, value=4018","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=4018, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8036","layer":3},{"info":"number node, value=2991","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=2991, right_input=1592, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5995","layer":3},{"info":"compute binary expreesion, left_input=8036, right_input=-5995, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7734","layer":2},{"info":"compute binary expreesion, left_input=7206, right_input=7734, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=118022","layer":1},{"info":"compute unary expreesion, input=118022, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=118022","layer":0}],"base":3,"result_base":3,"text":"≦∁(⫏≰2001101⩚⊴⇥⫏≰10000112)↢(⊽⫏≰11001020)⊝⪿⪼((⫏≰1122112↡⊰⫅⫏≰12111211)⩒⫫⫏≰11002210⪝⫏≰2011222)=⫏≰12222220012","reverse_text":"⫏≰12222220012=≦∁(⫏≰2001101⩚⊴⇥⫏≰10000112)↢(⊽⫏≰11001020)⊝⪿⪼((⫏≰1122112↡⊰⫅⫏≰12111211)⩒⫫⫏≰11002210⪝⫏≰2011222)","cot":[{"info":"⫏≰2001101⩚⊴⇥⫏≰10000112=⫏≰-12020101","layer":3},{"info":"⊽⫏≰11001020=⫏≰101011211","layer":3},{"info":"⫏≰-12020101↢⫏≰101011211=⫏≰100212220","layer":2},{"info":"⫏≰1122112↡⊰⫅⫏≰12111211=⫏≰102000122","layer":3},{"info":"⫏≰11002210⪝⫏≰2011222=⫏≰-22020001","layer":3},{"info":"⫏≰102000122⩒⫫⫏≰-22020001=⫏≰101121110","layer":2},{"info":"⫏≰100212220⊝⪿⪼⫏≰101121110=⫏≰12222220012","layer":1},{"info":"≦∁⫏≰12222220012=⫏≰12222220012","layer":0}]}
{"id":575,"expression_no_base_symbol":"⇘((≸($4587$⪛$1761$))+$1167$∌↝$1376$⨪↰⇹($5383$⩺⪪$6198$))","expression":"⇘((≸(⫏≰20021220⪛⫏≰2102020))+⫏≰1121020∌↝⫏≰1212222⨪↰⇹(⫏≰21101101⩺⪪⫏≰22111120))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":368,"operation_count":7,"complexity_ratio":52.57142857142857,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4587,"base":3},"right_expr":{"type":"numeric_atoms","value":1761,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1167,"base":3},"right_expr":{"type":"numeric_atoms","value":1376,"base":3}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5383,"base":3},"right_expr":{"type":"numeric_atoms","value":6198,"base":3}}}}},"used_operators":["MGuIdZPyUC","W4YGzv6Whe","eOf03JbCpp","uFcxV4UQCh","tmPS8pqC7x","9Isq31Ruls","uvdQJvN4PV"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⫏≰-12202212021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4587","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=4587, right_input=1761, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1065","layer":3},{"info":"compute unary expreesion, input=1065, 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":2},{"info":"number node, value=1167","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=1376, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=5383","layer":4},{"info":"number node, value=6198","layer":4},{"info":"compute binary expreesion, left_input=5383, right_input=6198, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1818, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=58, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=58","layer":1},{"info":"compute unary expreesion, input=58, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-113623","layer":0}],"base":3,"result_base":3,"text":"⇘((≸(⫏≰20021220⪛⫏≰2102020))+⫏≰1121020∌↝⫏≰1212222⨪↰⇹(⫏≰21101101⩺⪪⫏≰22111120))=⫏≰-12202212021","reverse_text":"⫏≰-12202212021=⇘((≸(⫏≰20021220⪛⫏≰2102020))+⫏≰1121020∌↝⫏≰1212222⨪↰⇹(⫏≰21101101⩺⪪⫏≰22111120))","cot":[{"info":"⫏≰20021220⪛⫏≰2102020=⫏≰1110110","layer":3},{"info":"≸⫏≰1110110=⫏≰2011","layer":2},{"info":"⫏≰1121020∌↝⫏≰1212222=⫏≰0","layer":3},{"info":"⫏≰21101101⩺⪪⫏≰22111120=⫏≰-2111100","layer":3},{"info":"⫏≰0⨪↰⇹⫏≰-2111100=⫏≰0","layer":2},{"info":"⫏≰2011+⫏≰0=⫏≰2011","layer":1},{"info":"⇘⫏≰2011=⫏≰-12202212021","layer":0}]}
{"id":576,"expression_no_base_symbol":"(⋃(($3590$∧)⊔(⊖$6609$)))∛≔","expression":"(⋃((⫏≰11220222∧)⊔(⊖⫏≰100001210)))∛≔","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":196,"operation_count":5,"complexity_ratio":39.2,"tree":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3590,"base":3}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":6609,"base":3}}}}},"used_operators":["mGnSCrte3L","3mBM5G4a3l","E4l6HwMY31","z63VuFQld9","U6pG0PXrV3"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","g55IO6H4Gj","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3590","layer":4},{"info":"compute unary expreesion, input=3590, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=6609","layer":4},{"info":"compute unary expreesion, input=6609, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋃((⫏≰11220222∧)⊔(⊖⫏≰100001210)))∛≔=NaN","reverse_text":"NaN=(⋃((⫏≰11220222∧)⊔(⊖⫏≰100001210)))∛≔","cot":[{"info":"⫏≰11220222∧=NaN","layer":3},{"info":"⊖⫏≰100001210=⫏≰0","layer":3},{"info":"NaN⊔⫏≰0=NaN","layer":2},{"info":"⋃NaN=NaN","layer":1},{"info":"NaN∛≔=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"(⩷⨜⫀($3483$⫉⨲⊜$1353$⨴∎))⨑⩅≇((⊈$8003$)≚⊃≕$2889$⇡⇂$2189$⨭⪣((→⩰$2888$)∕⩚$3126$-$3685$))","expression":"(⩷⨜⫀(⫏≰11210000⫉⨲⊜⫏≰1212010⨴∎))⨑⩅≇((⊈⫏≰101222102)≚⊃≕⫏≰10222000⇡⇂⫏≰10000002⨭⪣((→⩰⫏≰10221222)∕⩚⫏≰11021210-⫏≰12001111))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14037,"operation_count":11,"complexity_ratio":1276.090909090909,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3483,"base":3},"right_expr":{"type":"numeric_atoms","value":1353,"base":3}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":8003,"base":3}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2889,"base":3},"right_expr":{"type":"numeric_atoms","value":2189,"base":3}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2888,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3126,"base":3},"right_expr":{"type":"numeric_atoms","value":3685,"base":3}}}}},"used_operators":["h92wMvzauj","CDi0ktkjQ4","CpSg5vQTgA","WhqkvtTD3t","kn8WO9XteQ","Bmrmz2XGnR","RHru8klgy8","UMwdvZNt44","z9ffQ9n5Zr","o8Pngz0Tml","rysDP5nf3Z"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","ruOEQAzv1W","nhYeJWJD5X","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","eewbuw0ToL","zVYPLywUTj","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","12rbrZMWeM","xUOZtlo3hN","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"⫏≰1021122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3483","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=1353, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"number node, value=8003","layer":4},{"info":"compute unary expreesion, input=8003, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-8177","layer":3},{"info":"number node, value=2889","layer":4},{"info":"number node, value=2189","layer":4},{"info":"compute binary expreesion, left_input=2889, right_input=2189, 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":3},{"info":"compute binary expreesion, left_input=-8177, 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":2},{"info":"number node, value=2888","layer":4},{"info":"compute unary expreesion, input=2888, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=3126","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=3685, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-559","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-559, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-487, 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":1},{"info":"compute binary expreesion, left_input=-766, 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":3,"result_base":3,"text":"(⩷⨜⫀(⫏≰11210000⫉⨲⊜⫏≰1212010⨴∎))⨑⩅≇((⊈⫏≰101222102)≚⊃≕⫏≰10222000⇡⇂⫏≰10000002⨭⪣((→⩰⫏≰10221222)∕⩚⫏≰11021210-⫏≰12001111))=⫏≰1021122","reverse_text":"⫏≰1021122=(⩷⨜⫀(⫏≰11210000⫉⨲⊜⫏≰1212010⨴∎))⨑⩅≇((⊈⫏≰101222102)≚⊃≕⫏≰10222000⇡⇂⫏≰10000002⨭⪣((→⩰⫏≰10221222)∕⩚⫏≰11021210-⫏≰12001111))","cot":[{"info":"⫏≰11210000⫉⨲⊜⫏≰1212010=⫏≰0","layer":3},{"info":"⫏≰0⨴∎=⫏≰0","layer":2},{"info":"⩷⨜⫀⫏≰0=⫏≰-1001101","layer":1},{"info":"⊈⫏≰101222102=⫏≰-102012212","layer":3},{"info":"⫏≰10222000⇡⇂⫏≰10000002=NaN","layer":3},{"info":"⫏≰-102012212≚⊃≕NaN=NaN","layer":2},{"info":"→⩰⫏≰10221222=NaN","layer":3},{"info":"⫏≰11021210-⫏≰12001111=⫏≰-202201","layer":3},{"info":"NaN∕⩚⫏≰-202201=⫏≰-200001","layer":2},{"info":"NaN⨭⪣⫏≰-200001=NaN","layer":1},{"info":"⫏≰-1001101⨑⩅≇NaN=⫏≰1021122","layer":0}]}
{"id":578,"expression_no_base_symbol":"⊆⋠(≔($7795$⨼⩣$1900$+$2613$⨐⩸⫘$1296$))","expression":"⊆⋠(≔(⫏≰101200201⨼⩣⫏≰2121101+⫏≰10120210⨐⩸⫘⫏≰1210000))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":461,"operation_count":5,"complexity_ratio":92.2,"tree":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":7795,"base":3},"right_expr":{"type":"numeric_atoms","value":1900,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2613,"base":3},"right_expr":{"type":"numeric_atoms","value":1296,"base":3}}}}},"used_operators":["EBhcHTkKd8","8FLs4eVsLt","W4YGzv6Whe","JxwMv5le6e","fu6greOZ01"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","3ViojmjbAp"],"result":"⫏≰12110101","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=7795","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=7795, right_input=1900, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2613","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=2613, right_input=1296, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":0}],"base":3,"result_base":3,"text":"⊆⋠(≔(⫏≰101200201⨼⩣⫏≰2121101+⫏≰10120210⨐⩸⫘⫏≰1210000))=⫏≰12110101","reverse_text":"⫏≰12110101=⊆⋠(≔(⫏≰101200201⨼⩣⫏≰2121101+⫏≰10120210⨐⩸⫘⫏≰1210000))","cot":[{"info":"⫏≰101200201⨼⩣⫏≰2121101=NaN","layer":3},{"info":"⫏≰10120210⨐⩸⫘⫏≰1210000=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"≔NaN=NaN","layer":1},{"info":"⊆⋠NaN=⫏≰12110101","layer":0}]}
{"id":579,"expression_no_base_symbol":"(⇨($6825$∪⫐$7187$))⨜⨶(⫓⪴$2169$⨫⇇↔$1062$)≬⋮(($4644$⪄$9007$)∊∟⩊(≻⋜$6462$))⇡⇂((⨆≐≲$4515$)⨳⩥⨓(⊽$1062$))","expression":"(⇨(⫏≰100100210∪⫐⫏≰100212012))⨜⨶(⫓⪴⫏≰2222100⨫⇇↔⫏≰1110100)≬⋮((⫏≰20101000⪄⫏≰110100121)∊∟⩊(≻⋜⫏≰22212100))⇡⇂((⨆≐≲⫏≰20012020)⨳⩥⨓(⊽⫏≰1110100))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":98210554,"operation_count":13,"complexity_ratio":7554658.0,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6825,"base":3},"right_expr":{"type":"numeric_atoms","value":7187,"base":3}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2169,"base":3},"right_expr":{"type":"numeric_atoms","value":1062,"base":3}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4644,"base":3},"right_expr":{"type":"numeric_atoms","value":9007,"base":3}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":6462,"base":3}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4515,"base":3}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1062,"base":3}}}}},"used_operators":["kbkesczE7y","HiPekx5b7W","G9tJMlZ94a","7YooWSwCyH","eLxqMNBOBk","LXhwmt4mBO","UMwdvZNt44","ddLRYrp01A","SUmda5xLS4","3tj9sqzovi","nCS4ZIUYfx","Bi9z9uYZqW","QxG7OkqoLX"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","9HNa5Wba9A","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","W4YGzv6Whe","rysDP5nf3Z","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"⫏≰1012011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6825","layer":4},{"info":"number node, value=7187","layer":4},{"info":"compute binary expreesion, left_input=6825, right_input=7187, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6825","layer":3},{"info":"compute unary expreesion, input=6825, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=2169","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=1062, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=277729","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=277729, 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=-555202","layer":1},{"info":"number node, value=4644","layer":4},{"info":"number node, value=9007","layer":4},{"info":"compute binary expreesion, left_input=4644, right_input=9007, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-719429","layer":3},{"info":"number node, value=6462","layer":4},{"info":"compute unary expreesion, input=6462, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-719429, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=28","layer":2},{"info":"number node, value=4515","layer":4},{"info":"compute unary expreesion, input=4515, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=49078680","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3646","layer":3},{"info":"compute binary expreesion, left_input=49078680, right_input=3646, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-49075034","layer":2},{"info":"compute binary expreesion, left_input=28, right_input=-49075034, 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=-31","layer":1},{"info":"compute binary expreesion, left_input=-555202, right_input=-31, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":3,"result_base":3,"text":"(⇨(⫏≰100100210∪⫐⫏≰100212012))⨜⨶(⫓⪴⫏≰2222100⨫⇇↔⫏≰1110100)≬⋮((⫏≰20101000⪄⫏≰110100121)∊∟⩊(≻⋜⫏≰22212100))⇡⇂((⨆≐≲⫏≰20012020)⨳⩥⨓(⊽⫏≰1110100))=⫏≰1012011","reverse_text":"⫏≰1012011=(⇨(⫏≰100100210∪⫐⫏≰100212012))⨜⨶(⫓⪴⫏≰2222100⨫⇇↔⫏≰1110100)≬⋮((⫏≰20101000⪄⫏≰110100121)∊∟⩊(≻⋜⫏≰22212100))⇡⇂((⨆≐≲⫏≰20012020)⨳⩥⨓(⊽⫏≰1110100))","cot":[{"info":"⫏≰100100210∪⫐⫏≰100212012=⫏≰100100210","layer":3},{"info":"⇨⫏≰100100210=⫏≰0","layer":2},{"info":"⫏≰2222100⨫⇇↔⫏≰1110100=⫏≰-201112","layer":3},{"info":"⫓⪴⫏≰-201112=⫏≰112002222021","layer":2},{"info":"⫏≰0⨜⨶⫏≰112002222021=⫏≰-1001012121001","layer":1},{"info":"⫏≰20101000⪄⫏≰110100121=⫏≰-1100112212112","layer":3},{"info":"≻⋜⫏≰22212100=NaN","layer":3},{"info":"⫏≰-1100112212112∊∟⩊NaN=⫏≰1001","layer":2},{"info":"⨆≐≲⫏≰20012020=⫏≰10102100110021220","layer":3},{"info":"⊽⫏≰1110100=⫏≰12000001","layer":3},{"info":"⫏≰10102100110021220⨳⩥⨓⫏≰12000001=⫏≰-10102100021021212","layer":2},{"info":"⫏≰1001⇡⇂⫏≰-10102100021021212=⫏≰-1011","layer":1},{"info":"⫏≰-1001012121001≬⋮⫏≰-1011=⫏≰1012011","layer":0}]}
{"id":580,"expression_no_base_symbol":"⊤⊝(⨰⫟⨤$1741$∛$7417$)⋥≓≎(∂⩏⊆$1650$)⨎($1750$⋳⪒$1624$)","expression":"⊤⊝(⨰⫟⨤⫏≰2101111∛⫏≰101011201)⋥≓≎(∂⩏⊆⫏≰2021010)⨎(⫏≰2101211⋳⪒⫏≰2020011)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3689,"operation_count":7,"complexity_ratio":527.0,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1741,"base":3},"right_expr":{"type":"numeric_atoms","value":7417,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1650,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1750,"base":3},"right_expr":{"type":"numeric_atoms","value":1624,"base":3}}}}},"used_operators":["rXAclfmB4M","Qy55tPpLXF","Tw270M8GLb","w2537kitQq","rJVOvQCfKK","8WDwsbhb0R","12rbrZMWeM"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-1121010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=7417","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=7417, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-5029","layer":3},{"info":"number node, value=1750","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=1624, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1589","layer":3},{"info":"compute binary expreesion, left_input=-5029, right_input=1589, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1589","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1589, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-1164","layer":0}],"base":3,"result_base":3,"text":"⊤⊝(⨰⫟⨤⫏≰2101111∛⫏≰101011201)⋥≓≎(∂⩏⊆⫏≰2021010)⨎(⫏≰2101211⋳⪒⫏≰2020011)=⫏≰-1121010","reverse_text":"⫏≰-1121010=⊤⊝(⨰⫟⨤⫏≰2101111∛⫏≰101011201)⋥≓≎(∂⩏⊆⫏≰2021010)⨎(⫏≰2101211⋳⪒⫏≰2020011)","cot":[{"info":"⫏≰2101111∛⫏≰101011201=⫏≰-220211","layer":3},{"info":"⨰⫟⨤⫏≰-220211=NaN","layer":2},{"info":"∂⩏⊆⫏≰2021010=⫏≰-20220021","layer":3},{"info":"⫏≰2101211⋳⪒⫏≰2020011=⫏≰2011212","layer":3},{"info":"⫏≰-20220021⨎⫏≰2011212=⫏≰2011212","layer":2},{"info":"NaN⋥≓≎⫏≰2011212=⫏≰2111","layer":1},{"info":"⊤⊝⫏≰2111=⫏≰-1121010","layer":0}]}
{"id":581,"expression_no_base_symbol":"((↨(⩎⋉$6918$))⇴∐($5044$↢$1335$)↤⩊($1867$⪭$5516$))⩠","expression":"((↨(⩎⋉⫏≰100111020))⇴∐(⫏≰20220211↢⫏≰1211110)↤⩊(⫏≰2120011⪭⫏≰21120022))⩠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":474,"operation_count":7,"complexity_ratio":67.71428571428571,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6918,"base":3}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":5044,"base":3},"right_expr":{"type":"numeric_atoms","value":1335,"base":3}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1867,"base":3},"right_expr":{"type":"numeric_atoms","value":5516,"base":3}}}}},"used_operators":["sJAwomhLZr","HnzytWxmAO","jiX4gk2v2Q","FlXk3pOYe8","13rbtpv6ld","WR6HLWljOP","j9kHMeSvPp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rGHVDoGpnC","oZj3VtZNQx","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=6918","layer":4},{"info":"compute unary expreesion, input=6918, 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":3},{"info":"compute unary expreesion, input=1650, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=5044","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=5044, right_input=1335, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4560","layer":3},{"info":"number node, value=1867","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=5516, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=4560, right_input=5, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↨(⩎⋉⫏≰100111020))⇴∐(⫏≰20220211↢⫏≰1211110)↤⩊(⫏≰2120011⪭⫏≰21120022))⩠=NaN","reverse_text":"NaN=((↨(⩎⋉⫏≰100111020))⇴∐(⫏≰20220211↢⫏≰1211110)↤⩊(⫏≰2120011⪭⫏≰21120022))⩠","cot":[{"info":"⩎⋉⫏≰100111020=⫏≰2021010","layer":3},{"info":"↨⫏≰2021010=NaN","layer":2},{"info":"⫏≰20220211↢⫏≰1211110=⫏≰20020220","layer":3},{"info":"⫏≰2120011⪭⫏≰21120022=⫏≰12","layer":3},{"info":"⫏≰20020220↤⩊⫏≰12=NaN","layer":2},{"info":"NaN⇴∐NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":582,"expression_no_base_symbol":"((($1823$⊍⩺⋍$1184$)%$4050$⫥∨⫟$4429$)≚⊃≕($1985$⇟⨁⪰)⋥⋵⩄($2051$+⪬∐$1769$))⨔⇊(($6613$↸$1856$)↙(≸$2157$)⊍⩺⋍($2348$⪁$8716$)⪔⊥$1875$⪬$1067$)","expression":"(((⫏≰2111112⊍⩺⋍⫏≰1121212)%⫏≰12120000⫥∨⫟⫏≰20002001)≚⊃≕(⫏≰2201112⇟⨁⪰)⋥⋵⩄(⫏≰2210222+⪬∐⫏≰2102112))⨔⇊((⫏≰100001221↸⫏≰2112202)↙(≸⫏≰2221220)⊍⩺⋍(⫏≰10012222⪁⫏≰102221211)⪔⊥⫏≰2120110⪬⫏≰1110112)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":14299,"operation_count":15,"complexity_ratio":953.2666666666667,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1823,"base":3},"right_expr":{"type":"numeric_atoms","value":1184,"base":3}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4050,"base":3},"right_expr":{"type":"numeric_atoms","value":4429,"base":3}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1985,"base":3}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2051,"base":3},"right_expr":{"type":"numeric_atoms","value":1769,"base":3}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":6613,"base":3},"right_expr":{"type":"numeric_atoms","value":1856,"base":3}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2157,"base":3}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2348,"base":3},"right_expr":{"type":"numeric_atoms","value":8716,"base":3}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1875,"base":3},"right_expr":{"type":"numeric_atoms","value":1067,"base":3}}}}},"used_operators":["JclMnS0uGI","Bmrmz2XGnR","k8jYdgA6NY","OXDGMFPWZM","KYD54nUTWz","7t3wd0Fuz7","BX1lVwlMe0","2GS7woTJqF","yyfyN0ffXY","1eCjFl0mb9","eOf03JbCpp","HJ9erzHUuu","I7sXao9hZE","Ez1Nq5fNfI"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","8HhzD0ZcuI","rGHVDoGpnC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1823","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=1184, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=4050","layer":4},{"info":"number node, value=4429","layer":4},{"info":"compute binary expreesion, left_input=4050, right_input=4429, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1985","layer":4},{"info":"compute unary expreesion, input=1985, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-2159","layer":3},{"info":"number node, value=2051","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=1769, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6153","layer":3},{"info":"compute binary expreesion, left_input=-2159, right_input=-6153, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=64304","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=64304, 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":"number node, value=6613","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=6613, right_input=1856, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6613","layer":3},{"info":"number node, value=2157","layer":4},{"info":"compute unary expreesion, input=2157, 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":3},{"info":"compute binary expreesion, left_input=6613, right_input=58, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-174","layer":2},{"info":"number node, value=2348","layer":4},{"info":"number node, value=8716","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=8716, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1875","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=1067, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2111112⊍⩺⋍⫏≰1121212)%⫏≰12120000⫥∨⫟⫏≰20002001)≚⊃≕(⫏≰2201112⇟⨁⪰)⋥⋵⩄(⫏≰2210222+⪬∐⫏≰2102112))⨔⇊((⫏≰100001221↸⫏≰2112202)↙(≸⫏≰2221220)⊍⩺⋍(⫏≰10012222⪁⫏≰102221211)⪔⊥⫏≰2120110⪬⫏≰1110112)=NaN","reverse_text":"NaN=(((⫏≰2111112⊍⩺⋍⫏≰1121212)%⫏≰12120000⫥∨⫟⫏≰20002001)≚⊃≕(⫏≰2201112⇟⨁⪰)⋥⋵⩄(⫏≰2210222+⪬∐⫏≰2102112))⨔⇊((⫏≰100001221↸⫏≰2112202)↙(≸⫏≰2221220)⊍⩺⋍(⫏≰10012222⪁⫏≰102221211)⪔⊥⫏≰2120110⪬⫏≰1110112)","cot":[{"info":"⫏≰2111112⊍⩺⋍⫏≰1121212=NaN","layer":3},{"info":"⫏≰12120000⫥∨⫟⫏≰20002001=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⫏≰2201112⇟⨁⪰=⫏≰-2221222","layer":3},{"info":"⫏≰2210222+⪬∐⫏≰2102112=⫏≰-22102220","layer":3},{"info":"⫏≰-2221222⋥⋵⩄⫏≰-22102220=⫏≰10021012122","layer":2},{"info":"NaN≚⊃≕⫏≰10021012122=⫏≰2111","layer":1},{"info":"⫏≰100001221↸⫏≰2112202=⫏≰100001221","layer":3},{"info":"≸⫏≰2221220=⫏≰2011","layer":3},{"info":"⫏≰100001221↙⫏≰2011=⫏≰-20110","layer":2},{"info":"⫏≰10012222⪁⫏≰102221211=NaN","layer":3},{"info":"⫏≰2120110⪬⫏≰1110112=⫏≰1200201","layer":3},{"info":"NaN⪔⊥⫏≰1200201=NaN","layer":2},{"info":"⫏≰-20110⊍⩺⋍NaN=NaN","layer":1},{"info":"⫏≰2111⨔⇊NaN=NaN","layer":0}]}
{"id":583,"expression_no_base_symbol":"((⨦⪝$4696$)↼⊘⨖($1062$∙⊟$2127$))⪒⊣⊆(⇖($5146$∙⊟$3375$))↳∿⪆(($2394$⫒⫫$1206$⨭⪣(⪓⩚$4388$))+⪬∐(⪝⪂⫅$2776$≠≀$1711$))","expression":"((⨦⪝⫏≰20102221)↼⊘⨖(⫏≰1110100∙⊟⫏≰2220210))⪒⊣⊆(⇖(⫏≰21001121∙⊟⫏≰11122000))↳∿⪆((⫏≰10021200⫒⫫⫏≰1122200⨭⪣(⪓⩚⫏≰20000112))+⪬∐(⪝⪂⫅⫏≰10210211≠≀⫏≰2100101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12298,"operation_count":13,"complexity_ratio":946.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":4696,"base":3}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1062,"base":3},"right_expr":{"type":"numeric_atoms","value":2127,"base":3}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5146,"base":3},"right_expr":{"type":"numeric_atoms","value":3375,"base":3}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2394,"base":3},"right_expr":{"type":"numeric_atoms","value":1206,"base":3}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":4388,"base":3}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2776,"base":3},"right_expr":{"type":"numeric_atoms","value":1711,"base":3}}}}},"used_operators":["Cw4SuJJGHO","eRqsBgTDFp","bPywburJMS","SUjycxNXIR","SxTAKzQCrw","tfWHHpNKUN","2GS7woTJqF","kn8WO9XteQ","6Ko8hGgeMq","u0R0Locfp2","XTarYq4gQB","IwW236VD4Y"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2DQ55sFlQl","g55IO6H4Gj","D4vGDi5EA2","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9HNa5Wba9A","8w2t5hMYqp","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4696","layer":4},{"info":"compute unary expreesion, input=4696, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=2127, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=23652","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=23652, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=47082","layer":2},{"info":"number node, value=5146","layer":4},{"info":"number node, value=3375","layer":4},{"info":"compute binary expreesion, left_input=5146, right_input=3375, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=76744","layer":3},{"info":"compute unary expreesion, input=76744, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=47082, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=94164","layer":1},{"info":"number node, value=2394","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=1206, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=4388","layer":4},{"info":"compute unary expreesion, input=4388, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=426, 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":2},{"info":"number node, value=2776","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=1711, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5246","layer":3},{"info":"compute unary expreesion, input=-5246, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=771162","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=771162, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=94164, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨦⪝⫏≰20102221)↼⊘⨖(⫏≰1110100∙⊟⫏≰2220210))⪒⊣⊆(⇖(⫏≰21001121∙⊟⫏≰11122000))↳∿⪆((⫏≰10021200⫒⫫⫏≰1122200⨭⪣(⪓⩚⫏≰20000112))+⪬∐(⪝⪂⫅⫏≰10210211≠≀⫏≰2100101))=NaN","reverse_text":"NaN=((⨦⪝⫏≰20102221)↼⊘⨖(⫏≰1110100∙⊟⫏≰2220210))⪒⊣⊆(⇖(⫏≰21001121∙⊟⫏≰11122000))↳∿⪆((⫏≰10021200⫒⫫⫏≰1122200⨭⪣(⪓⩚⫏≰20000112))+⪬∐(⪝⪂⫅⫏≰10210211≠≀⫏≰2100101))","cot":[{"info":"⨦⪝⫏≰20102221=⫏≰-2120210","layer":3},{"info":"⫏≰1110100∙⊟⫏≰2220210=⫏≰1012110000","layer":3},{"info":"⫏≰-2120210↼⊘⨖⫏≰1012110000=⫏≰2101120210","layer":2},{"info":"⫏≰21001121∙⊟⫏≰11122000=⫏≰10220021101","layer":3},{"info":"⇖⫏≰10220021101=⫏≰12221","layer":2},{"info":"⫏≰2101120210⪒⊣⊆⫏≰12221=⫏≰11210011120","layer":1},{"info":"⫏≰10021200⫒⫫⫏≰1122200=NaN","layer":3},{"info":"⪓⩚⫏≰20000112=⫏≰120210","layer":3},{"info":"NaN⨭⪣⫏≰120210=NaN","layer":2},{"info":"⫏≰10210211≠≀⫏≰2100101=⫏≰-21012022","layer":3},{"info":"⪝⪂⫅⫏≰-21012022=⫏≰1110011211120","layer":2},{"info":"NaN+⪬∐⫏≰1110011211120=NaN","layer":1},{"info":"⫏≰11210011120↳∿⪆NaN=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"(⪲⇎$4990$)⨔⇊($2122$⩚⊴⇥$1464$)⪕(⫶⊄≣$1231$)⩖⊿($2955$⋝⋈⪟$2288$)⫃⨇(($5134$→⨶⪴$1986$)⋥⋵⩄(≅≯⇸$1086$)⇗⋫)","expression":"(⪲⇎⫏≰20211211)⨔⇊(⫏≰2220121⩚⊴⇥⫏≰2000020)⪕(⫶⊄≣⫏≰1200121)⩖⊿(⫏≰11001110⋝⋈⪟⫏≰10010202)⫃⨇((⫏≰21001011→⨶⪴⫏≰2201120)⋥⋵⩄(≅≯⇸⫏≰1111020)⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1384,"operation_count":12,"complexity_ratio":115.33333333333333,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4990,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2122,"base":3},"right_expr":{"type":"numeric_atoms","value":1464,"base":3}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1231,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2955,"base":3},"right_expr":{"type":"numeric_atoms","value":2288,"base":3}}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5134,"base":3},"right_expr":{"type":"numeric_atoms","value":1986,"base":3}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1086,"base":3}}}}},"used_operators":["09Ly4LVMIf","umQnsF7QlU","JclMnS0uGI","XPYlsWDdGa","NTOWxs364D","RZ5CV9rWsJ","wxb3vTeyAj","2DDjHMKMc0","hpqmaQFPrd","7t3wd0Fuz7","bF6eod5Gvf","apS25hmuAe"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","8w2t5hMYqp","9FxExcQeMw","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4990","layer":4},{"info":"compute unary expreesion, input=4990, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9980","layer":3},{"info":"number node, value=2122","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=2122, right_input=1464, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3707","layer":3},{"info":"compute binary expreesion, left_input=9980, right_input=-3707, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"number node, value=1231","layer":4},{"info":"compute unary expreesion, input=1231, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=27295345","layer":3},{"info":"number node, value=2955","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=2955, right_input=2288, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2955","layer":3},{"info":"compute binary expreesion, left_input=27295345, right_input=2955, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-109157822","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-109157822, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=5134","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=5134, right_input=1986, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5958","layer":3},{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=12021","layer":3},{"info":"compute binary expreesion, left_input=-5958, right_input=12021, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪲⇎⫏≰20211211)⨔⇊(⫏≰2220121⩚⊴⇥⫏≰2000020)⪕(⫶⊄≣⫏≰1200121)⩖⊿(⫏≰11001110⋝⋈⪟⫏≰10010202)⫃⨇((⫏≰21001011→⨶⪴⫏≰2201120)⋥⋵⩄(≅≯⇸⫏≰1111020)⇗⋫)=NaN","reverse_text":"NaN=(⪲⇎⫏≰20211211)⨔⇊(⫏≰2220121⩚⊴⇥⫏≰2000020)⪕(⫶⊄≣⫏≰1200121)⩖⊿(⫏≰11001110⋝⋈⪟⫏≰10010202)⫃⨇((⫏≰21001011→⨶⪴⫏≰2201120)⋥⋵⩄(≅≯⇸⫏≰1111020)⇗⋫)","cot":[{"info":"⪲⇎⫏≰20211211=⫏≰111200122","layer":3},{"info":"⫏≰2220121⩚⊴⇥⫏≰2000020=⫏≰-12002022","layer":3},{"info":"⫏≰111200122⨔⇊⫏≰-12002022=⫏≰2111","layer":2},{"info":"⫶⊄≣⫏≰1200121=⫏≰1220100202011201","layer":3},{"info":"⫏≰11001110⋝⋈⪟⫏≰10010202=⫏≰11001110","layer":3},{"info":"⫏≰1220100202011201⩖⊿⫏≰11001110=⫏≰-21121101210101022","layer":2},{"info":"⫏≰2111⪕⫏≰-21121101210101022=⫏≰1021122","layer":1},{"info":"⫏≰21001011→⨶⪴⫏≰2201120=⫏≰-22011200","layer":3},{"info":"≅≯⇸⫏≰1111020=⫏≰121111020","layer":3},{"info":"⫏≰-22011200⋥⋵⩄⫏≰121111020=⫏≰11012","layer":2},{"info":"⫏≰11012⇗⋫=NaN","layer":1},{"info":"⫏≰1021122⫃⨇NaN=NaN","layer":0}]}
{"id":585,"expression_no_base_symbol":"⊗((↔$3482$)≃(⊑$1012$)⫰⋱($5449$⨼⩣$2396$)∓⋝$6479$⫯⪬∳$5730$)","expression":"⊗((↔⫏≰11202222)≃(⊑⫏≰1101111)⫰⋱(⫏≰21110211⨼⩣⫏≰10021202)∓⋝⫏≰22212222⫯⪬∳⫏≰21212020)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":878,"operation_count":8,"complexity_ratio":109.75,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3482,"base":3}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1012,"base":3}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5449,"base":3},"right_expr":{"type":"numeric_atoms","value":2396,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6479,"base":3},"right_expr":{"type":"numeric_atoms","value":5730,"base":3}}}}},"used_operators":["RhiyfpczSx","6o9Blt3TJ6","YbVcJGFEVW","ruOEQAzv1W","IkUmn0D7oy","PoHhknlbAi","JxwMv5le6e","d7ASUq0ydm"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⫏≰-11112011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3482","layer":4},{"info":"compute unary expreesion, input=3482, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3209","layer":3},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-3209, right_input=192, 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=-1616","layer":2},{"info":"number node, value=5449","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=5449, right_input=2396, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=6479","layer":4},{"info":"number node, value=5730","layer":4},{"info":"compute binary expreesion, left_input=6479, right_input=5730, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=26698","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=26698, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1616, right_input=67, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=1649","layer":1},{"info":"compute unary expreesion, input=1649, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3298","layer":0}],"base":3,"result_base":3,"text":"⊗((↔⫏≰11202222)≃(⊑⫏≰1101111)⫰⋱(⫏≰21110211⨼⩣⫏≰10021202)∓⋝⫏≰22212222⫯⪬∳⫏≰21212020)=⫏≰-11112011","reverse_text":"⫏≰-11112011=⊗((↔⫏≰11202222)≃(⊑⫏≰1101111)⫰⋱(⫏≰21110211⨼⩣⫏≰10021202)∓⋝⫏≰22212222⫯⪬∳⫏≰21212020)","cot":[{"info":"↔⫏≰11202222=⫏≰-11101212","layer":3},{"info":"⊑⫏≰1101111=⫏≰21010","layer":3},{"info":"⫏≰-11101212≃⫏≰21010=⫏≰-2012212","layer":2},{"info":"⫏≰21110211⨼⩣⫏≰10021202=NaN","layer":3},{"info":"⫏≰22212222⫯⪬∳⫏≰21212020=⫏≰1100121211","layer":3},{"info":"NaN∓⋝⫏≰1100121211=⫏≰2111","layer":2},{"info":"⫏≰-2012212⫰⋱⫏≰2111=⫏≰2021002","layer":1},{"info":"⊗⫏≰2021002=⫏≰-11112011","layer":0}]}
{"id":586,"expression_no_base_symbol":"(($1083$⪛⫼$2469$↛⩡⫤)⫉⨲⊜(($1320$⋆⋳)⨚$1122$↢$2290$))⪔⊥(($1686$≠≀$4566$↪⪝)≭(⨰⫟⨤($1424$⋫)))","expression":"((⫏≰1111010⪛⫼⫏≰10101110↛⩡⫤)⫉⨲⊜((⫏≰1210220⋆⋳)⨚⫏≰1112120↢⫏≰10010211))⪔⊥((⫏≰2022110≠≀⫏≰20021010↪⪝)≭(⨰⫟⨤(⫏≰1221202⋫)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10197,"operation_count":12,"complexity_ratio":849.75,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1083,"base":3},"right_expr":{"type":"numeric_atoms","value":2469,"base":3}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1320,"base":3}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1122,"base":3},"right_expr":{"type":"numeric_atoms","value":2290,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1686,"base":3},"right_expr":{"type":"numeric_atoms","value":4566,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1424,"base":3}}}}},"used_operators":["HJ9erzHUuu","WhqkvtTD3t","FU0Cs4j7VP","hyuBjUqXlG","nREPSIbpBE","6MpZysEj17","WR6HLWljOP","rxpJgHHUmx","l07mrZUIn9","IwW236VD4Y","Tw270M8GLb","JL8yIekQnl"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eewbuw0ToL","zVYPLywUTj","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=2469, 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":3},{"info":"compute unary expreesion, input=968, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-142257","layer":2},{"info":"number node, value=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2672","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2290, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=638","layer":3},{"info":"compute binary expreesion, left_input=-2672, right_input=638, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-6962","layer":2},{"info":"compute binary expreesion, left_input=-142257, right_input=-6962, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-7072","layer":1},{"info":"number node, value=1686","layer":4},{"info":"number node, value=4566","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=4566, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3066","layer":3},{"info":"compute unary expreesion, input=-3066, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-187584012","layer":2},{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1424","layer":3},{"info":"compute unary expreesion, input=1424, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-187584012, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7072, right_input=nan, 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":3,"result_base":3,"text":"((⫏≰1111010⪛⫼⫏≰10101110↛⩡⫤)⫉⨲⊜((⫏≰1210220⋆⋳)⨚⫏≰1112120↢⫏≰10010211))⪔⊥((⫏≰2022110≠≀⫏≰20021010↪⪝)≭(⨰⫟⨤(⫏≰1221202⋫)))=NaN","reverse_text":"NaN=((⫏≰1111010⪛⫼⫏≰10101110↛⩡⫤)⫉⨲⊜((⫏≰1210220⋆⋳)⨚⫏≰1112120↢⫏≰10010211))⪔⊥((⫏≰2022110≠≀⫏≰20021010↪⪝)≭(⨰⫟⨤(⫏≰1221202⋫)))","cot":[{"info":"⫏≰1111010⪛⫼⫏≰10101110=⫏≰1022212","layer":3},{"info":"⫏≰1022212↛⩡⫤=⫏≰-21020010210","layer":2},{"info":"⫏≰1210220⋆⋳=⫏≰-10122222","layer":3},{"info":"⫏≰1112120↢⫏≰10010211=⫏≰212122","layer":3},{"info":"⫏≰-10122222⨚⫏≰212122=⫏≰-100112212","layer":2},{"info":"⫏≰-21020010210⫉⨲⊜⫏≰-100112212=⫏≰-100200221","layer":1},{"info":"⫏≰2022110≠≀⫏≰20021010=⫏≰-11012120","layer":3},{"info":"⫏≰-11012120↪⪝=⫏≰-111001222020220000","layer":2},{"info":"⫏≰1221202⋫=⫏≰1221202","layer":3},{"info":"⨰⫟⨤⫏≰1221202=NaN","layer":2},{"info":"⫏≰-111001222020220000≭NaN=NaN","layer":1},{"info":"⫏≰-100200221⪔⊥NaN=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"↨⩢⫨($5113$⨂≜$1258$⨚⇆(↩$4425$)⊋≦⊧(⨵≀≌$2669$)⇌⫙⪟$1006$∊∟⩊$2436$)","expression":"↨⩢⫨(⫏≰21000101⨂≜⫏≰1201121⨚⇆(↩⫏≰20001220)⊋≦⊧(⨵≀≌⫏≰10122212)⇌⫙⪟⫏≰1101021∊∟⩊⫏≰10100020)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5300,"operation_count":8,"complexity_ratio":662.5,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5113,"base":3},"right_expr":{"type":"numeric_atoms","value":1258,"base":3}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4425,"base":3}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2669,"base":3}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":2436,"base":3}}}}},"used_operators":["Z5CJsN7DuW","oRDoc9rAEX","lwHaAYXP2r","k1SHOSEABc","jLgFTUHLKL","AFVx7xoS7T","srAu1WTS94","ddLRYrp01A"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5113","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=5113, right_input=1258, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=4425","layer":4},{"info":"compute unary expreesion, input=4425, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-32620","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-32620, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=2669","layer":4},{"info":"compute unary expreesion, input=2669, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8007","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=2436","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=2436, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2436","layer":3},{"info":"compute binary expreesion, left_input=-8007, right_input=2436, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, 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":1},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":3,"result_base":3,"text":"↨⩢⫨(⫏≰21000101⨂≜⫏≰1201121⨚⇆(↩⫏≰20001220)⊋≦⊧(⨵≀≌⫏≰10122212)⇌⫙⪟⫏≰1101021∊∟⩊⫏≰10100020)=⫏≰0","reverse_text":"⫏≰0=↨⩢⫨(⫏≰21000101⨂≜⫏≰1201121⨚⇆(↩⫏≰20001220)⊋≦⊧(⨵≀≌⫏≰10122212)⇌⫙⪟⫏≰1101021∊∟⩊⫏≰10100020)","cot":[{"info":"⫏≰21000101⨂≜⫏≰1201121=NaN","layer":3},{"info":"↩⫏≰20001220=⫏≰-1122202011","layer":3},{"info":"NaN⨚⇆⫏≰-1122202011=NaN","layer":2},{"info":"⨵≀≌⫏≰10122212=⫏≰-101222120","layer":3},{"info":"⫏≰1101021∊∟⩊⫏≰10100020=⫏≰10100020","layer":3},{"info":"⫏≰-101222120⇌⫙⪟⫏≰10100020=⫏≰11012","layer":2},{"info":"NaN⊋≦⊧⫏≰11012=NaN","layer":1},{"info":"↨⩢⫨NaN=⫏≰0","layer":0}]}
{"id":588,"expression_no_base_symbol":"(⇁⨣⪵(↯⪼$3104$↳≱$2095$))⇣⩺⋵(⊄⩳↩($1464$⫰⋱$4201$))⊢(($3736$↫)∪⫐(⪁⇼$7543$))","expression":"(⇁⨣⪵(↯⪼⫏≰11020222↳≱⫏≰2212121))⇣⩺⋵(⊄⩳↩(⫏≰2000020⫰⋱⫏≰12202121))⊢((⫏≰12010101↫)∪⫐(⪁⇼⫏≰101100101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":345,"operation_count":10,"complexity_ratio":34.5,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3104,"base":3},"right_expr":{"type":"numeric_atoms","value":2095,"base":3}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1464,"base":3},"right_expr":{"type":"numeric_atoms","value":4201,"base":3}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":3736,"base":3}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":7543,"base":3}}}}},"used_operators":["F4yD0voBRQ","inkyxCbjAn","8jW3W4yZS5","JwTKLfZU96","5twsqlHp2o","8w2t5hMYqp","6o9Blt3TJ6","7YooWSwCyH","uPb5QRN0te","ZNVVrZ94lY"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","B5M0gjZbta","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rJVOvQCfKK","2DDjHMKMc0","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"⫏≰-100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3104","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=3104, right_input=2095, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"number node, value=1464","layer":4},{"info":"number node, value=4201","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=4201, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1431","layer":3},{"info":"compute unary expreesion, input=-1431, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=4293","layer":2},{"info":"number node, value=3736","layer":4},{"info":"compute unary expreesion, input=3736, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=7543","layer":4},{"info":"compute unary expreesion, input=7543, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=422, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=4293, right_input=160, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8830","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-8830, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵(↯⪼⫏≰11020222↳≱⫏≰2212121))⇣⩺⋵(⊄⩳↩(⫏≰2000020⫰⋱⫏≰12202121))⊢((⫏≰12010101↫)∪⫐(⪁⇼⫏≰101100101))=⫏≰-100122","reverse_text":"⫏≰-100122=(⇁⨣⪵(↯⪼⫏≰11020222↳≱⫏≰2212121))⇣⩺⋵(⊄⩳↩(⫏≰2000020⫰⋱⫏≰12202121))⊢((⫏≰12010101↫)∪⫐(⪁⇼⫏≰101100101))","cot":[{"info":"⫏≰11020222↳≱⫏≰2212121=⫏≰0","layer":3},{"info":"↯⪼⫏≰0=⫏≰-210","layer":2},{"info":"⇁⨣⪵⫏≰-210=⫏≰0","layer":1},{"info":"⫏≰2000020⫰⋱⫏≰12202121=⫏≰-1222000","layer":3},{"info":"⊄⩳↩⫏≰-1222000=⫏≰12220000","layer":2},{"info":"⫏≰12010101↫=⫏≰12221","layer":3},{"info":"⪁⇼⫏≰101100101=⫏≰120122","layer":3},{"info":"⫏≰12221∪⫐⫏≰120122=⫏≰12221","layer":2},{"info":"⫏≰12220000⊢⫏≰12221=⫏≰-110010001","layer":1},{"info":"⫏≰0⇣⩺⋵⫏≰-110010001=⫏≰-100122","layer":0}]}
{"id":589,"expression_no_base_symbol":"(↑(($5411$∷$3176$)⫰⋱$6054$⪝$2541$))⋥≓≎($1048$⫢⨠$5677$)⨽∌($1492$⊉↱≁$1899$)∺≝⩲(⨈⫕$5090$≹⇙⪍$4340$)","expression":"(↑((⫏≰21102102∷⫏≰11100122)⫰⋱⫏≰22022020⪝⫏≰10111010))⋥≓≎(⫏≰1102211⫢⨠⫏≰21210021)⨽∌(⫏≰2001021⊉↱≁⫏≰2121100)∺≝⩲(⨈⫕⫏≰20222112≹⇙⪍⫏≰12221202)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1013,"operation_count":11,"complexity_ratio":92.0909090909091,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":5411,"base":3},"right_expr":{"type":"numeric_atoms","value":3176,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6054,"base":3},"right_expr":{"type":"numeric_atoms","value":2541,"base":3}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1048,"base":3},"right_expr":{"type":"numeric_atoms","value":5677,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1492,"base":3},"right_expr":{"type":"numeric_atoms","value":1899,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5090,"base":3},"right_expr":{"type":"numeric_atoms","value":4340,"base":3}}}}},"used_operators":["Qy55tPpLXF","tR7O2zTn5j","6o9Blt3TJ6","D3AQDKkPcf","wicAB68Tmb","KPf6cnQVty","9samAPKr6k","xlXykHWxX1","w2P8NbNXyL","megm06wKyl","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","NTOWxs364D","7j4O788W3g","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9"],"result":"⫏≰12222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5411","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=5411, right_input=3176, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3176","layer":3},{"info":"number node, value=6054","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=6054, right_input=2541, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-14451","layer":3},{"info":"compute binary expreesion, left_input=3176, right_input=-14451, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=11342","layer":2},{"info":"compute unary expreesion, input=11342, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=1048","layer":4},{"info":"number node, value=5677","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=5677, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=1899, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=2412","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2412, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=5090","layer":4},{"info":"number node, value=4340","layer":4},{"info":"compute binary expreesion, left_input=5090, right_input=4340, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=161","layer":0}],"base":3,"result_base":3,"text":"(↑((⫏≰21102102∷⫏≰11100122)⫰⋱⫏≰22022020⪝⫏≰10111010))⋥≓≎(⫏≰1102211⫢⨠⫏≰21210021)⨽∌(⫏≰2001021⊉↱≁⫏≰2121100)∺≝⩲(⨈⫕⫏≰20222112≹⇙⪍⫏≰12221202)=⫏≰12222","reverse_text":"⫏≰12222=(↑((⫏≰21102102∷⫏≰11100122)⫰⋱⫏≰22022020⪝⫏≰10111010))⋥≓≎(⫏≰1102211⫢⨠⫏≰21210021)⨽∌(⫏≰2001021⊉↱≁⫏≰2121100)∺≝⩲(⨈⫕⫏≰20222112≹⇙⪍⫏≰12221202)","cot":[{"info":"⫏≰21102102∷⫏≰11100122=⫏≰11100122","layer":3},{"info":"⫏≰22022020⪝⫏≰10111010=⫏≰-201211020","layer":3},{"info":"⫏≰11100122⫰⋱⫏≰-201211020=⫏≰120120002","layer":2},{"info":"↑⫏≰120120002=⫏≰21010","layer":1},{"info":"⫏≰1102211⫢⨠⫏≰21210021=⫏≰12221","layer":3},{"info":"⫏≰2001021⊉↱≁⫏≰2121100=⫏≰10022100","layer":3},{"info":"⫏≰12221⨽∌⫏≰10022100=⫏≰0","layer":2},{"info":"⫏≰20222112≹⇙⪍⫏≰12221202=NaN","layer":3},{"info":"⨈⫕NaN=⫏≰-210","layer":2},{"info":"⫏≰0∺≝⩲⫏≰-210=⫏≰12221","layer":1},{"info":"⫏≰21010⋥≓≎⫏≰12221=⫏≰12222","layer":0}]}
{"id":590,"expression_no_base_symbol":"((($3327$↸$6615$)⫲⨊)⇣⩺⋵(∂($3780$⪭≯$1182$)))⫒⫫($2288$⊕∕$1516$⫘($2971$⪍↜⋙$4915$)⫲≸⪮($1123$≹⇙⪍$1824$⨑≵⋬$1506$⪮%⊝$5912$))","expression":"(((⫏≰11120020↸⫏≰100002000)⫲⨊)⇣⩺⋵(∂(⫏≰12012000⪭≯⫏≰1121210)))⫒⫫(⫏≰10010202⊕∕⫏≰2002011⫘(⫏≰11002001⪍↜⋙⫏≰20202001)⫲≸⪮(⫏≰1112121≹⇙⪍⫏≰2111120⨑≵⋬⫏≰2001210⪮%⊝⫏≰22002222))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6168,"operation_count":13,"complexity_ratio":474.46153846153845,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3327,"base":3},"right_expr":{"type":"numeric_atoms","value":6615,"base":3}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3780,"base":3},"right_expr":{"type":"numeric_atoms","value":1182,"base":3}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2288,"base":3},"right_expr":{"type":"numeric_atoms","value":1516,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2971,"base":3},"right_expr":{"type":"numeric_atoms","value":4915,"base":3}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1123,"base":3},"right_expr":{"type":"numeric_atoms","value":1824,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1506,"base":3},"right_expr":{"type":"numeric_atoms","value":5912,"base":3}}}}},"used_operators":["6Ko8hGgeMq","F4yD0voBRQ","CArV6hThFE","1eCjFl0mb9","Uaa54Peajs","XAx5wpdLa6","P3lXMJvFrc","48vC8HMD2b","9cloC0Ngie","L05ObWFQCd","XnXgA4xnOs","AHs5Up7iyr","IWmyXbctLI"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3327","layer":4},{"info":"number node, value=6615","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=6615, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3327","layer":3},{"info":"compute unary expreesion, input=3327, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=17418","layer":2},{"info":"number node, value=3780","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=3780, right_input=1182, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17418, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=2288","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=1516, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2288","layer":3},{"info":"number node, value=2971","layer":4},{"info":"number node, value=4915","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=4915, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-25468","layer":3},{"info":"compute binary expreesion, left_input=2288, right_input=-25468, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2695093","layer":2},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1824, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1506","layer":4},{"info":"number node, value=5912","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=5912, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3328","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3328, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2695093, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰11120020↸⫏≰100002000)⫲⨊)⇣⩺⋵(∂(⫏≰12012000⪭≯⫏≰1121210)))⫒⫫(⫏≰10010202⊕∕⫏≰2002011⫘(⫏≰11002001⪍↜⋙⫏≰20202001)⫲≸⪮(⫏≰1112121≹⇙⪍⫏≰2111120⨑≵⋬⫏≰2001210⪮%⊝⫏≰22002222))=NaN","reverse_text":"NaN=(((⫏≰11120020↸⫏≰100002000)⫲⨊)⇣⩺⋵(∂(⫏≰12012000⪭≯⫏≰1121210)))⫒⫫(⫏≰10010202⊕∕⫏≰2002011⫘(⫏≰11002001⪍↜⋙⫏≰20202001)⫲≸⪮(⫏≰1112121≹⇙⪍⫏≰2111120⨑≵⋬⫏≰2001210⪮%⊝⫏≰22002222))","cot":[{"info":"⫏≰11120020↸⫏≰100002000=⫏≰11120020","layer":3},{"info":"⫏≰11120020⫲⨊=⫏≰212220010","layer":2},{"info":"⫏≰12012000⪭≯⫏≰1121210=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⫏≰212220010⇣⩺⋵NaN=⫏≰-100122","layer":1},{"info":"⫏≰10010202⊕∕⫏≰2002011=⫏≰10010202","layer":3},{"info":"⫏≰11002001⪍↜⋙⫏≰20202001=⫏≰-1021221021","layer":3},{"info":"⫏≰10010202⫘⫏≰-1021221021=⫏≰12001220222021","layer":2},{"info":"⫏≰1112121≹⇙⪍⫏≰2111120=NaN","layer":3},{"info":"⫏≰2001210⪮%⊝⫏≰22002222=⫏≰11120021","layer":3},{"info":"NaN⨑≵⋬⫏≰11120021=NaN","layer":2},{"info":"⫏≰12001220222021⫲≸⪮NaN=NaN","layer":1},{"info":"⫏≰-100122⫒⫫NaN=NaN","layer":0}]}
{"id":591,"expression_no_base_symbol":"($1315$↹⊜$3274$⪛$4433$⊉↱≁$1719$)⪔⊥(∥⊫$2719$≓∲$4497$)⊱⇼⊻(⫡⇟⇯(($1009$⫏⊷)⫸⊐$1237$⨸$3366$))","expression":"(⫏≰1210201↹⊜⫏≰11111021⪛⫏≰20002012⊉↱≁⫏≰2100200)⪔⊥(∥⊫⫏≰10201201≓∲⫏≰20011120)⊱⇼⊻(⫡⇟⇯((⫏≰1101101⫏⊷)⫸⊐⫏≰1200211⨸⫏≰11121200))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4710,"operation_count":11,"complexity_ratio":428.1818181818182,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1315,"base":3},"right_expr":{"type":"numeric_atoms","value":3274,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4433,"base":3},"right_expr":{"type":"numeric_atoms","value":1719,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2719,"base":3},"right_expr":{"type":"numeric_atoms","value":4497,"base":3}}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1009,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1237,"base":3},"right_expr":{"type":"numeric_atoms","value":3366,"base":3}}}}},"used_operators":["FyVja0WsTP","HJ9erzHUuu","uFcxV4UQCh","9bazX3JMtO","w2P8NbNXyL","P8v4zCKN1o","s1XTVnmDOJ","qWUSsah53b","mqXw5SEYmG","dcShxvzhyw","KmoU8R5UQR"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DZ8iAZOCBD","P8v4zCKN1o","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⫏≰121002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1315","layer":4},{"info":"number node, value=3274","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=3274, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-10562","layer":3},{"info":"number node, value=4433","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=4433, right_input=1719, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=33964","layer":3},{"info":"compute binary expreesion, left_input=-10562, right_input=33964, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=23402","layer":2},{"info":"number node, value=2719","layer":4},{"info":"number node, value=4497","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=4497, 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=27973","layer":3},{"info":"compute unary expreesion, input=27973, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=28841","layer":2},{"info":"compute binary expreesion, left_input=23402, right_input=28841, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=35727","layer":1},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=3366, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2474","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=2474, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2804","layer":1},{"info":"compute binary expreesion, left_input=35727, right_input=2804, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1210201↹⊜⫏≰11111021⪛⫏≰20002012⊉↱≁⫏≰2100200)⪔⊥(∥⊫⫏≰10201201≓∲⫏≰20011120)⊱⇼⊻(⫡⇟⇯((⫏≰1101101⫏⊷)⫸⊐⫏≰1200211⨸⫏≰11121200))=⫏≰121002","reverse_text":"⫏≰121002=(⫏≰1210201↹⊜⫏≰11111021⪛⫏≰20002012⊉↱≁⫏≰2100200)⪔⊥(∥⊫⫏≰10201201≓∲⫏≰20011120)⊱⇼⊻(⫡⇟⇯((⫏≰1101101⫏⊷)⫸⊐⫏≰1200211⨸⫏≰11121200))","cot":[{"info":"⫏≰1210201↹⊜⫏≰11111021=⫏≰-112111012","layer":3},{"info":"⫏≰20002012⊉↱≁⫏≰2100200=⫏≰1201120221","layer":3},{"info":"⫏≰-112111012⪛⫏≰1201120221=⫏≰1012002202","layer":2},{"info":"⫏≰10201201≓∲⫏≰20011120=⫏≰1102101001","layer":3},{"info":"∥⊫⫏≰1102101001=⫏≰1110120012","layer":2},{"info":"⫏≰1012002202⪔⊥⫏≰1110120012=⫏≰1211000020","layer":1},{"info":"⫏≰1101101⫏⊷=⫏≰-1010101","layer":3},{"info":"⫏≰1200211⨸⫏≰11121200=⫏≰10101122","layer":3},{"info":"⫏≰-1010101⫸⊐⫏≰10101122=⫏≰1022212","layer":2},{"info":"⫡⇟⇯⫏≰1022212=⫏≰10211212","layer":1},{"info":"⫏≰1211000020⊱⇼⊻⫏≰10211212=⫏≰121002","layer":0}]}
{"id":592,"expression_no_base_symbol":"(($2155$⪛⫼$2801$)⪍↜⋙($3679$⪨≂$2633$)⩹(($1183$∠↢$9082$)⪓⨏))⊿∆","expression":"((⫏≰2221211⪛⫼⫏≰10211202)⪍↜⋙(⫏≰12001021⪨≂⫏≰10121112)⩹((⫏≰1121211∠↢⫏≰110110101)⪓⨏))⊿∆","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":131139,"operation_count":7,"complexity_ratio":18734.14285714286,"tree":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2155,"base":3},"right_expr":{"type":"numeric_atoms","value":2801,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3679,"base":3},"right_expr":{"type":"numeric_atoms","value":2633,"base":3}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1183,"base":3},"right_expr":{"type":"numeric_atoms","value":9082,"base":3}}}}},"used_operators":["fv3ZujxkQL","2Wsdkap16l","L05ObWFQCd","hyuBjUqXlG","sdazOOVcIp","4X9JU4Jbn6","KbjG8mgYpV"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2155","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=2155, right_input=2801, 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":3},{"info":"number node, value=3679","layer":4},{"info":"number node, value=2633","layer":4},{"info":"compute binary expreesion, left_input=3679, right_input=2633, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2194","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=2194, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-10011","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=9082","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=9082, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-130798","layer":3},{"info":"compute unary expreesion, input=-130798, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10011, right_input=nan, 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=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2221211⪛⫼⫏≰10211202)⪍↜⋙(⫏≰12001021⪨≂⫏≰10121112)⩹((⫏≰1121211∠↢⫏≰110110101)⪓⨏))⊿∆=NaN","reverse_text":"NaN=((⫏≰2221211⪛⫼⫏≰10211202)⪍↜⋙(⫏≰12001021⪨≂⫏≰10121112)⩹((⫏≰1121211∠↢⫏≰110110101)⪓⨏))⊿∆","cot":[{"info":"⫏≰2221211⪛⫼⫏≰10211202=⫏≰1022212","layer":3},{"info":"⫏≰12001021⪨≂⫏≰10121112=⫏≰10000021","layer":3},{"info":"⫏≰1022212⪍↜⋙⫏≰10000021=⫏≰-111201210","layer":2},{"info":"⫏≰1121211∠↢⫏≰110110101=⫏≰-20122102101","layer":3},{"info":"⫏≰-20122102101⪓⨏=NaN","layer":2},{"info":"⫏≰-111201210⩹NaN=NaN","layer":1},{"info":"NaN⊿∆=NaN","layer":0}]}
{"id":593,"expression_no_base_symbol":"(⊢≑≆($1010$⩇∃⫛$3973$⪔($3318$⨸⪁$4760$)))⊍⩺⋍(⊖($4213$⪡$4610$)⪘⫢(∥⊫$3771$))","expression":"(⊢≑≆(⫏≰1101102⩇∃⫛⫏≰12110011⪔(⫏≰11112220⨸⪁⫏≰20112022)))⊍⩺⋍(⊖(⫏≰12210001⪡⫏≰20022202)⪘⫢(∥⊫⫏≰12011200))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16534,"operation_count":9,"complexity_ratio":1837.111111111111,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1010,"base":3},"right_expr":{"type":"numeric_atoms","value":3973,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3318,"base":3},"right_expr":{"type":"numeric_atoms","value":4760,"base":3}}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4213,"base":3},"right_expr":{"type":"numeric_atoms","value":4610,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3771,"base":3}}}}},"used_operators":["OXDGMFPWZM","27wFxooxGf","GjBEYRfMaF","1aApVXNlOP","g55IO6H4Gj","U6pG0PXrV3","oacrs7FA3X","oraRL2iQuh","P8v4zCKN1o"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=3973, 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=3436","layer":3},{"info":"number node, value=3318","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=3318, right_input=4760, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16156","layer":3},{"info":"compute binary expreesion, left_input=3436, right_input=16156, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute unary expreesion, input=450, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=2252","layer":1},{"info":"number node, value=4213","layer":4},{"info":"number node, value=4610","layer":4},{"info":"compute binary expreesion, left_input=4213, right_input=4610, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3771","layer":4},{"info":"compute unary expreesion, input=3771, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4639","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=4639, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=90","layer":2},{"info":"compute unary expreesion, input=90, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=-270","layer":1},{"info":"compute binary expreesion, left_input=2252, right_input=-270, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊢≑≆(⫏≰1101102⩇∃⫛⫏≰12110011⪔(⫏≰11112220⨸⪁⫏≰20112022)))⊍⩺⋍(⊖(⫏≰12210001⪡⫏≰20022202)⪘⫢(∥⊫⫏≰12011200))=NaN","reverse_text":"NaN=(⊢≑≆(⫏≰1101102⩇∃⫛⫏≰12110011⪔(⫏≰11112220⨸⪁⫏≰20112022)))⊍⩺⋍(⊖(⫏≰12210001⪡⫏≰20022202)⪘⫢(∥⊫⫏≰12011200))","cot":[{"info":"⫏≰1101102⩇∃⫛⫏≰12110011=⫏≰11201021","layer":3},{"info":"⫏≰11112220⨸⪁⫏≰20112022=⫏≰211011101","layer":3},{"info":"⫏≰11201021⪔⫏≰211011101=⫏≰121200","layer":2},{"info":"⊢≑≆⫏≰121200=⫏≰10002102","layer":1},{"info":"⫏≰12210001⪡⫏≰20022202=⫏≰10222","layer":3},{"info":"∥⊫⫏≰12011200=⫏≰20100211","layer":3},{"info":"⫏≰10222⪘⫢⫏≰20100211=⫏≰10100","layer":2},{"info":"⊖⫏≰10100=⫏≰-101000","layer":1},{"info":"⫏≰10002102⊍⩺⋍⫏≰-101000=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"⫯((⪁⇼(⨭⩧⫛$1426$))⫸⊐(↽≂$2081$)⨒$2347$⩌⋺$3422$)","expression":"⫯((⪁⇼(⨭⩧⫛⫏≰1221211))⫸⊐(↽≂⫏≰2212002)⨒⫏≰10012221⩌⋺⫏≰11200202)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":118,"operation_count":7,"complexity_ratio":16.857142857142858,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1426,"base":3}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2081,"base":3}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2347,"base":3},"right_expr":{"type":"numeric_atoms","value":3422,"base":3}}}}},"used_operators":["H6BK1Evt7c","mqXw5SEYmG","ZNVVrZ94lY","g21JL6JxX7","y75s1iXyHd","u6S6b8DprG","g7Hmc5v1ko"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":2},{"info":"number node, value=2081","layer":4},{"info":"compute unary expreesion, input=2081, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4162","layer":3},{"info":"number node, value=2347","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=3422, 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=-5890","layer":3},{"info":"compute binary expreesion, left_input=-4162, right_input=-5890, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫯((⪁⇼(⨭⩧⫛⫏≰1221211))⫸⊐(↽≂⫏≰2212002)⨒⫏≰10012221⩌⋺⫏≰11200202)=NaN","reverse_text":"NaN=⫯((⪁⇼(⨭⩧⫛⫏≰1221211))⫸⊐(↽≂⫏≰2212002)⨒⫏≰10012221⩌⋺⫏≰11200202)","cot":[{"info":"⨭⩧⫛⫏≰1221211=NaN","layer":3},{"info":"⪁⇼NaN=NaN","layer":2},{"info":"↽≂⫏≰2212002=⫏≰-12201011","layer":3},{"info":"⫏≰10012221⩌⋺⫏≰11200202=⫏≰-22002011","layer":3},{"info":"⫏≰-12201011⨒⫏≰-22002011=⫏≰1","layer":2},{"info":"NaN⫸⊐⫏≰1=NaN","layer":1},{"info":"⫯NaN=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"⊀(($5576$⇴∐$1909$⫡⨏$1035$*$4807$)≝⊰⇂)","expression":"⊀((⫏≰21122112⇴∐⫏≰2121201⫡⨏⫏≰1102100*⫏≰20121001)≝⊰⇂)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1996,"operation_count":5,"complexity_ratio":399.2,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5576,"base":3},"right_expr":{"type":"numeric_atoms","value":1909,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1035,"base":3},"right_expr":{"type":"numeric_atoms","value":4807,"base":3}}}}},"used_operators":["oPMjh9089D","htSmYCowi5","QMFrweE19q","HnzytWxmAO","9HNa5Wba9A"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","DlLNRPXxWL","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5576","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=5576, right_input=1909, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=4807","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=4807, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4975245","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4975245, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊀((⫏≰21122112⇴∐⫏≰2121201⫡⨏⫏≰1102100*⫏≰20121001)≝⊰⇂)=NaN","reverse_text":"NaN=⊀((⫏≰21122112⇴∐⫏≰2121201⫡⨏⫏≰1102100*⫏≰20121001)≝⊰⇂)","cot":[{"info":"⫏≰21122112⇴∐⫏≰2121201=NaN","layer":3},{"info":"⫏≰1102100*⫏≰20121001=⫏≰100100202202100","layer":3},{"info":"NaN⫡⨏⫏≰100100202202100=NaN","layer":2},{"info":"NaN≝⊰⇂=NaN","layer":1},{"info":"⊀NaN=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"((∓$1665$)∇⊂⋱($1377$⨑≵⋬$5466$)⇉⇉)↸$6761$≁↽≥$1268$⩖⊿($1321$⩘)⩚⊴⇥($2368$⪨⊡$1899$)⪚(⇨$4815$)","expression":"((∓⫏≰2021200)∇⊂⋱(⫏≰1220000⨑≵⋬⫏≰21111110)⇉⇉)↸⫏≰100021102≁↽≥⫏≰1201222⩖⊿(⫏≰1210221⩘)⩚⊴⇥(⫏≰10020201⪨⊡⫏≰2121100)⪚(⇨⫏≰20121100)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":380819,"operation_count":12,"complexity_ratio":31734.916666666668,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1665,"base":3}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1377,"base":3},"right_expr":{"type":"numeric_atoms","value":5466,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6761,"base":3},"right_expr":{"type":"numeric_atoms","value":1268,"base":3}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1321,"base":3}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2368,"base":3},"right_expr":{"type":"numeric_atoms","value":1899,"base":3}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4815,"base":3}}}}},"used_operators":["1eCjFl0mb9","diKm42VcIt","nhYeJWJD5X","OwUj7dcsQK","XnXgA4xnOs","NTOWxs364D","RZ5CV9rWsJ","ncHt1X6cMc","wvHyciQT5X","HrjLwUk87U","kuIXHzHcAH","G9tJMlZ94a"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","oWn0xqSxBt","3Oe9XWJUTD","9ICcGScMcE","dfKe02y8D2","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY"],"result":"⫏≰-21122112002222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1665","layer":4},{"info":"compute unary expreesion, input=1665, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-29847","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=5466","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=5466, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-29998","layer":3},{"info":"compute binary expreesion, left_input=-29847, right_input=-29998, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=59996","layer":2},{"info":"compute unary expreesion, input=59996, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-4064984","layer":1},{"info":"number node, value=6761","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=6761, right_input=1268, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=95201","layer":3},{"info":"number node, value=1321","layer":4},{"info":"compute unary expreesion, input=1321, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=95201, right_input=67, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-380350","layer":2},{"info":"number node, value=2368","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=1899, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4815","layer":4},{"info":"compute unary expreesion, input=4815, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-356","layer":2},{"info":"compute binary expreesion, left_input=-380350, right_input=-356, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=380585","layer":1},{"info":"compute binary expreesion, left_input=-4064984, right_input=380585, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-4064984","layer":0}],"base":3,"result_base":3,"text":"((∓⫏≰2021200)∇⊂⋱(⫏≰1220000⨑≵⋬⫏≰21111110)⇉⇉)↸⫏≰100021102≁↽≥⫏≰1201222⩖⊿(⫏≰1210221⩘)⩚⊴⇥(⫏≰10020201⪨⊡⫏≰2121100)⪚(⇨⫏≰20121100)=⫏≰-21122112002222","reverse_text":"⫏≰-21122112002222=((∓⫏≰2021200)∇⊂⋱(⫏≰1220000⨑≵⋬⫏≰21111110)⇉⇉)↸⫏≰100021102≁↽≥⫏≰1201222⩖⊿(⫏≰1210221⩘)⩚⊴⇥(⫏≰10020201⪨⊡⫏≰2121100)⪚(⇨⫏≰20121100)","cot":[{"info":"∓⫏≰2021200=⫏≰-1111221110","layer":3},{"info":"⫏≰1220000⨑≵⋬⫏≰21111110=⫏≰-1112011001","layer":3},{"info":"⫏≰-1111221110∇⊂⋱⫏≰-1112011001=⫏≰10001022002","layer":2},{"info":"⫏≰10001022002⇉⇉=⫏≰-21122112002222","layer":1},{"info":"⫏≰100021102≁↽≥⫏≰1201222=⫏≰11211120222","layer":3},{"info":"⫏≰1210221⩘=⫏≰2111","layer":3},{"info":"⫏≰11211120222⩖⊿⫏≰2111=⫏≰-201022202001","layer":2},{"info":"⫏≰10020201⪨⊡⫏≰2121100=⫏≰0","layer":3},{"info":"⇨⫏≰20121100=⫏≰0","layer":3},{"info":"⫏≰0⪚⫏≰0=⫏≰-111012","layer":2},{"info":"⫏≰-201022202001⩚⊴⇥⫏≰-111012=⫏≰201100001202","layer":1},{"info":"⫏≰-21122112002222↸⫏≰201100001202=⫏≰-21122112002222","layer":0}]}
{"id":597,"expression_no_base_symbol":"(∤$1683$⊮⊟↴$2027$)⪟⇏($7626$≦↸$5524$⩚⊴⇥(∐⩳⋚$2892$))⫃⨇($5942$∪⫐$3587$)↳∿⪆($1262$⋛$1814$)≨($3416$⫞⩸⩒$1141$⫃⨇$5679$↼⊘⨖$3159$)","expression":"(∤⫏≰2022100⊮⊟↴⫏≰2210002)⪟⇏(⫏≰101110110≦↸⫏≰21120121⩚⊴⇥(∐⩳⋚⫏≰10222010))⫃⨇(⫏≰22011002∪⫐⫏≰11220212)↳∿⪆(⫏≰1201202⋛⫏≰2111012)≨(⫏≰11200112⫞⩸⩒⫏≰1120021⫃⨇⫏≰21210100↼⊘⨖⫏≰11100000)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5370,"operation_count":14,"complexity_ratio":383.57142857142856,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1683,"base":3},"right_expr":{"type":"numeric_atoms","value":2027,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":7626,"base":3},"right_expr":{"type":"numeric_atoms","value":5524,"base":3}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2892,"base":3}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5942,"base":3},"right_expr":{"type":"numeric_atoms","value":3587,"base":3}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1262,"base":3},"right_expr":{"type":"numeric_atoms","value":1814,"base":3}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3416,"base":3},"right_expr":{"type":"numeric_atoms","value":1141,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5679,"base":3},"right_expr":{"type":"numeric_atoms","value":3159,"base":3}}}}},"used_operators":["09Ly4LVMIf","GODebY97qR","k2HlF1dBQh","QDVgd2eftb","NTOWxs364D","RygbFNSyEJ","SL6IHkK8vl","0KMCeP1Jsh","Cw4SuJJGHO","7YooWSwCyH","YbUVn0Rbpy","XGcMNugi78","bPywburJMS"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1683","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=2027, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=7626","layer":4},{"info":"number node, value=5524","layer":4},{"info":"compute binary expreesion, left_input=7626, right_input=5524, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-25619","layer":3},{"info":"number node, value=2892","layer":4},{"info":"compute unary expreesion, input=2892, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=418309","layer":3},{"info":"compute binary expreesion, left_input=-25619, right_input=418309, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-392811","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=-392811, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=5942","layer":4},{"info":"number node, value=3587","layer":4},{"info":"compute binary expreesion, left_input=5942, right_input=3587, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5942","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1814, 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=-120834","layer":3},{"info":"compute binary expreesion, left_input=5942, right_input=-120834, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3416","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=3416, right_input=1141, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1141","layer":3},{"info":"number node, value=5679","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=5679, right_input=3159, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6096","layer":3},{"info":"compute binary expreesion, left_input=1141, right_input=6096, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-24416","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24416, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(∤⫏≰2022100⊮⊟↴⫏≰2210002)⪟⇏(⫏≰101110110≦↸⫏≰21120121⩚⊴⇥(∐⩳⋚⫏≰10222010))⫃⨇(⫏≰22011002∪⫐⫏≰11220212)↳∿⪆(⫏≰1201202⋛⫏≰2111012)≨(⫏≰11200112⫞⩸⩒⫏≰1120021⫃⨇⫏≰21210100↼⊘⨖⫏≰11100000)=NaN","reverse_text":"NaN=(∤⫏≰2022100⊮⊟↴⫏≰2210002)⪟⇏(⫏≰101110110≦↸⫏≰21120121⩚⊴⇥(∐⩳⋚⫏≰10222010))⫃⨇(⫏≰22011002∪⫐⫏≰11220212)↳∿⪆(⫏≰1201202⋛⫏≰2111012)≨(⫏≰11200112⫞⩸⩒⫏≰1120021⫃⨇⫏≰21210100↼⊘⨖⫏≰11100000)","cot":[{"info":"⫏≰2022100⊮⊟↴⫏≰2210002=⫏≰0","layer":3},{"info":"∤⫏≰0=⫏≰100","layer":2},{"info":"⫏≰101110110≦↸⫏≰21120121=⫏≰-1022010212","layer":3},{"info":"∐⩳⋚⫏≰10222010=⫏≰210020210221","layer":3},{"info":"⫏≰-1022010212⩚⊴⇥⫏≰210020210221=⫏≰-201221211120","layer":2},{"info":"⫏≰100⪟⇏⫏≰-201221211120=⫏≰0","layer":1},{"info":"⫏≰22011002∪⫐⫏≰11220212=⫏≰22011002","layer":3},{"info":"⫏≰1201202⋛⫏≰2111012=⫏≰-20010202100","layer":3},{"info":"⫏≰22011002↳∿⪆⫏≰-20010202100=NaN","layer":2},{"info":"⫏≰11200112⫞⩸⩒⫏≰1120021=⫏≰1120021","layer":3},{"info":"⫏≰21210100↼⊘⨖⫏≰11100000=⫏≰22100210","layer":3},{"info":"⫏≰1120021⫃⨇⫏≰22100210=⫏≰-1020111022","layer":2},{"info":"NaN≨⫏≰-1020111022=NaN","layer":1},{"info":"⫏≰0⫃⨇NaN=NaN","layer":0}]}
{"id":598,"expression_no_base_symbol":"⊑($1051$⨼⩣$1800$≨($1187$⊓⋫)∪⫐(⨰⫟⨤(≑⋹$2126$)))","expression":"⊑(⫏≰1102221⨼⩣⫏≰2110200≨(⫏≰1121222⊓⋫)∪⫐(⨰⫟⨤(≑⋹⫏≰2220202)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6717,"operation_count":7,"complexity_ratio":959.5714285714286,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":1800,"base":3}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1187,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2126,"base":3}}}}},"used_operators":["IkUmn0D7oy","7YooWSwCyH","0KMCeP1Jsh","JxwMv5le6e","IqGBaFP0uj","Tw270M8GLb","6B9nyZLogK"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rJVOvQCfKK","2DDjHMKMc0","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⫏≰21010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1800, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1315","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1315, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=2126","layer":4},{"info":"compute unary expreesion, input=2126, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":3,"result_base":3,"text":"⊑(⫏≰1102221⨼⩣⫏≰2110200≨(⫏≰1121222⊓⋫)∪⫐(⨰⫟⨤(≑⋹⫏≰2220202)))=⫏≰21010","reverse_text":"⫏≰21010=⊑(⫏≰1102221⨼⩣⫏≰2110200≨(⫏≰1121222⊓⋫)∪⫐(⨰⫟⨤(≑⋹⫏≰2220202)))","cot":[{"info":"⫏≰1102221⨼⩣⫏≰2110200=NaN","layer":3},{"info":"⫏≰1121222⊓⋫=⫏≰-1210201","layer":3},{"info":"NaN≨⫏≰-1210201=NaN","layer":2},{"info":"≑⋹⫏≰2220202=⫏≰2021010","layer":3},{"info":"⨰⫟⨤⫏≰2021010=NaN","layer":2},{"info":"NaN∪⫐NaN=NaN","layer":1},{"info":"⊑NaN=⫏≰21010","layer":0}]}
{"id":599,"expression_no_base_symbol":"((⇋↷($5298$⪁$1699$))↡⊰⫅($9226$⨎$1000$)⋾⨃∁($6139$≀⩗∶$4629$))⨔≚≋(($6662$⪭≯$4957$)⇽⩪)≁↽≥((⇙⪊$3293$)⇡)","expression":"((⇋↷(⫏≰21021020⪁⫏≰2022221))↡⊰⫅(⫏≰110122201⨎⫏≰1101001)⋾⨃∁(⫏≰22102101≀⩗∶⫏≰20100110))⨔≚≋((⫏≰100010202⪭≯⫏≰20210121)⇽⩪)≁↽≥((⇙⪊⫏≰11111222)⇡)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32638375,"operation_count":12,"complexity_ratio":2719864.5833333335,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5298,"base":3},"right_expr":{"type":"numeric_atoms","value":1699,"base":3}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":9226,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":6139,"base":3},"right_expr":{"type":"numeric_atoms","value":4629,"base":3}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":6662,"base":3},"right_expr":{"type":"numeric_atoms","value":4957,"base":3}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":3293,"base":3}}}}},"used_operators":["Z57zeUYC9z","VCtxkLNOzz","SWo3A1KBJH","I7sXao9hZE","212REbPD9h","rJVOvQCfKK","8INZBEW696","ncHt1X6cMc","FonBHBYJbU","XAx5wpdLa6","UqFzSgLMvQ","pB6Fcnrjim"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5298","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=5298, right_input=1699, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":2},{"info":"number node, value=9226","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=9226, right_input=1000, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1000","layer":3},{"info":"number node, value=6139","layer":4},{"info":"number node, value=4629","layer":4},{"info":"compute binary expreesion, left_input=6139, right_input=4629, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1000, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=-94, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=6662","layer":4},{"info":"number node, value=4957","layer":4},{"info":"compute binary expreesion, left_input=6662, right_input=4957, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":2},{"info":"number node, value=3293","layer":4},{"info":"compute unary expreesion, input=3293, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2917, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇋↷(⫏≰21021020⪁⫏≰2022221))↡⊰⫅(⫏≰110122201⨎⫏≰1101001)⋾⨃∁(⫏≰22102101≀⩗∶⫏≰20100110))⨔≚≋((⫏≰100010202⪭≯⫏≰20210121)⇽⩪)≁↽≥((⇙⪊⫏≰11111222)⇡)=NaN","reverse_text":"NaN=((⇋↷(⫏≰21021020⪁⫏≰2022221))↡⊰⫅(⫏≰110122201⨎⫏≰1101001)⋾⨃∁(⫏≰22102101≀⩗∶⫏≰20100110))⨔≚≋((⫏≰100010202⪭≯⫏≰20210121)⇽⩪)≁↽≥((⇙⪊⫏≰11111222)⇡)","cot":[{"info":"⫏≰21021020⪁⫏≰2022221=NaN","layer":3},{"info":"⇋↷NaN=NaN","layer":2},{"info":"⫏≰110122201⨎⫏≰1101001=⫏≰1101001","layer":3},{"info":"⫏≰22102101≀⩗∶⫏≰20100110=⫏≰0","layer":3},{"info":"⫏≰1101001⋾⨃∁⫏≰0=⫏≰-10111","layer":2},{"info":"NaN↡⊰⫅⫏≰-10111=NaN","layer":1},{"info":"⫏≰100010202⪭≯⫏≰20210121=NaN","layer":3},{"info":"NaN⇽⩪=NaN","layer":2},{"info":"⇙⪊⫏≰11111222=⫏≰0","layer":3},{"info":"⫏≰0⇡=⫏≰-11000001","layer":2},{"info":"NaN≁↽≥⫏≰-11000001=⫏≰21021","layer":1},{"info":"NaN⨔≚≋⫏≰21021=NaN","layer":0}]}
{"id":600,"expression_no_base_symbol":"(⪹(↘$3922$⩍⋽⫝̸$1682$))⩨(⇺⋃($1563$→⨶⪴$4998$))↢(≯($3714$⇄$1435$))","expression":"(⪹(↘⫏≰12101021⩍⋽⫝̸⫏≰2022022))⩨(⇺⋃(⫏≰2010220→⨶⪴⫏≰20212010))↢(≯(⫏≰12002120⇄⫏≰1222011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":98,"operation_count":9,"complexity_ratio":10.88888888888889,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3922,"base":3},"right_expr":{"type":"numeric_atoms","value":1682,"base":3}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1563,"base":3},"right_expr":{"type":"numeric_atoms","value":4998,"base":3}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3714,"base":3},"right_expr":{"type":"numeric_atoms","value":1435,"base":3}}}}},"used_operators":["2DlMacCsIx","USyYr0JgAa","LdNpr8hQHL","BiWNJpBvwn","WR6HLWljOP","E5v5B3UAjG","bF6eod5Gvf","keWfFq85dY","3EYGwJThht"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","uFcxV4UQCh","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","8w2t5hMYqp","9FxExcQeMw","g55IO6H4Gj","JLbD19bQDL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3922","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=1682, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=736","layer":3},{"info":"compute unary expreesion, input=736, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=344","layer":2},{"info":"compute unary expreesion, input=344, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-164","layer":1},{"info":"number node, value=1563","layer":4},{"info":"number node, value=4998","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=4998, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-14994","layer":3},{"info":"compute unary expreesion, input=-14994, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"number node, value=3714","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=3714, right_input=1435, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-164, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪹(↘⫏≰12101021⩍⋽⫝̸⫏≰2022022))⩨(⇺⋃(⫏≰2010220→⨶⪴⫏≰20212010))↢(≯(⫏≰12002120⇄⫏≰1222011))=NaN","reverse_text":"NaN=(⪹(↘⫏≰12101021⩍⋽⫝̸⫏≰2022022))⩨(⇺⋃(⫏≰2010220→⨶⪴⫏≰20212010))↢(≯(⫏≰12002120⇄⫏≰1222011))","cot":[{"info":"⫏≰12101021⩍⋽⫝̸⫏≰2022022=⫏≰1000021","layer":3},{"info":"↘⫏≰1000021=⫏≰110202","layer":2},{"info":"⪹⫏≰110202=⫏≰-20002","layer":1},{"info":"⫏≰2010220→⨶⪴⫏≰20212010=⫏≰-202120100","layer":3},{"info":"⇺⋃⫏≰-202120100=NaN","layer":2},{"info":"⫏≰12002120⇄⫏≰1222011=⫏≰0","layer":3},{"info":"≯⫏≰0=⫏≰0","layer":2},{"info":"NaN↢⫏≰0=NaN","layer":1},{"info":"⫏≰-20002⩨NaN=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"⇉-⫰(($1079$⇉⇱⇎)⪒$1680$⪎↠$3421$)⨔⇊((⊥$2924$)↓($1652$≧⫂∧$1291$))","expression":"⇉-⫰((⫏≰1110222⇉⇱⇎)⪒⫏≰2022020⪎↠⫏≰11200201)⨔⇊((⊥⫏≰11000022)↓(⫏≰2021012≧⫂∧⫏≰1202211))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11836,"operation_count":8,"complexity_ratio":1479.5,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1079,"base":3}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1680,"base":3},"right_expr":{"type":"numeric_atoms","value":3421,"base":3}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2924,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1652,"base":3},"right_expr":{"type":"numeric_atoms","value":1291,"base":3}}}}},"used_operators":["IGFM8TAlm9","JclMnS0uGI","f6k1SAg4EE","MRPaB8lBjK","3tVxb0NHM4","Af076pWI7l","Q3PJZHRvZv","Ph9nP6C5qx"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-861","layer":3},{"info":"number node, value=1680","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=3421, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-861, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=701","layer":2},{"info":"number node, value=2924","layer":4},{"info":"compute unary expreesion, input=2924, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1652","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=1291, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=818, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=701, right_input=-134, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":3,"result_base":3,"text":"⇉-⫰((⫏≰1110222⇉⇱⇎)⪒⫏≰2022020⪎↠⫏≰11200201)⨔⇊((⊥⫏≰11000022)↓(⫏≰2021012≧⫂∧⫏≰1202211))=⫏≰202","reverse_text":"⫏≰202=⇉-⫰((⫏≰1110222⇉⇱⇎)⪒⫏≰2022020⪎↠⫏≰11200201)⨔⇊((⊥⫏≰11000022)↓(⫏≰2021012≧⫂∧⫏≰1202211))","cot":[{"info":"⫏≰1110222⇉⇱⇎=⫏≰-1011220","layer":3},{"info":"⫏≰2022020⪎↠⫏≰11200201=⫏≰12221","layer":3},{"info":"⫏≰-1011220⪒⫏≰12221=⫏≰221222","layer":2},{"info":"⊥⫏≰11000022=NaN","layer":3},{"info":"⫏≰2021012≧⫂∧⫏≰1202211=⫏≰1010022","layer":3},{"info":"NaN↓⫏≰1010022=⫏≰-11222","layer":2},{"info":"⫏≰221222⨔⇊⫏≰-11222=⫏≰2111","layer":1},{"info":"⇉-⫰⫏≰2111=⫏≰202","layer":0}]}
{"id":602,"expression_no_base_symbol":"⇜⊴$1078$⪒⊣⊆$1865$⪔($1425$⊉≛↸$5872$)-(≱⇩⩕(⨆≐≲$1179$))","expression":"⇜⊴⫏≰1110221⪒⊣⊆⫏≰2120002⪔(⫏≰1221210⊉≛↸⫏≰22001111)-(≱⇩⩕(⨆≐≲⫏≰1121200))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3173,"operation_count":7,"complexity_ratio":453.2857142857143,"tree":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1078,"base":3},"right_expr":{"type":"numeric_atoms","value":1865,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1425,"base":3},"right_expr":{"type":"numeric_atoms","value":5872,"base":3}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1179,"base":3}}}}},"used_operators":["XwDhCwWbUn","rysDP5nf3Z","GjBEYRfMaF","eRqsBgTDFp","DZ8iAZOCBD","3DZMoQKiUl","Bi9z9uYZqW"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"⫏≰1222010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1078","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1865, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2156","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=5872","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=5872, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2850","layer":3},{"info":"compute binary expreesion, left_input=2156, right_input=2850, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=12569496","layer":3},{"info":"compute unary expreesion, input=12569496, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=113, op_id = rysDP5nf3Z binary_op_definition= 'None', output=337","layer":1},{"info":"compute unary expreesion, input=337, 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=1434","layer":0}],"base":3,"result_base":3,"text":"⇜⊴⫏≰1110221⪒⊣⊆⫏≰2120002⪔(⫏≰1221210⊉≛↸⫏≰22001111)-(≱⇩⩕(⨆≐≲⫏≰1121200))=⫏≰1222010","reverse_text":"⫏≰1222010=⇜⊴⫏≰1110221⪒⊣⊆⫏≰2120002⪔(⫏≰1221210⊉≛↸⫏≰22001111)-(≱⇩⩕(⨆≐≲⫏≰1121200))","cot":[{"info":"⫏≰1110221⪒⊣⊆⫏≰2120002=⫏≰2221212","layer":3},{"info":"⫏≰1221210⊉≛↸⫏≰22001111=⫏≰10220120","layer":3},{"info":"⫏≰2221212⪔⫏≰10220120=⫏≰121200","layer":2},{"info":"⨆≐≲⫏≰1121200=⫏≰212122121002220","layer":3},{"info":"≱⇩⩕⫏≰212122121002220=⫏≰11012","layer":2},{"info":"⫏≰121200-⫏≰11012=⫏≰110111","layer":1},{"info":"⇜⊴⫏≰110111=⫏≰1222010","layer":0}]}
{"id":603,"expression_no_base_symbol":"(↑($6953$⇌⫙⪟$7187$))⊱⇼⊻(($3442$≣⋋)↰)⩺⪪((($2778$⋻⩜⩜$2368$)⨁⊸⫻)⪒(⫎≠⋺$1474$)⊬⨰($1086$⇌⫙⪟$2487$))","expression":"(↑(⫏≰100112112⇌⫙⪟⫏≰100212012))⊱⇼⊻((⫏≰11201111≣⋋)↰)⩺⪪(((⫏≰10210220⋻⩜⩜⫏≰10020201)⨁⊸⫻)⪒(⫎≠⋺⫏≰2000121)⊬⨰(⫏≰1111020⇌⫙⪟⫏≰10102010))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33907,"operation_count":12,"complexity_ratio":2825.5833333333335,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":6953,"base":3},"right_expr":{"type":"numeric_atoms","value":7187,"base":3}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3442,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2778,"base":3},"right_expr":{"type":"numeric_atoms","value":2368,"base":3}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1474,"base":3}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1086,"base":3},"right_expr":{"type":"numeric_atoms","value":2487,"base":3}}}}},"used_operators":["uvdQJvN4PV","FyVja0WsTP","tR7O2zTn5j","AFVx7xoS7T","bl5wxAcryP","Tcnh7f0tEr","f6k1SAg4EE","glklzrTFfD","oDCm7WA9JY","s3Fd5m9Dh2","LYeZOJ0nQG"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","nCS4ZIUYfx","Z2TMIBDE3Q","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⫏≰-21211110010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6953","layer":4},{"info":"number node, value=7187","layer":4},{"info":"compute binary expreesion, left_input=6953, right_input=7187, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=3442","layer":4},{"info":"compute unary expreesion, input=3442, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-101","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-101, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=3570","layer":1},{"info":"number node, value=2778","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=2778, right_input=2368, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5556","layer":3},{"info":"compute unary expreesion, input=5556, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5556","layer":2},{"info":"number node, value=1474","layer":4},{"info":"compute unary expreesion, input=1474, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2487, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=452","layer":2},{"info":"compute binary expreesion, left_input=5556, right_input=452, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6008","layer":1},{"info":"compute binary expreesion, left_input=3570, right_input=-6008, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-154146","layer":0}],"base":3,"result_base":3,"text":"(↑(⫏≰100112112⇌⫙⪟⫏≰100212012))⊱⇼⊻((⫏≰11201111≣⋋)↰)⩺⪪(((⫏≰10210220⋻⩜⩜⫏≰10020201)⨁⊸⫻)⪒(⫎≠⋺⫏≰2000121)⊬⨰(⫏≰1111020⇌⫙⪟⫏≰10102010))=⫏≰-21211110010","reverse_text":"⫏≰-21211110010=(↑(⫏≰100112112⇌⫙⪟⫏≰100212012))⊱⇼⊻((⫏≰11201111≣⋋)↰)⩺⪪(((⫏≰10210220⋻⩜⩜⫏≰10020201)⨁⊸⫻)⪒(⫎≠⋺⫏≰2000121)⊬⨰(⫏≰1111020⇌⫙⪟⫏≰10102010))","cot":[{"info":"⫏≰100112112⇌⫙⪟⫏≰100212012=⫏≰11012","layer":3},{"info":"↑⫏≰11012=⫏≰21010","layer":2},{"info":"⫏≰11201111≣⋋=⫏≰0","layer":3},{"info":"⫏≰0↰=⫏≰-10202","layer":2},{"info":"⫏≰21010⊱⇼⊻⫏≰-10202=⫏≰11220020","layer":1},{"info":"⫏≰10210220⋻⩜⩜⫏≰10020201=⫏≰21121210","layer":3},{"info":"⫏≰21121210⨁⊸⫻=⫏≰21121210","layer":2},{"info":"⫎≠⋺⫏≰2000121=⫏≰0","layer":3},{"info":"⫏≰1111020⇌⫙⪟⫏≰10102010=⫏≰11012","layer":3},{"info":"⫏≰0⊬⨰⫏≰11012=⫏≰121202","layer":2},{"info":"⫏≰21121210⪒⫏≰121202=⫏≰-22020112","layer":1},{"info":"⫏≰11220020⩺⪪⫏≰-22020112=⫏≰-21211110010","layer":0}]}
{"id":604,"expression_no_base_symbol":"(($3265$⊢)⩅⪻⪻)⇻⋧≁($1664$↹⊜$1171$⊱⇼⊻($1860$⊴$1718$))∊∟⩊(⫟(⊢≑≆$1592$)≁($1153$⫲⨊))","expression":"((⫏≰11110221⊢)⩅⪻⪻)⇻⋧≁(⫏≰2021122↹⊜⫏≰1121101⊱⇼⊻(⫏≰2112220⊴⫏≰2100122))∊∟⩊(⫟(⊢≑≆⫏≰2011222)≁(⫏≰1120201⫲⨊))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9836,"operation_count":11,"complexity_ratio":894.1818181818181,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3265,"base":3}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1664,"base":3},"right_expr":{"type":"numeric_atoms","value":1171,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1860,"base":3},"right_expr":{"type":"numeric_atoms","value":1718,"base":3}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1592,"base":3}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1153,"base":3}}}}},"used_operators":["ddLRYrp01A","jCPkEVoL5K","kHoXpA7yos","40aOVDgCDB","FyVja0WsTP","9bazX3JMtO","Nsiff2A1zJ","z4E1FaHLuy","8N2wDY1A35","27wFxooxGf","CArV6hThFE"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","NTOWxs364D","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe"],"result":"⫏≰-210220010222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3265","layer":4},{"info":"compute unary expreesion, input=3265, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3512","layer":3},{"info":"compute unary expreesion, input=-3512, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"number node, value=1664","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=1171, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1452","layer":3},{"info":"number node, value=1860","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=1718, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1452, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=6012","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=6012, 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=1592","layer":4},{"info":"compute unary expreesion, input=1592, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=6820","layer":3},{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=6548","layer":3},{"info":"compute binary expreesion, left_input=6820, right_input=6548, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=143951","layer":2},{"info":"compute unary expreesion, input=143951, 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=-430946","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-430946, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-430946","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11110221⊢)⩅⪻⪻)⇻⋧≁(⫏≰2021122↹⊜⫏≰1121101⊱⇼⊻(⫏≰2112220⊴⫏≰2100122))∊∟⩊(⫟(⊢≑≆⫏≰2011222)≁(⫏≰1120201⫲⨊))=⫏≰-210220010222","reverse_text":"⫏≰-210220010222=((⫏≰11110221⊢)⩅⪻⪻)⇻⋧≁(⫏≰2021122↹⊜⫏≰1121101⊱⇼⊻(⫏≰2112220⊴⫏≰2100122))∊∟⩊(⫟(⊢≑≆⫏≰2011222)≁(⫏≰1120201⫲⨊))","cot":[{"info":"⫏≰11110221⊢=⫏≰-11211002","layer":3},{"info":"⫏≰-11211002⩅⪻⪻=⫏≰12110101","layer":2},{"info":"⫏≰2021122↹⊜⫏≰1121101=⫏≰-1222210","layer":3},{"info":"⫏≰2112220⊴⫏≰2100122=NaN","layer":3},{"info":"⫏≰-1222210⊱⇼⊻NaN=⫏≰22020200","layer":2},{"info":"⫏≰12110101⇻⋧≁⫏≰22020200=⫏≰-121120","layer":1},{"info":"⊢≑≆⫏≰2011222=⫏≰100100121","layer":3},{"info":"⫏≰1120201⫲⨊=⫏≰22222112","layer":3},{"info":"⫏≰100100121≁⫏≰22222112=⫏≰21022110112","layer":2},{"info":"⫟⫏≰21022110112=⫏≰-210220010222","layer":1},{"info":"⫏≰-121120∊∟⩊⫏≰-210220010222=⫏≰-210220010222","layer":0}]}
{"id":605,"expression_no_base_symbol":"(($1180$∕⩚$2471$)∌↝($5304$*$1689$))⊢$5566$≁↽≥$3265$⋹⋡⊁($1805$⨿$1334$)∛(($1580$⪎⩰)≹⇙⪍$1788$⇂≾⫗$3780$*$6347$⪪$3186$⋥≓≎$3622$⪎↠$9334$)","expression":"((⫏≰1121201∕⩚⫏≰10101112)∌↝(⫏≰21021110*⫏≰2022120))⊢⫏≰21122011≁↽≥⫏≰11110221⋹⋡⊁(⫏≰2110212⨿⫏≰1211102)∛((⫏≰2011112⪎⩰)≹⇙⪍⫏≰2110020⇂≾⫗⫏≰12012000*⫏≰22201002⪪⫏≰11101000⋥≓≎⫏≰11222011⪎↠⫏≰110210201)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":479467,"operation_count":15,"complexity_ratio":31964.466666666667,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1180,"base":3},"right_expr":{"type":"numeric_atoms","value":2471,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5304,"base":3},"right_expr":{"type":"numeric_atoms","value":1689,"base":3}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5566,"base":3},"right_expr":{"type":"numeric_atoms","value":3265,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1805,"base":3},"right_expr":{"type":"numeric_atoms","value":1334,"base":3}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1580,"base":3}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1788,"base":3},"right_expr":{"type":"numeric_atoms","value":3780,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6347,"base":3},"right_expr":{"type":"numeric_atoms","value":3186,"base":3}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3622,"base":3},"right_expr":{"type":"numeric_atoms","value":9334,"base":3}}}}},"used_operators":["w2537kitQq","5twsqlHp2o","9Isq31Ruls","z9ffQ9n5Zr","9HNa5Wba9A","As8RqfVLgs","ncHt1X6cMc","abYXlopdE0","AHs5Up7iyr","2ufhKmSs5H","aBQ6xLxuTc","Qy55tPpLXF","xD69zh8xqp","3tVxb0NHM4"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","oWn0xqSxBt","3Oe9XWJUTD","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","dWAJyo7jo9","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=2471, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1183","layer":3},{"info":"number node, value=5304","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=1689, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8958456","layer":3},{"info":"compute binary expreesion, left_input=-1183, right_input=8958456, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-26875368","layer":2},{"info":"number node, value=5566","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=5566, right_input=3265, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=75672","layer":3},{"info":"number node, value=1805","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=1334, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=75672, right_input=-319, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=605114","layer":2},{"info":"compute binary expreesion, left_input=-26875368, right_input=605114, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=53750492","layer":1},{"info":"number node, value=1580","layer":4},{"info":"compute unary expreesion, input=1580, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=1788","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=3780, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=-676, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6347","layer":4},{"info":"number node, value=3186","layer":4},{"info":"compute binary expreesion, left_input=6347, right_input=3186, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-954486","layer":3},{"info":"number node, value=3622","layer":4},{"info":"number node, value=9334","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=9334, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-954486, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=53750492, 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":3,"result_base":3,"text":"((⫏≰1121201∕⩚⫏≰10101112)∌↝(⫏≰21021110*⫏≰2022120))⊢⫏≰21122011≁↽≥⫏≰11110221⋹⋡⊁(⫏≰2110212⨿⫏≰1211102)∛((⫏≰2011112⪎⩰)≹⇙⪍⫏≰2110020⇂≾⫗⫏≰12012000*⫏≰22201002⪪⫏≰11101000⋥≓≎⫏≰11222011⪎↠⫏≰110210201)=⫏≰2111","reverse_text":"⫏≰2111=((⫏≰1121201∕⩚⫏≰10101112)∌↝(⫏≰21021110*⫏≰2022120))⊢⫏≰21122011≁↽≥⫏≰11110221⋹⋡⊁(⫏≰2110212⨿⫏≰1211102)∛((⫏≰2011112⪎⩰)≹⇙⪍⫏≰2110020⇂≾⫗⫏≰12012000*⫏≰22201002⪪⫏≰11101000⋥≓≎⫏≰11222011⪎↠⫏≰110210201)","cot":[{"info":"⫏≰1121201∕⩚⫏≰10101112=⫏≰-1121211","layer":3},{"info":"⫏≰21021110*⫏≰2022120=⫏≰121212010200200","layer":3},{"info":"⫏≰-1121211∌↝⫏≰121212010200200=⫏≰-1212120102002000","layer":2},{"info":"⫏≰21122011≁↽≥⫏≰11110221=⫏≰10211210200","layer":3},{"info":"⫏≰2110212⨿⫏≰1211102=⫏≰-102211","layer":3},{"info":"⫏≰10211210200⋹⋡⊁⫏≰-102211=⫏≰1010202001122","layer":2},{"info":"⫏≰-1212120102002000⊢⫏≰1010202001122=⫏≰10202010210210222","layer":1},{"info":"⫏≰2011112⪎⩰=⫏≰-1021","layer":3},{"info":"⫏≰2110020⇂≾⫗⫏≰12012000=⫏≰-221001","layer":3},{"info":"⫏≰-1021≹⇙⪍⫏≰-221001=NaN","layer":2},{"info":"⫏≰22201002⪪⫏≰11101000=⫏≰-1210111022100","layer":3},{"info":"⫏≰11222011⪎↠⫏≰110210201=⫏≰12221","layer":3},{"info":"⫏≰-1210111022100⋥≓≎⫏≰12221=⫏≰2111","layer":2},{"info":"NaN*⫏≰2111=NaN","layer":1},{"info":"⫏≰10202010210210222∛NaN=⫏≰2111","layer":0}]}
{"id":606,"expression_no_base_symbol":"($9298$⨻⩈⩔$2520$)⋹⋡⊁($2784$⫢⨠$4290$)≀⫉(↨⩢⫨$3674$⫞⩸⩒$3339$)⫌⩉⩟((($7627$↰)⪕$4355$⇣⩺⋵$4011$)⋆⋳)","expression":"(⫏≰110202101⨻⩈⩔⫏≰10110100)⋹⋡⊁(⫏≰10211010⫢⨠⫏≰12212220)≀⫉(↨⩢⫨⫏≰12001002⫞⩸⩒⫏≰11120200)⫌⩉⩟(((⫏≰101110111↰)⪕⫏≰12222022⇣⩺⋵⫏≰12111120)⋆⋳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":241240,"operation_count":11,"complexity_ratio":21930.909090909092,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":9298,"base":3},"right_expr":{"type":"numeric_atoms","value":2520,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2784,"base":3},"right_expr":{"type":"numeric_atoms","value":4290,"base":3}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3674,"base":3},"right_expr":{"type":"numeric_atoms","value":3339,"base":3}}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":7627,"base":3}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4355,"base":3},"right_expr":{"type":"numeric_atoms","value":4011,"base":3}}}}},"used_operators":["XIIwhv8d0m","oZj3VtZNQx","As8RqfVLgs","nEsXyWgiOK","xlXykHWxX1","Z5CJsN7DuW","XGcMNugi78","6MpZysEj17","umQnsF7QlU","bl5wxAcryP","F4yD0voBRQ"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","nCS4ZIUYfx","Z2TMIBDE3Q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⫏≰-1212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9298","layer":4},{"info":"number node, value=2520","layer":4},{"info":"compute binary expreesion, left_input=9298, right_input=2520, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=65983","layer":3},{"info":"number node, value=2784","layer":4},{"info":"number node, value=4290","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=4290, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=65983, right_input=160, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=910","layer":2},{"info":"number node, value=3674","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=3674, right_input=3339, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3339","layer":3},{"info":"compute unary expreesion, input=3339, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=910, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=7627","layer":4},{"info":"compute unary expreesion, input=7627, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=7526","layer":3},{"info":"number node, value=4355","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=4011, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=7526, right_input=-260, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=16213","layer":2},{"info":"compute unary expreesion, input=16213, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-32458","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-32458, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":3,"result_base":3,"text":"(⫏≰110202101⨻⩈⩔⫏≰10110100)⋹⋡⊁(⫏≰10211010⫢⨠⫏≰12212220)≀⫉(↨⩢⫨⫏≰12001002⫞⩸⩒⫏≰11120200)⫌⩉⩟(((⫏≰101110111↰)⪕⫏≰12222022⇣⩺⋵⫏≰12111120)⋆⋳)=⫏≰-1212","reverse_text":"⫏≰-1212=(⫏≰110202101⨻⩈⩔⫏≰10110100)⋹⋡⊁(⫏≰10211010⫢⨠⫏≰12212220)≀⫉(↨⩢⫨⫏≰12001002⫞⩸⩒⫏≰11120200)⫌⩉⩟(((⫏≰101110111↰)⪕⫏≰12222022⇣⩺⋵⫏≰12111120)⋆⋳)","cot":[{"info":"⫏≰110202101⨻⩈⩔⫏≰10110100=⫏≰10100111211","layer":3},{"info":"⫏≰10211010⫢⨠⫏≰12212220=⫏≰12221","layer":3},{"info":"⫏≰10100111211⋹⋡⊁⫏≰12221=⫏≰1020201","layer":2},{"info":"⫏≰12001002⫞⩸⩒⫏≰11120200=⫏≰11120200","layer":3},{"info":"↨⩢⫨⫏≰11120200=⫏≰0","layer":2},{"info":"⫏≰1020201≀⫉⫏≰0=⫏≰10212112","layer":1},{"info":"⫏≰101110111↰=⫏≰101022202","layer":3},{"info":"⫏≰12222022⇣⩺⋵⫏≰12111120=⫏≰-100122","layer":3},{"info":"⫏≰101022202⪕⫏≰-100122=⫏≰211020111","layer":2},{"info":"⫏≰211020111⋆⋳=⫏≰-1122112011","layer":1},{"info":"⫏≰10212112⫌⩉⩟⫏≰-1122112011=⫏≰-1212","layer":0}]}
{"id":607,"expression_no_base_symbol":"((⇈($4285$⪁$5211$))↡⊰⫅(($1383$⨐$1272$)⋹))⪔⊥(($1572$⩇∃⫛$5541$⨴∎)∠↢(($2511$⊧↖)≀⩗∶$2250$⫉⨲⊜$1828$))","expression":"((⇈(⫏≰12212201⪁⫏≰21011000))↡⊰⫅((⫏≰1220020⨐⫏≰1202010)⋹))⪔⊥((⫏≰2011020⩇∃⫛⫏≰21121020⨴∎)∠↢((⫏≰10110000⊧↖)≀⩗∶⫏≰10002100⫉⨲⊜⫏≰2111201))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":291287356,"operation_count":12,"complexity_ratio":24273946.333333332,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4285,"base":3},"right_expr":{"type":"numeric_atoms","value":5211,"base":3}}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1383,"base":3},"right_expr":{"type":"numeric_atoms","value":1272,"base":3}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1572,"base":3},"right_expr":{"type":"numeric_atoms","value":5541,"base":3}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":2511,"base":3}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2250,"base":3},"right_expr":{"type":"numeric_atoms","value":1828,"base":3}}}}},"used_operators":["HJ9erzHUuu","VCtxkLNOzz","SLLxy00UIr","I7sXao9hZE","opAxDRczMr","Noe24qw2ks","KbjG8mgYpV","CpSg5vQTgA","1aApVXNlOP","8INZBEW696","EKiFHuOFxO","WhqkvtTD3t"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4285","layer":4},{"info":"number node, value=5211","layer":4},{"info":"compute binary expreesion, left_input=4285, right_input=5211, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=1383","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=1272, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2766","layer":3},{"info":"compute unary expreesion, input=-2766, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-20, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=-40","layer":1},{"info":"number node, value=1572","layer":4},{"info":"number node, value=5541","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=5541, 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=4442","layer":3},{"info":"compute unary expreesion, input=4442, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=37842920","layer":3},{"info":"number node, value=2250","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=1828, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=37842920, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":1},{"info":"compute binary expreesion, left_input=-40, right_input=nan, 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":3,"result_base":3,"text":"((⇈(⫏≰12212201⪁⫏≰21011000))↡⊰⫅((⫏≰1220020⨐⫏≰1202010)⋹))⪔⊥((⫏≰2011020⩇∃⫛⫏≰21121020⨴∎)∠↢((⫏≰10110000⊧↖)≀⩗∶⫏≰10002100⫉⨲⊜⫏≰2111201))=NaN","reverse_text":"NaN=((⇈(⫏≰12212201⪁⫏≰21011000))↡⊰⫅((⫏≰1220020⨐⫏≰1202010)⋹))⪔⊥((⫏≰2011020⩇∃⫛⫏≰21121020⨴∎)∠↢((⫏≰10110000⊧↖)≀⩗∶⫏≰10002100⫉⨲⊜⫏≰2111201))","cot":[{"info":"⫏≰12212201⪁⫏≰21011000=NaN","layer":3},{"info":"⇈NaN=⫏≰-121120","layer":2},{"info":"⫏≰1220020⨐⫏≰1202010=⫏≰-10210110","layer":3},{"info":"⫏≰-10210110⋹=⫏≰-202","layer":2},{"info":"⫏≰-121120↡⊰⫅⫏≰-202=⫏≰-1111","layer":1},{"info":"⫏≰2011020⩇∃⫛⫏≰21121020=⫏≰20002112","layer":3},{"info":"⫏≰20002112⨴∎=NaN","layer":2},{"info":"⫏≰10110000⊧↖=⫏≰2122012121201122","layer":3},{"info":"⫏≰10002100⫉⨲⊜⫏≰2111201=⫏≰0","layer":3},{"info":"⫏≰2122012121201122≀⩗∶⫏≰0=⫏≰0","layer":2},{"info":"NaN∠↢⫏≰0=NaN","layer":1},{"info":"⫏≰-1111⪔⊥NaN=NaN","layer":0}]}
{"id":608,"expression_no_base_symbol":"($4064$⪶≀⋏$1641$∽$4942$⪒⊣⊆$1063$)⫉⨲⊜($1072$≨$7943$≭(⇤←$1031$))⩇∃⫛(⪓⩚(⪸($3248$⩧⪆$2522$)))","expression":"(⫏≰12120112⪶≀⋏⫏≰2020210∽⫏≰20210001⪒⊣⊆⫏≰1110101)⫉⨲⊜(⫏≰1110201≨⫏≰101220012≭(⇤←⫏≰1102012))⩇∃⫛(⪓⩚(⪸(⫏≰11110022⩧⪆⫏≰10110102)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3582,"operation_count":11,"complexity_ratio":325.6363636363636,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4064,"base":3},"right_expr":{"type":"numeric_atoms","value":1641,"base":3}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4942,"base":3},"right_expr":{"type":"numeric_atoms","value":1063,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1072,"base":3},"right_expr":{"type":"numeric_atoms","value":7943,"base":3}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1031,"base":3}}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3248,"base":3},"right_expr":{"type":"numeric_atoms","value":2522,"base":3}}}}},"used_operators":["1aApVXNlOP","WhqkvtTD3t","y4ImoPnbV5","zR4jO40bMj","eRqsBgTDFp","rxpJgHHUmx","0KMCeP1Jsh","jfAgQ2OQeM","u0R0Locfp2","86A5ENbKR9","Ikt5ks8PT7"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","AHs5Up7iyr","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","eewbuw0ToL","t8gj7n24qd"],"result":"⫏≰1020022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4064","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=4064, right_input=1641, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15706","layer":3},{"info":"number node, value=4942","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=4942, right_input=1063, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9884","layer":3},{"info":"compute binary expreesion, left_input=-15706, right_input=9884, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=49056","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=7943","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=7943, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8244","layer":3},{"info":"number node, value=1031","layer":4},{"info":"compute unary expreesion, input=1031, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-3789","layer":3},{"info":"compute binary expreesion, left_input=-8244, right_input=-3789, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=49056, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=3248","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=3248, right_input=2522, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2522","layer":3},{"info":"compute unary expreesion, input=-2522, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=23322","layer":2},{"info":"compute unary expreesion, input=23322, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=426, 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=899","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12120112⪶≀⋏⫏≰2020210∽⫏≰20210001⪒⊣⊆⫏≰1110101)⫉⨲⊜(⫏≰1110201≨⫏≰101220012≭(⇤←⫏≰1102012))⩇∃⫛(⪓⩚(⪸(⫏≰11110022⩧⪆⫏≰10110102)))=⫏≰1020022","reverse_text":"⫏≰1020022=(⫏≰12120112⪶≀⋏⫏≰2020210∽⫏≰20210001⪒⊣⊆⫏≰1110101)⫉⨲⊜(⫏≰1110201≨⫏≰101220012≭(⇤←⫏≰1102012))⩇∃⫛(⪓⩚(⪸(⫏≰11110022⩧⪆⫏≰10110102)))","cot":[{"info":"⫏≰12120112⪶≀⋏⫏≰2020210=⫏≰-210112201","layer":3},{"info":"⫏≰20210001⪒⊣⊆⫏≰1110101=⫏≰111120002","layer":3},{"info":"⫏≰-210112201∽⫏≰111120002=⫏≰2111021220","layer":2},{"info":"⫏≰1110201≨⫏≰101220012=⫏≰-102022100","layer":3},{"info":"⇤←⫏≰1102012=⫏≰-12012100","layer":3},{"info":"⫏≰-102022100≭⫏≰-12012100=NaN","layer":2},{"info":"⫏≰2111021220⫉⨲⊜NaN=⫏≰0","layer":1},{"info":"⫏≰11110022⩧⪆⫏≰10110102=⫏≰-10110102","layer":3},{"info":"⪸⫏≰-10110102=⫏≰1011222210","layer":2},{"info":"⪓⩚⫏≰1011222210=⫏≰120210","layer":1},{"info":"⫏≰0⩇∃⫛⫏≰120210=⫏≰1020022","layer":0}]}
{"id":609,"expression_no_base_symbol":"($4284$⇂≾⫗$2240$↳∿⪆($2416$∇⊂⋱$1015$))⨐($1453$⫥∨⫟$1094$)⊕∕($8485$⪘⨀)∓⋝(⊈($4765$⨼⩣$2634$⨟⋌⩍($3052$≎⊠⪸$3193$)))","expression":"(⫏≰12212200⇂≾⫗⫏≰10001222↳∿⪆(⫏≰10022111∇⊂⋱⫏≰1101121))⨐(⫏≰1222211⫥∨⫟⫏≰1111112)⊕∕(⫏≰102122021⪘⨀)∓⋝(⊈(⫏≰20112111⨼⩣⫏≰10121120⨟⋌⩍(⫏≰11012001≎⊠⪸⫏≰11101021)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3396,"operation_count":12,"complexity_ratio":283.0,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4284,"base":3},"right_expr":{"type":"numeric_atoms","value":2240,"base":3}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2416,"base":3},"right_expr":{"type":"numeric_atoms","value":1015,"base":3}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1453,"base":3},"right_expr":{"type":"numeric_atoms","value":1094,"base":3}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":8485,"base":3}}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4765,"base":3},"right_expr":{"type":"numeric_atoms","value":2634,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3052,"base":3},"right_expr":{"type":"numeric_atoms","value":3193,"base":3}}}}},"used_operators":["PoHhknlbAi","Noe24qw2ks","Cw4SuJJGHO","aBQ6xLxuTc","nhYeJWJD5X","9cloC0Ngie","KYD54nUTWz","aA7tF3KVD3","RHru8klgy8","rGHVDoGpnC","JxwMv5le6e","bJkvcejdHO"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","8HhzD0ZcuI","rGHVDoGpnC","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","12rbrZMWeM","xUOZtlo3hN","Tcnh7f0tEr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4284","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=2240, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2416","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1015, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4286","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=4286, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1453","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=1094, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8485","layer":4},{"info":"compute unary expreesion, input=8485, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-17551","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17551, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":1},{"info":"number node, value=4765","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=4765, right_input=2634, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3052","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=3193, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=789995","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=789995, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', 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":3,"result_base":3,"text":"(⫏≰12212200⇂≾⫗⫏≰10001222↳∿⪆(⫏≰10022111∇⊂⋱⫏≰1101121))⨐(⫏≰1222211⫥∨⫟⫏≰1111112)⊕∕(⫏≰102122021⪘⨀)∓⋝(⊈(⫏≰20112111⨼⩣⫏≰10121120⨟⋌⩍(⫏≰11012001≎⊠⪸⫏≰11101021)))=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰12212200⇂≾⫗⫏≰10001222↳∿⪆(⫏≰10022111∇⊂⋱⫏≰1101121))⨐(⫏≰1222211⫥∨⫟⫏≰1111112)⊕∕(⫏≰102122021⪘⨀)∓⋝(⊈(⫏≰20112111⨼⩣⫏≰10121120⨟⋌⩍(⫏≰11012001≎⊠⪸⫏≰11101021)))","cot":[{"info":"⫏≰12212200⇂≾⫗⫏≰10001222=⫏≰-221001","layer":3},{"info":"⫏≰10022111∇⊂⋱⫏≰1101121=⫏≰12212202","layer":3},{"info":"⫏≰-221001↳∿⪆⫏≰12212202=NaN","layer":2},{"info":"⫏≰1222211⫥∨⫟⫏≰1111112=NaN","layer":3},{"info":"⫏≰102122021⪘⨀=⫏≰-220002001","layer":3},{"info":"NaN⊕∕⫏≰-220002001=NaN","layer":2},{"info":"NaN⨐NaN=NaN","layer":1},{"info":"⫏≰20112111⨼⩣⫏≰10121120=NaN","layer":3},{"info":"⫏≰11012001≎⊠⪸⫏≰11101021=⫏≰1111010200002","layer":3},{"info":"NaN⨟⋌⩍⫏≰1111010200002=NaN","layer":2},{"info":"⊈NaN=NaN","layer":1},{"info":"NaN∓⋝NaN=⫏≰2111","layer":0}]}
{"id":610,"expression_no_base_symbol":"⩎⋉((⨵≀≌$2363$∇⊂⋱$3520$)≨($7225$⩵∡$1172$∲⫓(⇵⪽$2937$)))","expression":"⩎⋉((⨵≀≌⫏≰10020112∇⊂⋱⫏≰11211101)≨(⫏≰100220121⩵∡⫏≰1121102∲⫓(⇵⪽⫏≰11000210)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":76060,"operation_count":7,"complexity_ratio":10865.714285714286,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2363,"base":3},"right_expr":{"type":"numeric_atoms","value":3520,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":7225,"base":3},"right_expr":{"type":"numeric_atoms","value":1172,"base":3}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2937,"base":3}}}}},"used_operators":["FlXk3pOYe8","0KMCeP1Jsh","srAu1WTS94","nhYeJWJD5X","i8ToyICDmI","Y7wcNGrDQJ","ZGCBLdVRRX"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","U7g4x0WXJJ"],"result":"⫏≰2021010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2363","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=3520, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4180","layer":3},{"info":"compute unary expreesion, input=4180, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12540","layer":2},{"info":"number node, value=7225","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=7225, right_input=1172, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-13399","layer":3},{"info":"number node, value=2937","layer":4},{"info":"compute unary expreesion, input=2937, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13399, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12540, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=25736","layer":1},{"info":"compute unary expreesion, input=25736, 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":3,"result_base":3,"text":"⩎⋉((⨵≀≌⫏≰10020112∇⊂⋱⫏≰11211101)≨(⫏≰100220121⩵∡⫏≰1121102∲⫓(⇵⪽⫏≰11000210)))=⫏≰2021010","reverse_text":"⫏≰2021010=⩎⋉((⨵≀≌⫏≰10020112∇⊂⋱⫏≰11211101)≨(⫏≰100220121⩵∡⫏≰1121102∲⫓(⇵⪽⫏≰11000210)))","cot":[{"info":"⫏≰10020112∇⊂⋱⫏≰11211101=⫏≰12201211","layer":3},{"info":"⨵≀≌⫏≰12201211=⫏≰-122012110","layer":2},{"info":"⫏≰100220121⩵∡⫏≰1121102=⫏≰-200101021","layer":3},{"info":"⇵⪽⫏≰11000210=NaN","layer":3},{"info":"⫏≰-200101021∲⫓NaN=NaN","layer":2},{"info":"⫏≰-122012110≨NaN=⫏≰1022022012","layer":1},{"info":"⩎⋉⫏≰1022022012=⫏≰2021010","layer":0}]}
{"id":611,"expression_no_base_symbol":"((($1382$⪚$6325$)⇔⨋)⪄(-$2178$)⋣⋖($3870$⪶≀⋏$1449$))⪥(⫖→($4428$⊟⇱)⩺⪪$1830$⨓$3720$)","expression":"(((⫏≰1220012⪚⫏≰22200021)⇔⨋)⪄(-⫏≰2222200)⋣⋖(⫏≰12022100⪶≀⋏⫏≰1222200))⪥(⫖→(⫏≰20002000⊟⇱)⩺⪪⫏≰2111210⨓⫏≰12002210)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":214861,"operation_count":11,"complexity_ratio":19532.81818181818,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1382,"base":3},"right_expr":{"type":"numeric_atoms","value":6325,"base":3}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2178,"base":3}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3870,"base":3},"right_expr":{"type":"numeric_atoms","value":1449,"base":3}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":4428,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1830,"base":3},"right_expr":{"type":"numeric_atoms","value":3720,"base":3}}}}},"used_operators":["QbnwKVWMIQ","SUmda5xLS4","uBihLCJcMX","HrjLwUk87U","J0M6qkBnIM","t8gj7n24qd","zR4jO40bMj","U4ylXWHChL","uvdQJvN4PV","03sUfWo75k","3ViojmjbAp"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","IWmyXbctLI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫏≰-21010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1382","layer":4},{"info":"number node, value=6325","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=6325, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-10242","layer":3},{"info":"compute unary expreesion, input=-10242, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":2},{"info":"number node, value=2178","layer":4},{"info":"compute unary expreesion, input=2178, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2178","layer":3},{"info":"number node, value=3870","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=3870, right_input=1449, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14740","layer":3},{"info":"compute binary expreesion, left_input=-2178, right_input=-14740, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=287, right_input=-527, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-36457","layer":1},{"info":"number node, value=4428","layer":4},{"info":"compute unary expreesion, input=4428, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=9172","layer":3},{"info":"number node, value=1830","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=3720, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3723","layer":3},{"info":"compute binary expreesion, left_input=9172, right_input=-3723, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-207218","layer":2},{"info":"compute unary expreesion, input=-207218, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-36457, right_input=177, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-192","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1220012⪚⫏≰22200021)⇔⨋)⪄(-⫏≰2222200)⋣⋖(⫏≰12022100⪶≀⋏⫏≰1222200))⪥(⫖→(⫏≰20002000⊟⇱)⩺⪪⫏≰2111210⨓⫏≰12002210)=⫏≰-21010","reverse_text":"⫏≰-21010=(((⫏≰1220012⪚⫏≰22200021)⇔⨋)⪄(-⫏≰2222200)⋣⋖(⫏≰12022100⪶≀⋏⫏≰1222200))⪥(⫖→(⫏≰20002000⊟⇱)⩺⪪⫏≰2111210⨓⫏≰12002210)","cot":[{"info":"⫏≰1220012⪚⫏≰22200021=⫏≰-112001100","layer":3},{"info":"⫏≰-112001100⇔⨋=⫏≰101122","layer":2},{"info":"-⫏≰2222200=⫏≰-2222200","layer":3},{"info":"⫏≰12022100⪶≀⋏⫏≰1222200=⫏≰-202012221","layer":3},{"info":"⫏≰-2222200⋣⋖⫏≰-202012221=⫏≰-201112","layer":2},{"info":"⫏≰101122⪄⫏≰-201112=⫏≰-1212000021","layer":1},{"info":"⫏≰20002000⊟⇱=⫏≰110120201","layer":3},{"info":"⫏≰2111210⨓⫏≰12002210=⫏≰-12002220","layer":3},{"info":"⫏≰110120201⩺⪪⫏≰-12002220=⫏≰-101112020202","layer":2},{"info":"⫖→⫏≰-101112020202=⫏≰20120","layer":1},{"info":"⫏≰-1212000021⪥⫏≰20120=⫏≰-21010","layer":0}]}
{"id":612,"expression_no_base_symbol":"(≇⪴(⪸($2391$∠↢$3270$)))⊋((⨵≀≌$1626$⪚$3440$)⋝⋈⪟((∨∊⋏$3841$)*$2708$⋕⪉⪜$2623$))","expression":"(≇⪴(⪸(⫏≰10021120∠↢⫏≰11111010)))⊋((⨵≀≌⫏≰2020020⪚⫏≰11201102)⋝⋈⪟((∨∊⋏⫏≰12021021)*⫏≰10201022⋕⪉⪜⫏≰10121011))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34993074,"operation_count":10,"complexity_ratio":3499307.4,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2391,"base":3},"right_expr":{"type":"numeric_atoms","value":3270,"base":3}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1626,"base":3},"right_expr":{"type":"numeric_atoms","value":3440,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3841,"base":3}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2708,"base":3},"right_expr":{"type":"numeric_atoms","value":2623,"base":3}}}}},"used_operators":["W4tP9CfskL","zoVPnxeHJ3","86A5ENbKR9","KbjG8mgYpV","2DDjHMKMc0","srAu1WTS94","HrjLwUk87U","9HNa5Wba9A","R5aXW34M0v","z6LnFrNh4i"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"-Inf","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2391","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=3270, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-54262","layer":3},{"info":"compute unary expreesion, input=-54262, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=540722","layer":2},{"info":"compute unary expreesion, input=540722, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1620826","layer":1},{"info":"number node, value=1626","layer":4},{"info":"number node, value=3440","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=3440, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-3984","layer":3},{"info":"compute unary expreesion, input=-3984, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=15872256","layer":2},{"info":"number node, value=3841","layer":4},{"info":"compute unary expreesion, input=3841, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=78983","layer":3},{"info":"number node, value=2708","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=2708, right_input=2623, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=78983, right_input=2802, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=221310366","layer":2},{"info":"compute binary expreesion, left_input=15872256, right_input=221310366, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=15872256","layer":1},{"info":"compute binary expreesion, left_input=-1620826, right_input=15872256, 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=-inf","layer":0}],"base":3,"result_base":3,"text":"(≇⪴(⪸(⫏≰10021120∠↢⫏≰11111010)))⊋((⨵≀≌⫏≰2020020⪚⫏≰11201102)⋝⋈⪟((∨∊⋏⫏≰12021021)*⫏≰10201022⋕⪉⪜⫏≰10121011))=-Inf","reverse_text":"-Inf=(≇⪴(⪸(⫏≰10021120∠↢⫏≰11111010)))⊋((⨵≀≌⫏≰2020020⪚⫏≰11201102)⋝⋈⪟((∨∊⋏⫏≰12021021)*⫏≰10201022⋕⪉⪜⫏≰10121011))","cot":[{"info":"⫏≰10021120∠↢⫏≰11111010=⫏≰-2202102201","layer":3},{"info":"⪸⫏≰-2202102201=⫏≰1000110201202","layer":2},{"info":"≇⪴⫏≰1000110201202=⫏≰-10001100100121","layer":1},{"info":"⫏≰2020020⪚⫏≰11201102=⫏≰-12110120","layer":3},{"info":"⨵≀≌⫏≰-12110120=⫏≰1002212101122100","layer":2},{"info":"∨∊⋏⫏≰12021021=⫏≰11000100022","layer":3},{"info":"⫏≰10201022⋕⪉⪜⫏≰10121011=⫏≰10211210","layer":3},{"info":"⫏≰11000100022*⫏≰10211210=⫏≰120102102201202020","layer":2},{"info":"⫏≰1002212101122100⋝⋈⪟⫏≰120102102201202020=⫏≰1002212101122100","layer":1},{"info":"⫏≰-10001100100121⊋⫏≰1002212101122100=-Inf","layer":0}]}
{"id":613,"expression_no_base_symbol":"⫡⇟⇯(($1996$⋣⋖$2173$)⪚($9105$∝$8141$))⋥⋵⩄($5324$≒∊$2541$⪉⨛(↪⫪⫘$1886$))","expression":"⫡⇟⇯((⫏≰2201221⋣⋖⫏≰2222111)⪚(⫏≰110111020∝⫏≰102011112))⋥⋵⩄(⫏≰21022012≒∊⫏≰10111010⪉⨛(↪⫪⫘⫏≰2120212))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":207,"operation_count":8,"complexity_ratio":25.875,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1996,"base":3},"right_expr":{"type":"numeric_atoms","value":2173,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":9105,"base":3},"right_expr":{"type":"numeric_atoms","value":8141,"base":3}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5324,"base":3},"right_expr":{"type":"numeric_atoms","value":2541,"base":3}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1886,"base":3}}}}},"used_operators":["qWUSsah53b","7t3wd0Fuz7","HrjLwUk87U","J0M6qkBnIM","cTDWOvIxvz","EWw2JM7wp4","5KTvxBwnZo","9dWsAM3GFt"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"⫏≰122110002010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1996","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=2173, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1996","layer":3},{"info":"number node, value=9105","layer":4},{"info":"number node, value=8141","layer":4},{"info":"compute binary expreesion, left_input=9105, right_input=8141, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=9110","layer":3},{"info":"compute binary expreesion, left_input=1996, right_input=9110, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-14584","layer":2},{"info":"number node, value=5324","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=5324, right_input=2541, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4840","layer":3},{"info":"number node, value=1886","layer":4},{"info":"compute unary expreesion, input=1886, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-4840, right_input=20, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-14365","layer":2},{"info":"compute binary expreesion, left_input=-14584, right_input=-14365, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=171274","layer":1},{"info":"compute unary expreesion, input=171274, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=343416","layer":0}],"base":3,"result_base":3,"text":"⫡⇟⇯((⫏≰2201221⋣⋖⫏≰2222111)⪚(⫏≰110111020∝⫏≰102011112))⋥⋵⩄(⫏≰21022012≒∊⫏≰10111010⪉⨛(↪⫪⫘⫏≰2120212))=⫏≰122110002010","reverse_text":"⫏≰122110002010=⫡⇟⇯((⫏≰2201221⋣⋖⫏≰2222111)⪚(⫏≰110111020∝⫏≰102011112))⋥⋵⩄(⫏≰21022012≒∊⫏≰10111010⪉⨛(↪⫪⫘⫏≰2120212))","cot":[{"info":"⫏≰2201221⋣⋖⫏≰2222111=⫏≰2201221","layer":3},{"info":"⫏≰110111020∝⫏≰102011112=⫏≰110111102","layer":3},{"info":"⫏≰2201221⪚⫏≰110111102=⫏≰-202000011","layer":2},{"info":"⫏≰21022012≒∊⫏≰10111010=⫏≰-20122021","layer":3},{"info":"↪⫪⫘⫏≰2120212=⫏≰202","layer":3},{"info":"⫏≰-20122021⪉⨛⫏≰202=⫏≰-201201001","layer":2},{"info":"⫏≰-202000011⋥⋵⩄⫏≰-201201001=⫏≰22200221111","layer":1},{"info":"⫡⇟⇯⫏≰22200221111=⫏≰122110002010","layer":0}]}
{"id":614,"expression_no_base_symbol":"(∤(⪁⇼($1413$⊉≛↸$5667$)))⫡⨏($9277$↠)⪎↠$3413$≴⪞⇿$2333$⊬⨰((⨑⩽⪐$2080$)⊬⫿⊭)","expression":"(∤(⪁⇼(⫏≰1221100⊉≛↸⫏≰21202220)))⫡⨏(⫏≰110201121↠)⪎↠⫏≰11200102≴⪞⇿⫏≰10012102⊬⨰((⨑⩽⪐⫏≰2212001)⊬⫿⊭)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3252,"operation_count":10,"complexity_ratio":325.2,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1413,"base":3},"right_expr":{"type":"numeric_atoms","value":5667,"base":3}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":9277,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3413,"base":3},"right_expr":{"type":"numeric_atoms","value":2333,"base":3}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2080,"base":3}}}}},"used_operators":["QMFrweE19q","k2HlF1dBQh","ZNVVrZ94lY","DZ8iAZOCBD","s3Fd5m9Dh2","3tVxb0NHM4","LBdsKIvxzf","lvlrscuwVU","v0DYgG9ikt","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫏≰221121021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1413","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=5667, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2826","layer":3},{"info":"compute unary expreesion, input=2826, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute unary expreesion, input=422, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=9277","layer":4},{"info":"compute unary expreesion, input=9277, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=3413","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=2333, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=19719434","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=19719434, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=421","layer":2},{"info":"number node, value=2080","layer":4},{"info":"compute unary expreesion, input=2080, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1807","layer":3},{"info":"compute unary expreesion, input=-1807, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=2019","layer":2},{"info":"compute binary expreesion, left_input=421, right_input=2019, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8918","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=8918, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18664","layer":0}],"base":3,"result_base":3,"text":"(∤(⪁⇼(⫏≰1221100⊉≛↸⫏≰21202220)))⫡⨏(⫏≰110201121↠)⪎↠⫏≰11200102≴⪞⇿⫏≰10012102⊬⨰((⨑⩽⪐⫏≰2212001)⊬⫿⊭)=⫏≰221121021","reverse_text":"⫏≰221121021=(∤(⪁⇼(⫏≰1221100⊉≛↸⫏≰21202220)))⫡⨏(⫏≰110201121↠)⪎↠⫏≰11200102≴⪞⇿⫏≰10012102⊬⨰((⨑⩽⪐⫏≰2212001)⊬⫿⊭)","cot":[{"info":"⫏≰1221100⊉≛↸⫏≰21202220=⫏≰10212200","layer":3},{"info":"⪁⇼⫏≰10212200=⫏≰120122","layer":2},{"info":"∤⫏≰120122=⫏≰100","layer":1},{"info":"⫏≰110201121↠=⫏≰-121120","layer":3},{"info":"⫏≰11200102≴⪞⇿⫏≰10012102=⫏≰1101002211222102","layer":3},{"info":"⫏≰-121120⪎↠⫏≰1101002211222102=⫏≰120121","layer":2},{"info":"⨑⩽⪐⫏≰2212001=⫏≰-2110221","layer":3},{"info":"⫏≰-2110221⊬⫿⊭=⫏≰2202210","layer":2},{"info":"⫏≰120121⊬⨰⫏≰2202210=⫏≰110020022","layer":1},{"info":"⫏≰100⫡⨏⫏≰110020022=⫏≰221121021","layer":0}]}
{"id":615,"expression_no_base_symbol":"(⇤←($1472$+⪬∐$2057$)⋹⋡⊁$6218$⪝$1274$)≬⋮(→⩰$2427$⇂≾⫗$4974$→⨶⪴($2726$⋭≵$1738$))","expression":"(⇤←(⫏≰2000112+⪬∐⫏≰2211012)⋹⋡⊁⫏≰22112022⪝⫏≰1202012)≬⋮(→⩰⫏≰10022220⇂≾⫗⫏≰20211020→⨶⪴(⫏≰10201222⋭≵⫏≰2101101))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2323,"operation_count":9,"complexity_ratio":258.1111111111111,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1472,"base":3},"right_expr":{"type":"numeric_atoms","value":2057,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6218,"base":3},"right_expr":{"type":"numeric_atoms","value":1274,"base":3}}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2427,"base":3},"right_expr":{"type":"numeric_atoms","value":4974,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2726,"base":3},"right_expr":{"type":"numeric_atoms","value":1738,"base":3}}}}},"used_operators":["kbkesczE7y","jfAgQ2OQeM","As8RqfVLgs","2GS7woTJqF","wicAB68Tmb","o8Pngz0Tml","bF6eod5Gvf","aBQ6xLxuTc","jBncVCNhdl"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","g55IO6H4Gj","D4vGDi5EA2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1472","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=2057, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4416","layer":3},{"info":"number node, value=6218","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=6218, right_input=1274, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-20175","layer":3},{"info":"compute binary expreesion, left_input=-4416, right_input=-20175, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=70394","layer":2},{"info":"compute unary expreesion, input=70394, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-350604","layer":1},{"info":"number node, value=2427","layer":4},{"info":"number node, value=4974","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=4974, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2726","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=1738, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=67, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-1518","layer":2},{"info":"compute unary expreesion, input=-1518, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-350604, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇤←(⫏≰2000112+⪬∐⫏≰2211012)⋹⋡⊁⫏≰22112022⪝⫏≰1202012)≬⋮(→⩰⫏≰10022220⇂≾⫗⫏≰20211020→⨶⪴(⫏≰10201222⋭≵⫏≰2101101))=NaN","reverse_text":"NaN=(⇤←(⫏≰2000112+⪬∐⫏≰2211012)⋹⋡⊁⫏≰22112022⪝⫏≰1202012)≬⋮(→⩰⫏≰10022220⇂≾⫗⫏≰20211020→⨶⪴(⫏≰10201222⋭≵⫏≰2101101))","cot":[{"info":"⫏≰2000112+⪬∐⫏≰2211012=⫏≰-20001120","layer":3},{"info":"⫏≰22112022⪝⫏≰1202012=⫏≰-1000200020","layer":3},{"info":"⫏≰-20001120⋹⋡⊁⫏≰-1000200020=⫏≰10120120012","layer":2},{"info":"⇤←⫏≰10120120012=⫏≰-122210221100","layer":1},{"info":"⫏≰10022220⇂≾⫗⫏≰20211020=⫏≰-221001","layer":3},{"info":"⫏≰10201222⋭≵⫏≰2101101=⫏≰2111","layer":3},{"info":"⫏≰-221001→⨶⪴⫏≰2111=⫏≰-2002020","layer":2},{"info":"→⩰⫏≰-2002020=NaN","layer":1},{"info":"⫏≰-122210221100≬⋮NaN=NaN","layer":0}]}
{"id":616,"expression_no_base_symbol":"⋎⨆(⊈($3851$⨓$2179$⩺⪪($3742$⋻⩜⩜$3843$)))","expression":"⋎⨆(⊈(⫏≰12021122⨓⫏≰2222201⩺⪪(⫏≰12010121⋻⩜⩜⫏≰12021100)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":56146,"operation_count":5,"complexity_ratio":11229.2,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3851,"base":3},"right_expr":{"type":"numeric_atoms","value":2179,"base":3}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3742,"base":3},"right_expr":{"type":"numeric_atoms","value":3843,"base":3}}}}},"used_operators":["E64sFOc4tB","RHru8klgy8","uvdQJvN4PV","3ViojmjbAp","oDCm7WA9JY"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","12rbrZMWeM","xUOZtlo3hN","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3851","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=3851, right_input=2179, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2182","layer":3},{"info":"number node, value=3742","layer":4},{"info":"number node, value=3843","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=3843, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7484","layer":3},{"info":"compute binary expreesion, left_input=-2182, right_input=7484, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute unary expreesion, input=-1818, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=1644","layer":1},{"info":"compute unary expreesion, input=1644, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"⋎⨆(⊈(⫏≰12021122⨓⫏≰2222201⩺⪪(⫏≰12010121⋻⩜⩜⫏≰12021100)))=⫏≰0","reverse_text":"⫏≰0=⋎⨆(⊈(⫏≰12021122⨓⫏≰2222201⩺⪪(⫏≰12010121⋻⩜⩜⫏≰12021100)))","cot":[{"info":"⫏≰12021122⨓⫏≰2222201=⫏≰-2222211","layer":3},{"info":"⫏≰12010121⋻⩜⩜⫏≰12021100=⫏≰101021012","layer":3},{"info":"⫏≰-2222211⩺⪪⫏≰101021012=⫏≰-2111100","layer":2},{"info":"⊈⫏≰-2111100=⫏≰2020220","layer":1},{"info":"⋎⨆⫏≰2020220=⫏≰0","layer":0}]}
{"id":617,"expression_no_base_symbol":"≋(($2559$+⇶⊼$1061$⋷$1473$≁$2121$)⨶)","expression":"≋((⫏≰10111210+⇶⊼⫏≰1110022⋷⫏≰2000120≁⫏≰2220120)⨶)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":81,"operation_count":5,"complexity_ratio":16.2,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2559,"base":3},"right_expr":{"type":"numeric_atoms","value":1061,"base":3}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1473,"base":3},"right_expr":{"type":"numeric_atoms","value":2121,"base":3}}}}},"used_operators":["61wBmkZwlr","rFxw8gIMmB","23Mk6UjR3U","TpPTUOHfaN","8N2wDY1A35"],"dependent_operators":["7j4O788W3g","f6k1SAg4EE","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2559","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=1061, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1473","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=2121, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=37703","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=37703, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-134","layer":0}],"base":3,"result_base":3,"text":"≋((⫏≰10111210+⇶⊼⫏≰1110022⋷⫏≰2000120≁⫏≰2220120)⨶)=⫏≰-11222","reverse_text":"⫏≰-11222=≋((⫏≰10111210+⇶⊼⫏≰1110022⋷⫏≰2000120≁⫏≰2220120)⨶)","cot":[{"info":"⫏≰10111210+⇶⊼⫏≰1110022=NaN","layer":3},{"info":"⫏≰2000120≁⫏≰2220120=⫏≰1220201102","layer":3},{"info":"NaN⋷⫏≰1220201102=NaN","layer":2},{"info":"NaN⨶=⫏≰-11222","layer":1},{"info":"≋⫏≰-11222=⫏≰-11222","layer":0}]}
{"id":618,"expression_no_base_symbol":"⨰⫟⨤(⊗($1359$⋥⋵⩄$2719$⇌⫙⪟($8369$⋐⇩⊬)))","expression":"⨰⫟⨤(⊗(⫏≰1212100⋥⋵⩄⫏≰10201201⇌⫙⪟(⫏≰102110222⋐⇩⊬)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":950,"operation_count":5,"complexity_ratio":190.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1359,"base":3},"right_expr":{"type":"numeric_atoms","value":2719,"base":3}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":8369,"base":3}}}}},"used_operators":["Tw270M8GLb","RhiyfpczSx","AFVx7xoS7T","7t3wd0Fuz7","JuuLT1NoCs"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2719, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=8369","layer":4},{"info":"compute unary expreesion, input=8369, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=8369","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=8369, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=267","layer":1},{"info":"compute unary expreesion, input=267, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤(⊗(⫏≰1212100⋥⋵⩄⫏≰10201201⇌⫙⪟(⫏≰102110222⋐⇩⊬)))=NaN","reverse_text":"NaN=⨰⫟⨤(⊗(⫏≰1212100⋥⋵⩄⫏≰10201201⇌⫙⪟(⫏≰102110222⋐⇩⊬)))","cot":[{"info":"⫏≰1212100⋥⋵⩄⫏≰10201201=⫏≰11012","layer":3},{"info":"⫏≰102110222⋐⇩⊬=⫏≰102110222","layer":3},{"info":"⫏≰11012⇌⫙⪟⫏≰102110222=⫏≰11012","layer":2},{"info":"⊗⫏≰11012=⫏≰100220","layer":1},{"info":"⨰⫟⨤⫏≰100220=NaN","layer":0}]}
{"id":619,"expression_no_base_symbol":"(($5511$⩣⫁∢$2274$⊍⩺⋍$5515$⪍↜⋙$2002$)↸($1321$⩦$1627$⫏⊷))↦","expression":"((⫏≰21120010⩣⫁∢⫏≰10010020⊍⩺⋍⫏≰21120021⪍↜⋙⫏≰2202011)↸(⫏≰1210221⩦⫏≰2020021⫏⊷))↦","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12937,"operation_count":7,"complexity_ratio":1848.142857142857,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5511,"base":3},"right_expr":{"type":"numeric_atoms","value":2274,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5515,"base":3},"right_expr":{"type":"numeric_atoms","value":2002,"base":3}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1321,"base":3},"right_expr":{"type":"numeric_atoms","value":1627,"base":3}}}}},"used_operators":["fFznvYxMfW","1eCjFl0mb9","OXDGMFPWZM","JDUIKTTSIa","L05ObWFQCd","dcShxvzhyw","0kmYd0q39Y"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5511","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=5511, right_input=2274, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10861","layer":3},{"info":"number node, value=5515","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=5515, right_input=2002, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=7026","layer":3},{"info":"compute binary expreesion, left_input=-10861, right_input=7026, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=1321","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=1627, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2642","layer":3},{"info":"compute unary expreesion, input=2642, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-820, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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":0}],"base":3,"result_base":3,"text":"((⫏≰21120010⩣⫁∢⫏≰10010020⊍⩺⋍⫏≰21120021⪍↜⋙⫏≰2202011)↸(⫏≰1210221⩦⫏≰2020021⫏⊷))↦=NaN","reverse_text":"NaN=((⫏≰21120010⩣⫁∢⫏≰10010020⊍⩺⋍⫏≰21120021⪍↜⋙⫏≰2202011)↸(⫏≰1210221⩦⫏≰2020021⫏⊷))↦","cot":[{"info":"⫏≰21120010⩣⫁∢⫏≰10010020=⫏≰-112220021","layer":3},{"info":"⫏≰21120021⪍↜⋙⫏≰2202011=⫏≰100122020","layer":3},{"info":"⫏≰-112220021⊍⩺⋍⫏≰100122020=NaN","layer":2},{"info":"⫏≰1210221⩦⫏≰2020021=⫏≰10121212","layer":3},{"info":"⫏≰10121212⫏⊷=⫏≰-1010101","layer":2},{"info":"NaN↸⫏≰-1010101=NaN","layer":1},{"info":"NaN↦=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"$1712$⋹⋡⊁$1102$∑⇟⊟($2825$⋓$2187$)⪨⊡($3910$⊉↱≁$7531$⊍⩺⋍($1188$⫡⨏$1415$))⋻⩜⩜(($1130$⊱⇼⊻$2202$⨒$3504$≁$2292$)⇡)","expression":"⫏≰2100102⋹⋡⊁⫏≰1111211∑⇟⊟(⫏≰10212122⋓⫏≰10000000)⪨⊡(⫏≰12100211⊉↱≁⫏≰101022221⊍⩺⋍(⫏≰1122000⫡⨏⫏≰1221102))⋻⩜⩜((⫏≰1112212⊱⇼⊻⫏≰10000120⨒⫏≰11210210≁⫏≰10010220)⇡)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":103814,"operation_count":12,"complexity_ratio":8651.166666666666,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1712,"base":3},"right_expr":{"type":"numeric_atoms","value":1102,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2825,"base":3},"right_expr":{"type":"numeric_atoms","value":2187,"base":3}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3910,"base":3},"right_expr":{"type":"numeric_atoms","value":7531,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1188,"base":3},"right_expr":{"type":"numeric_atoms","value":1415,"base":3}}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1130,"base":3},"right_expr":{"type":"numeric_atoms","value":2202,"base":3}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3504,"base":3},"right_expr":{"type":"numeric_atoms","value":2292,"base":3}}}}},"used_operators":["oDCm7WA9JY","kuIXHzHcAH","U7g4x0WXJJ","As8RqfVLgs","T2fj7uvVaJ","OXDGMFPWZM","w2P8NbNXyL","QMFrweE19q","UqFzSgLMvQ","y75s1iXyHd","FyVja0WsTP","8N2wDY1A35"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1102, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1852","layer":3},{"info":"number node, value=2825","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=2825, right_input=2187, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1852, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=1852","layer":2},{"info":"number node, value=3910","layer":4},{"info":"number node, value=7531","layer":4},{"info":"compute binary expreesion, left_input=3910, right_input=7531, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-7200","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1415, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9553","layer":3},{"info":"compute binary expreesion, left_input=-7200, right_input=9553, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1852, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=1130","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=2202, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=3504","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=3504, right_input=2292, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=41807","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=41807, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-2232","layer":2},{"info":"compute unary expreesion, input=-2232, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2917, 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":3,"result_base":3,"text":"⫏≰2100102⋹⋡⊁⫏≰1111211∑⇟⊟(⫏≰10212122⋓⫏≰10000000)⪨⊡(⫏≰12100211⊉↱≁⫏≰101022221⊍⩺⋍(⫏≰1122000⫡⨏⫏≰1221102))⋻⩜⩜((⫏≰1112212⊱⇼⊻⫏≰10000120⨒⫏≰11210210≁⫏≰10010220)⇡)=NaN","reverse_text":"NaN=⫏≰2100102⋹⋡⊁⫏≰1111211∑⇟⊟(⫏≰10212122⋓⫏≰10000000)⪨⊡(⫏≰12100211⊉↱≁⫏≰101022221⊍⩺⋍(⫏≰1122000⫡⨏⫏≰1221102))⋻⩜⩜((⫏≰1112212⊱⇼⊻⫏≰10000120⨒⫏≰11210210≁⫏≰10010220)⇡)","cot":[{"info":"⫏≰2100102⋹⋡⊁⫏≰1111211=⫏≰2112121","layer":3},{"info":"⫏≰10212122⋓⫏≰10000000=⫏≰0","layer":3},{"info":"⫏≰2112121∑⇟⊟⫏≰0=⫏≰2112121","layer":2},{"info":"⫏≰12100211⊉↱≁⫏≰101022221=⫏≰-100212200","layer":3},{"info":"⫏≰1122000⫡⨏⫏≰1221102=⫏≰111002211","layer":3},{"info":"⫏≰-100212200⊍⩺⋍⫏≰111002211=NaN","layer":2},{"info":"⫏≰2112121⪨⊡NaN=NaN","layer":1},{"info":"⫏≰1112212⊱⇼⊻⫏≰10000120=⫏≰121002","layer":3},{"info":"⫏≰11210210≁⫏≰10010220=⫏≰2010100102","layer":3},{"info":"⫏≰121002⨒⫏≰2010100102=⫏≰-10001200","layer":2},{"info":"⫏≰-10001200⇡=⫏≰-11000001","layer":1},{"info":"NaN⋻⩜⩜⫏≰-11000001=NaN","layer":0}]}
{"id":621,"expression_no_base_symbol":"((⊆⋠($2034$⊹≧⊝))⫳≱↱($2558$≄⊠$1256$⫩⊇))≚⊃≕(∤↝((⋎⨆$2401$)⇣⩺⋵($5520$⪶≀⋏$4346$)))","expression":"((⊆⋠(⫏≰2210100⊹≧⊝))⫳≱↱(⫏≰10111202≄⊠⫏≰1201112⫩⊇))≚⊃≕(∤↝((⋎⨆⫏≰10021221)⇣⩺⋵(⫏≰21120110⪶≀⋏⫏≰12221222)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":614,"operation_count":10,"complexity_ratio":61.4,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":2034,"base":3}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2558,"base":3},"right_expr":{"type":"numeric_atoms","value":1256,"base":3}}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2401,"base":3}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5520,"base":3},"right_expr":{"type":"numeric_atoms","value":4346,"base":3}}}}},"used_operators":["Bmrmz2XGnR","ZvLB05nZmT","EBhcHTkKd8","LxFB4K6j0n","BjRHVeLaeN","vXNesLlMH1","3UMq87Qwqg","F4yD0voBRQ","E64sFOc4tB","zR4jO40bMj"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⫏≰-2001122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2034","layer":4},{"info":"compute unary expreesion, input=2034, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-8136","layer":3},{"info":"compute unary expreesion, input=-8136, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"number node, value=2558","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=1256, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=24764","layer":3},{"info":"compute unary expreesion, input=24764, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-24722","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-24722, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=2401","layer":4},{"info":"compute unary expreesion, input=2401, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=5520","layer":4},{"info":"number node, value=4346","layer":4},{"info":"compute binary expreesion, left_input=5520, right_input=4346, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-25484","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-25484, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, 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=-260","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=-260, 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=-1502","layer":0}],"base":3,"result_base":3,"text":"((⊆⋠(⫏≰2210100⊹≧⊝))⫳≱↱(⫏≰10111202≄⊠⫏≰1201112⫩⊇))≚⊃≕(∤↝((⋎⨆⫏≰10021221)⇣⩺⋵(⫏≰21120110⪶≀⋏⫏≰12221222)))=⫏≰-2001122","reverse_text":"⫏≰-2001122=((⊆⋠(⫏≰2210100⊹≧⊝))⫳≱↱(⫏≰10111202≄⊠⫏≰1201112⫩⊇))≚⊃≕(∤↝((⋎⨆⫏≰10021221)⇣⩺⋵(⫏≰21120110⪶≀⋏⫏≰12221222)))","cot":[{"info":"⫏≰2210100⊹≧⊝=⫏≰-102011100","layer":3},{"info":"⊆⋠⫏≰-102011100=⫏≰12110101","layer":2},{"info":"⫏≰10111202≄⊠⫏≰1201112=⫏≰1020222012","layer":3},{"info":"⫏≰1020222012⫩⊇=⫏≰-1020220122","layer":2},{"info":"⫏≰12110101⫳≱↱⫏≰-1020220122=⫏≰-21120","layer":1},{"info":"⋎⨆⫏≰10021221=⫏≰0","layer":3},{"info":"⫏≰21120110⪶≀⋏⫏≰12221222=⫏≰-1021221212","layer":3},{"info":"⫏≰0⇣⩺⋵⫏≰-1021221212=⫏≰-100122","layer":2},{"info":"∤↝⫏≰-100122=⫏≰-100122","layer":1},{"info":"⫏≰-21120≚⊃≕⫏≰-100122=⫏≰-2001122","layer":0}]}
{"id":622,"expression_no_base_symbol":"(($1032$⪢$4114$)⋩≍≻)⨸($1009$⨿$3067$⫁⪎($7545$∕⩚$4665$))↳∿⪆(($2977$∑⇟⊟$2606$)⋥⋵⩄($9157$⊝⪿⪼$2034$)∠↢($3553$⪮%⊝$5234$)≦↸(⨆≐≲$1026$))","expression":"((⫏≰1102020⪢⫏≰12122101)⋩≍≻)⨸(⫏≰1101101⨿⫏≰11012121⫁⪎(⫏≰101100110∕⩚⫏≰20101210))↳∿⪆((⫏≰11002021∑⇟⊟⫏≰10120112)⋥⋵⩄(⫏≰110120011⊝⪿⪼⫏≰2210100)∠↢(⫏≰11212121⪮%⊝⫏≰21011212)≦↸(⨆≐≲⫏≰1102000))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":14584,"operation_count":14,"complexity_ratio":1041.7142857142858,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1032,"base":3},"right_expr":{"type":"numeric_atoms","value":4114,"base":3}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1009,"base":3},"right_expr":{"type":"numeric_atoms","value":3067,"base":3}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":7545,"base":3},"right_expr":{"type":"numeric_atoms","value":4665,"base":3}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2977,"base":3},"right_expr":{"type":"numeric_atoms","value":2606,"base":3}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":9157,"base":3},"right_expr":{"type":"numeric_atoms","value":2034,"base":3}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3553,"base":3},"right_expr":{"type":"numeric_atoms","value":5234,"base":3}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1026,"base":3}}}}},"used_operators":["Cw4SuJJGHO","KmoU8R5UQR","WYd1w68Nbz","dWAJyo7jo9","xRrnTEsQ6j","abYXlopdE0","z9ffQ9n5Zr","KbjG8mgYpV","7t3wd0Fuz7","U7g4x0WXJJ","3Oe9XWJUTD","RygbFNSyEJ","IWmyXbctLI","Bi9z9uYZqW"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=4114, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=nan","layer":2},{"info":"number node, value=1009","layer":4},{"info":"number node, value=3067","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3067, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=7545","layer":4},{"info":"number node, value=4665","layer":4},{"info":"compute binary expreesion, left_input=7545, right_input=4665, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-7548","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-7548, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=7229","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7229, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"number node, value=2977","layer":4},{"info":"number node, value=2606","layer":4},{"info":"compute binary expreesion, left_input=2977, right_input=2606, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=9157","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=9157, right_input=2034, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=124817","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=124817, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=3553","layer":4},{"info":"number node, value=5234","layer":4},{"info":"compute binary expreesion, left_input=3553, right_input=5234, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7422","layer":3},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=10895064","layer":3},{"info":"compute binary expreesion, left_input=7422, right_input=10895064, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-21804291","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21804291, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1102020⪢⫏≰12122101)⋩≍≻)⨸(⫏≰1101101⨿⫏≰11012121⫁⪎(⫏≰101100110∕⩚⫏≰20101210))↳∿⪆((⫏≰11002021∑⇟⊟⫏≰10120112)⋥⋵⩄(⫏≰110120011⊝⪿⪼⫏≰2210100)∠↢(⫏≰11212121⪮%⊝⫏≰21011212)≦↸(⨆≐≲⫏≰1102000))=NaN","reverse_text":"NaN=((⫏≰1102020⪢⫏≰12122101)⋩≍≻)⨸(⫏≰1101101⨿⫏≰11012121⫁⪎(⫏≰101100110∕⩚⫏≰20101210))↳∿⪆((⫏≰11002021∑⇟⊟⫏≰10120112)⋥⋵⩄(⫏≰110120011⊝⪿⪼⫏≰2210100)∠↢(⫏≰11212121⪮%⊝⫏≰21011212)≦↸(⨆≐≲⫏≰1102000))","cot":[{"info":"⫏≰1102020⪢⫏≰12122101=NaN","layer":3},{"info":"NaN⋩≍≻=NaN","layer":2},{"info":"⫏≰1101101⨿⫏≰11012121=⫏≰-102211","layer":3},{"info":"⫏≰101100110∕⩚⫏≰20101210=⫏≰-101100120","layer":3},{"info":"⫏≰-102211⫁⪎⫏≰-101100120=⫏≰100220202","layer":2},{"info":"NaN⨸⫏≰100220202=NaN","layer":1},{"info":"⫏≰11002021∑⇟⊟⫏≰10120112=NaN","layer":3},{"info":"⫏≰110120011⊝⪿⪼⫏≰2210100=⫏≰20100012212","layer":3},{"info":"NaN⋥⋵⩄⫏≰20100012212=NaN","layer":2},{"info":"⫏≰11212121⪮%⊝⫏≰21011212=⫏≰101011220","layer":3},{"info":"⨆≐≲⫏≰1102000=⫏≰202111112012220","layer":3},{"info":"⫏≰101011220≦↸⫏≰202111112012220=⫏≰-1112000202212100","layer":2},{"info":"NaN∠↢⫏≰-1112000202212100=NaN","layer":1},{"info":"NaN↳∿⪆NaN=NaN","layer":0}]}
{"id":623,"expression_no_base_symbol":"⨵≀≌(($2971$⫠)⋅⇍($1749$≓∲$3966$)⊓⋫)","expression":"⨵≀≌((⫏≰11002001⫠)⋅⇍(⫏≰2101210≓∲⫏≰12102220)⊓⋫)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":41809,"operation_count":5,"complexity_ratio":8361.8,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2971,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1749,"base":3},"right_expr":{"type":"numeric_atoms","value":3966,"base":3}}}}},"used_operators":["srAu1WTS94","IqGBaFP0uj","AdZkA7nFnk","6SnOT2rOjz","s1XTVnmDOJ"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⫏≰120102011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2971","layer":4},{"info":"compute unary expreesion, input=2971, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=1749","layer":4},{"info":"number node, value=3966","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=3966, 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=18273","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=18273, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-106","layer":1},{"info":"compute unary expreesion, input=-106, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=11236","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌((⫏≰11002001⫠)⋅⇍(⫏≰2101210≓∲⫏≰12102220)⊓⋫)=⫏≰120102011","reverse_text":"⫏≰120102011=⨵≀≌((⫏≰11002001⫠)⋅⇍(⫏≰2101210≓∲⫏≰12102220)⊓⋫)","cot":[{"info":"⫏≰11002001⫠=⫏≰0","layer":3},{"info":"⫏≰2101210≓∲⫏≰12102220=⫏≰221001210","layer":3},{"info":"⫏≰0⋅⇍⫏≰221001210=⫏≰-211","layer":2},{"info":"⫏≰-211⊓⋫=⫏≰-10221","layer":1},{"info":"⨵≀≌⫏≰-10221=⫏≰120102011","layer":0}]}
{"id":624,"expression_no_base_symbol":"≦∁(($6668$↸$1763$)⩷∴($9223$⪛⫼$3959$))∓⋝($1802$∖$6927$)↢($5558$⨪↰⇹$2421$)","expression":"≦∁((⫏≰100010222↸⫏≰2102022)⩷∴(⫏≰110122121⪛⫼⫏≰12102122))∓⋝(⫏≰2110202∖⫏≰100111120)↢(⫏≰21121212⨪↰⇹⫏≰10022200)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8390,"operation_count":8,"complexity_ratio":1048.75,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":6668,"base":3},"right_expr":{"type":"numeric_atoms","value":1763,"base":3}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":9223,"base":3},"right_expr":{"type":"numeric_atoms","value":3959,"base":3}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1802,"base":3},"right_expr":{"type":"numeric_atoms","value":6927,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5558,"base":3},"right_expr":{"type":"numeric_atoms","value":2421,"base":3}}}}},"used_operators":["9ICcGScMcE","PoHhknlbAi","9FxExcQeMw","1eCjFl0mb9","hyuBjUqXlG","WR6HLWljOP","tXD093vOjl","tmPS8pqC7x"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rJVOvQCfKK"],"result":"⫏≰-1112122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6668","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=6668, right_input=1763, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6668","layer":3},{"info":"number node, value=9223","layer":4},{"info":"number node, value=3959","layer":4},{"info":"compute binary expreesion, left_input=9223, right_input=3959, 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":3},{"info":"compute binary expreesion, left_input=6668, right_input=968, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11368","layer":2},{"info":"number node, value=1802","layer":4},{"info":"number node, value=6927","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=6927, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=5558","layer":4},{"info":"number node, value=2421","layer":4},{"info":"compute binary expreesion, left_input=5558, right_input=2421, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5558","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5558, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=11368, right_input=-484, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1124","layer":0}],"base":3,"result_base":3,"text":"≦∁((⫏≰100010222↸⫏≰2102022)⩷∴(⫏≰110122121⪛⫼⫏≰12102122))∓⋝(⫏≰2110202∖⫏≰100111120)↢(⫏≰21121212⨪↰⇹⫏≰10022200)=⫏≰-1112122","reverse_text":"⫏≰-1112122=≦∁((⫏≰100010222↸⫏≰2102022)⩷∴(⫏≰110122121⪛⫼⫏≰12102122))∓⋝(⫏≰2110202∖⫏≰100111120)↢(⫏≰21121212⨪↰⇹⫏≰10022200)","cot":[{"info":"⫏≰100010222↸⫏≰2102022=⫏≰100010222","layer":3},{"info":"⫏≰110122121⪛⫼⫏≰12102122=⫏≰1022212","layer":3},{"info":"⫏≰100010222⩷∴⫏≰1022212=⫏≰120121001","layer":2},{"info":"⫏≰2110202∖⫏≰100111120=⫏≰0","layer":3},{"info":"⫏≰21121212⨪↰⇹⫏≰10022200=⫏≰21121212","layer":3},{"info":"⫏≰0↢⫏≰21121212=⫏≰-122221","layer":2},{"info":"⫏≰120121001∓⋝⫏≰-122221=⫏≰2111","layer":1},{"info":"≦∁⫏≰2111=⫏≰-1112122","layer":0}]}
{"id":625,"expression_no_base_symbol":"(($4588$⫁$2734$⨭⪣($1238$∙∹∝$1273$))⪡(⫎≠⋺($6796$⨒$1164$)))⩘(($3139$⊔$8953$)⨥⫆(↨⩢⫨$3390$)≒∊(⩷$2657$)⨼⩣($1915$⫲))","expression":"((⫏≰20021221⫁⫏≰10202021⨭⪣(⫏≰1200212∙∹∝⫏≰1202011))⪡(⫎≠⋺(⫏≰100022201⨒⫏≰1121010)))⩘((⫏≰11022021⊔⫏≰110021121)⨥⫆(↨⩢⫨⫏≰11122120)≒∊(⩷⫏≰10122102)⨼⩣(⫏≰2121221⫲))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":890,"operation_count":14,"complexity_ratio":63.57142857142857,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4588,"base":3},"right_expr":{"type":"numeric_atoms","value":2734,"base":3}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1238,"base":3},"right_expr":{"type":"numeric_atoms","value":1273,"base":3}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6796,"base":3},"right_expr":{"type":"numeric_atoms","value":1164,"base":3}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3139,"base":3},"right_expr":{"type":"numeric_atoms","value":8953,"base":3}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":3390,"base":3}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2657,"base":3}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1915,"base":3}}}}},"used_operators":["cHh1gJQ2o6","oraRL2iQuh","kn8WO9XteQ","0ajvFaJAv0","HmxsFra2vL","LYeZOJ0nQG","y75s1iXyHd","5KTvxBwnZo","yXekIHxTD4","E4l6HwMY31","Z5CJsN7DuW","JxwMv5le6e","1h0rLqGiFr","9xnGDUPbC6"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","cHh1gJQ2o6","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4588","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=4588, right_input=2734, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1273, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-482","layer":2},{"info":"number node, value=6796","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=6796, right_input=1164, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-40404","layer":3},{"info":"compute unary expreesion, input=-40404, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=-482, right_input=-709, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1932","layer":1},{"info":"number node, value=3139","layer":4},{"info":"number node, value=8953","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=8953, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=48643","layer":3},{"info":"number node, value=3390","layer":4},{"info":"compute unary expreesion, input=3390, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=48643, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1156","layer":2},{"info":"number node, value=2657","layer":4},{"info":"compute unary expreesion, input=2657, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-31963","layer":3},{"info":"number node, value=1915","layer":4},{"info":"compute unary expreesion, input=1915, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1642","layer":3},{"info":"compute binary expreesion, left_input=-31963, right_input=1642, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1156, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1932, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20021221⫁⫏≰10202021⨭⪣(⫏≰1200212∙∹∝⫏≰1202011))⪡(⫎≠⋺(⫏≰100022201⨒⫏≰1121010)))⩘((⫏≰11022021⊔⫏≰110021121)⨥⫆(↨⩢⫨⫏≰11122120)≒∊(⩷⫏≰10122102)⨼⩣(⫏≰2121221⫲))=⫏≰12221","reverse_text":"⫏≰12221=((⫏≰20021221⫁⫏≰10202021⨭⪣(⫏≰1200212∙∹∝⫏≰1202011))⪡(⫎≠⋺(⫏≰100022201⨒⫏≰1121010)))⩘((⫏≰11022021⊔⫏≰110021121)⨥⫆(↨⩢⫨⫏≰11122120)≒∊(⩷⫏≰10122102)⨼⩣(⫏≰2121221⫲))","cot":[{"info":"⫏≰20021221⫁⫏≰10202021=⫏≰12221","layer":3},{"info":"⫏≰1200212∙∹∝⫏≰1202011=⫏≰0","layer":3},{"info":"⫏≰12221⨭⪣⫏≰0=⫏≰-122212","layer":2},{"info":"⫏≰100022201⨒⫏≰1121010=⫏≰-2001102110","layer":3},{"info":"⫎≠⋺⫏≰-2001102110=⫏≰-222021","layer":2},{"info":"⫏≰-122212⪡⫏≰-222021=⫏≰2122120","layer":1},{"info":"⫏≰11022021⊔⫏≰110021121=⫏≰2110201121","layer":3},{"info":"↨⩢⫨⫏≰11122120=⫏≰0","layer":3},{"info":"⫏≰2110201121⨥⫆⫏≰0=⫏≰-1120211","layer":2},{"info":"⩷⫏≰10122102=⫏≰-1121211211","layer":3},{"info":"⫏≰2121221⫲=⫏≰2020211","layer":3},{"info":"⫏≰-1121211211⨼⩣⫏≰2020211=NaN","layer":2},{"info":"⫏≰-1120211≒∊NaN=NaN","layer":1},{"info":"⫏≰2122120⩘NaN=⫏≰12221","layer":0}]}
{"id":626,"expression_no_base_symbol":"∂⩏⊆(⊖∈(($6976$∕⩚$1973$)⋩≍≻))","expression":"∂⩏⊆(⊖∈((⫏≰100120101∕⩚⫏≰2201002)⋩≍≻))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":89311,"operation_count":4,"complexity_ratio":22327.75,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6976,"base":3},"right_expr":{"type":"numeric_atoms","value":1973,"base":3}}}}},"used_operators":["8WDwsbhb0R","YFxL8Sc2Zy","WYd1w68Nbz","z9ffQ9n5Zr"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6976","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=6976, right_input=1973, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6979","layer":3},{"info":"compute unary expreesion, input=-6979, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-27413","layer":2},{"info":"compute unary expreesion, input=-27413, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∂⩏⊆(⊖∈((⫏≰100120101∕⩚⫏≰2201002)⋩≍≻))=NaN","reverse_text":"NaN=∂⩏⊆(⊖∈((⫏≰100120101∕⩚⫏≰2201002)⋩≍≻))","cot":[{"info":"⫏≰100120101∕⩚⫏≰2201002=⫏≰-100120111","layer":3},{"info":"⫏≰-100120111⋩≍≻=⫏≰-1101121022","layer":2},{"info":"⊖∈⫏≰-1101121022=Inf","layer":1},{"info":"∂⩏⊆Inf=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"⫓⪴(≉((⩪∧⨌$1340$)⨹))","expression":"⫓⪴(≉((⩪∧⨌⫏≰1211122)⨹))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":30553,"operation_count":4,"complexity_ratio":7638.25,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1340,"base":3}}}}},"used_operators":["eLxqMNBOBk","e1ybzncUwg","UnCoSGIALn","6iOiAJX1F8"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"⫏≰1221001120200210211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=13400","layer":3},{"info":"compute unary expreesion, input=13400, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=26800","layer":2},{"info":"compute unary expreesion, input=26800, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=27331","layer":1},{"info":"compute unary expreesion, input=27331, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=746983561","layer":0}],"base":3,"result_base":3,"text":"⫓⪴(≉((⩪∧⨌⫏≰1211122)⨹))=⫏≰1221001120200210211","reverse_text":"⫏≰1221001120200210211=⫓⪴(≉((⩪∧⨌⫏≰1211122)⨹))","cot":[{"info":"⩪∧⨌⫏≰1211122=⫏≰200101022","layer":3},{"info":"⫏≰200101022⨹=⫏≰1100202121","layer":2},{"info":"≉⫏≰1100202121=⫏≰1101111021","layer":1},{"info":"⫓⪴⫏≰1101111021=⫏≰1221001120200210211","layer":0}]}
{"id":628,"expression_no_base_symbol":"(⊄⩳↩(∐⩳⋚($1173$∠↢$4353$)))≬⇓(($1403$∼$4118$)⊴⇁⪶)⪨⊡(($5109$↑)⫚↹⊑($1780$∕⩚$2874$))","expression":"(⊄⩳↩(∐⩳⋚(⫏≰1121110∠↢⫏≰12222020)))≬⇓((⫏≰1220222∼⫏≰12122112)⊴⇁⪶)⪨⊡((⫏≰21000020↑)⫚↹⊑(⫏≰2102221∕⩚⫏≰10221110))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2190,"operation_count":10,"complexity_ratio":219.0,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1173,"base":3},"right_expr":{"type":"numeric_atoms","value":4353,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1403,"base":3},"right_expr":{"type":"numeric_atoms","value":4118,"base":3}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":5109,"base":3}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1780,"base":3},"right_expr":{"type":"numeric_atoms","value":2874,"base":3}}}}},"used_operators":["jWTQ2TZYIH","8w2t5hMYqp","SL6IHkK8vl","KbjG8mgYpV","kuIXHzHcAH","oo9mF6JIpo","DyGG3AbaNP","dfKe02y8D2","BThhyOhh10","z9ffQ9n5Zr"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⫏≰-211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":4},{"info":"number node, value=4353","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=4353, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-64552","layer":3},{"info":"compute unary expreesion, input=-64552, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-18756018","layer":2},{"info":"compute unary expreesion, input=-18756018, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=56268054","layer":1},{"info":"number node, value=1403","layer":4},{"info":"number node, value=4118","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=4118, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 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=nan","layer":2},{"info":"number node, value=5109","layer":4},{"info":"compute unary expreesion, input=5109, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=1780","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=2874, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1783","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=-1783, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=2577","layer":1},{"info":"compute binary expreesion, left_input=56268054, right_input=2577, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":3,"result_base":3,"text":"(⊄⩳↩(∐⩳⋚(⫏≰1121110∠↢⫏≰12222020)))≬⇓((⫏≰1220222∼⫏≰12122112)⊴⇁⪶)⪨⊡((⫏≰21000020↑)⫚↹⊑(⫏≰2102221∕⩚⫏≰10221110))=⫏≰-211","reverse_text":"⫏≰-211=(⊄⩳↩(∐⩳⋚(⫏≰1121110∠↢⫏≰12222020)))≬⇓((⫏≰1220222∼⫏≰12122112)⊴⇁⪶)⪨⊡((⫏≰21000020↑)⫚↹⊑(⫏≰2102221∕⩚⫏≰10221110))","cot":[{"info":"⫏≰1121110∠↢⫏≰12222020=⫏≰-10021112211","layer":3},{"info":"∐⩳⋚⫏≰-10021112211=⫏≰-1022021220102100","layer":2},{"info":"⊄⩳↩⫏≰-1022021220102100=⫏≰10220212201021000","layer":1},{"info":"⫏≰1220222∼⫏≰12122112=NaN","layer":3},{"info":"NaN⊴⇁⪶=NaN","layer":2},{"info":"⫏≰21000020↑=⫏≰22020","layer":3},{"info":"⫏≰2102221∕⩚⫏≰10221110=⫏≰-2110001","layer":3},{"info":"⫏≰22020⫚↹⊑⫏≰-2110001=⫏≰-121120","layer":2},{"info":"NaN⪨⊡⫏≰-121120=⫏≰10112110","layer":1},{"info":"⫏≰10220212201021000≬⇓⫏≰10112110=⫏≰-211","layer":0}]}
{"id":629,"expression_no_base_symbol":"((≱⇩⩕$1168$⫯⪬∳$1636$)⊍)⩟","expression":"((≱⇩⩕⫏≰1121021⫯⪬∳⫏≰2020121)⊍)⩟","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":70,"operation_count":4,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1168,"base":3},"right_expr":{"type":"numeric_atoms","value":1636,"base":3}}}}},"used_operators":["fOIeswaMU4","3nqY3DE9mg","3DZMoQKiUl","d7ASUq0ydm"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⫏≰1121210110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1636, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4237","layer":3},{"info":"compute unary expreesion, input=4237, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-3411","layer":1},{"info":"compute unary expreesion, input=-3411, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=31926","layer":0}],"base":3,"result_base":3,"text":"((≱⇩⩕⫏≰1121021⫯⪬∳⫏≰2020121)⊍)⩟=⫏≰1121210110","reverse_text":"⫏≰1121210110=((≱⇩⩕⫏≰1121021⫯⪬∳⫏≰2020121)⊍)⩟","cot":[{"info":"⫏≰1121021⫯⪬∳⫏≰2020121=⫏≰12210221","layer":3},{"info":"≱⇩⩕⫏≰12210221=⫏≰11012","layer":2},{"info":"⫏≰11012⊍=⫏≰-11200100","layer":1},{"info":"⫏≰-11200100⩟=⫏≰1121210110","layer":0}]}
{"id":630,"expression_no_base_symbol":"⊁⨺(($3401$⨫⇇↔$4631$)⊱⇼⊻(⇖$2287$))⩖⊿(↘($5268$⊭↱$1005$))","expression":"⊁⨺((⫏≰11122222⨫⇇↔⫏≰20100112)⊱⇼⊻(⇖⫏≰10010201))⩖⊿(↘(⫏≰21020010⊭↱⫏≰1101020))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":103,"operation_count":7,"complexity_ratio":14.714285714285714,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3401,"base":3},"right_expr":{"type":"numeric_atoms","value":4631,"base":3}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2287,"base":3}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5268,"base":3},"right_expr":{"type":"numeric_atoms","value":1005,"base":3}}}}},"used_operators":["PxiHyQbrIp","RZ5CV9rWsJ","FyVja0WsTP","LXhwmt4mBO","tfWHHpNKUN","LdNpr8hQHL","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2DQ55sFlQl","uFcxV4UQCh","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-200110100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3401","layer":4},{"info":"number node, value=4631","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=4631, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2287","layer":4},{"info":"compute unary expreesion, input=2287, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=160, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=694","layer":2},{"info":"number node, value=5268","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=5268, right_input=1005, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8521","layer":3},{"info":"compute unary expreesion, input=-8521, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=103","layer":2},{"info":"compute binary expreesion, left_input=694, right_input=103, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2034","layer":1},{"info":"compute unary expreesion, input=-2034, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-13455","layer":0}],"base":3,"result_base":3,"text":"⊁⨺((⫏≰11122222⨫⇇↔⫏≰20100112)⊱⇼⊻(⇖⫏≰10010201))⩖⊿(↘(⫏≰21020010⊭↱⫏≰1101020))=⫏≰-200110100","reverse_text":"⫏≰-200110100=⊁⨺((⫏≰11122222⨫⇇↔⫏≰20100112)⊱⇼⊻(⇖⫏≰10010201))⩖⊿(↘(⫏≰21020010⊭↱⫏≰1101020))","cot":[{"info":"⫏≰11122222⨫⇇↔⫏≰20100112=⫏≰-201112","layer":3},{"info":"⇖⫏≰10010201=⫏≰12221","layer":3},{"info":"⫏≰-201112⊱⇼⊻⫏≰12221=⫏≰221201","layer":2},{"info":"⫏≰21020010⊭↱⫏≰1101020=⫏≰-102200121","layer":3},{"info":"↘⫏≰-102200121=⫏≰10211","layer":2},{"info":"⫏≰221201⩖⊿⫏≰10211=⫏≰-2210100","layer":1},{"info":"⊁⨺⫏≰-2210100=⫏≰-200110100","layer":0}]}
{"id":631,"expression_no_base_symbol":"($1623$↳∿⪆$1143$⫡⨏(⨆≐≲$2754$))⊢($1033$∝$3348$⨵⪆$1536$≀⩗∶$8551$)⪁((($4597$⫁⪎$5210$)⪔⊥(⋣$5432$))⋩≍≻)","expression":"(⫏≰2020010↳∿⪆⫏≰1120100⫡⨏(⨆≐≲⫏≰10210000))⊢(⫏≰1102021∝⫏≰11121000⨵⪆⫏≰2002220≀⩗∶⫏≰102201201)⪁(((⫏≰20022021⫁⪎⫏≰21010222)⪔⊥(⋣⫏≰21110012))⋩≍≻)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2848,"operation_count":12,"complexity_ratio":237.33333333333334,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1623,"base":3},"right_expr":{"type":"numeric_atoms","value":1143,"base":3}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2754,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1033,"base":3},"right_expr":{"type":"numeric_atoms","value":3348,"base":3}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1536,"base":3},"right_expr":{"type":"numeric_atoms","value":8551,"base":3}}}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4597,"base":3},"right_expr":{"type":"numeric_atoms","value":5210,"base":3}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":5432,"base":3}}}}},"used_operators":["I7sXao9hZE","5twsqlHp2o","QMFrweE19q","Cw4SuJJGHO","Bi9z9uYZqW","2DQ55sFlQl","cTDWOvIxvz","8INZBEW696","WYd1w68Nbz","HJ9erzHUuu","xRrnTEsQ6j","zQWRhDnn8F"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1623","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=1143, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2754","layer":4},{"info":"compute unary expreesion, input=2754, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=29806296","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=29806296, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=1033","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=3348, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1038","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=8551","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=8551, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-15","layer":3},{"info":"compute binary expreesion, left_input=1038, right_input=-15, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"number node, value=4597","layer":4},{"info":"number node, value=5210","layer":4},{"info":"compute binary expreesion, left_input=4597, right_input=5210, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-613","layer":3},{"info":"number node, value=5432","layer":4},{"info":"compute unary expreesion, input=5432, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1596913","layer":3},{"info":"compute binary expreesion, left_input=-613, right_input=-1596913, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1412","layer":2},{"info":"compute unary expreesion, input=1412, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2020010↳∿⪆⫏≰1120100⫡⨏(⨆≐≲⫏≰10210000))⊢(⫏≰1102021∝⫏≰11121000⨵⪆⫏≰2002220≀⩗∶⫏≰102201201)⪁(((⫏≰20022021⫁⪎⫏≰21010222)⪔⊥(⋣⫏≰21110012))⋩≍≻)=NaN","reverse_text":"NaN=(⫏≰2020010↳∿⪆⫏≰1120100⫡⨏(⨆≐≲⫏≰10210000))⊢(⫏≰1102021∝⫏≰11121000⨵⪆⫏≰2002220≀⩗∶⫏≰102201201)⪁(((⫏≰20022021⫁⪎⫏≰21010222)⪔⊥(⋣⫏≰21110012))⋩≍≻)","cot":[{"info":"⫏≰2020010↳∿⪆⫏≰1120100=NaN","layer":3},{"info":"⨆≐≲⫏≰10210000=⫏≰2002002022112220","layer":3},{"info":"NaN⫡⨏⫏≰2002002022112220=NaN","layer":2},{"info":"⫏≰1102021∝⫏≰11121000=⫏≰1102110","layer":3},{"info":"⫏≰2002220≀⩗∶⫏≰102201201=⫏≰-120","layer":3},{"info":"⫏≰1102110⨵⪆⫏≰-120=⫏≰12221","layer":2},{"info":"NaN⊢⫏≰12221=NaN","layer":1},{"info":"⫏≰20022021⫁⪎⫏≰21010222=⫏≰-211201","layer":3},{"info":"⋣⫏≰21110012=⫏≰-10000010112221","layer":3},{"info":"⫏≰-211201⪔⊥⫏≰-10000010112221=⫏≰1221022","layer":2},{"info":"⫏≰1221022⋩≍≻=⫏≰-2001","layer":1},{"info":"NaN⪁⫏≰-2001=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"((⪝⪂⫅$1929$)⩌⋺(≸$1595$))≦↸($5050$⨽$2030$⨵⪆(⇜⊴$3632$))⨒(($4394$⋝⋈⪟$1757$)⩘$8653$∌$1812$∙∹∝($1116$⪒$1574$)⊮⊟↴($2237$⪕$6211$))","expression":"((⪝⪂⫅⫏≰2122110)⩌⋺(≸⫏≰2012002))≦↸(⫏≰20221001⨽⫏≰2210012⨵⪆(⇜⊴⫏≰11222112))⨒((⫏≰20000202⋝⋈⪟⫏≰2102002)⩘⫏≰102212111∌⫏≰2111010∙∹∝(⫏≰1112100⪒⫏≰2011022)⊮⊟↴(⫏≰10001212⪕⫏≰22112001))","highest_n_order":2,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5555,"operation_count":15,"complexity_ratio":370.3333333333333,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1929,"base":3}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1595,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5050,"base":3},"right_expr":{"type":"numeric_atoms","value":2030,"base":3}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3632,"base":3}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4394,"base":3},"right_expr":{"type":"numeric_atoms","value":1757,"base":3}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":8653,"base":3},"right_expr":{"type":"numeric_atoms","value":1812,"base":3}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1116,"base":3},"right_expr":{"type":"numeric_atoms","value":1574,"base":3}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2237,"base":3},"right_expr":{"type":"numeric_atoms","value":6211,"base":3}}}}},"used_operators":["y75s1iXyHd","RygbFNSyEJ","g7Hmc5v1ko","XTarYq4gQB","eOf03JbCpp","2DQ55sFlQl","8HhzD0ZcuI","XwDhCwWbUn","HmxsFra2vL","cHh1gJQ2o6","2DDjHMKMc0","8cLx32lpNA","QDVgd2eftb","f6k1SAg4EE","umQnsF7QlU"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","8w2t5hMYqp","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⫏≰1","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1929","layer":4},{"info":"compute unary expreesion, input=1929, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-283563","layer":3},{"info":"number node, value=1595","layer":4},{"info":"compute unary expreesion, input=1595, 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":3},{"info":"compute binary expreesion, left_input=-283563, right_input=58, 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=283384","layer":2},{"info":"number node, value=5050","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=5050, right_input=2030, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-76512276","layer":3},{"info":"number node, value=3632","layer":4},{"info":"compute unary expreesion, input=3632, 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=-843438","layer":3},{"info":"compute binary expreesion, left_input=-76512276, right_input=-843438, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=283384, right_input=160, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-566407","layer":1},{"info":"number node, value=4394","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=1757, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4394","layer":3},{"info":"number node, value=8653","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=8653, right_input=1812, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1812","layer":3},{"info":"compute binary expreesion, left_input=4394, right_input=-1812, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1116","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=1574, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2690","layer":3},{"info":"number node, value=2237","layer":4},{"info":"number node, value=6211","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=6211, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=-2690, right_input=-55, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, 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=-566407, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":3,"result_base":3,"text":"((⪝⪂⫅⫏≰2122110)⩌⋺(≸⫏≰2012002))≦↸(⫏≰20221001⨽⫏≰2210012⨵⪆(⇜⊴⫏≰11222112))⨒((⫏≰20000202⋝⋈⪟⫏≰2102002)⩘⫏≰102212111∌⫏≰2111010∙∹∝(⫏≰1112100⪒⫏≰2011022)⊮⊟↴(⫏≰10001212⪕⫏≰22112001))=⫏≰1","reverse_text":"⫏≰1=((⪝⪂⫅⫏≰2122110)⩌⋺(≸⫏≰2012002))≦↸(⫏≰20221001⨽⫏≰2210012⨵⪆(⇜⊴⫏≰11222112))⨒((⫏≰20000202⋝⋈⪟⫏≰2102002)⩘⫏≰102212111∌⫏≰2111010∙∹∝(⫏≰1112100⪒⫏≰2011022)⊮⊟↴(⫏≰10001212⪕⫏≰22112001))","cot":[{"info":"⪝⪂⫅⫏≰2122110=⫏≰-112101222100","layer":3},{"info":"≸⫏≰2012002=⫏≰2011","layer":3},{"info":"⫏≰-112101222100⩌⋺⫏≰2011=⫏≰112101201201","layer":2},{"info":"⫏≰20221001⨽⫏≰2210012=⫏≰-12022222020010000","layer":3},{"info":"⇜⊴⫏≰11222112=⫏≰-1120211222110","layer":3},{"info":"⫏≰-12022222020010000⨵⪆⫏≰-1120211222110=⫏≰12221","layer":2},{"info":"⫏≰112101201201≦↸⫏≰12221=⫏≰-1001202222001","layer":1},{"info":"⫏≰20000202⋝⋈⪟⫏≰2102002=⫏≰20000202","layer":3},{"info":"⫏≰102212111∌⫏≰2111010=⫏≰-2111010","layer":3},{"info":"⫏≰20000202⩘⫏≰-2111010=⫏≰12221","layer":2},{"info":"⫏≰1112100⪒⫏≰2011022=⫏≰-10200122","layer":3},{"info":"⫏≰10001212⪕⫏≰22112001=⫏≰-2001","layer":3},{"info":"⫏≰-10200122⊮⊟↴⫏≰-2001=⫏≰0","layer":2},{"info":"⫏≰12221∙∹∝⫏≰0=⫏≰0","layer":1},{"info":"⫏≰-1001202222001⨒⫏≰0=⫏≰1","layer":0}]}
{"id":633,"expression_no_base_symbol":"⊗($7006$⋕⪉⪜$1909$⨚($4568$-$1148$)≓∲(⊵⊁($3684$⩭)))","expression":"⊗(⫏≰100121111⋕⪉⪜⫏≰2121201⨚(⫏≰20021012-⫏≰1120112)≓∲(⊵⊁(⫏≰12001110⩭)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23119,"operation_count":7,"complexity_ratio":3302.714285714286,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":7006,"base":3},"right_expr":{"type":"numeric_atoms","value":1909,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4568,"base":3},"right_expr":{"type":"numeric_atoms","value":1148,"base":3}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":3684,"base":3}}}}},"used_operators":["RhiyfpczSx","s1XTVnmDOJ","nREPSIbpBE","z6LnFrNh4i","rysDP5nf3Z","AvED76WdY7","yIPP7u6H5x"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","BjRHVeLaeN","12rbrZMWeM","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","uBihLCJcMX","k8jYdgA6NY","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF"],"result":"⫏≰102121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7006","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=7006, right_input=1909, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=4568","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=4568, right_input=1148, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3420","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=3420, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7142","layer":2},{"info":"number node, value=3684","layer":4},{"info":"compute unary expreesion, input=3684, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7142, 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=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":3,"result_base":3,"text":"⊗(⫏≰100121111⋕⪉⪜⫏≰2121201⨚(⫏≰20021012-⫏≰1120112)≓∲(⊵⊁(⫏≰12001110⩭)))=⫏≰102121","reverse_text":"⫏≰102121=⊗(⫏≰100121111⋕⪉⪜⫏≰2121201⨚(⫏≰20021012-⫏≰1120112)≓∲(⊵⊁(⫏≰12001110⩭)))","cot":[{"info":"⫏≰100121111⋕⪉⪜⫏≰2121201=⫏≰10211210","layer":3},{"info":"⫏≰20021012-⫏≰1120112=⫏≰11200200","layer":3},{"info":"⫏≰10211210⨚⫏≰11200200=⫏≰-100210112","layer":2},{"info":"⫏≰12001110⩭=NaN","layer":3},{"info":"⊵⊁NaN=NaN","layer":2},{"info":"⫏≰-100210112≓∲NaN=⫏≰2111","layer":1},{"info":"⊗⫏≰2111=⫏≰102121","layer":0}]}
{"id":634,"expression_no_base_symbol":"($1441$⪶≀⋏$7027$)⪝(⨣⨃⇪$5941$)⨓($1498$≳⇉$6266$⫚↹⊑$3976$⊴$1167$)⊾⪯⋞($1624$⋾⨃∁$2027$∠⫱$3040$∋$2363$)⨟⋌⩍(↯⪼(⪹$1746$))","expression":"(⫏≰1222101⪶≀⋏⫏≰100122021)⪝(⨣⨃⇪⫏≰22011001)⨓(⫏≰2001111≳⇉⫏≰22121002⫚↹⊑⫏≰12110021⊴⫏≰1121020)⊾⪯⋞(⫏≰2020011⋾⨃∁⫏≰2210002∠⫱⫏≰11011121∋⫏≰10020112)⨟⋌⩍(↯⪼(⪹⫏≰2101200))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":587505060,"operation_count":14,"complexity_ratio":41964647.14285714,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1441,"base":3},"right_expr":{"type":"numeric_atoms","value":7027,"base":3}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":5941,"base":3}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1498,"base":3},"right_expr":{"type":"numeric_atoms","value":6266,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3976,"base":3},"right_expr":{"type":"numeric_atoms","value":1167,"base":3}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1624,"base":3},"right_expr":{"type":"numeric_atoms","value":2027,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3040,"base":3},"right_expr":{"type":"numeric_atoms","value":2363,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1746,"base":3}}}}},"used_operators":["HK0tfVPux8","3ViojmjbAp","wicAB68Tmb","zR4jO40bMj","AcOhelriW5","dfKe02y8D2","V0kx6qeWkN","Nsiff2A1zJ","rGHVDoGpnC","QvoQhV0rrE","212REbPD9h","ukq6epAj5P","8jW3W4yZS5","USyYr0JgAa"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"number node, value=7027","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=7027, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18609","layer":3},{"info":"number node, value=5941","layer":4},{"info":"compute unary expreesion, input=5941, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=-18609, right_input=1405, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-179303","layer":2},{"info":"number node, value=1498","layer":4},{"info":"number node, value=6266","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=6266, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=3976","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=1167, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-179303, right_input=-447, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-450","layer":1},{"info":"number node, value=1624","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=2027, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=41062872","layer":3},{"info":"number node, value=3040","layer":4},{"info":"number node, value=2363","layer":4},{"info":"compute binary expreesion, left_input=3040, right_input=2363, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5000544","layer":3},{"info":"compute binary expreesion, left_input=41062872, right_input=5000544, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1566","layer":3},{"info":"compute unary expreesion, input=-1566, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=2215","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=2215, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-450, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1222101⪶≀⋏⫏≰100122021)⪝(⨣⨃⇪⫏≰22011001)⨓(⫏≰2001111≳⇉⫏≰22121002⫚↹⊑⫏≰12110021⊴⫏≰1121020)⊾⪯⋞(⫏≰2020011⋾⨃∁⫏≰2210002∠⫱⫏≰11011121∋⫏≰10020112)⨟⋌⩍(↯⪼(⪹⫏≰2101200))=NaN","reverse_text":"NaN=(⫏≰1222101⪶≀⋏⫏≰100122021)⪝(⨣⨃⇪⫏≰22011001)⨓(⫏≰2001111≳⇉⫏≰22121002⫚↹⊑⫏≰12110021⊴⫏≰1121020)⊾⪯⋞(⫏≰2020011⋾⨃∁⫏≰2210002∠⫱⫏≰11011121∋⫏≰10020112)⨟⋌⩍(↯⪼(⪹⫏≰2101200))","cot":[{"info":"⫏≰1222101⪶≀⋏⫏≰100122021=⫏≰-221112020","layer":3},{"info":"⨣⨃⇪⫏≰22011001=⫏≰1221001","layer":3},{"info":"⫏≰-221112020⪝⫏≰1221001=⫏≰-100002221212","layer":2},{"info":"⫏≰2001111≳⇉⫏≰22121002=NaN","layer":3},{"info":"⫏≰12110021⊴⫏≰1121020=NaN","layer":3},{"info":"NaN⫚↹⊑NaN=⫏≰-121120","layer":2},{"info":"⫏≰-100002221212⨓⫏≰-121120=⫏≰-121200","layer":1},{"info":"⫏≰2020011⋾⨃∁⫏≰2210002=⫏≰2212021012200010","layer":3},{"info":"⫏≰11011121∋⫏≰10020112=⫏≰100102001110100","layer":3},{"info":"⫏≰2212021012200010∠⫱⫏≰100102001110100=⫏≰1200201","layer":2},{"info":"⪹⫏≰2101200=⫏≰-2011000","layer":3},{"info":"↯⪼⫏≰-2011000=⫏≰10001001","layer":2},{"info":"⫏≰1200201⨟⋌⩍⫏≰10001001=NaN","layer":1},{"info":"⫏≰-121200⊾⪯⋞NaN=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"($4087$≎⪠$2431$⫽⇹≛)↤⩊(($7346$≭$3181$)⨓($1526$∠⫱$6756$))⫔⩽⩺($4922$⋝⋈⪟$6109$)≹⇙⪍$2803$⊉↱≁$4103$↬((⨮↦↱$1194$)∀⊥⇻)","expression":"(⫏≰12121101≎⪠⫏≰10100001⫽⇹≛)↤⩊((⫏≰101002002≭⫏≰11100211)⨓(⫏≰2002112∠⫱⫏≰100021020))⫔⩽⩺(⫏≰20202022⋝⋈⪟⫏≰22101021)≹⇙⪍⫏≰10211211⊉↱≁⫏≰12121222↬((⨮↦↱⫏≰1122020)∀⊥⇻)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":21387,"operation_count":13,"complexity_ratio":1645.1538461538462,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4087,"base":3},"right_expr":{"type":"numeric_atoms","value":2431,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7346,"base":3},"right_expr":{"type":"numeric_atoms","value":3181,"base":3}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1526,"base":3},"right_expr":{"type":"numeric_atoms","value":6756,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4922,"base":3},"right_expr":{"type":"numeric_atoms","value":6109,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2803,"base":3},"right_expr":{"type":"numeric_atoms","value":4103,"base":3}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1194,"base":3}}}}},"used_operators":["i9eR4S00cU","13rbtpv6ld","NNaDxxp6OQ","aNhz54LH3e","3ViojmjbAp","rxpJgHHUmx","QvoQhV0rrE","B5M0gjZbta","AHs5Up7iyr","2DDjHMKMc0","w2P8NbNXyL","k4iM1060OG","sYcpBQ0cFf"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rGHVDoGpnC","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4087","layer":4},{"info":"number node, value=2431","layer":4},{"info":"compute binary expreesion, left_input=4087, right_input=2431, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=7346","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=7346, right_input=3181, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1526","layer":4},{"info":"number node, value=6756","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=6756, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1237","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=-1237, 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=4922","layer":4},{"info":"number node, value=6109","layer":4},{"info":"compute binary expreesion, left_input=4922, right_input=6109, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4922","layer":3},{"info":"number node, value=2803","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=2803, right_input=4103, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=2298","layer":3},{"info":"compute binary expreesion, left_input=4922, right_input=2298, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1194","layer":4},{"info":"compute unary expreesion, input=1194, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-1462626","layer":3},{"info":"compute unary expreesion, input=-1462626, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12121101≎⪠⫏≰10100001⫽⇹≛)↤⩊((⫏≰101002002≭⫏≰11100211)⨓(⫏≰2002112∠⫱⫏≰100021020))⫔⩽⩺(⫏≰20202022⋝⋈⪟⫏≰22101021)≹⇙⪍⫏≰10211211⊉↱≁⫏≰12121222↬((⨮↦↱⫏≰1122020)∀⊥⇻)=NaN","reverse_text":"NaN=(⫏≰12121101≎⪠⫏≰10100001⫽⇹≛)↤⩊((⫏≰101002002≭⫏≰11100211)⨓(⫏≰2002112∠⫱⫏≰100021020))⫔⩽⩺(⫏≰20202022⋝⋈⪟⫏≰22101021)≹⇙⪍⫏≰10211211⊉↱≁⫏≰12121222↬((⨮↦↱⫏≰1122020)∀⊥⇻)","cot":[{"info":"⫏≰12121101≎⪠⫏≰10100001=⫏≰222211101","layer":3},{"info":"⫏≰222211101⫽⇹≛=⫏≰101002","layer":2},{"info":"⫏≰101002002≭⫏≰11100211=NaN","layer":3},{"info":"⫏≰2002112∠⫱⫏≰100021020=⫏≰1200201","layer":3},{"info":"NaN⨓⫏≰1200201=⫏≰-1200211","layer":2},{"info":"⫏≰101002↤⩊⫏≰-1200211=NaN","layer":1},{"info":"⫏≰20202022⋝⋈⪟⫏≰22101021=⫏≰20202022","layer":3},{"info":"⫏≰10211211⊉↱≁⫏≰12121222=⫏≰10011010","layer":3},{"info":"⫏≰20202022≹⇙⪍⫏≰10011010=NaN","layer":2},{"info":"⨮↦↱⫏≰1122020=⫏≰-2202022100100","layer":3},{"info":"⫏≰-2202022100100∀⊥⇻=⫏≰0","layer":2},{"info":"NaN↬⫏≰0=NaN","layer":1},{"info":"NaN⫔⩽⩺NaN=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"⪨⨬(($1023$⪛$1525$)⩼⇪↪($1190$⊉↱≁$3816$)⩺⪪($1054$⊉≛↸$2681$)⨐⩸⫘$2055$∀⇚≩$5331$)","expression":"⪨⨬((⫏≰1101220⪛⫏≰2002111)⩼⇪↪(⫏≰1122002⊉↱≁⫏≰12020100)⩺⪪(⫏≰1110001⊉≛↸⫏≰10200022)⨐⩸⫘⫏≰2211010∀⇚≩⫏≰21022110)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14575,"operation_count":8,"complexity_ratio":1821.875,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1023,"base":3},"right_expr":{"type":"numeric_atoms","value":1525,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1190,"base":3},"right_expr":{"type":"numeric_atoms","value":3816,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1054,"base":3},"right_expr":{"type":"numeric_atoms","value":2681,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2055,"base":3},"right_expr":{"type":"numeric_atoms","value":5331,"base":3}}}}},"used_operators":["5obUd6DV38","uvdQJvN4PV","ocnLzx9CaJ","uFcxV4UQCh","w2P8NbNXyL","fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1525, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1023","layer":3},{"info":"number node, value=1190","layer":4},{"info":"number node, value=3816","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=3816, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-12110","layer":3},{"info":"compute binary expreesion, left_input=1023, right_input=-12110, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=86033","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=2681, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2108","layer":3},{"info":"number node, value=2055","layer":4},{"info":"number node, value=5331","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=5331, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2108, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=86033, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪨⨬((⫏≰1101220⪛⫏≰2002111)⩼⇪↪(⫏≰1122002⊉↱≁⫏≰12020100)⩺⪪(⫏≰1110001⊉≛↸⫏≰10200022)⨐⩸⫘⫏≰2211010∀⇚≩⫏≰21022110)=NaN","reverse_text":"NaN=⪨⨬((⫏≰1101220⪛⫏≰2002111)⩼⇪↪(⫏≰1122002⊉↱≁⫏≰12020100)⩺⪪(⫏≰1110001⊉≛↸⫏≰10200022)⨐⩸⫘⫏≰2211010∀⇚≩⫏≰21022110)","cot":[{"info":"⫏≰1101220⪛⫏≰2002111=⫏≰1101220","layer":3},{"info":"⫏≰1122002⊉↱≁⫏≰12020100=⫏≰-121121112","layer":3},{"info":"⫏≰1101220⩼⇪↪⫏≰-121121112=⫏≰11101000102","layer":2},{"info":"⫏≰1110001⊉≛↸⫏≰10200022=⫏≰2220002","layer":3},{"info":"⫏≰2211010∀⇚≩⫏≰21022110=NaN","layer":3},{"info":"⫏≰2220002⨐⩸⫘NaN=NaN","layer":2},{"info":"⫏≰11101000102⩺⪪NaN=NaN","layer":1},{"info":"⪨⨬NaN=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"(($2049$⫔⩽⩺$1020$)≚⊃≕$9167$∘$4715$⪐)⪛((∓⪦$2453$⇻⋧≁$1098$)≀⩗∶($1570$∲⫓$3157$)⇌⫙⪟$1197$⪔⊥$1123$)","expression":"((⫏≰2210220⫔⩽⩺⫏≰1101210)≚⊃≕⫏≰110120112∘⫏≰20110122⪐)⪛((∓⪦⫏≰10100212⇻⋧≁⫏≰1111200)≀⩗∶(⫏≰2011011∲⫓⫏≰11022221)⇌⫙⪟⫏≰1122100⪔⊥⫏≰1112121)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2656,"operation_count":11,"complexity_ratio":241.45454545454547,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2049,"base":3},"right_expr":{"type":"numeric_atoms","value":1020,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":9167,"base":3},"right_expr":{"type":"numeric_atoms","value":4715,"base":3}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2453,"base":3},"right_expr":{"type":"numeric_atoms","value":1098,"base":3}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1570,"base":3},"right_expr":{"type":"numeric_atoms","value":3157,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1197,"base":3},"right_expr":{"type":"numeric_atoms","value":1123,"base":3}}}}},"used_operators":["uFcxV4UQCh","eH2TOUuTDT","Bmrmz2XGnR","i9eR4S00cU","Z5m6OM72h2","8INZBEW696","D309nIvmXG","jCPkEVoL5K","AFVx7xoS7T","i8ToyICDmI","HJ9erzHUuu"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Tw270M8GLb","fu6greOZ01","eH2TOUuTDT","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⫏≰2","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1020, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=9167","layer":4},{"info":"number node, value=4715","layer":4},{"info":"compute binary expreesion, left_input=9167, right_input=4715, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=18334","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18334, 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":2},{"info":"compute unary expreesion, input=67, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=134","layer":1},{"info":"number node, value=2453","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=1098, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2540","layer":2},{"info":"number node, value=1570","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=3157, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1123, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2343","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2343, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-2540, right_input=113, 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=134, right_input=3, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2210220⫔⩽⩺⫏≰1101210)≚⊃≕⫏≰110120112∘⫏≰20110122⪐)⪛((∓⪦⫏≰10100212⇻⋧≁⫏≰1111200)≀⩗∶(⫏≰2011011∲⫓⫏≰11022221)⇌⫙⪟⫏≰1122100⪔⊥⫏≰1112121)=⫏≰2","reverse_text":"⫏≰2=((⫏≰2210220⫔⩽⩺⫏≰1101210)≚⊃≕⫏≰110120112∘⫏≰20110122⪐)⪛((∓⪦⫏≰10100212⇻⋧≁⫏≰1111200)≀⩗∶(⫏≰2011011∲⫓⫏≰11022221)⇌⫙⪟⫏≰1122100⪔⊥⫏≰1112121)","cot":[{"info":"⫏≰2210220⫔⩽⩺⫏≰1101210=NaN","layer":3},{"info":"⫏≰110120112∘⫏≰20110122=⫏≰221011001","layer":3},{"info":"NaN≚⊃≕⫏≰221011001=⫏≰2111","layer":2},{"info":"⫏≰2111⪐=⫏≰11222","layer":1},{"info":"⫏≰10100212⇻⋧≁⫏≰1111200=⫏≰-121120","layer":3},{"info":"∓⪦⫏≰-121120=⫏≰-10111002","layer":2},{"info":"⫏≰2011011∲⫓⫏≰11022221=⫏≰0","layer":3},{"info":"⫏≰1122100⪔⊥⫏≰1112121=⫏≰10012210","layer":3},{"info":"⫏≰0⇌⫙⪟⫏≰10012210=⫏≰11012","layer":2},{"info":"⫏≰-10111002≀⩗∶⫏≰11012=⫏≰10","layer":1},{"info":"⫏≰11222⪛⫏≰10=⫏≰2","layer":0}]}
{"id":638,"expression_no_base_symbol":"(⩪∧⨌(↨($1334$≬⋮$1153$)))≓∲(⋼∭⪍(⨝⨆$4937$))⋹⋡⊁(($2886$⇴∐$1396$)⫣⪄⊒(⋣$2796$))","expression":"(⩪∧⨌(↨(⫏≰1211102≬⋮⫏≰1120201)))≓∲(⋼∭⪍(⨝⨆⫏≰20202212))⋹⋡⊁((⫏≰10221220⇴∐⫏≰1220201)⫣⪄⊒(⋣⫏≰10211120))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66979,"operation_count":10,"complexity_ratio":6697.9,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1334,"base":3},"right_expr":{"type":"numeric_atoms","value":1153,"base":3}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4937,"base":3}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2886,"base":3},"right_expr":{"type":"numeric_atoms","value":1396,"base":3}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2796,"base":3}}}}},"used_operators":["s1XTVnmDOJ","6iOiAJX1F8","jiX4gk2v2Q","kbkesczE7y","As8RqfVLgs","DbCuESL50I","bQ67fsrMVf","RabNbG55vr","HnzytWxmAO","zQWRhDnn8F"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rGHVDoGpnC","oZj3VtZNQx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","tifHPKVTfV","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"⫏≰1002000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1334","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1153, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=0","layer":1},{"info":"number node, value=4937","layer":4},{"info":"compute unary expreesion, input=4937, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=4728","layer":3},{"info":"compute unary expreesion, input=4728, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-17172","layer":2},{"info":"number node, value=2886","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=1396, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=2796","layer":4},{"info":"compute unary expreesion, input=2796, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-821929","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-821929, 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":2},{"info":"compute binary expreesion, left_input=-17172, right_input=160, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=910","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=910, 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=783","layer":0}],"base":3,"result_base":3,"text":"(⩪∧⨌(↨(⫏≰1211102≬⋮⫏≰1120201)))≓∲(⋼∭⪍(⨝⨆⫏≰20202212))⋹⋡⊁((⫏≰10221220⇴∐⫏≰1220201)⫣⪄⊒(⋣⫏≰10211120))=⫏≰1002000","reverse_text":"⫏≰1002000=(⩪∧⨌(↨(⫏≰1211102≬⋮⫏≰1120201)))≓∲(⋼∭⪍(⨝⨆⫏≰20202212))⋹⋡⊁((⫏≰10221220⇴∐⫏≰1220201)⫣⪄⊒(⋣⫏≰10211120))","cot":[{"info":"⫏≰1211102≬⋮⫏≰1120201=⫏≰1012011","layer":3},{"info":"↨⫏≰1012011=⫏≰0","layer":2},{"info":"⩪∧⨌⫏≰0=⫏≰0","layer":1},{"info":"⨝⨆⫏≰20202212=⫏≰20111010","layer":3},{"info":"⋼∭⪍⫏≰20111010=⫏≰-212120000","layer":2},{"info":"⫏≰10221220⇴∐⫏≰1220201=NaN","layer":3},{"info":"⋣⫏≰10211120=⫏≰-1112202110211","layer":3},{"info":"NaN⫣⪄⊒⫏≰-1112202110211=⫏≰12221","layer":2},{"info":"⫏≰-212120000⋹⋡⊁⫏≰12221=⫏≰1020201","layer":1},{"info":"⫏≰0≓∲⫏≰1020201=⫏≰1002000","layer":0}]}
{"id":639,"expression_no_base_symbol":"(($1432$⋓$1678$)⋥⋵⩄(⇾⩊⇾$2398$))∴(⨣⨃⇪($2822$∼$1637$))∪⫐(⊗(↑$1890$)⫁($4262$∲⫓$3165$))","expression":"((⫏≰1222001⋓⫏≰2022011)⋥⋵⩄(⇾⩊⇾⫏≰10021211))∴(⨣⨃⇪(⫏≰10212112∼⫏≰2020122))∪⫐(⊗(↑⫏≰2121000)⫁(⫏≰12211212∲⫓⫏≰11100020))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":286,"operation_count":11,"complexity_ratio":26.0,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1432,"base":3},"right_expr":{"type":"numeric_atoms","value":1678,"base":3}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2398,"base":3}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2822,"base":3},"right_expr":{"type":"numeric_atoms","value":1637,"base":3}}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1890,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4262,"base":3},"right_expr":{"type":"numeric_atoms","value":3165,"base":3}}}}},"used_operators":["7YooWSwCyH","hrf7POJlIJ","7t3wd0Fuz7","T2fj7uvVaJ","bx9Z9DAK5y","AcOhelriW5","DyGG3AbaNP","RhiyfpczSx","0ajvFaJAv0","tR7O2zTn5j","i8ToyICDmI"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","cHh1gJQ2o6","AHs5Up7iyr","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰1001110001210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1432","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1678, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2398","layer":4},{"info":"compute unary expreesion, input=2398, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-28068","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-28068, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=279136","layer":2},{"info":"number node, value=2822","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1637, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=279136, right_input=1405, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=559920","layer":1},{"info":"number node, value=1890","layer":4},{"info":"compute unary expreesion, input=1890, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=4262","layer":4},{"info":"number node, value=3165","layer":4},{"info":"compute binary expreesion, left_input=4262, right_input=3165, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=220","layer":1},{"info":"compute binary expreesion, left_input=559920, right_input=220, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=559920","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1222001⋓⫏≰2022011)⋥⋵⩄(⇾⩊⇾⫏≰10021211))∴(⨣⨃⇪(⫏≰10212112∼⫏≰2020122))∪⫐(⊗(↑⫏≰2121000)⫁(⫏≰12211212∲⫓⫏≰11100020))=⫏≰1001110001210","reverse_text":"⫏≰1001110001210=((⫏≰1222001⋓⫏≰2022011)⋥⋵⩄(⇾⩊⇾⫏≰10021211))∴(⨣⨃⇪(⫏≰10212112∼⫏≰2020122))∪⫐(⊗(↑⫏≰2121000)⫁(⫏≰12211212∲⫓⫏≰11100020))","cot":[{"info":"⫏≰1222001⋓⫏≰2022011=⫏≰0","layer":3},{"info":"⇾⩊⇾⫏≰10021211=⫏≰-1102111120","layer":3},{"info":"⫏≰0⋥⋵⩄⫏≰-1102111120=⫏≰112011220101","layer":2},{"info":"⫏≰10212112∼⫏≰2020122=NaN","layer":3},{"info":"⨣⨃⇪NaN=⫏≰1221001","layer":2},{"info":"⫏≰112011220101∴⫏≰1221001=⫏≰1001110001210","layer":1},{"info":"↑⫏≰2121000=⫏≰21010","layer":3},{"info":"⫏≰12211212∲⫓⫏≰11100020=⫏≰0","layer":3},{"info":"⫏≰21010⫁⫏≰0=⫏≰12221","layer":2},{"info":"⊗⫏≰12221=⫏≰22011","layer":1},{"info":"⫏≰1001110001210∪⫐⫏≰22011=⫏≰1001110001210","layer":0}]}
{"id":640,"expression_no_base_symbol":"($4179$↸$4367$)↳≱($4042$∘$1041$)↢(≻⋜($4936$⊔$2148$))∛((⊬↢$7895$)⊬⨰$1808$≁$2061$⇮⋭(($1216$+⇶⊼$5199$)⨶))","expression":"(⫏≰12201210↸⫏≰12222202)↳≱(⫏≰12112201∘⫏≰1102120)↢(≻⋜(⫏≰20202211⊔⫏≰2221120))∛((⊬↢⫏≰101211102)⊬⨰⫏≰2110222≁⫏≰2211100⇮⋭((⫏≰1200001+⇶⊼⫏≰21010120)⨶))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":104231,"operation_count":13,"complexity_ratio":8017.7692307692305,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4179,"base":3},"right_expr":{"type":"numeric_atoms","value":4367,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4042,"base":3},"right_expr":{"type":"numeric_atoms","value":1041,"base":3}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4936,"base":3},"right_expr":{"type":"numeric_atoms","value":2148,"base":3}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":7895,"base":3}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1808,"base":3},"right_expr":{"type":"numeric_atoms","value":2061,"base":3}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1216,"base":3},"right_expr":{"type":"numeric_atoms","value":5199,"base":3}}}}},"used_operators":["w2537kitQq","WR6HLWljOP","JwTKLfZU96","1eCjFl0mb9","Z5m6OM72h2","3tj9sqzovi","E4l6HwMY31","vkpjKywKVM","s3Fd5m9Dh2","WPoGxAaPR1","8N2wDY1A35","rFxw8gIMmB","TpPTUOHfaN"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","f6k1SAg4EE","Qy55tPpLXF","AHs5Up7iyr"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4179","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=4367, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4179","layer":3},{"info":"number node, value=4042","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=1041, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8084","layer":3},{"info":"compute binary expreesion, left_input=4179, right_input=8084, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=4936","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=4936, right_input=2148, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=18212","layer":3},{"info":"compute unary expreesion, input=18212, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"number node, value=7895","layer":4},{"info":"compute unary expreesion, input=7895, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1808","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=2061, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=36263","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=36263, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=145488","layer":2},{"info":"number node, value=1216","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=5199, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=145488, right_input=-134, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=67, 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":3,"result_base":3,"text":"(⫏≰12201210↸⫏≰12222202)↳≱(⫏≰12112201∘⫏≰1102120)↢(≻⋜(⫏≰20202211⊔⫏≰2221120))∛((⊬↢⫏≰101211102)⊬⨰⫏≰2110222≁⫏≰2211100⇮⋭((⫏≰1200001+⇶⊼⫏≰21010120)⨶))=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰12201210↸⫏≰12222202)↳≱(⫏≰12112201∘⫏≰1102120)↢(≻⋜(⫏≰20202211⊔⫏≰2221120))∛((⊬↢⫏≰101211102)⊬⨰⫏≰2110222≁⫏≰2211100⇮⋭((⫏≰1200001+⇶⊼⫏≰21010120)⨶))","cot":[{"info":"⫏≰12201210↸⫏≰12222202=⫏≰12201210","layer":3},{"info":"⫏≰12112201∘⫏≰1102120=⫏≰102002102","layer":3},{"info":"⫏≰12201210↳≱⫏≰102002102=⫏≰0","layer":2},{"info":"⫏≰20202211⊔⫏≰2221120=⫏≰220222112","layer":3},{"info":"≻⋜⫏≰220222112=NaN","layer":2},{"info":"⫏≰0↢NaN=⫏≰-122221","layer":1},{"info":"⊬↢⫏≰101211102=⫏≰22002","layer":3},{"info":"⫏≰2110222≁⫏≰2211100=⫏≰1211202002","layer":3},{"info":"⫏≰22002⊬⨰⫏≰1211202002=⫏≰21101120110","layer":2},{"info":"⫏≰1200001+⇶⊼⫏≰21010120=NaN","layer":3},{"info":"NaN⨶=⫏≰-11222","layer":2},{"info":"⫏≰21101120110⇮⋭⫏≰-11222=⫏≰2111","layer":1},{"info":"⫏≰-122221∛⫏≰2111=⫏≰2111","layer":0}]}
{"id":641,"expression_no_base_symbol":"⊁⨺(⩪∧⨌$4553$+⪬∐$2177$)⫞⩸⩒(⇨(⋎⨆$5024$))","expression":"⊁⨺(⩪∧⨌⫏≰20020122+⪬∐⫏≰2222122)⫞⩸⩒(⇨(⋎⨆⫏≰20220002))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":60,"operation_count":6,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":4553,"base":3},"right_expr":{"type":"numeric_atoms","value":2177,"base":3}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":5024,"base":3}}}}},"used_operators":["PxiHyQbrIp","XGcMNugi78","6iOiAJX1F8","2GS7woTJqF","G9tJMlZ94a","E64sFOc4tB"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2","k8jYdgA6NY","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"⫏≰-1210112111020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4553","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=2177, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-13659","layer":3},{"info":"compute unary expreesion, input=-13659, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-136590","layer":2},{"info":"number node, value=5024","layer":4},{"info":"compute unary expreesion, input=5024, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-136590, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-136590","layer":1},{"info":"compute unary expreesion, input=-136590, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-955347","layer":0}],"base":3,"result_base":3,"text":"⊁⨺(⩪∧⨌⫏≰20020122+⪬∐⫏≰2222122)⫞⩸⩒(⇨(⋎⨆⫏≰20220002))=⫏≰-1210112111020","reverse_text":"⫏≰-1210112111020=⊁⨺(⩪∧⨌⫏≰20020122+⪬∐⫏≰2222122)⫞⩸⩒(⇨(⋎⨆⫏≰20220002))","cot":[{"info":"⫏≰20020122+⪬∐⫏≰2222122=⫏≰-200201220","layer":3},{"info":"⩪∧⨌⫏≰-200201220=⫏≰-20221100220","layer":2},{"info":"⋎⨆⫏≰20220002=⫏≰0","layer":3},{"info":"⇨⫏≰0=NaN","layer":2},{"info":"⫏≰-20221100220⫞⩸⩒NaN=⫏≰-20221100220","layer":1},{"info":"⊁⨺⫏≰-20221100220=⫏≰-1210112111020","layer":0}]}
{"id":642,"expression_no_base_symbol":"(($1802$⩟)⪃⊛⇣($1524$⊋$2801$)⊾⪯⋞(⫵↿$3043$⪮%⊝$4524$))⨫⇇↔($5088$∪⫐$3497$∕⩚$4266$⨔⇊$5294$)⪒⊣⊆$1249$∊∟⩊$4494$⫯⪬∳($3287$⇩)","expression":"((⫏≰2110202⩟)⪃⊛⇣(⫏≰2002110⊋⫏≰10211202)⊾⪯⋞(⫵↿⫏≰11011201⪮%⊝⫏≰20012120))⨫⇇↔(⫏≰20222110∪⫐⫏≰11210112∕⩚⫏≰12212000⨔⇊⫏≰21021002)⪒⊣⊆⫏≰1201021∊∟⩊⫏≰20011110⫯⪬∳(⫏≰11111202⇩)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8321,"operation_count":14,"complexity_ratio":594.3571428571429,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1802,"base":3}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1524,"base":3},"right_expr":{"type":"numeric_atoms","value":2801,"base":3}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3043,"base":3},"right_expr":{"type":"numeric_atoms","value":4524,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5088,"base":3},"right_expr":{"type":"numeric_atoms","value":3497,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4266,"base":3},"right_expr":{"type":"numeric_atoms","value":5294,"base":3}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1249,"base":3},"right_expr":{"type":"numeric_atoms","value":4494,"base":3}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":3287,"base":3}}}}},"used_operators":["LXhwmt4mBO","HK0tfVPux8","rrgAzCduG9","fOIeswaMU4","W4tP9CfskL","ivGwdmUAux","IWmyXbctLI","eRqsBgTDFp","z9ffQ9n5Zr","7YooWSwCyH","JclMnS0uGI","d7ASUq0ydm","ddLRYrp01A","vRio1gEz1j"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe"],"result":"⫏≰-201112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-14991","layer":3},{"info":"number node, value=1524","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=2801, 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=-26943832","layer":3},{"info":"compute binary expreesion, left_input=-14991, right_input=-26943832, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=3043","layer":4},{"info":"number node, value=4524","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=4524, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6402","layer":3},{"info":"compute unary expreesion, input=6402, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=137, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":1},{"info":"number node, value=5088","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=5088, right_input=3497, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5088","layer":3},{"info":"number node, value=4266","layer":4},{"info":"number node, value=5294","layer":4},{"info":"compute binary expreesion, left_input=4266, right_input=5294, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5294","layer":3},{"info":"compute binary expreesion, left_input=5088, right_input=5294, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5091","layer":2},{"info":"number node, value=1249","layer":4},{"info":"number node, value=4494","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=4494, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4494","layer":3},{"info":"number node, value=3287","layer":4},{"info":"compute unary expreesion, input=3287, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=3380","layer":3},{"info":"compute binary expreesion, left_input=4494, right_input=3380, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=19123","layer":2},{"info":"compute binary expreesion, left_input=-5091, right_input=19123, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=48530","layer":1},{"info":"compute binary expreesion, left_input=-818, right_input=48530, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2110202⩟)⪃⊛⇣(⫏≰2002110⊋⫏≰10211202)⊾⪯⋞(⫵↿⫏≰11011201⪮%⊝⫏≰20012120))⨫⇇↔(⫏≰20222110∪⫐⫏≰11210112∕⩚⫏≰12212000⨔⇊⫏≰21021002)⪒⊣⊆⫏≰1201021∊∟⩊⫏≰20011110⫯⪬∳(⫏≰11111202⇩)=⫏≰-201112","reverse_text":"⫏≰-201112=((⫏≰2110202⩟)⪃⊛⇣(⫏≰2002110⊋⫏≰10211202)⊾⪯⋞(⫵↿⫏≰11011201⪮%⊝⫏≰20012120))⨫⇇↔(⫏≰20222110∪⫐⫏≰11210112∕⩚⫏≰12212000⨔⇊⫏≰21021002)⪒⊣⊆⫏≰1201021∊∟⩊⫏≰20011110⫯⪬∳(⫏≰11111202⇩)","cot":[{"info":"⫏≰2110202⩟=⫏≰-202120020","layer":3},{"info":"⫏≰2002110⊋⫏≰10211202=⫏≰-1212200212222201","layer":3},{"info":"⫏≰-202120020⪃⊛⇣⫏≰-1212200212222201=⫏≰1200201","layer":2},{"info":"⫏≰11011201⪮%⊝⫏≰20012120=⫏≰22210010","layer":3},{"info":"⫵↿⫏≰22210010=⫏≰12002","layer":2},{"info":"⫏≰1200201⊾⪯⋞⫏≰12002=⫏≰-1010022","layer":1},{"info":"⫏≰20222110∪⫐⫏≰11210112=⫏≰20222110","layer":3},{"info":"⫏≰12212000⨔⇊⫏≰21021002=⫏≰21021002","layer":3},{"info":"⫏≰20222110∕⩚⫏≰21021002=⫏≰-20222120","layer":2},{"info":"⫏≰1201021∊∟⩊⫏≰20011110=⫏≰20011110","layer":3},{"info":"⫏≰11111202⇩=⫏≰11122012","layer":3},{"info":"⫏≰20011110⫯⪬∳⫏≰11122012=⫏≰222020021","layer":2},{"info":"⫏≰-20222120⪒⊣⊆⫏≰222020021=⫏≰2110120102","layer":1},{"info":"⫏≰-1010022⨫⇇↔⫏≰2110120102=⫏≰-201112","layer":0}]}
{"id":643,"expression_no_base_symbol":"(($6720$↬$2671$⩺⪪($1903$⫳≱↱$3709$))≭(⩦⩻⨪($6568$⊫∞)))⪒⊣⊆(∤↝($1094$≦↸$6499$⋣⋖($3110$↙$4573$)))","expression":"((⫏≰100012220↬⫏≰10122221⩺⪪(⫏≰2121111⫳≱↱⫏≰12002101))≭(⩦⩻⨪(⫏≰100000021⊫∞)))⪒⊣⊆(∤↝(⫏≰1111112≦↸⫏≰22220201⋣⋖(⫏≰11021012↙⫏≰20021101)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31594,"operation_count":11,"complexity_ratio":2872.181818181818,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6720,"base":3},"right_expr":{"type":"numeric_atoms","value":2671,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1903,"base":3},"right_expr":{"type":"numeric_atoms","value":3709,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":6568,"base":3}}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1094,"base":3},"right_expr":{"type":"numeric_atoms","value":6499,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3110,"base":3},"right_expr":{"type":"numeric_atoms","value":4573,"base":3}}}}},"used_operators":["eRqsBgTDFp","rxpJgHHUmx","uvdQJvN4PV","B5M0gjZbta","ZvLB05nZmT","2td37pGCOC","pABnYW3G3E","3UMq87Qwqg","J0M6qkBnIM","RygbFNSyEJ","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rGHVDoGpnC","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰-1020122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6720","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=6720, right_input=2671, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1903","layer":4},{"info":"number node, value=3709","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=3709, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=6568","layer":4},{"info":"compute unary expreesion, input=6568, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"number node, value=1094","layer":4},{"info":"number node, value=6499","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=6499, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14505","layer":3},{"info":"number node, value=3110","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=4573, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13719","layer":3},{"info":"compute binary expreesion, left_input=-14505, right_input=-13719, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, 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=-527","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-527, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-908","layer":0}],"base":3,"result_base":3,"text":"((⫏≰100012220↬⫏≰10122221⩺⪪(⫏≰2121111⫳≱↱⫏≰12002101))≭(⩦⩻⨪(⫏≰100000021⊫∞)))⪒⊣⊆(∤↝(⫏≰1111112≦↸⫏≰22220201⋣⋖(⫏≰11021012↙⫏≰20021101)))=⫏≰-1020122","reverse_text":"⫏≰-1020122=((⫏≰100012220↬⫏≰10122221⩺⪪(⫏≰2121111⫳≱↱⫏≰12002101))≭(⩦⩻⨪(⫏≰100000021⊫∞)))⪒⊣⊆(∤↝(⫏≰1111112≦↸⫏≰22220201⋣⋖(⫏≰11021012↙⫏≰20021101)))","cot":[{"info":"⫏≰100012220↬⫏≰10122221=NaN","layer":3},{"info":"⫏≰2121111⫳≱↱⫏≰12002101=⫏≰-21120","layer":3},{"info":"NaN⩺⪪⫏≰-21120=NaN","layer":2},{"info":"⫏≰100000021⊫∞=⫏≰0","layer":3},{"info":"⩦⩻⨪⫏≰0=⫏≰0","layer":2},{"info":"NaN≭⫏≰0=⫏≰-211","layer":1},{"info":"⫏≰1111112≦↸⫏≰22220201=⫏≰-201220020","layer":3},{"info":"⫏≰11021012↙⫏≰20021101=⫏≰-200211010","layer":3},{"info":"⫏≰-201220020⋣⋖⫏≰-200211010=⫏≰-201112","layer":2},{"info":"∤↝⫏≰-201112=⫏≰-201112","layer":1},{"info":"⫏≰-211⪒⊣⊆⫏≰-201112=⫏≰-1020122","layer":0}]}
{"id":644,"expression_no_base_symbol":"(($7106$⩏)∓⋝$6099$⫯⪬∳$1236$⫭)∺≝⩲(⨛(⩦⊞($3197$⊫∞)))","expression":"((⫏≰100202012⩏)∓⋝⫏≰22100220⫯⪬∳⫏≰1200210⫭)∺≝⩲(⨛(⩦⊞(⫏≰11101102⊫∞)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27769,"operation_count":8,"complexity_ratio":3471.125,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":7106,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6099,"base":3},"right_expr":{"type":"numeric_atoms","value":1236,"base":3}}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":3197,"base":3}}}}},"used_operators":["KPf6cnQVty","t4WUHVGj7f","PoHhknlbAi","iA2gmKZ3Wj","d7ASUq0ydm","CoMdbyAt7R","u7fv1HBiaC","pABnYW3G3E"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","z6LnFrNh4i","Tcnh7f0tEr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7106","layer":4},{"info":"compute unary expreesion, input=7106, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=6099","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=6099, right_input=1236, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=29292","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=29292, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":2},{"info":"compute unary expreesion, input=121, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=604","layer":1},{"info":"number node, value=3197","layer":4},{"info":"compute unary expreesion, input=3197, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-56","layer":2},{"info":"compute unary expreesion, input=-56, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=604, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⫏≰100202012⩏)∓⋝⫏≰22100220⫯⪬∳⫏≰1200210⫭)∺≝⩲(⨛(⩦⊞(⫏≰11101102⊫∞)))=⫏≰12221","reverse_text":"⫏≰12221=((⫏≰100202012⩏)∓⋝⫏≰22100220⫯⪬∳⫏≰1200210⫭)∺≝⩲(⨛(⩦⊞(⫏≰11101102⊫∞)))","cot":[{"info":"⫏≰100202012⩏=⫏≰0","layer":3},{"info":"⫏≰22100220⫯⪬∳⫏≰1200210=⫏≰1111011220","layer":3},{"info":"⫏≰0∓⋝⫏≰1111011220=⫏≰11111","layer":2},{"info":"⫏≰11111⫭=⫏≰211101","layer":1},{"info":"⫏≰11101102⊫∞=⫏≰0","layer":3},{"info":"⩦⊞⫏≰0=⫏≰-2002","layer":2},{"info":"⨛⫏≰-2002=⫏≰0","layer":1},{"info":"⫏≰211101∺≝⩲⫏≰0=⫏≰12221","layer":0}]}
{"id":645,"expression_no_base_symbol":"(($4520$⋻⩜⩜$5896$⪨≂($5798$⪨≂$1853$))+⇶⊼(($1037$↡⊰⫅$4874$)≣⋋))⫯⪬∳(($1393$⇴∐$3157$↸($3265$⫳≱↱$1057$))⪗)","expression":"((⫏≰20012102⋻⩜⩜⫏≰22002101⪨≂(⫏≰21221202⪨≂⫏≰2112122))+⇶⊼((⫏≰1102102↡⊰⫅⫏≰20200112)≣⋋))⫯⪬∳((⫏≰1220121⇴∐⫏≰11022221↸(⫏≰11110221⫳≱↱⫏≰1110011))⪗)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":151675,"operation_count":11,"complexity_ratio":13788.636363636364,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4520,"base":3},"right_expr":{"type":"numeric_atoms","value":5896,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5798,"base":3},"right_expr":{"type":"numeric_atoms","value":1853,"base":3}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1037,"base":3},"right_expr":{"type":"numeric_atoms","value":4874,"base":3}}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1393,"base":3},"right_expr":{"type":"numeric_atoms","value":3157,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3265,"base":3},"right_expr":{"type":"numeric_atoms","value":1057,"base":3}}}}},"used_operators":["d7ASUq0ydm","TpPTUOHfaN","sdazOOVcIp","oDCm7WA9JY","Tcnh7f0tEr","VCtxkLNOzz","VEQNXA0ZBg","1eCjFl0mb9","HnzytWxmAO","ZvLB05nZmT"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","dWAJyo7jo9","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⫏≰-122112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4520","layer":4},{"info":"number node, value=5896","layer":4},{"info":"compute binary expreesion, left_input=4520, right_input=5896, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9040","layer":3},{"info":"number node, value=5798","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=5798, right_input=1853, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7992","layer":3},{"info":"compute binary expreesion, left_input=9040, right_input=7992, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2198","layer":2},{"info":"number node, value=1037","layer":4},{"info":"number node, value=4874","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=4874, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=9748","layer":3},{"info":"compute unary expreesion, input=9748, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2198, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":1},{"info":"number node, value=1393","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=3157, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3265","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=3265, right_input=1057, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20012102⋻⩜⩜⫏≰22002101⪨≂(⫏≰21221202⪨≂⫏≰2112122))+⇶⊼((⫏≰1102102↡⊰⫅⫏≰20200112)≣⋋))⫯⪬∳((⫏≰1220121⇴∐⫏≰11022221↸(⫏≰11110221⫳≱↱⫏≰1110011))⪗)=⫏≰-122112","reverse_text":"⫏≰-122112=((⫏≰20012102⋻⩜⩜⫏≰22002101⪨≂(⫏≰21221202⪨≂⫏≰2112122))+⇶⊼((⫏≰1102102↡⊰⫅⫏≰20200112)≣⋋))⫯⪬∳((⫏≰1220121⇴∐⫏≰11022221↸(⫏≰11110221⫳≱↱⫏≰1110011))⪗)","cot":[{"info":"⫏≰20012102⋻⩜⩜⫏≰22002101=⫏≰110101211","layer":3},{"info":"⫏≰21221202⪨≂⫏≰2112122=⫏≰101222000","layer":3},{"info":"⫏≰110101211⪨≂⫏≰101222000=⫏≰10000102","layer":2},{"info":"⫏≰1102102↡⊰⫅⫏≰20200112=⫏≰111101001","layer":3},{"info":"⫏≰111101001≣⋋=⫏≰0","layer":2},{"info":"⫏≰10000102+⇶⊼⫏≰0=⫏≰0","layer":1},{"info":"⫏≰1220121⇴∐⫏≰11022221=NaN","layer":3},{"info":"⫏≰11110221⫳≱↱⫏≰1110011=⫏≰-21120","layer":3},{"info":"NaN↸⫏≰-21120=NaN","layer":2},{"info":"NaN⪗=NaN","layer":1},{"info":"⫏≰0⫯⪬∳NaN=⫏≰-122112","layer":0}]}
{"id":646,"expression_no_base_symbol":"((⇨$3164$)∌↝($2198$⋥≓≎$4224$)⨳⩥⨓(⩪∧⨌$5580$)⫥∨⫟($2709$↑))≚⋢","expression":"((⇨⫏≰11100012)∌↝(⫏≰10000102⋥≓≎⫏≰12210110)⨳⩥⨓(⩪∧⨌⫏≰21122200)⫥∨⫟(⫏≰10201100↑))≚⋢","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":285,"operation_count":8,"complexity_ratio":35.625,"tree":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":3164,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2198,"base":3},"right_expr":{"type":"numeric_atoms","value":4224,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":5580,"base":3}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2709,"base":3}}}}},"used_operators":["MahUMFw56D","nCS4ZIUYfx","9Isq31Ruls","G9tJMlZ94a","Qy55tPpLXF","KYD54nUTWz","6iOiAJX1F8","BThhyOhh10"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq"],"result":"⫏≰-10022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3164","layer":4},{"info":"compute unary expreesion, input=3164, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=2198","layer":4},{"info":"number node, value=4224","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=4224, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6283","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6283, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-18849","layer":2},{"info":"number node, value=5580","layer":4},{"info":"compute unary expreesion, input=5580, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=55800","layer":3},{"info":"number node, value=2709","layer":4},{"info":"compute unary expreesion, input=2709, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=55800, right_input=222, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18849, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":0}],"base":3,"result_base":3,"text":"((⇨⫏≰11100012)∌↝(⫏≰10000102⋥≓≎⫏≰12210110)⨳⩥⨓(⩪∧⨌⫏≰21122200)⫥∨⫟(⫏≰10201100↑))≚⋢=⫏≰-10022","reverse_text":"⫏≰-10022=((⇨⫏≰11100012)∌↝(⫏≰10000102⋥≓≎⫏≰12210110)⨳⩥⨓(⩪∧⨌⫏≰21122200)⫥∨⫟(⫏≰10201100↑))≚⋢","cot":[{"info":"⇨⫏≰11100012=⫏≰0","layer":3},{"info":"⫏≰10000102⋥≓≎⫏≰12210110=⫏≰22121201","layer":3},{"info":"⫏≰0∌↝⫏≰22121201=⫏≰-221212010","layer":2},{"info":"⩪∧⨌⫏≰21122200=⫏≰2211112200","layer":3},{"info":"⫏≰10201100↑=⫏≰22020","layer":3},{"info":"⫏≰2211112200⫥∨⫟⫏≰22020=NaN","layer":2},{"info":"⫏≰-221212010⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN≚⋢=⫏≰-10022","layer":0}]}
{"id":647,"expression_no_base_symbol":"(($4963$⫦⪉$3799$)⪍↜⋙$4328$∋$2065$⋻⩜⩜(⪲⇎$3057$≦↸$1231$))⨔⇊(↡((⊄⩳↩$1021$)+⇶⊼(↴⪽⋼$5654$)))","expression":"((⫏≰20210211⫦⪉⫏≰12012201)⪍↜⋙⫏≰12221022∋⫏≰2211111⋻⩜⩜(⪲⇎⫏≰11012020≦↸⫏≰1200121))⨔⇊(↡((⊄⩳↩⫏≰1101211)+⇶⊼(↴⪽⋼⫏≰21202102)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":221267,"operation_count":11,"complexity_ratio":20115.18181818182,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4963,"base":3},"right_expr":{"type":"numeric_atoms","value":3799,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4328,"base":3},"right_expr":{"type":"numeric_atoms","value":2065,"base":3}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3057,"base":3},"right_expr":{"type":"numeric_atoms","value":1231,"base":3}}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1021,"base":3}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":5654,"base":3}}}}},"used_operators":["JclMnS0uGI","oDCm7WA9JY","L05ObWFQCd","wscyQdcy20","ukq6epAj5P","XPYlsWDdGa","RygbFNSyEJ","MXaNJeIAZ3","TpPTUOHfaN","8w2t5hMYqp","5TUYCnJO6w"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4963","layer":4},{"info":"number node, value=3799","layer":4},{"info":"compute binary expreesion, left_input=4963, right_input=3799, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5026","layer":3},{"info":"number node, value=4328","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=2065, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4450064","layer":3},{"info":"compute binary expreesion, left_input=-5026, right_input=4450064, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-8875781","layer":2},{"info":"number node, value=3057","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=1231, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7895","layer":3},{"info":"compute unary expreesion, input=-7895, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-15790","layer":2},{"info":"compute binary expreesion, left_input=-8875781, right_input=-15790, 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":1},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3063","layer":3},{"info":"number node, value=5654","layer":4},{"info":"compute unary expreesion, input=5654, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=5654","layer":3},{"info":"compute binary expreesion, left_input=-3063, right_input=5654, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20210211⫦⪉⫏≰12012201)⪍↜⋙⫏≰12221022∋⫏≰2211111⋻⩜⩜(⪲⇎⫏≰11012020≦↸⫏≰1200121))⨔⇊(↡((⊄⩳↩⫏≰1101211)+⇶⊼(↴⪽⋼⫏≰21202102)))=NaN","reverse_text":"NaN=((⫏≰20210211⫦⪉⫏≰12012201)⪍↜⋙⫏≰12221022∋⫏≰2211111⋻⩜⩜(⪲⇎⫏≰11012020≦↸⫏≰1200121))⨔⇊(↡((⊄⩳↩⫏≰1101211)+⇶⊼(↴⪽⋼⫏≰21202102)))","cot":[{"info":"⫏≰20210211⫦⪉⫏≰12012201=⫏≰-20220011","layer":3},{"info":"⫏≰12221022∋⫏≰2211111=⫏≰22101002100012","layer":3},{"info":"⫏≰-20220011⪍↜⋙⫏≰22101002100012=⫏≰-121200221021122","layer":2},{"info":"⫏≰11012020≦↸⫏≰1200121=⫏≰-101211102","layer":3},{"info":"⪲⇎⫏≰-101211102=⫏≰-210122211","layer":2},{"info":"⫏≰-121200221021122⋻⩜⩜⫏≰-210122211=NaN","layer":1},{"info":"⊄⩳↩⫏≰1101211=⫏≰-11012110","layer":3},{"info":"↴⪽⋼⫏≰21202102=⫏≰21202102","layer":3},{"info":"⫏≰-11012110+⇶⊼⫏≰21202102=NaN","layer":2},{"info":"↡NaN=NaN","layer":1},{"info":"NaN⨔⇊NaN=NaN","layer":0}]}
{"id":648,"expression_no_base_symbol":"(($1405$⫞⩸⩒$1711$)⫠)⩇∃⫛((-$2472$)⇮⋭(∟⋨$1883$))∝(($3635$∩⋅)≧⫂∧($2871$⩺⪪$5617$))⊲⩕⊾($5418$∑⇟⊟$1656$)⇤($3604$⨓$1010$)","expression":"((⫏≰1221001⫞⩸⩒⫏≰2100101)⫠)⩇∃⫛((-⫏≰10101120)⇮⋭(∟⋨⫏≰2120202))∝((⫏≰11222122∩⋅)≧⫂∧(⫏≰10221100⩺⪪⫏≰21201001))⊲⩕⊾(⫏≰21102200∑⇟⊟⫏≰2021100)⇤(⫏≰11221111⨓⫏≰1101102)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":27148,"operation_count":14,"complexity_ratio":1939.142857142857,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1405,"base":3},"right_expr":{"type":"numeric_atoms","value":1711,"base":3}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2472,"base":3}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1883,"base":3}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":3635,"base":3}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2871,"base":3},"right_expr":{"type":"numeric_atoms","value":5617,"base":3}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5418,"base":3},"right_expr":{"type":"numeric_atoms","value":1656,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3604,"base":3},"right_expr":{"type":"numeric_atoms","value":1010,"base":3}}}}},"used_operators":["cTDWOvIxvz","1aApVXNlOP","6SnOT2rOjz","XGcMNugi78","vkpjKywKVM","t8gj7n24qd","ctOc4cKSDt","DmTXOeWf9t","Ph9nP6C5qx","2MzE1hQ0cz","uvdQJvN4PV","YSKBFp38Pu","U7g4x0WXJJ","3ViojmjbAp"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLAdDNolq6","tmPS8pqC7x","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1405","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=1711, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1711","layer":3},{"info":"compute unary expreesion, input=1711, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=2472","layer":4},{"info":"compute unary expreesion, input=2472, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2472","layer":3},{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1399","layer":3},{"info":"compute binary expreesion, left_input=-2472, right_input=-1399, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, 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=540","layer":1},{"info":"number node, value=3635","layer":4},{"info":"compute unary expreesion, input=3635, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-3514","layer":3},{"info":"number node, value=2871","layer":4},{"info":"number node, value=5617","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=5617, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=-3514, right_input=-1818, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-1696","layer":2},{"info":"number node, value=5418","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=5418, right_input=1656, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3604","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=1010, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1013","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1013, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1696, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=540, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1221001⫞⩸⩒⫏≰2100101)⫠)⩇∃⫛((-⫏≰10101120)⇮⋭(∟⋨⫏≰2120202))∝((⫏≰11222122∩⋅)≧⫂∧(⫏≰10221100⩺⪪⫏≰21201001))⊲⩕⊾(⫏≰21102200∑⇟⊟⫏≰2021100)⇤(⫏≰11221111⨓⫏≰1101102)=NaN","reverse_text":"NaN=((⫏≰1221001⫞⩸⩒⫏≰2100101)⫠)⩇∃⫛((-⫏≰10101120)⇮⋭(∟⋨⫏≰2120202))∝((⫏≰11222122∩⋅)≧⫂∧(⫏≰10221100⩺⪪⫏≰21201001))⊲⩕⊾(⫏≰21102200∑⇟⊟⫏≰2021100)⇤(⫏≰11221111⨓⫏≰1101102)","cot":[{"info":"⫏≰1221001⫞⩸⩒⫏≰2100101=⫏≰2100101","layer":3},{"info":"⫏≰2100101⫠=⫏≰0","layer":2},{"info":"-⫏≰10101120=⫏≰-10101120","layer":3},{"info":"∟⋨⫏≰2120202=⫏≰-1220211","layer":3},{"info":"⫏≰-10101120⇮⋭⫏≰-1220211=⫏≰2111","layer":2},{"info":"⫏≰0⩇∃⫛⫏≰2111=⫏≰202000","layer":1},{"info":"⫏≰11222122∩⋅=⫏≰-11211011","layer":3},{"info":"⫏≰10221100⩺⪪⫏≰21201001=⫏≰-2111100","layer":3},{"info":"⫏≰-11211011≧⫂∧⫏≰-2111100=⫏≰-2022211","layer":2},{"info":"⫏≰21102200∑⇟⊟⫏≰2021100=NaN","layer":3},{"info":"⫏≰11221111⨓⫏≰1101102=⫏≰-1101112","layer":3},{"info":"NaN⇤⫏≰-1101112=NaN","layer":2},{"info":"⫏≰-2022211⊲⩕⊾NaN=NaN","layer":1},{"info":"⫏≰202000∝NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"(($1830$⨓$3229$)⫒⫫(⊀$7897$))⨫⇇↔($2249$≬⋮$3599$⫦⪉$6251$≴⪞⇿$1359$)⪭≯(($6636$⨚⇆$3574$⨁⊸⫻)⩵∡($1727$⇤$1617$)⫗⊷⫓($1275$⩖⊿$2182$))","expression":"((⫏≰2111210⨓⫏≰11102121)⫒⫫(⊀⫏≰101211111))⨫⇇↔(⫏≰10002022≬⋮⫏≰11221022⫦⪉⫏≰22120112≴⪞⇿⫏≰1212100)⪭≯((⫏≰100002210⨚⇆⫏≰11220101⨁⊸⫻)⩵∡(⫏≰2100222⇤⫏≰2012220)⫗⊷⫓(⫏≰1202020⩖⊿⫏≰2222211))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":148184,"operation_count":14,"complexity_ratio":10584.57142857143,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1830,"base":3},"right_expr":{"type":"numeric_atoms","value":3229,"base":3}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":7897,"base":3}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2249,"base":3},"right_expr":{"type":"numeric_atoms","value":3599,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6251,"base":3},"right_expr":{"type":"numeric_atoms","value":1359,"base":3}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":6636,"base":3},"right_expr":{"type":"numeric_atoms","value":3574,"base":3}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1727,"base":3},"right_expr":{"type":"numeric_atoms","value":1617,"base":3}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1275,"base":3},"right_expr":{"type":"numeric_atoms","value":2182,"base":3}}}}},"used_operators":["XAx5wpdLa6","LXhwmt4mBO","6Ko8hGgeMq","3ViojmjbAp","oPMjh9089D","wscyQdcy20","kbkesczE7y","lvlrscuwVU","Y7wcNGrDQJ","glklzrTFfD","lwHaAYXP2r","zashukvMKz","YSKBFp38Pu","RZ5CV9rWsJ"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=3229, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3232","layer":3},{"info":"number node, value=7897","layer":4},{"info":"compute unary expreesion, input=7897, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=31326","layer":3},{"info":"compute binary expreesion, left_input=-3232, right_input=31326, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=-46456","layer":2},{"info":"number node, value=2249","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=3599, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=6251","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=6251, right_input=1359, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=71473202","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=71473202, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=3164","layer":2},{"info":"compute binary expreesion, left_input=-46456, right_input=3164, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=6636","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=6636, right_input=3574, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=1727","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1617, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-13872","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=2182, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=12274","layer":3},{"info":"compute binary expreesion, left_input=-13872, right_input=12274, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2111210⨓⫏≰11102121)⫒⫫(⊀⫏≰101211111))⨫⇇↔(⫏≰10002022≬⋮⫏≰11221022⫦⪉⫏≰22120112≴⪞⇿⫏≰1212100)⪭≯((⫏≰100002210⨚⇆⫏≰11220101⨁⊸⫻)⩵∡(⫏≰2100222⇤⫏≰2012220)⫗⊷⫓(⫏≰1202020⩖⊿⫏≰2222211))=NaN","reverse_text":"NaN=((⫏≰2111210⨓⫏≰11102121)⫒⫫(⊀⫏≰101211111))⨫⇇↔(⫏≰10002022≬⋮⫏≰11221022⫦⪉⫏≰22120112≴⪞⇿⫏≰1212100)⪭≯((⫏≰100002210⨚⇆⫏≰11220101⨁⊸⫻)⩵∡(⫏≰2100222⇤⫏≰2012220)⫗⊷⫓(⫏≰1202020⩖⊿⫏≰2222211))","cot":[{"info":"⫏≰2111210⨓⫏≰11102121=⫏≰-11102201","layer":3},{"info":"⊀⫏≰101211111=⫏≰1120222020","layer":3},{"info":"⫏≰-11102201⫒⫫⫏≰1120222020=⫏≰-2100201121","layer":2},{"info":"⫏≰10002022≬⋮⫏≰11221022=⫏≰1012011","layer":3},{"info":"⫏≰22120112≴⪞⇿⫏≰1212100=⫏≰11222111012210122","layer":3},{"info":"⫏≰1012011⫦⪉⫏≰11222111012210122=⫏≰11100012","layer":2},{"info":"⫏≰-2100201121⨫⇇↔⫏≰11100012=⫏≰-201112","layer":1},{"info":"⫏≰100002210⨚⇆⫏≰11220101=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⫏≰2100222⇤⫏≰2012220=⫏≰-201000210","layer":3},{"info":"⫏≰1202020⩖⊿⫏≰2222211=⫏≰121211121","layer":3},{"info":"⫏≰-201000210⫗⊷⫓⫏≰121211121=⫏≰-11222","layer":2},{"info":"NaN⩵∡⫏≰-11222=NaN","layer":1},{"info":"⫏≰-201112⪭≯NaN=NaN","layer":0}]}
{"id":650,"expression_no_base_symbol":"(↴⪽⋼$1647$⪮%⊝$4876$)⇂≾⫗($2850$∓⋝$3671$⇞)⫳≱↱(⫡⇟⇯(⨆≐≲(⇖$2908$)))","expression":"(↴⪽⋼⫏≰2021000⪮%⊝⫏≰20200121)⇂≾⫗(⫏≰10220120∓⋝⫏≰12000222⇞)⫳≱↱(⫡⇟⇯(⨆≐≲(⇖⫏≰10222201)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":309,"operation_count":9,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1647,"base":3},"right_expr":{"type":"numeric_atoms","value":4876,"base":3}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2850,"base":3},"right_expr":{"type":"numeric_atoms","value":3671,"base":3}}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2908,"base":3}}}}},"used_operators":["ZvLB05nZmT","aBQ6xLxuTc","5TUYCnJO6w","IWmyXbctLI","5JYyxRJd4f","PoHhknlbAi","qWUSsah53b","Bi9z9uYZqW","tfWHHpNKUN"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DZ8iAZOCBD","P8v4zCKN1o","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","2DQ55sFlQl"],"result":"⫏≰-10211210","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1647","layer":4},{"info":"number node, value=4876","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=4876, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3610","layer":3},{"info":"compute unary expreesion, input=3610, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3610","layer":2},{"info":"number node, value=2850","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=2850, right_input=3671, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-154","layer":2},{"info":"compute binary expreesion, left_input=3610, right_input=-154, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=2908","layer":4},{"info":"compute unary expreesion, input=2908, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=1417560","layer":2},{"info":"compute unary expreesion, input=1417560, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2835988","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=2835988, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":0}],"base":3,"result_base":3,"text":"(↴⪽⋼⫏≰2021000⪮%⊝⫏≰20200121)⇂≾⫗(⫏≰10220120∓⋝⫏≰12000222⇞)⫳≱↱(⫡⇟⇯(⨆≐≲(⇖⫏≰10222201)))=⫏≰-10211210","reverse_text":"⫏≰-10211210=(↴⪽⋼⫏≰2021000⪮%⊝⫏≰20200121)⇂≾⫗(⫏≰10220120∓⋝⫏≰12000222⇞)⫳≱↱(⫡⇟⇯(⨆≐≲(⇖⫏≰10222201)))","cot":[{"info":"⫏≰2021000⪮%⊝⫏≰20200121=⫏≰11221201","layer":3},{"info":"↴⪽⋼⫏≰11221201=⫏≰11221201","layer":2},{"info":"⫏≰10220120∓⋝⫏≰12000222=⫏≰2111","layer":3},{"info":"⫏≰2111⇞=⫏≰-12201","layer":2},{"info":"⫏≰11221201⇂≾⫗⫏≰-12201=⫏≰-221001","layer":1},{"info":"⇖⫏≰10222201=⫏≰12221","layer":3},{"info":"⨆≐≲⫏≰12221=⫏≰2200000112020","layer":2},{"info":"⫡⇟⇯⫏≰2200000112020=⫏≰12100002020121","layer":1},{"info":"⫏≰-221001⫳≱↱⫏≰12100002020121=⫏≰-10211210","layer":0}]}
{"id":651,"expression_no_base_symbol":"$5480$≝⊿$5964$⩼⇪↪($4693$∛$1056$)⩒⫫($2638$⊉≛↸$2651$)≎⪠($2327$⨚⇆$4003$)≥⨤⩑($9747$∛$1097$)⊉↱≁($4484$⊴$1631$)∌↝$2686$⋹⋡⊁$4049$∣$5453$∘$4897$","expression":"⫏≰21111222≝⊿⫏≰22011220⩼⇪↪(⫏≰20102211∛⫏≰1110010)⩒⫫(⫏≰10121201⊉≛↸⫏≰10122012)≎⪠(⫏≰10012012⨚⇆⫏≰12111021)≥⨤⩑(⫏≰111101000∛⫏≰1111122)⊉↱≁(⫏≰20011002⊴⫏≰2020102)∌↝⫏≰10200111⋹⋡⊁⫏≰12112222∣⫏≰21110222∘⫏≰20201101","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":101332,"operation_count":15,"complexity_ratio":6755.466666666666,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":5480,"base":3},"right_expr":{"type":"numeric_atoms","value":5964,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4693,"base":3},"right_expr":{"type":"numeric_atoms","value":1056,"base":3}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2638,"base":3},"right_expr":{"type":"numeric_atoms","value":2651,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2327,"base":3},"right_expr":{"type":"numeric_atoms","value":4003,"base":3}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":9747,"base":3},"right_expr":{"type":"numeric_atoms","value":1097,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4484,"base":3},"right_expr":{"type":"numeric_atoms","value":1631,"base":3}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2686,"base":3},"right_expr":{"type":"numeric_atoms","value":4049,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5453,"base":3},"right_expr":{"type":"numeric_atoms","value":4897,"base":3}}}}},"used_operators":["gJLn6v0xnP","KFSx94NKJn","ocnLzx9CaJ","OKKcZfAt5B","w2537kitQq","aNhz54LH3e","DZ8iAZOCBD","lwHaAYXP2r","9Isq31Ruls","w2P8NbNXyL","Nsiff2A1zJ","PPChnnnBFF","As8RqfVLgs","Z5m6OM72h2"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","12rbrZMWeM","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eH2TOUuTDT","rysDP5nf3Z"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5480","layer":4},{"info":"number node, value=5964","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=5964, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-17941","layer":3},{"info":"number node, value=4693","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=1056, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-17941, right_input=67, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-37134","layer":2},{"info":"number node, value=2638","layer":4},{"info":"number node, value=2651","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=2651, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5276","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=4003","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=4003, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5276, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=-37134, right_input=19558, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"number node, value=9747","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=9747, right_input=1097, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=4484","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=4484, right_input=1631, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"number node, value=2686","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=4049, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4799","layer":3},{"info":"number node, value=5453","layer":4},{"info":"number node, value=4897","layer":4},{"info":"compute binary expreesion, left_input=5453, right_input=4897, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=10906","layer":3},{"info":"compute binary expreesion, left_input=4799, right_input=10906, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4799","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4799, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"⫏≰21111222≝⊿⫏≰22011220⩼⇪↪(⫏≰20102211∛⫏≰1110010)⩒⫫(⫏≰10121201⊉≛↸⫏≰10122012)≎⪠(⫏≰10012012⨚⇆⫏≰12111021)≥⨤⩑(⫏≰111101000∛⫏≰1111122)⊉↱≁(⫏≰20011002⊴⫏≰2020102)∌↝⫏≰10200111⋹⋡⊁⫏≰12112222∣⫏≰21110222∘⫏≰20201101=⫏≰1200201","reverse_text":"⫏≰1200201=⫏≰21111222≝⊿⫏≰22011220⩼⇪↪(⫏≰20102211∛⫏≰1110010)⩒⫫(⫏≰10121201⊉≛↸⫏≰10122012)≎⪠(⫏≰10012012⨚⇆⫏≰12111021)≥⨤⩑(⫏≰111101000∛⫏≰1111122)⊉↱≁(⫏≰20011002⊴⫏≰2020102)∌↝⫏≰10200111⋹⋡⊁⫏≰12112222∣⫏≰21110222∘⫏≰20201101","cot":[{"info":"⫏≰21111222≝⊿⫏≰22011220=⫏≰-220121111","layer":3},{"info":"⫏≰20102211∛⫏≰1110010=⫏≰2111","layer":3},{"info":"⫏≰-220121111⩼⇪↪⫏≰2111=⫏≰-1212221100","layer":2},{"info":"⫏≰10121201⊉≛↸⫏≰10122012=⫏≰21020102","layer":3},{"info":"⫏≰10012012⨚⇆⫏≰12111021=NaN","layer":3},{"info":"⫏≰21020102≎⪠NaN=⫏≰222211101","layer":2},{"info":"⫏≰-1212221100⩒⫫⫏≰222211101=⫏≰12221","layer":1},{"info":"⫏≰111101000∛⫏≰1111122=⫏≰2111","layer":3},{"info":"⫏≰20011002⊴⫏≰2020102=NaN","layer":3},{"info":"⫏≰2111⊉↱≁NaN=NaN","layer":2},{"info":"⫏≰10200111⋹⋡⊁⫏≰12112222=⫏≰20120202","layer":3},{"info":"⫏≰21110222∘⫏≰20201101=⫏≰112221221","layer":3},{"info":"⫏≰20120202∣⫏≰112221221=⫏≰20120202","layer":2},{"info":"NaN∌↝⫏≰20120202=NaN","layer":1},{"info":"⫏≰12221≥⨤⩑NaN=⫏≰1200201","layer":0}]}
{"id":652,"expression_no_base_symbol":"(⫓⪴(↓⇌($5498$⊔$8797$)))⩘(($2147$≬⋮$5276$)∺≝⩲$4960$↳≱$1044$≥⨤⩑((⫟$5456$)⋻⩜⩜($4446$⨌↪)))","expression":"(⫓⪴(↓⇌(⫏≰21112122⊔⫏≰110001211)))⩘((⫏≰2221112≬⋮⫏≰21020102)∺≝⩲⫏≰20210201↳≱⫏≰1102200≥⨤⩑((⫟⫏≰21111002)⋻⩜⩜(⫏≰20002200⨌↪)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59568,"operation_count":11,"complexity_ratio":5415.272727272727,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5498,"base":3},"right_expr":{"type":"numeric_atoms","value":8797,"base":3}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2147,"base":3},"right_expr":{"type":"numeric_atoms","value":5276,"base":3}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4960,"base":3},"right_expr":{"type":"numeric_atoms","value":1044,"base":3}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5456,"base":3}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":4446,"base":3}}}}},"used_operators":["cHh1gJQ2o6","eLxqMNBOBk","PxpmPgHHJV","E4l6HwMY31","gJLn6v0xnP","KPf6cnQVty","kbkesczE7y","JwTKLfZU96","oDCm7WA9JY","z4E1FaHLuy","cWQsF5MvuD"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9HNa5Wba9A","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5498","layer":4},{"info":"number node, value=8797","layer":4},{"info":"compute binary expreesion, left_input=5498, right_input=8797, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=52581","layer":3},{"info":"compute unary expreesion, input=52581, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=52581","layer":2},{"info":"compute unary expreesion, input=52581, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"number node, value=2147","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=5276, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4960","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=4960, right_input=1044, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=5456","layer":4},{"info":"compute unary expreesion, input=5456, 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=-15461","layer":3},{"info":"number node, value=4446","layer":4},{"info":"compute unary expreesion, input=4446, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=-15461, right_input=-480, 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":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, 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=inf, right_input=1234, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫓⪴(↓⇌(⫏≰21112122⊔⫏≰110001211)))⩘((⫏≰2221112≬⋮⫏≰21020102)∺≝⩲⫏≰20210201↳≱⫏≰1102200≥⨤⩑((⫟⫏≰21111002)⋻⩜⩜(⫏≰20002200⨌↪)))=⫏≰12221","reverse_text":"⫏≰12221=(⫓⪴(↓⇌(⫏≰21112122⊔⫏≰110001211)))⩘((⫏≰2221112≬⋮⫏≰21020102)∺≝⩲⫏≰20210201↳≱⫏≰1102200≥⨤⩑((⫟⫏≰21111002)⋻⩜⩜(⫏≰20002200⨌↪)))","cot":[{"info":"⫏≰21112122⊔⫏≰110001211=⫏≰2200010110","layer":3},{"info":"↓⇌⫏≰2200010110=⫏≰2200010110","layer":2},{"info":"⫓⪴⫏≰2200010110=Inf","layer":1},{"info":"⫏≰2221112≬⋮⫏≰21020102=⫏≰1012011","layer":3},{"info":"⫏≰20210201↳≱⫏≰1102200=⫏≰0","layer":3},{"info":"⫏≰1012011∺≝⩲⫏≰0=⫏≰12221","layer":2},{"info":"⫟⫏≰21111002=⫏≰-210012122","layer":3},{"info":"⫏≰20002200⨌↪=⫏≰-122210","layer":3},{"info":"⫏≰-210012122⋻⩜⩜⫏≰-122210=NaN","layer":2},{"info":"⫏≰12221≥⨤⩑NaN=⫏≰1200201","layer":1},{"info":"Inf⩘⫏≰1200201=⫏≰12221","layer":0}]}
{"id":653,"expression_no_base_symbol":"(((⨴⫝$6585$)⫦⪉$2361$⨥⫆$2129$)∛≔)⋕⪉⪜((∓⪦$4541$)⪥($1667$↬$1547$)+⪬∐((⊆⋠$3423$)⫔⩽⩺$1306$⪎↠$1204$))","expression":"(((⨴⫝⫏≰100000220)⫦⪉⫏≰10020110⨥⫆⫏≰2220212)∛≔)⋕⪉⪜((∓⪦⫏≰20020012)⪥(⫏≰2021202↬⫏≰2010022)+⪬∐((⊆⋠⫏≰11200210)⫔⩽⩺⫏≰1210101⪎↠⫏≰1122121))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30418,"operation_count":12,"complexity_ratio":2534.8333333333335,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":6585,"base":3}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2361,"base":3},"right_expr":{"type":"numeric_atoms","value":2129,"base":3}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":4541,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1667,"base":3},"right_expr":{"type":"numeric_atoms","value":1547,"base":3}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3423,"base":3}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1306,"base":3},"right_expr":{"type":"numeric_atoms","value":1204,"base":3}}}}},"used_operators":["z6LnFrNh4i","mGnSCrte3L","wscyQdcy20","SVb2v531z1","yXekIHxTD4","2GS7woTJqF","QbnwKVWMIQ","D309nIvmXG","B5M0gjZbta","i9eR4S00cU","EBhcHTkKd8","3tVxb0NHM4"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","g55IO6H4Gj","D4vGDi5EA2","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rGHVDoGpnC","Tw270M8GLb","fu6greOZ01","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⫏≰21120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6585","layer":4},{"info":"compute unary expreesion, input=6585, 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":3},{"info":"number node, value=2361","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=2129, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4134","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=4134, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5651496","layer":2},{"info":"compute unary expreesion, input=-5651496, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":1},{"info":"number node, value=4541","layer":4},{"info":"compute unary expreesion, input=4541, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=4133","layer":3},{"info":"number node, value=1667","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=1547, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4133, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=21184","layer":2},{"info":"number node, value=3423","layer":4},{"info":"compute unary expreesion, input=3423, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=1204, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=21184, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-63552","layer":1},{"info":"compute binary expreesion, left_input=-305287, right_input=-63552, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":3,"result_base":3,"text":"(((⨴⫝⫏≰100000220)⫦⪉⫏≰10020110⨥⫆⫏≰2220212)∛≔)⋕⪉⪜((∓⪦⫏≰20020012)⪥(⫏≰2021202↬⫏≰2010022)+⪬∐((⊆⋠⫏≰11200210)⫔⩽⩺⫏≰1210101⪎↠⫏≰1122121))=⫏≰21120","reverse_text":"⫏≰21120=(((⨴⫝⫏≰100000220)⫦⪉⫏≰10020110⨥⫆⫏≰2220212)∛≔)⋕⪉⪜((∓⪦⫏≰20020012)⪥(⫏≰2021202↬⫏≰2010022)+⪬∐((⊆⋠⫏≰11200210)⫔⩽⩺⫏≰1210101⪎↠⫏≰1122121))","cot":[{"info":"⨴⫝⫏≰100000220=⫏≰12022200120002","layer":3},{"info":"⫏≰10020110⨥⫆⫏≰2220212=⫏≰12200010","layer":3},{"info":"⫏≰12022200120002⫦⪉⫏≰12200010=⫏≰-101122010101200","layer":2},{"info":"⫏≰-101122010101200∛≔=⫏≰-120111202221","layer":1},{"info":"∓⪦⫏≰20020012=⫏≰12200002","layer":3},{"info":"⫏≰2021202↬⫏≰2010022=NaN","layer":3},{"info":"⫏≰12200002⪥NaN=⫏≰1002001121","layer":2},{"info":"⊆⋠⫏≰11200210=⫏≰0","layer":3},{"info":"⫏≰1210101⪎↠⫏≰1122121=⫏≰12221","layer":3},{"info":"⫏≰0⫔⩽⩺⫏≰12221=NaN","layer":2},{"info":"⫏≰1002001121+⪬∐NaN=⫏≰-10020011210","layer":1},{"info":"⫏≰-120111202221⋕⪉⪜⫏≰-10020011210=⫏≰21120","layer":0}]}
{"id":654,"expression_no_base_symbol":"(($2502$⋹)⫥∨⫟($1570$⊝)⩨($3781$⊝⪿⪼$7296$)⪚($1291$⪛⫼$2743$))⋹⋡⊁((+⊝⨔($1840$⇯⋐))⇍⊗($1629$⪘⫢$6439$∕⩚(↩⪖$1561$)))","expression":"((⫏≰10102200⋹)⫥∨⫟(⫏≰2011011⊝)⩨(⫏≰12012001⊝⪿⪼⫏≰101000020)⪚(⫏≰1202211⪛⫼⫏≰10202121))⋹⋡⊁((+⊝⨔(⫏≰2112011⇯⋐))⇍⊗(⫏≰2020100⪘⫢⫏≰22211111∕⩚(↩⪖⫏≰2010211)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":976,"operation_count":14,"complexity_ratio":69.71428571428571,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":2502,"base":3}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1570,"base":3}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3781,"base":3},"right_expr":{"type":"numeric_atoms","value":7296,"base":3}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1291,"base":3},"right_expr":{"type":"numeric_atoms","value":2743,"base":3}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1840,"base":3}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1629,"base":3},"right_expr":{"type":"numeric_atoms","value":6439,"base":3}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1561,"base":3}}}}},"used_operators":["As8RqfVLgs","2DlMacCsIx","KYD54nUTWz","opAxDRczMr","O6EZ0fifGK","HrjLwUk87U","3Oe9XWJUTD","hyuBjUqXlG","5uvYHDjeKN","DhbWaqg5eL","LkLIoiE525","z9ffQ9n5Zr","oacrs7FA3X","fG6uBQFnGz"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=1570","layer":4},{"info":"compute unary expreesion, input=1570, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1570","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=1570, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3781","layer":4},{"info":"number node, value=7296","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=7296, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=66647","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=2743, 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":3},{"info":"compute binary expreesion, left_input=66647, right_input=968, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=131002","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=131002, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1840","layer":4},{"info":"compute unary expreesion, input=1840, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6398","layer":3},{"info":"compute unary expreesion, input=6398, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=1629","layer":4},{"info":"number node, value=6439","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=6439, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3134","layer":3},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-12348","layer":3},{"info":"compute binary expreesion, left_input=3134, right_input=-12348, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-487, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10102200⋹)⫥∨⫟(⫏≰2011011⊝)⩨(⫏≰12012001⊝⪿⪼⫏≰101000020)⪚(⫏≰1202211⪛⫼⫏≰10202121))⋹⋡⊁((+⊝⨔(⫏≰2112011⇯⋐))⇍⊗(⫏≰2020100⪘⫢⫏≰22211111∕⩚(↩⪖⫏≰2010211)))=NaN","reverse_text":"NaN=((⫏≰10102200⋹)⫥∨⫟(⫏≰2011011⊝)⩨(⫏≰12012001⊝⪿⪼⫏≰101000020)⪚(⫏≰1202211⪛⫼⫏≰10202121))⋹⋡⊁((+⊝⨔(⫏≰2112011⇯⋐))⇍⊗(⫏≰2020100⪘⫢⫏≰22211111∕⩚(↩⪖⫏≰2010211)))","cot":[{"info":"⫏≰10102200⋹=⫏≰-202","layer":3},{"info":"⫏≰2011011⊝=⫏≰2011011","layer":3},{"info":"⫏≰-202⫥∨⫟⫏≰2011011=NaN","layer":2},{"info":"⫏≰12012001⊝⪿⪼⫏≰101000020=⫏≰10101102102","layer":3},{"info":"⫏≰1202211⪛⫼⫏≰10202121=⫏≰1022212","layer":3},{"info":"⫏≰10101102102⪚⫏≰1022212=⫏≰20122200221","layer":2},{"info":"NaN⩨⫏≰20122200221=NaN","layer":1},{"info":"⫏≰2112011⇯⋐=⫏≰22202222","layer":3},{"info":"+⊝⨔⫏≰22202222=⫏≰2002101","layer":2},{"info":"⫏≰2020100⪘⫢⫏≰22211111=⫏≰11022002","layer":3},{"info":"↩⪖⫏≰2010211=⫏≰-121221100","layer":3},{"info":"⫏≰11022002∕⩚⫏≰-121221100=⫏≰-200001","layer":2},{"info":"⫏≰2002101⇍⊗⫏≰-200001=⫏≰-100001","layer":1},{"info":"NaN⋹⋡⊁⫏≰-100001=NaN","layer":0}]}
{"id":655,"expression_no_base_symbol":"((⨭⩧⫛($2482$↼⊘⨖$2394$))⩹$3396$↱$3884$⫳≱↱$4947$∀⇚≩$1932$)⪡(+⊝⨔(⊀$1643$))⋾⨃∁($2274$≀⫉$1775$⫩⊇)","expression":"((⨭⩧⫛(⫏≰10101221↼⊘⨖⫏≰10021200))⩹⫏≰11122210↱⫏≰12022212⫳≱↱⫏≰20210020∀⇚≩⫏≰2122120)⪡(+⊝⨔(⊀⫏≰2020212))⋾⨃∁(⫏≰10010020≀⫉⫏≰2102202⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37875,"operation_count":12,"complexity_ratio":3156.25,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2482,"base":3},"right_expr":{"type":"numeric_atoms","value":2394,"base":3}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3396,"base":3},"right_expr":{"type":"numeric_atoms","value":3884,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4947,"base":3},"right_expr":{"type":"numeric_atoms","value":1932,"base":3}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1643,"base":3}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2274,"base":3},"right_expr":{"type":"numeric_atoms","value":1775,"base":3}}}}},"used_operators":["oraRL2iQuh","2Wsdkap16l","g21JL6JxX7","bPywburJMS","ZvLB05nZmT","SR5kFfdi6N","LRNGc0VcxI","212REbPD9h","DhbWaqg5eL","oPMjh9089D","BjRHVeLaeN","oZj3VtZNQx"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","X99M06cbEe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⫏≰100000120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2482","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=2394, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4566","layer":3},{"info":"compute unary expreesion, input=4566, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=3396","layer":4},{"info":"number node, value=3884","layer":4},{"info":"compute binary expreesion, left_input=3396, right_input=3884, 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=-11130","layer":3},{"info":"number node, value=4947","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=4947, right_input=1932, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11130, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2802, 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=-2804","layer":1},{"info":"number node, value=1643","layer":4},{"info":"compute unary expreesion, input=1643, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6310","layer":3},{"info":"compute unary expreesion, input=6310, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=2274","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1775, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2780","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-2780, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=77317266","layer":1},{"info":"compute binary expreesion, left_input=-2804, right_input=77317266, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=6576","layer":0}],"base":3,"result_base":3,"text":"((⨭⩧⫛(⫏≰10101221↼⊘⨖⫏≰10021200))⩹⫏≰11122210↱⫏≰12022212⫳≱↱⫏≰20210020∀⇚≩⫏≰2122120)⪡(+⊝⨔(⊀⫏≰2020212))⋾⨃∁(⫏≰10010020≀⫉⫏≰2102202⫩⊇)=⫏≰100000120","reverse_text":"⫏≰100000120=((⨭⩧⫛(⫏≰10101221↼⊘⨖⫏≰10021200))⩹⫏≰11122210↱⫏≰12022212⫳≱↱⫏≰20210020∀⇚≩⫏≰2122120)⪡(+⊝⨔(⊀⫏≰2020212))⋾⨃∁(⫏≰10010020≀⫉⫏≰2102202⫩⊇)","cot":[{"info":"⫏≰10101221↼⊘⨖⫏≰10021200=⫏≰20021010","layer":3},{"info":"⨭⩧⫛⫏≰20021010=NaN","layer":2},{"info":"⫏≰11122210↱⫏≰12022212=⫏≰-120021020","layer":3},{"info":"⫏≰20210020∀⇚≩⫏≰2122120=NaN","layer":3},{"info":"⫏≰-120021020⫳≱↱NaN=⫏≰-10211210","layer":2},{"info":"NaN⩹⫏≰-10211210=⫏≰-10211212","layer":1},{"info":"⊀⫏≰2020212=⫏≰22122201","layer":3},{"info":"+⊝⨔⫏≰22122201=⫏≰2002101","layer":2},{"info":"⫏≰10010020≀⫉⫏≰2102202=⫏≰10212112","layer":3},{"info":"⫏≰10212112⫩⊇=⫏≰-10210222","layer":2},{"info":"⫏≰2002101⋾⨃∁⫏≰-10210222=⫏≰12101111010100110","layer":1},{"info":"⫏≰-10211212⪡⫏≰12101111010100110=⫏≰100000120","layer":0}]}
{"id":656,"expression_no_base_symbol":"($3493$⪭$1212$⫡⨏$2914$⇻⋧≁$1995$)⩨($2768$⫸⊐$6479$)⇮⋭$2853$⫲≸⪮$9096$↱((⊤⊝($1545$⪃↞⩐))⊉≛↸(∂⩏⊆$2968$)⫁⪎($1609$≧⫂∧$1771$))","expression":"(⫏≰11210101⪭⫏≰1122220⫡⨏⫏≰10222221⇻⋧≁⫏≰2201220)⩨(⫏≰10210112⫸⊐⫏≰22212222)⇮⋭⫏≰10220200⫲≸⪮⫏≰110110220↱((⊤⊝(⫏≰2010020⪃↞⩐))⊉≛↸(∂⩏⊆⫏≰11001221)⫁⪎(⫏≰2012121≧⫂∧⫏≰2102121))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6671,"operation_count":14,"complexity_ratio":476.5,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3493,"base":3},"right_expr":{"type":"numeric_atoms","value":1212,"base":3}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2914,"base":3},"right_expr":{"type":"numeric_atoms","value":1995,"base":3}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2768,"base":3},"right_expr":{"type":"numeric_atoms","value":6479,"base":3}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2853,"base":3},"right_expr":{"type":"numeric_atoms","value":9096,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1545,"base":3}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2968,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1609,"base":3},"right_expr":{"type":"numeric_atoms","value":1771,"base":3}}}}},"used_operators":["SR5kFfdi6N","2DlMacCsIx","QMFrweE19q","j9kHMeSvPp","jCPkEVoL5K","vkpjKywKVM","mqXw5SEYmG","P3lXMJvFrc","DZ8iAZOCBD","rXAclfmB4M","grXIztHqDa","xRrnTEsQ6j","8WDwsbhb0R","Ph9nP6C5qx"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-12102020020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3493","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3493, right_input=1212, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=1995, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-447, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-86","layer":2},{"info":"number node, value=2768","layer":4},{"info":"number node, value=6479","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=6479, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25791","layer":3},{"info":"number node, value=2853","layer":4},{"info":"number node, value=9096","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=9096, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2853","layer":3},{"info":"compute binary expreesion, left_input=25791, right_input=2853, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-86, right_input=-473, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":1},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=9576","layer":3},{"info":"compute unary expreesion, input=9576, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=17854","layer":2},{"info":"number node, value=2968","layer":4},{"info":"compute unary expreesion, input=2968, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-8983","layer":3},{"info":"number node, value=1609","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=1771, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1298","layer":3},{"info":"compute binary expreesion, left_input=-8983, right_input=1298, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-10281","layer":2},{"info":"compute binary expreesion, left_input=17854, right_input=-10281, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=35708","layer":1},{"info":"compute binary expreesion, left_input=-15, right_input=35708, 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=-106602","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11210101⪭⫏≰1122220⫡⨏⫏≰10222221⇻⋧≁⫏≰2201220)⩨(⫏≰10210112⫸⊐⫏≰22212222)⇮⋭⫏≰10220200⫲≸⪮⫏≰110110220↱((⊤⊝(⫏≰2010020⪃↞⩐))⊉≛↸(∂⩏⊆⫏≰11001221)⫁⪎(⫏≰2012121≧⫂∧⫏≰2102121))=⫏≰-12102020020","reverse_text":"⫏≰-12102020020=(⫏≰11210101⪭⫏≰1122220⫡⨏⫏≰10222221⇻⋧≁⫏≰2201220)⩨(⫏≰10210112⫸⊐⫏≰22212222)⇮⋭⫏≰10220200⫲≸⪮⫏≰110110220↱((⊤⊝(⫏≰2010020⪃↞⩐))⊉≛↸(∂⩏⊆⫏≰11001221)⫁⪎(⫏≰2012121≧⫂∧⫏≰2102121))","cot":[{"info":"⫏≰11210101⪭⫏≰1122220=⫏≰12","layer":3},{"info":"⫏≰10222221⇻⋧≁⫏≰2201220=⫏≰-121120","layer":3},{"info":"⫏≰12⫡⨏⫏≰-121120=⫏≰-10012","layer":2},{"info":"⫏≰10210112⫸⊐⫏≰22212222=⫏≰1022101020","layer":3},{"info":"⫏≰10220200⫲≸⪮⫏≰110110220=⫏≰10220200","layer":3},{"info":"⫏≰1022101020⇮⋭⫏≰10220200=⫏≰-122112","layer":2},{"info":"⫏≰-10012⩨⫏≰-122112=⫏≰-120","layer":1},{"info":"⫏≰2010020⪃↞⩐=⫏≰111010200","layer":3},{"info":"⊤⊝⫏≰111010200=⫏≰220111021","layer":2},{"info":"∂⩏⊆⫏≰11001221=⫏≰-110022201","layer":3},{"info":"⫏≰2012121≧⫂∧⫏≰2102121=⫏≰1210002","layer":3},{"info":"⫏≰-110022201⫁⪎⫏≰1210002=⫏≰-112002210","layer":2},{"info":"⫏≰220111021⊉≛↸⫏≰-112002210=⫏≰1210222112","layer":1},{"info":"⫏≰-120↱⫏≰1210222112=⫏≰-12102020020","layer":0}]}
{"id":657,"expression_no_base_symbol":"($2547$⨸$1734$⪮%⊝($3342$⋓$1622$))⇡⇂(($4260$∽$4171$)↓$4251$↤⩊$3676$)⪒($3494$⊭↱$4505$↰)⪢(($4018$∽$3578$)⪍↜⋙($3440$⪕$3338$))","expression":"(⫏≰10111100⨸⫏≰2101020⪮%⊝(⫏≰11120210⋓⫏≰2020002))⇡⇂((⫏≰12211210∽⫏≰12201111)↓⫏≰12211110↤⩊⫏≰12001011)⪒(⫏≰11210102⊭↱⫏≰20011212↰)⪢((⫏≰12111211∽⫏≰11220112)⪍↜⋙(⫏≰11201102⪕⫏≰11120122))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":148756,"operation_count":14,"complexity_ratio":10625.42857142857,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2547,"base":3},"right_expr":{"type":"numeric_atoms","value":1734,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3342,"base":3},"right_expr":{"type":"numeric_atoms","value":1622,"base":3}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4260,"base":3},"right_expr":{"type":"numeric_atoms","value":4171,"base":3}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4251,"base":3},"right_expr":{"type":"numeric_atoms","value":3676,"base":3}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3494,"base":3},"right_expr":{"type":"numeric_atoms","value":4505,"base":3}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4018,"base":3},"right_expr":{"type":"numeric_atoms","value":3578,"base":3}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3440,"base":3},"right_expr":{"type":"numeric_atoms","value":3338,"base":3}}}}},"used_operators":["f6k1SAg4EE","UMwdvZNt44","IWmyXbctLI","KmoU8R5UQR","T2fj7uvVaJ","Af076pWI7l","y4ImoPnbV5","13rbtpv6ld","dWAJyo7jo9","bl5wxAcryP","COABgblf1C","L05ObWFQCd","umQnsF7QlU"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","k8jYdgA6NY","nCS4ZIUYfx","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2547","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=1734, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5094","layer":3},{"info":"number node, value=3342","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=1622, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5094, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=4260","layer":4},{"info":"number node, value=4171","layer":4},{"info":"compute binary expreesion, left_input=4260, right_input=4171, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-33635","layer":3},{"info":"number node, value=4251","layer":4},{"info":"number node, value=3676","layer":4},{"info":"compute binary expreesion, left_input=4251, right_input=3676, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-33635, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, 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=3494","layer":4},{"info":"number node, value=4505","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=4505, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2027","layer":3},{"info":"compute unary expreesion, input=2027, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1926","layer":2},{"info":"number node, value=4018","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=4018, right_input=3578, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-30646","layer":3},{"info":"number node, value=3440","layer":4},{"info":"number node, value=3338","layer":4},{"info":"compute binary expreesion, left_input=3440, right_input=3338, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4443","layer":3},{"info":"compute binary expreesion, left_input=-30646, right_input=4443, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=143561","layer":2},{"info":"compute binary expreesion, left_input=1926, right_input=143561, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10111100⨸⫏≰2101020⪮%⊝(⫏≰11120210⋓⫏≰2020002))⇡⇂((⫏≰12211210∽⫏≰12201111)↓⫏≰12211110↤⩊⫏≰12001011)⪒(⫏≰11210102⊭↱⫏≰20011212↰)⪢((⫏≰12111211∽⫏≰11220112)⪍↜⋙(⫏≰11201102⪕⫏≰11120122))=NaN","reverse_text":"NaN=(⫏≰10111100⨸⫏≰2101020⪮%⊝(⫏≰11120210⋓⫏≰2020002))⇡⇂((⫏≰12211210∽⫏≰12201111)↓⫏≰12211110↤⩊⫏≰12001011)⪒(⫏≰11210102⊭↱⫏≰20011212↰)⪢((⫏≰12111211∽⫏≰11220112)⪍↜⋙(⫏≰11201102⪕⫏≰11120122))","cot":[{"info":"⫏≰10111100⨸⫏≰2101020=⫏≰20222200","layer":3},{"info":"⫏≰11120210⋓⫏≰2020002=⫏≰0","layer":3},{"info":"⫏≰20222200⪮%⊝⫏≰0=NaN","layer":2},{"info":"⫏≰12211210∽⫏≰12201111=⫏≰-1201010202","layer":3},{"info":"⫏≰12211110↤⩊⫏≰12001011=NaN","layer":3},{"info":"⫏≰-1201010202↓NaN=⫏≰-11222","layer":2},{"info":"NaN⇡⇂⫏≰-11222=NaN","layer":1},{"info":"⫏≰11210102⊭↱⫏≰20011212=⫏≰2210002","layer":3},{"info":"⫏≰2210002↰=⫏≰2122100","layer":2},{"info":"⫏≰12111211∽⫏≰11220112=⫏≰-1120001001","layer":3},{"info":"⫏≰11201102⪕⫏≰11120122=⫏≰20002120","layer":3},{"info":"⫏≰-1120001001⪍↜⋙⫏≰20002120=⫏≰21021221002","layer":2},{"info":"⫏≰2122100⪢⫏≰21021221002=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"(⨈⪑(≪$2037$))⩣⫁∢(($2129$⊾⪯⋞$3142$)⪕(⨂⪏⇭$2536$))⋾⨃∁(($5339$↱$3695$)∛$1006$↳≱$2352$)⨚(⨰⫟⨤($1034$∠↢$1532$))","expression":"(⨈⪑(≪⫏≰2210110))⩣⫁∢((⫏≰2220212⊾⪯⋞⫏≰11022101)⪕(⨂⪏⇭⫏≰10110221))⋾⨃∁((⫏≰21022202↱⫏≰12001212)∛⫏≰1101021↳≱⫏≰10020010)⨚(⨰⫟⨤(⫏≰1102022∠↢⫏≰2002202))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":99360,"operation_count":13,"complexity_ratio":7643.076923076923,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":2037,"base":3}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2129,"base":3},"right_expr":{"type":"numeric_atoms","value":3142,"base":3}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2536,"base":3}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5339,"base":3},"right_expr":{"type":"numeric_atoms","value":3695,"base":3}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":2352,"base":3}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1034,"base":3},"right_expr":{"type":"numeric_atoms","value":1532,"base":3}}}}},"used_operators":["212REbPD9h","JDUIKTTSIa","mp94q5OcYM","Qtd6bqUJcN","umQnsF7QlU","HK0tfVPux8","AYdpE9sXAk","nREPSIbpBE","w2537kitQq","SR5kFfdi6N","JwTKLfZU96","Tw270M8GLb","KbjG8mgYpV"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","BjRHVeLaeN","12rbrZMWeM","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2037","layer":4},{"info":"compute unary expreesion, input=2037, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute unary expreesion, input=913, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=2129","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=3142, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5858","layer":3},{"info":"number node, value=2536","layer":4},{"info":"compute unary expreesion, input=2536, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=6629","layer":3},{"info":"compute binary expreesion, left_input=5858, right_input=6629, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=5988","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=5988, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1575","layer":1},{"info":"number node, value=5339","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=5339, right_input=3695, 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=-10563","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=2352, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10563, 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":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=1532, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-24502","layer":3},{"info":"compute unary expreesion, input=-24502, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1575, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⨈⪑(≪⫏≰2210110))⩣⫁∢((⫏≰2220212⊾⪯⋞⫏≰11022101)⪕(⨂⪏⇭⫏≰10110221))⋾⨃∁((⫏≰21022202↱⫏≰12001212)∛⫏≰1101021↳≱⫏≰10020010)⨚(⨰⫟⨤(⫏≰1102022∠↢⫏≰2002202))=⫏≰12221","reverse_text":"⫏≰12221=(⨈⪑(≪⫏≰2210110))⩣⫁∢((⫏≰2220212⊾⪯⋞⫏≰11022101)⪕(⨂⪏⇭⫏≰10110221))⋾⨃∁((⫏≰21022202↱⫏≰12001212)∛⫏≰1101021↳≱⫏≰10020010)⨚(⨰⫟⨤(⫏≰1102022∠↢⫏≰2002202))","cot":[{"info":"≪⫏≰2210110=⫏≰1020211","layer":3},{"info":"⨈⪑⫏≰1020211=⫏≰1012011","layer":2},{"info":"⫏≰2220212⊾⪯⋞⫏≰11022101=⫏≰22000222","layer":3},{"info":"⨂⪏⇭⫏≰10110221=⫏≰100002112","layer":3},{"info":"⫏≰22000222⪕⫏≰100002112=⫏≰22012210","layer":2},{"info":"⫏≰1012011⩣⫁∢⫏≰22012210=⫏≰-2011100","layer":1},{"info":"⫏≰21022202↱⫏≰12001212=⫏≰-112111020","layer":3},{"info":"⫏≰1101021↳≱⫏≰10020010=⫏≰0","layer":3},{"info":"⫏≰-112111020∛⫏≰0=⫏≰2111","layer":2},{"info":"⫏≰1102022∠↢⫏≰2002202=⫏≰-1020121111","layer":3},{"info":"⨰⫟⨤⫏≰-1020121111=NaN","layer":2},{"info":"⫏≰2111⨚NaN=NaN","layer":1},{"info":"⫏≰-2011100⋾⨃∁NaN=⫏≰12221","layer":0}]}
{"id":659,"expression_no_base_symbol":"(($1760$⋻⩜⩜$1507$)∥⊢⊲($2621$≥⨤⩑$5359$)*($1015$⪄$1472$)≒∊$2599$↬$4136$)⨥⫆($2026$⫁⪎$4397$∽$2410$⫸⇳$2963$)≦↸($3060$⫯⪬∳$1139$≥⨤⩑(⇈$1324$))","expression":"((⫏≰2102012⋻⩜⩜⫏≰2001211)∥⊢⊲(⫏≰10121002≥⨤⩑⫏≰21100111)*(⫏≰1101121⪄⫏≰2000112)≒∊⫏≰10120021↬⫏≰12200012)⨥⫆(⫏≰2210001⫁⪎⫏≰20000212∽⫏≰10022021⫸⇳⫏≰11001202)≦↸(⫏≰11012100⫯⪬∳⫏≰1120012≥⨤⩑(⇈⫏≰1211001))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":28600,"operation_count":15,"complexity_ratio":1906.6666666666667,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1760,"base":3},"right_expr":{"type":"numeric_atoms","value":1507,"base":3}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2621,"base":3},"right_expr":{"type":"numeric_atoms","value":5359,"base":3}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1015,"base":3},"right_expr":{"type":"numeric_atoms","value":1472,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2599,"base":3},"right_expr":{"type":"numeric_atoms","value":4136,"base":3}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2026,"base":3},"right_expr":{"type":"numeric_atoms","value":4397,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2410,"base":3},"right_expr":{"type":"numeric_atoms","value":2963,"base":3}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3060,"base":3},"right_expr":{"type":"numeric_atoms","value":1139,"base":3}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1324,"base":3}}}}},"used_operators":["yXekIHxTD4","9HNa5Wba9A","v1UQAVDJRr","oDCm7WA9JY","gJLn6v0xnP","5KTvxBwnZo","SUmda5xLS4","B5M0gjZbta","RygbFNSyEJ","y4ImoPnbV5","xRrnTEsQ6j","gx7XJ7hdpj","d7ASUq0ydm","SLLxy00UIr"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","EBcxylXtPf","rGHVDoGpnC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1760","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=1507, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3520","layer":3},{"info":"number node, value=2621","layer":4},{"info":"number node, value=5359","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=5359, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=3520, right_input=1234, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1472, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-152197","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=4136","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=4136, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-152197, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2026","layer":4},{"info":"number node, value=4397","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=4397, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2371","layer":3},{"info":"number node, value=2410","layer":4},{"info":"number node, value=2963","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=2963, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2371, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=12033","layer":2},{"info":"number node, value=3060","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=1139, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14194","layer":3},{"info":"number node, value=1324","layer":4},{"info":"compute unary expreesion, input=1324, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=14194, right_input=-447, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=28388","layer":2},{"info":"compute binary expreesion, left_input=12033, right_input=28388, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-80161","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-80161, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2102012⋻⩜⩜⫏≰2001211)∥⊢⊲(⫏≰10121002≥⨤⩑⫏≰21100111)*(⫏≰1101121⪄⫏≰2000112)≒∊⫏≰10120021↬⫏≰12200012)⨥⫆(⫏≰2210001⫁⪎⫏≰20000212∽⫏≰10022021⫸⇳⫏≰11001202)≦↸(⫏≰11012100⫯⪬∳⫏≰1120012≥⨤⩑(⇈⫏≰1211001))=NaN","reverse_text":"NaN=((⫏≰2102012⋻⩜⩜⫏≰2001211)∥⊢⊲(⫏≰10121002≥⨤⩑⫏≰21100111)*(⫏≰1101121⪄⫏≰2000112)≒∊⫏≰10120021↬⫏≰12200012)⨥⫆(⫏≰2210001⫁⪎⫏≰20000212∽⫏≰10022021⫸⇳⫏≰11001202)≦↸(⫏≰11012100⫯⪬∳⫏≰1120012≥⨤⩑(⇈⫏≰1211001))","cot":[{"info":"⫏≰2102012⋻⩜⩜⫏≰2001211=⫏≰11211101","layer":3},{"info":"⫏≰10121002≥⨤⩑⫏≰21100111=⫏≰1200201","layer":3},{"info":"⫏≰11211101∥⊢⊲⫏≰1200201=NaN","layer":2},{"info":"⫏≰1101121⪄⫏≰2000112=⫏≰-21201202221","layer":3},{"info":"⫏≰10120021↬⫏≰12200012=NaN","layer":3},{"info":"⫏≰-21201202221≒∊NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⫏≰2210001⫁⪎⫏≰20000212=⫏≰-10020211","layer":3},{"info":"⫏≰10022021⫸⇳⫏≰11001202=⫏≰0","layer":3},{"info":"⫏≰-10020211∽⫏≰0=⫏≰121111200","layer":2},{"info":"⫏≰11012100⫯⪬∳⫏≰1120012=⫏≰201110201","layer":3},{"info":"⇈⫏≰1211001=⫏≰-121120","layer":3},{"info":"⫏≰201110201≥⨤⩑⫏≰-121120=⫏≰1102221102","layer":2},{"info":"⫏≰121111200≦↸⫏≰1102221102=⫏≰-11001221221","layer":1},{"info":"NaN⨥⫆⫏≰-11001221221=NaN","layer":0}]}
{"id":660,"expression_no_base_symbol":"(⊊≼∋($1040$⋓$2020$))⊕∕(($1394$⋅⇍$2665$)⨐⩸⫘$3677$⪡$2907$)⊴(⇖⫷⫕(⩩$1281$))⋹⋡⊁((⋣$2162$)⊱⇼⊻(⫖→$3478$))","expression":"(⊊≼∋(⫏≰1102112⋓⫏≰2202211))⊕∕((⫏≰1220122⋅⇍⫏≰10122201)⨐⩸⫘⫏≰12001012⪡⫏≰10222200)⊴(⇖⫷⫕(⩩⫏≰1202110))⋹⋡⊁((⋣⫏≰2222002)⊱⇼⊻(⫖→⫏≰11202211))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":41230,"operation_count":13,"complexity_ratio":3171.5384615384614,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1040,"base":3},"right_expr":{"type":"numeric_atoms","value":2020,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1394,"base":3},"right_expr":{"type":"numeric_atoms","value":2665,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3677,"base":3},"right_expr":{"type":"numeric_atoms","value":2907,"base":3}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1281,"base":3}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2162,"base":3}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":3478,"base":3}}}}},"used_operators":["Nsiff2A1zJ","9cloC0Ngie","FWz7pXsQhA","T2fj7uvVaJ","fu6greOZ01","AdZkA7nFnk","oraRL2iQuh","As8RqfVLgs","UHmRx3INFg","kMhfGuqI2H","FyVja0WsTP","zQWRhDnn8F","U4ylXWHChL"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","B5M0gjZbta","jCPkEVoL5K","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=2020","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2020, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=0","layer":2},{"info":"number node, value=1394","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=2665, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=3677","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=3677, right_input=2907, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=107, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-110","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-110, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":1},{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=2162","layer":4},{"info":"compute unary expreesion, input=2162, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-635533","layer":3},{"info":"number node, value=3478","layer":4},{"info":"compute unary expreesion, input=3478, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-635533, right_input=177, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-2539330","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-2539330, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=22314","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=22314, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊊≼∋(⫏≰1102112⋓⫏≰2202211))⊕∕((⫏≰1220122⋅⇍⫏≰10122201)⨐⩸⫘⫏≰12001012⪡⫏≰10222200)⊴(⇖⫷⫕(⩩⫏≰1202110))⋹⋡⊁((⋣⫏≰2222002)⊱⇼⊻(⫖→⫏≰11202211))=NaN","reverse_text":"NaN=(⊊≼∋(⫏≰1102112⋓⫏≰2202211))⊕∕((⫏≰1220122⋅⇍⫏≰10122201)⨐⩸⫘⫏≰12001012⪡⫏≰10222200)⊴(⇖⫷⫕(⩩⫏≰1202110))⋹⋡⊁((⋣⫏≰2222002)⊱⇼⊻(⫖→⫏≰11202211))","cot":[{"info":"⫏≰1102112⋓⫏≰2202211=⫏≰0","layer":3},{"info":"⊊≼∋⫏≰0=⫏≰0","layer":2},{"info":"⫏≰1220122⋅⇍⫏≰10122201=⫏≰-211","layer":3},{"info":"⫏≰12001012⪡⫏≰10222200=⫏≰10222","layer":3},{"info":"⫏≰-211⨐⩸⫘⫏≰10222=⫏≰-11002","layer":2},{"info":"⫏≰0⊕∕⫏≰-11002=⫏≰0","layer":1},{"info":"⩩⫏≰1202110=NaN","layer":3},{"info":"⇖⫷⫕NaN=⫏≰10212112","layer":2},{"info":"⋣⫏≰2222002=⫏≰-1012021210021","layer":3},{"info":"⫖→⫏≰11202211=⫏≰20120","layer":3},{"info":"⫏≰-1012021210021⊱⇼⊻⫏≰20120=⫏≰-11210000022021","layer":2},{"info":"⫏≰10212112⋹⋡⊁⫏≰-11210000022021=⫏≰1010121110","layer":1},{"info":"⫏≰0⊴⫏≰1010121110=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"((⇾⩊⇾($1051$⨫⇇↔$2771$))≭(⇠($1560$⪭≯$3843$)))∥⊢⊲(((⊑$1512$)⊋≦⊧$1184$⨜⨶$1482$)⫑)","expression":"((⇾⩊⇾(⫏≰1102221⨫⇇↔⫏≰10210122))≭(⇠(⫏≰2010210⪭≯⫏≰12021100)))∥⊢⊲(((⊑⫏≰2002000)⊋≦⊧⫏≰1121212⨜⨶⫏≰2000220)⫑)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":821,"operation_count":10,"complexity_ratio":82.1,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":2771,"base":3}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1560,"base":3},"right_expr":{"type":"numeric_atoms","value":3843,"base":3}}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1512,"base":3}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1184,"base":3},"right_expr":{"type":"numeric_atoms","value":1482,"base":3}}}}},"used_operators":["v1UQAVDJRr","rxpJgHHUmx","bx9Z9DAK5y","LXhwmt4mBO","18saOjeKKm","XAx5wpdLa6","CgIo77xlM2","oRDoc9rAEX","IkUmn0D7oy","HiPekx5b7W"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫏≰12110101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=2771, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-1743","layer":2},{"info":"number node, value=1560","layer":4},{"info":"number node, value=3843","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=3843, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1743, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1512","layer":4},{"info":"compute unary expreesion, input=1512, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1184","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1482, 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=-2708","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-2708, 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=5656","layer":2},{"info":"compute unary expreesion, input=5656, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=3979","layer":0}],"base":3,"result_base":3,"text":"((⇾⩊⇾(⫏≰1102221⨫⇇↔⫏≰10210122))≭(⇠(⫏≰2010210⪭≯⫏≰12021100)))∥⊢⊲(((⊑⫏≰2002000)⊋≦⊧⫏≰1121212⨜⨶⫏≰2000220)⫑)=⫏≰12110101","reverse_text":"⫏≰12110101=((⇾⩊⇾(⫏≰1102221⨫⇇↔⫏≰10210122))≭(⇠(⫏≰2010210⪭≯⫏≰12021100)))∥⊢⊲(((⊑⫏≰2002000)⊋≦⊧⫏≰1121212⨜⨶⫏≰2000220)⫑)","cot":[{"info":"⫏≰1102221⨫⇇↔⫏≰10210122=⫏≰-201112","layer":3},{"info":"⇾⩊⇾⫏≰-201112=⫏≰-2101120","layer":2},{"info":"⫏≰2010210⪭≯⫏≰12021100=NaN","layer":3},{"info":"⇠NaN=NaN","layer":2},{"info":"⫏≰-2101120≭NaN=NaN","layer":1},{"info":"⊑⫏≰2002000=⫏≰21010","layer":3},{"info":"⫏≰1121212⨜⨶⫏≰2000220=⫏≰-10201022","layer":3},{"info":"⫏≰21010⊋≦⊧⫏≰-10201022=⫏≰21202111","layer":2},{"info":"⫏≰21202111⫑=⫏≰12110101","layer":1},{"info":"NaN∥⊢⊲⫏≰12110101=⫏≰12110101","layer":0}]}
{"id":662,"expression_no_base_symbol":"↸⊣(($1369$⩦$5277$∛≔)⋓(⊀$7228$)⩦$6229$⊮⊟↴$3198$)","expression":"↸⊣((⫏≰1212201⩦⫏≰21020110∛≔)⋓(⊀⫏≰100220201)⩦⫏≰22112201⊮⊟↴⫏≰11101110)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16575,"operation_count":7,"complexity_ratio":2367.8571428571427,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1369,"base":3},"right_expr":{"type":"numeric_atoms","value":5277,"base":3}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":7228,"base":3}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6229,"base":3},"right_expr":{"type":"numeric_atoms","value":3198,"base":3}}}}},"used_operators":["wztAlM01eG","T2fj7uvVaJ","mGnSCrte3L","0kmYd0q39Y","oPMjh9089D","QDVgd2eftb"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1369","layer":4},{"info":"number node, value=5277","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=5277, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2738","layer":3},{"info":"compute unary expreesion, input=2738, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-1823148493","layer":2},{"info":"number node, value=7228","layer":4},{"info":"compute unary expreesion, input=7228, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=28650","layer":3},{"info":"number node, value=6229","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=6229, right_input=3198, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=28650, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=57300","layer":2},{"info":"compute binary expreesion, left_input=-1823148493, right_input=57300, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"↸⊣((⫏≰1212201⩦⫏≰21020110∛≔)⋓(⊀⫏≰100220201)⩦⫏≰22112201⊮⊟↴⫏≰11101110)=⫏≰0","reverse_text":"⫏≰0=↸⊣((⫏≰1212201⩦⫏≰21020110∛≔)⋓(⊀⫏≰100220201)⩦⫏≰22112201⊮⊟↴⫏≰11101110)","cot":[{"info":"⫏≰1212201⩦⫏≰21020110=⫏≰10202102","layer":3},{"info":"⫏≰10202102∛≔=⫏≰-11201001120112120021","layer":2},{"info":"⊀⫏≰100220201=⫏≰1110022010","layer":3},{"info":"⫏≰22112201⊮⊟↴⫏≰11101110=⫏≰0","layer":3},{"info":"⫏≰1110022010⩦⫏≰0=⫏≰2220121020","layer":2},{"info":"⫏≰-11201001120112120021⋓⫏≰2220121020=⫏≰0","layer":1},{"info":"↸⊣⫏≰0=⫏≰0","layer":0}]}
{"id":663,"expression_no_base_symbol":"($1097$⩍⋽⫝̸$4668$⋥≓≎(⨑⩽⪐$1145$))⊲⩕⊾(($1536$⪨≂$1047$)↼⊘⨖($3575$⪛$2897$))⋾⨃∁($2068$↼⊘⨖$1036$↡⊰⫅(↘$2869$)⪒($3202$⪇≇⋚$1206$)⫞⩸⩒($2971$∼$6846$))","expression":"(⫏≰1111122⩍⋽⫝̸⫏≰20101220⋥≓≎(⨑⩽⪐⫏≰1120102))⊲⩕⊾((⫏≰2002220⪨≂⫏≰1102210)↼⊘⨖(⫏≰11220102⪛⫏≰10222022))⋾⨃∁(⫏≰2211121↼⊘⨖⫏≰1102101↡⊰⫅(↘⫏≰10221021)⪒(⫏≰11101121⪇≇⋚⫏≰1122200)⫞⩸⩒(⫏≰11002001∼⫏≰100101120))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1941,"operation_count":15,"complexity_ratio":129.4,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1097,"base":3},"right_expr":{"type":"numeric_atoms","value":4668,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1145,"base":3}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1536,"base":3},"right_expr":{"type":"numeric_atoms","value":1047,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3575,"base":3},"right_expr":{"type":"numeric_atoms","value":2897,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2068,"base":3},"right_expr":{"type":"numeric_atoms","value":1036,"base":3}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2869,"base":3}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3202,"base":3},"right_expr":{"type":"numeric_atoms","value":1206,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2971,"base":3},"right_expr":{"type":"numeric_atoms","value":6846,"base":3}}}}},"used_operators":["212REbPD9h","DmTXOeWf9t","Qy55tPpLXF","BiWNJpBvwn","AF7qkfDlqP","bPywburJMS","sdazOOVcIp","uFcxV4UQCh","f6k1SAg4EE","VCtxkLNOzz","LdNpr8hQHL","XGcMNugi78","3sJ7IOPOlU","DyGG3AbaNP"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","uFcxV4UQCh","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"number node, value=4668","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=4668, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3722","layer":3},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-872","layer":3},{"info":"compute binary expreesion, left_input=3722, right_input=-872, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5433","layer":2},{"info":"number node, value=1536","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=1047, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1080","layer":3},{"info":"number node, value=3575","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=2897, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=678","layer":3},{"info":"compute binary expreesion, left_input=1080, right_input=678, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1134","layer":2},{"info":"compute binary expreesion, left_input=-5433, right_input=1134, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-11948","layer":1},{"info":"number node, value=2068","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=1036, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1850","layer":3},{"info":"number node, value=2869","layer":4},{"info":"compute unary expreesion, input=2869, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=125","layer":3},{"info":"compute binary expreesion, left_input=1850, right_input=125, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=250","layer":2},{"info":"number node, value=3202","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=1206, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2971","layer":4},{"info":"number node, value=6846","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=6846, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=250, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-250","layer":1},{"info":"compute binary expreesion, left_input=-11948, right_input=-250, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1111122⩍⋽⫝̸⫏≰20101220⋥≓≎(⨑⩽⪐⫏≰1120102))⊲⩕⊾((⫏≰2002220⪨≂⫏≰1102210)↼⊘⨖(⫏≰11220102⪛⫏≰10222022))⋾⨃∁(⫏≰2211121↼⊘⨖⫏≰1102101↡⊰⫅(↘⫏≰10221021)⪒(⫏≰11101121⪇≇⋚⫏≰1122200)⫞⩸⩒(⫏≰11002001∼⫏≰100101120))=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰1111122⩍⋽⫝̸⫏≰20101220⋥≓≎(⨑⩽⪐⫏≰1120102))⊲⩕⊾((⫏≰2002220⪨≂⫏≰1102210)↼⊘⨖(⫏≰11220102⪛⫏≰10222022))⋾⨃∁(⫏≰2211121↼⊘⨖⫏≰1102101↡⊰⫅(↘⫏≰10221021)⪒(⫏≰11101121⪇≇⋚⫏≰1122200)⫞⩸⩒(⫏≰11002001∼⫏≰100101120))","cot":[{"info":"⫏≰1111122⩍⋽⫝̸⫏≰20101220=⫏≰12002212","layer":3},{"info":"⨑⩽⪐⫏≰1120102=⫏≰-1012022","layer":3},{"info":"⫏≰12002212⋥≓≎⫏≰-1012022=⫏≰-21110020","layer":2},{"info":"⫏≰2002220⪨≂⫏≰1102210=⫏≰1111000","layer":3},{"info":"⫏≰11220102⪛⫏≰10222022=⫏≰221010","layer":3},{"info":"⫏≰1111000↼⊘⨖⫏≰221010=⫏≰1120000","layer":2},{"info":"⫏≰-21110020⊲⩕⊾⫏≰1120000=⫏≰-121101112","layer":1},{"info":"⫏≰2211121↼⊘⨖⫏≰1102101=⫏≰2112112","layer":3},{"info":"↘⫏≰10221021=⫏≰11122","layer":3},{"info":"⫏≰2112112↡⊰⫅⫏≰11122=⫏≰100021","layer":2},{"info":"⫏≰11101121⪇≇⋚⫏≰1122200=⫏≰0","layer":3},{"info":"⫏≰11002001∼⫏≰100101120=NaN","layer":3},{"info":"⫏≰0⫞⩸⩒NaN=⫏≰0","layer":2},{"info":"⫏≰100021⪒⫏≰0=⫏≰-100021","layer":1},{"info":"⫏≰-121101112⋾⨃∁⫏≰-100021=⫏≰12221","layer":0}]}
{"id":664,"expression_no_base_symbol":"((($4770$↼⊘⨖$2807$)⇍⊗(⫶⊄≣$4830$))⨲∙)⪨⊡($4473$⩖⊿$4769$⩒⫫(≇⪴$4844$))∴(($1571$⊭↱$3615$)∘(⨂⪏⇭$4822$))","expression":"(((⫏≰20112200↼⊘⨖⫏≰10211222)⇍⊗(⫶⊄≣⫏≰20121220))⨲∙)⪨⊡(⫏≰20010200⩖⊿⫏≰20112122⩒⫫(≇⪴⫏≰20122102))∴((⫏≰2011012⊭↱⫏≰11221220)∘(⨂⪏⇭⫏≰20121121))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5204,"operation_count":12,"complexity_ratio":433.6666666666667,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4770,"base":3},"right_expr":{"type":"numeric_atoms","value":2807,"base":3}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":4830,"base":3}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4473,"base":3},"right_expr":{"type":"numeric_atoms","value":4769,"base":3}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":4844,"base":3}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1571,"base":3},"right_expr":{"type":"numeric_atoms","value":3615,"base":3}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":4822,"base":3}}}}},"used_operators":["kuIXHzHcAH","cRahaglYVE","5uvYHDjeKN","bPywburJMS","wxb3vTeyAj","hrf7POJlIJ","KFSx94NKJn","RZ5CV9rWsJ","zoVPnxeHJ3","Z5m6OM72h2","COABgblf1C","AYdpE9sXAk"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4770","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=4770, right_input=2807, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5392","layer":3},{"info":"number node, value=4830","layer":4},{"info":"compute unary expreesion, input=4830, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=420003829","layer":3},{"info":"compute binary expreesion, left_input=5392, right_input=420003829, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"number node, value=4473","layer":4},{"info":"number node, value=4769","layer":4},{"info":"compute binary expreesion, left_input=4473, right_input=4769, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=20178","layer":3},{"info":"number node, value=4844","layer":4},{"info":"compute unary expreesion, input=4844, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-13192","layer":3},{"info":"compute binary expreesion, left_input=20178, right_input=-13192, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=19876","layer":2},{"info":"number node, value=1571","layer":4},{"info":"number node, value=3615","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=3615, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4093","layer":3},{"info":"number node, value=4822","layer":4},{"info":"compute unary expreesion, input=4822, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=13487","layer":3},{"info":"compute binary expreesion, left_input=4093, right_input=13487, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8186","layer":2},{"info":"compute binary expreesion, left_input=19876, right_input=8186, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=41400","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=41400, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰20112200↼⊘⨖⫏≰10211222)⇍⊗(⫶⊄≣⫏≰20121220))⨲∙)⪨⊡(⫏≰20010200⩖⊿⫏≰20112122⩒⫫(≇⪴⫏≰20122102))∴((⫏≰2011012⊭↱⫏≰11221220)∘(⨂⪏⇭⫏≰20121121))=NaN","reverse_text":"NaN=(((⫏≰20112200↼⊘⨖⫏≰10211222)⇍⊗(⫶⊄≣⫏≰20121220))⨲∙)⪨⊡(⫏≰20010200⩖⊿⫏≰20112122⩒⫫(≇⪴⫏≰20122102))∴((⫏≰2011012⊭↱⫏≰11221220)∘(⨂⪏⇭⫏≰20121121))","cot":[{"info":"⫏≰20112200↼⊘⨖⫏≰10211222=⫏≰21101201","layer":3},{"info":"⫶⊄≣⫏≰20121220=⫏≰1002021022101221101","layer":3},{"info":"⫏≰21101201⇍⊗⫏≰1002021022101221101=NaN","layer":2},{"info":"NaN⨲∙=NaN","layer":1},{"info":"⫏≰20010200⩖⊿⫏≰20112122=⫏≰1000200100","layer":3},{"info":"≇⪴⫏≰20122102=⫏≰-200002121","layer":3},{"info":"⫏≰1000200100⩒⫫⫏≰-200002121=⫏≰1000021011","layer":2},{"info":"⫏≰2011012⊭↱⫏≰11221220=⫏≰12121121","layer":3},{"info":"⨂⪏⇭⫏≰20121121=⫏≰200111112","layer":3},{"info":"⫏≰12121121∘⫏≰200111112=⫏≰102020012","layer":2},{"info":"⫏≰1000021011∴⫏≰102020012=⫏≰2002210100","layer":1},{"info":"NaN⪨⊡⫏≰2002210100=NaN","layer":0}]}
{"id":665,"expression_no_base_symbol":"($1396$⨓$1067$)⫘$2792$⨔⇊$1426$≳⇉($1227$⋥⋵⩄$5300$∕⩚$2914$≥⨤⩑$4330$)⫌⩹⨱","expression":"(⫏≰1220201⨓⫏≰1110112)⫘⫏≰10211102⨔⇊⫏≰1221211≳⇉(⫏≰1200110⋥⋵⩄⫏≰21021022∕⩚⫏≰10222221≥⨤⩑⫏≰12221101)⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":140840,"operation_count":8,"complexity_ratio":17605.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1396,"base":3},"right_expr":{"type":"numeric_atoms","value":1067,"base":3}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2792,"base":3},"right_expr":{"type":"numeric_atoms","value":1426,"base":3}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1227,"base":3},"right_expr":{"type":"numeric_atoms","value":5300,"base":3}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2914,"base":3},"right_expr":{"type":"numeric_atoms","value":4330,"base":3}}}}},"used_operators":["EBcxylXtPf","V0kx6qeWkN","48vC8HMD2b","3ViojmjbAp","JclMnS0uGI","z9ffQ9n5Zr","7t3wd0Fuz7","gJLn6v0xnP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1396","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=1067, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1070","layer":3},{"info":"number node, value=2792","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=1426, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1426","layer":3},{"info":"compute binary expreesion, left_input=-1070, right_input=1426, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4708439","layer":2},{"info":"number node, value=1227","layer":4},{"info":"number node, value=5300","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=5300, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=4330","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=4330, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1234, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=4708439, right_input=-116, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1220201⨓⫏≰1110112)⫘⫏≰10211102⨔⇊⫏≰1221211≳⇉(⫏≰1200110⋥⋵⩄⫏≰21021022∕⩚⫏≰10222221≥⨤⩑⫏≰12221101)⫌⩹⨱=NaN","reverse_text":"NaN=(⫏≰1220201⨓⫏≰1110112)⫘⫏≰10211102⨔⇊⫏≰1221211≳⇉(⫏≰1200110⋥⋵⩄⫏≰21021022∕⩚⫏≰10222221≥⨤⩑⫏≰12221101)⫌⩹⨱","cot":[{"info":"⫏≰1220201⨓⫏≰1110112=⫏≰-1110122","layer":3},{"info":"⫏≰10211102⨔⇊⫏≰1221211=⫏≰1221211","layer":3},{"info":"⫏≰-1110122⫘⫏≰1221211=⫏≰22212012202122","layer":2},{"info":"⫏≰1200110⋥⋵⩄⫏≰21021022=⫏≰11012","layer":3},{"info":"⫏≰10222221≥⨤⩑⫏≰12221101=⫏≰1200201","layer":3},{"info":"⫏≰11012∕⩚⫏≰1200201=⫏≰-11022","layer":2},{"info":"⫏≰22212012202122≳⇉⫏≰-11022=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(($1161$⪡$2181$)⩌⋺($2329$⊔$3671$))⇂≾⫗(∷≠($2446$⊨$1710$))⇍⊗(($1690$∷$2917$)⩁⩘$1521$⇤$5905$⫃⨇$3088$⨑⩅≇$4457$⩇∃⫛$1237$⪮%⊝$6253$)","expression":"((⫏≰1121000⪡⫏≰2222210)⩌⋺(⫏≰10012021⊔⫏≰12000222))⇂≾⫗(∷≠(⫏≰10100121⊨⫏≰2100100))⇍⊗((⫏≰2022121∷⫏≰11000001)⩁⩘⫏≰2002100⇤⫏≰22002201⫃⨇⫏≰11020101⨑⩅≇⫏≰20010002⩇∃⫛⫏≰1200211⪮%⊝⫏≰22120121)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4729,"operation_count":14,"complexity_ratio":337.7857142857143,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1161,"base":3},"right_expr":{"type":"numeric_atoms","value":2181,"base":3}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2329,"base":3},"right_expr":{"type":"numeric_atoms","value":3671,"base":3}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2446,"base":3},"right_expr":{"type":"numeric_atoms","value":1710,"base":3}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1690,"base":3},"right_expr":{"type":"numeric_atoms","value":2917,"base":3}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1521,"base":3},"right_expr":{"type":"numeric_atoms","value":5905,"base":3}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3088,"base":3},"right_expr":{"type":"numeric_atoms","value":4457,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1237,"base":3},"right_expr":{"type":"numeric_atoms","value":6253,"base":3}}}}},"used_operators":["5uvYHDjeKN","aBQ6xLxuTc","g7Hmc5v1ko","oraRL2iQuh","E4l6HwMY31","QiR2Oyf5Xj","vg4gO5BX6G","09Ly4LVMIf","gub5Cegaqo","D3AQDKkPcf","YSKBFp38Pu","1aApVXNlOP","h92wMvzauj","IWmyXbctLI"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","7j4O788W3g","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫏≰-100001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=2181, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2329","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=2329, right_input=3671, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=20613","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=20613, 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=-20841","layer":2},{"info":"number node, value=2446","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=1710, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=10815","layer":3},{"info":"compute unary expreesion, input=10815, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=10815","layer":2},{"info":"compute binary expreesion, left_input=-20841, right_input=10815, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-664","layer":1},{"info":"number node, value=1690","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=2917, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2917","layer":3},{"info":"number node, value=1521","layer":4},{"info":"number node, value=5905","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=5905, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-34282","layer":3},{"info":"compute binary expreesion, left_input=2917, right_input=-34282, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-136180","layer":2},{"info":"number node, value=3088","layer":4},{"info":"number node, value=4457","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=4457, 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=-9264","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=6253","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=6253, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2790","layer":3},{"info":"compute binary expreesion, left_input=-9264, right_input=2790, 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=-9264","layer":2},{"info":"compute binary expreesion, left_input=-136180, right_input=-9264, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=37024","layer":1},{"info":"compute binary expreesion, left_input=-664, right_input=37024, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1121000⪡⫏≰2222210)⩌⋺(⫏≰10012021⊔⫏≰12000222))⇂≾⫗(∷≠(⫏≰10100121⊨⫏≰2100100))⇍⊗((⫏≰2022121∷⫏≰11000001)⩁⩘⫏≰2002100⇤⫏≰22002201⫃⨇⫏≰11020101⨑⩅≇⫏≰20010002⩇∃⫛⫏≰1200211⪮%⊝⫏≰22120121)=⫏≰-100001","reverse_text":"⫏≰-100001=((⫏≰1121000⪡⫏≰2222210)⩌⋺(⫏≰10012021⊔⫏≰12000222))⇂≾⫗(∷≠(⫏≰10100121⊨⫏≰2100100))⇍⊗((⫏≰2022121∷⫏≰11000001)⩁⩘⫏≰2002100⇤⫏≰22002201⫃⨇⫏≰11020101⨑⩅≇⫏≰20010002⩇∃⫛⫏≰1200211⪮%⊝⫏≰22120121)","cot":[{"info":"⫏≰1121000⪡⫏≰2222210=⫏≰10222","layer":3},{"info":"⫏≰10012021⊔⫏≰12000222=⫏≰1001021110","layer":3},{"info":"⫏≰10222⩌⋺⫏≰1001021110=⫏≰-1001120220","layer":2},{"info":"⫏≰10100121⊨⫏≰2100100=⫏≰112211120","layer":3},{"info":"∷≠⫏≰112211120=⫏≰112211120","layer":2},{"info":"⫏≰-1001120220⇂≾⫗⫏≰112211120=⫏≰-220121","layer":1},{"info":"⫏≰2022121∷⫏≰11000001=⫏≰11000001","layer":3},{"info":"⫏≰2002100⇤⫏≰22002201=⫏≰-1202000201","layer":3},{"info":"⫏≰11000001⩁⩘⫏≰-1202000201=⫏≰-20220210201","layer":2},{"info":"⫏≰11020101⨑⩅≇⫏≰20010002=⫏≰-110201010","layer":3},{"info":"⫏≰1200211⪮%⊝⫏≰22120121=⫏≰10211100","layer":3},{"info":"⫏≰-110201010⩇∃⫛⫏≰10211100=⫏≰-110201010","layer":2},{"info":"⫏≰-20220210201⫃⨇⫏≰-110201010=⫏≰1212210021","layer":1},{"info":"⫏≰-220121⇍⊗⫏≰1212210021=⫏≰-100001","layer":0}]}
{"id":667,"expression_no_base_symbol":"($9875$⪒$5293$)⩦(∡$1095$)∣(∤$1315$≒∊$2162$)⪛⫼(⇁⨣⪵$1562$∳⫺$5026$)∌↝(($1344$⪊≅)⨎(∷≠$1579$))","expression":"(⫏≰111112202⪒⫏≰21021001)⩦(∡⫏≰1111120)∣(∤⫏≰1210201≒∊⫏≰2222002)⪛⫼(⇁⨣⪵⫏≰2010212∳⫺⫏≰20220011)∌↝((⫏≰1211210⪊≅)⨎(∷≠⫏≰2011111))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3106,"operation_count":13,"complexity_ratio":238.92307692307693,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":9875,"base":3},"right_expr":{"type":"numeric_atoms","value":5293,"base":3}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1095,"base":3}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1315,"base":3},"right_expr":{"type":"numeric_atoms","value":2162,"base":3}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1562,"base":3},"right_expr":{"type":"numeric_atoms","value":5026,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1344,"base":3}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1579,"base":3}}}}},"used_operators":["hyuBjUqXlG","PPChnnnBFF","0kmYd0q39Y","f6k1SAg4EE","pRsWfj4Fpp","k2HlF1dBQh","5KTvxBwnZo","9Isq31Ruls","inkyxCbjAn","AzXXKTstlj","rJVOvQCfKK","bjFbhXSADs","QiR2Oyf5Xj"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=9875","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=9875, right_input=5293, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-15168","layer":3},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1095","layer":3},{"info":"compute binary expreesion, left_input=-15168, right_input=-1095, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-148263","layer":2},{"info":"number node, value=1315","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=2162, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-831","layer":3},{"info":"compute unary expreesion, input=-831, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-148263, right_input=9, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=148747","layer":1},{"info":"number node, value=1562","layer":4},{"info":"number node, value=5026","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=5026, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-3742","layer":3},{"info":"compute unary expreesion, input=-3742, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1344","layer":4},{"info":"compute unary expreesion, input=1344, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1579","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1579, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1579","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1579, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=148747, 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":3,"result_base":3,"text":"(⫏≰111112202⪒⫏≰21021001)⩦(∡⫏≰1111120)∣(∤⫏≰1210201≒∊⫏≰2222002)⪛⫼(⇁⨣⪵⫏≰2010212∳⫺⫏≰20220011)∌↝((⫏≰1211210⪊≅)⨎(∷≠⫏≰2011111))=NaN","reverse_text":"NaN=(⫏≰111112202⪒⫏≰21021001)⩦(∡⫏≰1111120)∣(∤⫏≰1210201≒∊⫏≰2222002)⪛⫼(⇁⨣⪵⫏≰2010212∳⫺⫏≰20220011)∌↝((⫏≰1211210⪊≅)⨎(∷≠⫏≰2011111))","cot":[{"info":"⫏≰111112202⪒⫏≰21021001=⫏≰-202210210","layer":3},{"info":"∡⫏≰1111120=⫏≰-1111120","layer":3},{"info":"⫏≰-202210210⩦⫏≰-1111120=⫏≰-21112101020","layer":2},{"info":"⫏≰1210201≒∊⫏≰2222002=⫏≰-1010210","layer":3},{"info":"∤⫏≰-1010210=⫏≰100","layer":2},{"info":"⫏≰-21112101020∣⫏≰100=⫏≰21120001011","layer":1},{"info":"⫏≰2010212∳⫺⫏≰20220011=⫏≰-12010121","layer":3},{"info":"⇁⨣⪵⫏≰-12010121=NaN","layer":2},{"info":"⫏≰1211210⪊≅=⫏≰0","layer":3},{"info":"∷≠⫏≰2011111=⫏≰2011111","layer":3},{"info":"⫏≰0⨎⫏≰2011111=⫏≰2011111","layer":2},{"info":"NaN∌↝⫏≰2011111=NaN","layer":1},{"info":"⫏≰21120001011⪛⫼NaN=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"⩩($1648$⩖⊿$2907$∼$1065$⩁⩘$1195$⪨≂($1673$⇮⋭$6531$)⊢($5528$∖$3267$))","expression":"⩩(⫏≰2021001⩖⊿⫏≰10222200∼⫏≰1110110⩁⩘⫏≰1122021⪨≂(⫏≰2021222⇮⋭⫏≰22221220)⊢(⫏≰21120202∖⫏≰11111000))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1832,"operation_count":8,"complexity_ratio":229.0,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1648,"base":3},"right_expr":{"type":"numeric_atoms","value":2907,"base":3}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1065,"base":3},"right_expr":{"type":"numeric_atoms","value":1195,"base":3}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1673,"base":3},"right_expr":{"type":"numeric_atoms","value":6531,"base":3}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5528,"base":3},"right_expr":{"type":"numeric_atoms","value":3267,"base":3}}}}},"used_operators":["kMhfGuqI2H","sdazOOVcIp","DyGG3AbaNP","RZ5CV9rWsJ","gub5Cegaqo","5twsqlHp2o","vkpjKywKVM","tXD093vOjl"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DpFCA1CohY","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=2907, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=16582","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1195, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5728","layer":3},{"info":"compute binary expreesion, left_input=16582, right_input=5728, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1673","layer":4},{"info":"number node, value=6531","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=6531, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=5528","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=5528, right_input=3267, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=702","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=702, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⩩(⫏≰2021001⩖⊿⫏≰10222200∼⫏≰1110110⩁⩘⫏≰1122021⪨≂(⫏≰2021222⇮⋭⫏≰22221220)⊢(⫏≰21120202∖⫏≰11111000))=NaN","reverse_text":"NaN=⩩(⫏≰2021001⩖⊿⫏≰10222200∼⫏≰1110110⩁⩘⫏≰1122021⪨≂(⫏≰2021222⇮⋭⫏≰22221220)⊢(⫏≰21120202∖⫏≰11111000))","cot":[{"info":"⫏≰2021001⩖⊿⫏≰10222200=⫏≰211202011","layer":3},{"info":"⫏≰1110110⩁⩘⫏≰1122021=⫏≰21212011","layer":3},{"info":"⫏≰211202011∼⫏≰21212011=NaN","layer":2},{"info":"⫏≰2021222⇮⋭⫏≰22221220=⫏≰-122112","layer":3},{"info":"⫏≰21120202∖⫏≰11111000=⫏≰0","layer":3},{"info":"⫏≰-122112⊢⫏≰0=⫏≰222000","layer":2},{"info":"NaN⪨≂⫏≰222000=NaN","layer":1},{"info":"⩩NaN=NaN","layer":0}]}
{"id":669,"expression_no_base_symbol":"(((↯⪼$1625$)⊹∫⫚$4606$⨸$1681$)⨲∙)→⨶⪴((⨈⪑$4786$⫣⪄⊒$1178$)⩢≌)","expression":"(((↯⪼⫏≰2020012)⊹∫⫚⫏≰20022121⨸⫏≰2022021)⨲∙)→⨶⪴((⨈⪑⫏≰20120021⫣⪄⊒⫏≰1121122)⩢≌)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10494,"operation_count":8,"complexity_ratio":1311.75,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1625,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4606,"base":3},"right_expr":{"type":"numeric_atoms","value":1681,"base":3}}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4786,"base":3},"right_expr":{"type":"numeric_atoms","value":1178,"base":3}}}}},"used_operators":["bF6eod5Gvf","cRahaglYVE","uWAJUKEvyW","8jW3W4yZS5","KmoU8R5UQR","D617RFjZIq","mp94q5OcYM","RabNbG55vr"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","hTbEZDJLEm","o20kRiQErp","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⫏≰-110120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":4},{"info":"compute unary expreesion, input=1625, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=4606","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=4606, right_input=1681, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9212","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=9212, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-376","layer":2},{"info":"compute unary expreesion, input=-376, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"number node, value=4786","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=4786, right_input=1178, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5904","layer":3},{"info":"compute unary expreesion, input=-5904, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-339","layer":0}],"base":3,"result_base":3,"text":"(((↯⪼⫏≰2020012)⊹∫⫚⫏≰20022121⨸⫏≰2022021)⨲∙)→⨶⪴((⨈⪑⫏≰20120021⫣⪄⊒⫏≰1121122)⩢≌)=⫏≰-110120","reverse_text":"⫏≰-110120=(((↯⪼⫏≰2020012)⊹∫⫚⫏≰20022121⨸⫏≰2022021)⨲∙)→⨶⪴((⨈⪑⫏≰20120021⫣⪄⊒⫏≰1121122)⩢≌)","cot":[{"info":"↯⪼⫏≰2020012=⫏≰-210","layer":3},{"info":"⫏≰20022121⨸⫏≰2022021=⫏≰110122012","layer":3},{"info":"⫏≰-210⊹∫⫚⫏≰110122012=⫏≰-111221","layer":2},{"info":"⫏≰-111221⨲∙=NaN","layer":1},{"info":"⫏≰20120021⫣⪄⊒⫏≰1121122=⫏≰-22002200","layer":3},{"info":"⨈⪑⫏≰-22002200=⫏≰1012011","layer":2},{"info":"⫏≰1012011⩢≌=⫏≰11012","layer":1},{"info":"NaN→⨶⪴⫏≰11012=⫏≰-110120","layer":0}]}
{"id":670,"expression_no_base_symbol":"((⊬↢($1534$⫿))⩺⋐⫨)⪟⇏(($1656$%$2205$)⫢⨠($1000$∙∹∝$1035$)⫸⊐(∥⊫$3219$≀⫉$4658$))","expression":"((⊬↢(⫏≰2002211⫿))⩺⋐⫨)⪟⇏((⫏≰2021100%⫏≰10000200)⫢⨠(⫏≰1101001∙∹∝⫏≰1102100)⫸⊐(∥⊫⫏≰11102020≀⫉⫏≰20101112))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2151,"operation_count":10,"complexity_ratio":215.1,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1534,"base":3}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1656,"base":3},"right_expr":{"type":"numeric_atoms","value":2205,"base":3}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1000,"base":3},"right_expr":{"type":"numeric_atoms","value":1035,"base":3}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3219,"base":3},"right_expr":{"type":"numeric_atoms","value":4658,"base":3}}}}},"used_operators":["GODebY97qR","yS9ePUuUdn","WPoGxAaPR1","9tKT6PmtkH","mqXw5SEYmG","xlXykHWxX1","k8jYdgA6NY","HmxsFra2vL","P8v4zCKN1o","oZj3VtZNQx"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1534","layer":4},{"info":"compute unary expreesion, input=1534, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1534","layer":3},{"info":"compute unary expreesion, input=1534, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"number node, value=1656","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=2205, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1656","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1035, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1656, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=3219","layer":4},{"info":"number node, value=4658","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=4658, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3690","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3690, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, 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":3,"result_base":3,"text":"((⊬↢(⫏≰2002211⫿))⩺⋐⫨)⪟⇏((⫏≰2021100%⫏≰10000200)⫢⨠(⫏≰1101001∙∹∝⫏≰1102100)⫸⊐(∥⊫⫏≰11102020≀⫉⫏≰20101112))=⫏≰0","reverse_text":"⫏≰0=((⊬↢(⫏≰2002211⫿))⩺⋐⫨)⪟⇏((⫏≰2021100%⫏≰10000200)⫢⨠(⫏≰1101001∙∹∝⫏≰1102100)⫸⊐(∥⊫⫏≰11102020≀⫉⫏≰20101112))","cot":[{"info":"⫏≰2002211⫿=⫏≰2002211","layer":3},{"info":"⊬↢⫏≰2002211=⫏≰22002","layer":2},{"info":"⫏≰22002⩺⋐⫨=⫏≰0","layer":1},{"info":"⫏≰2021100%⫏≰10000200=⫏≰2021100","layer":3},{"info":"⫏≰1101001∙∹∝⫏≰1102100=⫏≰0","layer":3},{"info":"⫏≰2021100⫢⨠⫏≰0=NaN","layer":2},{"info":"⫏≰11102020≀⫉⫏≰20101112=⫏≰10212112","layer":3},{"info":"∥⊫⫏≰10212112=⫏≰12001200","layer":2},{"info":"NaN⫸⊐⫏≰12001200=NaN","layer":1},{"info":"⫏≰0⪟⇏NaN=⫏≰0","layer":0}]}
{"id":671,"expression_no_base_symbol":"⊿(((⩎⋉$1744$)⨘⋶⪀)≣⋋)","expression":"⊿(((⩎⋉⫏≰2101121)⨘⋶⪀)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":184,"operation_count":4,"complexity_ratio":46.0,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1744,"base":3}}}}},"used_operators":["DO4fhlbJSI","Tcnh7f0tEr","XVKwrhznBb","FlXk3pOYe8"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1744","layer":4},{"info":"compute unary expreesion, input=1744, 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":3},{"info":"compute unary expreesion, input=1650, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊿(((⩎⋉⫏≰2101121)⨘⋶⪀)≣⋋)=NaN","reverse_text":"NaN=⊿(((⩎⋉⫏≰2101121)⨘⋶⪀)≣⋋)","cot":[{"info":"⩎⋉⫏≰2101121=⫏≰2021010","layer":3},{"info":"⫏≰2021010⨘⋶⪀=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"⊿NaN=NaN","layer":0}]}
{"id":672,"expression_no_base_symbol":"⇖⫷⫕((⫛⫱⨽($3697$⋓$4475$))⨭⪣(⇉-⫰$1276$⋛$2449$))","expression":"⇖⫷⫕((⫛⫱⨽(⫏≰12001221⋓⫏≰20010202))⨭⪣(⇉-⫰⫏≰1202021⋛⫏≰10100201))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1948,"operation_count":6,"complexity_ratio":324.6666666666667,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3697,"base":3},"right_expr":{"type":"numeric_atoms","value":4475,"base":3}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1276,"base":3},"right_expr":{"type":"numeric_atoms","value":2449,"base":3}}}}},"used_operators":["UHmRx3INFg","kn8WO9XteQ","DlLNRPXxWL","T2fj7uvVaJ","IGFM8TAlm9","YbUVn0Rbpy"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eH2TOUuTDT","eewbuw0ToL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⫏≰10212112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3697","layer":4},{"info":"number node, value=4475","layer":4},{"info":"compute binary expreesion, left_input=3697, right_input=4475, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1276","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=2449, 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=-120708","layer":3},{"info":"compute unary expreesion, input=-120708, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":1},{"info":"compute unary expreesion, input=-322, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":3,"result_base":3,"text":"⇖⫷⫕((⫛⫱⨽(⫏≰12001221⋓⫏≰20010202))⨭⪣(⇉-⫰⫏≰1202021⋛⫏≰10100201))=⫏≰10212112","reverse_text":"⫏≰10212112=⇖⫷⫕((⫛⫱⨽(⫏≰12001221⋓⫏≰20010202))⨭⪣(⇉-⫰⫏≰1202021⋛⫏≰10100201))","cot":[{"info":"⫏≰12001221⋓⫏≰20010202=⫏≰0","layer":3},{"info":"⫛⫱⨽⫏≰0=⫏≰0","layer":2},{"info":"⫏≰1202021⋛⫏≰10100201=⫏≰-20010120200","layer":3},{"info":"⇉-⫰⫏≰-20010120200=⫏≰202","layer":2},{"info":"⫏≰0⨭⪣⫏≰202=⫏≰-102221","layer":1},{"info":"⇖⫷⫕⫏≰-102221=⫏≰10212112","layer":0}]}
{"id":673,"expression_no_base_symbol":"($1257$⋳⪒$3739$⫦⪉$4338$⩷∴$2307$)⩼⇪↪(⪛⨧(↣≠⋷$5575$))∼(($3026$≦↸$1313$)⪝(≘$5834$)⨹)","expression":"(⫏≰1201120⋳⪒⫏≰12010111⫦⪉⫏≰12221200⩷∴⫏≰10011110)⩼⇪↪(⪛⨧(↣≠⋷⫏≰21122111))∼((⫏≰11011002≦↸⫏≰1210122)⪝(≘⫏≰22000002)⨹)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5819,"operation_count":11,"complexity_ratio":529.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1257,"base":3},"right_expr":{"type":"numeric_atoms","value":3739,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4338,"base":3},"right_expr":{"type":"numeric_atoms","value":2307,"base":3}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5575,"base":3}}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3026,"base":3},"right_expr":{"type":"numeric_atoms","value":1313,"base":3}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":5834,"base":3}}}}},"used_operators":["DyGG3AbaNP","ocnLzx9CaJ","wscyQdcy20","12rbrZMWeM","9FxExcQeMw","6NJAcO2OWT","Asc51vEJeQ","UnCoSGIALn","wicAB68Tmb","RygbFNSyEJ","tcjXMdvYtA"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","mp7IySMOzn","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1257","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=3739, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1512","layer":3},{"info":"number node, value=4338","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=4338, right_input=2307, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4030","layer":3},{"info":"compute binary expreesion, left_input=-1512, right_input=4030, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=6862","layer":2},{"info":"number node, value=5575","layer":4},{"info":"compute unary expreesion, input=5575, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6862, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=3026","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=1313, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7997","layer":3},{"info":"number node, value=5834","layer":4},{"info":"compute unary expreesion, input=5834, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=12864754","layer":3},{"info":"compute binary expreesion, left_input=-7997, right_input=12864754, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":2},{"info":"compute unary expreesion, input=236, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=472","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=472, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1201120⋳⪒⫏≰12010111⫦⪉⫏≰12221200⩷∴⫏≰10011110)⩼⇪↪(⪛⨧(↣≠⋷⫏≰21122111))∼((⫏≰11011002≦↸⫏≰1210122)⪝(≘⫏≰22000002)⨹)=⫏≰0","reverse_text":"⫏≰0=(⫏≰1201120⋳⪒⫏≰12010111⫦⪉⫏≰12221200⩷∴⫏≰10011110)⩼⇪↪(⪛⨧(↣≠⋷⫏≰21122111))∼((⫏≰11011002≦↸⫏≰1210122)⪝(≘⫏≰22000002)⨹)","cot":[{"info":"⫏≰1201120⋳⪒⫏≰12010111=⫏≰-2002000","layer":3},{"info":"⫏≰12221200⩷∴⫏≰10011110=⫏≰12112021","layer":3},{"info":"⫏≰-2002000⫦⪉⫏≰12112021=⫏≰100102011","layer":2},{"info":"↣≠⋷⫏≰21122111=NaN","layer":3},{"info":"⪛⨧NaN=NaN","layer":2},{"info":"⫏≰100102011⩼⇪↪NaN=NaN","layer":1},{"info":"⫏≰11011002≦↸⫏≰1210122=⫏≰-101222012","layer":3},{"info":"≘⫏≰22000002=⫏≰220012121010101","layer":3},{"info":"⫏≰-101222012⪝⫏≰220012121010101=⫏≰22202","layer":2},{"info":"⫏≰22202⨹=⫏≰122111","layer":1},{"info":"NaN∼⫏≰122111=⫏≰0","layer":0}]}
{"id":674,"expression_no_base_symbol":"(($5200$⇮⋭$2376$)⪪($4071$≃$2371$))⨚((⨛$1995$)≓∲$3377$⇴$2641$)⇣⩺⋵((⇉-⫰$1966$)→⨶⪴($1880$⫚↹⊑$3241$))⫘($1178$⇼⇔∾$2674$⪁($3407$⊘))","expression":"((⫏≰21010121⇮⋭⫏≰10021000)⪪(⫏≰12120210≃⫏≰10020211))⨚((⨛⫏≰2201220)≓∲⫏≰11122002⇴⫏≰10121211)⇣⩺⋵((⇉-⫰⫏≰2200211)→⨶⪴(⫏≰2120122⫚↹⊑⫏≰11110001))⫘(⫏≰1121122⇼⇔∾⫏≰10200001⪁(⫏≰11200012⊘))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":295879,"operation_count":15,"complexity_ratio":19725.266666666666,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5200,"base":3},"right_expr":{"type":"numeric_atoms","value":2376,"base":3}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4071,"base":3},"right_expr":{"type":"numeric_atoms","value":2371,"base":3}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1995,"base":3}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3377,"base":3},"right_expr":{"type":"numeric_atoms","value":2641,"base":3}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1966,"base":3}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1880,"base":3},"right_expr":{"type":"numeric_atoms","value":3241,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1178,"base":3},"right_expr":{"type":"numeric_atoms","value":2674,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3407,"base":3}}}}},"used_operators":["F4yD0voBRQ","nREPSIbpBE","xD69zh8xqp","vkpjKywKVM","YbVcJGFEVW","s1XTVnmDOJ","CoMdbyAt7R","4JB6nKBMSY","48vC8HMD2b","bF6eod5Gvf","IGFM8TAlm9","dfKe02y8D2","I7sXao9hZE","tifHPKVTfV","gu96TGCTMs"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","BjRHVeLaeN","12rbrZMWeM","FU0Cs4j7VP","JclMnS0uGI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","sdazOOVcIp","NTOWxs364D","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","8w2t5hMYqp","9FxExcQeMw","eH2TOUuTDT","eewbuw0ToL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫏≰-100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5200","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=5200, right_input=2376, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=4071","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=4071, right_input=2371, 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=-16324","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-16324, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-13714222","layer":2},{"info":"number node, value=1995","layer":4},{"info":"compute unary expreesion, input=1995, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=3377","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=3377, right_input=2641, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=25158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=25158, 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":2},{"info":"compute binary expreesion, left_input=-13714222, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=1966","layer":4},{"info":"compute unary expreesion, input=1966, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=1880","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=3241, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-447, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=902","layer":2},{"info":"number node, value=1178","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=2674, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1496","layer":3},{"info":"number node, value=3407","layer":4},{"info":"compute unary expreesion, input=3407, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1496, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=902, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1065157","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1065157, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21010121⇮⋭⫏≰10021000)⪪(⫏≰12120210≃⫏≰10020211))⨚((⨛⫏≰2201220)≓∲⫏≰11122002⇴⫏≰10121211)⇣⩺⋵((⇉-⫰⫏≰2200211)→⨶⪴(⫏≰2120122⫚↹⊑⫏≰11110001))⫘(⫏≰1121122⇼⇔∾⫏≰10200001⪁(⫏≰11200012⊘))=⫏≰-100122","reverse_text":"⫏≰-100122=((⫏≰21010121⇮⋭⫏≰10021000)⪪(⫏≰12120210≃⫏≰10020211))⨚((⨛⫏≰2201220)≓∲⫏≰11122002⇴⫏≰10121211)⇣⩺⋵((⇉-⫰⫏≰2200211)→⨶⪴(⫏≰2120122⫚↹⊑⫏≰11110001))⫘(⫏≰1121122⇼⇔∾⫏≰10200001⪁(⫏≰11200012⊘))","cot":[{"info":"⫏≰21010121⇮⋭⫏≰10021000=⫏≰-122112","layer":3},{"info":"⫏≰12120210≃⫏≰10020211=⫏≰-211101121","layer":3},{"info":"⫏≰-122112⪪⫏≰-211101121=⫏≰-221210202101011","layer":2},{"info":"⨛⫏≰2201220=NaN","layer":3},{"info":"⫏≰11122002⇴⫏≰10121211=⫏≰1021111210","layer":3},{"info":"NaN≓∲⫏≰1021111210=NaN","layer":2},{"info":"⫏≰-221210202101011⨚NaN=NaN","layer":1},{"info":"⇉-⫰⫏≰2200211=⫏≰202","layer":3},{"info":"⫏≰2120122⫚↹⊑⫏≰11110001=⫏≰-121120","layer":3},{"info":"⫏≰202→⨶⪴⫏≰-121120=⫏≰1020102","layer":2},{"info":"⫏≰1121122⇼⇔∾⫏≰10200001=⫏≰2001102","layer":3},{"info":"⫏≰11200012⊘=⫏≰0","layer":3},{"info":"⫏≰2001102⪁⫏≰0=NaN","layer":2},{"info":"⫏≰1020102⫘NaN=⫏≰2000010010021","layer":1},{"info":"NaN⇣⩺⋵⫏≰2000010010021=⫏≰-100122","layer":0}]}
{"id":675,"expression_no_base_symbol":"($1803$⪶≀⋏$4360$∑⇟⊟($5231$⩷∴$1685$))⇍⊗($3634$≓∲$2945$↸$2884$⪍↜⋙$2639$)⨚⇆(($4293$⪭≯$2660$)⋕⪉⪜(⊆⋠$1610$)⩷∴($1237$⨌↪)⪃⊛⇣($3369$∺≝⩲$2498$))","expression":"(⫏≰2110210⪶≀⋏⫏≰12222111∑⇟⊟(⫏≰21011202⩷∴⫏≰2022102))⇍⊗(⫏≰11222121≓∲⫏≰11001002↸⫏≰10221211⪍↜⋙⫏≰10121202)⨚⇆((⫏≰12220000⪭≯⫏≰10122112)⋕⪉⪜(⊆⋠⫏≰2012122)⩷∴(⫏≰1200211⨌↪)⪃⊛⇣(⫏≰11121210∺≝⩲⫏≰10102112))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":233598,"operation_count":15,"complexity_ratio":15573.2,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1803,"base":3},"right_expr":{"type":"numeric_atoms","value":4360,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5231,"base":3},"right_expr":{"type":"numeric_atoms","value":1685,"base":3}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3634,"base":3},"right_expr":{"type":"numeric_atoms","value":2945,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2884,"base":3},"right_expr":{"type":"numeric_atoms","value":2639,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4293,"base":3},"right_expr":{"type":"numeric_atoms","value":2660,"base":3}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1610,"base":3}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":1237,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3369,"base":3},"right_expr":{"type":"numeric_atoms","value":2498,"base":3}}}}},"used_operators":["lwHaAYXP2r","5uvYHDjeKN","U7g4x0WXJJ","zR4jO40bMj","9FxExcQeMw","1eCjFl0mb9","s1XTVnmDOJ","L05ObWFQCd","z6LnFrNh4i","XAx5wpdLa6","EBhcHTkKd8","rrgAzCduG9","cWQsF5MvuD","KPf6cnQVty"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1803","layer":4},{"info":"number node, value=4360","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=4360, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14361","layer":3},{"info":"number node, value=5231","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=5231, right_input=1685, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7060","layer":3},{"info":"compute binary expreesion, left_input=-14361, right_input=7060, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3634","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=3634, right_input=2945, 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=37123","layer":3},{"info":"number node, value=2884","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=2639, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=490","layer":3},{"info":"compute binary expreesion, left_input=37123, right_input=490, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=37123","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=37123, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=4293","layer":4},{"info":"number node, value=2660","layer":4},{"info":"compute binary expreesion, left_input=4293, right_input=2660, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1610","layer":4},{"info":"compute unary expreesion, input=1610, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=3369","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=3369, right_input=2498, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=160, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=1234, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2092","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-2092, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2110210⪶≀⋏⫏≰12222111∑⇟⊟(⫏≰21011202⩷∴⫏≰2022102))⇍⊗(⫏≰11222121≓∲⫏≰11001002↸⫏≰10221211⪍↜⋙⫏≰10121202)⨚⇆((⫏≰12220000⪭≯⫏≰10122112)⋕⪉⪜(⊆⋠⫏≰2012122)⩷∴(⫏≰1200211⨌↪)⪃⊛⇣(⫏≰11121210∺≝⩲⫏≰10102112))=NaN","reverse_text":"NaN=(⫏≰2110210⪶≀⋏⫏≰12222111∑⇟⊟(⫏≰21011202⩷∴⫏≰2022102))⇍⊗(⫏≰11222121≓∲⫏≰11001002↸⫏≰10221211⪍↜⋙⫏≰10121202)⨚⇆((⫏≰12220000⪭≯⫏≰10122112)⋕⪉⪜(⊆⋠⫏≰2012122)⩷∴(⫏≰1200211⨌↪)⪃⊛⇣(⫏≰11121210∺≝⩲⫏≰10102112))","cot":[{"info":"⫏≰2110210⪶≀⋏⫏≰12222111=⫏≰-201200220","layer":3},{"info":"⫏≰21011202⩷∴⫏≰2022102=⫏≰100200111","layer":3},{"info":"⫏≰-201200220∑⇟⊟⫏≰100200111=NaN","layer":2},{"info":"⫏≰11222121≓∲⫏≰11001002=⫏≰1212220221","layer":3},{"info":"⫏≰10221211⪍↜⋙⫏≰10121202=⫏≰200011","layer":3},{"info":"⫏≰1212220221↸⫏≰200011=⫏≰1212220221","layer":2},{"info":"NaN⇍⊗⫏≰1212220221=⫏≰-100001","layer":1},{"info":"⫏≰12220000⪭≯⫏≰10122112=NaN","layer":3},{"info":"⊆⋠⫏≰2012122=⫏≰0","layer":3},{"info":"NaN⋕⪉⪜⫏≰0=⫏≰21120","layer":2},{"info":"⫏≰1200211⨌↪=⫏≰-122210","layer":3},{"info":"⫏≰11121210∺≝⩲⫏≰10102112=⫏≰12221","layer":3},{"info":"⫏≰-122210⪃⊛⇣⫏≰12221=⫏≰1200201","layer":2},{"info":"⫏≰21120⩷∴⫏≰1200201=⫏≰-2212111","layer":1},{"info":"⫏≰-100001⨚⇆⫏≰-2212111=NaN","layer":0}]}
{"id":676,"expression_no_base_symbol":"(⊲⪭(⫛⫱⨽($3402$⊅)))≴⪞⇿(($1050$⫞⩸⩒$2523$⊠≄⫣)⇷(⊄⩳↩$4144$)⩼⇪↪($5104$⨎$6994$))","expression":"(⊲⪭(⫛⫱⨽(⫏≰11200000⊅)))≴⪞⇿((⫏≰1102220⫞⩸⩒⫏≰10110110⊠≄⫣)⇷(⊄⩳↩⫏≰12200111)⩼⇪↪(⫏≰21000001⨎⫏≰100121001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1294,"operation_count":10,"complexity_ratio":129.4,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":3402,"base":3}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1050,"base":3},"right_expr":{"type":"numeric_atoms","value":2523,"base":3}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4144,"base":3}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5104,"base":3},"right_expr":{"type":"numeric_atoms","value":6994,"base":3}}}}},"used_operators":["lvlrscuwVU","k7HXdKtiEU","DlLNRPXxWL","7p6YLioM7f","mp7IySMOzn","DIvbN7qnHd","XGcMNugi78","ocnLzx9CaJ","8w2t5hMYqp","rJVOvQCfKK"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","i8ToyICDmI","xUOZtlo3hN","rGHVDoGpnC","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫏≰-221202020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3402","layer":4},{"info":"compute unary expreesion, input=3402, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute unary expreesion, input=-174, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-174","layer":1},{"info":"number node, value=1050","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2523, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2523","layer":3},{"info":"compute unary expreesion, input=2523, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=4144","layer":4},{"info":"compute unary expreesion, input=4144, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12432","layer":3},{"info":"number node, value=5104","layer":4},{"info":"number node, value=6994","layer":4},{"info":"compute binary expreesion, left_input=5104, right_input=6994, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6994","layer":3},{"info":"compute binary expreesion, left_input=-12432, right_input=6994, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-74605","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-74605, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-18771","layer":0}],"base":3,"result_base":3,"text":"(⊲⪭(⫛⫱⨽(⫏≰11200000⊅)))≴⪞⇿((⫏≰1102220⫞⩸⩒⫏≰10110110⊠≄⫣)⇷(⊄⩳↩⫏≰12200111)⩼⇪↪(⫏≰21000001⨎⫏≰100121001))=⫏≰-221202020","reverse_text":"⫏≰-221202020=(⊲⪭(⫛⫱⨽(⫏≰11200000⊅)))≴⪞⇿((⫏≰1102220⫞⩸⩒⫏≰10110110⊠≄⫣)⇷(⊄⩳↩⫏≰12200111)⩼⇪↪(⫏≰21000001⨎⫏≰100121001))","cot":[{"info":"⫏≰11200000⊅=⫏≰-20110","layer":3},{"info":"⫛⫱⨽⫏≰-20110=⫏≰0","layer":2},{"info":"⊲⪭⫏≰0=⫏≰-20110","layer":1},{"info":"⫏≰1102220⫞⩸⩒⫏≰10110110=⫏≰10110110","layer":3},{"info":"⫏≰10110110⊠≄⫣=⫏≰0","layer":2},{"info":"⊄⩳↩⫏≰12200111=⫏≰-122001110","layer":3},{"info":"⫏≰21000001⨎⫏≰100121001=⫏≰100121001","layer":3},{"info":"⫏≰-122001110⩼⇪↪⫏≰100121001=⫏≰-10210100011","layer":2},{"info":"⫏≰0⇷⫏≰-10210100011=⫏≰0","layer":1},{"info":"⫏≰-20110≴⪞⇿⫏≰0=⫏≰-221202020","layer":0}]}
{"id":677,"expression_no_base_symbol":"∂⩏⊆(≸≮($5785$⫃⨇$4190$⪁(⨙⪌$6114$)))","expression":"∂⩏⊆(≸≮(⫏≰21221021⫃⨇⫏≰12202012⪁(⨙⪌⫏≰22101110)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":557606,"operation_count":5,"complexity_ratio":111521.2,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5785,"base":3},"right_expr":{"type":"numeric_atoms","value":4190,"base":3}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6114,"base":3}}}}},"used_operators":["8WDwsbhb0R","AljMvE3RRm","I7sXao9hZE","09Ly4LVMIf","vEGLkm4Z2k"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5785","layer":4},{"info":"number node, value=4190","layer":4},{"info":"compute binary expreesion, left_input=5785, right_input=4190, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16792","layer":3},{"info":"number node, value=6114","layer":4},{"info":"compute unary expreesion, input=6114, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-16792, right_input=868, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∂⩏⊆(≸≮(⫏≰21221021⫃⨇⫏≰12202012⪁(⨙⪌⫏≰22101110)))=NaN","reverse_text":"NaN=∂⩏⊆(≸≮(⫏≰21221021⫃⨇⫏≰12202012⪁(⨙⪌⫏≰22101110)))","cot":[{"info":"⫏≰21221021⫃⨇⫏≰12202012=⫏≰-212000221","layer":3},{"info":"⨙⪌⫏≰22101110=⫏≰1012011","layer":3},{"info":"⫏≰-212000221⪁⫏≰1012011=NaN","layer":2},{"info":"≸≮NaN=NaN","layer":1},{"info":"∂⩏⊆NaN=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"+⊝⨔(⇈($4513$⇷$3533$))↢((-$4731$)↳∿⪆($1938$+⇶⊼$1858$))","expression":"+⊝⨔(⇈(⫏≰20012011⇷⫏≰11211212))↢((-⫏≰20111020)↳∿⪆(⫏≰2122210+⇶⊼⫏≰2112211))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":66584,"operation_count":7,"complexity_ratio":9512.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4513,"base":3},"right_expr":{"type":"numeric_atoms","value":3533,"base":3}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4731,"base":3}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1938,"base":3},"right_expr":{"type":"numeric_atoms","value":1858,"base":3}}}}},"used_operators":["DhbWaqg5eL","WR6HLWljOP","SLLxy00UIr","mp7IySMOzn","Cw4SuJJGHO","t8gj7n24qd","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","AHs5Up7iyr"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4513","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=4513, right_input=3533, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7066","layer":3},{"info":"compute unary expreesion, input=7066, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=4731","layer":4},{"info":"compute unary expreesion, input=4731, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4731","layer":3},{"info":"number node, value=1938","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=1858, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4731, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":3,"result_base":3,"text":"+⊝⨔(⇈(⫏≰20012011⇷⫏≰11211212))↢((-⫏≰20111020)↳∿⪆(⫏≰2122210+⇶⊼⫏≰2112211))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔(⇈(⫏≰20012011⇷⫏≰11211212))↢((-⫏≰20111020)↳∿⪆(⫏≰2122210+⇶⊼⫏≰2112211))","cot":[{"info":"⫏≰20012011⇷⫏≰11211212=⫏≰100200201","layer":3},{"info":"⇈⫏≰100200201=⫏≰-121120","layer":2},{"info":"-⫏≰20111020=⫏≰-20111020","layer":3},{"info":"⫏≰2122210+⇶⊼⫏≰2112211=NaN","layer":3},{"info":"⫏≰-20111020↳∿⪆NaN=NaN","layer":2},{"info":"⫏≰-121120↢NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫏≰2002101","layer":0}]}
{"id":679,"expression_no_base_symbol":"⨆≐≲($3814$∳⫺$2390$≄⊠$5814$≠≀$2571$⨳⩥⨓(⩦⊞($6000$⫰⋱$1770$)))","expression":"⨆≐≲(⫏≰12020021∳⫺⫏≰10021112≄⊠⫏≰21222100≠≀⫏≰10112020⨳⩥⨓(⩦⊞(⫏≰22020020⫰⋱⫏≰2102120)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":281,"operation_count":7,"complexity_ratio":40.142857142857146,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3814,"base":3},"right_expr":{"type":"numeric_atoms","value":2390,"base":3}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5814,"base":3},"right_expr":{"type":"numeric_atoms","value":2571,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6000,"base":3},"right_expr":{"type":"numeric_atoms","value":1770,"base":3}}}}},"used_operators":["Bi9z9uYZqW","nCS4ZIUYfx","vXNesLlMH1","AzXXKTstlj","IwW236VD4Y","u7fv1HBiaC","6o9Blt3TJ6"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","W4YGzv6Whe","rysDP5nf3Z","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⫏≰-22120012112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3814","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=3814, right_input=2390, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=5814","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=5814, right_input=2571, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11322","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-11322, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=6000","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=6000, right_input=1770, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5967","layer":3},{"info":"compute unary expreesion, input=-5967, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-11990","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-11990, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-13490","layer":1},{"info":"compute unary expreesion, input=-13490, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":3,"result_base":3,"text":"⨆≐≲(⫏≰12020021∳⫺⫏≰10021112≄⊠⫏≰21222100≠≀⫏≰10112020⨳⩥⨓(⩦⊞(⫏≰22020020⫰⋱⫏≰2102120)))=⫏≰-22120012112","reverse_text":"⫏≰-22120012112=⨆≐≲(⫏≰12020021∳⫺⫏≰10021112≄⊠⫏≰21222100≠≀⫏≰10112020⨳⩥⨓(⩦⊞(⫏≰22020020⫰⋱⫏≰2102120)))","cot":[{"info":"⫏≰12020021∳⫺⫏≰10021112=⫏≰-100122","layer":3},{"info":"⫏≰21222100≠≀⫏≰10112020=⫏≰-120112100","layer":3},{"info":"⫏≰-100122≄⊠⫏≰-120112100=⫏≰2001120","layer":2},{"info":"⫏≰22020020⫰⋱⫏≰2102120=⫏≰-22012000","layer":3},{"info":"⩦⊞⫏≰-22012000=⫏≰-121110002","layer":2},{"info":"⫏≰2001120⨳⩥⨓⫏≰-121110002=⫏≰-200111122","layer":1},{"info":"⨆≐≲⫏≰-200111122=⫏≰-22120012112","layer":0}]}
{"id":680,"expression_no_base_symbol":"≛(↥$7331$⊮⊟↴$2285$≧⫂∧$2388$⫁$1034$)","expression":"≛(↥⫏≰101001112⊮⊟↴⫏≰10010122≧⫂∧⫏≰10021110⫁⫏≰1102022)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":168,"operation_count":5,"complexity_ratio":33.6,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":7331,"base":3},"right_expr":{"type":"numeric_atoms","value":2285,"base":3}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2388,"base":3},"right_expr":{"type":"numeric_atoms","value":1034,"base":3}}}}},"used_operators":["W7eaUhjymW","A8NUZmVepG","Ph9nP6C5qx","QDVgd2eftb","0ajvFaJAv0"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⫏≰-101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7331","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=7331, right_input=2285, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2388","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=1034, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"compute unary expreesion, input=-313, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":1},{"info":"compute unary expreesion, input=44, 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":0}],"base":3,"result_base":3,"text":"≛(↥⫏≰101001112⊮⊟↴⫏≰10010122≧⫂∧⫏≰10021110⫁⫏≰1102022)=⫏≰-101","reverse_text":"⫏≰-101=≛(↥⫏≰101001112⊮⊟↴⫏≰10010122≧⫂∧⫏≰10021110⫁⫏≰1102022)","cot":[{"info":"⫏≰101001112⊮⊟↴⫏≰10010122=⫏≰0","layer":3},{"info":"⫏≰10021110⫁⫏≰1102022=⫏≰12221","layer":3},{"info":"⫏≰0≧⫂∧⫏≰12221=⫏≰-102121","layer":2},{"info":"↥⫏≰-102121=⫏≰1122","layer":1},{"info":"≛⫏≰1122=⫏≰-101","layer":0}]}
{"id":681,"expression_no_base_symbol":"(⫶⊄≣$2705$)⇻⋧≁($3715$⩵∡$4443$)⇴∐($3277$∴$1074$*$1651$⇂≾⫗$1768$)⩧⪆(($1117$⫠)⇞)⫁⪎($1007$⩁⩘$4193$⫢⨠(∐⩳⋚$2559$))","expression":"(⫶⊄≣⫏≰10201012)⇻⋧≁(⫏≰12002121⩵∡⫏≰20002120)⇴∐(⫏≰11111101∴⫏≰1110210*⫏≰2021011⇂≾⫗⫏≰2102111)⩧⪆((⫏≰1112101⫠)⇞)⫁⪎(⫏≰1101022⩁⩘⫏≰12202022⫢⨠(∐⩳⋚⫏≰10111210))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":131771301,"operation_count":14,"complexity_ratio":9412235.785714285,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2705,"base":3}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3715,"base":3},"right_expr":{"type":"numeric_atoms","value":4443,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3277,"base":3},"right_expr":{"type":"numeric_atoms","value":1074,"base":3}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1651,"base":3},"right_expr":{"type":"numeric_atoms","value":1768,"base":3}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1117,"base":3}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":4193,"base":3}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2559,"base":3}}}}},"used_operators":["Ikt5ks8PT7","HnzytWxmAO","jCPkEVoL5K","wxb3vTeyAj","Y7wcNGrDQJ","9HNa5Wba9A","hrf7POJlIJ","aBQ6xLxuTc","xRrnTEsQ6j","5JYyxRJd4f","6SnOT2rOjz","xlXykHWxX1","gub5Cegaqo","SL6IHkK8vl"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DpFCA1CohY","IWmyXbctLI","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"⫏≰221211","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=131751829","layer":3},{"info":"number node, value=3715","layer":4},{"info":"number node, value=4443","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=4443, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3108","layer":3},{"info":"compute binary expreesion, left_input=131751829, right_input=-3108, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=3277","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=3277, right_input=1074, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8202","layer":3},{"info":"number node, value=1651","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=1768, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=8202, right_input=-676, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-5544552","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-5544552, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"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":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=4193","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=4193, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17720","layer":3},{"info":"number node, value=2559","layer":4},{"info":"compute unary expreesion, input=2559, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=368026","layer":3},{"info":"compute binary expreesion, left_input=17720, right_input=368026, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-537, right_input=160, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-697","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-697, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=697","layer":0}],"base":3,"result_base":3,"text":"(⫶⊄≣⫏≰10201012)⇻⋧≁(⫏≰12002121⩵∡⫏≰20002120)⇴∐(⫏≰11111101∴⫏≰1110210*⫏≰2021011⇂≾⫗⫏≰2102111)⩧⪆((⫏≰1112101⫠)⇞)⫁⪎(⫏≰1101022⩁⩘⫏≰12202022⫢⨠(∐⩳⋚⫏≰10111210))=⫏≰221211","reverse_text":"⫏≰221211=(⫶⊄≣⫏≰10201012)⇻⋧≁(⫏≰12002121⩵∡⫏≰20002120)⇴∐(⫏≰11111101∴⫏≰1110210*⫏≰2021011⇂≾⫗⫏≰2102111)⩧⪆((⫏≰1112101⫠)⇞)⫁⪎(⫏≰1101022⩁⩘⫏≰12202022⫢⨠(∐⩳⋚⫏≰10111210))","cot":[{"info":"⫶⊄≣⫏≰10201012=⫏≰100011220200112101","layer":3},{"info":"⫏≰12002121⩵∡⫏≰20002120=⫏≰-11021010","layer":3},{"info":"⫏≰100011220200112101⇻⋧≁⫏≰-11021010=⫏≰-121120","layer":2},{"info":"⫏≰11111101∴⫏≰1110210=⫏≰102020210","layer":3},{"info":"⫏≰2021011⇂≾⫗⫏≰2102111=⫏≰-221001","layer":3},{"info":"⫏≰102020210*⫏≰-221001=⫏≰-101102200200210","layer":2},{"info":"⫏≰-121120⇴∐⫏≰-101102200200210=NaN","layer":1},{"info":"⫏≰1112101⫠=⫏≰0","layer":3},{"info":"⫏≰0⇞=⫏≰-201220","layer":2},{"info":"⫏≰1101022⩁⩘⫏≰12202022=⫏≰220022022","layer":3},{"info":"∐⩳⋚⫏≰10111210=⫏≰200200211121","layer":3},{"info":"⫏≰220022022⫢⨠⫏≰200200211121=⫏≰12221","layer":2},{"info":"⫏≰-201220⫁⪎⫏≰12221=⫏≰-221211","layer":1},{"info":"NaN⩧⪆⫏≰-221211=⫏≰221211","layer":0}]}
{"id":682,"expression_no_base_symbol":"(⇋↷(⪝⪂⫅$3039$))⩌⋺($4648$∕⩚$8419$+$7411$⊉≛↸$2517$)⨳⩥⨓($4337$≥⨤⩑$4579$⫰⋱($6368$⫳≱↱$1261$))≠≀(⩰$6120$⋾⨃∁$1418$)","expression":"(⇋↷(⪝⪂⫅⫏≰11011120))⩌⋺(⫏≰20101011∕⩚⫏≰102112211+⫏≰101011111⊉≛↸⫏≰10110020)⨳⩥⨓(⫏≰12221122≥⨤⩑⫏≰20021121⫰⋱(⫏≰22201212⫳≱↱⫏≰1201201))≠≀(⩰⫏≰22101200⋾⨃∁⫏≰1221112)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6623,"operation_count":13,"complexity_ratio":509.46153846153845,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3039,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4648,"base":3},"right_expr":{"type":"numeric_atoms","value":8419,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7411,"base":3},"right_expr":{"type":"numeric_atoms","value":2517,"base":3}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4337,"base":3},"right_expr":{"type":"numeric_atoms","value":4579,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":6368,"base":3},"right_expr":{"type":"numeric_atoms","value":1261,"base":3}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":6120,"base":3},"right_expr":{"type":"numeric_atoms","value":1418,"base":3}}}}},"used_operators":["nCS4ZIUYfx","g7Hmc5v1ko","SWo3A1KBJH","XTarYq4gQB","W4YGzv6Whe","z9ffQ9n5Zr","DZ8iAZOCBD","IwW236VD4Y","6o9Blt3TJ6","gJLn6v0xnP","ZvLB05nZmT","WkeUrDK8WX","212REbPD9h"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⫏≰1021110120010011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3039","layer":4},{"info":"compute unary expreesion, input=3039, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-446733","layer":3},{"info":"compute unary expreesion, input=-446733, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-1786292","layer":2},{"info":"number node, value=4648","layer":4},{"info":"number node, value=8419","layer":4},{"info":"compute binary expreesion, left_input=4648, right_input=8419, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4651","layer":3},{"info":"number node, value=7411","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=7411, right_input=2517, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14822","layer":3},{"info":"compute binary expreesion, left_input=-4651, right_input=14822, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10171","layer":2},{"info":"compute binary expreesion, left_input=-1786292, right_input=10171, 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=1776000","layer":1},{"info":"number node, value=4337","layer":4},{"info":"number node, value=4579","layer":4},{"info":"compute binary expreesion, left_input=4337, right_input=4579, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6368","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=6368, right_input=1261, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-204, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1201","layer":2},{"info":"number node, value=6120","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=6120, right_input=1418, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=20090130","layer":3},{"info":"compute unary expreesion, input=20090130, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-20091130","layer":2},{"info":"compute binary expreesion, left_input=-1201, right_input=-20091130, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=20092210","layer":1},{"info":"compute binary expreesion, left_input=1776000, right_input=20092210, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=18316210","layer":0}],"base":3,"result_base":3,"text":"(⇋↷(⪝⪂⫅⫏≰11011120))⩌⋺(⫏≰20101011∕⩚⫏≰102112211+⫏≰101011111⊉≛↸⫏≰10110020)⨳⩥⨓(⫏≰12221122≥⨤⩑⫏≰20021121⫰⋱(⫏≰22201212⫳≱↱⫏≰1201201))≠≀(⩰⫏≰22101200⋾⨃∁⫏≰1221112)=⫏≰1021110120010011","reverse_text":"⫏≰1021110120010011=(⇋↷(⪝⪂⫅⫏≰11011120))⩌⋺(⫏≰20101011∕⩚⫏≰102112211+⫏≰101011111⊉≛↸⫏≰10110020)⨳⩥⨓(⫏≰12221122≥⨤⩑⫏≰20021121⫰⋱(⫏≰22201212⫳≱↱⫏≰1201201))≠≀(⩰⫏≰22101200⋾⨃∁⫏≰1221112)","cot":[{"info":"⪝⪂⫅⫏≰11011120=⫏≰-211200210200","layer":3},{"info":"⇋↷⫏≰-211200210200=⫏≰-10100202022222","layer":2},{"info":"⫏≰20101011∕⩚⫏≰102112211=⫏≰-20101021","layer":3},{"info":"⫏≰101011111⊉≛↸⫏≰10110020=⫏≰202022222","layer":3},{"info":"⫏≰-20101021+⫏≰202022222=⫏≰111221201","layer":2},{"info":"⫏≰-10100202022222⩌⋺⫏≰111221201=⫏≰10100020012210","layer":1},{"info":"⫏≰12221122≥⨤⩑⫏≰20021121=⫏≰1200201","layer":3},{"info":"⫏≰22201212⫳≱↱⫏≰1201201=⫏≰-21120","layer":3},{"info":"⫏≰1200201⫰⋱⫏≰-21120=⫏≰-1122111","layer":2},{"info":"⫏≰22101200⋾⨃∁⫏≰1221112=⫏≰1101210200110220","layer":3},{"info":"⩰⫏≰1101210200110220=⫏≰-1101210201211221","layer":2},{"info":"⫏≰-1122111≠≀⫏≰-1101210201211221=⫏≰1101210210022221","layer":1},{"info":"⫏≰10100020012210⨳⩥⨓⫏≰1101210210022221=⫏≰1021110120010011","layer":0}]}
{"id":683,"expression_no_base_symbol":"⩰((($1388$⋐⇩⊬)⫿)⇉⇱⇎)","expression":"⩰(((⫏≰1220102⋐⇩⊬)⫿)⇉⇱⇎)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":54,"operation_count":4,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1388,"base":3}}}}},"used_operators":["WkeUrDK8WX","MRPaB8lBjK","9tKT6PmtkH","JuuLT1NoCs"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"⫏≰1211122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1388","layer":3},{"info":"compute unary expreesion, input=1388, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1388","layer":2},{"info":"compute unary expreesion, input=1388, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1170","layer":1},{"info":"compute unary expreesion, input=-1170, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=1340","layer":0}],"base":3,"result_base":3,"text":"⩰(((⫏≰1220102⋐⇩⊬)⫿)⇉⇱⇎)=⫏≰1211122","reverse_text":"⫏≰1211122=⩰(((⫏≰1220102⋐⇩⊬)⫿)⇉⇱⇎)","cot":[{"info":"⫏≰1220102⋐⇩⊬=⫏≰1220102","layer":3},{"info":"⫏≰1220102⫿=⫏≰1220102","layer":2},{"info":"⫏≰1220102⇉⇱⇎=⫏≰-1121100","layer":1},{"info":"⩰⫏≰-1121100=⫏≰1211122","layer":0}]}
{"id":684,"expression_no_base_symbol":"(($1511$⫲≸⪮$4502$⋷($4240$⋹))⫚⫇)∣((≇⪴$5041$)⇻⋧≁($1369$⪭$3194$)⊬⫿⊭)","expression":"((⫏≰2001222⫲≸⪮⫏≰20011202⋷(⫏≰12211001⋹))⫚⫇)∣((≇⪴⫏≰20220201)⇻⋧≁(⫏≰1212201⪭⫏≰11101022)⊬⫿⊭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1658,"operation_count":9,"complexity_ratio":184.22222222222223,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1511,"base":3},"right_expr":{"type":"numeric_atoms","value":4502,"base":3}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":4240,"base":3}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":5041,"base":3}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1369,"base":3},"right_expr":{"type":"numeric_atoms","value":3194,"base":3}}}}},"used_operators":["PPChnnnBFF","SdCjLnB6rR","23Mk6UjR3U","P3lXMJvFrc","opAxDRczMr","v0DYgG9ikt","jCPkEVoL5K","zoVPnxeHJ3","j9kHMeSvPp"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","COABgblf1C","xUOZtlo3hN"],"result":"⫏≰-201100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1511","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=4502, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1511","layer":3},{"info":"number node, value=4240","layer":4},{"info":"compute unary expreesion, input=4240, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=1511, right_input=-20, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1551","layer":2},{"info":"compute unary expreesion, input=-1551, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":1},{"info":"number node, value=5041","layer":4},{"info":"compute unary expreesion, input=5041, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-13783","layer":3},{"info":"number node, value=1369","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=3194, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-13783, right_input=5, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-127424","layer":2},{"info":"compute unary expreesion, input=-127424, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=127636","layer":1},{"info":"compute binary expreesion, left_input=-522, right_input=127636, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-522","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2001222⫲≸⪮⫏≰20011202⋷(⫏≰12211001⋹))⫚⫇)∣((≇⪴⫏≰20220201)⇻⋧≁(⫏≰1212201⪭⫏≰11101022)⊬⫿⊭)=⫏≰-201100","reverse_text":"⫏≰-201100=((⫏≰2001222⫲≸⪮⫏≰20011202⋷(⫏≰12211001⋹))⫚⫇)∣((≇⪴⫏≰20220201)⇻⋧≁(⫏≰1212201⪭⫏≰11101022)⊬⫿⊭)","cot":[{"info":"⫏≰2001222⫲≸⪮⫏≰20011202=⫏≰2001222","layer":3},{"info":"⫏≰12211001⋹=⫏≰-202","layer":3},{"info":"⫏≰2001222⋷⫏≰-202=⫏≰-2010110","layer":2},{"info":"⫏≰-2010110⫚⫇=⫏≰-201100","layer":1},{"info":"≇⪴⫏≰20220201=⫏≰-200220111","layer":3},{"info":"⫏≰1212201⪭⫏≰11101022=⫏≰12","layer":3},{"info":"⫏≰-200220111⇻⋧≁⫏≰12=⫏≰-20110210102","layer":2},{"info":"⫏≰-20110210102⊬⫿⊭=⫏≰20111002021","layer":1},{"info":"⫏≰-201100∣⫏≰20111002021=⫏≰-201100","layer":0}]}
{"id":685,"expression_no_base_symbol":"⊊≼∋((($1317$⫸⊐$1091$)⨫⇇↔(⩎⋉$4827$))⩘⨬⇊)","expression":"⊊≼∋(((⫏≰1210210⫸⊐⫏≰1111102)⨫⇇↔(⩎⋉⫏≰20121210))⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":279414,"operation_count":5,"complexity_ratio":55882.8,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1317,"base":3},"right_expr":{"type":"numeric_atoms","value":1091,"base":3}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4827,"base":3}}}}},"used_operators":["FWz7pXsQhA","XXmTpEpWTW","LXhwmt4mBO","mqXw5SEYmG","FlXk3pOYe8"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1317, 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":3},{"info":"number node, value=4827","layer":4},{"info":"compute unary expreesion, input=4827, 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":3},{"info":"compute binary expreesion, left_input=4239, right_input=1650, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊊≼∋(((⫏≰1210210⫸⊐⫏≰1111102)⨫⇇↔(⩎⋉⫏≰20121210))⩘⨬⇊)=NaN","reverse_text":"NaN=⊊≼∋(((⫏≰1210210⫸⊐⫏≰1111102)⨫⇇↔(⩎⋉⫏≰20121210))⩘⨬⇊)","cot":[{"info":"⫏≰1210210⫸⊐⫏≰1111102=⫏≰12211000","layer":3},{"info":"⩎⋉⫏≰20121210=⫏≰2021010","layer":3},{"info":"⫏≰12211000⨫⇇↔⫏≰2021010=⫏≰-201112","layer":2},{"info":"⫏≰-201112⩘⨬⇊=NaN","layer":1},{"info":"⊊≼∋NaN=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"(⩏⊷≩$7862$⪃⊛⇣$2592$∀⇚≩($1039$⇩))∖(($7827$⪶≀⋏$3616$)⊬⨰(↽≂$1941$)∸)","expression":"(⩏⊷≩⫏≰101210012⪃⊛⇣⫏≰10120000∀⇚≩(⫏≰1102111⇩))∖((⫏≰101201220⪶≀⋏⫏≰11221221)⊬⨰(↽≂⫏≰2122220)∸)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9597,"operation_count":9,"complexity_ratio":1066.3333333333333,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":7862,"base":3},"right_expr":{"type":"numeric_atoms","value":2592,"base":3}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1039,"base":3}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":7827,"base":3},"right_expr":{"type":"numeric_atoms","value":3616,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1941,"base":3}}}}},"used_operators":["tXD093vOjl","uOZ1tnYMDE","LRNGc0VcxI","rrgAzCduG9","vRio1gEz1j","o20kRiQErp","s3Fd5m9Dh2","zR4jO40bMj","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","23Mk6UjR3U","12rbrZMWeM","X99M06cbEe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","tmPS8pqC7x","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7862","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=7862, right_input=2592, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1132","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1132, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":1},{"info":"number node, value=7827","layer":4},{"info":"number node, value=3616","layer":4},{"info":"compute binary expreesion, left_input=7827, right_input=3616, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-30945","layer":3},{"info":"number node, value=1941","layer":4},{"info":"compute unary expreesion, input=1941, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3882","layer":3},{"info":"compute binary expreesion, left_input=-30945, right_input=-3882, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-77418","layer":2},{"info":"compute unary expreesion, input=-77418, 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 = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⩏⊷≩⫏≰101210012⪃⊛⇣⫏≰10120000∀⇚≩(⫏≰1102111⇩))∖((⫏≰101201220⪶≀⋏⫏≰11221221)⊬⨰(↽≂⫏≰2122220)∸)=⫏≰0","reverse_text":"⫏≰0=(⩏⊷≩⫏≰101210012⪃⊛⇣⫏≰10120000∀⇚≩(⫏≰1102111⇩))∖((⫏≰101201220⪶≀⋏⫏≰11221221)⊬⨰(↽≂⫏≰2122220)∸)","cot":[{"info":"⫏≰101210012⪃⊛⇣⫏≰10120000=⫏≰1200201","layer":3},{"info":"⫏≰1102111⇩=⫏≰1112221","layer":3},{"info":"⫏≰1200201∀⇚≩⫏≰1112221=NaN","layer":2},{"info":"⩏⊷≩NaN=NaN","layer":1},{"info":"⫏≰101201220⪶≀⋏⫏≰11221221=⫏≰-1120110010","layer":3},{"info":"↽≂⫏≰2122220=⫏≰-12022210","layer":3},{"info":"⫏≰-1120110010⊬⨰⫏≰-12022210=⫏≰-10221012100","layer":2},{"info":"⫏≰-10221012100∸=⫏≰20120","layer":1},{"info":"NaN∖⫏≰20120=⫏≰0","layer":0}]}
{"id":687,"expression_no_base_symbol":"(↞≼($2110$⋣⋖$5747$↙(↯⪼$2306$)))⪝((↯⪼$5940$)∠⫱(⩪∧⨌$2571$))⊮⊟↴((∟⋨$2568$)-$3320$∠⫱$7285$)","expression":"(↞≼(⫏≰2220011⋣⋖⫏≰21212212↙(↯⪼⫏≰10011102)))⪝((↯⪼⫏≰22011000)∠⫱(⩪∧⨌⫏≰10112020))⊮⊟↴((∟⋨⫏≰10112010)-⫏≰11112222∠⫱⫏≰100222211)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3164,"operation_count":12,"complexity_ratio":263.6666666666667,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2110,"base":3},"right_expr":{"type":"numeric_atoms","value":5747,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2306,"base":3}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5940,"base":3}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2571,"base":3}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2568,"base":3}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3320,"base":3},"right_expr":{"type":"numeric_atoms","value":7285,"base":3}}}}},"used_operators":["wicAB68Tmb","DE7zCoGJt9","yyfyN0ffXY","J0M6qkBnIM","8jW3W4yZS5","QDVgd2eftb","QvoQhV0rrE","6iOiAJX1F8","rysDP5nf3Z","ctOc4cKSDt"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","tmPS8pqC7x","DpFCA1CohY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLAdDNolq6","tmPS8pqC7x"],"result":"⫏≰22202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2110","layer":4},{"info":"number node, value=5747","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=5747, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2110","layer":3},{"info":"number node, value=2306","layer":4},{"info":"compute unary expreesion, input=2306, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=2110, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-63","layer":2},{"info":"compute unary expreesion, input=-63, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-918","layer":1},{"info":"number node, value=5940","layer":4},{"info":"compute unary expreesion, input=5940, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2571","layer":4},{"info":"compute unary expreesion, input=2571, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=25710","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=25710, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=2568","layer":4},{"info":"compute unary expreesion, input=2568, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2084","layer":3},{"info":"number node, value=3320","layer":4},{"info":"number node, value=7285","layer":4},{"info":"compute binary expreesion, left_input=3320, right_input=7285, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-2084, right_input=1234, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3318","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-3318, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=160141","layer":1},{"info":"compute binary expreesion, left_input=-918, right_input=160141, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":0}],"base":3,"result_base":3,"text":"(↞≼(⫏≰2220011⋣⋖⫏≰21212212↙(↯⪼⫏≰10011102)))⪝((↯⪼⫏≰22011000)∠⫱(⩪∧⨌⫏≰10112020))⊮⊟↴((∟⋨⫏≰10112010)-⫏≰11112222∠⫱⫏≰100222211)=⫏≰22202","reverse_text":"⫏≰22202=(↞≼(⫏≰2220011⋣⋖⫏≰21212212↙(↯⪼⫏≰10011102)))⪝((↯⪼⫏≰22011000)∠⫱(⩪∧⨌⫏≰10112020))⊮⊟↴((∟⋨⫏≰10112010)-⫏≰11112222∠⫱⫏≰100222211)","cot":[{"info":"⫏≰2220011⋣⋖⫏≰21212212=⫏≰2220011","layer":3},{"info":"↯⪼⫏≰10011102=⫏≰-210","layer":3},{"info":"⫏≰2220011↙⫏≰-210=⫏≰-2100","layer":2},{"info":"↞≼⫏≰-2100=⫏≰-1021000","layer":1},{"info":"↯⪼⫏≰22011000=⫏≰-210","layer":3},{"info":"⩪∧⨌⫏≰10112020=⫏≰1022021020","layer":3},{"info":"⫏≰-210∠⫱⫏≰1022021020=⫏≰1200201","layer":2},{"info":"∟⋨⫏≰10112010=⫏≰-2212012","layer":3},{"info":"⫏≰11112222∠⫱⫏≰100222211=⫏≰1200201","layer":3},{"info":"⫏≰-2212012-⫏≰1200201=⫏≰-11112220","layer":2},{"info":"⫏≰1200201⊮⊟↴⫏≰-11112220=⫏≰22010200011","layer":1},{"info":"⫏≰-1021000⪝⫏≰22010200011=⫏≰22202","layer":0}]}
{"id":688,"expression_no_base_symbol":"(($2604$⊕∕$2227$⊭↱($1855$+$4088$))∼(($1354$≓∲$6178$)≓∲$3759$⪄$2168$))⨑⩅≇((($1570$⨐⩸⫘$1957$)⪠⩆⊳)≃⋄)","expression":"((⫏≰10120110⊕∕⫏≰10001111⊭↱(⫏≰2112201+⫏≰12121102))∼((⫏≰1212011≓∲⫏≰22110211)≓∲⫏≰12011020⪄⫏≰2222022))⨑⩅≇(((⫏≰2011011⨐⩸⫘⫏≰2200111)⪠⩆⊳)≃⋄)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":457,"operation_count":11,"complexity_ratio":41.54545454545455,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2604,"base":3},"right_expr":{"type":"numeric_atoms","value":2227,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1855,"base":3},"right_expr":{"type":"numeric_atoms","value":4088,"base":3}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1354,"base":3},"right_expr":{"type":"numeric_atoms","value":6178,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3759,"base":3},"right_expr":{"type":"numeric_atoms","value":2168,"base":3}}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1570,"base":3},"right_expr":{"type":"numeric_atoms","value":1957,"base":3}}}}},"used_operators":["h92wMvzauj","DyGG3AbaNP","COABgblf1C","9cloC0Ngie","W4YGzv6Whe","s1XTVnmDOJ","SUmda5xLS4","aN9a90urxU","JLbD19bQDL","fu6greOZ01"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","uFcxV4UQCh","jLgFTUHLKL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"⫏≰1021122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2604","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=2604, right_input=2227, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2604","layer":3},{"info":"number node, value=1855","layer":4},{"info":"number node, value=4088","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=4088, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5943","layer":3},{"info":"compute binary expreesion, left_input=2604, right_input=5943, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6683","layer":2},{"info":"number node, value=1354","layer":4},{"info":"number node, value=6178","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=6178, 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=14323","layer":3},{"info":"number node, value=3759","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=3759, right_input=2168, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-561093","layer":3},{"info":"compute binary expreesion, left_input=14323, right_input=-561093, 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=16101250","layer":2},{"info":"compute binary expreesion, left_input=6683, right_input=16101250, 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=1570","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=1957, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', 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":3,"result_base":3,"text":"((⫏≰10120110⊕∕⫏≰10001111⊭↱(⫏≰2112201+⫏≰12121102))∼((⫏≰1212011≓∲⫏≰22110211)≓∲⫏≰12011020⪄⫏≰2222022))⨑⩅≇(((⫏≰2011011⨐⩸⫘⫏≰2200111)⪠⩆⊳)≃⋄)=⫏≰1021122","reverse_text":"⫏≰1021122=((⫏≰10120110⊕∕⫏≰10001111⊭↱(⫏≰2112201+⫏≰12121102))∼((⫏≰1212011≓∲⫏≰22110211)≓∲⫏≰12011020⪄⫏≰2222022))⨑⩅≇(((⫏≰2011011⨐⩸⫘⫏≰2200111)⪠⩆⊳)≃⋄)","cot":[{"info":"⫏≰10120110⊕∕⫏≰10001111=⫏≰10120110","layer":3},{"info":"⫏≰2112201+⫏≰12121102=⫏≰22011010","layer":3},{"info":"⫏≰10120110⊭↱⫏≰22011010=⫏≰100011112","layer":2},{"info":"⫏≰1212011≓∲⫏≰22110211=⫏≰201122111","layer":3},{"info":"⫏≰12011020⪄⫏≰2222022=⫏≰-1001111200020","layer":3},{"info":"⫏≰201122111≓∲⫏≰-1001111200020=⫏≰1010022000202121","layer":2},{"info":"⫏≰100011112∼⫏≰1010022000202121=NaN","layer":1},{"info":"⫏≰2011011⨐⩸⫘⫏≰2200111=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"NaN≃⋄=NaN","layer":1},{"info":"NaN⨑⩅≇NaN=⫏≰1021122","layer":0}]}
{"id":689,"expression_no_base_symbol":"(↩$1657$⇂≾⫗$6966$≴⪞⇿($1541$⊔$2138$))↢(≛(($2003$⪉⨛$2898$)⨽⪊≇))","expression":"(↩⫏≰2021101⇂≾⫗⫏≰100120000≴⪞⇿(⫏≰2010002⊔⫏≰2221012))↢(≛((⫏≰2202012⪉⨛⫏≰10222100)⨽⪊≇))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":198,"operation_count":8,"complexity_ratio":24.75,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1657,"base":3},"right_expr":{"type":"numeric_atoms","value":6966,"base":3}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1541,"base":3},"right_expr":{"type":"numeric_atoms","value":2138,"base":3}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2003,"base":3},"right_expr":{"type":"numeric_atoms","value":2898,"base":3}}}}},"used_operators":["WR6HLWljOP","jLgFTUHLKL","lvlrscuwVU","aBQ6xLxuTc","E4l6HwMY31","W7eaUhjymW","nlCqmYiOvY","EWw2JM7wp4"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⫏≰2200010120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1657","layer":4},{"info":"number node, value=6966","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=6966, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=2138, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=11372","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=11372, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-12612","layer":2},{"info":"compute unary expreesion, input=-12612, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=53068","layer":1},{"info":"number node, value=2003","layer":4},{"info":"number node, value=2898","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=2898, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3326","layer":3},{"info":"compute unary expreesion, input=3326, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=6126","layer":2},{"info":"compute unary expreesion, input=6126, 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 binary expreesion, left_input=53068, right_input=-10, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=52584","layer":0}],"base":3,"result_base":3,"text":"(↩⫏≰2021101⇂≾⫗⫏≰100120000≴⪞⇿(⫏≰2010002⊔⫏≰2221012))↢(≛((⫏≰2202012⪉⨛⫏≰10222100)⨽⪊≇))=⫏≰2200010120","reverse_text":"⫏≰2200010120=(↩⫏≰2021101⇂≾⫗⫏≰100120000≴⪞⇿(⫏≰2010002⊔⫏≰2221012))↢(≛((⫏≰2202012⪉⨛⫏≰10222100)⨽⪊≇))","cot":[{"info":"⫏≰2021101⇂≾⫗⫏≰100120000=⫏≰-221001","layer":3},{"info":"⫏≰2010002⊔⫏≰2221012=⫏≰120121012","layer":3},{"info":"⫏≰-221001≴⪞⇿⫏≰120121012=⫏≰-122022010","layer":2},{"info":"↩⫏≰-122022010=⫏≰2200210111","layer":1},{"info":"⫏≰2202012⪉⨛⫏≰10222100=⫏≰11120012","layer":3},{"info":"⫏≰11120012⨽⪊≇=⫏≰22101220","layer":2},{"info":"≛⫏≰22101220=⫏≰-101","layer":1},{"info":"⫏≰2200210111↢⫏≰-101=⫏≰2200010120","layer":0}]}
{"id":690,"expression_no_base_symbol":"(⩰(∓(⊽$2994$)))⨲","expression":"(⩰(∓(⊽⫏≰11002220)))⨲","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1625,"operation_count":4,"complexity_ratio":406.25,"tree":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2994,"base":3}}}}},"used_operators":["nLYMGWM7L8","WkeUrDK8WX","OwUj7dcsQK","QxG7OkqoLX"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2994","layer":4},{"info":"compute unary expreesion, input=2994, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=7510","layer":3},{"info":"compute unary expreesion, input=7510, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-117522","layer":2},{"info":"compute unary expreesion, input=-117522, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=234044","layer":1},{"info":"compute unary expreesion, input=234044, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⩰(∓(⊽⫏≰11002220)))⨲=NaN","reverse_text":"NaN=(⩰(∓(⊽⫏≰11002220)))⨲","cot":[{"info":"⊽⫏≰11002220=⫏≰101022011","layer":3},{"info":"∓⫏≰101022011=⫏≰-12222012200","layer":2},{"info":"⩰⫏≰-12222012200=⫏≰102220001022","layer":1},{"info":"⫏≰102220001022⨲=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"($2176$⩇∃⫛$2032$⨽⪊≇)⪨⊡(⪫⨮⊛($1054$⇌⫙⪟$5207$))⪭≯(($1239$⊲⩕⊾$4481$)⩍⋽⫝̸($2461$⇀∌)+⇶⊼($1755$⊋$3064$≀⩗∶(⊖$3763$)))","expression":"(⫏≰2222121⩇∃⫛⫏≰2210021⨽⪊≇)⪨⊡(⪫⨮⊛(⫏≰1110001⇌⫙⪟⫏≰21010212))⪭≯((⫏≰1200220⊲⩕⊾⫏≰20010222)⩍⋽⫝̸(⫏≰10101011⇀∌)+⇶⊼(⫏≰2102000⊋⫏≰11012111≀⩗∶(⊖⫏≰12011101)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2948,"operation_count":13,"complexity_ratio":226.76923076923077,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2176,"base":3},"right_expr":{"type":"numeric_atoms","value":2032,"base":3}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1054,"base":3},"right_expr":{"type":"numeric_atoms","value":5207,"base":3}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1239,"base":3},"right_expr":{"type":"numeric_atoms","value":4481,"base":3}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":2461,"base":3}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1755,"base":3},"right_expr":{"type":"numeric_atoms","value":3064,"base":3}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3763,"base":3}}}}},"used_operators":["XAx5wpdLa6","kuIXHzHcAH","nlCqmYiOvY","1aApVXNlOP","w5FWba1tyO","AFVx7xoS7T","TpPTUOHfaN","BiWNJpBvwn","DmTXOeWf9t","2k53nXOpI5","8INZBEW696","W4tP9CfskL","U6pG0PXrV3"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","AHs5Up7iyr","Ph9nP6C5qx","xUOZtlo3hN","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2176","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=2032, 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=329","layer":3},{"info":"compute unary expreesion, input=329, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=132","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=5207","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=5207, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=132, right_input=113, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=160","layer":1},{"info":"number node, value=1239","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=4481, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-61264","layer":3},{"info":"number node, value=2461","layer":4},{"info":"compute unary expreesion, input=2461, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-61264, right_input=113, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-322","layer":2},{"info":"number node, value=1755","layer":4},{"info":"number node, value=3064","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=3064, 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=-30312360","layer":3},{"info":"number node, value=3763","layer":4},{"info":"compute unary expreesion, input=3763, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-30312360, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-322, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2222121⩇∃⫛⫏≰2210021⨽⪊≇)⪨⊡(⪫⨮⊛(⫏≰1110001⇌⫙⪟⫏≰21010212))⪭≯((⫏≰1200220⊲⩕⊾⫏≰20010222)⩍⋽⫝̸(⫏≰10101011⇀∌)+⇶⊼(⫏≰2102000⊋⫏≰11012111≀⩗∶(⊖⫏≰12011101)))=NaN","reverse_text":"NaN=(⫏≰2222121⩇∃⫛⫏≰2210021⨽⪊≇)⪨⊡(⪫⨮⊛(⫏≰1110001⇌⫙⪟⫏≰21010212))⪭≯((⫏≰1200220⊲⩕⊾⫏≰20010222)⩍⋽⫝̸(⫏≰10101011⇀∌)+⇶⊼(⫏≰2102000⊋⫏≰11012111≀⩗∶(⊖⫏≰12011101)))","cot":[{"info":"⫏≰2222121⩇∃⫛⫏≰2210021=⫏≰110012","layer":3},{"info":"⫏≰110012⨽⪊≇=⫏≰11220","layer":2},{"info":"⫏≰1110001⇌⫙⪟⫏≰21010212=⫏≰11012","layer":3},{"info":"⪫⨮⊛⫏≰11012=⫏≰11012","layer":2},{"info":"⫏≰11220⪨⊡⫏≰11012=⫏≰12221","layer":1},{"info":"⫏≰1200220⊲⩕⊾⫏≰20010222=⫏≰-10010001001","layer":3},{"info":"⫏≰10101011⇀∌=⫏≰11012","layer":3},{"info":"⫏≰-10010001001⩍⋽⫝̸⫏≰11012=⫏≰-102221","layer":2},{"info":"⫏≰2102000⊋⫏≰11012111=⫏≰-2010001000202000","layer":3},{"info":"⊖⫏≰12011101=⫏≰0","layer":3},{"info":"⫏≰-2010001000202000≀⩗∶⫏≰0=⫏≰0","layer":2},{"info":"⫏≰-102221+⇶⊼⫏≰0=⫏≰0","layer":1},{"info":"⫏≰12221⪭≯⫏≰0=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"($1047$∓⋝$2258$⨻⩈⩔($1230$⨽$1208$)⫠↝⫳)⫔⩽⩺((⫡⇟⇯$2031$)∝($4716$∷$5169$))⋕⪉⪜($2138$⫣⪄⊒$7617$⩠)","expression":"(⫏≰1102210∓⋝⫏≰10002122⨻⩈⩔(⫏≰1200120⨽⫏≰1122202)⫠↝⫳)⫔⩽⩺((⫡⇟⇯⫏≰2210020)∝(⫏≰20110200∷⫏≰21002110))⋕⪉⪜(⫏≰2221012⫣⪄⊒⫏≰101110010⩠)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":46012,"operation_count":11,"complexity_ratio":4182.909090909091,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1047,"base":3},"right_expr":{"type":"numeric_atoms","value":2258,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1230,"base":3},"right_expr":{"type":"numeric_atoms","value":1208,"base":3}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2031,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4716,"base":3},"right_expr":{"type":"numeric_atoms","value":5169,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2138,"base":3},"right_expr":{"type":"numeric_atoms","value":7617,"base":3}}}}},"used_operators":["i9eR4S00cU","8n5YIzOsVS","nEsXyWgiOK","PoHhknlbAi","8HhzD0ZcuI","z6LnFrNh4i","cTDWOvIxvz","qWUSsah53b","D3AQDKkPcf","sJAwomhLZr","RabNbG55vr"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DZ8iAZOCBD","P8v4zCKN1o","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=2258, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1208, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4541010","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-4541010, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-4945","layer":1},{"info":"number node, value=2031","layer":4},{"info":"compute unary expreesion, input=2031, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4930","layer":3},{"info":"number node, value=4716","layer":4},{"info":"number node, value=5169","layer":4},{"info":"compute binary expreesion, left_input=4716, right_input=5169, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5169","layer":3},{"info":"compute binary expreesion, left_input=4930, right_input=5169, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4935","layer":2},{"info":"number node, value=2138","layer":4},{"info":"number node, value=7617","layer":4},{"info":"compute binary expreesion, left_input=2138, right_input=7617, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-41938","layer":3},{"info":"compute unary expreesion, input=-41938, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=167961","layer":2},{"info":"compute binary expreesion, left_input=4935, right_input=167961, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=-4945, right_input=204, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1102210∓⋝⫏≰10002122⨻⩈⩔(⫏≰1200120⨽⫏≰1122202)⫠↝⫳)⫔⩽⩺((⫡⇟⇯⫏≰2210020)∝(⫏≰20110200∷⫏≰21002110))⋕⪉⪜(⫏≰2221012⫣⪄⊒⫏≰101110010⩠)=NaN","reverse_text":"NaN=(⫏≰1102210∓⋝⫏≰10002122⨻⩈⩔(⫏≰1200120⨽⫏≰1122202)⫠↝⫳)⫔⩽⩺((⫡⇟⇯⫏≰2210020)∝(⫏≰20110200∷⫏≰21002110))⋕⪉⪜(⫏≰2221012⫣⪄⊒⫏≰101110010⩠)","cot":[{"info":"⫏≰1102210∓⋝⫏≰10002122=⫏≰2111","layer":3},{"info":"⫏≰1200120⨽⫏≰1122202=⫏≰-22112201002120","layer":3},{"info":"⫏≰2111⨻⩈⩔⫏≰-22112201002120=⫏≰-20110","layer":2},{"info":"⫏≰-20110⫠↝⫳=⫏≰-20210011","layer":1},{"info":"⫡⇟⇯⫏≰2210020=⫏≰20202121","layer":3},{"info":"⫏≰20110200∷⫏≰21002110=⫏≰21002110","layer":3},{"info":"⫏≰20202121∝⫏≰21002110=⫏≰20202210","layer":2},{"info":"⫏≰2221012⫣⪄⊒⫏≰101110010=⫏≰-2010112021","layer":3},{"info":"⫏≰-2010112021⩠=⫏≰22112101210","layer":2},{"info":"⫏≰20202210⋕⪉⪜⫏≰22112101210=⫏≰21120","layer":1},{"info":"⫏≰-20210011⫔⩽⩺⫏≰21120=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"(($2307$⋥≓≎$2029$)∋($2790$≄⊠$2368$)⩁)⇍⊗(($1748$+⪬∐$3239$⊭∹↮)⩷∴(($4302$⋻⩜⩜$3866$)⊋≦⊧($2306$≎⊠⪸$5536$)))","expression":"((⫏≰10011110⋥≓≎⫏≰2210011)∋(⫏≰10211100≄⊠⫏≰10020201)⩁)⇍⊗((⫏≰2101202+⪬∐⫏≰11102222⊭∹↮)⩷∴((⫏≰12220100⋻⩜⩜⫏≰12022012)⊋≦⊧(⫏≰10011102≎⊠⪸⫏≰21121001)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54664,"operation_count":11,"complexity_ratio":4969.454545454545,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2307,"base":3},"right_expr":{"type":"numeric_atoms","value":2029,"base":3}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2790,"base":3},"right_expr":{"type":"numeric_atoms","value":2368,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1748,"base":3},"right_expr":{"type":"numeric_atoms","value":3239,"base":3}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4302,"base":3},"right_expr":{"type":"numeric_atoms","value":3866,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2306,"base":3},"right_expr":{"type":"numeric_atoms","value":5536,"base":3}}}}},"used_operators":["5uvYHDjeKN","5GqDbVmqXU","ukq6epAj5P","Qy55tPpLXF","vXNesLlMH1","9FxExcQeMw","xNBdhnnwKq","2GS7woTJqF","oRDoc9rAEX","oDCm7WA9JY","bJkvcejdHO"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫏≰-100001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2307","layer":4},{"info":"number node, value=2029","layer":4},{"info":"compute binary expreesion, left_input=2307, right_input=2029, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1784","layer":3},{"info":"number node, value=2790","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=2368, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=42556","layer":3},{"info":"compute binary expreesion, left_input=1784, right_input=42556, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=88215128","layer":2},{"info":"compute unary expreesion, input=88215128, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-705718244","layer":1},{"info":"number node, value=1748","layer":4},{"info":"number node, value=3239","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=3239, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5244","layer":3},{"info":"compute unary expreesion, input=-5244, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-5244","layer":2},{"info":"number node, value=4302","layer":4},{"info":"number node, value=3866","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=3866, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8604","layer":3},{"info":"number node, value=2306","layer":4},{"info":"number node, value=5536","layer":4},{"info":"compute binary expreesion, left_input=2306, right_input=5536, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=596781","layer":3},{"info":"compute binary expreesion, left_input=8604, right_input=596781, 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=-605145","layer":2},{"info":"compute binary expreesion, left_input=-5244, right_input=-605145, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1199770","layer":1},{"info":"compute binary expreesion, left_input=-705718244, right_input=1199770, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10011110⋥≓≎⫏≰2210011)∋(⫏≰10211100≄⊠⫏≰10020201)⩁)⇍⊗((⫏≰2101202+⪬∐⫏≰11102222⊭∹↮)⩷∴((⫏≰12220100⋻⩜⩜⫏≰12022012)⊋≦⊧(⫏≰10011102≎⊠⪸⫏≰21121001)))=⫏≰-100001","reverse_text":"⫏≰-100001=((⫏≰10011110⋥≓≎⫏≰2210011)∋(⫏≰10211100≄⊠⫏≰10020201)⩁)⇍⊗((⫏≰2101202+⪬∐⫏≰11102222⊭∹↮)⩷∴((⫏≰12220100⋻⩜⩜⫏≰12022012)⊋≦⊧(⫏≰10011102≎⊠⪸⫏≰21121001)))","cot":[{"info":"⫏≰10011110⋥≓≎⫏≰2210011=⫏≰2110002","layer":3},{"info":"⫏≰10211100≄⊠⫏≰10020201=⫏≰2011101011","layer":3},{"info":"⫏≰2110002∋⫏≰2011101011=⫏≰20010222210101222","layer":2},{"info":"⫏≰20010222210101222⩁=⫏≰-1211011221012102202","layer":1},{"info":"⫏≰2101202+⪬∐⫏≰11102222=⫏≰-21012020","layer":3},{"info":"⫏≰-21012020⊭∹↮=⫏≰-21012020","layer":2},{"info":"⫏≰12220100⋻⩜⩜⫏≰12022012=⫏≰102210200","layer":3},{"info":"⫏≰10011102≎⊠⪸⫏≰21121001=⫏≰1010022122000","layer":3},{"info":"⫏≰102210200⊋≦⊧⫏≰1010022122000=⫏≰-1010202002210","layer":2},{"info":"⫏≰-21012020⩷∴⫏≰-1010202002210=⫏≰2020221202221","layer":1},{"info":"⫏≰-1211011221012102202⇍⊗⫏≰2020221202221=⫏≰-100001","layer":0}]}
{"id":694,"expression_no_base_symbol":"(($8770$⊓⋫)⫦⪉$1003$⪬$2308$)⫯⪬∳(∷≠$4144$)⪬($4041$∠⫱$2387$)⨫⇇↔($8314$⊭↱$8578$+(≘$4591$))⪝(($5173$+⪬∐$5586$)↓$2551$∥⊢⊲$5718$)","expression":"((⫏≰110000211⊓⋫)⫦⪉⫏≰1101011⪬⫏≰10011111)⫯⪬∳(∷≠⫏≰12200111)⪬(⫏≰12112200∠⫱⫏≰10021102)⨫⇇↔(⫏≰102101221⊭↱⫏≰102202201+(≘⫏≰20022001))⪝((⫏≰21002121+⪬∐⫏≰21122220)↓⫏≰10111111∥⊢⊲⫏≰21211210)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2138,"operation_count":15,"complexity_ratio":142.53333333333333,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":8770,"base":3}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1003,"base":3},"right_expr":{"type":"numeric_atoms","value":2308,"base":3}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4144,"base":3}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4041,"base":3},"right_expr":{"type":"numeric_atoms","value":2387,"base":3}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8314,"base":3},"right_expr":{"type":"numeric_atoms","value":8578,"base":3}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4591,"base":3}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5173,"base":3},"right_expr":{"type":"numeric_atoms","value":5586,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2551,"base":3},"right_expr":{"type":"numeric_atoms","value":5718,"base":3}}}}},"used_operators":["LXhwmt4mBO","d7ASUq0ydm","wscyQdcy20","IqGBaFP0uj","Ez1Nq5fNfI","QiR2Oyf5Xj","QvoQhV0rrE","wicAB68Tmb","W4YGzv6Whe","COABgblf1C","tcjXMdvYtA","Af076pWI7l","2GS7woTJqF","v1UQAVDJRr"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","7j4O788W3g","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","g55IO6H4Gj","D4vGDi5EA2","EBcxylXtPf","rGHVDoGpnC"],"result":"⫏≰-201112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8770","layer":4},{"info":"compute unary expreesion, input=8770, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-8898","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2308, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-8898, right_input=1234, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=21634","layer":2},{"info":"number node, value=4144","layer":4},{"info":"compute unary expreesion, input=4144, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4144","layer":3},{"info":"number node, value=4041","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=4041, right_input=2387, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=4144, right_input=1234, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=21634, right_input=1234, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=106969","layer":1},{"info":"number node, value=8314","layer":4},{"info":"number node, value=8578","layer":4},{"info":"compute binary expreesion, left_input=8314, right_input=8578, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=533","layer":3},{"info":"number node, value=4591","layer":4},{"info":"compute unary expreesion, input=4591, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10123939","layer":3},{"info":"compute binary expreesion, left_input=533, right_input=10123939, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10124472","layer":2},{"info":"number node, value=5173","layer":4},{"info":"number node, value=5586","layer":4},{"info":"compute binary expreesion, left_input=5173, right_input=5586, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-15519","layer":3},{"info":"number node, value=2551","layer":4},{"info":"number node, value=5718","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=5718, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15519, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=10124472, right_input=-134, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-40498823","layer":1},{"info":"compute binary expreesion, left_input=106969, right_input=-40498823, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":3,"result_base":3,"text":"((⫏≰110000211⊓⋫)⫦⪉⫏≰1101011⪬⫏≰10011111)⫯⪬∳(∷≠⫏≰12200111)⪬(⫏≰12112200∠⫱⫏≰10021102)⨫⇇↔(⫏≰102101221⊭↱⫏≰102202201+(≘⫏≰20022001))⪝((⫏≰21002121+⪬∐⫏≰21122220)↓⫏≰10111111∥⊢⊲⫏≰21211210)=⫏≰-201112","reverse_text":"⫏≰-201112=((⫏≰110000211⊓⋫)⫦⪉⫏≰1101011⪬⫏≰10011111)⫯⪬∳(∷≠⫏≰12200111)⪬(⫏≰12112200∠⫱⫏≰10021102)⨫⇇↔(⫏≰102101221⊭↱⫏≰102202201+(≘⫏≰20022001))⪝((⫏≰21002121+⪬∐⫏≰21122220)↓⫏≰10111111∥⊢⊲⫏≰21211210)","cot":[{"info":"⫏≰110000211⊓⋫=⫏≰-110012120","layer":3},{"info":"⫏≰1101011⪬⫏≰10011111=⫏≰1200201","layer":3},{"info":"⫏≰-110012120⫦⪉⫏≰1200201=⫏≰1002200021","layer":2},{"info":"∷≠⫏≰12200111=⫏≰12200111","layer":3},{"info":"⫏≰12112200∠⫱⫏≰10021102=⫏≰1200201","layer":3},{"info":"⫏≰12200111⪬⫏≰1200201=⫏≰1200201","layer":2},{"info":"⫏≰1002200021⫯⪬∳⫏≰1200201=⫏≰12102201211","layer":1},{"info":"⫏≰102101221⊭↱⫏≰102202201=⫏≰201202","layer":3},{"info":"≘⫏≰20022001=⫏≰201001100102201","layer":3},{"info":"⫏≰201202+⫏≰201001100102201=⫏≰201001101011110","layer":2},{"info":"⫏≰21002121+⪬∐⫏≰21122220=⫏≰-210021210","layer":3},{"info":"⫏≰10111111∥⊢⊲⫏≰21211210=NaN","layer":3},{"info":"⫏≰-210021210↓NaN=⫏≰-11222","layer":2},{"info":"⫏≰201001101011110⪝⫏≰-11222=⫏≰-2211012112221102","layer":1},{"info":"⫏≰12102201211⨫⇇↔⫏≰-2211012112221102=⫏≰-201112","layer":0}]}
{"id":695,"expression_no_base_symbol":"(($1908$⩹$1826$)↺($4172$⫌⩹⨱))⨼⩣((⇜⊴$2233$)⫡⨏$1483$⫸⊐$2183$)∝(($1596$⪉⨛$3176$)⇄($1118$⨐⩸⫘$3175$))≄⊠($3059$⩒⫫$1138$)⩍⋽⫝̸($3770$⊭↱$1093$)","expression":"((⫏≰2121200⩹⫏≰2111122)↺(⫏≰12201112⫌⩹⨱))⨼⩣((⇜⊴⫏≰10001201)⫡⨏⫏≰2000221⫸⊐⫏≰2222212)∝((⫏≰2012010⪉⨛⫏≰11100122)⇄(⫏≰1112102⨐⩸⫘⫏≰11100121))≄⊠(⫏≰11012022⩒⫫⫏≰1120011)⩍⋽⫝̸(⫏≰12011122⊭↱⫏≰1111111)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7645762,"operation_count":15,"complexity_ratio":509717.4666666667,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1908,"base":3},"right_expr":{"type":"numeric_atoms","value":1826,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4172,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2233,"base":3}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1483,"base":3},"right_expr":{"type":"numeric_atoms","value":2183,"base":3}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1596,"base":3},"right_expr":{"type":"numeric_atoms","value":3176,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1118,"base":3},"right_expr":{"type":"numeric_atoms","value":3175,"base":3}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3059,"base":3},"right_expr":{"type":"numeric_atoms","value":1138,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3770,"base":3},"right_expr":{"type":"numeric_atoms","value":1093,"base":3}}}}},"used_operators":["cTDWOvIxvz","JxwMv5le6e","7j4O788W3g","2Wsdkap16l","EBcxylXtPf","QMFrweE19q","XwDhCwWbUn","mqXw5SEYmG","vXNesLlMH1","3EYGwJThht","EWw2JM7wp4","fu6greOZ01","BiWNJpBvwn","KFSx94NKJn","COABgblf1C"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3ViojmjbAp","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1908","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=1826, 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=1824","layer":3},{"info":"number node, value=4172","layer":4},{"info":"compute unary expreesion, input=4172, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9745","layer":3},{"info":"compute binary expreesion, left_input=1824, right_input=9745, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9745","layer":2},{"info":"number node, value=2233","layer":4},{"info":"compute unary expreesion, input=2233, 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=-513274","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=2183, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8607","layer":3},{"info":"compute binary expreesion, left_input=-513274, right_input=8607, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2548373","layer":2},{"info":"compute binary expreesion, left_input=9745, right_input=-2548373, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=1596","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=3176, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1827","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=3175","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=3175, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1827, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=3059","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=3059, right_input=1138, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2757","layer":3},{"info":"number node, value=3770","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=1093, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5349","layer":3},{"info":"compute binary expreesion, left_input=2757, right_input=-5349, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7633","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7633, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=126796","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=126796, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2121200⩹⫏≰2111122)↺(⫏≰12201112⫌⩹⨱))⨼⩣((⇜⊴⫏≰10001201)⫡⨏⫏≰2000221⫸⊐⫏≰2222212)∝((⫏≰2012010⪉⨛⫏≰11100122)⇄(⫏≰1112102⨐⩸⫘⫏≰11100121))≄⊠(⫏≰11012022⩒⫫⫏≰1120011)⩍⋽⫝̸(⫏≰12011122⊭↱⫏≰1111111)=NaN","reverse_text":"NaN=((⫏≰2121200⩹⫏≰2111122)↺(⫏≰12201112⫌⩹⨱))⨼⩣((⇜⊴⫏≰10001201)⫡⨏⫏≰2000221⫸⊐⫏≰2222212)∝((⫏≰2012010⪉⨛⫏≰11100122)⇄(⫏≰1112102⨐⩸⫘⫏≰11100121))≄⊠(⫏≰11012022⩒⫫⫏≰1120011)⩍⋽⫝̸(⫏≰12011122⊭↱⫏≰1111111)","cot":[{"info":"⫏≰2121200⩹⫏≰2111122=⫏≰2111120","layer":3},{"info":"⫏≰12201112⫌⩹⨱=⫏≰111100221","layer":3},{"info":"⫏≰2111120↺⫏≰111100221=⫏≰111100221","layer":2},{"info":"⇜⊴⫏≰10001201=⫏≰-222002002011","layer":3},{"info":"⫏≰2000221⫸⊐⫏≰2222212=⫏≰102210210","layer":3},{"info":"⫏≰-222002002011⫡⨏⫏≰102210210=⫏≰-11210110201012","layer":2},{"info":"⫏≰111100221⨼⩣⫏≰-11210110201012=NaN","layer":1},{"info":"⫏≰2012010⪉⨛⫏≰11100122=⫏≰2111200","layer":3},{"info":"⫏≰1112102⨐⩸⫘⫏≰11100121=NaN","layer":3},{"info":"⫏≰2111200⇄NaN=⫏≰0","layer":2},{"info":"⫏≰11012022⩒⫫⫏≰1120011=⫏≰10210010","layer":3},{"info":"⫏≰12011122⊭↱⫏≰1111111=⫏≰-21100010","layer":3},{"info":"⫏≰10210010⩍⋽⫝̸⫏≰-21100010=⫏≰101110201","layer":2},{"info":"⫏≰0≄⊠⫏≰101110201=⫏≰20102221011","layer":1},{"info":"NaN∝⫏≰20102221011=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"(≤/($2415$⫡⨏$3898$))⊢($1576$⩣⫁∢$1654$≒∊(∂⩏⊆$1025$))∀⇚≩(⇨($2150$⊨$3384$)⫗⊷⫓($1726$⨽$1595$))","expression":"(≤/(⫏≰10022110⫡⨏⫏≰12100101))⊢(⫏≰2011101⩣⫁∢⫏≰2021021≒∊(∂⩏⊆⫏≰1101222))∀⇚≩(⇨(⫏≰2221122⊨⫏≰11122100)⫗⊷⫓(⫏≰2100221⨽⫏≰2012002))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":284068,"operation_count":11,"complexity_ratio":25824.363636363636,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2415,"base":3},"right_expr":{"type":"numeric_atoms","value":3898,"base":3}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1576,"base":3},"right_expr":{"type":"numeric_atoms","value":1654,"base":3}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1025,"base":3}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2150,"base":3},"right_expr":{"type":"numeric_atoms","value":3384,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1726,"base":3},"right_expr":{"type":"numeric_atoms","value":1595,"base":3}}}}},"used_operators":["LRNGc0VcxI","5twsqlHp2o","eLAdDNolq6","QMFrweE19q","5KTvxBwnZo","JDUIKTTSIa","8WDwsbhb0R","G9tJMlZ94a","zashukvMKz","vg4gO5BX6G","8HhzD0ZcuI"],"dependent_operators":["X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","14qkJME0vr","eLAdDNolq6","k8jYdgA6NY","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2415","layer":4},{"info":"number node, value=3898","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=3898, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20654","layer":3},{"info":"compute unary expreesion, input=20654, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-20170","layer":2},{"info":"number node, value=1576","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=1654, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2991","layer":3},{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3154","layer":3},{"info":"compute binary expreesion, left_input=-2991, right_input=-3154, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=3475","layer":2},{"info":"compute binary expreesion, left_input=-20170, right_input=3475, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=40096","layer":1},{"info":"number node, value=2150","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=3384, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9631","layer":3},{"info":"number node, value=1726","layer":4},{"info":"number node, value=1595","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=1595, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8940699","layer":3},{"info":"compute binary expreesion, left_input=9631, right_input=-8940699, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=40096, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≤/(⫏≰10022110⫡⨏⫏≰12100101))⊢(⫏≰2011101⩣⫁∢⫏≰2021021≒∊(∂⩏⊆⫏≰1101222))∀⇚≩(⇨(⫏≰2221122⊨⫏≰11122100)⫗⊷⫓(⫏≰2100221⨽⫏≰2012002))=NaN","reverse_text":"NaN=(≤/(⫏≰10022110⫡⨏⫏≰12100101))⊢(⫏≰2011101⩣⫁∢⫏≰2021021≒∊(∂⩏⊆⫏≰1101222))∀⇚≩(⇨(⫏≰2221122⊨⫏≰11122100)⫗⊷⫓(⫏≰2100221⨽⫏≰2012002))","cot":[{"info":"⫏≰10022110⫡⨏⫏≰12100101=⫏≰1001022222","layer":3},{"info":"≤/⫏≰1001022222=⫏≰-1000200001","layer":2},{"info":"⫏≰2011101⩣⫁∢⫏≰2021021=⫏≰-11002210","layer":3},{"info":"∂⩏⊆⫏≰1101222=⫏≰-11022211","layer":3},{"info":"⫏≰-11002210≒∊⫏≰-11022211=⫏≰11202201","layer":2},{"info":"⫏≰-1000200001⊢⫏≰11202201=⫏≰2001000001","layer":1},{"info":"⫏≰2221122⊨⫏≰11122100=⫏≰111012201","layer":3},{"info":"⫏≰2100221⨽⫏≰2012002=⫏≰-121211020100000","layer":3},{"info":"⫏≰111012201⫗⊷⫓⫏≰-121211020100000=⫏≰-11222","layer":2},{"info":"⇨⫏≰-11222=⫏≰0","layer":1},{"info":"⫏≰2001000001∀⇚≩⫏≰0=NaN","layer":0}]}
{"id":697,"expression_no_base_symbol":"($3340$⇄$1017$⪛⫼$5127$∋$6928$)≄⊠($2642$⩍⋽⫝̸$5172$⫸⊐($7459$⫃⨇$2877$))⪶≀⋏(⩰(⊖∈$5508$)⪶≀⋏(≀↧⇸$3058$))","expression":"(⫏≰11120201⇄⫏≰1101200⪛⫼⫏≰21000220∋⫏≰100111121)≄⊠(⫏≰10121212⩍⋽⫝̸⫏≰21002120⫸⊐(⫏≰101020021⫃⨇⫏≰10221120))⪶≀⋏(⩰(⊖∈⫏≰21120000)⪶≀⋏(≀↧⇸⫏≰11012021))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":407,"operation_count":12,"complexity_ratio":33.916666666666664,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3340,"base":3},"right_expr":{"type":"numeric_atoms","value":1017,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5127,"base":3},"right_expr":{"type":"numeric_atoms","value":6928,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2642,"base":3},"right_expr":{"type":"numeric_atoms","value":5172,"base":3}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7459,"base":3},"right_expr":{"type":"numeric_atoms","value":2877,"base":3}}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5508,"base":3}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3058,"base":3}}}}},"used_operators":["zR4jO40bMj","vXNesLlMH1","hyuBjUqXlG","3EYGwJThht","ukq6epAj5P","mqXw5SEYmG","BiWNJpBvwn","09Ly4LVMIf","WkeUrDK8WX","YFxL8Sc2Zy","ljTHtUsqzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","XPYlsWDdGa","23Mk6UjR3U"],"result":"⫏≰-2110102101111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3340","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=1017, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=5127","layer":4},{"info":"number node, value=6928","layer":4},{"info":"compute binary expreesion, left_input=5127, right_input=6928, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=14567748","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14567748, 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":2},{"info":"number node, value=2642","layer":4},{"info":"number node, value=5172","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=5172, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4226","layer":3},{"info":"number node, value=7459","layer":4},{"info":"number node, value=2877","layer":4},{"info":"compute binary expreesion, left_input=7459, right_input=2877, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11540","layer":3},{"info":"compute binary expreesion, left_input=4226, right_input=-11540, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-23209","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-23209, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=5508","layer":4},{"info":"compute unary expreesion, input=5508, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=104566","layer":3},{"info":"number node, value=3058","layer":4},{"info":"compute unary expreesion, input=3058, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=6116","layer":3},{"info":"compute binary expreesion, left_input=104566, right_input=6116, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-326162","layer":2},{"info":"compute unary expreesion, input=-326162, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=651324","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=651324, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-1307380","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11120201⇄⫏≰1101200⪛⫼⫏≰21000220∋⫏≰100111121)≄⊠(⫏≰10121212⩍⋽⫝̸⫏≰21002120⫸⊐(⫏≰101020021⫃⨇⫏≰10221120))⪶≀⋏(⩰(⊖∈⫏≰21120000)⪶≀⋏(≀↧⇸⫏≰11012021))=⫏≰-2110102101111","reverse_text":"⫏≰-2110102101111=(⫏≰11120201⇄⫏≰1101200⪛⫼⫏≰21000220∋⫏≰100111121)≄⊠(⫏≰10121212⩍⋽⫝̸⫏≰21002120⫸⊐(⫏≰101020021⫃⨇⫏≰10221120))⪶≀⋏(⩰(⊖∈⫏≰21120000)⪶≀⋏(≀↧⇸⫏≰11012021))","cot":[{"info":"⫏≰11120201⇄⫏≰1101200=⫏≰0","layer":3},{"info":"⫏≰21000220∋⫏≰100111121=⫏≰1000102010012020","layer":3},{"info":"⫏≰0⪛⫼⫏≰1000102010012020=⫏≰1022212","layer":2},{"info":"⫏≰10121212⩍⋽⫝̸⫏≰21002120=⫏≰12210112","layer":3},{"info":"⫏≰101020021⫃⨇⫏≰10221120=⫏≰-120211102","layer":3},{"info":"⫏≰12210112⫸⊐⫏≰-120211102=⫏≰-1011211121","layer":2},{"info":"⫏≰1022212≄⊠⫏≰-1011211121=⫏≰2001120","layer":1},{"info":"⊖∈⫏≰21120000=⫏≰12022102211","layer":3},{"info":"≀↧⇸⫏≰11012021=⫏≰22101112","layer":3},{"info":"⫏≰12022102211⪶≀⋏⫏≰22101112=⫏≰-121120102002","layer":2},{"info":"⩰⫏≰-121120102002=⫏≰1020002110010","layer":1},{"info":"⫏≰2001120⪶≀⋏⫏≰1020002110010=⫏≰-2110102101111","layer":0}]}
{"id":698,"expression_no_base_symbol":"(⊗(≸$1609$))⩨($5695$⨔⇊$3467$⪁(⇐$2602$))⪒($2442$⨳⩥⨓$2122$⪉⨛$3639$≧⫂∧$1101$)⇴∐($3179$⨎$1289$≬⇓$5856$⊔$1713$)","expression":"(⊗(≸⫏≰2012121))⩨(⫏≰21210221⨔⇊⫏≰11202102⪁(⇐⫏≰10120101))⪒(⫏≰10100110⨳⩥⨓⫏≰2220121⪉⨛⫏≰11222210≧⫂∧⫏≰1111210)⇴∐(⫏≰11100202⨎⫏≰1202202≬⇓⫏≰22000220⊔⫏≰2100110)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":82968729,"operation_count":14,"complexity_ratio":5926337.785714285,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1609,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5695,"base":3},"right_expr":{"type":"numeric_atoms","value":3467,"base":3}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2602,"base":3}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2442,"base":3},"right_expr":{"type":"numeric_atoms","value":2122,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3639,"base":3},"right_expr":{"type":"numeric_atoms","value":1101,"base":3}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3179,"base":3},"right_expr":{"type":"numeric_atoms","value":1289,"base":3}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5856,"base":3},"right_expr":{"type":"numeric_atoms","value":1713,"base":3}}}}},"used_operators":["f6k1SAg4EE","2DlMacCsIx","RhiyfpczSx","eOf03JbCpp","I7sXao9hZE","JclMnS0uGI","nmZMaaE0Q9","HnzytWxmAO","EWw2JM7wp4","nCS4ZIUYfx","Ph9nP6C5qx","jWTQ2TZYIH","rJVOvQCfKK","E4l6HwMY31"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, 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":3},{"info":"compute unary expreesion, input=58, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=322","layer":2},{"info":"number node, value=5695","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=5695, right_input=3467, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3467","layer":3},{"info":"number node, value=2602","layer":4},{"info":"compute unary expreesion, input=2602, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2838","layer":3},{"info":"compute binary expreesion, left_input=3467, right_input=2838, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=322, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2442","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=2122, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-320","layer":3},{"info":"number node, value=3639","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=1101, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=628","layer":3},{"info":"compute binary expreesion, left_input=-320, right_input=628, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-2629","layer":2},{"info":"number node, value=3179","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=3179, right_input=1289, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1289","layer":3},{"info":"number node, value=5856","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=5856, right_input=1713, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=17877","layer":3},{"info":"compute binary expreesion, left_input=1289, right_input=17877, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-2629, right_input=-22, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊗(≸⫏≰2012121))⩨(⫏≰21210221⨔⇊⫏≰11202102⪁(⇐⫏≰10120101))⪒(⫏≰10100110⨳⩥⨓⫏≰2220121⪉⨛⫏≰11222210≧⫂∧⫏≰1111210)⇴∐(⫏≰11100202⨎⫏≰1202202≬⇓⫏≰22000220⊔⫏≰2100110)=NaN","reverse_text":"NaN=(⊗(≸⫏≰2012121))⩨(⫏≰21210221⨔⇊⫏≰11202102⪁(⇐⫏≰10120101))⪒(⫏≰10100110⨳⩥⨓⫏≰2220121⪉⨛⫏≰11222210≧⫂∧⫏≰1111210)⇴∐(⫏≰11100202⨎⫏≰1202202≬⇓⫏≰22000220⊔⫏≰2100110)","cot":[{"info":"≸⫏≰2012121=⫏≰2011","layer":3},{"info":"⊗⫏≰2011=⫏≰102221","layer":2},{"info":"⫏≰21210221⨔⇊⫏≰11202102=⫏≰11202102","layer":3},{"info":"⇐⫏≰10120101=⫏≰10220010","layer":3},{"info":"⫏≰11202102⪁⫏≰10220010=NaN","layer":2},{"info":"⫏≰102221⩨NaN=NaN","layer":1},{"info":"⫏≰10100110⨳⩥⨓⫏≰2220121=⫏≰-102212","layer":3},{"info":"⫏≰11222210≧⫂∧⫏≰1111210=⫏≰212021","layer":3},{"info":"⫏≰-102212⪉⨛⫏≰212021=⫏≰-10121101","layer":2},{"info":"⫏≰11100202⨎⫏≰1202202=⫏≰1202202","layer":3},{"info":"⫏≰22000220⊔⫏≰2100110=⫏≰220112010","layer":3},{"info":"⫏≰1202202≬⇓⫏≰220112010=⫏≰-211","layer":2},{"info":"⫏≰-10121101⇴∐⫏≰-211=⫏≰-11022","layer":1},{"info":"NaN⪒⫏≰-11022=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"((↪⫪⫘(⪁⇼$2567$))⪄(⨭⩧⫛($6511$∣$6777$)))⩺⪪((⊖$3865$⪥$3008$)↫)","expression":"((↪⫪⫘(⪁⇼⫏≰10112002))⪄(⨭⩧⫛(⫏≰22221011∣⫏≰100022000)))⩺⪪((⊖⫏≰12022011⪥⫏≰11010102)↫)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":389,"operation_count":9,"complexity_ratio":43.22222222222222,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":2567,"base":3}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6511,"base":3},"right_expr":{"type":"numeric_atoms","value":6777,"base":3}}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3865,"base":3},"right_expr":{"type":"numeric_atoms","value":3008,"base":3}}}}},"used_operators":["uvdQJvN4PV","SUmda5xLS4","9dWsAM3GFt","ZNVVrZ94lY","g21JL6JxX7","PPChnnnBFF","uPb5QRN0te","U6pG0PXrV3","QbnwKVWMIQ"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2567","layer":4},{"info":"compute unary expreesion, input=2567, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=6511","layer":4},{"info":"number node, value=6777","layer":4},{"info":"compute binary expreesion, left_input=6511, right_input=6777, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6511","layer":3},{"info":"compute unary expreesion, input=6511, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=3865","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=3008, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=20112","layer":3},{"info":"compute unary expreesion, input=20112, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↪⫪⫘(⪁⇼⫏≰10112002))⪄(⨭⩧⫛(⫏≰22221011∣⫏≰100022000)))⩺⪪((⊖⫏≰12022011⪥⫏≰11010102)↫)=NaN","reverse_text":"NaN=((↪⫪⫘(⪁⇼⫏≰10112002))⪄(⨭⩧⫛(⫏≰22221011∣⫏≰100022000)))⩺⪪((⊖⫏≰12022011⪥⫏≰11010102)↫)","cot":[{"info":"⪁⇼⫏≰10112002=⫏≰120122","layer":3},{"info":"↪⫪⫘⫏≰120122=⫏≰202","layer":2},{"info":"⫏≰22221011∣⫏≰100022000=⫏≰22221011","layer":3},{"info":"⨭⩧⫛⫏≰22221011=NaN","layer":2},{"info":"⫏≰202⪄NaN=NaN","layer":1},{"info":"⫏≰12022011⪥⫏≰11010102=⫏≰1000120220","layer":3},{"info":"⊖⫏≰1000120220=⫏≰0","layer":2},{"info":"⫏≰0↫=⫏≰12221","layer":1},{"info":"NaN⩺⪪⫏≰12221=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"((($1244$⫡⨏$3459$)∝$1823$∑⇟⊟$5630$)⪗)⪇≇⋚((⊖$1934$)∛≔)⪒⊣⊆(⩷⨜⫀(⨵$4269$))","expression":"(((⫏≰1201002⫡⨏⫏≰11202010)∝⫏≰2111112∑⇟⊟⫏≰21201112)⪗)⪇≇⋚((⊖⫏≰2122122)∛≔)⪒⊣⊆(⩷⨜⫀(⨵⫏≰12212010))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":434,"operation_count":10,"complexity_ratio":43.4,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1244,"base":3},"right_expr":{"type":"numeric_atoms","value":3459,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1823,"base":3},"right_expr":{"type":"numeric_atoms","value":5630,"base":3}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1934,"base":3}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":4269,"base":3}}}}},"used_operators":["3sJ7IOPOlU","VEQNXA0ZBg","cTDWOvIxvz","QMFrweE19q","U7g4x0WXJJ","eRqsBgTDFp","mGnSCrte3L","U6pG0PXrV3","CDi0ktkjQ4","Tl3Y52tvF8"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","dWAJyo7jo9","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","ruOEQAzv1W","nhYeJWJD5X","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=3459","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=3459, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13921","layer":3},{"info":"number node, value=1823","layer":4},{"info":"number node, value=5630","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=5630, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13921, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"number node, value=4269","layer":4},{"info":"compute unary expreesion, input=4269, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-35361","layer":3},{"info":"compute unary expreesion, input=-35361, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=-305287, right_input=-766, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=609144","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=609144, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1201002⫡⨏⫏≰11202010)∝⫏≰2111112∑⇟⊟⫏≰21201112)⪗)⪇≇⋚((⊖⫏≰2122122)∛≔)⪒⊣⊆(⩷⨜⫀(⨵⫏≰12212010))=NaN","reverse_text":"NaN=(((⫏≰1201002⫡⨏⫏≰11202010)∝⫏≰2111112∑⇟⊟⫏≰21201112)⪗)⪇≇⋚((⊖⫏≰2122122)∛≔)⪒⊣⊆(⩷⨜⫀(⨵⫏≰12212010))","cot":[{"info":"⫏≰1201002⫡⨏⫏≰11202010=⫏≰201002121","layer":3},{"info":"⫏≰2111112∑⇟⊟⫏≰21201112=NaN","layer":3},{"info":"⫏≰201002121∝NaN=NaN","layer":2},{"info":"NaN⪗=NaN","layer":1},{"info":"⊖⫏≰2122122=⫏≰0","layer":3},{"info":"⫏≰0∛≔=⫏≰-120111202221","layer":2},{"info":"⨵⫏≰12212010=⫏≰-1210111200","layer":3},{"info":"⩷⨜⫀⫏≰-1210111200=⫏≰-1001101","layer":2},{"info":"⫏≰-120111202221⪒⊣⊆⫏≰-1001101=⫏≰1010221120220","layer":1},{"info":"NaN⪇≇⋚⫏≰1010221120220=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"⪛⨧((⨮↦↱(⊬↢$4438$))≬⋮($1790$⨻⩈⩔$2676$)≎⪠($9296$⪗))","expression":"⪛⨧((⨮↦↱(⊬↢⫏≰20002101))≬⋮(⫏≰2110022⨻⩈⩔⫏≰10200010)≎⪠(⫏≰110202022⪗))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33542,"operation_count":7,"complexity_ratio":4791.714285714285,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4438,"base":3}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1790,"base":3},"right_expr":{"type":"numeric_atoms","value":2676,"base":3}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":9296,"base":3}}}}},"used_operators":["6NJAcO2OWT","kbkesczE7y","sYcpBQ0cFf","WPoGxAaPR1","aNhz54LH3e","nEsXyWgiOK","VEQNXA0ZBg"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","dWAJyo7jo9"],"result":"⫏≰11022012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4438","layer":4},{"info":"compute unary expreesion, input=4438, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-694086","layer":2},{"info":"number node, value=1790","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=2676, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5919","layer":3},{"info":"number node, value=9296","layer":4},{"info":"compute unary expreesion, input=9296, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5919, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=-694086, right_input=19558, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3137","layer":0}],"base":3,"result_base":3,"text":"⪛⨧((⨮↦↱(⊬↢⫏≰20002101))≬⋮(⫏≰2110022⨻⩈⩔⫏≰10200010)≎⪠(⫏≰110202022⪗))=⫏≰11022012","reverse_text":"⫏≰11022012=⪛⨧((⨮↦↱(⊬↢⫏≰20002101))≬⋮(⫏≰2110022⨻⩈⩔⫏≰10200010)≎⪠(⫏≰110202022⪗))","cot":[{"info":"⊬↢⫏≰20002101=⫏≰22002","layer":3},{"info":"⨮↦↱⫏≰22002=⫏≰-1022021002220","layer":2},{"info":"⫏≰2110022⨻⩈⩔⫏≰10200010=⫏≰22010020","layer":3},{"info":"⫏≰110202022⪗=NaN","layer":3},{"info":"⫏≰22010020≎⪠NaN=⫏≰222211101","layer":2},{"info":"⫏≰-1022021002220≬⋮⫏≰222211101=⫏≰1012011","layer":1},{"info":"⪛⨧⫏≰1012011=⫏≰11022012","layer":0}]}
{"id":702,"expression_no_base_symbol":"((⩩($1436$⪄$2946$))⪶≀⋏($1811$≚⊃≕$1959$)+⪬∐(⨴⫝$2333$))⪘⫢($4832$⪔⊥$1302$⪇≇⋚$8458$⫁$5274$)⪘⫢(⋎⨆$4648$)⨚⇆($2934$/$1799$)","expression":"((⩩(⫏≰1222012⪄⫏≰11001010))⪶≀⋏(⫏≰2111002≚⊃≕⫏≰2200120)+⪬∐(⨴⫝⫏≰10012102))⪘⫢(⫏≰20121222⪔⊥⫏≰1210020⪇≇⋚⫏≰102121021⫁⫏≰21020100)⪘⫢(⋎⨆⫏≰20101011)⨚⇆(⫏≰11000200/⫏≰2110122)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":223493,"operation_count":14,"complexity_ratio":15963.785714285714,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1436,"base":3},"right_expr":{"type":"numeric_atoms","value":2946,"base":3}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1811,"base":3},"right_expr":{"type":"numeric_atoms","value":1959,"base":3}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2333,"base":3}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4832,"base":3},"right_expr":{"type":"numeric_atoms","value":1302,"base":3}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":8458,"base":3},"right_expr":{"type":"numeric_atoms","value":5274,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":4648,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2934,"base":3},"right_expr":{"type":"numeric_atoms","value":1799,"base":3}}}}},"used_operators":["oacrs7FA3X","zR4jO40bMj","kMhfGuqI2H","SUmda5xLS4","2GS7woTJqF","Bmrmz2XGnR","SVb2v531z1","3sJ7IOPOlU","HJ9erzHUuu","0ajvFaJAv0","lwHaAYXP2r","E64sFOc4tB","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1436","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=2946, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-220401","layer":3},{"info":"compute unary expreesion, input=-220401, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1811","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=1959, 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":3},{"info":"number node, value=2333","layer":4},{"info":"compute unary expreesion, input=2333, 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":3},{"info":"compute binary expreesion, left_input=67, right_input=2828198, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-201","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-201, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=4832","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=4832, right_input=1302, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=16525","layer":3},{"info":"number node, value=8458","layer":4},{"info":"number node, value=5274","layer":4},{"info":"compute binary expreesion, left_input=8458, right_input=5274, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=16525, right_input=160, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=4648","layer":4},{"info":"compute unary expreesion, input=4648, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2934","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=1799, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=8514","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8514, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1156, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⩩(⫏≰1222012⪄⫏≰11001010))⪶≀⋏(⫏≰2111002≚⊃≕⫏≰2200120)+⪬∐(⨴⫝⫏≰10012102))⪘⫢(⫏≰20121222⪔⊥⫏≰1210020⪇≇⋚⫏≰102121021⫁⫏≰21020100)⪘⫢(⋎⨆⫏≰20101011)⨚⇆(⫏≰11000200/⫏≰2110122)=NaN","reverse_text":"NaN=((⩩(⫏≰1222012⪄⫏≰11001010))⪶≀⋏(⫏≰2111002≚⊃≕⫏≰2200120)+⪬∐(⨴⫝⫏≰10012102))⪘⫢(⫏≰20121222⪔⊥⫏≰1210020⪇≇⋚⫏≰102121021⫁⫏≰21020100)⪘⫢(⋎⨆⫏≰20101011)⨚⇆(⫏≰11000200/⫏≰2110122)","cot":[{"info":"⫏≰1222012⪄⫏≰11001010=⫏≰-102012100000","layer":3},{"info":"⩩⫏≰-102012100000=NaN","layer":2},{"info":"⫏≰2111002≚⊃≕⫏≰2200120=⫏≰2111","layer":3},{"info":"⨴⫝⫏≰10012102=⫏≰12022200120002","layer":3},{"info":"⫏≰2111+⪬∐⫏≰12022200120002=⫏≰-21110","layer":2},{"info":"NaN⪶≀⋏⫏≰-21110=NaN","layer":1},{"info":"⫏≰20121222⪔⊥⫏≰1210020=⫏≰211200001","layer":3},{"info":"⫏≰102121021⫁⫏≰21020100=⫏≰12221","layer":3},{"info":"⫏≰211200001⪇≇⋚⫏≰12221=⫏≰0","layer":2},{"info":"⋎⨆⫏≰20101011=⫏≰0","layer":3},{"info":"⫏≰11000200/⫏≰2110122=⫏≰1","layer":3},{"info":"⫏≰0⨚⇆⫏≰1=⫏≰102200100","layer":2},{"info":"⫏≰0⪘⫢⫏≰102200100=⫏≰-1120211","layer":1},{"info":"NaN⪘⫢⫏≰-1120211=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"⊑(($2461$⫥∨⫟$5722$⩨($5962$⪬∳))⨓($1234$⪄$7074$)⊲⩕⊾($3944$⨔≚≋$1974$))","expression":"⊑((⫏≰10101011⫥∨⫟⫏≰21211221⩨(⫏≰22011211⪬∳))⨓(⫏≰1200201⪄⫏≰100201000)⊲⩕⊾(⫏≰12102002⨔≚≋⫏≰2201010))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":468850,"operation_count":8,"complexity_ratio":58606.25,"tree":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2461,"base":3},"right_expr":{"type":"numeric_atoms","value":5722,"base":3}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":5962,"base":3}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1234,"base":3},"right_expr":{"type":"numeric_atoms","value":7074,"base":3}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3944,"base":3},"right_expr":{"type":"numeric_atoms","value":1974,"base":3}}}}},"used_operators":["IkUmn0D7oy","3ViojmjbAp","2DlMacCsIx","KYD54nUTWz","O9U3z1385E","DmTXOeWf9t","SUmda5xLS4","Z57zeUYC9z"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⫏≰21010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2461","layer":4},{"info":"number node, value=5722","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=5722, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5962","layer":4},{"info":"compute unary expreesion, input=5962, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-709, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1234","layer":4},{"info":"number node, value=7074","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=7074, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-207017","layer":3},{"info":"number node, value=3944","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=1974, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-207017, right_input=9872, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-450068","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-450068, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=450065","layer":1},{"info":"compute unary expreesion, input=450065, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":3,"result_base":3,"text":"⊑((⫏≰10101011⫥∨⫟⫏≰21211221⩨(⫏≰22011211⪬∳))⨓(⫏≰1200201⪄⫏≰100201000)⊲⩕⊾(⫏≰12102002⨔≚≋⫏≰2201010))=⫏≰21010","reverse_text":"⫏≰21010=⊑((⫏≰10101011⫥∨⫟⫏≰21211221⩨(⫏≰22011211⪬∳))⨓(⫏≰1200201⪄⫏≰100201000)⊲⩕⊾(⫏≰12102002⨔≚≋⫏≰2201010))","cot":[{"info":"⫏≰10101011⫥∨⫟⫏≰21211221=NaN","layer":3},{"info":"⫏≰22011211⪬∳=⫏≰-222021","layer":3},{"info":"NaN⩨⫏≰-222021=NaN","layer":2},{"info":"⫏≰1200201⪄⫏≰100201000=⫏≰-101111222022","layer":3},{"info":"⫏≰12102002⨔≚≋⫏≰2201010=⫏≰111112122","layer":3},{"info":"⫏≰-101111222022⊲⩕⊾⫏≰111112122=⫏≰-211212101012","layer":2},{"info":"NaN⨓⫏≰-211212101012=⫏≰211212101002","layer":1},{"info":"⊑⫏≰211212101002=⫏≰21010","layer":0}]}
{"id":704,"expression_no_base_symbol":"⩎⋉((↴⪽⋼$5263$⇡⇂$3728$)⨥⫆(⊆⋠($4556$⨸⪁$5582$)))","expression":"⩎⋉((↴⪽⋼⫏≰21012221⇡⇂⫏≰12010002)⨥⫆(⊆⋠(⫏≰20020202⨸⪁⫏≰21122202)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20972,"operation_count":6,"complexity_ratio":3495.3333333333335,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5263,"base":3},"right_expr":{"type":"numeric_atoms","value":3728,"base":3}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4556,"base":3},"right_expr":{"type":"numeric_atoms","value":5582,"base":3}}}}},"used_operators":["FlXk3pOYe8","yXekIHxTD4","5TUYCnJO6w","UMwdvZNt44","EBhcHTkKd8","g55IO6H4Gj"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5263","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=3728, 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":3},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":2},{"info":"number node, value=4556","layer":4},{"info":"number node, value=5582","layer":4},{"info":"compute binary expreesion, left_input=4556, right_input=5582, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20276","layer":3},{"info":"compute unary expreesion, input=20276, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"⩎⋉((↴⪽⋼⫏≰21012221⇡⇂⫏≰12010002)⨥⫆(⊆⋠(⫏≰20020202⨸⪁⫏≰21122202)))=NaN","reverse_text":"NaN=⩎⋉((↴⪽⋼⫏≰21012221⇡⇂⫏≰12010002)⨥⫆(⊆⋠(⫏≰20020202⨸⪁⫏≰21122202)))","cot":[{"info":"⫏≰21012221⇡⇂⫏≰12010002=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"⫏≰20020202⨸⪁⫏≰21122202=⫏≰1000210222","layer":3},{"info":"⊆⋠⫏≰1000210222=⫏≰0","layer":2},{"info":"NaN⨥⫆⫏≰0=NaN","layer":1},{"info":"⩎⋉NaN=NaN","layer":0}]}
{"id":705,"expression_no_base_symbol":"(($4252$⫚↹⊑$1358$)⋝⋈⪟$6501$⨓$5138$∠⫱($3906$≀⫉$4441$)≦↸(⇨$1608$))⫁(⨈⫕(↨⩢⫨$1269$∣$2887$))","expression":"((⫏≰12211111⫚↹⊑⫏≰1212022)⋝⋈⪟⫏≰22220210⨓⫏≰21001022∠⫱(⫏≰12100200≀⫉⫏≰20002111)≦↸(⇨⫏≰2012120))⫁(⨈⫕(↨⩢⫨⫏≰1202000∣⫏≰10221221))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5903,"operation_count":11,"complexity_ratio":536.6363636363636,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4252,"base":3},"right_expr":{"type":"numeric_atoms","value":1358,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6501,"base":3},"right_expr":{"type":"numeric_atoms","value":5138,"base":3}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3906,"base":3},"right_expr":{"type":"numeric_atoms","value":4441,"base":3}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1608,"base":3}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1269,"base":3},"right_expr":{"type":"numeric_atoms","value":2887,"base":3}}}}},"used_operators":["0ajvFaJAv0","QvoQhV0rrE","2DDjHMKMc0","dfKe02y8D2","3ViojmjbAp","RygbFNSyEJ","oZj3VtZNQx","G9tJMlZ94a","megm06wKyl","Z5CJsN7DuW","PPChnnnBFF"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4252","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=4252, right_input=1358, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=6501","layer":4},{"info":"number node, value=5138","layer":4},{"info":"compute binary expreesion, left_input=6501, right_input=5138, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5141","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-5141, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-447","layer":2},{"info":"number node, value=3906","layer":4},{"info":"number node, value=4441","layer":4},{"info":"compute binary expreesion, left_input=3906, right_input=4441, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4963","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-4963, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=4516","layer":1},{"info":"number node, value=1269","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=2887, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1269","layer":3},{"info":"compute unary expreesion, input=1269, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=4516, right_input=-21, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12211111⫚↹⊑⫏≰1212022)⋝⋈⪟⫏≰22220210⨓⫏≰21001022∠⫱(⫏≰12100200≀⫉⫏≰20002111)≦↸(⇨⫏≰2012120))⫁(⨈⫕(↨⩢⫨⫏≰1202000∣⫏≰10221221))=⫏≰12221","reverse_text":"⫏≰12221=((⫏≰12211111⫚↹⊑⫏≰1212022)⋝⋈⪟⫏≰22220210⨓⫏≰21001022∠⫱(⫏≰12100200≀⫉⫏≰20002111)≦↸(⇨⫏≰2012120))⫁(⨈⫕(↨⩢⫨⫏≰1202000∣⫏≰10221221))","cot":[{"info":"⫏≰12211111⫚↹⊑⫏≰1212022=⫏≰-121120","layer":3},{"info":"⫏≰22220210⨓⫏≰21001022=⫏≰-21001102","layer":3},{"info":"⫏≰-121120⋝⋈⪟⫏≰-21001102=⫏≰-121120","layer":2},{"info":"⫏≰12100200≀⫉⫏≰20002111=⫏≰10212112","layer":3},{"info":"⇨⫏≰2012120=⫏≰0","layer":3},{"info":"⫏≰10212112≦↸⫏≰0=⫏≰-20210211","layer":2},{"info":"⫏≰-121120∠⫱⫏≰-20210211=⫏≰20012021","layer":1},{"info":"⫏≰1202000∣⫏≰10221221=⫏≰1202000","layer":3},{"info":"↨⩢⫨⫏≰1202000=⫏≰0","layer":2},{"info":"⨈⫕⫏≰0=⫏≰-210","layer":1},{"info":"⫏≰20012021⫁⫏≰-210=⫏≰12221","layer":0}]}
{"id":706,"expression_no_base_symbol":"(≸≮($4340$⊍⩺⋍$3894$))↓(↣≠⋷$2411$∛$3215$)⩌⋺((-($6059$⨵⪆$2794$))⪁($4480$↱$1728$)∥⊢⊲($6990$⨰$1427$))","expression":"(≸≮(⫏≰12221202⊍⩺⋍⫏≰12100020))↓(↣≠⋷⫏≰10022022∛⫏≰11102002)⩌⋺((-(⫏≰22022102⨵⪆⫏≰10211111))⪁(⫏≰20010221↱⫏≰2101000)∥⊢⊲(⫏≰100120220⨰⫏≰1221212))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":411594153,"operation_count":12,"complexity_ratio":34299512.75,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4340,"base":3},"right_expr":{"type":"numeric_atoms","value":3894,"base":3}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2411,"base":3},"right_expr":{"type":"numeric_atoms","value":3215,"base":3}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6059,"base":3},"right_expr":{"type":"numeric_atoms","value":2794,"base":3}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4480,"base":3},"right_expr":{"type":"numeric_atoms","value":1728,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6990,"base":3},"right_expr":{"type":"numeric_atoms","value":1427,"base":3}}}}},"used_operators":["g7Hmc5v1ko","Af076pWI7l","AljMvE3RRm","OXDGMFPWZM","Asc51vEJeQ","w2537kitQq","I7sXao9hZE","t8gj7n24qd","2DQ55sFlQl","v1UQAVDJRr","SR5kFfdi6N","eewbuw0ToL"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XhwjNDsVaA","AHs5Up7iyr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4340","layer":4},{"info":"number node, value=3894","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=3894, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"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":2},{"info":"number node, value=2411","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=3215, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=6059","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=6059, right_input=2794, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-160","layer":2},{"info":"number node, value=4480","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=4480, right_input=1728, 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=-4662","layer":3},{"info":"number node, value=6990","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=6990, right_input=1427, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5573","layer":3},{"info":"compute binary expreesion, left_input=-4662, right_input=5573, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=5573","layer":2},{"info":"compute binary expreesion, left_input=-160, right_input=5573, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"(≸≮(⫏≰12221202⊍⩺⋍⫏≰12100020))↓(↣≠⋷⫏≰10022022∛⫏≰11102002)⩌⋺((-(⫏≰22022102⨵⪆⫏≰10211111))⪁(⫏≰20010221↱⫏≰2101000)∥⊢⊲(⫏≰100120220⨰⫏≰1221212))=NaN","reverse_text":"NaN=(≸≮(⫏≰12221202⊍⩺⋍⫏≰12100020))↓(↣≠⋷⫏≰10022022∛⫏≰11102002)⩌⋺((-(⫏≰22022102⨵⪆⫏≰10211111))⪁(⫏≰20010221↱⫏≰2101000)∥⊢⊲(⫏≰100120220⨰⫏≰1221212))","cot":[{"info":"⫏≰12221202⊍⩺⋍⫏≰12100020=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"⫏≰10022022∛⫏≰11102002=⫏≰-220211","layer":3},{"info":"↣≠⋷⫏≰-220211=NaN","layer":2},{"info":"NaN↓NaN=⫏≰-11222","layer":1},{"info":"⫏≰22022102⨵⪆⫏≰10211111=⫏≰12221","layer":3},{"info":"-⫏≰12221=⫏≰-12221","layer":2},{"info":"⫏≰20010221↱⫏≰2101000=⫏≰-20101200","layer":3},{"info":"⫏≰100120220⨰⫏≰1221212=⫏≰21122102","layer":3},{"info":"⫏≰-20101200∥⊢⊲⫏≰21122102=⫏≰21122102","layer":2},{"info":"⫏≰-12221⪁⫏≰21122102=NaN","layer":1},{"info":"⫏≰-11222⩌⋺NaN=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"($2695$∌$2445$≃($3878$⊍⩺⋍$2469$))∋($1398$≬⇓$2152$)⨑⩅≇$2188$⊕∕$4912$⪭≯($1015$⨰$2743$↡⊰⫅$3053$≨$1688$)↢(∷≠($3659$⪒$1436$))","expression":"(⫏≰10200211∌⫏≰10100120≃(⫏≰12022122⊍⩺⋍⫏≰10101110))∋(⫏≰1220210≬⇓⫏≰2221201)⨑⩅≇⫏≰10000001⊕∕⫏≰20201221⪭≯(⫏≰1101121⨰⫏≰10202121↡⊰⫅⫏≰11012002≨⫏≰2022112)↢(∷≠(⫏≰12000112⪒⫏≰1222012))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":393469,"operation_count":14,"complexity_ratio":28104.928571428572,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2695,"base":3},"right_expr":{"type":"numeric_atoms","value":2445,"base":3}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3878,"base":3},"right_expr":{"type":"numeric_atoms","value":2469,"base":3}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1398,"base":3},"right_expr":{"type":"numeric_atoms","value":2152,"base":3}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2188,"base":3},"right_expr":{"type":"numeric_atoms","value":4912,"base":3}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1015,"base":3},"right_expr":{"type":"numeric_atoms","value":2743,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3053,"base":3},"right_expr":{"type":"numeric_atoms","value":1688,"base":3}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3659,"base":3},"right_expr":{"type":"numeric_atoms","value":1436,"base":3}}}}},"used_operators":["XAx5wpdLa6","ukq6epAj5P","YbVcJGFEVW","8cLx32lpNA","OXDGMFPWZM","h92wMvzauj","jWTQ2TZYIH","9cloC0Ngie","WR6HLWljOP","VCtxkLNOzz","eewbuw0ToL","0KMCeP1Jsh","QiR2Oyf5Xj","f6k1SAg4EE"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2695","layer":4},{"info":"number node, value=2445","layer":4},{"info":"compute binary expreesion, left_input=2695, right_input=2445, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2445","layer":3},{"info":"number node, value=3878","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=2469, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2445, right_input=nan, 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=nan","layer":2},{"info":"number node, value=1398","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=2152, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=4912","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=4912, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2188","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=2188, 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=-55","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2743, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1718","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=1688, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-28054","layer":3},{"info":"compute binary expreesion, left_input=-1718, right_input=-28054, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=3659","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=3659, right_input=1436, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5095","layer":3},{"info":"compute unary expreesion, input=-5095, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-5095","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5095, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10200211∌⫏≰10100120≃(⫏≰12022122⊍⩺⋍⫏≰10101110))∋(⫏≰1220210≬⇓⫏≰2221201)⨑⩅≇⫏≰10000001⊕∕⫏≰20201221⪭≯(⫏≰1101121⨰⫏≰10202121↡⊰⫅⫏≰11012002≨⫏≰2022112)↢(∷≠(⫏≰12000112⪒⫏≰1222012))=NaN","reverse_text":"NaN=(⫏≰10200211∌⫏≰10100120≃(⫏≰12022122⊍⩺⋍⫏≰10101110))∋(⫏≰1220210≬⇓⫏≰2221201)⨑⩅≇⫏≰10000001⊕∕⫏≰20201221⪭≯(⫏≰1101121⨰⫏≰10202121↡⊰⫅⫏≰11012002≨⫏≰2022112)↢(∷≠(⫏≰12000112⪒⫏≰1222012))","cot":[{"info":"⫏≰10200211∌⫏≰10100120=⫏≰-10100120","layer":3},{"info":"⫏≰12022122⊍⩺⋍⫏≰10101110=NaN","layer":3},{"info":"⫏≰-10100120≃NaN=NaN","layer":2},{"info":"⫏≰1220210≬⇓⫏≰2221201=⫏≰-211","layer":3},{"info":"⫏≰10000001⊕∕⫏≰20201221=⫏≰10000001","layer":3},{"info":"⫏≰-211⨑⩅≇⫏≰10000001=⫏≰-2001","layer":2},{"info":"NaN∋⫏≰-2001=NaN","layer":1},{"info":"⫏≰1101121⨰⫏≰10202121=⫏≰-2100122","layer":3},{"info":"⫏≰11012002≨⫏≰2022112=⫏≰-1102111001","layer":3},{"info":"⫏≰-2100122↡⊰⫅⫏≰-1102111001=NaN","layer":2},{"info":"⫏≰12000112⪒⫏≰1222012=⫏≰-20222201","layer":3},{"info":"∷≠⫏≰-20222201=⫏≰-20222201","layer":2},{"info":"NaN↢⫏≰-20222201=NaN","layer":1},{"info":"NaN⪭≯NaN=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"((($7375$⊚⫡⫭)⪁$8014$⩇∃⫛$2213$)∷($1038$⪒$3124$)∥⊢⊲($1697$≬⇓$1553$))⩵∡((⊑$8026$)⊲⩕⊾($1778$≓∲$6756$)⨒($5098$⊍⩺⋍$1647$)≳⇉($2308$⊾⪯⋞$3976$))","expression":"(((⫏≰101010011⊚⫡⫭)⪁⫏≰101222211⩇∃⫛⫏≰10000222)∷(⫏≰1102110⪒⫏≰11021201)∥⊢⊲(⫏≰2022212≬⇓⫏≰2010112))⩵∡((⊑⫏≰102000021)⊲⩕⊾(⫏≰2102212≓∲⫏≰100021020)⨒(⫏≰20222211⊍⩺⋍⫏≰2021000)≳⇉(⫏≰10011111⊾⪯⋞⫏≰12110021))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":442325891,"operation_count":15,"complexity_ratio":29488392.733333334,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":7375,"base":3}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":8014,"base":3},"right_expr":{"type":"numeric_atoms","value":2213,"base":3}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1038,"base":3},"right_expr":{"type":"numeric_atoms","value":3124,"base":3}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1697,"base":3},"right_expr":{"type":"numeric_atoms","value":1553,"base":3}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":8026,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1778,"base":3},"right_expr":{"type":"numeric_atoms","value":6756,"base":3}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":5098,"base":3},"right_expr":{"type":"numeric_atoms","value":1647,"base":3}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2308,"base":3},"right_expr":{"type":"numeric_atoms","value":3976,"base":3}}}}},"used_operators":["Y7wcNGrDQJ","D3AQDKkPcf","I7sXao9hZE","SpZWOsLKZJ","1aApVXNlOP","v1UQAVDJRr","f6k1SAg4EE","jWTQ2TZYIH","y75s1iXyHd","DmTXOeWf9t","IkUmn0D7oy","s1XTVnmDOJ","V0kx6qeWkN","OXDGMFPWZM","HK0tfVPux8"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","NTOWxs364D","7j4O788W3g","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7375","layer":4},{"info":"compute unary expreesion, input=7375, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-13824","layer":3},{"info":"number node, value=8014","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=8014, right_input=2213, 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=-5328","layer":3},{"info":"compute binary expreesion, left_input=-13824, right_input=-5328, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1038","layer":4},{"info":"number node, value=3124","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=3124, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4162","layer":3},{"info":"number node, value=1697","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=1553, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-4162, right_input=-22, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=8026","layer":4},{"info":"compute unary expreesion, input=8026, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1778","layer":4},{"info":"number node, value=6756","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=6756, 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=18563","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=18563, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-185332","layer":2},{"info":"number node, value=5098","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=5098, right_input=1647, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2308","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=3976, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=7526","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7526, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-185332, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰101010011⊚⫡⫭)⪁⫏≰101222211⩇∃⫛⫏≰10000222)∷(⫏≰1102110⪒⫏≰11021201)∥⊢⊲(⫏≰2022212≬⇓⫏≰2010112))⩵∡((⊑⫏≰102000021)⊲⩕⊾(⫏≰2102212≓∲⫏≰100021020)⨒(⫏≰20222211⊍⩺⋍⫏≰2021000)≳⇉(⫏≰10011111⊾⪯⋞⫏≰12110021))=NaN","reverse_text":"NaN=(((⫏≰101010011⊚⫡⫭)⪁⫏≰101222211⩇∃⫛⫏≰10000222)∷(⫏≰1102110⪒⫏≰11021201)∥⊢⊲(⫏≰2022212≬⇓⫏≰2010112))⩵∡((⊑⫏≰102000021)⊲⩕⊾(⫏≰2102212≓∲⫏≰100021020)⨒(⫏≰20222211⊍⩺⋍⫏≰2021000)≳⇉(⫏≰10011111⊾⪯⋞⫏≰12110021))","cot":[{"info":"⫏≰101010011⊚⫡⫭=⫏≰-200222000","layer":3},{"info":"⫏≰101222211⩇∃⫛⫏≰10000222=⫏≰-21022100","layer":3},{"info":"⫏≰-200222000⪁⫏≰-21022100=NaN","layer":2},{"info":"⫏≰1102110⪒⫏≰11021201=⫏≰-12201011","layer":3},{"info":"⫏≰2022212≬⇓⫏≰2010112=⫏≰-211","layer":3},{"info":"⫏≰-12201011∥⊢⊲⫏≰-211=⫏≰-211","layer":2},{"info":"NaN∷⫏≰-211=NaN","layer":1},{"info":"⊑⫏≰102000021=⫏≰21010","layer":3},{"info":"⫏≰2102212≓∲⫏≰100021020=⫏≰221110112","layer":3},{"info":"⫏≰21010⊲⩕⊾⫏≰221110112=⫏≰-100102020011","layer":2},{"info":"⫏≰20222211⊍⩺⋍⫏≰2021000=NaN","layer":3},{"info":"⫏≰10011111⊾⪯⋞⫏≰12110021=⫏≰101022202","layer":3},{"info":"NaN≳⇉⫏≰101022202=NaN","layer":2},{"info":"⫏≰-100102020011⨒NaN=NaN","layer":1},{"info":"NaN⩵∡NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"(($2439$⫲≸⪮$1128$)∳⫺($5521$↓$2318$)⫲≸⪮$3712$⊮⊟↴$6247$⇣⩺⋵($1045$⫃⨇$2760$))≦↸((($1054$+$3333$)∇⊂⋱(+⊝⨔$2355$))⊉↱≁(($1132$⪮%⊝$3713$)⪒⊣⊆(⇖⫷⫕$5149$)))","expression":"((⫏≰10100100⫲≸⪮⫏≰1112210)∳⫺(⫏≰21120111↓⫏≰10011212)⫲≸⪮⫏≰12002111⊮⊟↴⫏≰22120101⇣⩺⋵(⫏≰1102201⫃⨇⫏≰10210020))≦↸(((⫏≰1110001+⫏≰11120110)∇⊂⋱(+⊝⨔⫏≰10020020))⊉↱≁((⫏≰1112221⪮%⊝⫏≰12002112)⪒⊣⊆(⇖⫷⫕⫏≰21001201)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":36533,"operation_count":15,"complexity_ratio":2435.5333333333333,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2439,"base":3},"right_expr":{"type":"numeric_atoms","value":1128,"base":3}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":5521,"base":3},"right_expr":{"type":"numeric_atoms","value":2318,"base":3}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3712,"base":3},"right_expr":{"type":"numeric_atoms","value":6247,"base":3}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1045,"base":3},"right_expr":{"type":"numeric_atoms","value":2760,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1054,"base":3},"right_expr":{"type":"numeric_atoms","value":3333,"base":3}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2355,"base":3}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1132,"base":3},"right_expr":{"type":"numeric_atoms","value":3713,"base":3}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":5149,"base":3}}}}},"used_operators":["RygbFNSyEJ","P3lXMJvFrc","AzXXKTstlj","Af076pWI7l","F4yD0voBRQ","QDVgd2eftb","09Ly4LVMIf","w2P8NbNXyL","nhYeJWJD5X","W4YGzv6Whe","DhbWaqg5eL","eRqsBgTDFp","IWmyXbctLI","UHmRx3INFg"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"⫏≰-12011000011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2439","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=1128, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2439","layer":3},{"info":"number node, value=5521","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=5521, right_input=2318, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=2439, right_input=-134, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=3712","layer":4},{"info":"number node, value=6247","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=6247, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=2760","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=2760, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11072","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11072, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-260, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-260","layer":1},{"info":"number node, value=1054","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=3333, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4387","layer":3},{"info":"number node, value=2355","layer":4},{"info":"compute unary expreesion, input=2355, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=4387, right_input=1522, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=8228","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=3713","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3713, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2580","layer":3},{"info":"number node, value=5149","layer":4},{"info":"compute unary expreesion, input=5149, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=2580, right_input=2822, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5160","layer":2},{"info":"compute binary expreesion, left_input=8228, right_input=5160, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=51268","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=51268, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-101335","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10100100⫲≸⪮⫏≰1112210)∳⫺(⫏≰21120111↓⫏≰10011212)⫲≸⪮⫏≰12002111⊮⊟↴⫏≰22120101⇣⩺⋵(⫏≰1102201⫃⨇⫏≰10210020))≦↸(((⫏≰1110001+⫏≰11120110)∇⊂⋱(+⊝⨔⫏≰10020020))⊉↱≁((⫏≰1112221⪮%⊝⫏≰12002112)⪒⊣⊆(⇖⫷⫕⫏≰21001201)))=⫏≰-12011000011","reverse_text":"⫏≰-12011000011=((⫏≰10100100⫲≸⪮⫏≰1112210)∳⫺(⫏≰21120111↓⫏≰10011212)⫲≸⪮⫏≰12002111⊮⊟↴⫏≰22120101⇣⩺⋵(⫏≰1102201⫃⨇⫏≰10210020))≦↸(((⫏≰1110001+⫏≰11120110)∇⊂⋱(+⊝⨔⫏≰10020020))⊉↱≁((⫏≰1112221⪮%⊝⫏≰12002112)⪒⊣⊆(⇖⫷⫕⫏≰21001201)))","cot":[{"info":"⫏≰10100100⫲≸⪮⫏≰1112210=⫏≰10100100","layer":3},{"info":"⫏≰21120111↓⫏≰10011212=⫏≰-11222","layer":3},{"info":"⫏≰10100100∳⫺⫏≰-11222=⫏≰-100122","layer":2},{"info":"⫏≰12002111⊮⊟↴⫏≰22120101=⫏≰0","layer":3},{"info":"⫏≰1102201⫃⨇⫏≰10210020=⫏≰-120012002","layer":3},{"info":"⫏≰0⇣⩺⋵⫏≰-120012002=⫏≰-100122","layer":2},{"info":"⫏≰-100122⫲≸⪮⫏≰-100122=⫏≰-100122","layer":1},{"info":"⫏≰1110001+⫏≰11120110=⫏≰20000111","layer":3},{"info":"+⊝⨔⫏≰10020020=⫏≰2002101","layer":3},{"info":"⫏≰20000111∇⊂⋱⫏≰2002101=⫏≰102021202","layer":2},{"info":"⫏≰1112221⪮%⊝⫏≰12002112=⫏≰10112120","layer":3},{"info":"⇖⫷⫕⫏≰21001201=⫏≰10212112","layer":3},{"info":"⫏≰10112120⪒⊣⊆⫏≰10212112=⫏≰21002010","layer":2},{"info":"⫏≰102021202⊉↱≁⫏≰21002010=⫏≰2121022211","layer":1},{"info":"⫏≰-100122≦↸⫏≰2121022211=⫏≰-12011000011","layer":0}]}
{"id":710,"expression_no_base_symbol":"(($1006$⊹∫⫚$4789$)⊝⪿⪼$2525$≹⇙⪍$2547$⋭≵($1410$⋝⋈⪟$1345$)⩇∃⫛$5308$≚⊃≕$4331$)⋓($1460$⇴$4155$)⫗⊷⫓($1227$⪕$4240$)∌($4962$⪕$3979$)⪬(⇐$2464$)","expression":"((⫏≰1101021⊹∫⫚⫏≰20120101)⊝⪿⪼⫏≰10110112≹⇙⪍⫏≰10111100⋭≵(⫏≰1221020⋝⋈⪟⫏≰1211211)⩇∃⫛⫏≰21021121≚⊃≕⫏≰12221102)⋓(⫏≰2000002⇴⫏≰12200220)⫗⊷⫓(⫏≰1200110⪕⫏≰12211001)∌(⫏≰20210210⪕⫏≰12110101)⪬(⇐⫏≰10101021)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44096,"operation_count":15,"complexity_ratio":2939.733333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1006,"base":3},"right_expr":{"type":"numeric_atoms","value":4789,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2525,"base":3},"right_expr":{"type":"numeric_atoms","value":2547,"base":3}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1410,"base":3},"right_expr":{"type":"numeric_atoms","value":1345,"base":3}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":5308,"base":3},"right_expr":{"type":"numeric_atoms","value":4331,"base":3}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1460,"base":3},"right_expr":{"type":"numeric_atoms","value":4155,"base":3}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1227,"base":3},"right_expr":{"type":"numeric_atoms","value":4240,"base":3}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4962,"base":3},"right_expr":{"type":"numeric_atoms","value":3979,"base":3}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2464,"base":3}}}}},"used_operators":["T2fj7uvVaJ","jBncVCNhdl","3Oe9XWJUTD","uWAJUKEvyW","AHs5Up7iyr","1aApVXNlOP","2DDjHMKMc0","Bmrmz2XGnR","8cLx32lpNA","zashukvMKz","4JB6nKBMSY","umQnsF7QlU","Ez1Nq5fNfI","nmZMaaE0Q9"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","sdazOOVcIp","NTOWxs364D","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=4789","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=4789, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-248","layer":3},{"info":"number node, value=2525","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=2525, right_input=2547, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-248, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=6212","layer":2},{"info":"number node, value=1410","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=1345, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1410","layer":3},{"info":"number node, value=5308","layer":4},{"info":"number node, value=4331","layer":4},{"info":"compute binary expreesion, left_input=5308, right_input=4331, 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":3},{"info":"compute binary expreesion, left_input=1410, right_input=67, 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=-870","layer":2},{"info":"compute binary expreesion, left_input=6212, right_input=-870, 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=1460","layer":4},{"info":"number node, value=4155","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=4155, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16684","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=4240","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=4240, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=16684, right_input=-55, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=4962","layer":4},{"info":"number node, value=3979","layer":4},{"info":"compute binary expreesion, left_input=4962, right_input=3979, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6846","layer":3},{"info":"number node, value=2464","layer":4},{"info":"compute unary expreesion, input=2464, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2010","layer":3},{"info":"compute binary expreesion, left_input=6846, right_input=2010, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=1234, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-134, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1101021⊹∫⫚⫏≰20120101)⊝⪿⪼⫏≰10110112≹⇙⪍⫏≰10111100⋭≵(⫏≰1221020⋝⋈⪟⫏≰1211211)⩇∃⫛⫏≰21021121≚⊃≕⫏≰12221102)⋓(⫏≰2000002⇴⫏≰12200220)⫗⊷⫓(⫏≰1200110⪕⫏≰12211001)∌(⫏≰20210210⪕⫏≰12110101)⪬(⇐⫏≰10101021)=⫏≰0","reverse_text":"⫏≰0=((⫏≰1101021⊹∫⫚⫏≰20120101)⊝⪿⪼⫏≰10110112≹⇙⪍⫏≰10111100⋭≵(⫏≰1221020⋝⋈⪟⫏≰1211211)⩇∃⫛⫏≰21021121≚⊃≕⫏≰12221102)⋓(⫏≰2000002⇴⫏≰12200220)⫗⊷⫓(⫏≰1200110⪕⫏≰12211001)∌(⫏≰20210210⪕⫏≰12110101)⪬(⇐⫏≰10101021)","cot":[{"info":"⫏≰1101021⊹∫⫚⫏≰20120101=⫏≰-100012","layer":3},{"info":"⫏≰10110112≹⇙⪍⫏≰10111100=NaN","layer":3},{"info":"⫏≰-100012⊝⪿⪼NaN=⫏≰22112002","layer":2},{"info":"⫏≰1221020⋝⋈⪟⫏≰1211211=⫏≰1221020","layer":3},{"info":"⫏≰21021121≚⊃≕⫏≰12221102=⫏≰2111","layer":3},{"info":"⫏≰1221020⩇∃⫛⫏≰2111=⫏≰-1012020","layer":2},{"info":"⫏≰22112002⋭≵⫏≰-1012020=⫏≰2111","layer":1},{"info":"⫏≰2000002⇴⫏≰12200220=⫏≰211212221","layer":3},{"info":"⫏≰1200110⪕⫏≰12211001=⫏≰-2001","layer":3},{"info":"⫏≰211212221⫗⊷⫓⫏≰-2001=⫏≰-11222","layer":2},{"info":"⫏≰20210210⪕⫏≰12110101=⫏≰100101120","layer":3},{"info":"⇐⫏≰10101021=⫏≰2202110","layer":3},{"info":"⫏≰100101120⪬⫏≰2202110=⫏≰1200201","layer":2},{"info":"⫏≰-11222∌⫏≰1200201=⫏≰-11222","layer":1},{"info":"⫏≰2111⋓⫏≰-11222=⫏≰0","layer":0}]}
{"id":711,"expression_no_base_symbol":"(($2979$∌↝$2836$⇼⇔∾$9452$∼$2420$)⩧⪆($6525$≹⇙⪍$6862$⊹∫⫚(⨰⫟⨤$2294$)))⩍⋽⫝̸($3366$∙∹∝$3653$⩹$2679$⩌⋺$1571$)⨜⨶($6258$≴⪞⇿$2013$⨔≚≋(⪸$6232$))","expression":"((⫏≰11002100∌↝⫏≰10220001⇼⇔∾⫏≰110222002∼⫏≰10022122)⩧⪆(⫏≰22221200≹⇙⪍⫏≰100102011⊹∫⫚(⨰⫟⨤⫏≰10010222)))⩍⋽⫝̸(⫏≰11121200∙∹∝⫏≰12000022⩹⫏≰10200020⩌⋺⫏≰2011012)⨜⨶(⫏≰22120210≴⪞⇿⫏≰2202120⨔≚≋(⪸⫏≰22112211))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14700,"operation_count":15,"complexity_ratio":980.0,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2979,"base":3},"right_expr":{"type":"numeric_atoms","value":2836,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":9452,"base":3},"right_expr":{"type":"numeric_atoms","value":2420,"base":3}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6525,"base":3},"right_expr":{"type":"numeric_atoms","value":6862,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2294,"base":3}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3366,"base":3},"right_expr":{"type":"numeric_atoms","value":3653,"base":3}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2679,"base":3},"right_expr":{"type":"numeric_atoms","value":1571,"base":3}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6258,"base":3},"right_expr":{"type":"numeric_atoms","value":2013,"base":3}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6232,"base":3}}}}},"used_operators":["BiWNJpBvwn","Ikt5ks8PT7","tifHPKVTfV","9Isq31Ruls","DyGG3AbaNP","uWAJUKEvyW","AHs5Up7iyr","Tw270M8GLb","HiPekx5b7W","2Wsdkap16l","HmxsFra2vL","g7Hmc5v1ko","Z57zeUYC9z","lvlrscuwVU","86A5ENbKR9"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","dWAJyo7jo9","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2979","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=2836, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=9452","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=9452, right_input=2420, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=6525","layer":4},{"info":"number node, value=6862","layer":4},{"info":"compute binary expreesion, left_input=6525, right_input=6862, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=3366","layer":4},{"info":"number node, value=3653","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=3653, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=1571, 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=-4371","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4371, 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=-4373","layer":2},{"info":"number node, value=6258","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=6258, right_input=2013, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=71640684","layer":3},{"info":"number node, value=6232","layer":4},{"info":"compute unary expreesion, input=6232, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-105735","layer":3},{"info":"compute binary expreesion, left_input=71640684, right_input=-105735, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=-4373, right_input=9872, 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=-19488","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19488, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11002100∌↝⫏≰10220001⇼⇔∾⫏≰110222002∼⫏≰10022122)⩧⪆(⫏≰22221200≹⇙⪍⫏≰100102011⊹∫⫚(⨰⫟⨤⫏≰10010222)))⩍⋽⫝̸(⫏≰11121200∙∹∝⫏≰12000022⩹⫏≰10200020⩌⋺⫏≰2011012)⨜⨶(⫏≰22120210≴⪞⇿⫏≰2202120⨔≚≋(⪸⫏≰22112211))=NaN","reverse_text":"NaN=((⫏≰11002100∌↝⫏≰10220001⇼⇔∾⫏≰110222002∼⫏≰10022122)⩧⪆(⫏≰22221200≹⇙⪍⫏≰100102011⊹∫⫚(⨰⫟⨤⫏≰10010222)))⩍⋽⫝̸(⫏≰11121200∙∹∝⫏≰12000022⩹⫏≰10200020⩌⋺⫏≰2011012)⨜⨶(⫏≰22120210≴⪞⇿⫏≰2202120⨔≚≋(⪸⫏≰22112211))","cot":[{"info":"⫏≰11002100∌↝⫏≰10220001=⫏≰0","layer":3},{"info":"⫏≰110222002∼⫏≰10022122=NaN","layer":3},{"info":"⫏≰0⇼⇔∾NaN=NaN","layer":2},{"info":"⫏≰22221200≹⇙⪍⫏≰100102011=NaN","layer":3},{"info":"⨰⫟⨤⫏≰10010222=NaN","layer":3},{"info":"NaN⊹∫⫚NaN=NaN","layer":2},{"info":"NaN⩧⪆NaN=NaN","layer":1},{"info":"⫏≰11121200∙∹∝⫏≰12000022=⫏≰0","layer":3},{"info":"⫏≰10200020⩌⋺⫏≰2011012=⫏≰-12222220","layer":3},{"info":"⫏≰0⩹⫏≰-12222220=⫏≰-12222222","layer":2},{"info":"⫏≰22120210≴⪞⇿⫏≰2202120=⫏≰11222210201112200","layer":3},{"info":"⪸⫏≰22112211=⫏≰-12101001010","layer":3},{"info":"⫏≰11222210201112200⨔≚≋⫏≰-12101001010=⫏≰111112122","layer":2},{"info":"⫏≰-12222222⨜⨶⫏≰111112122=⫏≰-222201210","layer":1},{"info":"NaN⩍⋽⫝̸⫏≰-222201210=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"((($2178$⩁)-$1018$⋹⋡⊁$4009$)⊫∞)⊨((⊲⪭$2360$)⇮⋭$5840$↤⩊$4720$)↹⊜($4675$⩷∴$1569$/$2235$↙$4670$)","expression":"(((⫏≰2222200⩁)-⫏≰1101201⋹⋡⊁⫏≰12111111)⊫∞)⊨((⊲⪭⫏≰10020102)⇮⋭⫏≰22000022↤⩊⫏≰20110211)↹⊜(⫏≰20102011⩷∴⫏≰2011010/⫏≰10001210↙⫏≰20101222)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":90627,"operation_count":12,"complexity_ratio":7552.25,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":2178,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1018,"base":3},"right_expr":{"type":"numeric_atoms","value":4009,"base":3}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2360,"base":3}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5840,"base":3},"right_expr":{"type":"numeric_atoms","value":4720,"base":3}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4675,"base":3},"right_expr":{"type":"numeric_atoms","value":1569,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2235,"base":3},"right_expr":{"type":"numeric_atoms","value":4670,"base":3}}}}},"used_operators":["vg4gO5BX6G","pABnYW3G3E","rysDP5nf3Z","5GqDbVmqXU","As8RqfVLgs","9bazX3JMtO","vkpjKywKVM","k7HXdKtiEU","13rbtpv6ld","XhwjNDsVaA","9FxExcQeMw","yyfyN0ffXY"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","i8ToyICDmI","xUOZtlo3hN","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⫏≰-20110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2178","layer":4},{"info":"compute unary expreesion, input=2178, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-14644","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=4009, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4759","layer":3},{"info":"compute binary expreesion, left_input=-14644, right_input=4759, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-19403","layer":2},{"info":"compute unary expreesion, input=-19403, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":1},{"info":"number node, value=2360","layer":4},{"info":"compute unary expreesion, input=2360, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2534","layer":3},{"info":"number node, value=5840","layer":4},{"info":"number node, value=4720","layer":4},{"info":"compute binary expreesion, left_input=5840, right_input=4720, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2534, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=4675","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=4675, right_input=1569, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6180","layer":3},{"info":"number node, value=2235","layer":4},{"info":"number node, value=4670","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=4670, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14010","layer":3},{"info":"compute binary expreesion, left_input=6180, right_input=-14010, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-88","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-88, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2222200⩁)-⫏≰1101201⋹⋡⊁⫏≰12111111)⊫∞)⊨((⊲⪭⫏≰10020102)⇮⋭⫏≰22000022↤⩊⫏≰20110211)↹⊜(⫏≰20102011⩷∴⫏≰2011010/⫏≰10001210↙⫏≰20101222)=⫏≰-20110","reverse_text":"⫏≰-20110=(((⫏≰2222200⩁)-⫏≰1101201⋹⋡⊁⫏≰12111111)⊫∞)⊨((⊲⪭⫏≰10020102)⇮⋭⫏≰22000022↤⩊⫏≰20110211)↹⊜(⫏≰20102011⩷∴⫏≰2011010/⫏≰10001210↙⫏≰20101222)","cot":[{"info":"⫏≰2222200⩁=⫏≰-202002101","layer":3},{"info":"⫏≰1101201⋹⋡⊁⫏≰12111111=⫏≰20112021","layer":3},{"info":"⫏≰-202002101-⫏≰20112021=⫏≰-222121122","layer":2},{"info":"⫏≰-222121122⊫∞=⫏≰0","layer":1},{"info":"⊲⪭⫏≰10020102=⫏≰-10110212","layer":3},{"info":"⫏≰22000022↤⩊⫏≰20110211=NaN","layer":3},{"info":"⫏≰-10110212⇮⋭NaN=⫏≰2111","layer":2},{"info":"⫏≰20102011⩷∴⫏≰2011010=⫏≰22110220","layer":3},{"info":"⫏≰10001210↙⫏≰20101222=⫏≰-201012220","layer":3},{"info":"⫏≰22110220/⫏≰-201012220=⫏≰-1","layer":2},{"info":"⫏≰2111↹⊜⫏≰-1=⫏≰-10021","layer":1},{"info":"⫏≰0⊨⫏≰-10021=⫏≰-20110","layer":0}]}
{"id":713,"expression_no_base_symbol":"((⪲⇎(⊊≼∋$5766$))∷((⫓⪴$4552$)⩉⊫⨁))≎⪠($4668$+⇶⊼$4391$↺($4557$⨒$7978$)⨳⩥⨓(⨵≀≌$1351$)⇡⇂$1211$⪃⊛⇣$1572$)","expression":"((⪲⇎(⊊≼∋⫏≰21220120))∷((⫓⪴⫏≰20020121)⩉⊫⨁))≎⪠(⫏≰20101220+⇶⊼⫏≰20000122↺(⫏≰20020210⨒⫏≰101221111)⨳⩥⨓(⨵≀≌⫏≰1212001)⇡⇂⫏≰1122212⪃⊛⇣⫏≰2011020)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37738,"operation_count":13,"complexity_ratio":2902.923076923077,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":5766,"base":3}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4552,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4668,"base":3},"right_expr":{"type":"numeric_atoms","value":4391,"base":3}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4557,"base":3},"right_expr":{"type":"numeric_atoms","value":7978,"base":3}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1351,"base":3}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1211,"base":3},"right_expr":{"type":"numeric_atoms","value":1572,"base":3}}}}},"used_operators":["aNhz54LH3e","D3AQDKkPcf","XPYlsWDdGa","FWz7pXsQhA","7qqUquhhSb","eLxqMNBOBk","nCS4ZIUYfx","7j4O788W3g","TpPTUOHfaN","y75s1iXyHd","UMwdvZNt44","srAu1WTS94","rrgAzCduG9"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","7j4O788W3g","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⫏≰222211101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5766","layer":4},{"info":"compute unary expreesion, input=5766, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-894","layer":2},{"info":"number node, value=4552","layer":4},{"info":"compute unary expreesion, input=4552, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=20720704","layer":3},{"info":"compute unary expreesion, input=20720704, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=20720704","layer":2},{"info":"compute binary expreesion, left_input=-894, right_input=20720704, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=20720704","layer":1},{"info":"number node, value=4668","layer":4},{"info":"number node, value=4391","layer":4},{"info":"compute binary expreesion, left_input=4668, right_input=4391, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4557","layer":4},{"info":"number node, value=7978","layer":4},{"info":"compute binary expreesion, left_input=4557, right_input=7978, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-26970","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-26970, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-26970","layer":2},{"info":"number node, value=1351","layer":4},{"info":"compute unary expreesion, input=1351, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4053","layer":3},{"info":"number node, value=1211","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1572, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4053, right_input=1234, 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":2},{"info":"compute binary expreesion, left_input=-26970, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=20720704, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":3,"result_base":3,"text":"((⪲⇎(⊊≼∋⫏≰21220120))∷((⫓⪴⫏≰20020121)⩉⊫⨁))≎⪠(⫏≰20101220+⇶⊼⫏≰20000122↺(⫏≰20020210⨒⫏≰101221111)⨳⩥⨓(⨵≀≌⫏≰1212001)⇡⇂⫏≰1122212⪃⊛⇣⫏≰2011020)=⫏≰222211101","reverse_text":"⫏≰222211101=((⪲⇎(⊊≼∋⫏≰21220120))∷((⫓⪴⫏≰20020121)⩉⊫⨁))≎⪠(⫏≰20101220+⇶⊼⫏≰20000122↺(⫏≰20020210⨒⫏≰101221111)⨳⩥⨓(⨵≀≌⫏≰1212001)⇡⇂⫏≰1122212⪃⊛⇣⫏≰2011020)","cot":[{"info":"⊊≼∋⫏≰21220120=⫏≰-121120","layer":3},{"info":"⪲⇎⫏≰-121120=⫏≰-1020010","layer":2},{"info":"⫓⪴⫏≰20020121=⫏≰1102222201110111","layer":3},{"info":"⫏≰1102222201110111⩉⊫⨁=⫏≰1102222201110111","layer":2},{"info":"⫏≰-1020010∷⫏≰1102222201110111=⫏≰1102222201110111","layer":1},{"info":"⫏≰20101220+⇶⊼⫏≰20000122=NaN","layer":3},{"info":"⫏≰20020210⨒⫏≰101221111=⫏≰-1100222220","layer":3},{"info":"NaN↺⫏≰-1100222220=⫏≰-1100222220","layer":2},{"info":"⨵≀≌⫏≰1212001=⫏≰-12120010","layer":3},{"info":"⫏≰1122212⪃⊛⇣⫏≰2011020=⫏≰1200201","layer":3},{"info":"⫏≰-12120010⇡⇂⫏≰1200201=NaN","layer":2},{"info":"⫏≰-1100222220⨳⩥⨓NaN=NaN","layer":1},{"info":"⫏≰1102222201110111≎⪠NaN=⫏≰222211101","layer":0}]}
{"id":714,"expression_no_base_symbol":"((($4847$⊹∫⫚$4102$)⋝⋈⪟$1070$≨$3769$)⨻⩈⩔($2241$⨳⩥⨓$2909$)∌↝($4372$⪒$2146$))⨿((⩪∧⨌$1262$∘$1806$)⇉⇉)","expression":"(((⫏≰20122112⊹∫⫚⫏≰12121221)⋝⋈⪟⫏≰1110122≨⫏≰12011121)⨻⩈⩔(⫏≰10002000⨳⩥⨓⫏≰10222202)∌↝(⫏≰12222221⪒⫏≰2221111))⨿((⩪∧⨌⫏≰1201202∘⫏≰2110220)⇉⇉)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":704,"operation_count":11,"complexity_ratio":64.0,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4847,"base":3},"right_expr":{"type":"numeric_atoms","value":4102,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1070,"base":3},"right_expr":{"type":"numeric_atoms","value":3769,"base":3}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2241,"base":3},"right_expr":{"type":"numeric_atoms","value":2909,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4372,"base":3},"right_expr":{"type":"numeric_atoms","value":2146,"base":3}}}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1262,"base":3},"right_expr":{"type":"numeric_atoms","value":1806,"base":3}}}}},"used_operators":["abYXlopdE0","nEsXyWgiOK","2DDjHMKMc0","uWAJUKEvyW","0KMCeP1Jsh","9Isq31Ruls","nCS4ZIUYfx","f6k1SAg4EE","diKm42VcIt","6iOiAJX1F8","Z5m6OM72h2"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eH2TOUuTDT","rysDP5nf3Z"],"result":"⫏≰11111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4847","layer":4},{"info":"number node, value=4102","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=4102, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-224","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=3769","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=3769, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8224","layer":3},{"info":"compute binary expreesion, left_input=-224, right_input=-8224, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-224","layer":2},{"info":"number node, value=2241","layer":4},{"info":"number node, value=2909","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=2909, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=668","layer":3},{"info":"number node, value=4372","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=4372, right_input=2146, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6518","layer":3},{"info":"compute binary expreesion, left_input=668, right_input=-6518, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=1336","layer":2},{"info":"compute binary expreesion, left_input=-224, right_input=1336, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=1262","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1806, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2524","layer":3},{"info":"compute unary expreesion, input=2524, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=25240","layer":2},{"info":"compute unary expreesion, input=25240, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-1701576","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-1701576, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰20122112⊹∫⫚⫏≰12121221)⋝⋈⪟⫏≰1110122≨⫏≰12011121)⨻⩈⩔(⫏≰10002000⨳⩥⨓⫏≰10222202)∌↝(⫏≰12222221⪒⫏≰2221111))⨿((⩪∧⨌⫏≰1201202∘⫏≰2110220)⇉⇉)=⫏≰11111","reverse_text":"⫏≰11111=(((⫏≰20122112⊹∫⫚⫏≰12121221)⋝⋈⪟⫏≰1110122≨⫏≰12011121)⨻⩈⩔(⫏≰10002000⨳⩥⨓⫏≰10222202)∌↝(⫏≰12222221⪒⫏≰2221111))⨿((⩪∧⨌⫏≰1201202∘⫏≰2110220)⇉⇉)","cot":[{"info":"⫏≰20122112⊹∫⫚⫏≰12121221=⫏≰-22022","layer":3},{"info":"⫏≰1110122≨⫏≰12011121=⫏≰-102021121","layer":3},{"info":"⫏≰-22022⋝⋈⪟⫏≰-102021121=⫏≰-22022","layer":2},{"info":"⫏≰10002000⨳⩥⨓⫏≰10222202=⫏≰220202","layer":3},{"info":"⫏≰12222221⪒⫏≰2221111=⫏≰-22221102","layer":3},{"info":"⫏≰220202∌↝⫏≰-22221102=⫏≰1211111","layer":2},{"info":"⫏≰-22022⨻⩈⩔⫏≰1211111=⫏≰-20110","layer":1},{"info":"⫏≰1201202∘⫏≰2110220=⫏≰10110111","layer":3},{"info":"⩪∧⨌⫏≰10110111=⫏≰1021121211","layer":2},{"info":"⫏≰1021121211⇉⇉=⫏≰-10012110010100","layer":1},{"info":"⫏≰-20110⨿⫏≰-10012110010100=⫏≰11111","layer":0}]}
{"id":715,"expression_no_base_symbol":"(⇐($1817$⊉≛↸$4234$))⪪(($2082$⪉⨛$1307$)∑⇟⊟$1076$↳∿⪆$3177$)↺(($1386$⩘$1660$)⨼⩣($4930$⨽$2130$)⋷(≸≮$2565$)⊴($6288$⫲≸⪮$1702$))","expression":"(⇐(⫏≰2111022⊉≛↸⫏≰12210211))⪪((⫏≰2212010⪉⨛⫏≰1210102)∑⇟⊟⫏≰1110212↳∿⪆⫏≰11100200)↺((⫏≰1220100⩘⫏≰2021111)⨼⩣(⫏≰20202121⨽⫏≰2220220)⋷(≸≮⫏≰10112000)⊴(⫏≰22121220⫲≸⪮⫏≰2100001))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":218816939,"operation_count":14,"complexity_ratio":15629781.357142856,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1817,"base":3},"right_expr":{"type":"numeric_atoms","value":4234,"base":3}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2082,"base":3},"right_expr":{"type":"numeric_atoms","value":1307,"base":3}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1076,"base":3},"right_expr":{"type":"numeric_atoms","value":3177,"base":3}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1386,"base":3},"right_expr":{"type":"numeric_atoms","value":1660,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4930,"base":3},"right_expr":{"type":"numeric_atoms","value":2130,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2565,"base":3}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6288,"base":3},"right_expr":{"type":"numeric_atoms","value":1702,"base":3}}}}},"used_operators":["7j4O788W3g","xD69zh8xqp","nmZMaaE0Q9","DZ8iAZOCBD","U7g4x0WXJJ","EWw2JM7wp4","Cw4SuJJGHO","23Mk6UjR3U","JxwMv5le6e","cHh1gJQ2o6","8HhzD0ZcuI","Nsiff2A1zJ","AljMvE3RRm","P3lXMJvFrc"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1817","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=4234, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3634","layer":3},{"info":"compute unary expreesion, input=3634, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=9030","layer":2},{"info":"number node, value=2082","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=1307, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5154","layer":3},{"info":"number node, value=1076","layer":4},{"info":"number node, value=3177","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=3177, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5154, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9030, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1359619","layer":1},{"info":"number node, value=1386","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1660, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4930","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=4930, right_input=2130, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72919776","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-72919776, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2565","layer":4},{"info":"compute unary expreesion, input=2565, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=6288","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=6288, right_input=1702, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6288","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6288, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1359619, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇐(⫏≰2111022⊉≛↸⫏≰12210211))⪪((⫏≰2212010⪉⨛⫏≰1210102)∑⇟⊟⫏≰1110212↳∿⪆⫏≰11100200)↺((⫏≰1220100⩘⫏≰2021111)⨼⩣(⫏≰20202121⨽⫏≰2220220)⋷(≸≮⫏≰10112000)⊴(⫏≰22121220⫲≸⪮⫏≰2100001))=NaN","reverse_text":"NaN=(⇐(⫏≰2111022⊉≛↸⫏≰12210211))⪪((⫏≰2212010⪉⨛⫏≰1210102)∑⇟⊟⫏≰1110212↳∿⪆⫏≰11100200)↺((⫏≰1220100⩘⫏≰2021111)⨼⩣(⫏≰20202121⨽⫏≰2220220)⋷(≸≮⫏≰10112000)⊴(⫏≰22121220⫲≸⪮⫏≰2100001))","cot":[{"info":"⫏≰2111022⊉≛↸⫏≰12210211=⫏≰11222121","layer":3},{"info":"⇐⫏≰11222121=⫏≰110101110","layer":2},{"info":"⫏≰2212010⪉⨛⫏≰1210102=⫏≰21001220","layer":3},{"info":"⫏≰1110212↳∿⪆⫏≰11100200=NaN","layer":3},{"info":"⫏≰21001220∑⇟⊟NaN=NaN","layer":2},{"info":"⫏≰110101110⪪NaN=⫏≰-2120002001021","layer":1},{"info":"⫏≰1220100⩘⫏≰2021111=⫏≰12221","layer":3},{"info":"⫏≰20202121⨽⫏≰2220220=⫏≰-12002012201010110","layer":3},{"info":"⫏≰12221⨼⩣⫏≰-12002012201010110=NaN","layer":2},{"info":"≸≮⫏≰10112000=NaN","layer":3},{"info":"⫏≰22121220⫲≸⪮⫏≰2100001=⫏≰22121220","layer":3},{"info":"NaN⊴⫏≰22121220=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⫏≰-2120002001021↺NaN=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"(((≇⪴$3027$)≚⊃≕$5849$≁$1249$)↦)∷(((⩎⋉$4741$)∈)⪠⩆⊳)","expression":"(((≇⪴⫏≰11011010)≚⊃≕⫏≰22000122≁⫏≰1201021)↦)∷(((⩎⋉⫏≰20111121)∈)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":224065,"operation_count":8,"complexity_ratio":28008.125,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":3027,"base":3}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5849,"base":3},"right_expr":{"type":"numeric_atoms","value":1249,"base":3}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4741,"base":3}}}}},"used_operators":["D3AQDKkPcf","fFznvYxMfW","Bmrmz2XGnR","zoVPnxeHJ3","8N2wDY1A35","JLbD19bQDL","ztP7wcbY7m","FlXk3pOYe8"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"compute unary expreesion, input=3027, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7741","layer":3},{"info":"number node, value=5849","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=5849, right_input=1249, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=16775","layer":3},{"info":"compute binary expreesion, left_input=-7741, right_input=16775, 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=2420","layer":2},{"info":"compute unary expreesion, input=2420, 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":"number node, value=4741","layer":4},{"info":"compute unary expreesion, input=4741, 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":3},{"info":"compute unary expreesion, input=1650, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=4279","layer":2},{"info":"compute unary expreesion, input=4279, 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=nan, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((≇⪴⫏≰11011010)≚⊃≕⫏≰22000122≁⫏≰1201021)↦)∷(((⩎⋉⫏≰20111121)∈)⪠⩆⊳)=NaN","reverse_text":"NaN=(((≇⪴⫏≰11011010)≚⊃≕⫏≰22000122≁⫏≰1201021)↦)∷(((⩎⋉⫏≰20111121)∈)⪠⩆⊳)","cot":[{"info":"≇⪴⫏≰11011010=⫏≰-101121201","layer":3},{"info":"⫏≰22000122≁⫏≰1201021=⫏≰212000022","layer":3},{"info":"⫏≰-101121201≚⊃≕⫏≰212000022=⫏≰10022122","layer":2},{"info":"⫏≰10022122↦=NaN","layer":1},{"info":"⩎⋉⫏≰20111121=⫏≰2021010","layer":3},{"info":"⫏≰2021010∈=⫏≰12212111","layer":2},{"info":"⫏≰12212111⪠⩆⊳=⫏≰0","layer":1},{"info":"NaN∷⫏≰0=NaN","layer":0}]}
{"id":717,"expression_no_base_symbol":"((($1213$→⨶⪴$2007$)⪘⨀)⫰⋱(($1309$⪨≂$3962$)⫳≱↱$1193$⨑⩅≇$2756$))⋹⋡⊁(($6292$⫉⨲⊜$1125$⨻⩈⩔($4989$⇴∐$2063$))⫭)","expression":"(((⫏≰1122221→⨶⪴⫏≰2202100)⪘⨀)⫰⋱((⫏≰1210111⪨≂⫏≰12102202)⫳≱↱⫏≰1122012⨑⩅≇⫏≰10210002))⋹⋡⊁((⫏≰22122001⫉⨲⊜⫏≰1112200⨻⩈⩔(⫏≰20211210⇴∐⫏≰2211102))⫭)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3056,"operation_count":11,"complexity_ratio":277.8181818181818,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1213,"base":3},"right_expr":{"type":"numeric_atoms","value":2007,"base":3}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1309,"base":3},"right_expr":{"type":"numeric_atoms","value":3962,"base":3}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1193,"base":3},"right_expr":{"type":"numeric_atoms","value":2756,"base":3}}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":6292,"base":3},"right_expr":{"type":"numeric_atoms","value":1125,"base":3}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4989,"base":3},"right_expr":{"type":"numeric_atoms","value":2063,"base":3}}}}},"used_operators":["As8RqfVLgs","6o9Blt3TJ6","aA7tF3KVD3","bF6eod5Gvf","ZvLB05nZmT","sdazOOVcIp","h92wMvzauj","t4WUHVGj7f","nEsXyWgiOK","WhqkvtTD3t","HnzytWxmAO"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","8w2t5hMYqp","9FxExcQeMw","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eewbuw0ToL","zVYPLywUTj","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⫏≰21121100200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1213","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=2007, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6021","layer":3},{"info":"compute unary expreesion, input=-6021, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=12242","layer":2},{"info":"number node, value=1309","layer":4},{"info":"number node, value=3962","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=3962, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5204","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=2756, 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=-3579","layer":3},{"info":"compute binary expreesion, left_input=-5204, right_input=-3579, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute binary expreesion, left_input=12242, right_input=-2802, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-9373","layer":1},{"info":"number node, value=6292","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=6292, right_input=1125, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=4989","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=2063, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9373, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=149706","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1122221→⨶⪴⫏≰2202100)⪘⨀)⫰⋱((⫏≰1210111⪨≂⫏≰12102202)⫳≱↱⫏≰1122012⨑⩅≇⫏≰10210002))⋹⋡⊁((⫏≰22122001⫉⨲⊜⫏≰1112200⨻⩈⩔(⫏≰20211210⇴∐⫏≰2211102))⫭)=⫏≰21121100200","reverse_text":"⫏≰21121100200=(((⫏≰1122221→⨶⪴⫏≰2202100)⪘⨀)⫰⋱((⫏≰1210111⪨≂⫏≰12102202)⫳≱↱⫏≰1122012⨑⩅≇⫏≰10210002))⋹⋡⊁((⫏≰22122001⫉⨲⊜⫏≰1112200⨻⩈⩔(⫏≰20211210⇴∐⫏≰2211102))⫭)","cot":[{"info":"⫏≰1122221→⨶⪴⫏≰2202100=⫏≰-22021000","layer":3},{"info":"⫏≰-22021000⪘⨀=⫏≰121210102","layer":2},{"info":"⫏≰1210111⪨≂⫏≰12102202=⫏≰-21010202","layer":3},{"info":"⫏≰1122012⨑⩅≇⫏≰10210002=⫏≰-11220120","layer":3},{"info":"⫏≰-21010202⫳≱↱⫏≰-11220120=⫏≰-10211210","layer":2},{"info":"⫏≰121210102⫰⋱⫏≰-10211210=⫏≰-110212011","layer":1},{"info":"⫏≰22122001⫉⨲⊜⫏≰1112200=⫏≰0","layer":3},{"info":"⫏≰20211210⇴∐⫏≰2211102=NaN","layer":3},{"info":"⫏≰0⨻⩈⩔NaN=NaN","layer":2},{"info":"NaN⫭=NaN","layer":1},{"info":"⫏≰-110212011⋹⋡⊁NaN=⫏≰21121100200","layer":0}]}
{"id":718,"expression_no_base_symbol":"($1526$≌$2487$⩧⪆(⪸$1005$))⪭(⇖($3208$⩒⫫$1776$))⨱∎","expression":"(⫏≰2002112≌⫏≰10102010⩧⪆(⪸⫏≰1101020))⪭(⇖(⫏≰11101211⩒⫫⫏≰2102210))⨱∎","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2680,"operation_count":7,"complexity_ratio":382.85714285714283,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1526,"base":3},"right_expr":{"type":"numeric_atoms","value":2487,"base":3}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1005,"base":3}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3208,"base":3},"right_expr":{"type":"numeric_atoms","value":1776,"base":3}}}}},"used_operators":["MmTdOpaElr","j9kHMeSvPp","Ikt5ks8PT7","lyWz822IDG","86A5ENbKR9","tfWHHpNKUN","KFSx94NKJn"],"dependent_operators":["tifHPKVTfV","COABgblf1C","xUOZtlo3hN","eewbuw0ToL","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","2DQ55sFlQl","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=2487, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-16876","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16876, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=16876","layer":2},{"info":"number node, value=3208","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=1776, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2906","layer":3},{"info":"compute unary expreesion, input=2906, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=16876, right_input=160, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute unary expreesion, input=5, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2002112≌⫏≰10102010⩧⪆(⪸⫏≰1101020))⪭(⇖(⫏≰11101211⩒⫫⫏≰2102210))⨱∎=⫏≰0","reverse_text":"⫏≰0=(⫏≰2002112≌⫏≰10102010⩧⪆(⪸⫏≰1101020))⪭(⇖(⫏≰11101211⩒⫫⫏≰2102210))⨱∎","cot":[{"info":"⫏≰2002112≌⫏≰10102010=NaN","layer":3},{"info":"⪸⫏≰1101020=⫏≰-212011001","layer":3},{"info":"NaN⩧⪆⫏≰-212011001=⫏≰212011001","layer":2},{"info":"⫏≰11101211⩒⫫⫏≰2102210=⫏≰10222122","layer":3},{"info":"⇖⫏≰10222122=⫏≰12221","layer":2},{"info":"⫏≰212011001⪭⫏≰12221=⫏≰12","layer":1},{"info":"⫏≰12⨱∎=⫏≰0","layer":0}]}
{"id":719,"expression_no_base_symbol":"⊢≑≆(≛($1202$⪎⩰)≨($1901$⫌⩉⩟$2708$))","expression":"⊢≑≆(≛(⫏≰1122112⪎⩰)≨(⫏≰2121102⫌⩉⩟⫏≰10201022))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14356,"operation_count":5,"complexity_ratio":2871.2,"tree":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1202,"base":3}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1901,"base":3},"right_expr":{"type":"numeric_atoms","value":2708,"base":3}}}}},"used_operators":["27wFxooxGf","W7eaUhjymW","0KMCeP1Jsh","2ufhKmSs5H","XIIwhv8d0m"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⫏≰21220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=1901","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=2708, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=-50, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=770","layer":2},{"info":"compute unary expreesion, input=770, 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 = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=213","layer":0}],"base":3,"result_base":3,"text":"⊢≑≆(≛(⫏≰1122112⪎⩰)≨(⫏≰2121102⫌⩉⩟⫏≰10201022))=⫏≰21220","reverse_text":"⫏≰21220=⊢≑≆(≛(⫏≰1122112⪎⩰)≨(⫏≰2121102⫌⩉⩟⫏≰10201022))","cot":[{"info":"⫏≰1122112⪎⩰=⫏≰-1021","layer":3},{"info":"⫏≰2121102⫌⩉⩟⫏≰10201022=⫏≰-1212","layer":3},{"info":"⫏≰-1021≨⫏≰-1212=⫏≰1001112","layer":2},{"info":"≛⫏≰1001112=⫏≰-101","layer":1},{"info":"⊢≑≆⫏≰-101=⫏≰21220","layer":0}]}
{"id":720,"expression_no_base_symbol":"(($1021$⪶≀⋏$3072$⫃⨇(≱⇩⩕$1578$))⇐≅)⊢(((-$1299$)∙∹∝$1129$∠⫱$1197$)∣($2592$⫍⨯↯)⩣⫁∢($2934$⫔⩽⩺$3157$))","expression":"((⫏≰1101211⪶≀⋏⫏≰11012210⫃⨇(≱⇩⩕⫏≰2011110))⇐≅)⊢(((-⫏≰1210010)∙∹∝⫏≰1112211∠⫱⫏≰1122100)∣(⫏≰10120000⫍⨯↯)⩣⫁∢(⫏≰11000200⫔⩽⩺⫏≰11022221))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":162,"operation_count":12,"complexity_ratio":13.5,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":3072,"base":3}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1578,"base":3}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1299,"base":3}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1129,"base":3},"right_expr":{"type":"numeric_atoms","value":1197,"base":3}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":2592,"base":3}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2934,"base":3},"right_expr":{"type":"numeric_atoms","value":3157,"base":3}}}}},"used_operators":["5twsqlHp2o","wEfv7U73WA","09Ly4LVMIf","zR4jO40bMj","3DZMoQKiUl","PPChnnnBFF","HmxsFra2vL","t8gj7n24qd","QvoQhV0rrE","JDUIKTTSIa","ZcwmYACASQ","i9eR4S00cU"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","Tw270M8GLb","fu6greOZ01"],"result":"⫏≰-100212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=3072, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-9439","layer":3},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-9439, right_input=113, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-484","layer":2},{"info":"compute unary expreesion, input=-484, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=11","layer":1},{"info":"number node, value=1299","layer":4},{"info":"compute unary expreesion, input=1299, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1299","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1197, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1299, right_input=1234, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2592","layer":4},{"info":"compute unary expreesion, input=2592, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=2559","layer":3},{"info":"number node, value=2934","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=3157, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2559, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=11, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-266","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1101211⪶≀⋏⫏≰11012210⫃⨇(≱⇩⩕⫏≰2011110))⇐≅)⊢(((-⫏≰1210010)∙∹∝⫏≰1112211∠⫱⫏≰1122100)∣(⫏≰10120000⫍⨯↯)⩣⫁∢(⫏≰11000200⫔⩽⩺⫏≰11022221))=⫏≰-100212","reverse_text":"⫏≰-100212=((⫏≰1101211⪶≀⋏⫏≰11012210⫃⨇(≱⇩⩕⫏≰2011110))⇐≅)⊢(((-⫏≰1210010)∙∹∝⫏≰1112211∠⫱⫏≰1122100)∣(⫏≰10120000⫍⨯↯)⩣⫁∢(⫏≰11000200⫔⩽⩺⫏≰11022221))","cot":[{"info":"⫏≰1101211⪶≀⋏⫏≰11012210=⫏≰-110221121","layer":3},{"info":"≱⇩⩕⫏≰2011110=⫏≰11012","layer":3},{"info":"⫏≰-110221121⫃⨇⫏≰11012=⫏≰-122221","layer":2},{"info":"⫏≰-122221⇐≅=⫏≰102","layer":1},{"info":"-⫏≰1210010=⫏≰-1210010","layer":3},{"info":"⫏≰1112211∠⫱⫏≰1122100=⫏≰1200201","layer":3},{"info":"⫏≰-1210010∙∹∝⫏≰1200201=⫏≰0","layer":2},{"info":"⫏≰10120000⫍⨯↯=⫏≰10111210","layer":3},{"info":"⫏≰11000200⫔⩽⩺⫏≰11022221=NaN","layer":3},{"info":"⫏≰10111210⩣⫁∢NaN=NaN","layer":2},{"info":"⫏≰0∣NaN=⫏≰0","layer":1},{"info":"⫏≰102⊢⫏≰0=⫏≰-100212","layer":0}]}
{"id":721,"expression_no_base_symbol":"(⇾⩊⇾($2938$⪒⊣⊆$3333$⪛⫼$5407$≃$1591$))⋝⋈⪟(↑(($1260$⫒⫫$2641$)∛(∓⪦$1237$)))","expression":"(⇾⩊⇾(⫏≰11000211⪒⊣⊆⫏≰11120110⪛⫼⫏≰21102021≃⫏≰2011221))⋝⋈⪟(↑((⫏≰1201200⫒⫫⫏≰10121211)∛(∓⪦⫏≰1200211)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":388,"operation_count":9,"complexity_ratio":43.111111111111114,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2938,"base":3},"right_expr":{"type":"numeric_atoms","value":3333,"base":3}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5407,"base":3},"right_expr":{"type":"numeric_atoms","value":1591,"base":3}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1260,"base":3},"right_expr":{"type":"numeric_atoms","value":2641,"base":3}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1237,"base":3}}}}},"used_operators":["2DDjHMKMc0","bx9Z9DAK5y","hyuBjUqXlG","eRqsBgTDFp","YbVcJGFEVW","tR7O2zTn5j","w2537kitQq","6Ko8hGgeMq","D309nIvmXG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"⫏≰10212010","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2938","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=3333, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5876","layer":3},{"info":"number node, value=5407","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=5407, right_input=1591, 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=-21668","layer":3},{"info":"compute binary expreesion, left_input=5876, right_input=-21668, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1033","layer":2},{"info":"compute unary expreesion, input=-1033, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=2811","layer":1},{"info":"number node, value=1260","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2641, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=829","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=829, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=2811, right_input=192, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2811","layer":0}],"base":3,"result_base":3,"text":"(⇾⩊⇾(⫏≰11000211⪒⊣⊆⫏≰11120110⪛⫼⫏≰21102021≃⫏≰2011221))⋝⋈⪟(↑((⫏≰1201200⫒⫫⫏≰10121211)∛(∓⪦⫏≰1200211)))=⫏≰10212010","reverse_text":"⫏≰10212010=(⇾⩊⇾(⫏≰11000211⪒⊣⊆⫏≰11120110⪛⫼⫏≰21102021≃⫏≰2011221))⋝⋈⪟(↑((⫏≰1201200⫒⫫⫏≰10121211)∛(∓⪦⫏≰1200211)))","cot":[{"info":"⫏≰11000211⪒⊣⊆⫏≰11120110=⫏≰22001122","layer":3},{"info":"⫏≰21102021≃⫏≰2011221=⫏≰-1002201112","layer":3},{"info":"⫏≰22001122⪛⫼⫏≰-1002201112=⫏≰-1102021","layer":2},{"info":"⇾⩊⇾⫏≰-1102021=⫏≰10212010","layer":1},{"info":"⫏≰1201200⫒⫫⫏≰10121211=NaN","layer":3},{"info":"∓⪦⫏≰1200211=⫏≰1010201","layer":3},{"info":"NaN∛⫏≰1010201=⫏≰2111","layer":2},{"info":"↑⫏≰2111=⫏≰21010","layer":1},{"info":"⫏≰10212010⋝⋈⪟⫏≰21010=⫏≰10212010","layer":0}]}
{"id":722,"expression_no_base_symbol":"($3136$↳∿⪆$1539$⨒($4882$⩹$7074$)⨑≵⋬(⩎⋉$6560$)⪛⫼($3062$⫳≱↱$3167$))↺($2270$⊮⊟↴$2473$⊉≛↸$4587$⋭≵$3196$)↞⋁(≱⇩⩕($1118$⫔⩽⩺$1033$))","expression":"(⫏≰11022011↳∿⪆⫏≰2010000⨒(⫏≰20200211⩹⫏≰100201000)⨑≵⋬(⩎⋉⫏≰22222222)⪛⫼(⫏≰11012102⫳≱↱⫏≰11100022))↺(⫏≰10010002⊮⊟↴⫏≰10101121⊉≛↸⫏≰20021220⋭≵⫏≰11101101)↞⋁(≱⇩⩕(⫏≰1112102⫔⩽⩺⫏≰1102021))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3296,"operation_count":14,"complexity_ratio":235.42857142857142,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3136,"base":3},"right_expr":{"type":"numeric_atoms","value":1539,"base":3}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4882,"base":3},"right_expr":{"type":"numeric_atoms","value":7074,"base":3}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6560,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3062,"base":3},"right_expr":{"type":"numeric_atoms","value":3167,"base":3}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2270,"base":3},"right_expr":{"type":"numeric_atoms","value":2473,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4587,"base":3},"right_expr":{"type":"numeric_atoms","value":3196,"base":3}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1118,"base":3},"right_expr":{"type":"numeric_atoms","value":1033,"base":3}}}}},"used_operators":["7j4O788W3g","XnXgA4xnOs","y75s1iXyHd","Cw4SuJJGHO","2Wsdkap16l","hyuBjUqXlG","FlXk3pOYe8","ZvLB05nZmT","RqrPlJkxDo","DZ8iAZOCBD","QDVgd2eftb","jBncVCNhdl","3DZMoQKiUl","i9eR4S00cU"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3136","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=3136, right_input=1539, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=4882","layer":4},{"info":"number node, value=7074","layer":4},{"info":"compute binary expreesion, left_input=4882, right_input=7074, 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=7072","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7072, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"number node, value=6560","layer":4},{"info":"compute unary expreesion, input=6560, 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":3},{"info":"number node, value=3062","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=3167, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-204, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1201","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1201, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=2270","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=2473, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=4587","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=4587, right_input=3196, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=1118","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=1033, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, 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=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11022011↳∿⪆⫏≰2010000⨒(⫏≰20200211⩹⫏≰100201000)⨑≵⋬(⩎⋉⫏≰22222222)⪛⫼(⫏≰11012102⫳≱↱⫏≰11100022))↺(⫏≰10010002⊮⊟↴⫏≰10101121⊉≛↸⫏≰20021220⋭≵⫏≰11101101)↞⋁(≱⇩⩕(⫏≰1112102⫔⩽⩺⫏≰1102021))=NaN","reverse_text":"NaN=(⫏≰11022011↳∿⪆⫏≰2010000⨒(⫏≰20200211⩹⫏≰100201000)⨑≵⋬(⩎⋉⫏≰22222222)⪛⫼(⫏≰11012102⫳≱↱⫏≰11100022))↺(⫏≰10010002⊮⊟↴⫏≰10101121⊉≛↸⫏≰20021220⋭≵⫏≰11101101)↞⋁(≱⇩⩕(⫏≰1112102⫔⩽⩺⫏≰1102021))","cot":[{"info":"⫏≰11022011↳∿⪆⫏≰2010000=NaN","layer":3},{"info":"⫏≰20200211⩹⫏≰100201000=⫏≰100200221","layer":3},{"info":"NaN⨒⫏≰100200221=NaN","layer":2},{"info":"⩎⋉⫏≰22222222=⫏≰2021010","layer":3},{"info":"⫏≰11012102⫳≱↱⫏≰11100022=⫏≰-21120","layer":3},{"info":"⫏≰2021010⪛⫼⫏≰-21120=⫏≰-1122111","layer":2},{"info":"NaN⨑≵⋬⫏≰-1122111=NaN","layer":1},{"info":"⫏≰10010002⊮⊟↴⫏≰10101121=⫏≰0","layer":3},{"info":"⫏≰20021220⋭≵⫏≰11101101=⫏≰2111","layer":3},{"info":"⫏≰0⊉≛↸⫏≰2111=⫏≰0","layer":2},{"info":"⫏≰1112102⫔⩽⩺⫏≰1102021=NaN","layer":3},{"info":"≱⇩⩕NaN=NaN","layer":2},{"info":"⫏≰0↞⋁NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"(⨑⩽⪐$1029$≁$6138$↳∿⪆$1128$⨑⩅≇$2234$)∲⫓(⪭⩑⪱($2518$⋥⋵⩄$4123$/$5711$⪎↠$1632$))","expression":"(⨑⩽⪐⫏≰1102010≁⫏≰22102100↳∿⪆⫏≰1112210⨑⩅≇⫏≰10001202)∲⫓(⪭⩑⪱(⫏≰10110021⋥⋵⩄⫏≰12122201/⫏≰21211112⪎↠⫏≰2020110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5649,"operation_count":9,"complexity_ratio":627.6666666666666,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1029,"base":3},"right_expr":{"type":"numeric_atoms","value":6138,"base":3}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1128,"base":3},"right_expr":{"type":"numeric_atoms","value":2234,"base":3}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2518,"base":3},"right_expr":{"type":"numeric_atoms","value":4123,"base":3}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5711,"base":3},"right_expr":{"type":"numeric_atoms","value":1632,"base":3}}}}},"used_operators":["i8ToyICDmI","AF7qkfDlqP","Cw4SuJJGHO","8N2wDY1A35","h92wMvzauj","SIgE0bArFf","XhwjNDsVaA","7t3wd0Fuz7","3tVxb0NHM4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=6138","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=6138, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=134111","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=2234, 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=-3384","layer":3},{"info":"compute binary expreesion, left_input=134111, right_input=-3384, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"number node, value=2518","layer":4},{"info":"number node, value=4123","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=4123, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=5711","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=5711, right_input=1632, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=160, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⨑⩽⪐⫏≰1102010≁⫏≰22102100↳∿⪆⫏≰1112210⨑⩅≇⫏≰10001202)∲⫓(⪭⩑⪱(⫏≰10110021⋥⋵⩄⫏≰12122201/⫏≰21211112⪎↠⫏≰2020110))=⫏≰0","reverse_text":"⫏≰0=(⨑⩽⪐⫏≰1102010≁⫏≰22102100↳∿⪆⫏≰1112210⨑⩅≇⫏≰10001202)∲⫓(⪭⩑⪱(⫏≰10110021⋥⋵⩄⫏≰12122201/⫏≰21211112⪎↠⫏≰2020110))","cot":[{"info":"⫏≰1102010≁⫏≰22102100=⫏≰20210222002","layer":3},{"info":"⫏≰1112210⨑⩅≇⫏≰10001202=⫏≰-11122100","layer":3},{"info":"⫏≰20210222002↳∿⪆⫏≰-11122100=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫏≰10110021⋥⋵⩄⫏≰12122201=⫏≰11012","layer":3},{"info":"⫏≰21211112⪎↠⫏≰2020110=⫏≰12221","layer":3},{"info":"⫏≰11012/⫏≰12221=⫏≰0","layer":2},{"info":"⪭⩑⪱⫏≰0=⫏≰120122201221000","layer":1},{"info":"NaN∲⫓⫏≰120122201221000=⫏≰0","layer":0}]}
{"id":724,"expression_no_base_symbol":"((↩⪖($6349$⋓$1139$))+⇶⊼($2566$⨑≵⋬$2679$⪒$1642$⨽$2018$))⋩≍≻","expression":"((↩⪖(⫏≰22201011⋓⫏≰1120012))+⇶⊼(⫏≰10112001⨑≵⋬⫏≰10200020⪒⫏≰2020211⨽⫏≰2202202))⋩≍≻","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1721,"operation_count":7,"complexity_ratio":245.85714285714286,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6349,"base":3},"right_expr":{"type":"numeric_atoms","value":1139,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2566,"base":3},"right_expr":{"type":"numeric_atoms","value":2679,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1642,"base":3},"right_expr":{"type":"numeric_atoms","value":2018,"base":3}}}}},"used_operators":["WYd1w68Nbz","TpPTUOHfaN","fG6uBQFnGz","T2fj7uvVaJ","f6k1SAg4EE","XnXgA4xnOs","8HhzD0ZcuI"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6349","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=6349, right_input=1139, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2982","layer":2},{"info":"number node, value=2566","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=2566, right_input=2679, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-4544","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=2018","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=2018, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8093232","layer":3},{"info":"compute binary expreesion, left_input=-4544, right_input=-8093232, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8097776","layer":2},{"info":"compute binary expreesion, left_input=-2982, right_input=8097776, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↩⪖(⫏≰22201011⋓⫏≰1120012))+⇶⊼(⫏≰10112001⨑≵⋬⫏≰10200020⪒⫏≰2020211⨽⫏≰2202202))⋩≍≻=NaN","reverse_text":"NaN=((↩⪖(⫏≰22201011⋓⫏≰1120012))+⇶⊼(⫏≰10112001⨑≵⋬⫏≰10200020⪒⫏≰2020211⨽⫏≰2202202))⋩≍≻","cot":[{"info":"⫏≰22201011⋓⫏≰1120012=⫏≰0","layer":3},{"info":"↩⪖⫏≰0=⫏≰-11002110","layer":2},{"info":"⫏≰10112001⨑≵⋬⫏≰10200020=⫏≰-20020022","layer":3},{"info":"⫏≰2020211⨽⫏≰2202202=⫏≰-120020011211100","layer":3},{"info":"⫏≰-20020022⪒⫏≰-120020011211100=⫏≰120020102001122","layer":2},{"info":"⫏≰-11002110+⇶⊼⫏≰120020102001122=NaN","layer":1},{"info":"NaN⋩≍≻=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"($3362$≓∲$1019$)∴($4127$⇉⇱⇎)≒∊(⊆⋠($2872$⪛$2461$))⋻⩜⩜((∷≠$1312$)≁(↣≠⋷$6966$)⨑≵⋬$6591$⊢$6621$⪚($3536$⪒$2883$))","expression":"(⫏≰11121112≓∲⫏≰1101202)∴(⫏≰12122212⇉⇱⇎)≒∊(⊆⋠(⫏≰10221101⪛⫏≰10101011))⋻⩜⩜((∷≠⫏≰1210121)≁(↣≠⋷⫏≰100120000)⨑≵⋬⫏≰100001010⊢⫏≰100002020⪚(⫏≰11211222⪒⫏≰10221210))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":280,"operation_count":14,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3362,"base":3},"right_expr":{"type":"numeric_atoms","value":1019,"base":3}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4127,"base":3}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2872,"base":3},"right_expr":{"type":"numeric_atoms","value":2461,"base":3}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1312,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6966,"base":3}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":6591,"base":3},"right_expr":{"type":"numeric_atoms","value":6621,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3536,"base":3},"right_expr":{"type":"numeric_atoms","value":2883,"base":3}}}}},"used_operators":["oDCm7WA9JY","5KTvxBwnZo","hrf7POJlIJ","s1XTVnmDOJ","MRPaB8lBjK","EBhcHTkKd8","uFcxV4UQCh","XnXgA4xnOs","8N2wDY1A35","QiR2Oyf5Xj","Asc51vEJeQ","HrjLwUk87U","5twsqlHp2o","f6k1SAg4EE"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","7j4O788W3g","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3362","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=1019, 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=34403","layer":3},{"info":"number node, value=4127","layer":4},{"info":"compute unary expreesion, input=4127, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-3909","layer":3},{"info":"compute binary expreesion, left_input=34403, right_input=-3909, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=70454","layer":2},{"info":"number node, value=2872","layer":4},{"info":"number node, value=2461","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=2461, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=411","layer":3},{"info":"compute unary expreesion, input=411, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"compute binary expreesion, left_input=70454, right_input=348, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-69970","layer":1},{"info":"number node, value=1312","layer":4},{"info":"compute unary expreesion, input=1312, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1312","layer":3},{"info":"number node, value=6966","layer":4},{"info":"compute unary expreesion, input=6966, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1312, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"number node, value=6591","layer":4},{"info":"number node, value=6621","layer":4},{"info":"compute binary expreesion, left_input=6591, right_input=6621, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-13426","layer":3},{"info":"number node, value=3536","layer":4},{"info":"number node, value=2883","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=2883, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6419","layer":3},{"info":"compute binary expreesion, left_input=-13426, right_input=-6419, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=25976","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=25976, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-69970, right_input=nan, 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":3,"result_base":3,"text":"(⫏≰11121112≓∲⫏≰1101202)∴(⫏≰12122212⇉⇱⇎)≒∊(⊆⋠(⫏≰10221101⪛⫏≰10101011))⋻⩜⩜((∷≠⫏≰1210121)≁(↣≠⋷⫏≰100120000)⨑≵⋬⫏≰100001010⊢⫏≰100002020⪚(⫏≰11211222⪒⫏≰10221210))=NaN","reverse_text":"NaN=(⫏≰11121112≓∲⫏≰1101202)∴(⫏≰12122212⇉⇱⇎)≒∊(⊆⋠(⫏≰10221101⪛⫏≰10101011))⋻⩜⩜((∷≠⫏≰1210121)≁(↣≠⋷⫏≰100120000)⨑≵⋬⫏≰100001010⊢⫏≰100002020⪚(⫏≰11211222⪒⫏≰10221210))","cot":[{"info":"⫏≰11121112≓∲⫏≰1101202=⫏≰1202012012","layer":3},{"info":"⫏≰12122212⇉⇱⇎=⫏≰-12100210","layer":3},{"info":"⫏≰1202012012∴⫏≰-12100210=⫏≰10120122102","layer":2},{"info":"⫏≰10221101⪛⫏≰10101011=⫏≰120020","layer":3},{"info":"⊆⋠⫏≰120020=⫏≰110220","layer":2},{"info":"⫏≰10120122102≒∊⫏≰110220=⫏≰-10112222111","layer":1},{"info":"∷≠⫏≰1210121=⫏≰1210121","layer":3},{"info":"↣≠⋷⫏≰100120000=NaN","layer":3},{"info":"⫏≰1210121≁NaN=NaN","layer":2},{"info":"⫏≰100001010⊢⫏≰100002020=⫏≰-200102021","layer":3},{"info":"⫏≰11211222⪒⫏≰10221210=⫏≰-22210202","layer":3},{"info":"⫏≰-200102021⪚⫏≰-22210202=⫏≰1022122002","layer":2},{"info":"NaN⨑≵⋬⫏≰1022122002=NaN","layer":1},{"info":"⫏≰-10112222111⋻⩜⩜NaN=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"(⇁⨣⪵(≦∁$2739$)⨰($1601$⋓$1264$))∘(((⨝⨆$1594$)⊦⊿)⋣⋖($3426$⊨$3555$)⇂≾⫗($1633$⋝⋈⪟$6293$))","expression":"(⇁⨣⪵(≦∁⫏≰10202110)⨰(⫏≰2012022⋓⫏≰1201211))∘(((⨝⨆⫏≰2012001)⊦⊿)⋣⋖(⫏≰11200220⊨⫏≰11212200)⇂≾⫗(⫏≰2020111⋝⋈⪟⫏≰22122002))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3517,"operation_count":11,"complexity_ratio":319.72727272727275,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2739,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1601,"base":3},"right_expr":{"type":"numeric_atoms","value":1264,"base":3}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1594,"base":3}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3426,"base":3},"right_expr":{"type":"numeric_atoms","value":3555,"base":3}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1633,"base":3},"right_expr":{"type":"numeric_atoms","value":6293,"base":3}}}}},"used_operators":["Z5m6OM72h2","inkyxCbjAn","eewbuw0ToL","9ICcGScMcE","T2fj7uvVaJ","J0M6qkBnIM","14qkJME0vr","bQ67fsrMVf","aBQ6xLxuTc","vg4gO5BX6G","2DDjHMKMc0"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2739","layer":4},{"info":"compute unary expreesion, input=2739, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2739","layer":3},{"info":"number node, value=1601","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=1264, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2739, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2749","layer":2},{"info":"compute unary expreesion, input=2749, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1385","layer":3},{"info":"compute unary expreesion, input=1385, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4234","layer":2},{"info":"number node, value=3426","layer":4},{"info":"number node, value=3555","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=3555, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=14735","layer":3},{"info":"number node, value=1633","layer":4},{"info":"number node, value=6293","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=6293, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1633","layer":3},{"info":"compute binary expreesion, left_input=14735, right_input=1633, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=-4234, right_input=-676, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇁⨣⪵(≦∁⫏≰10202110)⨰(⫏≰2012022⋓⫏≰1201211))∘(((⨝⨆⫏≰2012001)⊦⊿)⋣⋖(⫏≰11200220⊨⫏≰11212200)⇂≾⫗(⫏≰2020111⋝⋈⪟⫏≰22122002))=NaN","reverse_text":"NaN=(⇁⨣⪵(≦∁⫏≰10202110)⨰(⫏≰2012022⋓⫏≰1201211))∘(((⨝⨆⫏≰2012001)⊦⊿)⋣⋖(⫏≰11200220⊨⫏≰11212200)⇂≾⫗(⫏≰2020111⋝⋈⪟⫏≰22122002))","cot":[{"info":"≦∁⫏≰10202110=⫏≰10202110","layer":3},{"info":"⫏≰2012022⋓⫏≰1201211=⫏≰0","layer":3},{"info":"⫏≰10202110⨰⫏≰0=⫏≰10202211","layer":2},{"info":"⇁⨣⪵⫏≰10202211=NaN","layer":1},{"info":"⨝⨆⫏≰2012001=⫏≰1220022","layer":3},{"info":"⫏≰1220022⊦⊿=⫏≰-12210211","layer":2},{"info":"⫏≰11200220⊨⫏≰11212200=⫏≰202012202","layer":3},{"info":"⫏≰2020111⋝⋈⪟⫏≰22122002=⫏≰2020111","layer":3},{"info":"⫏≰202012202⇂≾⫗⫏≰2020111=⫏≰-221001","layer":2},{"info":"⫏≰-12210211⋣⋖⫏≰-221001=⫏≰-201112","layer":1},{"info":"NaN∘⫏≰-201112=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"(($1392$↫)≌(≋$6055$)⨪↰⇹(($1897$↙$2448$)∧))⊝⪿⪼($2693$≁↽≥$3989$⋥≓≎(↯⪼$7352$)⇮⋭(($2364$⩵∡$6520$)⇞))","expression":"((⫏≰1220120↫)≌(≋⫏≰22022021)⨪↰⇹((⫏≰2121021↙⫏≰10100200)∧))⊝⪿⪼(⫏≰10200202≁↽≥⫏≰12110202⋥≓≎(↯⪼⫏≰101002022)⇮⋭((⫏≰10020120⩵∡⫏≰22221111)⇞))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8793,"operation_count":13,"complexity_ratio":676.3846153846154,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1392,"base":3}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":6055,"base":3}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1897,"base":3},"right_expr":{"type":"numeric_atoms","value":2448,"base":3}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2693,"base":3},"right_expr":{"type":"numeric_atoms","value":3989,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":7352,"base":3}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2364,"base":3},"right_expr":{"type":"numeric_atoms","value":6520,"base":3}}}}},"used_operators":["3Oe9XWJUTD","tmPS8pqC7x","lyWz822IDG","uPb5QRN0te","61wBmkZwlr","z63VuFQld9","yyfyN0ffXY","vkpjKywKVM","Qy55tPpLXF","ncHt1X6cMc","8jW3W4yZS5","5JYyxRJd4f","Y7wcNGrDQJ"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rJVOvQCfKK","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","7j4O788W3g","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=6055","layer":4},{"info":"compute unary expreesion, input=6055, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=6055","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6055, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=1897","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=2448, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7344","layer":3},{"info":"compute unary expreesion, input=-7344, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2693","layer":4},{"info":"number node, value=3989","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=3989, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=50327","layer":3},{"info":"number node, value=7352","layer":4},{"info":"compute unary expreesion, input=7352, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=50327, right_input=-21, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-50336","layer":2},{"info":"number node, value=2364","layer":4},{"info":"number node, value=6520","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=6520, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1671","layer":3},{"info":"compute unary expreesion, input=1671, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=6597","layer":2},{"info":"compute binary expreesion, left_input=-50336, right_input=6597, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1220120↫)≌(≋⫏≰22022021)⨪↰⇹((⫏≰2121021↙⫏≰10100200)∧))⊝⪿⪼(⫏≰10200202≁↽≥⫏≰12110202⋥≓≎(↯⪼⫏≰101002022)⇮⋭((⫏≰10020120⩵∡⫏≰22221111)⇞))=NaN","reverse_text":"NaN=((⫏≰1220120↫)≌(≋⫏≰22022021)⨪↰⇹((⫏≰2121021↙⫏≰10100200)∧))⊝⪿⪼(⫏≰10200202≁↽≥⫏≰12110202⋥≓≎(↯⪼⫏≰101002022)⇮⋭((⫏≰10020120⩵∡⫏≰22221111)⇞))","cot":[{"info":"⫏≰1220120↫=⫏≰12221","layer":3},{"info":"≋⫏≰22022021=⫏≰22022021","layer":3},{"info":"⫏≰12221≌⫏≰22022021=NaN","layer":2},{"info":"⫏≰2121021↙⫏≰10100200=⫏≰-101002000","layer":3},{"info":"⫏≰-101002000∧=⫏≰0","layer":2},{"info":"NaN⨪↰⇹⫏≰0=NaN","layer":1},{"info":"⫏≰10200202≁↽≥⫏≰12110202=⫏≰2120000222","layer":3},{"info":"↯⪼⫏≰101002022=⫏≰-210","layer":3},{"info":"⫏≰2120000222⋥≓≎⫏≰-210=⫏≰-2120001022","layer":2},{"info":"⫏≰10020120⩵∡⫏≰22221111=⫏≰2021220","layer":3},{"info":"⫏≰2021220⇞=⫏≰100001100","layer":2},{"info":"⫏≰-2120001022⇮⋭⫏≰100001100=⫏≰2111","layer":1},{"info":"NaN⊝⪿⪼⫏≰2111=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"((∥⊫$5863$)⫦⪉(⇾⩊⇾$2518$)⪁(∓$9411$)%$3858$⩇∃⫛$8944$)∌((⇙⪊($2123$⩟))⇴∐(⪲⇎$3525$⇻⋧≁$3444$))","expression":"((∥⊫⫏≰22001011)⫦⪉(⇾⩊⇾⫏≰10110021)⪁(∓⫏≰110220120)%⫏≰12021220⩇∃⫛⫏≰110021021)∌((⇙⪊(⫏≰2220122⩟))⇴∐(⪲⇎⫏≰11211120⇻⋧≁⫏≰11201120))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":200254438,"operation_count":13,"complexity_ratio":15404187.538461538,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5863,"base":3}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2518,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":9411,"base":3}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3858,"base":3},"right_expr":{"type":"numeric_atoms","value":8944,"base":3}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":2123,"base":3}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3525,"base":3},"right_expr":{"type":"numeric_atoms","value":3444,"base":3}}}}},"used_operators":["8cLx32lpNA","I7sXao9hZE","wscyQdcy20","P8v4zCKN1o","bx9Z9DAK5y","k8jYdgA6NY","OwUj7dcsQK","1aApVXNlOP","HnzytWxmAO","pB6Fcnrjim","fOIeswaMU4","XPYlsWDdGa","jCPkEVoL5K"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⫏≰11022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5863","layer":4},{"info":"compute unary expreesion, input=5863, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6731","layer":3},{"info":"number node, value=2518","layer":4},{"info":"compute unary expreesion, input=2518, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-29148","layer":3},{"info":"compute binary expreesion, left_input=6731, right_input=-29148, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8562","layer":2},{"info":"number node, value=9411","layer":4},{"info":"compute unary expreesion, input=9411, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-146037","layer":3},{"info":"number node, value=3858","layer":4},{"info":"number node, value=8944","layer":4},{"info":"compute binary expreesion, left_input=3858, right_input=8944, 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=5559","layer":3},{"info":"compute binary expreesion, left_input=-146037, right_input=5559, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4056","layer":2},{"info":"compute binary expreesion, left_input=-8562, right_input=4056, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=2123","layer":4},{"info":"compute unary expreesion, input=2123, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-17880","layer":3},{"info":"compute unary expreesion, input=-17880, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=3525","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=3444, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-894","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-894, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=116","layer":0}],"base":3,"result_base":3,"text":"((∥⊫⫏≰22001011)⫦⪉(⇾⩊⇾⫏≰10110021)⪁(∓⫏≰110220120)%⫏≰12021220⩇∃⫛⫏≰110021021)∌((⇙⪊(⫏≰2220122⩟))⇴∐(⪲⇎⫏≰11211120⇻⋧≁⫏≰11201120))=⫏≰11022","reverse_text":"⫏≰11022=((∥⊫⫏≰22001011)⫦⪉(⇾⩊⇾⫏≰10110021)⪁(∓⫏≰110220120)%⫏≰12021220⩇∃⫛⫏≰110021021)∌((⇙⪊(⫏≰2220122⩟))⇴∐(⪲⇎⫏≰11211120⇻⋧≁⫏≰11201120))","cot":[{"info":"∥⊫⫏≰22001011=⫏≰100020022","layer":3},{"info":"⇾⩊⇾⫏≰10110021=⫏≰-1110222120","layer":3},{"info":"⫏≰100020022⫦⪉⫏≰-1110222120=⫏≰-102202010","layer":2},{"info":"∓⫏≰110220120=⫏≰-21102022210","layer":3},{"info":"⫏≰12021220⩇∃⫛⫏≰110021021=⫏≰21121220","layer":3},{"info":"⫏≰-21102022210%⫏≰21121220=⫏≰12120020","layer":2},{"info":"⫏≰-102202010⪁⫏≰12120020=NaN","layer":1},{"info":"⫏≰2220122⩟=⫏≰-220112020","layer":3},{"info":"⇙⪊⫏≰-220112020=⫏≰0","layer":2},{"info":"⫏≰11211120⇻⋧≁⫏≰11201120=⫏≰-121120","layer":3},{"info":"⪲⇎⫏≰-121120=⫏≰-1020010","layer":2},{"info":"⫏≰0⇴∐⫏≰-1020010=⫏≰-11022","layer":1},{"info":"NaN∌⫏≰-11022=⫏≰11022","layer":0}]}
{"id":729,"expression_no_base_symbol":"(($2271$⋷$4549$)⇷($3850$∲⫓$4954$))⫉⨲⊜(⩰($5685$⫠↝⫳))≭((∟⋨$5911$)⪶≀⋏(⇾⩊⇾$1440$)∙⊟$4539$⨚$2436$⩷∴(∂$6763$))","expression":"((⫏≰10010010⋷⫏≰20020111)⇷(⫏≰12021121∲⫓⫏≰20210111))⫉⨲⊜(⩰(⫏≰21210120⫠↝⫳))≭((∟⋨⫏≰22002221)⪶≀⋏(⇾⩊⇾⫏≰1222100)∙⊟⫏≰20020010⨚⫏≰10100020⩷∴(∂⫏≰100021111))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":257217,"operation_count":14,"complexity_ratio":18372.64285714286,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2271,"base":3},"right_expr":{"type":"numeric_atoms","value":4549,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3850,"base":3},"right_expr":{"type":"numeric_atoms","value":4954,"base":3}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":5685,"base":3}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":5911,"base":3}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1440,"base":3}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4539,"base":3},"right_expr":{"type":"numeric_atoms","value":2436,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6763,"base":3}}}}},"used_operators":["rxpJgHHUmx","WhqkvtTD3t","mp7IySMOzn","23Mk6UjR3U","i8ToyICDmI","WkeUrDK8WX","8n5YIzOsVS","SxTAKzQCrw","zR4jO40bMj","ctOc4cKSDt","bx9Z9DAK5y","9FxExcQeMw","nREPSIbpBE","Uaa54Peajs"],"dependent_operators":["AHs5Up7iyr","eewbuw0ToL","zVYPLywUTj","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","tmPS8pqC7x","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","BjRHVeLaeN","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2271","layer":4},{"info":"number node, value=4549","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=4549, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6827","layer":3},{"info":"number node, value=3850","layer":4},{"info":"number node, value=4954","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=4954, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6827, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=5685","layer":4},{"info":"compute unary expreesion, input=5685, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=182543","layer":3},{"info":"compute unary expreesion, input=182543, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-183543","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-183543, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-183653","layer":1},{"info":"number node, value=5911","layer":4},{"info":"compute unary expreesion, input=5911, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-5427","layer":3},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-19446","layer":3},{"info":"compute binary expreesion, left_input=-5427, right_input=-19446, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-155568","layer":2},{"info":"number node, value=4539","layer":4},{"info":"number node, value=2436","layer":4},{"info":"compute binary expreesion, left_input=4539, right_input=2436, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=268","layer":3},{"info":"number node, value=6763","layer":4},{"info":"compute unary expreesion, input=6763, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=268, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-155568, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=2038128","layer":1},{"info":"compute binary expreesion, left_input=-183653, right_input=2038128, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"((⫏≰10010010⋷⫏≰20020111)⇷(⫏≰12021121∲⫓⫏≰20210111))⫉⨲⊜(⩰(⫏≰21210120⫠↝⫳))≭((∟⋨⫏≰22002221)⪶≀⋏(⇾⩊⇾⫏≰1222100)∙⊟⫏≰20020010⨚⫏≰10100020⩷∴(∂⫏≰100021111))=NaN","reverse_text":"NaN=((⫏≰10010010⋷⫏≰20020111)⇷(⫏≰12021121∲⫓⫏≰20210111))⫉⨲⊜(⩰(⫏≰21210120⫠↝⫳))≭((∟⋨⫏≰22002221)⪶≀⋏(⇾⩊⇾⫏≰1222100)∙⊟⫏≰20020010⨚⫏≰10100020⩷∴(∂⫏≰100021111))","cot":[{"info":"⫏≰10010010⋷⫏≰20020111=⫏≰100100212","layer":3},{"info":"⫏≰12021121∲⫓⫏≰20210111=⫏≰0","layer":3},{"info":"⫏≰100100212⇷⫏≰0=⫏≰0","layer":2},{"info":"⫏≰21210120⫠↝⫳=⫏≰100021101212","layer":3},{"info":"⩰⫏≰100021101212=⫏≰-100022202220","layer":2},{"info":"⫏≰0⫉⨲⊜⫏≰-100022202220=⫏≰-100022220222","layer":1},{"info":"∟⋨⫏≰22002221=⫏≰-21110000","layer":3},{"info":"⇾⩊⇾⫏≰1222100=⫏≰-222200020","layer":3},{"info":"⫏≰-21110000⪶≀⋏⫏≰-222200020=⫏≰-21220101210","layer":2},{"info":"⫏≰20020010⨚⫏≰10100020=⫏≰100221","layer":3},{"info":"∂⫏≰100021111=NaN","layer":3},{"info":"⫏≰100221⩷∴NaN=NaN","layer":2},{"info":"⫏≰-21220101210∙⊟NaN=⫏≰10211112210020","layer":1},{"info":"⫏≰-100022220222≭⫏≰10211112210020=NaN","layer":0}]}
{"id":730,"expression_no_base_symbol":"(⇖⫷⫕(↸⊣($3504$⨪↰⇹$5111$)))⫡⨏(⩒∊$1999$)⩦($1155$⨕⋳)⪶≀⋏($1058$≨$7175$)⫯⪬∳($1412$⩏)","expression":"(⇖⫷⫕(↸⊣(⫏≰11210210⨪↰⇹⫏≰21000022)))⫡⨏(⩒∊⫏≰2202001)⩦(⫏≰1120210⨕⋳)⪶≀⋏(⫏≰1110012≨⫏≰100211202)⫯⪬∳(⫏≰1221022⩏)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5030,"operation_count":11,"complexity_ratio":457.27272727272725,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3504,"base":3},"right_expr":{"type":"numeric_atoms","value":5111,"base":3}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1999,"base":3}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1155,"base":3}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1058,"base":3},"right_expr":{"type":"numeric_atoms","value":7175,"base":3}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1412,"base":3}}}}},"used_operators":["QMFrweE19q","UHmRx3INFg","wztAlM01eG","tmPS8pqC7x","zR4jO40bMj","0kmYd0q39Y","qazvmhNBbN","4X4GscPmMf","d7ASUq0ydm","0KMCeP1Jsh","iA2gmKZ3Wj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","z6LnFrNh4i","Tcnh7f0tEr"],"result":"⫏≰-20002100202","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3504","layer":4},{"info":"number node, value=5111","layer":4},{"info":"compute binary expreesion, left_input=3504, right_input=5111, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3504","layer":3},{"info":"compute unary expreesion, input=3504, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3217","layer":2},{"info":"compute unary expreesion, input=-3217, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=1999","layer":4},{"info":"compute unary expreesion, input=1999, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=3241","layer":3},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=21268","layer":3},{"info":"compute binary expreesion, left_input=3241, right_input=21268, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6482","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=7175","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=7175, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8104","layer":3},{"info":"number node, value=1412","layer":4},{"info":"compute unary expreesion, input=1412, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8104, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=23839","layer":2},{"info":"compute binary expreesion, left_input=6482, right_input=23839, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-67356","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-67356, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-119819","layer":0}],"base":3,"result_base":3,"text":"(⇖⫷⫕(↸⊣(⫏≰11210210⨪↰⇹⫏≰21000022)))⫡⨏(⩒∊⫏≰2202001)⩦(⫏≰1120210⨕⋳)⪶≀⋏(⫏≰1110012≨⫏≰100211202)⫯⪬∳(⫏≰1221022⩏)=⫏≰-20002100202","reverse_text":"⫏≰-20002100202=(⇖⫷⫕(↸⊣(⫏≰11210210⨪↰⇹⫏≰21000022)))⫡⨏(⩒∊⫏≰2202001)⩦(⫏≰1120210⨕⋳)⪶≀⋏(⫏≰1110012≨⫏≰100211202)⫯⪬∳(⫏≰1221022⩏)","cot":[{"info":"⫏≰11210210⨪↰⇹⫏≰21000022=⫏≰11210210","layer":3},{"info":"↸⊣⫏≰11210210=⫏≰-11102011","layer":2},{"info":"⇖⫷⫕⫏≰-11102011=⫏≰10212112","layer":1},{"info":"⩒∊⫏≰2202001=⫏≰11110001","layer":3},{"info":"⫏≰1120210⨕⋳=⫏≰1002011201","layer":3},{"info":"⫏≰11110001⩦⫏≰1002011201=⫏≰22220002","layer":2},{"info":"⫏≰1110012≨⫏≰100211202=⫏≰-102010011","layer":3},{"info":"⫏≰1221022⩏=⫏≰0","layer":3},{"info":"⫏≰-102010011⫯⪬∳⫏≰0=⫏≰1012200221","layer":2},{"info":"⫏≰22220002⪶≀⋏⫏≰1012200221=⫏≰-10102101200","layer":1},{"info":"⫏≰10212112⫡⨏⫏≰-10102101200=⫏≰-20002100202","layer":0}]}
{"id":731,"expression_no_base_symbol":"⪹(⩏⊷≩(($1336$⩤)⨑≵⋬$2292$∑⇟⊟$6178$))","expression":"⪹(⩏⊷≩((⫏≰1211111⩤)⨑≵⋬⫏≰10010220∑⇟⊟⫏≰22110211))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":40,"operation_count":5,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1336,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2292,"base":3},"right_expr":{"type":"numeric_atoms","value":6178,"base":3}}}}},"used_operators":["USyYr0JgAa","uOZ1tnYMDE","XnXgA4xnOs","Z2TMIBDE3Q","U7g4x0WXJJ"],"dependent_operators":["tifHPKVTfV","23Mk6UjR3U","12rbrZMWeM","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1336","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=6178","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=6178, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1336, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪹(⩏⊷≩((⫏≰1211111⩤)⨑≵⋬⫏≰10010220∑⇟⊟⫏≰22110211))=NaN","reverse_text":"NaN=⪹(⩏⊷≩((⫏≰1211111⩤)⨑≵⋬⫏≰10010220∑⇟⊟⫏≰22110211))","cot":[{"info":"⫏≰1211111⩤=⫏≰-1211111","layer":3},{"info":"⫏≰10010220∑⇟⊟⫏≰22110211=NaN","layer":3},{"info":"⫏≰-1211111⨑≵⋬NaN=NaN","layer":2},{"info":"⩏⊷≩NaN=NaN","layer":1},{"info":"⪹NaN=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"((≯$2199$)⫉⨲⊜(∑⇻≧$2475$)⪢($2464$⨔≚≋$1203$⩚⊴⇥$1275$⪡$1037$))⩼⇪↪(((⋠∜$6907$)⋅⇍$2523$⩼⇪↪$7407$)∑⇟⊟($2151$⇴∐$1827$)⊱⇼⊻($1914$⪛⫼$4734$))","expression":"((≯⫏≰10000110)⫉⨲⊜(∑⇻≧⫏≰10101200)⪢(⫏≰10101021⨔≚≋⫏≰1122120⩚⊴⇥⫏≰1202020⪡⫏≰1102102))⩼⇪↪(((⋠∜⫏≰100110211)⋅⇍⫏≰10110110⩼⇪↪⫏≰101011100)∑⇟⊟(⫏≰2221200⇴∐⫏≰2111200)⊱⇼⊻(⫏≰2121220⪛⫼⫏≰20111100))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10383,"operation_count":15,"complexity_ratio":692.2,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2199,"base":3}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2475,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2464,"base":3},"right_expr":{"type":"numeric_atoms","value":1203,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1275,"base":3},"right_expr":{"type":"numeric_atoms","value":1037,"base":3}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":6907,"base":3}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2523,"base":3},"right_expr":{"type":"numeric_atoms","value":7407,"base":3}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2151,"base":3},"right_expr":{"type":"numeric_atoms","value":1827,"base":3}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1914,"base":3},"right_expr":{"type":"numeric_atoms","value":4734,"base":3}}}}},"used_operators":["ocnLzx9CaJ","dWAJyo7jo9","WhqkvtTD3t","keWfFq85dY","l1M9WJ3V7u","NTOWxs364D","Z57zeUYC9z","oraRL2iQuh","U7g4x0WXJJ","AdZkA7nFnk","ZJpFhNJr3x","FyVja0WsTP","HnzytWxmAO","hyuBjUqXlG"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","k8jYdgA6NY","eewbuw0ToL","zVYPLywUTj","g55IO6H4Gj","JLbD19bQDL","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2199","layer":4},{"info":"compute unary expreesion, input=2199, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2475","layer":4},{"info":"compute unary expreesion, input=2475, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-852, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-962","layer":2},{"info":"number node, value=2464","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=1203, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=1037, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=107, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10100","layer":2},{"info":"compute binary expreesion, left_input=-962, right_input=-10100, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6907","layer":4},{"info":"compute unary expreesion, input=6907, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=29912","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=7407","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=7407, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-47586","layer":3},{"info":"compute binary expreesion, left_input=29912, right_input=-47586, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-30485","layer":2},{"info":"number node, value=2151","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=2151, right_input=1827, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1914","layer":4},{"info":"number node, value=4734","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=4734, 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":3},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30485, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((≯⫏≰10000110)⫉⨲⊜(∑⇻≧⫏≰10101200)⪢(⫏≰10101021⨔≚≋⫏≰1122120⩚⊴⇥⫏≰1202020⪡⫏≰1102102))⩼⇪↪(((⋠∜⫏≰100110211)⋅⇍⫏≰10110110⩼⇪↪⫏≰101011100)∑⇟⊟(⫏≰2221200⇴∐⫏≰2111200)⊱⇼⊻(⫏≰2121220⪛⫼⫏≰20111100))=NaN","reverse_text":"NaN=((≯⫏≰10000110)⫉⨲⊜(∑⇻≧⫏≰10101200)⪢(⫏≰10101021⨔≚≋⫏≰1122120⩚⊴⇥⫏≰1202020⪡⫏≰1102102))⩼⇪↪(((⋠∜⫏≰100110211)⋅⇍⫏≰10110110⩼⇪↪⫏≰101011100)∑⇟⊟(⫏≰2221200⇴∐⫏≰2111200)⊱⇼⊻(⫏≰2121220⪛⫼⫏≰20111100))","cot":[{"info":"≯⫏≰10000110=⫏≰0","layer":3},{"info":"∑⇻≧⫏≰10101200=⫏≰-1011120","layer":3},{"info":"⫏≰0⫉⨲⊜⫏≰-1011120=⫏≰-1022122","layer":2},{"info":"⫏≰10101021⨔≚≋⫏≰1122120=⫏≰111112122","layer":3},{"info":"⫏≰1202020⪡⫏≰1102102=⫏≰10222","layer":3},{"info":"⫏≰111112122⩚⊴⇥⫏≰10222=⫏≰-111212002","layer":2},{"info":"⫏≰-1022122⪢⫏≰-111212002=NaN","layer":1},{"info":"⋠∜⫏≰100110211=⫏≰1112000212","layer":3},{"info":"⫏≰10110110⩼⇪↪⫏≰101011100=⫏≰-2102021110","layer":3},{"info":"⫏≰1112000212⋅⇍⫏≰-2102021110=⫏≰-1112211002","layer":2},{"info":"⫏≰2221200⇴∐⫏≰2111200=NaN","layer":3},{"info":"⫏≰2121220⪛⫼⫏≰20111100=⫏≰1022212","layer":3},{"info":"NaN⊱⇼⊻⫏≰1022212=NaN","layer":2},{"info":"⫏≰-1112211002∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⩼⇪↪NaN=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"(⊿($5374$≳⇉$2470$)⨪↰⇹($1028$⫡⨏$3661$))⩼⇪↪((($3404$∐⫣)∖$1121$⫒⫫$2070$)⋅⇍(⇤←$2022$)⨓(∓$5908$))","expression":"(⊿(⫏≰21101001≳⇉⫏≰10101111)⨪↰⇹(⫏≰1102002⫡⨏⫏≰12000121))⩼⇪↪(((⫏≰11200002∐⫣)∖⫏≰1112112⫒⫫⫏≰2211200)⋅⇍(⇤←⫏≰2202220)⨓(∓⫏≰22002211))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":85366499,"operation_count":12,"complexity_ratio":7113874.916666667,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5374,"base":3},"right_expr":{"type":"numeric_atoms","value":2470,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1028,"base":3},"right_expr":{"type":"numeric_atoms","value":3661,"base":3}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3404,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1121,"base":3},"right_expr":{"type":"numeric_atoms","value":2070,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2022,"base":3}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":5908,"base":3}}}}},"used_operators":["ocnLzx9CaJ","DO4fhlbJSI","tmPS8pqC7x","V0kx6qeWkN","QMFrweE19q","AdZkA7nFnk","tXD093vOjl","4CyGpkTkEk","6Ko8hGgeMq","3ViojmjbAp","jfAgQ2OQeM","OwUj7dcsQK"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rJVOvQCfKK","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5374","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=5374, right_input=2470, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=3661","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=3661, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13245","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13245, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"number node, value=3404","layer":4},{"info":"compute unary expreesion, input=3404, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=2070, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=2022","layer":4},{"info":"compute unary expreesion, input=2022, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-8744","layer":3},{"info":"number node, value=5908","layer":4},{"info":"compute unary expreesion, input=5908, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-93492","layer":3},{"info":"compute binary expreesion, left_input=-8744, right_input=-93492, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=93489","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=93489, 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 = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊿(⫏≰21101001≳⇉⫏≰10101111)⨪↰⇹(⫏≰1102002⫡⨏⫏≰12000121))⩼⇪↪(((⫏≰11200002∐⫣)∖⫏≰1112112⫒⫫⫏≰2211200)⋅⇍(⇤←⫏≰2202220)⨓(∓⫏≰22002211))=NaN","reverse_text":"NaN=(⊿(⫏≰21101001≳⇉⫏≰10101111)⨪↰⇹(⫏≰1102002⫡⨏⫏≰12000121))⩼⇪↪(((⫏≰11200002∐⫣)∖⫏≰1112112⫒⫫⫏≰2211200)⋅⇍(⇤←⫏≰2202220)⨓(∓⫏≰22002211))","cot":[{"info":"⫏≰21101001≳⇉⫏≰10101111=NaN","layer":3},{"info":"⫏≰1102002⫡⨏⫏≰12000121=⫏≰200011120","layer":3},{"info":"NaN⨪↰⇹⫏≰200011120=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"⫏≰11200002∐⫣=⫏≰202102","layer":3},{"info":"⫏≰1112112⫒⫫⫏≰2211200=NaN","layer":3},{"info":"⫏≰202102∖NaN=⫏≰0","layer":2},{"info":"⇤←⫏≰2202220=⫏≰-102222212","layer":3},{"info":"∓⫏≰22002211=⫏≰-11202020200","layer":3},{"info":"⫏≰-102222212⨓⫏≰-11202020200=⫏≰11202020120","layer":2},{"info":"⫏≰0⋅⇍⫏≰11202020120=⫏≰-211","layer":1},{"info":"NaN⩼⇪↪⫏≰-211=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"((($1465$⪛$1843$)⊱⇼⊻($1467$⫔⩽⩺$1280$))⪔⊥(∓⪦($2845$⊲⩕⊾$1772$)))⇉⇱⇎","expression":"(((⫏≰2000021⪛⫏≰2112021)⊱⇼⊻(⫏≰2000100⫔⩽⩺⫏≰1202102))⪔⊥(∓⪦(⫏≰10220101⊲⩕⊾⫏≰2102122)))⇉⇱⇎","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":141,"operation_count":7,"complexity_ratio":20.142857142857142,"tree":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1465,"base":3},"right_expr":{"type":"numeric_atoms","value":1843,"base":3}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1467,"base":3},"right_expr":{"type":"numeric_atoms","value":1280,"base":3}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2845,"base":3},"right_expr":{"type":"numeric_atoms","value":1772,"base":3}}}}},"used_operators":["MRPaB8lBjK","HJ9erzHUuu","FyVja0WsTP","uFcxV4UQCh","i9eR4S00cU","D309nIvmXG","DmTXOeWf9t"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⫏≰-12110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1465","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1843, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1465","layer":3},{"info":"number node, value=1467","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=1280, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1465, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"number node, value=2845","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=2845, right_input=1772, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-59870","layer":3},{"info":"compute unary expreesion, input=-59870, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-121386","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=-121386, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=365","layer":1},{"info":"compute unary expreesion, input=365, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-147","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2000021⪛⫏≰2112021)⊱⇼⊻(⫏≰2000100⫔⩽⩺⫏≰1202102))⪔⊥(∓⪦(⫏≰10220101⊲⩕⊾⫏≰2102122)))⇉⇱⇎=⫏≰-12110","reverse_text":"⫏≰-12110=(((⫏≰2000021⪛⫏≰2112021)⊱⇼⊻(⫏≰2000100⫔⩽⩺⫏≰1202102))⪔⊥(∓⪦(⫏≰10220101⊲⩕⊾⫏≰2102122)))⇉⇱⇎","cot":[{"info":"⫏≰2000021⪛⫏≰2112021=⫏≰2000021","layer":3},{"info":"⫏≰2000100⫔⩽⩺⫏≰1202102=NaN","layer":3},{"info":"⫏≰2000021⊱⇼⊻NaN=⫏≰121002","layer":2},{"info":"⫏≰10220101⊲⩕⊾⫏≰2102122=⫏≰-10001010102","layer":3},{"info":"∓⪦⫏≰-10001010102=⫏≰-20011111210","layer":2},{"info":"⫏≰121002⪔⊥⫏≰-20011111210=⫏≰111112","layer":1},{"info":"⫏≰111112⇉⇱⇎=⫏≰-12110","layer":0}]}
{"id":735,"expression_no_base_symbol":"(($1051$⋅⇍$1143$)⨑⩅≇($6629$⪑⩈)⪍↜⋙($6321$⨫⇇↔$3236$)∺≝⩲(⇨$2696$))⨘","expression":"((⫏≰1102221⋅⇍⫏≰1120100)⨑⩅≇(⫏≰100002112⪑⩈)⪍↜⋙(⫏≰22200010⨫⇇↔⫏≰11102212)∺≝⩲(⇨⫏≰10200212))⨘","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1014,"operation_count":8,"complexity_ratio":126.75,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":1143,"base":3}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":6629,"base":3}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6321,"base":3},"right_expr":{"type":"numeric_atoms","value":3236,"base":3}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2696,"base":3}}}}},"used_operators":["ljcfZBUpm8","L05ObWFQCd","h92wMvzauj","AdZkA7nFnk","C6VvDP6HwP","KPf6cnQVty","LXhwmt4mBO","G9tJMlZ94a"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","k8jYdgA6NY"],"result":"⫏≰20212222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1143, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=6629","layer":4},{"info":"compute unary expreesion, input=6629, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=47993","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=47993, 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=-55","layer":2},{"info":"number node, value=6321","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=6321, right_input=3236, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2696","layer":4},{"info":"compute unary expreesion, input=2696, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=160, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-828","layer":1},{"info":"compute unary expreesion, input=-828, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=5021","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1102221⋅⇍⫏≰1120100)⨑⩅≇(⫏≰100002112⪑⩈)⪍↜⋙(⫏≰22200010⨫⇇↔⫏≰11102212)∺≝⩲(⇨⫏≰10200212))⨘=⫏≰20212222","reverse_text":"⫏≰20212222=((⫏≰1102221⋅⇍⫏≰1120100)⨑⩅≇(⫏≰100002112⪑⩈)⪍↜⋙(⫏≰22200010⨫⇇↔⫏≰11102212)∺≝⩲(⇨⫏≰10200212))⨘","cot":[{"info":"⫏≰1102221⋅⇍⫏≰1120100=⫏≰-211","layer":3},{"info":"⫏≰100002112⪑⩈=⫏≰2102211112","layer":3},{"info":"⫏≰-211⨑⩅≇⫏≰2102211112=⫏≰-2001","layer":2},{"info":"⫏≰22200010⨫⇇↔⫏≰11102212=⫏≰-201112","layer":3},{"info":"⇨⫏≰10200212=⫏≰0","layer":3},{"info":"⫏≰-201112∺≝⩲⫏≰0=⫏≰12221","layer":2},{"info":"⫏≰-2001⪍↜⋙⫏≰12221=⫏≰-1010200","layer":1},{"info":"⫏≰-1010200⨘=⫏≰20212222","layer":0}]}
{"id":736,"expression_no_base_symbol":"⩪∧⨌(($1053$⊭↱$1030$)⇷$6555$⪃⊛⇣$3056$⫦⪉$1212$≀⫉$3682$≒∊$3101$⋣⋖$1200$)","expression":"⩪∧⨌((⫏≰1110000⊭↱⫏≰1102011)⇷⫏≰22222210⪃⊛⇣⫏≰11012012⫦⪉⫏≰1122220≀⫉⫏≰12001101≒∊⫏≰11020212⋣⋖⫏≰1122110)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1360,"operation_count":8,"complexity_ratio":170.0,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1053,"base":3},"right_expr":{"type":"numeric_atoms","value":1030,"base":3}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6555,"base":3},"right_expr":{"type":"numeric_atoms","value":3056,"base":3}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1212,"base":3},"right_expr":{"type":"numeric_atoms","value":3682,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3101,"base":3},"right_expr":{"type":"numeric_atoms","value":1200,"base":3}}}}},"used_operators":["6iOiAJX1F8","wscyQdcy20","mp7IySMOzn","COABgblf1C","rrgAzCduG9","5KTvxBwnZo","oZj3VtZNQx","J0M6qkBnIM"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫏≰-111100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1030, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-41","layer":3},{"info":"number node, value=6555","layer":4},{"info":"number node, value=3056","layer":4},{"info":"compute binary expreesion, left_input=6555, right_input=3056, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-41, right_input=1234, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2468","layer":2},{"info":"number node, value=1212","layer":4},{"info":"number node, value=3682","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=3682, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=3101","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3101, right_input=1200, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3101","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=3101, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2338","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=-2338, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-36","layer":1},{"info":"compute unary expreesion, input=-36, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-360","layer":0}],"base":3,"result_base":3,"text":"⩪∧⨌((⫏≰1110000⊭↱⫏≰1102011)⇷⫏≰22222210⪃⊛⇣⫏≰11012012⫦⪉⫏≰1122220≀⫉⫏≰12001101≒∊⫏≰11020212⋣⋖⫏≰1122110)=⫏≰-111100","reverse_text":"⫏≰-111100=⩪∧⨌((⫏≰1110000⊭↱⫏≰1102011)⇷⫏≰22222210⪃⊛⇣⫏≰11012012⫦⪉⫏≰1122220≀⫉⫏≰12001101≒∊⫏≰11020212⋣⋖⫏≰1122110)","cot":[{"info":"⫏≰1110000⊭↱⫏≰1102011=⫏≰-1112","layer":3},{"info":"⫏≰22222210⪃⊛⇣⫏≰11012012=⫏≰1200201","layer":3},{"info":"⫏≰-1112⇷⫏≰1200201=⫏≰10101102","layer":2},{"info":"⫏≰1122220≀⫉⫏≰12001101=⫏≰10212112","layer":3},{"info":"⫏≰11020212⋣⋖⫏≰1122110=⫏≰11020212","layer":3},{"info":"⫏≰10212112≒∊⫏≰11020212=⫏≰-10012121","layer":2},{"info":"⫏≰10101102⫦⪉⫏≰-10012121=⫏≰-1100","layer":1},{"info":"⩪∧⨌⫏≰-1100=⫏≰-111100","layer":0}]}
{"id":737,"expression_no_base_symbol":"≸≮((($2431$↓⨍⋜)↸$1404$⩒⫫$1109$)⊫∞)","expression":"≸≮(((⫏≰10100001↓⨍⋜)↸⫏≰1221000⩒⫫⫏≰1112002)⊫∞)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24548,"operation_count":5,"complexity_ratio":4909.6,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":2431,"base":3}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1404,"base":3},"right_expr":{"type":"numeric_atoms","value":1109,"base":3}}}}},"used_operators":["AljMvE3RRm","pABnYW3G3E","1eCjFl0mb9","3DVzLFNsE9","KFSx94NKJn"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⫏≰-100201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2431","layer":4},{"info":"compute unary expreesion, input=2431, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=1404","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1109, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1102","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=1102, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6590","layer":2},{"info":"compute unary expreesion, input=6590, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-262","layer":0}],"base":3,"result_base":3,"text":"≸≮(((⫏≰10100001↓⨍⋜)↸⫏≰1221000⩒⫫⫏≰1112002)⊫∞)=⫏≰-100201","reverse_text":"⫏≰-100201=≸≮(((⫏≰10100001↓⨍⋜)↸⫏≰1221000⩒⫫⫏≰1112002)⊫∞)","cot":[{"info":"⫏≰10100001↓⨍⋜=⫏≰100001002","layer":3},{"info":"⫏≰1221000⩒⫫⫏≰1112002=⫏≰1111211","layer":3},{"info":"⫏≰100001002↸⫏≰1111211=⫏≰100001002","layer":2},{"info":"⫏≰100001002⊫∞=⫏≰0","layer":1},{"info":"≸≮⫏≰0=⫏≰-100201","layer":0}]}
{"id":738,"expression_no_base_symbol":"((↨$1817$)⨒($2144$⇉⇉))⪬(↯⪼(⫖→$2894$))⩚⊴⇥(⇙⪊(-$1482$⫃⨇$1815$))","expression":"((↨⫏≰2111022)⨒(⫏≰2221102⇉⇉))⪬(↯⪼(⫖→⫏≰10222012))⩚⊴⇥(⇙⪊(-⫏≰2000220⫃⨇⫏≰2111020))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3950,"operation_count":10,"complexity_ratio":395.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1817,"base":3}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2144,"base":3}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2894,"base":3}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1482,"base":3},"right_expr":{"type":"numeric_atoms","value":1815,"base":3}}}}},"used_operators":["NTOWxs364D","Ez1Nq5fNfI","y75s1iXyHd","jiX4gk2v2Q","diKm42VcIt","8jW3W4yZS5","U4ylXWHChL","pB6Fcnrjim","t8gj7n24qd","09Ly4LVMIf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rGHVDoGpnC","oZj3VtZNQx","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⫏≰-1212012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=2144","layer":4},{"info":"compute unary expreesion, input=2144, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-131048","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-131048, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"number node, value=2894","layer":4},{"info":"compute unary expreesion, input=2894, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1482","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=1815, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7292","layer":3},{"info":"compute unary expreesion, input=-7292, op_id = t8gj7n24qd, unary_op_definition = 'None', output=7292","layer":2},{"info":"compute unary expreesion, input=7292, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1355","layer":0}],"base":3,"result_base":3,"text":"((↨⫏≰2111022)⨒(⫏≰2221102⇉⇉))⪬(↯⪼(⫖→⫏≰10222012))⩚⊴⇥(⇙⪊(-⫏≰2000220⫃⨇⫏≰2111020))=⫏≰-1212012","reverse_text":"⫏≰-1212012=((↨⫏≰2111022)⨒(⫏≰2221102⇉⇉))⪬(↯⪼(⫖→⫏≰10222012))⩚⊴⇥(⇙⪊(-⫏≰2000220⫃⨇⫏≰2111020))","cot":[{"info":"↨⫏≰2111022=NaN","layer":3},{"info":"⫏≰2221102⇉⇉=⫏≰-20122202122","layer":3},{"info":"NaN⨒⫏≰-20122202122=NaN","layer":2},{"info":"⫖→⫏≰10222012=⫏≰20120","layer":3},{"info":"↯⪼⫏≰20120=⫏≰-210","layer":2},{"info":"NaN⪬⫏≰-210=⫏≰1200201","layer":1},{"info":"⫏≰2000220⫃⨇⫏≰2111020=⫏≰-101000002","layer":3},{"info":"-⫏≰-101000002=⫏≰101000002","layer":2},{"info":"⇙⪊⫏≰101000002=⫏≰0","layer":1},{"info":"⫏≰1200201⩚⊴⇥⫏≰0=⫏≰-1212012","layer":0}]}
{"id":739,"expression_no_base_symbol":"($1913$⪝$4147$⪎↠($2269$↡⊰⫅$6546$))⊕∕(⨈⫕($4709$∪⫐$2843$))⇍⊗((⩷($3494$∲⫓$2161$))/(($5522$*$3609$)⊪))","expression":"(⫏≰2121212⪝⫏≰12200121⪎↠(⫏≰10010001↡⊰⫅⫏≰22222110))⊕∕(⨈⫕(⫏≰20110102∪⫐⫏≰10220022))⇍⊗((⩷(⫏≰11210102∲⫓⫏≰2222001))/((⫏≰21120112*⫏≰11221200)⊪))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":96174,"operation_count":12,"complexity_ratio":8014.5,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1913,"base":3},"right_expr":{"type":"numeric_atoms","value":4147,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2269,"base":3},"right_expr":{"type":"numeric_atoms","value":6546,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4709,"base":3},"right_expr":{"type":"numeric_atoms","value":2843,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3494,"base":3},"right_expr":{"type":"numeric_atoms","value":2161,"base":3}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5522,"base":3},"right_expr":{"type":"numeric_atoms","value":3609,"base":3}}}}},"used_operators":["5uvYHDjeKN","9cloC0Ngie","3tVxb0NHM4","wicAB68Tmb","VCtxkLNOzz","megm06wKyl","7YooWSwCyH","XhwjNDsVaA","1h0rLqGiFr","i8ToyICDmI","zVYPLywUTj","9HNa5Wba9A"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1913","layer":4},{"info":"number node, value=4147","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=4147, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=2269","layer":4},{"info":"number node, value=6546","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=6546, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=13092","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=13092, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1105","layer":2},{"info":"number node, value=4709","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=2843, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4709","layer":3},{"info":"compute unary expreesion, input=4709, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=1105, right_input=-21, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1105","layer":1},{"info":"number node, value=3494","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=2161, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-79","layer":2},{"info":"number node, value=5522","layer":4},{"info":"number node, value=3609","layer":4},{"info":"compute binary expreesion, left_input=5522, right_input=3609, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=19928898","layer":3},{"info":"compute unary expreesion, input=19928898, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1105, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2121212⪝⫏≰12200121⪎↠(⫏≰10010001↡⊰⫅⫏≰22222110))⊕∕(⨈⫕(⫏≰20110102∪⫐⫏≰10220022))⇍⊗((⩷(⫏≰11210102∲⫓⫏≰2222001))/((⫏≰21120112*⫏≰11221200)⊪))=NaN","reverse_text":"NaN=(⫏≰2121212⪝⫏≰12200121⪎↠(⫏≰10010001↡⊰⫅⫏≰22222110))⊕∕(⨈⫕(⫏≰20110102∪⫐⫏≰10220022))⇍⊗((⩷(⫏≰11210102∲⫓⫏≰2222001))/((⫏≰21120112*⫏≰11221200)⊪))","cot":[{"info":"⫏≰2121212⪝⫏≰12200121=⫏≰22210","layer":3},{"info":"⫏≰10010001↡⊰⫅⫏≰22222110=⫏≰122221220","layer":3},{"info":"⫏≰22210⪎↠⫏≰122221220=⫏≰1111221","layer":2},{"info":"⫏≰20110102∪⫐⫏≰10220022=⫏≰20110102","layer":3},{"info":"⨈⫕⫏≰20110102=⫏≰-210","layer":2},{"info":"⫏≰1111221⊕∕⫏≰-210=⫏≰1111221","layer":1},{"info":"⫏≰11210102∲⫓⫏≰2222001=⫏≰0","layer":3},{"info":"⩷⫏≰0=⫏≰-2221","layer":2},{"info":"⫏≰21120112*⫏≰11221200=⫏≰1101111111022100","layer":3},{"info":"⫏≰1101111111022100⊪=⫏≰0","layer":2},{"info":"⫏≰-2221/⫏≰0=NaN","layer":1},{"info":"⫏≰1111221⇍⊗NaN=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"($4654$⊉↱≁$4805$)≁↽≥($2264$∳⫺$1621$)⪕($5168$≓∲$1041$)⊲⩕⊾($2016$⋣⋖$3422$)⫃⨇(⇈$2018$)⨽∌($1924$⨜⨶$3551$)≹⇙⪍($3778$⨐$3017$⩨$1164$⨰$1959$)","expression":"(⫏≰20101101⊉↱≁⫏≰20120222)≁↽≥(⫏≰10002212∳⫺⫏≰2020001)⪕(⫏≰21002102≓∲⫏≰1102120)⊲⩕⊾(⫏≰2202200⋣⋖⫏≰11200202)⫃⨇(⇈⫏≰2202202)⨽∌(⫏≰2122021⨜⨶⫏≰11212112)≹⇙⪍(⫏≰12011221⨐⫏≰11010202⩨⫏≰1121010⨰⫏≰2200120)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1636,"operation_count":15,"complexity_ratio":109.06666666666666,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4654,"base":3},"right_expr":{"type":"numeric_atoms","value":4805,"base":3}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2264,"base":3},"right_expr":{"type":"numeric_atoms","value":1621,"base":3}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5168,"base":3},"right_expr":{"type":"numeric_atoms","value":1041,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2016,"base":3},"right_expr":{"type":"numeric_atoms","value":3422,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2018,"base":3}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1924,"base":3},"right_expr":{"type":"numeric_atoms","value":3551,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3778,"base":3},"right_expr":{"type":"numeric_atoms","value":3017,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1164,"base":3},"right_expr":{"type":"numeric_atoms","value":1959,"base":3}}}}},"used_operators":["09Ly4LVMIf","umQnsF7QlU","ncHt1X6cMc","w2P8NbNXyL","AzXXKTstlj","DmTXOeWf9t","s1XTVnmDOJ","J0M6qkBnIM","AHs5Up7iyr","9samAPKr6k","SLLxy00UIr","HiPekx5b7W","2DlMacCsIx","Noe24qw2ks","eewbuw0ToL"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","dWAJyo7jo9","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-1012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4654","layer":4},{"info":"number node, value=4805","layer":4},{"info":"compute binary expreesion, left_input=4654, right_input=4805, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=17658","layer":3},{"info":"number node, value=2264","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=1621, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=17658, right_input=-260, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"number node, value=5168","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=5168, right_input=1041, 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=52463","layer":3},{"info":"number node, value=2016","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=3422, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2016","layer":3},{"info":"compute binary expreesion, left_input=52463, right_input=2016, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-856198","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-856198, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=2018","layer":4},{"info":"compute unary expreesion, input=2018, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1924","layer":4},{"info":"number node, value=3551","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=3551, 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=-6846","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-6846, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=3778","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=3017, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7556","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=1959, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-785","layer":3},{"info":"compute binary expreesion, left_input=-7556, right_input=-785, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=0, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-32","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20101101⊉↱≁⫏≰20120222)≁↽≥(⫏≰10002212∳⫺⫏≰2020001)⪕(⫏≰21002102≓∲⫏≰1102120)⊲⩕⊾(⫏≰2202200⋣⋖⫏≰11200202)⫃⨇(⇈⫏≰2202202)⨽∌(⫏≰2122021⨜⨶⫏≰11212112)≹⇙⪍(⫏≰12011221⨐⫏≰11010202⩨⫏≰1121010⨰⫏≰2200120)=⫏≰-1012","reverse_text":"⫏≰-1012=(⫏≰20101101⊉↱≁⫏≰20120222)≁↽≥(⫏≰10002212∳⫺⫏≰2020001)⪕(⫏≰21002102≓∲⫏≰1102120)⊲⩕⊾(⫏≰2202200⋣⋖⫏≰11200202)⫃⨇(⇈⫏≰2202202)⨽∌(⫏≰2122021⨜⨶⫏≰11212112)≹⇙⪍(⫏≰12011221⨐⫏≰11010202⩨⫏≰1121010⨰⫏≰2200120)","cot":[{"info":"⫏≰20101101⊉↱≁⫏≰20120222=⫏≰220020000","layer":3},{"info":"⫏≰10002212∳⫺⫏≰2020001=⫏≰-100122","layer":3},{"info":"⫏≰220020000≁↽≥⫏≰-100122=⫏≰0","layer":2},{"info":"⫏≰21002102≓∲⫏≰1102120=⫏≰2122222002","layer":3},{"info":"⫏≰2202200⋣⋖⫏≰11200202=⫏≰2202200","layer":3},{"info":"⫏≰2122222002⊲⩕⊾⫏≰2202200=⫏≰-1121111111001","layer":2},{"info":"⫏≰0⪕⫏≰-1121111111001=⫏≰1021122","layer":1},{"info":"⇈⫏≰2202202=⫏≰-121120","layer":3},{"info":"⫏≰2122021⨜⨶⫏≰11212112=⫏≰-100101120","layer":3},{"info":"⫏≰-121120⨽∌⫏≰-100101120=⫏≰0","layer":2},{"info":"⫏≰12011221⨐⫏≰11010202=⫏≰-101100212","layer":3},{"info":"⫏≰1121010⨰⫏≰2200120=⫏≰-1002002","layer":3},{"info":"⫏≰-101100212⩨⫏≰-1002002=⫏≰0","layer":2},{"info":"⫏≰0≹⇙⪍⫏≰0=⫏≰0","layer":1},{"info":"⫏≰1021122⫃⨇⫏≰0=⫏≰-1012","layer":0}]}
{"id":741,"expression_no_base_symbol":"(($1322$⪪$3584$)⇍⊗($1848$↱$1216$)∖(-(⋎⨆$1107$)))⫁((⩪∧⨌$4029$⫯⪬∳$3136$)⇣⩺⋵(($1713$⫌⩉⩟$1206$)⊫∞))","expression":"((⫏≰1210222⪪⫏≰11220202)⇍⊗(⫏≰2112110↱⫏≰1200001)∖(-(⋎⨆⫏≰1112000)))⫁((⩪∧⨌⫏≰12112020⫯⪬∳⫏≰11022011)⇣⩺⋵((⫏≰2100110⫌⩉⩟⫏≰1122200)⊫∞))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":37233,"operation_count":12,"complexity_ratio":3102.75,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1322,"base":3},"right_expr":{"type":"numeric_atoms","value":3584,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1848,"base":3},"right_expr":{"type":"numeric_atoms","value":1216,"base":3}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1107,"base":3}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4029,"base":3},"right_expr":{"type":"numeric_atoms","value":3136,"base":3}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1713,"base":3},"right_expr":{"type":"numeric_atoms","value":1206,"base":3}}}}},"used_operators":["0ajvFaJAv0","tXD093vOjl","5uvYHDjeKN","xD69zh8xqp","SR5kFfdi6N","t8gj7n24qd","E64sFOc4tB","F4yD0voBRQ","6iOiAJX1F8","d7ASUq0ydm","pABnYW3G3E","XIIwhv8d0m"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","FU0Cs4j7VP","JclMnS0uGI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"number node, value=3584","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=3584, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-195711","layer":3},{"info":"number node, value=1848","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=1216, 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=-3126","layer":3},{"info":"compute binary expreesion, left_input=-195711, right_input=-3126, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=0, 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=4029","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=4029, right_input=3136, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=17042","layer":3},{"info":"compute unary expreesion, input=17042, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=170420","layer":2},{"info":"number node, value=1713","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=1206, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=170420, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1210222⪪⫏≰11220202)⇍⊗(⫏≰2112110↱⫏≰1200001)∖(-(⋎⨆⫏≰1112000)))⫁((⩪∧⨌⫏≰12112020⫯⪬∳⫏≰11022011)⇣⩺⋵((⫏≰2100110⫌⩉⩟⫏≰1122200)⊫∞))=⫏≰12221","reverse_text":"⫏≰12221=((⫏≰1210222⪪⫏≰11220202)⇍⊗(⫏≰2112110↱⫏≰1200001)∖(-(⋎⨆⫏≰1112000)))⫁((⩪∧⨌⫏≰12112020⫯⪬∳⫏≰11022011)⇣⩺⋵((⫏≰2100110⫌⩉⩟⫏≰1122200)⊫∞))","cot":[{"info":"⫏≰1210222⪪⫏≰11220202=⫏≰-100221110120","layer":3},{"info":"⫏≰2112110↱⫏≰1200001=⫏≰-11021210","layer":3},{"info":"⫏≰-100221110120⇍⊗⫏≰-11021210=⫏≰-100001","layer":2},{"info":"⋎⨆⫏≰1112000=⫏≰0","layer":3},{"info":"-⫏≰0=⫏≰0","layer":2},{"info":"⫏≰-100001∖⫏≰0=⫏≰0","layer":1},{"info":"⫏≰12112020⫯⪬∳⫏≰11022011=⫏≰212101012","layer":3},{"info":"⩪∧⨌⫏≰212101012=⫏≰22122202212","layer":2},{"info":"⫏≰2100110⫌⩉⩟⫏≰1122200=⫏≰-1212","layer":3},{"info":"⫏≰-1212⊫∞=⫏≰0","layer":2},{"info":"⫏≰22122202212⇣⩺⋵⫏≰0=⫏≰-100122","layer":1},{"info":"⫏≰0⫁⫏≰-100122=⫏≰12221","layer":0}]}
{"id":742,"expression_no_base_symbol":"(($3889$∖$1468$)⪡($4443$⋓$1100$))↼⊘⨖((⊗$8086$)⪘⫢(∤$1950$))≳⇉$1723$⇡⇂$3308$+⪬∐(⇉-⫰$1264$)⊝⪿⪼(⇨(⨂⪏⇭$1163$))","expression":"((⫏≰12100001∖⫏≰2000101)⪡(⫏≰20002120⋓⫏≰1111202))↼⊘⨖((⊗⫏≰102002111)⪘⫢(∤⫏≰2200020))≳⇉⫏≰2100211⇡⇂⫏≰11112112+⪬∐(⇉-⫰⫏≰1201211)⊝⪿⪼(⇨(⨂⪏⇭⫏≰1121002))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16707,"operation_count":14,"complexity_ratio":1193.357142857143,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3889,"base":3},"right_expr":{"type":"numeric_atoms","value":1468,"base":3}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4443,"base":3},"right_expr":{"type":"numeric_atoms","value":1100,"base":3}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":8086,"base":3}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1950,"base":3}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1723,"base":3},"right_expr":{"type":"numeric_atoms","value":3308,"base":3}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1264,"base":3}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1163,"base":3}}}}},"used_operators":["V0kx6qeWkN","bPywburJMS","oraRL2iQuh","tXD093vOjl","T2fj7uvVaJ","oacrs7FA3X","RhiyfpczSx","k2HlF1dBQh","3Oe9XWJUTD","2GS7woTJqF","UMwdvZNt44","IGFM8TAlm9","G9tJMlZ94a","AYdpE9sXAk"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eH2TOUuTDT","eewbuw0ToL","k8jYdgA6NY","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3889","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=3889, right_input=1468, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=4443","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=1100, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"number node, value=8086","layer":4},{"info":"compute unary expreesion, input=8086, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-16172","layer":3},{"info":"number node, value=1950","layer":4},{"info":"compute unary expreesion, input=1950, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=-16172, right_input=9, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-1936, right_input=-1, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-224","layer":1},{"info":"number node, value=1723","layer":4},{"info":"number node, value=3308","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=3308, 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":3},{"info":"number node, value=1264","layer":4},{"info":"compute unary expreesion, input=1264, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2510","layer":3},{"info":"compute unary expreesion, input=2510, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-224, right_input=nan, 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":3,"result_base":3,"text":"((⫏≰12100001∖⫏≰2000101)⪡(⫏≰20002120⋓⫏≰1111202))↼⊘⨖((⊗⫏≰102002111)⪘⫢(∤⫏≰2200020))≳⇉⫏≰2100211⇡⇂⫏≰11112112+⪬∐(⇉-⫰⫏≰1201211)⊝⪿⪼(⇨(⨂⪏⇭⫏≰1121002))=NaN","reverse_text":"NaN=((⫏≰12100001∖⫏≰2000101)⪡(⫏≰20002120⋓⫏≰1111202))↼⊘⨖((⊗⫏≰102002111)⪘⫢(∤⫏≰2200020))≳⇉⫏≰2100211⇡⇂⫏≰11112112+⪬∐(⇉-⫰⫏≰1201211)⊝⪿⪼(⇨(⨂⪏⇭⫏≰1121002))","cot":[{"info":"⫏≰12100001∖⫏≰2000101=⫏≰0","layer":3},{"info":"⫏≰20002120⋓⫏≰1111202=⫏≰0","layer":3},{"info":"⫏≰0⪡⫏≰0=⫏≰-2122201","layer":2},{"info":"⊗⫏≰102002111=⫏≰-211011222","layer":3},{"info":"∤⫏≰2200020=⫏≰100","layer":3},{"info":"⫏≰-211011222⪘⫢⫏≰100=⫏≰-1","layer":2},{"info":"⫏≰-2122201↼⊘⨖⫏≰-1=⫏≰-22022","layer":1},{"info":"⫏≰2100211⇡⇂⫏≰11112112=NaN","layer":3},{"info":"⇉-⫰⫏≰1201211=⫏≰202","layer":3},{"info":"NaN+⪬∐⫏≰202=NaN","layer":2},{"info":"⨂⪏⇭⫏≰1121002=⫏≰10102222","layer":3},{"info":"⇨⫏≰10102222=⫏≰0","layer":2},{"info":"NaN⊝⪿⪼⫏≰0=NaN","layer":1},{"info":"⫏≰-22022≳⇉NaN=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"((($3301$⪐)⋳⪒(⩰$7414$))⪍↜⋙($4424$⩵∡$2504$)⩁⩘$1030$∘$2097$)⊉↱≁(($5129$⩚⊴⇥$3610$↺$3640$⇌⫙⪟$2958$)⪪(⨵($3905$⨑≵⋬$4585$)))","expression":"(((⫏≰11112021⪐)⋳⪒(⩰⫏≰101011121))⪍↜⋙(⫏≰20001212⩵∡⫏≰10102202)⩁⩘⫏≰1102011∘⫏≰2212200)⊉↱≁((⫏≰21000222⩚⊴⇥⫏≰11221201↺⫏≰11222211⇌⫙⪟⫏≰11001120)⪪(⨵(⫏≰12100122⨑≵⋬⫏≰20021211)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":655,"operation_count":14,"complexity_ratio":46.785714285714285,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3301,"base":3}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":7414,"base":3}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4424,"base":3},"right_expr":{"type":"numeric_atoms","value":2504,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1030,"base":3},"right_expr":{"type":"numeric_atoms","value":2097,"base":3}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5129,"base":3},"right_expr":{"type":"numeric_atoms","value":3610,"base":3}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3640,"base":3},"right_expr":{"type":"numeric_atoms","value":2958,"base":3}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3905,"base":3},"right_expr":{"type":"numeric_atoms","value":4585,"base":3}}}}},"used_operators":["w2P8NbNXyL","L05ObWFQCd","12rbrZMWeM","eH2TOUuTDT","WkeUrDK8WX","gub5Cegaqo","Y7wcNGrDQJ","Z5m6OM72h2","xD69zh8xqp","7j4O788W3g","NTOWxs364D","AFVx7xoS7T","Tl3Y52tvF8","XnXgA4xnOs"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","DpFCA1CohY","IWmyXbctLI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eH2TOUuTDT","rysDP5nf3Z","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⫏≰121100022120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3301","layer":4},{"info":"compute unary expreesion, input=3301, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6602","layer":3},{"info":"number node, value=7414","layer":4},{"info":"compute unary expreesion, input=7414, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-8414","layer":3},{"info":"compute binary expreesion, left_input=6602, right_input=-8414, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=21331","layer":2},{"info":"number node, value=4424","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=4424, right_input=2504, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6465","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2097, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2060","layer":3},{"info":"compute binary expreesion, left_input=-6465, right_input=2060, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=9188","layer":2},{"info":"compute binary expreesion, left_input=21331, right_input=9188, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=24286","layer":1},{"info":"number node, value=5129","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=5129, right_input=3610, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8860","layer":3},{"info":"number node, value=3640","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=2958, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-8860, right_input=113, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=113","layer":2},{"info":"number node, value=3905","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=4585, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-11191","layer":3},{"info":"compute unary expreesion, input=-11191, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=271439","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=271439, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-13152","layer":1},{"info":"compute binary expreesion, left_input=24286, right_input=-13152, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=321720","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰11112021⪐)⋳⪒(⩰⫏≰101011121))⪍↜⋙(⫏≰20001212⩵∡⫏≰10102202)⩁⩘⫏≰1102011∘⫏≰2212200)⊉↱≁((⫏≰21000222⩚⊴⇥⫏≰11221201↺⫏≰11222211⇌⫙⪟⫏≰11001120)⪪(⨵(⫏≰12100122⨑≵⋬⫏≰20021211)))=⫏≰121100022120","reverse_text":"⫏≰121100022120=(((⫏≰11112021⪐)⋳⪒(⩰⫏≰101011121))⪍↜⋙(⫏≰20001212⩵∡⫏≰10102202)⩁⩘⫏≰1102011∘⫏≰2212200)⊉↱≁((⫏≰21000222⩚⊴⇥⫏≰11221201↺⫏≰11222211⇌⫙⪟⫏≰11001120)⪪(⨵(⫏≰12100122⨑≵⋬⫏≰20021211)))","cot":[{"info":"⫏≰11112021⪐=⫏≰100001112","layer":3},{"info":"⩰⫏≰101011121=⫏≰-102112122","layer":3},{"info":"⫏≰100001112⋳⪒⫏≰-102112122=⫏≰1002021001","layer":2},{"info":"⫏≰20001212⩵∡⫏≰10102202=⫏≰-22212110","layer":3},{"info":"⫏≰1102011∘⫏≰2212200=⫏≰2211022","layer":3},{"info":"⫏≰-22212110⩁⩘⫏≰2211022=⫏≰110121022","layer":2},{"info":"⫏≰1002021001⪍↜⋙⫏≰110121022=⫏≰1020022111","layer":1},{"info":"⫏≰21000222⩚⊴⇥⫏≰11221201=⫏≰-110011011","layer":3},{"info":"⫏≰11222211⇌⫙⪟⫏≰11001120=⫏≰11012","layer":3},{"info":"⫏≰-110011011↺⫏≰11012=⫏≰11012","layer":2},{"info":"⫏≰12100122⨑≵⋬⫏≰20021211=⫏≰-120100111","layer":3},{"info":"⨵⫏≰-120100111=⫏≰111210100022","layer":2},{"info":"⫏≰11012⪪⫏≰111210100022=⫏≰-200001010","layer":1},{"info":"⫏≰1020022111⊉↱≁⫏≰-200001010=⫏≰121100022120","layer":0}]}
{"id":744,"expression_no_base_symbol":"⇨(($5908$⇡⇂$8930$*$1946$≴⪞⇿$2741$)⊝)","expression":"⇨((⫏≰22002211⇡⇂⫏≰110020202*⫏≰2200002≴⪞⇿⫏≰10202112)⊝)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":46673,"operation_count":5,"complexity_ratio":9334.6,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5908,"base":3},"right_expr":{"type":"numeric_atoms","value":8930,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1946,"base":3},"right_expr":{"type":"numeric_atoms","value":2741,"base":3}}}}},"used_operators":["G9tJMlZ94a","O6EZ0fifGK","9HNa5Wba9A","UMwdvZNt44","lvlrscuwVU"],"dependent_operators":["k8jYdgA6NY","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","W4YGzv6Whe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5908","layer":4},{"info":"number node, value=8930","layer":4},{"info":"compute binary expreesion, left_input=5908, right_input=8930, 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":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=2741","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=2741, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=5598092","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5598092, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇨((⫏≰22002211⇡⇂⫏≰110020202*⫏≰2200002≴⪞⇿⫏≰10202112)⊝)=NaN","reverse_text":"NaN=⇨((⫏≰22002211⇡⇂⫏≰110020202*⫏≰2200002≴⪞⇿⫏≰10202112)⊝)","cot":[{"info":"⫏≰22002211⇡⇂⫏≰110020202=NaN","layer":3},{"info":"⫏≰2200002≴⪞⇿⫏≰10202112=⫏≰101112102010202","layer":3},{"info":"NaN*⫏≰101112102010202=NaN","layer":2},{"info":"NaN⊝=NaN","layer":1},{"info":"⇨NaN=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"(($6059$⋥≓≎$2902$↺($1997$↙$2126$))⫢⨠($1267$⋷$2631$)⇴∐($1866$⋻⩜⩜$1538$))↼⊘⨖(⨛($1556$∙∹∝$1047$))≁↽≥($2165$⇮⋭$1330$)⊕∕($1216$⊬⨰$1375$)","expression":"((⫏≰22022102⋥≓≎⫏≰10222111↺(⫏≰2201222↙⫏≰2220202))⫢⨠(⫏≰1201221⋷⫏≰10121110)⇴∐(⫏≰2120010⋻⩜⩜⫏≰2002222))↼⊘⨖(⨛(⫏≰2010122∙∹∝⫏≰1102210))≁↽≥(⫏≰2222012⇮⋭⫏≰1211021)⊕∕(⫏≰1200001⊬⨰⫏≰1212221)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24374,"operation_count":14,"complexity_ratio":1741.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6059,"base":3},"right_expr":{"type":"numeric_atoms","value":2902,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1997,"base":3},"right_expr":{"type":"numeric_atoms","value":2126,"base":3}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1267,"base":3},"right_expr":{"type":"numeric_atoms","value":2631,"base":3}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1866,"base":3},"right_expr":{"type":"numeric_atoms","value":1538,"base":3}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1556,"base":3},"right_expr":{"type":"numeric_atoms","value":1047,"base":3}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2165,"base":3},"right_expr":{"type":"numeric_atoms","value":1330,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1216,"base":3},"right_expr":{"type":"numeric_atoms","value":1375,"base":3}}}}},"used_operators":["bPywburJMS","xlXykHWxX1","7j4O788W3g","Qy55tPpLXF","yyfyN0ffXY","HnzytWxmAO","23Mk6UjR3U","oDCm7WA9JY","ncHt1X6cMc","CoMdbyAt7R","HmxsFra2vL","9cloC0Ngie","vkpjKywKVM","s3Fd5m9Dh2"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","oWn0xqSxBt","3Oe9XWJUTD","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⫏≰20022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6059","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=6059, right_input=2902, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-222","layer":3},{"info":"number node, value=1997","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=2126, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6378","layer":3},{"info":"compute binary expreesion, left_input=-222, right_input=-6378, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6378","layer":2},{"info":"number node, value=1267","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=2631, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3995","layer":3},{"info":"number node, value=1866","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=1538, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3732","layer":3},{"info":"compute binary expreesion, left_input=3995, right_input=3732, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6378, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"number node, value=1556","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=1047, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"number node, value=2165","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=1330, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=1375, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5660","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=5660, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=170","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22022102⋥≓≎⫏≰10222111↺(⫏≰2201222↙⫏≰2220202))⫢⨠(⫏≰1201221⋷⫏≰10121110)⇴∐(⫏≰2120010⋻⩜⩜⫏≰2002222))↼⊘⨖(⨛(⫏≰2010122∙∹∝⫏≰1102210))≁↽≥(⫏≰2222012⇮⋭⫏≰1211021)⊕∕(⫏≰1200001⊬⨰⫏≰1212221)=⫏≰20022","reverse_text":"⫏≰20022=((⫏≰22022102⋥≓≎⫏≰10222111↺(⫏≰2201222↙⫏≰2220202))⫢⨠(⫏≰1201221⋷⫏≰10121110)⇴∐(⫏≰2120010⋻⩜⩜⫏≰2002222))↼⊘⨖(⨛(⫏≰2010122∙∹∝⫏≰1102210))≁↽≥(⫏≰2222012⇮⋭⫏≰1211021)⊕∕(⫏≰1200001⊬⨰⫏≰1212221)","cot":[{"info":"⫏≰22022102⋥≓≎⫏≰10222111=⫏≰-22020","layer":3},{"info":"⫏≰2201222↙⫏≰2220202=⫏≰-22202020","layer":3},{"info":"⫏≰-22020↺⫏≰-22202020=⫏≰-22202020","layer":2},{"info":"⫏≰1201221⋷⫏≰10121110=⫏≰12110222","layer":3},{"info":"⫏≰2120010⋻⩜⩜⫏≰2002222=⫏≰12010020","layer":3},{"info":"⫏≰12110222⇴∐⫏≰12010020=NaN","layer":2},{"info":"⫏≰-22202020⫢⨠NaN=NaN","layer":1},{"info":"⫏≰2010122∙∹∝⫏≰1102210=⫏≰0","layer":3},{"info":"⨛⫏≰0=NaN","layer":2},{"info":"⫏≰2222012⇮⋭⫏≰1211021=⫏≰-122112","layer":3},{"info":"⫏≰1200001⊬⨰⫏≰1212221=⫏≰21202122","layer":3},{"info":"⫏≰-122112⊕∕⫏≰21202122=⫏≰-122112","layer":2},{"info":"NaN≁↽≥⫏≰-122112=⫏≰21021","layer":1},{"info":"NaN↼⊘⨖⫏≰21021=⫏≰20022","layer":0}]}
{"id":746,"expression_no_base_symbol":"(((⨮↦↱$5278$)≎⊠⪸($7009$⇩))≄⊠($1661$∀⇚≩$2622$)⊔(⋗⩬⋾$3062$))⫿","expression":"(((⨮↦↱⫏≰21020111)≎⊠⪸(⫏≰100121121⇩))≄⊠(⫏≰2021112∀⇚≩⫏≰10121010)⊔(⋗⩬⋾⫏≰11012102))⫿","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16835,"operation_count":8,"complexity_ratio":2104.375,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":5278,"base":3}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":7009,"base":3}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1661,"base":3},"right_expr":{"type":"numeric_atoms","value":2622,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3062,"base":3}}}}},"used_operators":["9tKT6PmtkH","vXNesLlMH1","bJkvcejdHO","sYcpBQ0cFf","vRio1gEz1j","E4l6HwMY31","LRNGc0VcxI","DpFCA1CohY"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","W4YGzv6Whe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰2001120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5278","layer":4},{"info":"compute unary expreesion, input=5278, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-68726106","layer":3},{"info":"number node, value=7009","layer":4},{"info":"compute unary expreesion, input=7009, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=7102","layer":3},{"info":"compute binary expreesion, left_input=-68726106, right_input=7102, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":2},{"info":"number node, value=1661","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=2622, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3062","layer":4},{"info":"compute unary expreesion, input=3062, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9186","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9186, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, 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":1},{"info":"compute unary expreesion, input=1500, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1500","layer":0}],"base":3,"result_base":3,"text":"(((⨮↦↱⫏≰21020111)≎⊠⪸(⫏≰100121121⇩))≄⊠(⫏≰2021112∀⇚≩⫏≰10121010)⊔(⋗⩬⋾⫏≰11012102))⫿=⫏≰2001120","reverse_text":"⫏≰2001120=(((⨮↦↱⫏≰21020111)≎⊠⪸(⫏≰100121121⇩))≄⊠(⫏≰2021112∀⇚≩⫏≰10121010)⊔(⋗⩬⋾⫏≰11012102))⫿","cot":[{"info":"⨮↦↱⫏≰21020111=⫏≰-11210022122111100","layer":3},{"info":"⫏≰100121121⇩=⫏≰100202001","layer":3},{"info":"⫏≰-11210022122111100≎⊠⪸⫏≰100202001=Inf","layer":2},{"info":"⫏≰2021112∀⇚≩⫏≰10121010=NaN","layer":3},{"info":"⋗⩬⋾⫏≰11012102=⫏≰-110121020","layer":3},{"info":"NaN⊔⫏≰-110121020=NaN","layer":2},{"info":"Inf≄⊠NaN=⫏≰2001120","layer":1},{"info":"⫏≰2001120⫿=⫏≰2001120","layer":0}]}
{"id":747,"expression_no_base_symbol":"⨈⪑(($1244$⇌⫙⪟$1846$)∘($1906$⊍))⇤(($3244$⪁$1177$)⪬∳)","expression":"⨈⪑((⫏≰1201002⇌⫙⪟⫏≰2112101)∘(⫏≰2121121⊍))⇤((⫏≰11110011⪁⫏≰1121121)⪬∳)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21007690,"operation_count":7,"complexity_ratio":3001098.5714285714,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1244,"base":3},"right_expr":{"type":"numeric_atoms","value":1846,"base":3}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1906,"base":3}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3244,"base":3},"right_expr":{"type":"numeric_atoms","value":1177,"base":3}}}}},"used_operators":["mp94q5OcYM","YSKBFp38Pu","Z5m6OM72h2","AFVx7xoS7T","3nqY3DE9mg","O9U3z1385E","I7sXao9hZE"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=1846","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1846, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1906","layer":4},{"info":"compute unary expreesion, input=1906, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=4038","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=4038, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=226","layer":2},{"info":"number node, value=3244","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=1177, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=226, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨈⪑((⫏≰1201002⇌⫙⪟⫏≰2112101)∘(⫏≰2121121⊍))⇤((⫏≰11110011⪁⫏≰1121121)⪬∳)=NaN","reverse_text":"NaN=⨈⪑((⫏≰1201002⇌⫙⪟⫏≰2112101)∘(⫏≰2121121⊍))⇤((⫏≰11110011⪁⫏≰1121121)⪬∳)","cot":[{"info":"⫏≰1201002⇌⫙⪟⫏≰2112101=⫏≰11012","layer":3},{"info":"⫏≰2121121⊍=⫏≰12112120","layer":3},{"info":"⫏≰11012∘⫏≰12112120=⫏≰22101","layer":2},{"info":"⫏≰11110011⪁⫏≰1121121=NaN","layer":3},{"info":"NaN⪬∳=NaN","layer":2},{"info":"⫏≰22101⇤NaN=NaN","layer":1},{"info":"⨈⪑NaN=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"((($2276$↠)⩹$1283$⨟⋌⩍$4231$)⇌⫙⪟(⋗⩬⋾($3597$⫸⊐$1470$)))⨑⩅≇(($1141$+⇶⊼$3197$)⋣⋖$1303$⨂≜$2896$≚⋢)","expression":"(((⫏≰10010022↠)⩹⫏≰1202112⨟⋌⩍⫏≰12210201)⇌⫙⪟(⋗⩬⋾(⫏≰11221020⫸⊐⫏≰2000110)))⨑⩅≇((⫏≰1120021+⇶⊼⫏≰11101102)⋣⋖⫏≰1210021⨂≜⫏≰10222021≚⋢)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1602,"operation_count":11,"complexity_ratio":145.63636363636363,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":2276,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1283,"base":3},"right_expr":{"type":"numeric_atoms","value":4231,"base":3}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3597,"base":3},"right_expr":{"type":"numeric_atoms","value":1470,"base":3}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1141,"base":3},"right_expr":{"type":"numeric_atoms","value":3197,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1303,"base":3},"right_expr":{"type":"numeric_atoms","value":2896,"base":3}}}}},"used_operators":["h92wMvzauj","AFVx7xoS7T","2Wsdkap16l","LBdsKIvxzf","rGHVDoGpnC","DpFCA1CohY","mqXw5SEYmG","MahUMFw56D","J0M6qkBnIM","TpPTUOHfaN","k1SHOSEABc"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","AHs5Up7iyr","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⫏≰1021122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2276","layer":4},{"info":"compute unary expreesion, input=2276, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=4231, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, 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=nan","layer":2},{"info":"number node, value=3597","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=3597, right_input=1470, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5755","layer":3},{"info":"compute unary expreesion, input=5755, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17265","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17265, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=1141","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=3197, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1303","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2896, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-89, 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":3,"result_base":3,"text":"(((⫏≰10010022↠)⩹⫏≰1202112⨟⋌⩍⫏≰12210201)⇌⫙⪟(⋗⩬⋾(⫏≰11221020⫸⊐⫏≰2000110)))⨑⩅≇((⫏≰1120021+⇶⊼⫏≰11101102)⋣⋖⫏≰1210021⨂≜⫏≰10222021≚⋢)=⫏≰1021122","reverse_text":"⫏≰1021122=(((⫏≰10010022↠)⩹⫏≰1202112⨟⋌⩍⫏≰12210201)⇌⫙⪟(⋗⩬⋾(⫏≰11221020⫸⊐⫏≰2000110)))⨑⩅≇((⫏≰1120021+⇶⊼⫏≰11101102)⋣⋖⫏≰1210021⨂≜⫏≰10222021≚⋢)","cot":[{"info":"⫏≰10010022↠=⫏≰-121120","layer":3},{"info":"⫏≰1202112⨟⋌⩍⫏≰12210201=NaN","layer":3},{"info":"⫏≰-121120⩹NaN=NaN","layer":2},{"info":"⫏≰11221020⫸⊐⫏≰2000110=⫏≰21220011","layer":3},{"info":"⋗⩬⋾⫏≰21220011=⫏≰-212200110","layer":2},{"info":"NaN⇌⫙⪟⫏≰-212200110=NaN","layer":1},{"info":"⫏≰1120021+⇶⊼⫏≰11101102=NaN","layer":3},{"info":"⫏≰1210021⨂≜⫏≰10222021=NaN","layer":3},{"info":"NaN⋣⋖NaN=NaN","layer":2},{"info":"NaN≚⋢=⫏≰-10022","layer":1},{"info":"NaN⨑⩅≇⫏≰-10022=⫏≰1021122","layer":0}]}
{"id":749,"expression_no_base_symbol":"((⩒∊$3277$)⪇≇⋚($1477$⊬⫿⊭))→⨶⪴(($1648$↛⩡⫤)⩘($2187$⫡⨏$1220$))⪨≂(→⩰(⇜$3019$⊉↱≁$4855$))","expression":"((⩒∊⫏≰11111101)⪇≇⋚(⫏≰2000201⊬⫿⊭))→⨶⪴((⫏≰2021001↛⩡⫤)⩘(⫏≰10000000⫡⨏⫏≰1200012))⪨≂(→⩰(⇜⫏≰11010211⊉↱≁⫏≰20122211))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":741648,"operation_count":11,"complexity_ratio":67422.54545454546,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":3277,"base":3}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":1477,"base":3}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1648,"base":3}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2187,"base":3},"right_expr":{"type":"numeric_atoms","value":1220,"base":3}}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3019,"base":3},"right_expr":{"type":"numeric_atoms","value":4855,"base":3}}}}},"used_operators":["sdazOOVcIp","bF6eod5Gvf","3sJ7IOPOlU","qazvmhNBbN","v0DYgG9ikt","cHh1gJQ2o6","FU0Cs4j7VP","QMFrweE19q","o8Pngz0Tml","lFBm8KRb8F","w2P8NbNXyL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3277","layer":4},{"info":"compute unary expreesion, input=3277, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=5797","layer":3},{"info":"number node, value=1477","layer":4},{"info":"compute unary expreesion, input=1477, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-4431","layer":3},{"info":"compute binary expreesion, left_input=5797, right_input=-4431, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1648","layer":4},{"info":"compute unary expreesion, input=1648, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-244937","layer":3},{"info":"number node, value=2187","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=1220, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14158","layer":3},{"info":"compute binary expreesion, left_input=-244937, right_input=14158, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-480","layer":1},{"info":"number node, value=3019","layer":4},{"info":"number node, value=4855","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=4855, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-54","layer":3},{"info":"compute unary expreesion, input=-54, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute unary expreesion, input=232, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⩒∊⫏≰11111101)⪇≇⋚(⫏≰2000201⊬⫿⊭))→⨶⪴((⫏≰2021001↛⩡⫤)⩘(⫏≰10000000⫡⨏⫏≰1200012))⪨≂(→⩰(⇜⫏≰11010211⊉↱≁⫏≰20122211))=NaN","reverse_text":"NaN=((⩒∊⫏≰11111101)⪇≇⋚(⫏≰2000201⊬⫿⊭))→⨶⪴((⫏≰2021001↛⩡⫤)⩘(⫏≰10000000⫡⨏⫏≰1200012))⪨≂(→⩰(⇜⫏≰11010211⊉↱≁⫏≰20122211))","cot":[{"info":"⩒∊⫏≰11111101=⫏≰21221201","layer":3},{"info":"⫏≰2000201⊬⫿⊭=⫏≰-20002010","layer":3},{"info":"⫏≰21221201⪇≇⋚⫏≰-20002010=⫏≰0","layer":2},{"info":"⫏≰2021001↛⩡⫤=⫏≰-110102222202","layer":3},{"info":"⫏≰10000000⫡⨏⫏≰1200012=⫏≰201102101","layer":3},{"info":"⫏≰-110102222202⩘⫏≰201102101=⫏≰12221","layer":2},{"info":"⫏≰0→⨶⪴⫏≰12221=⫏≰-122210","layer":1},{"info":"⫏≰11010211⊉↱≁⫏≰20122211=⫏≰-2000","layer":3},{"info":"⇜⫏≰-2000=⫏≰22121","layer":2},{"info":"→⩰⫏≰22121=NaN","layer":1},{"info":"⫏≰-122210⪨≂NaN=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"(⫵↿($5683$↙$4619$))⇡⇂((≸≮$3952$)⩍⋽⫝̸$3877$⨽∌$2756$)⪉⨛($1198$⪍↜⋙$1238$∝($1644$%$8647$))↬(↑($3503$∀⇚≩$1937$))","expression":"(⫵↿(⫏≰21210111↙⫏≰20100002))⇡⇂((≸≮⫏≰12102101)⩍⋽⫝̸⫏≰12022121⨽∌⫏≰10210002)⪉⨛(⫏≰1122101⪍↜⋙⫏≰1200212∝(⫏≰2020220%⫏≰102212021))↬(↑(⫏≰11210202∀⇚≩⫏≰2122202))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":61230,"operation_count":13,"complexity_ratio":4710.0,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5683,"base":3},"right_expr":{"type":"numeric_atoms","value":4619,"base":3}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3952,"base":3}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3877,"base":3},"right_expr":{"type":"numeric_atoms","value":2756,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1198,"base":3},"right_expr":{"type":"numeric_atoms","value":1238,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1644,"base":3},"right_expr":{"type":"numeric_atoms","value":8647,"base":3}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3503,"base":3},"right_expr":{"type":"numeric_atoms","value":1937,"base":3}}}}},"used_operators":["EWw2JM7wp4","UMwdvZNt44","ivGwdmUAux","yyfyN0ffXY","BiWNJpBvwn","AljMvE3RRm","9samAPKr6k","B5M0gjZbta","cTDWOvIxvz","L05ObWFQCd","k8jYdgA6NY","tR7O2zTn5j","LRNGc0VcxI"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","tmPS8pqC7x","DpFCA1CohY","Ph9nP6C5qx","xUOZtlo3hN","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rGHVDoGpnC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5683","layer":4},{"info":"number node, value=4619","layer":4},{"info":"compute binary expreesion, left_input=5683, right_input=4619, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13857","layer":3},{"info":"compute unary expreesion, input=-13857, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=3952","layer":4},{"info":"compute unary expreesion, input=3952, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=3877","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=2756, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=-209, 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=-140","layer":1},{"info":"number node, value=1198","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=1238, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-80","layer":3},{"info":"number node, value=1644","layer":4},{"info":"number node, value=8647","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=8647, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1644","layer":3},{"info":"compute binary expreesion, left_input=-80, right_input=1644, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-75","layer":2},{"info":"number node, value=3503","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=3503, right_input=1937, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-75, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-140, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫵↿(⫏≰21210111↙⫏≰20100002))⇡⇂((≸≮⫏≰12102101)⩍⋽⫝̸⫏≰12022121⨽∌⫏≰10210002)⪉⨛(⫏≰1122101⪍↜⋙⫏≰1200212∝(⫏≰2020220%⫏≰102212021))↬(↑(⫏≰11210202∀⇚≩⫏≰2122202))=NaN","reverse_text":"NaN=(⫵↿(⫏≰21210111↙⫏≰20100002))⇡⇂((≸≮⫏≰12102101)⩍⋽⫝̸⫏≰12022121⨽∌⫏≰10210002)⪉⨛(⫏≰1122101⪍↜⋙⫏≰1200212∝(⫏≰2020220%⫏≰102212021))↬(↑(⫏≰11210202∀⇚≩⫏≰2122202))","cot":[{"info":"⫏≰21210111↙⫏≰20100002=⫏≰-201000020","layer":3},{"info":"⫵↿⫏≰-201000020=⫏≰12002","layer":2},{"info":"≸≮⫏≰12102101=NaN","layer":3},{"info":"⫏≰12022121⨽∌⫏≰10210002=⫏≰0","layer":3},{"info":"NaN⩍⋽⫝̸⫏≰0=⫏≰-21202","layer":2},{"info":"⫏≰12002⇡⇂⫏≰-21202=⫏≰-12012","layer":1},{"info":"⫏≰1122101⪍↜⋙⫏≰1200212=⫏≰-2222","layer":3},{"info":"⫏≰2020220%⫏≰102212021=⫏≰2020220","layer":3},{"info":"⫏≰-2222∝⫏≰2020220=⫏≰-2210","layer":2},{"info":"⫏≰11210202∀⇚≩⫏≰2122202=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"⫏≰-2210↬NaN=NaN","layer":1},{"info":"⫏≰-12012⪉⨛NaN=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"((⊖∈$3986$⋕⪉⪜$4018$)↱(⩩($1052$∘$2247$)))⪘⨀","expression":"((⊖∈⫏≰12110122⋕⪉⪜⫏≰12111211)↱(⩩(⫏≰1102222∘⫏≰10002020)))⪘⨀","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3196,"operation_count":6,"complexity_ratio":532.6666666666666,"tree":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3986,"base":3},"right_expr":{"type":"numeric_atoms","value":4018,"base":3}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1052,"base":3},"right_expr":{"type":"numeric_atoms","value":2247,"base":3}}}}},"used_operators":["aA7tF3KVD3","SR5kFfdi6N","YFxL8Sc2Zy","z6LnFrNh4i","kMhfGuqI2H","Z5m6OM72h2"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3986","layer":4},{"info":"number node, value=4018","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=4018, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=50446","layer":2},{"info":"number node, value=1052","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=2247, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2104","layer":3},{"info":"compute unary expreesion, input=2104, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=50446, right_input=nan, 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=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊖∈⫏≰12110122⋕⪉⪜⫏≰12111211)↱(⩩(⫏≰1102222∘⫏≰10002020)))⪘⨀=NaN","reverse_text":"NaN=((⊖∈⫏≰12110122⋕⪉⪜⫏≰12111211)↱(⩩(⫏≰1102222∘⫏≰10002020)))⪘⨀","cot":[{"info":"⫏≰12110122⋕⪉⪜⫏≰12111211=⫏≰10211210","layer":3},{"info":"⊖∈⫏≰10211210=⫏≰2120012101","layer":2},{"info":"⫏≰1102222∘⫏≰10002020=⫏≰2212221","layer":3},{"info":"⩩⫏≰2212221=NaN","layer":2},{"info":"⫏≰2120012101↱NaN=NaN","layer":1},{"info":"NaN⪘⨀=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"(⇋⊎⋝$1848$)⇍⊗($1145$∼$4184$)≳⇉($2364$⪟⇏$1809$⫃⨇$1979$≭$4144$)≳⇉(∑⇻≧$2547$↞⋁$1029$⨫⇇↔($5289$⪭$1025$))","expression":"(⇋⊎⋝⫏≰2112110)⇍⊗(⫏≰1120102∼⫏≰12201222)≳⇉(⫏≰10020120⪟⇏⫏≰2111000⫃⨇⫏≰2201022≭⫏≰12200111)≳⇉(∑⇻≧⫏≰10111100↞⋁⫏≰1102010⨫⇇↔(⫏≰21020220⪭⫏≰1101222))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2821,"operation_count":12,"complexity_ratio":235.08333333333334,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1848,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1145,"base":3},"right_expr":{"type":"numeric_atoms","value":4184,"base":3}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2364,"base":3},"right_expr":{"type":"numeric_atoms","value":1809,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1979,"base":3},"right_expr":{"type":"numeric_atoms","value":4144,"base":3}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2547,"base":3},"right_expr":{"type":"numeric_atoms","value":1029,"base":3}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5289,"base":3},"right_expr":{"type":"numeric_atoms","value":1025,"base":3}}}}},"used_operators":["V0kx6qeWkN","5uvYHDjeKN","CzM2PEoXns","DyGG3AbaNP","09Ly4LVMIf","GODebY97qR","rxpJgHHUmx","l1M9WJ3V7u","LXhwmt4mBO","RqrPlJkxDo","j9kHMeSvPp"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","AHs5Up7iyr","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1848","layer":4},{"info":"compute unary expreesion, input=1848, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=4184","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=4184, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"number node, value=2364","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=1809, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1979","layer":4},{"info":"number node, value=4144","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=4144, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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=2547","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=1029, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=5289","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=5289, right_input=1025, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=353","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=353, 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":3,"result_base":3,"text":"(⇋⊎⋝⫏≰2112110)⇍⊗(⫏≰1120102∼⫏≰12201222)≳⇉(⫏≰10020120⪟⇏⫏≰2111000⫃⨇⫏≰2201022≭⫏≰12200111)≳⇉(∑⇻≧⫏≰10111100↞⋁⫏≰1102010⨫⇇↔(⫏≰21020220⪭⫏≰1101222))=NaN","reverse_text":"NaN=(⇋⊎⋝⫏≰2112110)⇍⊗(⫏≰1120102∼⫏≰12201222)≳⇉(⫏≰10020120⪟⇏⫏≰2111000⫃⨇⫏≰2201022≭⫏≰12200111)≳⇉(∑⇻≧⫏≰10111100↞⋁⫏≰1102010⨫⇇↔(⫏≰21020220⪭⫏≰1101222))","cot":[{"info":"⇋⊎⋝⫏≰2112110=NaN","layer":3},{"info":"⫏≰1120102∼⫏≰12201222=NaN","layer":3},{"info":"NaN⇍⊗NaN=NaN","layer":2},{"info":"⫏≰10020120⪟⇏⫏≰2111000=⫏≰-1","layer":3},{"info":"⫏≰2201022≭⫏≰12200111=NaN","layer":3},{"info":"⫏≰-1⫃⨇NaN=NaN","layer":2},{"info":"NaN≳⇉NaN=NaN","layer":1},{"info":"⫏≰10111100↞⋁⫏≰1102010=NaN","layer":3},{"info":"⫏≰21020220⪭⫏≰1101222=⫏≰12","layer":3},{"info":"NaN⨫⇇↔⫏≰12=⫏≰-201112","layer":2},{"info":"∑⇻≧⫏≰-201112=⫏≰111002","layer":1},{"info":"NaN≳⇉⫏≰111002=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"⋠∜(($5085$⨳⩥⨓$4813$)⨼⩣($3341$⫌⩹⨱)⪢(($1084$⨒$4662$)⫸⊐$6020$⪡$4018$))","expression":"⋠∜((⫏≰20222100⨳⩥⨓⫏≰20121021)⨼⩣(⫏≰11120202⫌⩹⨱)⪢((⫏≰1111011⨒⫏≰20101200)⫸⊐⫏≰22020222⪡⫏≰12111211))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1397,"operation_count":8,"complexity_ratio":174.625,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5085,"base":3},"right_expr":{"type":"numeric_atoms","value":4813,"base":3}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3341,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1084,"base":3},"right_expr":{"type":"numeric_atoms","value":4662,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":6020,"base":3},"right_expr":{"type":"numeric_atoms","value":4018,"base":3}}}}},"used_operators":["ZJpFhNJr3x","dWAJyo7jo9","JxwMv5le6e","nCS4ZIUYfx","EBcxylXtPf","mqXw5SEYmG","y75s1iXyHd","oraRL2iQuh"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","k8jYdgA6NY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5085","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=5085, right_input=4813, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-272","layer":3},{"info":"number node, value=3341","layer":4},{"info":"compute unary expreesion, input=3341, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8083","layer":3},{"info":"compute binary expreesion, left_input=-272, right_input=8083, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1084","layer":4},{"info":"number node, value=4662","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=4662, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6132","layer":3},{"info":"number node, value=6020","layer":4},{"info":"number node, value=4018","layer":4},{"info":"compute binary expreesion, left_input=6020, right_input=4018, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-6132, right_input=107, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":0}],"base":3,"result_base":3,"text":"⋠∜((⫏≰20222100⨳⩥⨓⫏≰20121021)⨼⩣(⫏≰11120202⫌⩹⨱)⪢((⫏≰1111011⨒⫏≰20101200)⫸⊐⫏≰22020222⪡⫏≰12111211))=⫏≰2111","reverse_text":"⫏≰2111=⋠∜((⫏≰20222100⨳⩥⨓⫏≰20121021)⨼⩣(⫏≰11120202⫌⩹⨱)⪢((⫏≰1111011⨒⫏≰20101200)⫸⊐⫏≰22020222⪡⫏≰12111211))","cot":[{"info":"⫏≰20222100⨳⩥⨓⫏≰20121021=⫏≰-101002","layer":3},{"info":"⫏≰11120202⫌⩹⨱=⫏≰102002101","layer":3},{"info":"⫏≰-101002⨼⩣⫏≰102002101=NaN","layer":2},{"info":"⫏≰1111011⨒⫏≰20101200=⫏≰-22102010","layer":3},{"info":"⫏≰22020222⪡⫏≰12111211=⫏≰10222","layer":3},{"info":"⫏≰-22102010⫸⊐⫏≰10222=⫏≰1022212","layer":2},{"info":"NaN⪢⫏≰1022212=NaN","layer":1},{"info":"⋠∜NaN=⫏≰2111","layer":0}]}
{"id":754,"expression_no_base_symbol":"($1180$⨔⇊$5057$≀⩗∶$3464$⩣⫁∢$4319$↸($2181$≎⊠⪸$2576$⊭∹↮))⩘(((⇤←$5818$)≀⩗∶$6282$∠⫱$3353$)⫰⋱(($2750$⋭≵$4126$)⋭≵$6514$⊬⨰$1164$))","expression":"(⫏≰1121201⨔⇊⫏≰20221022≀⩗∶⫏≰11202022⩣⫁∢⫏≰12220222↸(⫏≰2222210≎⊠⪸⫏≰10112102⊭∹↮))⩘(((⇤←⫏≰21222111)≀⩗∶⫏≰22121200∠⫱⫏≰11121012)⫰⋱((⫏≰10202212⋭≵⫏≰12122211)⋭≵⫏≰22221021⊬⨰⫏≰1121010))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":589,"operation_count":14,"complexity_ratio":42.07142857142857,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1180,"base":3},"right_expr":{"type":"numeric_atoms","value":5057,"base":3}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3464,"base":3},"right_expr":{"type":"numeric_atoms","value":4319,"base":3}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2181,"base":3},"right_expr":{"type":"numeric_atoms","value":2576,"base":3}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":5818,"base":3}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6282,"base":3},"right_expr":{"type":"numeric_atoms","value":3353,"base":3}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2750,"base":3},"right_expr":{"type":"numeric_atoms","value":4126,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6514,"base":3},"right_expr":{"type":"numeric_atoms","value":1164,"base":3}}}}},"used_operators":["cHh1gJQ2o6","1eCjFl0mb9","8INZBEW696","JclMnS0uGI","JDUIKTTSIa","xNBdhnnwKq","bJkvcejdHO","6o9Blt3TJ6","jfAgQ2OQeM","QvoQhV0rrE","jBncVCNhdl","s3Fd5m9Dh2"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"number node, value=5057","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=5057, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5057","layer":3},{"info":"number node, value=3464","layer":4},{"info":"number node, value=4319","layer":4},{"info":"compute binary expreesion, left_input=3464, right_input=4319, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6767","layer":3},{"info":"compute binary expreesion, left_input=5057, right_input=-6767, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=6","layer":2},{"info":"number node, value=2181","layer":4},{"info":"number node, value=2576","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=2576, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=564406","layer":3},{"info":"compute unary expreesion, input=564406, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=1128812","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=1128812, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6","layer":1},{"info":"number node, value=5818","layer":4},{"info":"compute unary expreesion, input=5818, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-27724","layer":3},{"info":"number node, value=6282","layer":4},{"info":"number node, value=3353","layer":4},{"info":"compute binary expreesion, left_input=6282, right_input=3353, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-27724, right_input=1234, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"number node, value=2750","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=4126, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=6514","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=6514, right_input=1164, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=10114","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=10114, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-100","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-100, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=30","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=30, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1121201⨔⇊⫏≰20221022≀⩗∶⫏≰11202022⩣⫁∢⫏≰12220222↸(⫏≰2222210≎⊠⪸⫏≰10112102⊭∹↮))⩘(((⇤←⫏≰21222111)≀⩗∶⫏≰22121200∠⫱⫏≰11121012)⫰⋱((⫏≰10202212⋭≵⫏≰12122211)⋭≵⫏≰22221021⊬⨰⫏≰1121010))=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰1121201⨔⇊⫏≰20221022≀⩗∶⫏≰11202022⩣⫁∢⫏≰12220222↸(⫏≰2222210≎⊠⪸⫏≰10112102⊭∹↮))⩘(((⇤←⫏≰21222111)≀⩗∶⫏≰22121200∠⫱⫏≰11121012)⫰⋱((⫏≰10202212⋭≵⫏≰12122211)⋭≵⫏≰22221021⊬⨰⫏≰1121010))","cot":[{"info":"⫏≰1121201⨔⇊⫏≰20221022=⫏≰20221022","layer":3},{"info":"⫏≰11202022⩣⫁∢⫏≰12220222=⫏≰-100021122","layer":3},{"info":"⫏≰20221022≀⩗∶⫏≰-100021122=⫏≰20","layer":2},{"info":"⫏≰2222210≎⊠⪸⫏≰10112102=⫏≰1001200012221","layer":3},{"info":"⫏≰1001200012221⊭∹↮=⫏≰2010100102212","layer":2},{"info":"⫏≰20↸⫏≰2010100102212=⫏≰20","layer":1},{"info":"⇤←⫏≰21222111=⫏≰-1102000211","layer":3},{"info":"⫏≰22121200∠⫱⫏≰11121012=⫏≰1200201","layer":3},{"info":"⫏≰-1102000211≀⩗∶⫏≰1200201=⫏≰10","layer":2},{"info":"⫏≰10202212⋭≵⫏≰12122211=⫏≰2111","layer":3},{"info":"⫏≰22221021⊬⨰⫏≰1121010=⫏≰111212121","layer":3},{"info":"⫏≰2111⋭≵⫏≰111212121=⫏≰-10201","layer":2},{"info":"⫏≰10⫰⋱⫏≰-10201=⫏≰1010","layer":1},{"info":"⫏≰20⩘⫏≰1010=⫏≰12221","layer":0}]}
{"id":755,"expression_no_base_symbol":"((↨(≛$1866$))⪒($1872$∷$4367$⫡⨏$2578$⩨$4582$))⊅","expression":"((↨(≛⫏≰2120010))⪒(⫏≰2120100∷⫏≰12222202⫡⨏⫏≰10112111⩨⫏≰20021201))⊅","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":861,"operation_count":7,"complexity_ratio":123.0,"tree":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1866,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1872,"base":3},"right_expr":{"type":"numeric_atoms","value":4367,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2578,"base":3},"right_expr":{"type":"numeric_atoms","value":4582,"base":3}}}}},"used_operators":["7p6YLioM7f","f6k1SAg4EE","jiX4gk2v2Q","W7eaUhjymW","QMFrweE19q","D3AQDKkPcf","2DlMacCsIx"],"dependent_operators":["SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰212020200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1866","layer":4},{"info":"compute unary expreesion, input=1866, 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":3},{"info":"compute unary expreesion, input=-10, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":2},{"info":"number node, value=1872","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=1872, right_input=4367, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4367","layer":3},{"info":"number node, value=2578","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=4582, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=4367, right_input=-3, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22612","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=22612, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-22612","layer":1},{"info":"compute unary expreesion, input=-22612, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":0}],"base":3,"result_base":3,"text":"((↨(≛⫏≰2120010))⪒(⫏≰2120100∷⫏≰12222202⫡⨏⫏≰10112111⩨⫏≰20021201))⊅=⫏≰212020200","reverse_text":"⫏≰212020200=((↨(≛⫏≰2120010))⪒(⫏≰2120100∷⫏≰12222202⫡⨏⫏≰10112111⩨⫏≰20021201))⊅","cot":[{"info":"≛⫏≰2120010=⫏≰-101","layer":3},{"info":"↨⫏≰-101=⫏≰0","layer":2},{"info":"⫏≰2120100∷⫏≰12222202=⫏≰12222202","layer":3},{"info":"⫏≰10112111⩨⫏≰20021201=⫏≰-10","layer":3},{"info":"⫏≰12222202⫡⨏⫏≰-10=⫏≰1011000111","layer":2},{"info":"⫏≰0⪒⫏≰1011000111=⫏≰-1011000111","layer":1},{"info":"⫏≰-1011000111⊅=⫏≰212020200","layer":0}]}
{"id":756,"expression_no_base_symbol":"(($2137$⫉⨲⊜$6806$⨵⪆$3054$⪍↜⋙$1349$)⫌⩉⩟($1244$⊚⫡⫭)⋻⩜⩜($2239$⊢))⊢(⨑⩽⪐(($1145$⊭∹↮)⩹($2119$⨁⊸⫻)))","expression":"((⫏≰2221011⫉⨲⊜⫏≰100100002⨵⪆⫏≰11012010⪍↜⋙⫏≰1211222)⫌⩉⩟(⫏≰1201002⊚⫡⫭)⋻⩜⩜(⫏≰10001221⊢))⊢(⨑⩽⪐((⫏≰1120102⊭∹↮)⩹(⫏≰2220111⨁⊸⫻)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":35424,"operation_count":12,"complexity_ratio":2952.0,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2137,"base":3},"right_expr":{"type":"numeric_atoms","value":6806,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3054,"base":3},"right_expr":{"type":"numeric_atoms","value":1349,"base":3}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1244,"base":3}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2239,"base":3}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1145,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2119,"base":3}}}}},"used_operators":["5twsqlHp2o","XIIwhv8d0m","2DQ55sFlQl","WhqkvtTD3t","L05ObWFQCd","oDCm7WA9JY","SpZWOsLKZJ","40aOVDgCDB","AF7qkfDlqP","2Wsdkap16l","xNBdhnnwKq","glklzrTFfD"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰-12100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":4},{"info":"number node, value=6806","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=6806, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3054","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=1349, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=3410","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3410, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1244","layer":4},{"info":"compute unary expreesion, input=1244, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1562","layer":3},{"info":"number node, value=2239","layer":4},{"info":"compute unary expreesion, input=2239, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2486","layer":3},{"info":"compute binary expreesion, left_input=-1562, right_input=-2486, 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":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2290","layer":3},{"info":"number node, value=2119","layer":4},{"info":"compute unary expreesion, input=2119, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2119","layer":3},{"info":"compute binary expreesion, left_input=2290, right_input=2119, 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=2117","layer":2},{"info":"compute unary expreesion, input=2117, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1844","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=-1844, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-144","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2221011⫉⨲⊜⫏≰100100002⨵⪆⫏≰11012010⪍↜⋙⫏≰1211222)⫌⩉⩟(⫏≰1201002⊚⫡⫭)⋻⩜⩜(⫏≰10001221⊢))⊢(⨑⩽⪐((⫏≰1120102⊭∹↮)⩹(⫏≰2220111⨁⊸⫻)))=⫏≰-12100","reverse_text":"⫏≰-12100=((⫏≰2221011⫉⨲⊜⫏≰100100002⨵⪆⫏≰11012010⪍↜⋙⫏≰1211222)⫌⩉⩟(⫏≰1201002⊚⫡⫭)⋻⩜⩜(⫏≰10001221⊢))⊢(⨑⩽⪐((⫏≰1120102⊭∹↮)⩹(⫏≰2220111⨁⊸⫻)))","cot":[{"info":"⫏≰2221011⫉⨲⊜⫏≰100100002=⫏≰0","layer":3},{"info":"⫏≰11012010⪍↜⋙⫏≰1211222=⫏≰11200022","layer":3},{"info":"⫏≰0⨵⪆⫏≰11200022=⫏≰12221","layer":2},{"info":"⫏≰1201002⊚⫡⫭=⫏≰-2010212","layer":3},{"info":"⫏≰10001221⊢=⫏≰-10102002","layer":3},{"info":"⫏≰-2010212⋻⩜⩜⫏≰-10102002=NaN","layer":2},{"info":"⫏≰12221⫌⩉⩟NaN=⫏≰-1212","layer":1},{"info":"⫏≰1120102⊭∹↮=⫏≰10010211","layer":3},{"info":"⫏≰2220111⨁⊸⫻=⫏≰2220111","layer":3},{"info":"⫏≰10010211⩹⫏≰2220111=⫏≰2220102","layer":2},{"info":"⨑⩽⪐⫏≰2220102=⫏≰-2112022","layer":1},{"info":"⫏≰-1212⊢⫏≰-2112022=⫏≰-12100","layer":0}]}
{"id":757,"expression_no_base_symbol":"(($3170$≀⩗∶$3220$)⇌⫙⪟(⋃$6318$)⪃↞⩐)⪍↜⋙((($8672$⇋≉)↓⨍⋜)⇄((⨂⪏⇭$4105$)⩨$5492$⊕∕$1661$))","expression":"((⫏≰11100102≀⩗∶⫏≰11102021)⇌⫙⪟(⋃⫏≰22200000)⪃↞⩐)⪍↜⋙(((⫏≰102220012⇋≉)↓⨍⋜)⇄((⨂⪏⇭⫏≰12122001)⩨⫏≰21112102⊕∕⫏≰2021112))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":570,"operation_count":11,"complexity_ratio":51.81818181818182,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3170,"base":3},"right_expr":{"type":"numeric_atoms","value":3220,"base":3}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":6318,"base":3}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":8672,"base":3}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":4105,"base":3}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5492,"base":3},"right_expr":{"type":"numeric_atoms","value":1661,"base":3}}}}},"used_operators":["L05ObWFQCd","grXIztHqDa","AFVx7xoS7T","8INZBEW696","3mBM5G4a3l","3EYGwJThht","3DVzLFNsE9","XIabStNQrY","2DlMacCsIx","AYdpE9sXAk","9cloC0Ngie"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","g55IO6H4Gj","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"⫏≰2200220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3170","layer":4},{"info":"number node, value=3220","layer":4},{"info":"compute binary expreesion, left_input=3170, right_input=3220, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"number node, value=6318","layer":4},{"info":"compute unary expreesion, input=6318, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=12738","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=12738, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=984","layer":1},{"info":"number node, value=8672","layer":4},{"info":"compute unary expreesion, input=8672, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=17246","layer":3},{"info":"compute unary expreesion, input=17246, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":2},{"info":"number node, value=4105","layer":4},{"info":"compute unary expreesion, input=4105, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=11336","layer":3},{"info":"number node, value=5492","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=5492, right_input=1661, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5492","layer":3},{"info":"compute binary expreesion, left_input=11336, right_input=5492, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6590, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=984, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1968","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11100102≀⩗∶⫏≰11102021)⇌⫙⪟(⋃⫏≰22200000)⪃↞⩐)⪍↜⋙(((⫏≰102220012⇋≉)↓⨍⋜)⇄((⨂⪏⇭⫏≰12122001)⩨⫏≰21112102⊕∕⫏≰2021112))=⫏≰2200220","reverse_text":"⫏≰2200220=((⫏≰11100102≀⩗∶⫏≰11102021)⇌⫙⪟(⋃⫏≰22200000)⪃↞⩐)⪍↜⋙(((⫏≰102220012⇋≉)↓⨍⋜)⇄((⨂⪏⇭⫏≰12122001)⩨⫏≰21112102⊕∕⫏≰2021112))","cot":[{"info":"⫏≰11100102≀⩗∶⫏≰11102021=⫏≰-10","layer":3},{"info":"⋃⫏≰22200000=⫏≰122110210","layer":3},{"info":"⫏≰-10⇌⫙⪟⫏≰122110210=⫏≰11012","layer":2},{"info":"⫏≰11012⪃↞⩐=⫏≰1100110","layer":1},{"info":"⫏≰102220012⇋≉=⫏≰212122202","layer":3},{"info":"⫏≰212122202↓⨍⋜=⫏≰100001002","layer":2},{"info":"⨂⪏⇭⫏≰12122001=⫏≰120112212","layer":3},{"info":"⫏≰21112102⊕∕⫏≰2021112=⫏≰21112102","layer":3},{"info":"⫏≰120112212⩨⫏≰21112102=⫏≰0","layer":2},{"info":"⫏≰100001002⇄⫏≰0=⫏≰0","layer":1},{"info":"⫏≰1100110⪍↜⋙⫏≰0=⫏≰2200220","layer":0}]}
{"id":758,"expression_no_base_symbol":"($2599$%$4029$)∼($1633$∽$2275$)⋾⨃∁(≔$3664$⪒⊣⊆$5732$)⇮⋭((≻⋜(⨣⨃⇪$5662$))⫻⋑⊟)","expression":"(⫏≰10120021%⫏≰12112020)∼(⫏≰2020111∽⫏≰10010021)⋾⨃∁(≔⫏≰12000201⪒⊣⊆⫏≰21212022)⇮⋭((≻⋜(⨣⨃⇪⫏≰21202201))⫻⋑⊟)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":211457,"operation_count":10,"complexity_ratio":21145.7,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2599,"base":3},"right_expr":{"type":"numeric_atoms","value":4029,"base":3}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1633,"base":3},"right_expr":{"type":"numeric_atoms","value":2275,"base":3}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3664,"base":3},"right_expr":{"type":"numeric_atoms","value":5732,"base":3}}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":5662,"base":3}}}}},"used_operators":["vkpjKywKVM","212REbPD9h","DyGG3AbaNP","k8jYdgA6NY","y4ImoPnbV5","8FLs4eVsLt","eRqsBgTDFp","o575Zjdmzy","3tj9sqzovi","AcOhelriW5"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2599","layer":4},{"info":"number node, value=4029","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=4029, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2599","layer":3},{"info":"number node, value=1633","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=2275, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14812","layer":3},{"info":"compute binary expreesion, left_input=2599, right_input=-14812, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=3664","layer":4},{"info":"number node, value=5732","layer":4},{"info":"compute binary expreesion, left_input=3664, right_input=5732, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7328","layer":3},{"info":"compute unary expreesion, input=7328, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-203890","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-203890, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"number node, value=5662","layer":4},{"info":"compute unary expreesion, input=5662, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10120021%⫏≰12112020)∼(⫏≰2020111∽⫏≰10010021)⋾⨃∁(≔⫏≰12000201⪒⊣⊆⫏≰21212022)⇮⋭((≻⋜(⨣⨃⇪⫏≰21202201))⫻⋑⊟)=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰10120021%⫏≰12112020)∼(⫏≰2020111∽⫏≰10010021)⋾⨃∁(≔⫏≰12000201⪒⊣⊆⫏≰21212022)⇮⋭((≻⋜(⨣⨃⇪⫏≰21202201))⫻⋑⊟)","cot":[{"info":"⫏≰10120021%⫏≰12112020=⫏≰10120021","layer":3},{"info":"⫏≰2020111∽⫏≰10010021=⫏≰-202022121","layer":3},{"info":"⫏≰10120021∼⫏≰-202022121=NaN","layer":2},{"info":"⫏≰12000201⪒⊣⊆⫏≰21212022=⫏≰101001102","layer":3},{"info":"≔⫏≰101001102=⫏≰-101100200111","layer":2},{"info":"NaN⋾⨃∁⫏≰-101100200111=NaN","layer":1},{"info":"⨣⨃⇪⫏≰21202201=⫏≰1221001","layer":3},{"info":"≻⋜⫏≰1221001=NaN","layer":2},{"info":"NaN⫻⋑⊟=NaN","layer":1},{"info":"NaN⇮⋭NaN=⫏≰2111","layer":0}]}
{"id":759,"expression_no_base_symbol":"($5922$∪⫐$1018$)≀⫉(⨑⩽⪐$4467$)⪶≀⋏($6197$⪉⨛$4498$)∌(⨰⫟⨤$5109$)⋭≵(∮(($1844$⊢$4607$)⨎⋸⪻))","expression":"(⫏≰22010100∪⫐⫏≰1101201)≀⫉(⨑⩽⪐⫏≰20010110)⪶≀⋏(⫏≰22111112⪉⨛⫏≰20011121)∌(⨰⫟⨤⫏≰21000020)⋭≵(∮((⫏≰2112022⊢⫏≰20022122)⨎⋸⪻))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20368,"operation_count":11,"complexity_ratio":1851.6363636363637,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5922,"base":3},"right_expr":{"type":"numeric_atoms","value":1018,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4467,"base":3}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6197,"base":3},"right_expr":{"type":"numeric_atoms","value":4498,"base":3}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5109,"base":3}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1844,"base":3},"right_expr":{"type":"numeric_atoms","value":4607,"base":3}}}}},"used_operators":["jBncVCNhdl","zR4jO40bMj","oZj3VtZNQx","7YooWSwCyH","AF7qkfDlqP","8cLx32lpNA","EWw2JM7wp4","Tw270M8GLb","CqXKPLVYql","Dk5vyLCiGd","5twsqlHp2o"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5922","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=5922, right_input=1018, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5922","layer":3},{"info":"number node, value=4467","layer":4},{"info":"compute unary expreesion, input=4467, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4194","layer":3},{"info":"compute binary expreesion, left_input=5922, right_input=-4194, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=6197","layer":4},{"info":"number node, value=4498","layer":4},{"info":"compute binary expreesion, left_input=6197, right_input=4498, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=14308","layer":3},{"info":"number node, value=5109","layer":4},{"info":"compute unary expreesion, input=5109, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14308, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=1844","layer":4},{"info":"number node, value=4607","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=4607, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3932","layer":3},{"info":"compute unary expreesion, input=-3932, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-7548","layer":2},{"info":"compute unary expreesion, input=-7548, 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=-245684","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-245684, 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":3,"result_base":3,"text":"(⫏≰22010100∪⫐⫏≰1101201)≀⫉(⨑⩽⪐⫏≰20010110)⪶≀⋏(⫏≰22111112⪉⨛⫏≰20011121)∌(⨰⫟⨤⫏≰21000020)⋭≵(∮((⫏≰2112022⊢⫏≰20022122)⨎⋸⪻))=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰22010100∪⫐⫏≰1101201)≀⫉(⨑⩽⪐⫏≰20010110)⪶≀⋏(⫏≰22111112⪉⨛⫏≰20011121)∌(⨰⫟⨤⫏≰21000020)⋭≵(∮((⫏≰2112022⊢⫏≰20022122)⨎⋸⪻))","cot":[{"info":"⫏≰22010100∪⫐⫏≰1101201=⫏≰22010100","layer":3},{"info":"⨑⩽⪐⫏≰20010110=⫏≰-12202100","layer":3},{"info":"⫏≰22010100≀⫉⫏≰-12202100=⫏≰10212112","layer":2},{"info":"⫏≰22111112⪉⨛⫏≰20011121=⫏≰201121221","layer":3},{"info":"⨰⫟⨤⫏≰21000020=NaN","layer":3},{"info":"⫏≰201121221∌NaN=NaN","layer":2},{"info":"⫏≰10212112⪶≀⋏NaN=NaN","layer":1},{"info":"⫏≰2112022⊢⫏≰20022122=⫏≰-12101122","layer":3},{"info":"⫏≰-12101122⨎⋸⪻=⫏≰-101100120","layer":2},{"info":"∮⫏≰-101100120=⫏≰-110111000102","layer":1},{"info":"NaN⋭≵⫏≰-110111000102=⫏≰2111","layer":0}]}
{"id":760,"expression_no_base_symbol":"(($1038$⨎$3766$)⊋≦⊧$1831$≦↸$4805$∲⫓($3828$⪔$1610$)⊔$1575$↼⊘⨖$9077$)⇷((⇖⫷⫕(⨡↴$1229$))≭($1231$∠↢$4401$⪄$1163$⫯⪬∳$5255$))","expression":"((⫏≰1102110⨎⫏≰12011111)⊋≦⊧⫏≰2111211≦↸⫏≰20120222∲⫓(⫏≰12020210⪔⫏≰2012122)⊔⫏≰2011100↼⊘⨖⫏≰110110012)⇷((⇖⫷⫕(⨡↴⫏≰1200112))≭(⫏≰1200121∠↢⫏≰20001000⪄⫏≰1121002⫯⪬∳⫏≰21012122))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2655,"operation_count":14,"complexity_ratio":189.64285714285714,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1038,"base":3},"right_expr":{"type":"numeric_atoms","value":3766,"base":3}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1831,"base":3},"right_expr":{"type":"numeric_atoms","value":4805,"base":3}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3828,"base":3},"right_expr":{"type":"numeric_atoms","value":1610,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1575,"base":3},"right_expr":{"type":"numeric_atoms","value":9077,"base":3}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1229,"base":3}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1231,"base":3},"right_expr":{"type":"numeric_atoms","value":4401,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1163,"base":3},"right_expr":{"type":"numeric_atoms","value":5255,"base":3}}}}},"used_operators":["mp7IySMOzn","i8ToyICDmI","oRDoc9rAEX","rJVOvQCfKK","RygbFNSyEJ","E4l6HwMY31","GjBEYRfMaF","bPywburJMS","rxpJgHHUmx","UHmRx3INFg","liw5iZPkLH","SUmda5xLS4","KbjG8mgYpV","d7ASUq0ydm"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","AHs5Up7iyr","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","P8v4zCKN1o","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"number node, value=3766","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=3766, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3766","layer":3},{"info":"number node, value=1831","layer":4},{"info":"number node, value=4805","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=4805, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12591","layer":3},{"info":"compute binary expreesion, left_input=3766, right_input=-12591, 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=25422","layer":2},{"info":"number node, value=3828","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=3828, right_input=1610, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1575","layer":4},{"info":"number node, value=9077","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=9077, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=17932","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=17932, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=88160","layer":2},{"info":"compute binary expreesion, left_input=25422, right_input=88160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1229","layer":4},{"info":"compute unary expreesion, input=1229, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2278","layer":3},{"info":"compute unary expreesion, input=2278, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=1231","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=4401, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-65456","layer":3},{"info":"number node, value=1163","layer":4},{"info":"number node, value=5255","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=5255, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=593","layer":3},{"info":"compute binary expreesion, left_input=-65456, right_input=593, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=3979, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1102110⨎⫏≰12011111)⊋≦⊧⫏≰2111211≦↸⫏≰20120222∲⫓(⫏≰12020210⪔⫏≰2012122)⊔⫏≰2011100↼⊘⨖⫏≰110110012)⇷((⇖⫷⫕(⨡↴⫏≰1200112))≭(⫏≰1200121∠↢⫏≰20001000⪄⫏≰1121002⫯⪬∳⫏≰21012122))=NaN","reverse_text":"NaN=((⫏≰1102110⨎⫏≰12011111)⊋≦⊧⫏≰2111211≦↸⫏≰20120222∲⫓(⫏≰12020210⪔⫏≰2012122)⊔⫏≰2011100↼⊘⨖⫏≰110110012)⇷((⇖⫷⫕(⨡↴⫏≰1200112))≭(⫏≰1200121∠↢⫏≰20001000⪄⫏≰1121002⫯⪬∳⫏≰21012122))","cot":[{"info":"⫏≰1102110⨎⫏≰12011111=⫏≰12011111","layer":3},{"info":"⫏≰2111211≦↸⫏≰20120222=⫏≰-122021100","layer":3},{"info":"⫏≰12011111⊋≦⊧⫏≰-122021100=⫏≰1021212120","layer":2},{"info":"⫏≰12020210⪔⫏≰2012122=⫏≰121200","layer":3},{"info":"⫏≰2011100↼⊘⨖⫏≰110110012=⫏≰220121011","layer":3},{"info":"⫏≰121200⊔⫏≰220121011=⫏≰11110221012","layer":2},{"info":"⫏≰1021212120∲⫓⫏≰11110221012=⫏≰0","layer":1},{"info":"⨡↴⫏≰1200112=⫏≰10010101","layer":3},{"info":"⇖⫷⫕⫏≰10010101=⫏≰10212112","layer":2},{"info":"⫏≰1200121∠↢⫏≰20001000=⫏≰-10022210022","layer":3},{"info":"⫏≰1121002⫯⪬∳⫏≰21012122=⫏≰210222","layer":3},{"info":"⫏≰-10022210022⪄⫏≰210222=⫏≰12110101","layer":2},{"info":"⫏≰10212112≭⫏≰12110101=NaN","layer":1},{"info":"⫏≰0⇷NaN=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"((⇖($3543$⪢$2573$))⫩)⪭≯(($1172$∝$2080$)↬($3999$⇄$3420$)⨒($7527$⪁$1286$)⋓$1292$⨂≜$1611$)","expression":"((⇖(⫏≰11212020⪢⫏≰10112022))⫩)⪭≯((⫏≰1121102∝⫏≰2212001)↬(⫏≰12111010⇄⫏≰11200200)⨒(⫏≰101022210⪁⫏≰1202122)⋓⫏≰1202212⨂≜⫏≰2012200)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24070053,"operation_count":11,"complexity_ratio":2188186.6363636362,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3543,"base":3},"right_expr":{"type":"numeric_atoms","value":2573,"base":3}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1172,"base":3},"right_expr":{"type":"numeric_atoms","value":2080,"base":3}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3999,"base":3},"right_expr":{"type":"numeric_atoms","value":3420,"base":3}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":7527,"base":3},"right_expr":{"type":"numeric_atoms","value":1286,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1292,"base":3},"right_expr":{"type":"numeric_atoms","value":1611,"base":3}}}}},"used_operators":["XAx5wpdLa6","6aG7x05OhS","tfWHHpNKUN","dWAJyo7jo9","y75s1iXyHd","B5M0gjZbta","cTDWOvIxvz","3EYGwJThht","T2fj7uvVaJ","I7sXao9hZE","k1SHOSEABc"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","dWAJyo7jo9","2DQ55sFlQl","k8jYdgA6NY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rGHVDoGpnC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3543","layer":4},{"info":"number node, value=2573","layer":4},{"info":"compute binary expreesion, left_input=3543, right_input=2573, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1172","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=2080, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1177","layer":3},{"info":"number node, value=3999","layer":4},{"info":"number node, value=3420","layer":4},{"info":"compute binary expreesion, left_input=3999, right_input=3420, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1177, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=7527","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=7527, right_input=1286, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1292","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=1611, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇖(⫏≰11212020⪢⫏≰10112022))⫩)⪭≯((⫏≰1121102∝⫏≰2212001)↬(⫏≰12111010⇄⫏≰11200200)⨒(⫏≰101022210⪁⫏≰1202122)⋓⫏≰1202212⨂≜⫏≰2012200)=NaN","reverse_text":"NaN=((⇖(⫏≰11212020⪢⫏≰10112022))⫩)⪭≯((⫏≰1121102∝⫏≰2212001)↬(⫏≰12111010⇄⫏≰11200200)⨒(⫏≰101022210⪁⫏≰1202122)⋓⫏≰1202212⨂≜⫏≰2012200)","cot":[{"info":"⫏≰11212020⪢⫏≰10112022=NaN","layer":3},{"info":"⇖NaN=⫏≰12221","layer":2},{"info":"⫏≰12221⫩=NaN","layer":1},{"info":"⫏≰1121102∝⫏≰2212001=⫏≰1121121","layer":3},{"info":"⫏≰12111010⇄⫏≰11200200=⫏≰0","layer":3},{"info":"⫏≰1121121↬⫏≰0=NaN","layer":2},{"info":"⫏≰101022210⪁⫏≰1202122=NaN","layer":3},{"info":"⫏≰1202212⨂≜⫏≰2012200=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"NaN⨒NaN=NaN","layer":1},{"info":"NaN⪭≯NaN=NaN","layer":0}]}
{"id":762,"expression_no_base_symbol":"($1138$⫰⋱$3000$)⨥⫆($7299$≚⋢)∖($1066$⊍⩺⋍$5278$)⋥≓≎$5435$⫸⇳$1054$⨵⪆((($4098$⊋≦⊧$9215$)∵≐)⇗⋫)","expression":"(⫏≰1120011⫰⋱⫏≰11010010)⨥⫆(⫏≰101000100≚⋢)∖(⫏≰1110111⊍⩺⋍⫏≰21020111)⋥≓≎⫏≰21110022⫸⇳⫏≰1110001⨵⪆(((⫏≰12121210⊋≦⊧⫏≰110122022)∵≐)⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":532,"operation_count":11,"complexity_ratio":48.36363636363637,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1138,"base":3},"right_expr":{"type":"numeric_atoms","value":3000,"base":3}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":7299,"base":3}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1066,"base":3},"right_expr":{"type":"numeric_atoms","value":5278,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5435,"base":3},"right_expr":{"type":"numeric_atoms","value":1054,"base":3}}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4098,"base":3},"right_expr":{"type":"numeric_atoms","value":9215,"base":3}}}}},"used_operators":["2DQ55sFlQl","tXD093vOjl","yXekIHxTD4","6o9Blt3TJ6","MahUMFw56D","Qy55tPpLXF","OXDGMFPWZM","gx7XJ7hdpj","hpqmaQFPrd","59igzFyhWz","oRDoc9rAEX"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rxpJgHHUmx","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=3000, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1105","layer":3},{"info":"number node, value=7299","layer":4},{"info":"compute unary expreesion, input=7299, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=-1105, right_input=-89, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=5278","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=5278, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=5435","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=5435, right_input=1054, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=67, 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=4098","layer":4},{"info":"number node, value=9215","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=9215, 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=-13073","layer":3},{"info":"compute unary expreesion, input=-13073, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=12623","layer":2},{"info":"compute unary expreesion, input=12623, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1120011⫰⋱⫏≰11010010)⨥⫆(⫏≰101000100≚⋢)∖(⫏≰1110111⊍⩺⋍⫏≰21020111)⋥≓≎⫏≰21110022⫸⇳⫏≰1110001⨵⪆(((⫏≰12121210⊋≦⊧⫏≰110122022)∵≐)⇗⋫)=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰1120011⫰⋱⫏≰11010010)⨥⫆(⫏≰101000100≚⋢)∖(⫏≰1110111⊍⩺⋍⫏≰21020111)⋥≓≎⫏≰21110022⫸⇳⫏≰1110001⨵⪆(((⫏≰12121210⊋≦⊧⫏≰110122022)∵≐)⇗⋫)","cot":[{"info":"⫏≰1120011⫰⋱⫏≰11010010=⫏≰-1111221","layer":3},{"info":"⫏≰101000100≚⋢=⫏≰-10022","layer":3},{"info":"⫏≰-1111221⨥⫆⫏≰-10022=⫏≰-1","layer":2},{"info":"⫏≰1110111⊍⩺⋍⫏≰21020111=NaN","layer":3},{"info":"⫏≰21110022⫸⇳⫏≰1110001=⫏≰0","layer":3},{"info":"NaN⋥≓≎⫏≰0=⫏≰2111","layer":2},{"info":"⫏≰-1∖⫏≰2111=⫏≰0","layer":1},{"info":"⫏≰12121210⊋≦⊧⫏≰110122022=⫏≰-122221012","layer":3},{"info":"⫏≰-122221012∵≐=⫏≰122022112","layer":2},{"info":"⫏≰122022112⇗⋫=NaN","layer":1},{"info":"⫏≰0⨵⪆NaN=⫏≰12221","layer":0}]}
{"id":763,"expression_no_base_symbol":"(($3701$⇮⋭$4291$)⊨(⩩$2805$)⊾⪯⋞($5432$↓$1350$*$1490$∳⫺$4019$))↬(∑⇻≧$6653$)⫣⪄⊒($1479$⩹$6373$)∋(⫖→$1464$⋥⋵⩄$4847$)","expression":"((⫏≰12002002⇮⋭⫏≰12212221)⊨(⩩⫏≰10211220)⊾⪯⋞(⫏≰21110012↓⫏≰1212000*⫏≰2001012∳⫺⫏≰12111212))↬(∑⇻≧⫏≰100010102)⫣⪄⊒(⫏≰2000210⩹⫏≰22202001)∋(⫖→⫏≰2000020⋥⋵⩄⫏≰20122112)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23705,"operation_count":14,"complexity_ratio":1693.2142857142858,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3701,"base":3},"right_expr":{"type":"numeric_atoms","value":4291,"base":3}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2805,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":5432,"base":3},"right_expr":{"type":"numeric_atoms","value":1350,"base":3}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1490,"base":3},"right_expr":{"type":"numeric_atoms","value":4019,"base":3}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":6653,"base":3}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1479,"base":3},"right_expr":{"type":"numeric_atoms","value":6373,"base":3}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1464,"base":3},"right_expr":{"type":"numeric_atoms","value":4847,"base":3}}}}},"used_operators":["B5M0gjZbta","HK0tfVPux8","vg4gO5BX6G","vkpjKywKVM","kMhfGuqI2H","9HNa5Wba9A","Af076pWI7l","AzXXKTstlj","ukq6epAj5P","RabNbG55vr","l1M9WJ3V7u","2Wsdkap16l","U4ylXWHChL","7t3wd0Fuz7"],"dependent_operators":["rGHVDoGpnC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3701","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=3701, right_input=4291, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=2805","layer":4},{"info":"compute unary expreesion, input=2805, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"number node, value=5432","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=5432, right_input=1350, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1490","layer":4},{"info":"number node, value=4019","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=4019, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2016","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-2016, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=270144","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=270144, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"number node, value=6653","layer":4},{"info":"compute unary expreesion, input=6653, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1479","layer":4},{"info":"number node, value=6373","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=6373, 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=6371","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=6371, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1388","layer":2},{"info":"number node, value=1464","layer":4},{"info":"number node, value=4847","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=4847, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=-1388, right_input=177, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=240896","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=240896, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":3,"result_base":3,"text":"((⫏≰12002002⇮⋭⫏≰12212221)⊨(⩩⫏≰10211220)⊾⪯⋞(⫏≰21110012↓⫏≰1212000*⫏≰2001012∳⫺⫏≰12111212))↬(∑⇻≧⫏≰100010102)⫣⪄⊒(⫏≰2000210⩹⫏≰22202001)∋(⫖→⫏≰2000020⋥⋵⩄⫏≰20122112)=NaN","reverse_text":"NaN=((⫏≰12002002⇮⋭⫏≰12212221)⊨(⩩⫏≰10211220)⊾⪯⋞(⫏≰21110012↓⫏≰1212000*⫏≰2001012∳⫺⫏≰12111212))↬(∑⇻≧⫏≰100010102)⫣⪄⊒(⫏≰2000210⩹⫏≰22202001)∋(⫖→⫏≰2000020⋥⋵⩄⫏≰20122112)","cot":[{"info":"⫏≰12002002⇮⋭⫏≰12212221=⫏≰-122112","layer":3},{"info":"⩩⫏≰10211220=NaN","layer":3},{"info":"⫏≰-122112⊨NaN=NaN","layer":2},{"info":"⫏≰21110012↓⫏≰1212000=⫏≰-11222","layer":3},{"info":"⫏≰2001012∳⫺⫏≰12111212=⫏≰-2202200","layer":3},{"info":"⫏≰-11222*⫏≰-2202200=⫏≰111201120100","layer":2},{"info":"NaN⊾⪯⋞⫏≰111201120100=NaN","layer":1},{"info":"∑⇻≧⫏≰100010102=⫏≰-1011120","layer":3},{"info":"⫏≰2000210⩹⫏≰22202001=⫏≰22201222","layer":3},{"info":"⫏≰-1011120⫣⪄⊒⫏≰22201222=⫏≰-1220102","layer":2},{"info":"⫏≰2000020⋥⋵⩄⫏≰20122112=⫏≰11012","layer":3},{"info":"⫖→⫏≰11012=⫏≰20120","layer":2},{"info":"⫏≰-1220102∋⫏≰20120=⫏≰110020110002","layer":1},{"info":"NaN↬⫏≰110020110002=NaN","layer":0}]}
{"id":764,"expression_no_base_symbol":"(($1317$⪡$1754$)↤⩊($1865$⊵↤)↰)≎⊠⪸(↣≠⋷$1957$⪒⊣⊆$1053$)⪥($2185$⇆⨓≜)↓($2852$≭$1106$)","expression":"((⫏≰1210210⪡⫏≰2101222)↤⩊(⫏≰2120002⊵↤)↰)≎⊠⪸(↣≠⋷⫏≰2200111⪒⊣⊆⫏≰1110000)⪥(⫏≰2222221⇆⨓≜)↓(⫏≰10220122≭⫏≰1111222)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":686,"operation_count":11,"complexity_ratio":62.36363636363637,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1317,"base":3},"right_expr":{"type":"numeric_atoms","value":1754,"base":3}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1865,"base":3}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1957,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":2185,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2852,"base":3},"right_expr":{"type":"numeric_atoms","value":1106,"base":3}}}}},"used_operators":["bJkvcejdHO","bl5wxAcryP","13rbtpv6ld","oraRL2iQuh","7IPrd9c3lf","QbnwKVWMIQ","Asc51vEJeQ","eRqsBgTDFp","Af076pWI7l","KvvgdUaMHJ","rxpJgHHUmx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","Z2TMIBDE3Q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Uaa54Peajs","KYD54nUTWz","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1754, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, 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":3},{"info":"compute binary expreesion, left_input=107, right_input=67, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=nan","layer":1},{"info":"number node, value=1957","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=1053, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3914","layer":3},{"info":"compute unary expreesion, input=3914, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2185","layer":4},{"info":"compute unary expreesion, input=2185, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=2852","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=1106, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1210210⪡⫏≰2101222)↤⩊(⫏≰2120002⊵↤)↰)≎⊠⪸(↣≠⋷⫏≰2200111⪒⊣⊆⫏≰1110000)⪥(⫏≰2222221⇆⨓≜)↓(⫏≰10220122≭⫏≰1111222)=NaN","reverse_text":"NaN=((⫏≰1210210⪡⫏≰2101222)↤⩊(⫏≰2120002⊵↤)↰)≎⊠⪸(↣≠⋷⫏≰2200111⪒⊣⊆⫏≰1110000)⪥(⫏≰2222221⇆⨓≜)↓(⫏≰10220122≭⫏≰1111222)","cot":[{"info":"⫏≰1210210⪡⫏≰2101222=⫏≰10222","layer":3},{"info":"⫏≰2120002⊵↤=⫏≰2111","layer":3},{"info":"⫏≰10222↤⩊⫏≰2111=NaN","layer":2},{"info":"NaN↰=NaN","layer":1},{"info":"⫏≰2200111⪒⊣⊆⫏≰1110000=⫏≰12100222","layer":3},{"info":"↣≠⋷⫏≰12100222=NaN","layer":2},{"info":"⫏≰2222221⇆⨓≜=NaN","layer":3},{"info":"⫏≰10220122≭⫏≰1111222=NaN","layer":3},{"info":"NaN↓NaN=⫏≰-11222","layer":2},{"info":"NaN⪥⫏≰-11222=⫏≰-11022","layer":1},{"info":"NaN≎⊠⪸⫏≰-11022=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"(($6358$∪⫐$5680$)∝$4186$⨫⇇↔$5528$)⨚($2677$≦↸$5669$*$5757$≭$2064$)⫳≱↱($4660$⊭↱$4185$)≁↽≥($1535$⫚↹⊑$3674$)∥⊢⊲($5283$⋣⋖$1656$⨎(⇁⨣⪵$1478$))","expression":"((⫏≰22201111∪⫐⫏≰21210101)∝⫏≰12202001⨫⇇↔⫏≰21120202)⨚(⫏≰10200011≦↸⫏≰21202222*⫏≰21220020≭⫏≰2211110)⫳≱↱(⫏≰20101121⊭↱⫏≰12202000)≁↽≥(⫏≰2002212⫚↹⊑⫏≰12001002)∥⊢⊲(⫏≰21020200⋣⋖⫏≰2021100⨎(⇁⨣⪵⫏≰2000202))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":628,"operation_count":15,"complexity_ratio":41.86666666666667,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6358,"base":3},"right_expr":{"type":"numeric_atoms","value":5680,"base":3}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4186,"base":3},"right_expr":{"type":"numeric_atoms","value":5528,"base":3}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2677,"base":3},"right_expr":{"type":"numeric_atoms","value":5669,"base":3}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5757,"base":3},"right_expr":{"type":"numeric_atoms","value":2064,"base":3}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4660,"base":3},"right_expr":{"type":"numeric_atoms","value":4185,"base":3}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1535,"base":3},"right_expr":{"type":"numeric_atoms","value":3674,"base":3}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":5283,"base":3},"right_expr":{"type":"numeric_atoms","value":1656,"base":3}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1478,"base":3}}}}},"used_operators":["ZvLB05nZmT","nREPSIbpBE","cTDWOvIxvz","7YooWSwCyH","LXhwmt4mBO","9HNa5Wba9A","RygbFNSyEJ","rxpJgHHUmx","v1UQAVDJRr","ncHt1X6cMc","COABgblf1C","dfKe02y8D2","rJVOvQCfKK","J0M6qkBnIM","inkyxCbjAn"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","BjRHVeLaeN","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AHs5Up7iyr","EBcxylXtPf","rGHVDoGpnC","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6358","layer":4},{"info":"number node, value=5680","layer":4},{"info":"compute binary expreesion, left_input=6358, right_input=5680, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6358","layer":3},{"info":"number node, value=4186","layer":4},{"info":"number node, value=5528","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=5528, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=6358, right_input=-527, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6363","layer":2},{"info":"number node, value=2677","layer":4},{"info":"number node, value=5669","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=5669, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-16011","layer":3},{"info":"number node, value=5757","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=5757, right_input=2064, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16011, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6363, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=4660","layer":4},{"info":"number node, value=4185","layer":4},{"info":"compute binary expreesion, left_input=4660, right_input=4185, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-945","layer":3},{"info":"number node, value=1535","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=3674, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-945, right_input=-447, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=5283","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=5283, right_input=1656, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5283","layer":3},{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5283, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=nan, 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=nan, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22201111∪⫐⫏≰21210101)∝⫏≰12202001⨫⇇↔⫏≰21120202)⨚(⫏≰10200011≦↸⫏≰21202222*⫏≰21220020≭⫏≰2211110)⫳≱↱(⫏≰20101121⊭↱⫏≰12202000)≁↽≥(⫏≰2002212⫚↹⊑⫏≰12001002)∥⊢⊲(⫏≰21020200⋣⋖⫏≰2021100⨎(⇁⨣⪵⫏≰2000202))=NaN","reverse_text":"NaN=((⫏≰22201111∪⫐⫏≰21210101)∝⫏≰12202001⨫⇇↔⫏≰21120202)⨚(⫏≰10200011≦↸⫏≰21202222*⫏≰21220020≭⫏≰2211110)⫳≱↱(⫏≰20101121⊭↱⫏≰12202000)≁↽≥(⫏≰2002212⫚↹⊑⫏≰12001002)∥⊢⊲(⫏≰21020200⋣⋖⫏≰2021100⨎(⇁⨣⪵⫏≰2000202))","cot":[{"info":"⫏≰22201111∪⫐⫏≰21210101=⫏≰22201111","layer":3},{"info":"⫏≰12202001⨫⇇↔⫏≰21120202=⫏≰-201112","layer":3},{"info":"⫏≰22201111∝⫏≰-201112=⫏≰22201200","layer":2},{"info":"⫏≰10200011≦↸⫏≰21202222=⫏≰-210222000","layer":3},{"info":"⫏≰21220020≭⫏≰2211110=NaN","layer":3},{"info":"⫏≰-210222000*NaN=NaN","layer":2},{"info":"⫏≰22201200⨚NaN=NaN","layer":1},{"info":"⫏≰20101121⊭↱⫏≰12202000=⫏≰-1022000","layer":3},{"info":"⫏≰2002212⫚↹⊑⫏≰12001002=⫏≰-121120","layer":3},{"info":"⫏≰-1022000≁↽≥⫏≰-121120=⫏≰21021","layer":2},{"info":"⫏≰21020200⋣⋖⫏≰2021100=⫏≰21020200","layer":3},{"info":"⇁⨣⪵⫏≰2000202=NaN","layer":3},{"info":"⫏≰21020200⨎NaN=NaN","layer":2},{"info":"⫏≰21021∥⊢⊲NaN=NaN","layer":1},{"info":"NaN⫳≱↱NaN=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"(∥⊫$4111$⪡$1847$)∪⫐($4950$≠≀$7186$)⪢($1252$≧⫂∧$3573$)↪⪝","expression":"(∥⊫⫏≰12122021⪡⫏≰2112102)∪⫐(⫏≰20210100≠≀⫏≰100212011)⪢(⫏≰1201101≧⫂∧⫏≰11220100)↪⪝","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4016,"operation_count":7,"complexity_ratio":573.7142857142857,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4111,"base":3},"right_expr":{"type":"numeric_atoms","value":1847,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4950,"base":3},"right_expr":{"type":"numeric_atoms","value":7186,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1252,"base":3},"right_expr":{"type":"numeric_atoms","value":3573,"base":3}}}}},"used_operators":["l07mrZUIn9","7YooWSwCyH","P8v4zCKN1o","oraRL2iQuh","dWAJyo7jo9","IwW236VD4Y","Ph9nP6C5qx"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","k8jYdgA6NY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰11011020122210000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4111","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=4111, right_input=1847, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=975","layer":2},{"info":"number node, value=4950","layer":4},{"info":"number node, value=7186","layer":4},{"info":"compute binary expreesion, left_input=4950, right_input=7186, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9594","layer":3},{"info":"number node, value=1252","layer":4},{"info":"number node, value=3573","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=3573, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3100","layer":3},{"info":"compute binary expreesion, left_input=-9594, right_input=3100, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=975, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=975","layer":1},{"info":"compute unary expreesion, input=975, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=59652450","layer":0}],"base":3,"result_base":3,"text":"(∥⊫⫏≰12122021⪡⫏≰2112102)∪⫐(⫏≰20210100≠≀⫏≰100212011)⪢(⫏≰1201101≧⫂∧⫏≰11220100)↪⪝=⫏≰11011020122210000","reverse_text":"⫏≰11011020122210000=(∥⊫⫏≰12122021⪡⫏≰2112102)∪⫐(⫏≰20210100≠≀⫏≰100212011)⪢(⫏≰1201101≧⫂∧⫏≰11220100)↪⪝","cot":[{"info":"⫏≰12122021⪡⫏≰2112102=⫏≰10222","layer":3},{"info":"∥⊫⫏≰10222=⫏≰1100010","layer":2},{"info":"⫏≰20210100≠≀⫏≰100212011=⫏≰-111011100","layer":3},{"info":"⫏≰1201101≧⫂∧⫏≰11220100=⫏≰11020211","layer":3},{"info":"⫏≰-111011100⪢⫏≰11020211=NaN","layer":2},{"info":"⫏≰1100010∪⫐NaN=⫏≰1100010","layer":1},{"info":"⫏≰1100010↪⪝=⫏≰11011020122210000","layer":0}]}
{"id":767,"expression_no_base_symbol":"(⊗(($1027$∷$3860$)≠≀($4277$↙$6664$)))↤⩊(((⊄⩳↩$1946$)⪮%⊝($1098$⋥≓≎$3972$))⪗)","expression":"(⊗((⫏≰1102001∷⫏≰12021222)≠≀(⫏≰12212102↙⫏≰100010211)))↤⩊(((⊄⩳↩⫏≰2200002)⪮%⊝(⫏≰1111200⋥≓≎⫏≰12110010))⪗)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18249,"operation_count":9,"complexity_ratio":2027.6666666666667,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1027,"base":3},"right_expr":{"type":"numeric_atoms","value":3860,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4277,"base":3},"right_expr":{"type":"numeric_atoms","value":6664,"base":3}}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1946,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1098,"base":3},"right_expr":{"type":"numeric_atoms","value":3972,"base":3}}}}},"used_operators":["13rbtpv6ld","RhiyfpczSx","IwW236VD4Y","D3AQDKkPcf","yyfyN0ffXY","VEQNXA0ZBg","IWmyXbctLI","8w2t5hMYqp","Qy55tPpLXF"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=3860, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3860","layer":3},{"info":"number node, value=4277","layer":4},{"info":"number node, value=6664","layer":4},{"info":"compute binary expreesion, left_input=4277, right_input=6664, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19992","layer":3},{"info":"compute binary expreesion, left_input=3860, right_input=-19992, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=16011","layer":2},{"info":"compute unary expreesion, input=16011, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-32022","layer":1},{"info":"number node, value=1946","layer":4},{"info":"compute unary expreesion, input=1946, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5838","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=3972, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6879","layer":3},{"info":"compute binary expreesion, left_input=-5838, right_input=6879, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-11360","layer":2},{"info":"compute unary expreesion, input=-11360, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-32022, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊗((⫏≰1102001∷⫏≰12021222)≠≀(⫏≰12212102↙⫏≰100010211)))↤⩊(((⊄⩳↩⫏≰2200002)⪮%⊝(⫏≰1111200⋥≓≎⫏≰12110010))⪗)=NaN","reverse_text":"NaN=(⊗((⫏≰1102001∷⫏≰12021222)≠≀(⫏≰12212102↙⫏≰100010211)))↤⩊(((⊄⩳↩⫏≰2200002)⪮%⊝(⫏≰1111200⋥≓≎⫏≰12110010))⪗)","cot":[{"info":"⫏≰1102001∷⫏≰12021222=⫏≰12021222","layer":3},{"info":"⫏≰12212102↙⫏≰100010211=⫏≰-1000102110","layer":3},{"info":"⫏≰12021222≠≀⫏≰-1000102110=⫏≰210222000","layer":2},{"info":"⊗⫏≰210222000=⫏≰-1121221000","layer":1},{"info":"⊄⩳↩⫏≰2200002=⫏≰-22000020","layer":3},{"info":"⫏≰1111200⋥≓≎⫏≰12110010=⫏≰100102210","layer":3},{"info":"⫏≰-22000020⪮%⊝⫏≰100102210=⫏≰-120120202","layer":2},{"info":"⫏≰-120120202⪗=NaN","layer":1},{"info":"⫏≰-1121221000↤⩊NaN=NaN","layer":0}]}
{"id":768,"expression_no_base_symbol":"(($2220$∲⫓$4790$)⩇∃⫛($2197$⊀⩕)*($3757$+⇶⊼$4362$)⫗⊷⫓($1620$≳⇉$1434$))⪃⊛⇣(($2612$↙$1018$⊾⪯⋞($1663$⪘⨀))⇌⫙⪟($5229$⫸⊐$1592$)≨($2714$∪⫐$1871$))","expression":"((⫏≰10001020∲⫓⫏≰20120102)⩇∃⫛(⫏≰10000101⊀⩕)*(⫏≰12011011+⇶⊼⫏≰12222120)⫗⊷⫓(⫏≰2020000≳⇉⫏≰1222010))⪃⊛⇣((⫏≰10120202↙⫏≰1101201⊾⪯⋞(⫏≰2021121⪘⨀))⇌⫙⪟(⫏≰21011200⫸⊐⫏≰2011222)≨(⫏≰10201112∪⫐⫏≰2120022))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":36948146,"operation_count":15,"complexity_ratio":2463209.7333333334,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2220,"base":3},"right_expr":{"type":"numeric_atoms","value":4790,"base":3}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":2197,"base":3}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3757,"base":3},"right_expr":{"type":"numeric_atoms","value":4362,"base":3}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1620,"base":3},"right_expr":{"type":"numeric_atoms","value":1434,"base":3}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2612,"base":3},"right_expr":{"type":"numeric_atoms","value":1018,"base":3}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1663,"base":3}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5229,"base":3},"right_expr":{"type":"numeric_atoms","value":1592,"base":3}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2714,"base":3},"right_expr":{"type":"numeric_atoms","value":1871,"base":3}}}}},"used_operators":["rrgAzCduG9","9HNa5Wba9A","1aApVXNlOP","i8ToyICDmI","r0FS3hW4cC","zashukvMKz","TpPTUOHfaN","V0kx6qeWkN","AFVx7xoS7T","HK0tfVPux8","yyfyN0ffXY","aA7tF3KVD3","0KMCeP1Jsh","mqXw5SEYmG","7YooWSwCyH"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","nhYeJWJD5X","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","AHs5Up7iyr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tmPS8pqC7x","DpFCA1CohY","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2220","layer":4},{"info":"number node, value=4790","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=4790, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2197","layer":4},{"info":"compute unary expreesion, input=2197, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, 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=473","layer":2},{"info":"number node, value=3757","layer":4},{"info":"number node, value=4362","layer":4},{"info":"compute binary expreesion, left_input=3757, right_input=4362, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1620","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=1434, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, 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":2},{"info":"compute binary expreesion, left_input=473, right_input=-134, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-63382","layer":1},{"info":"number node, value=2612","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=1018, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3054","layer":3},{"info":"number node, value=1663","layer":4},{"info":"compute unary expreesion, input=1663, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-3907","layer":3},{"info":"compute binary expreesion, left_input=-3054, right_input=-3907, 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":2},{"info":"number node, value=5229","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=5229, right_input=1592, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6243","layer":3},{"info":"number node, value=2714","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=2714, right_input=1871, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2714","layer":3},{"info":"compute binary expreesion, left_input=6243, right_input=2714, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-59954","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=-59954, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=301446","layer":1},{"info":"compute binary expreesion, left_input=-63382, right_input=301446, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10001020∲⫓⫏≰20120102)⩇∃⫛(⫏≰10000101⊀⩕)*(⫏≰12011011+⇶⊼⫏≰12222120)⫗⊷⫓(⫏≰2020000≳⇉⫏≰1222010))⪃⊛⇣((⫏≰10120202↙⫏≰1101201⊾⪯⋞(⫏≰2021121⪘⨀))⇌⫙⪟(⫏≰21011200⫸⊐⫏≰2011222)≨(⫏≰10201112∪⫐⫏≰2120022))=⫏≰1200201","reverse_text":"⫏≰1200201=((⫏≰10001020∲⫓⫏≰20120102)⩇∃⫛(⫏≰10000101⊀⩕)*(⫏≰12011011+⇶⊼⫏≰12222120)⫗⊷⫓(⫏≰2020000≳⇉⫏≰1222010))⪃⊛⇣((⫏≰10120202↙⫏≰1101201⊾⪯⋞(⫏≰2021121⪘⨀))⇌⫙⪟(⫏≰21011200⫸⊐⫏≰2011222)≨(⫏≰10201112∪⫐⫏≰2120022))","cot":[{"info":"⫏≰10001020∲⫓⫏≰20120102=⫏≰0","layer":3},{"info":"⫏≰10000101⊀⩕=⫏≰0","layer":3},{"info":"⫏≰0⩇∃⫛⫏≰0=⫏≰122112","layer":2},{"info":"⫏≰12011011+⇶⊼⫏≰12222120=NaN","layer":3},{"info":"⫏≰2020000≳⇉⫏≰1222010=NaN","layer":3},{"info":"NaN⫗⊷⫓NaN=⫏≰-11222","layer":2},{"info":"⫏≰122112*⫏≰-11222=⫏≰-10012221111","layer":1},{"info":"⫏≰10120202↙⫏≰1101201=⫏≰-11012010","layer":3},{"info":"⫏≰2021121⪘⨀=⫏≰-12100201","layer":3},{"info":"⫏≰-11012010⊾⪯⋞⫏≰-12100201=⫏≰-1010101","layer":2},{"info":"⫏≰21011200⫸⊐⫏≰2011222=⫏≰22120020","layer":3},{"info":"⫏≰10201112∪⫐⫏≰2120022=⫏≰10201112","layer":3},{"info":"⫏≰22120020≨⫏≰10201112=⫏≰-10001020112","layer":2},{"info":"⫏≰-1010101⇌⫙⪟⫏≰-10001020112=⫏≰120022111200","layer":1},{"info":"⫏≰-10012221111⪃⊛⇣⫏≰120022111200=⫏≰1200201","layer":0}]}
{"id":769,"expression_no_base_symbol":"((($4607$+$4541$)⊔$1977$∼$3683$)⇚⪠)-$1127$≌$4862$→⨶⪴($3741$⪔$5444$)⋾⨃∁(∮$4222$)⋕⪉⪜$2303$≌$2120$","expression":"(((⫏≰20022122+⫏≰20020012)⊔⫏≰2201020∼⫏≰12001102)⇚⪠)-⫏≰1112202≌⫏≰20200002→⨶⪴(⫏≰12010120⪔⫏≰21110122)⋾⨃∁(∮⫏≰12210101)⋕⪉⪜⫏≰10011022≌⫏≰2220112","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13228,"operation_count":12,"complexity_ratio":1102.3333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4607,"base":3},"right_expr":{"type":"numeric_atoms","value":4541,"base":3}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1977,"base":3},"right_expr":{"type":"numeric_atoms","value":3683,"base":3}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1127,"base":3},"right_expr":{"type":"numeric_atoms","value":4862,"base":3}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3741,"base":3},"right_expr":{"type":"numeric_atoms","value":5444,"base":3}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":4222,"base":3}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2303,"base":3},"right_expr":{"type":"numeric_atoms","value":2120,"base":3}}}}},"used_operators":["rysDP5nf3Z","Loh9y4A90B","E4l6HwMY31","W4YGzv6Whe","DyGG3AbaNP","212REbPD9h","bF6eod5Gvf","lyWz822IDG","GjBEYRfMaF","z6LnFrNh4i","CqXKPLVYql"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","8w2t5hMYqp","9FxExcQeMw","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4607","layer":4},{"info":"number node, value=4541","layer":4},{"info":"compute binary expreesion, left_input=4607, right_input=4541, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9148","layer":3},{"info":"number node, value=1977","layer":4},{"info":"number node, value=3683","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=3683, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9148, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=nan","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=4862","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=4862, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=3741","layer":4},{"info":"number node, value=5444","layer":4},{"info":"compute binary expreesion, left_input=3741, right_input=5444, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-1350","layer":2},{"info":"number node, value=4222","layer":4},{"info":"compute unary expreesion, input=4222, 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":3},{"info":"number node, value=2303","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=2120, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=-1350, right_input=204, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰20022122+⫏≰20020012)⊔⫏≰2201020∼⫏≰12001102)⇚⪠)-⫏≰1112202≌⫏≰20200002→⨶⪴(⫏≰12010120⪔⫏≰21110122)⋾⨃∁(∮⫏≰12210101)⋕⪉⪜⫏≰10011022≌⫏≰2220112=NaN","reverse_text":"NaN=(((⫏≰20022122+⫏≰20020012)⊔⫏≰2201020∼⫏≰12001102)⇚⪠)-⫏≰1112202≌⫏≰20200002→⨶⪴(⫏≰12010120⪔⫏≰21110122)⋾⨃∁(∮⫏≰12210101)⋕⪉⪜⫏≰10011022≌⫏≰2220112","cot":[{"info":"⫏≰20022122+⫏≰20020012=⫏≰110112211","layer":3},{"info":"⫏≰2201020∼⫏≰12001102=NaN","layer":3},{"info":"⫏≰110112211⊔NaN=NaN","layer":2},{"info":"NaN⇚⪠=NaN","layer":1},{"info":"⫏≰1112202≌⫏≰20200002=NaN","layer":3},{"info":"⫏≰12010120⪔⫏≰21110122=⫏≰121200","layer":3},{"info":"NaN→⨶⪴⫏≰121200=⫏≰-1212000","layer":2},{"info":"∮⫏≰12210101=⫏≰2111","layer":3},{"info":"⫏≰10011022≌⫏≰2220112=NaN","layer":3},{"info":"⫏≰2111⋕⪉⪜NaN=⫏≰21120","layer":2},{"info":"⫏≰-1212000⋾⨃∁⫏≰21120=⫏≰12221","layer":1},{"info":"NaN-⫏≰12221=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"(↴⪽⋼$3821$⇻⋧≁$2219$+⇶⊼(∑⇻≧$1637$))∲⫓($7310$↳∿⪆$8471$)⨐($1052$⫢⨠$2206$)⩼⇪↪(≘($8297$⊉≛↸$7059$))","expression":"(↴⪽⋼⫏≰12020112⇻⋧≁⫏≰10001012+⇶⊼(∑⇻≧⫏≰2020122))∲⫓(⫏≰101000202↳∿⪆⫏≰102121202)⨐(⫏≰1102222⫢⨠⫏≰10000201)⩼⇪↪(≘(⫏≰102101022⊉≛↸⫏≰100200110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6793,"operation_count":11,"complexity_ratio":617.5454545454545,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3821,"base":3},"right_expr":{"type":"numeric_atoms","value":2219,"base":3}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1637,"base":3}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":7310,"base":3},"right_expr":{"type":"numeric_atoms","value":8471,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1052,"base":3},"right_expr":{"type":"numeric_atoms","value":2206,"base":3}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8297,"base":3},"right_expr":{"type":"numeric_atoms","value":7059,"base":3}}}}},"used_operators":["i8ToyICDmI","5TUYCnJO6w","TpPTUOHfaN","jCPkEVoL5K","l1M9WJ3V7u","ocnLzx9CaJ","Noe24qw2ks","Cw4SuJJGHO","xlXykHWxX1","tcjXMdvYtA","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","AHs5Up7iyr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3821","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=2219, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1637","layer":4},{"info":"compute unary expreesion, input=1637, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-852, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":1},{"info":"number node, value=7310","layer":4},{"info":"number node, value=8471","layer":4},{"info":"compute binary expreesion, left_input=7310, right_input=8471, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=2206, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"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":2},{"info":"number node, value=8297","layer":4},{"info":"number node, value=7059","layer":4},{"info":"compute binary expreesion, left_input=8297, right_input=7059, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16594","layer":3},{"info":"compute unary expreesion, input=16594, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=36590554","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=36590554, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↴⪽⋼⫏≰12020112⇻⋧≁⫏≰10001012+⇶⊼(∑⇻≧⫏≰2020122))∲⫓(⫏≰101000202↳∿⪆⫏≰102121202)⨐(⫏≰1102222⫢⨠⫏≰10000201)⩼⇪↪(≘(⫏≰102101022⊉≛↸⫏≰100200110))=NaN","reverse_text":"NaN=(↴⪽⋼⫏≰12020112⇻⋧≁⫏≰10001012+⇶⊼(∑⇻≧⫏≰2020122))∲⫓(⫏≰101000202↳∿⪆⫏≰102121202)⨐(⫏≰1102222⫢⨠⫏≰10000201)⩼⇪↪(≘(⫏≰102101022⊉≛↸⫏≰100200110))","cot":[{"info":"⫏≰12020112⇻⋧≁⫏≰10001012=⫏≰-121120","layer":3},{"info":"∑⇻≧⫏≰2020122=⫏≰-1011120","layer":3},{"info":"⫏≰-121120+⇶⊼⫏≰-1011120=NaN","layer":2},{"info":"↴⪽⋼NaN=NaN","layer":1},{"info":"⫏≰101000202↳∿⪆⫏≰102121202=NaN","layer":3},{"info":"⫏≰1102222⫢⨠⫏≰10000201=⫏≰12221","layer":3},{"info":"NaN⨐⫏≰12221=NaN","layer":2},{"info":"⫏≰102101022⊉≛↸⫏≰100200110=⫏≰211202121","layer":3},{"info":"≘⫏≰211202121=⫏≰2112211222210201","layer":2},{"info":"NaN⩼⇪↪⫏≰2112211222210201=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"⫖→(($1048$⩨$4439$)⪝($8450$↬$2094$)↱((⩰$2137$)⫡⨏$7132$⩘$3527$))","expression":"⫖→((⫏≰1102211⩨⫏≰20002102)⪝(⫏≰102120222↬⫏≰2212120)↱((⩰⫏≰2221011)⫡⨏⫏≰100210011⩘⫏≰11211122))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":102119,"operation_count":8,"complexity_ratio":12764.875,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1048,"base":3},"right_expr":{"type":"numeric_atoms","value":4439,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8450,"base":3},"right_expr":{"type":"numeric_atoms","value":2094,"base":3}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2137,"base":3}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7132,"base":3},"right_expr":{"type":"numeric_atoms","value":3527,"base":3}}}}},"used_operators":["U4ylXWHChL","SR5kFfdi6N","wicAB68Tmb","2DlMacCsIx","B5M0gjZbta","QMFrweE19q","WkeUrDK8WX","cHh1gJQ2o6"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1048","layer":4},{"info":"number node, value=4439","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=4439, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=8450","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=8450, right_input=2094, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=2137","layer":4},{"info":"compute unary expreesion, input=2137, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3137","layer":3},{"info":"number node, value=7132","layer":4},{"info":"number node, value=3527","layer":4},{"info":"compute binary expreesion, left_input=7132, right_input=3527, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-3137, 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=-14582","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14582, 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=-101344","layer":1},{"info":"compute unary expreesion, input=-101344, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":3,"result_base":3,"text":"⫖→((⫏≰1102211⩨⫏≰20002102)⪝(⫏≰102120222↬⫏≰2212120)↱((⩰⫏≰2221011)⫡⨏⫏≰100210011⩘⫏≰11211122))=⫏≰20120","reverse_text":"⫏≰20120=⫖→((⫏≰1102211⩨⫏≰20002102)⪝(⫏≰102120222↬⫏≰2212120)↱((⩰⫏≰2221011)⫡⨏⫏≰100210011⩘⫏≰11211122))","cot":[{"info":"⫏≰1102211⩨⫏≰20002102=⫏≰-110","layer":3},{"info":"⫏≰102120222↬⫏≰2212120=NaN","layer":3},{"info":"⫏≰-110⪝NaN=NaN","layer":2},{"info":"⩰⫏≰2221011=⫏≰-11022012","layer":3},{"info":"⫏≰100210011⩘⫏≰11211122=⫏≰12221","layer":3},{"info":"⫏≰-11022012⫡⨏⫏≰12221=⫏≰-202000002","layer":2},{"info":"NaN↱⫏≰-202000002=⫏≰-12011000111","layer":1},{"info":"⫖→⫏≰-12011000111=⫏≰20120","layer":0}]}
{"id":772,"expression_no_base_symbol":"⨣⨃⇪($3152$∼$2314$⊨(⩦⩻⨪$2337$)⫰⋱($4437$⊋≦⊧$2953$)↤⩊(⫟$4054$))","expression":"⨣⨃⇪(⫏≰11022202∼⫏≰10011201⊨(⩦⩻⨪⫏≰10012120)⫰⋱(⫏≰20002100⊋≦⊧⫏≰11001101)↤⩊(⫟⫏≰12120011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":327,"operation_count":8,"complexity_ratio":40.875,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3152,"base":3},"right_expr":{"type":"numeric_atoms","value":2314,"base":3}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2337,"base":3}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4437,"base":3},"right_expr":{"type":"numeric_atoms","value":2953,"base":3}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":4054,"base":3}}}}},"used_operators":["AcOhelriW5","6o9Blt3TJ6","vg4gO5BX6G","DyGG3AbaNP","2td37pGCOC","13rbtpv6ld","oRDoc9rAEX","z4E1FaHLuy"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"⫏≰1221001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3152","layer":4},{"info":"number node, value=2314","layer":4},{"info":"compute binary expreesion, left_input=3152, right_input=2314, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2337","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2337, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"number node, value=4437","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=4437, right_input=2953, 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=-5666","layer":3},{"info":"number node, value=4054","layer":4},{"info":"compute unary expreesion, input=4054, 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=-11255","layer":3},{"info":"compute binary expreesion, left_input=-5666, right_input=-11255, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', 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":3,"result_base":3,"text":"⨣⨃⇪(⫏≰11022202∼⫏≰10011201⊨(⩦⩻⨪⫏≰10012120)⫰⋱(⫏≰20002100⊋≦⊧⫏≰11001101)↤⩊(⫟⫏≰12120011))=⫏≰1221001","reverse_text":"⫏≰1221001=⨣⨃⇪(⫏≰11022202∼⫏≰10011201⊨(⩦⩻⨪⫏≰10012120)⫰⋱(⫏≰20002100⊋≦⊧⫏≰11001101)↤⩊(⫟⫏≰12120011))","cot":[{"info":"⫏≰11022202∼⫏≰10011201=NaN","layer":3},{"info":"⩦⩻⨪⫏≰10012120=⫏≰10012120","layer":3},{"info":"NaN⊨⫏≰10012120=NaN","layer":2},{"info":"⫏≰20002100⊋≦⊧⫏≰11001101=⫏≰-21202212","layer":3},{"info":"⫟⫏≰12120011=⫏≰-120102212","layer":3},{"info":"⫏≰-21202212↤⩊⫏≰-120102212=NaN","layer":2},{"info":"NaN⫰⋱NaN=NaN","layer":1},{"info":"⨣⨃⇪NaN=⫏≰1221001","layer":0}]}
{"id":773,"expression_no_base_symbol":"(↩⪖(∤$1926$))⫲≸⪮($1043$⊔$1841$⋳⪒($3410$∙∹∝$8042$))⩨($1217$⊴$4392$⇷($1708$⇯⋐)∈)","expression":"(↩⪖(∤⫏≰2122100))⫲≸⪮(⫏≰1102122⊔⫏≰2112012⋳⪒(⫏≰11200022∙∹∝⫏≰102000212))⩨(⫏≰1200002⊴⫏≰20000200⇷(⫏≰2100021⇯⋐)∈)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7533,"operation_count":11,"complexity_ratio":684.8181818181819,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1926,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1043,"base":3},"right_expr":{"type":"numeric_atoms","value":1841,"base":3}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3410,"base":3},"right_expr":{"type":"numeric_atoms","value":8042,"base":3}}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1217,"base":3},"right_expr":{"type":"numeric_atoms","value":4392,"base":3}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1708,"base":3}}}}},"used_operators":["2DlMacCsIx","P3lXMJvFrc","fG6uBQFnGz","k2HlF1dBQh","12rbrZMWeM","E4l6HwMY31","HmxsFra2vL","ztP7wcbY7m","mp7IySMOzn","Nsiff2A1zJ","LkLIoiE525"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"⫏≰1100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1926","layer":4},{"info":"compute unary expreesion, input=1926, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-3018","layer":2},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1841, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=8891","layer":3},{"info":"number node, value=3410","layer":4},{"info":"number node, value=8042","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=8042, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8891, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=17495","layer":2},{"info":"compute binary expreesion, left_input=-3018, right_input=17495, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-3018","layer":1},{"info":"number node, value=1217","layer":4},{"info":"number node, value=4392","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=4392, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1708","layer":4},{"info":"compute unary expreesion, input=1708, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6002","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6002, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12004","layer":2},{"info":"compute unary expreesion, input=12004, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=35341","layer":1},{"info":"compute binary expreesion, left_input=-3018, right_input=35341, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=36","layer":0}],"base":3,"result_base":3,"text":"(↩⪖(∤⫏≰2122100))⫲≸⪮(⫏≰1102122⊔⫏≰2112012⋳⪒(⫏≰11200022∙∹∝⫏≰102000212))⩨(⫏≰1200002⊴⫏≰20000200⇷(⫏≰2100021⇯⋐)∈)=⫏≰1100","reverse_text":"⫏≰1100=(↩⪖(∤⫏≰2122100))⫲≸⪮(⫏≰1102122⊔⫏≰2112012⋳⪒(⫏≰11200022∙∹∝⫏≰102000212))⩨(⫏≰1200002⊴⫏≰20000200⇷(⫏≰2100021⇯⋐)∈)","cot":[{"info":"∤⫏≰2122100=⫏≰100","layer":3},{"info":"↩⪖⫏≰100=⫏≰-11010210","layer":2},{"info":"⫏≰1102122⊔⫏≰2112012=⫏≰110012022","layer":3},{"info":"⫏≰11200022∙∹∝⫏≰102000212=⫏≰0","layer":3},{"info":"⫏≰110012022⋳⪒⫏≰0=⫏≰212222222","layer":2},{"info":"⫏≰-11010210⫲≸⪮⫏≰212222222=⫏≰-11010210","layer":1},{"info":"⫏≰1200002⊴⫏≰20000200=NaN","layer":3},{"info":"⫏≰2100021⇯⋐=⫏≰22020022","layer":3},{"info":"NaN⇷⫏≰22020022=⫏≰121110121","layer":2},{"info":"⫏≰121110121∈=⫏≰1210110221","layer":1},{"info":"⫏≰-11010210⩨⫏≰1210110221=⫏≰1100","layer":0}]}
{"id":774,"expression_no_base_symbol":"($1033$⫍⨯↯)⇼⇔∾$4307$⫣⪄⊒$2245$⩹(⩦⊞$6733$)⋥⋵⩄($2190$⋛$3265$)⨵⪆$3645$⨑⩅≇$6733$⋻⩜⩜$6716$↳≱$5407$%(⊖∈$6623$⨰$1343$)","expression":"(⫏≰1102021⫍⨯↯)⇼⇔∾⫏≰12220112⫣⪄⊒⫏≰10002011⩹(⩦⊞⫏≰100020101)⋥⋵⩄(⫏≰10000010⋛⫏≰11110221)⨵⪆⫏≰12000000⨑⩅≇⫏≰100020101⋻⩜⩜⫏≰100012202↳≱⫏≰21102021%(⊖∈⫏≰100002022⨰⫏≰1211202)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7297,"operation_count":14,"complexity_ratio":521.2142857142857,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1033,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4307,"base":3},"right_expr":{"type":"numeric_atoms","value":2245,"base":3}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":6733,"base":3}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2190,"base":3},"right_expr":{"type":"numeric_atoms","value":3265,"base":3}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3645,"base":3},"right_expr":{"type":"numeric_atoms","value":6733,"base":3}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6716,"base":3},"right_expr":{"type":"numeric_atoms","value":5407,"base":3}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6623,"base":3},"right_expr":{"type":"numeric_atoms","value":1343,"base":3}}}}},"used_operators":["2DQ55sFlQl","2Wsdkap16l","tifHPKVTfV","ZcwmYACASQ","RabNbG55vr","7t3wd0Fuz7","u7fv1HBiaC","YbUVn0Rbpy","k8jYdgA6NY","oDCm7WA9JY","h92wMvzauj","JwTKLfZU96","YFxL8Sc2Zy","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1000","layer":3},{"info":"number node, value=4307","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=4307, right_input=2245, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5368","layer":3},{"info":"compute binary expreesion, left_input=1000, right_input=-5368, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6368","layer":2},{"info":"number node, value=6733","layer":4},{"info":"compute unary expreesion, input=6733, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6460","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=3265, 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=-112482","layer":3},{"info":"compute binary expreesion, left_input=-6460, right_input=-112482, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=1136196","layer":2},{"info":"compute binary expreesion, left_input=-6368, right_input=1136196, 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=1136194","layer":1},{"info":"number node, value=3645","layer":4},{"info":"number node, value=6733","layer":4},{"info":"compute binary expreesion, left_input=3645, right_input=6733, 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=-10935","layer":3},{"info":"number node, value=6716","layer":4},{"info":"number node, value=5407","layer":4},{"info":"compute binary expreesion, left_input=6716, right_input=5407, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10935, right_input=0, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=0","layer":2},{"info":"number node, value=6623","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=6623, right_input=1343, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5290","layer":3},{"info":"compute unary expreesion, input=5290, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=100206","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=100206, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=1136194, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1102021⫍⨯↯)⇼⇔∾⫏≰12220112⫣⪄⊒⫏≰10002011⩹(⩦⊞⫏≰100020101)⋥⋵⩄(⫏≰10000010⋛⫏≰11110221)⨵⪆⫏≰12000000⨑⩅≇⫏≰100020101⋻⩜⩜⫏≰100012202↳≱⫏≰21102021%(⊖∈⫏≰100002022⨰⫏≰1211202)=⫏≰12221","reverse_text":"⫏≰12221=(⫏≰1102021⫍⨯↯)⇼⇔∾⫏≰12220112⫣⪄⊒⫏≰10002011⩹(⩦⊞⫏≰100020101)⋥⋵⩄(⫏≰10000010⋛⫏≰11110221)⨵⪆⫏≰12000000⨑⩅≇⫏≰100020101⋻⩜⩜⫏≰100012202↳≱⫏≰21102021%(⊖∈⫏≰100002022⨰⫏≰1211202)","cot":[{"info":"⫏≰1102021⫍⨯↯=⫏≰1101001","layer":3},{"info":"⫏≰12220112⫣⪄⊒⫏≰10002011=⫏≰-21100211","layer":3},{"info":"⫏≰1101001⇼⇔∾⫏≰-21100211=⫏≰-22201212","layer":2},{"info":"⩦⊞⫏≰100020101=⫏≰-22212021","layer":3},{"info":"⫏≰10000010⋛⫏≰11110221=⫏≰-12201022000","layer":3},{"info":"⫏≰-22212021⋥⋵⩄⫏≰-12201022000=⫏≰2010201120100","layer":2},{"info":"⫏≰-22201212⩹⫏≰2010201120100=⫏≰2010201120021","layer":1},{"info":"⫏≰12000000⨑⩅≇⫏≰100020101=⫏≰-120000000","layer":3},{"info":"⫏≰100012202↳≱⫏≰21102021=⫏≰0","layer":3},{"info":"⫏≰-120000000⋻⩜⩜⫏≰0=⫏≰0","layer":2},{"info":"⫏≰100002022⨰⫏≰1211202=⫏≰21020221","layer":3},{"info":"⊖∈⫏≰21020221=⫏≰12002110100","layer":2},{"info":"⫏≰0%⫏≰12002110100=⫏≰0","layer":1},{"info":"⫏≰2010201120021⨵⪆⫏≰0=⫏≰12221","layer":0}]}
{"id":775,"expression_no_base_symbol":"∂⩏⊆((≯($4707$⪶≀⋏$2542$))⫚↹⊑($2749$↸$1734$)⊮⊟↴($1893$⪨≂$1892$))","expression":"∂⩏⊆((≯(⫏≰20110100⪶≀⋏⫏≰10111011))⫚↹⊑(⫏≰10202211↸⫏≰2101020)⊮⊟↴(⫏≰2121010⪨≂⫏≰2121002))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1821,"operation_count":7,"complexity_ratio":260.14285714285717,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4707,"base":3},"right_expr":{"type":"numeric_atoms","value":2542,"base":3}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2749,"base":3},"right_expr":{"type":"numeric_atoms","value":1734,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1893,"base":3},"right_expr":{"type":"numeric_atoms","value":1892,"base":3}}}}},"used_operators":["8WDwsbhb0R","dfKe02y8D2","keWfFq85dY","zR4jO40bMj","QDVgd2eftb","1eCjFl0mb9","sdazOOVcIp"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","g55IO6H4Gj","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1021111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4707","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=4707, right_input=2542, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19437","layer":3},{"info":"compute unary expreesion, input=-19437, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=2749","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=1734, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2749","layer":3},{"info":"number node, value=1893","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=1892, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=104","layer":3},{"info":"compute binary expreesion, left_input=2749, right_input=104, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=931","layer":0}],"base":3,"result_base":3,"text":"∂⩏⊆((≯(⫏≰20110100⪶≀⋏⫏≰10111011))⫚↹⊑(⫏≰10202211↸⫏≰2101020)⊮⊟↴(⫏≰2121010⪨≂⫏≰2121002))=⫏≰1021111","reverse_text":"⫏≰1021111=∂⩏⊆((≯(⫏≰20110100⪶≀⋏⫏≰10111011))⫚↹⊑(⫏≰10202211↸⫏≰2101020)⊮⊟↴(⫏≰2121010⪨≂⫏≰2121002))","cot":[{"info":"⫏≰20110100⪶≀⋏⫏≰10111011=⫏≰-222122220","layer":3},{"info":"≯⫏≰-222122220=⫏≰0","layer":2},{"info":"⫏≰10202211↸⫏≰2101020=⫏≰10202211","layer":3},{"info":"⫏≰2121010⪨≂⫏≰2121002=⫏≰10212","layer":3},{"info":"⫏≰10202211⊮⊟↴⫏≰10212=⫏≰0","layer":2},{"info":"⫏≰0⫚↹⊑⫏≰0=⫏≰-121120","layer":1},{"info":"∂⩏⊆⫏≰-121120=⫏≰1021111","layer":0}]}
{"id":776,"expression_no_base_symbol":"($1100$⇤$3212$∓⋝($3106$%$7255$)⊲⩕⊾$2633$⨂≜$1653$≦↸($2719$⨉))⩖⊿(($4140$↪⪝)⩣⫁∢$4888$⪝$1011$↬($5902$≁↽≥$1930$⪕($2679$≃$4365$)))","expression":"(⫏≰1111202⇤⫏≰11101222∓⋝(⫏≰11021001%⫏≰100221201)⊲⩕⊾⫏≰10121112⨂≜⫏≰2021020≦↸(⫏≰10201201⨉))⩖⊿((⫏≰12200100↪⪝)⩣⫁∢⫏≰20201001⪝⫏≰1101110↬(⫏≰22002121≁↽≥⫏≰2122111⪕(⫏≰10200020≃⫏≰12222200)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6721,"operation_count":15,"complexity_ratio":448.06666666666666,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1100,"base":3},"right_expr":{"type":"numeric_atoms","value":3212,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3106,"base":3},"right_expr":{"type":"numeric_atoms","value":7255,"base":3}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2633,"base":3},"right_expr":{"type":"numeric_atoms","value":1653,"base":3}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":2719,"base":3}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4140,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4888,"base":3},"right_expr":{"type":"numeric_atoms","value":1011,"base":3}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5902,"base":3},"right_expr":{"type":"numeric_atoms","value":1930,"base":3}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2679,"base":3},"right_expr":{"type":"numeric_atoms","value":4365,"base":3}}}}},"used_operators":["RZ5CV9rWsJ","DmTXOeWf9t","PoHhknlbAi","YSKBFp38Pu","k8jYdgA6NY","RygbFNSyEJ","k1SHOSEABc","aMUSaJuDRU","B5M0gjZbta","JDUIKTTSIa","l07mrZUIn9","wicAB68Tmb","umQnsF7QlU","ncHt1X6cMc","YbVcJGFEVW"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","rGHVDoGpnC","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9HNa5Wba9A","2DDjHMKMc0","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=3212, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-18712","layer":3},{"info":"number node, value=3106","layer":4},{"info":"number node, value=7255","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=7255, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3106","layer":3},{"info":"compute binary expreesion, left_input=-18712, right_input=3106, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=2633","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=1653, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2719","layer":4},{"info":"compute unary expreesion, input=2719, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=7766","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7766, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=4140","layer":4},{"info":"compute unary expreesion, input=4140, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=253293480","layer":3},{"info":"number node, value=4888","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=4888, right_input=1011, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-15907","layer":3},{"info":"compute binary expreesion, left_input=253293480, right_input=-15907, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-506586799","layer":2},{"info":"number node, value=5902","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=5902, right_input=1930, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=82710","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=4365","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=4365, 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=-10756","layer":3},{"info":"compute binary expreesion, left_input=82710, right_input=-10756, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute binary expreesion, left_input=-506586799, right_input=935, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1111202⇤⫏≰11101222∓⋝(⫏≰11021001%⫏≰100221201)⊲⩕⊾⫏≰10121112⨂≜⫏≰2021020≦↸(⫏≰10201201⨉))⩖⊿((⫏≰12200100↪⪝)⩣⫁∢⫏≰20201001⪝⫏≰1101110↬(⫏≰22002121≁↽≥⫏≰2122111⪕(⫏≰10200020≃⫏≰12222200)))=NaN","reverse_text":"NaN=(⫏≰1111202⇤⫏≰11101222∓⋝(⫏≰11021001%⫏≰100221201)⊲⩕⊾⫏≰10121112⨂≜⫏≰2021020≦↸(⫏≰10201201⨉))⩖⊿((⫏≰12200100↪⪝)⩣⫁∢⫏≰20201001⪝⫏≰1101110↬(⫏≰22002121≁↽≥⫏≰2122111⪕(⫏≰10200020≃⫏≰12222200)))","cot":[{"info":"⫏≰1111202⇤⫏≰11101222=⫏≰-221200001","layer":3},{"info":"⫏≰11021001%⫏≰100221201=⫏≰11021001","layer":3},{"info":"⫏≰-221200001∓⋝⫏≰11021001=⫏≰2111","layer":2},{"info":"⫏≰10121112⨂≜⫏≰2021020=NaN","layer":3},{"info":"⫏≰10201201⨉=⫏≰101122122","layer":3},{"info":"NaN≦↸⫏≰101122122=NaN","layer":2},{"info":"⫏≰2111⊲⩕⊾NaN=NaN","layer":1},{"info":"⫏≰12200100↪⪝=⫏≰122122121122100000","layer":3},{"info":"⫏≰20201001⪝⫏≰1101110=⫏≰-210211011","layer":3},{"info":"⫏≰122122121122100000⩣⫁∢⫏≰-210211011=⫏≰-1022022020021110001","layer":2},{"info":"⫏≰22002121≁↽≥⫏≰2122111=⫏≰11012110100","layer":3},{"info":"⫏≰10200020≃⫏≰12222200=⫏≰-112202101","layer":3},{"info":"⫏≰11012110100⪕⫏≰-112202101=⫏≰1021122","layer":2},{"info":"⫏≰-1022022020021110001↬⫏≰1021122=NaN","layer":1},{"info":"NaN⩖⊿NaN=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"⪫⨮⊛((($2007$⨎$3315$)⩧⪆($2739$⩁))⨼⩣(⊁⨺($2266$⪚$1297$)))","expression":"⪫⨮⊛(((⫏≰2202100⨎⫏≰11112210)⩧⪆(⫏≰10202110⩁))⨼⩣(⊁⨺(⫏≰10002221⪚⫏≰1210001)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15663,"operation_count":7,"complexity_ratio":2237.5714285714284,"tree":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2007,"base":3},"right_expr":{"type":"numeric_atoms","value":3315,"base":3}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":2739,"base":3}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2266,"base":3},"right_expr":{"type":"numeric_atoms","value":1297,"base":3}}}}},"used_operators":["w5FWba1tyO","JxwMv5le6e","Ikt5ks8PT7","rJVOvQCfKK","5GqDbVmqXU","PxiHyQbrIp","HrjLwUk87U"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eewbuw0ToL","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2007","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=3315, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3315","layer":3},{"info":"number node, value=2739","layer":4},{"info":"compute unary expreesion, input=2739, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-19132","layer":3},{"info":"compute binary expreesion, left_input=3315, right_input=-19132, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=19132","layer":2},{"info":"number node, value=2266","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=1297, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1582","layer":3},{"info":"compute unary expreesion, input=1582, 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":2},{"info":"compute binary expreesion, left_input=19132, right_input=160, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⪫⨮⊛(((⫏≰2202100⨎⫏≰11112210)⩧⪆(⫏≰10202110⩁))⨼⩣(⊁⨺(⫏≰10002221⪚⫏≰1210001)))=NaN","reverse_text":"NaN=⪫⨮⊛(((⫏≰2202100⨎⫏≰11112210)⩧⪆(⫏≰10202110⩁))⨼⩣(⊁⨺(⫏≰10002221⪚⫏≰1210001)))","cot":[{"info":"⫏≰2202100⨎⫏≰11112210=⫏≰11112210","layer":3},{"info":"⫏≰10202110⩁=⫏≰-222020121","layer":3},{"info":"⫏≰11112210⩧⪆⫏≰-222020121=⫏≰222020121","layer":2},{"info":"⫏≰10002221⪚⫏≰1210001=⫏≰2011121","layer":3},{"info":"⊁⨺⫏≰2011121=⫏≰12221","layer":2},{"info":"⫏≰222020121⨼⩣⫏≰12221=NaN","layer":1},{"info":"⪫⨮⊛NaN=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"(($3580$⩵∡$4197$)∴($2684$∌↝$3728$)⊉≛↸($6082$⨟⋌⩍$1966$)≝⊿$7571$⇂≾⫗$2225$)⊔((∟⋨$2408$)⨐($1024$⪨≂$5941$)⪡(($2617$∪⫐$9031$)⊾⪯⋞$1376$⋭≵$4989$))","expression":"((⫏≰11220121⩵∡⫏≰12202110)∴(⫏≰10200102∌↝⫏≰12010002)⊉≛↸(⫏≰22100021⨟⋌⩍⫏≰2200211)≝⊿⫏≰101101102⇂≾⫗⫏≰10001102)⊔((∟⋨⫏≰10022012)⨐(⫏≰1101221⪨≂⫏≰22011001)⪡((⫏≰10120221∪⫐⫏≰110101111)⊾⪯⋞⫏≰1212222⋭≵⫏≰20211210))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2675,"operation_count":15,"complexity_ratio":178.33333333333334,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3580,"base":3},"right_expr":{"type":"numeric_atoms","value":4197,"base":3}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2684,"base":3},"right_expr":{"type":"numeric_atoms","value":3728,"base":3}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6082,"base":3},"right_expr":{"type":"numeric_atoms","value":1966,"base":3}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":7571,"base":3},"right_expr":{"type":"numeric_atoms","value":2225,"base":3}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2408,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1024,"base":3},"right_expr":{"type":"numeric_atoms","value":5941,"base":3}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2617,"base":3},"right_expr":{"type":"numeric_atoms","value":9031,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1376,"base":3},"right_expr":{"type":"numeric_atoms","value":4989,"base":3}}}}},"used_operators":["E4l6HwMY31","DZ8iAZOCBD","hrf7POJlIJ","Y7wcNGrDQJ","9Isq31Ruls","OKKcZfAt5B","rGHVDoGpnC","aBQ6xLxuTc","oraRL2iQuh","Noe24qw2ks","ctOc4cKSDt","sdazOOVcIp","HK0tfVPux8","7YooWSwCyH","jBncVCNhdl"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","12rbrZMWeM","Tcnh7f0tEr","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rJVOvQCfKK","2DDjHMKMc0","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3580","layer":4},{"info":"number node, value=4197","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=4197, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3084","layer":3},{"info":"number node, value=2684","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=3728, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3084, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-4520","layer":2},{"info":"number node, value=6082","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=6082, right_input=1966, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7571","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=7571, right_input=2225, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4520, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=2408","layer":4},{"info":"compute unary expreesion, input=2408, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1924","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=5941","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=5941, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9732","layer":3},{"info":"compute binary expreesion, left_input=-1924, right_input=-9732, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=3848","layer":2},{"info":"number node, value=2617","layer":4},{"info":"number node, value=9031","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=9031, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2617","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=4989","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=4989, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=2617, right_input=67, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"compute binary expreesion, left_input=3848, right_input=-818, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-713","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-713, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11220121⩵∡⫏≰12202110)∴(⫏≰10200102∌↝⫏≰12010002)⊉≛↸(⫏≰22100021⨟⋌⩍⫏≰2200211)≝⊿⫏≰101101102⇂≾⫗⫏≰10001102)⊔((∟⋨⫏≰10022012)⨐(⫏≰1101221⪨≂⫏≰22011001)⪡((⫏≰10120221∪⫐⫏≰110101111)⊾⪯⋞⫏≰1212222⋭≵⫏≰20211210))=NaN","reverse_text":"NaN=((⫏≰11220121⩵∡⫏≰12202110)∴(⫏≰10200102∌↝⫏≰12010002)⊉≛↸(⫏≰22100021⨟⋌⩍⫏≰2200211)≝⊿⫏≰101101102⇂≾⫗⫏≰10001102)⊔((∟⋨⫏≰10022012)⨐(⫏≰1101221⪨≂⫏≰22011001)⪡((⫏≰10120221∪⫐⫏≰110101111)⊾⪯⋞⫏≰1212222⋭≵⫏≰20211210))","cot":[{"info":"⫏≰11220121⩵∡⫏≰12202110=⫏≰-11020020","layer":3},{"info":"⫏≰10200102∌↝⫏≰12010002=⫏≰0","layer":3},{"info":"⫏≰-11020020∴⫏≰0=⫏≰-20012102","layer":2},{"info":"⫏≰22100021⨟⋌⩍⫏≰2200211=NaN","layer":3},{"info":"⫏≰101101102⇂≾⫗⫏≰10001102=⫏≰-221001","layer":3},{"info":"NaN≝⊿⫏≰-221001=NaN","layer":2},{"info":"⫏≰-20012102⊉≛↸NaN=NaN","layer":1},{"info":"∟⋨⫏≰10022012=⫏≰-2122021","layer":3},{"info":"⫏≰1101221⪨≂⫏≰22011001=⫏≰-111100110","layer":3},{"info":"⫏≰-2122021⨐⫏≰-111100110=⫏≰12021112","layer":2},{"info":"⫏≰10120221∪⫐⫏≰110101111=⫏≰10120221","layer":3},{"info":"⫏≰1212222⋭≵⫏≰20211210=⫏≰2111","layer":3},{"info":"⫏≰10120221⊾⪯⋞⫏≰2111=⫏≰-1010022","layer":2},{"info":"⫏≰12021112⪡⫏≰-1010022=⫏≰-222102","layer":1},{"info":"NaN⊔⫏≰-222102=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"≸((⫵↿$3788$⩣⫁∢$1499$)≬⇓($4312$≣⋋)⫞⩸⩒($1180$⨟⋌⩍$5590$))","expression":"≸((⫵↿⫏≰12012022⩣⫁∢⫏≰2001112)≬⇓(⫏≰12220201≣⋋)⫞⩸⩒(⫏≰1121201⨟⋌⩍⫏≰21200001))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":792,"operation_count":7,"complexity_ratio":113.14285714285714,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3788,"base":3},"right_expr":{"type":"numeric_atoms","value":1499,"base":3}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4312,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1180,"base":3},"right_expr":{"type":"numeric_atoms","value":5590,"base":3}}}}},"used_operators":["eOf03JbCpp","jWTQ2TZYIH","ivGwdmUAux","JDUIKTTSIa","XGcMNugi78","Tcnh7f0tEr","rGHVDoGpnC"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Tcnh7f0tEr"],"result":"⫏≰111000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3788","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=1499, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7415","layer":3},{"info":"compute unary expreesion, input=-7415, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=4312","layer":4},{"info":"compute unary expreesion, input=4312, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=5590","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=5590, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":0}],"base":3,"result_base":3,"text":"≸((⫵↿⫏≰12012022⩣⫁∢⫏≰2001112)≬⇓(⫏≰12220201≣⋋)⫞⩸⩒(⫏≰1121201⨟⋌⩍⫏≰21200001))=⫏≰111000","reverse_text":"⫏≰111000=≸((⫵↿⫏≰12012022⩣⫁∢⫏≰2001112)≬⇓(⫏≰12220201≣⋋)⫞⩸⩒(⫏≰1121201⨟⋌⩍⫏≰21200001))","cot":[{"info":"⫏≰12012022⩣⫁∢⫏≰2001112=⫏≰-101011122","layer":3},{"info":"⫵↿⫏≰-101011122=⫏≰12002","layer":2},{"info":"⫏≰12220201≣⋋=⫏≰0","layer":3},{"info":"⫏≰1121201⨟⋌⩍⫏≰21200001=NaN","layer":3},{"info":"⫏≰0⫞⩸⩒NaN=⫏≰0","layer":2},{"info":"⫏≰12002≬⇓⫏≰0=⫏≰0","layer":1},{"info":"≸⫏≰0=⫏≰111000","layer":0}]}
{"id":780,"expression_no_base_symbol":"≔(((⊵⊁$1355$)∝(↣≠⋷$2473$))≨((⫎≠⋺$6127$)⨚⇆($1212$≧⫂∧$1728$)))","expression":"≔(((⊵⊁⫏≰1212012)∝(↣≠⋷⫏≰10101121))≨((⫎≠⋺⫏≰22101221)⨚⇆(⫏≰1122220≧⫂∧⫏≰2101000)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":174,"operation_count":8,"complexity_ratio":21.75,"tree":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1355,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2473,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":6127,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1212,"base":3},"right_expr":{"type":"numeric_atoms","value":1728,"base":3}}}}},"used_operators":["8FLs4eVsLt","0KMCeP1Jsh","cTDWOvIxvz","AvED76WdY7","Asc51vEJeQ","lwHaAYXP2r","LYeZOJ0nQG","Ph9nP6C5qx"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","uBihLCJcMX","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=7060","layer":3},{"info":"number node, value=2473","layer":4},{"info":"compute unary expreesion, input=2473, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7060, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=6127","layer":4},{"info":"compute unary expreesion, input=6127, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1212","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=1728, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1255","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1255, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-11550","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11550, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≔(((⊵⊁⫏≰1212012)∝(↣≠⋷⫏≰10101121))≨((⫎≠⋺⫏≰22101221)⨚⇆(⫏≰1122220≧⫂∧⫏≰2101000)))=NaN","reverse_text":"NaN=≔(((⊵⊁⫏≰1212012)∝(↣≠⋷⫏≰10101121))≨((⫎≠⋺⫏≰22101221)⨚⇆(⫏≰1122220≧⫂∧⫏≰2101000)))","cot":[{"info":"⊵⊁⫏≰1212012=⫏≰100200111","layer":3},{"info":"↣≠⋷⫏≰10101121=NaN","layer":3},{"info":"⫏≰100200111∝NaN=NaN","layer":2},{"info":"⫎≠⋺⫏≰22101221=⫏≰0","layer":3},{"info":"⫏≰1122220≧⫂∧⫏≰2101000=⫏≰1201111","layer":3},{"info":"⫏≰0⨚⇆⫏≰1201111=⫏≰-120211210","layer":2},{"info":"NaN≨⫏≰-120211210=NaN","layer":1},{"info":"≔NaN=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"((⨙⪌$1851$)⫢⨠$1402$↢$1921$⋫)⩣⫁∢((⨈⪑(⋣$1322$))→⨶⪴(⨩∲⋌$1119$)⨿(≪$1649$))","expression":"((⨙⪌⫏≰2112120)⫢⨠⫏≰1220221↢⫏≰2122011⋫)⩣⫁∢((⨈⪑(⋣⫏≰1210222))→⨶⪴(⨩∲⋌⫏≰1112110)⨿(≪⫏≰2021002))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6786,"operation_count":11,"complexity_ratio":616.9090909090909,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1851,"base":3}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1402,"base":3},"right_expr":{"type":"numeric_atoms","value":1921,"base":3}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1322,"base":3}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1119,"base":3}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1649,"base":3}}}}},"used_operators":["JDUIKTTSIa","JL8yIekQnl","xlXykHWxX1","vEGLkm4Z2k","WR6HLWljOP","bF6eod5Gvf","mp94q5OcYM","zQWRhDnn8F","abYXlopdE0","aSik1wnThz","Qtd6bqUJcN"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","tmPS8pqC7x","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"⫏≰-12220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1851","layer":4},{"info":"compute unary expreesion, input=1851, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1402","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=1921, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=918","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=918, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=160","layer":1},{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-388573","layer":3},{"info":"compute unary expreesion, input=-388573, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1642","layer":3},{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=-1642, right_input=913, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=67, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=1570","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1570, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-159","layer":0}],"base":3,"result_base":3,"text":"((⨙⪌⫏≰2112120)⫢⨠⫏≰1220221↢⫏≰2122011⋫)⩣⫁∢((⨈⪑(⋣⫏≰1210222))→⨶⪴(⨩∲⋌⫏≰1112110)⨿(≪⫏≰2021002))=⫏≰-12220","reverse_text":"⫏≰-12220=((⨙⪌⫏≰2112120)⫢⨠⫏≰1220221↢⫏≰2122011⋫)⩣⫁∢((⨈⪑(⋣⫏≰1210222))→⨶⪴(⨩∲⋌⫏≰1112110)⨿(≪⫏≰2021002))","cot":[{"info":"⨙⪌⫏≰2112120=⫏≰1012011","layer":3},{"info":"⫏≰1220221↢⫏≰2122011=⫏≰1021000","layer":3},{"info":"⫏≰1012011⫢⨠⫏≰1021000=⫏≰12221","layer":2},{"info":"⫏≰12221⋫=⫏≰12221","layer":1},{"info":"⋣⫏≰1210222=⫏≰-201202000121","layer":3},{"info":"⨈⪑⫏≰-201202000121=⫏≰1012011","layer":2},{"info":"⨩∲⋌⫏≰1112110=⫏≰-2020211","layer":3},{"info":"≪⫏≰2021002=⫏≰1020211","layer":3},{"info":"⫏≰-2020211⨿⫏≰1020211=⫏≰2111","layer":2},{"info":"⫏≰1012011→⨶⪴⫏≰2111=⫏≰2011011","layer":1},{"info":"⫏≰12221⩣⫁∢⫏≰2011011=⫏≰-12220","layer":0}]}
{"id":782,"expression_no_base_symbol":"(($1562$↬$1466$)⨸($1351$∀⇚≩$2239$))⪟⇏(($1017$∙⊟$2424$)⇉⇱⇎)⫦⪉(≋($4313$⪥$1010$))⩇∃⫛($2021$≀⫉$1530$∲⫓$1429$≎⪠$2060$)","expression":"((⫏≰2010212↬⫏≰2000022)⨸(⫏≰1212001∀⇚≩⫏≰10001221))⪟⇏((⫏≰1101200∙⊟⫏≰10022210)⇉⇱⇎)⫦⪉(≋(⫏≰12220202⪥⫏≰1101102))⩇∃⫛(⫏≰2202212≀⫉⫏≰2002200∲⫓⫏≰1221221≎⪠⫏≰2211022)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30056,"operation_count":13,"complexity_ratio":2312.0,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1562,"base":3},"right_expr":{"type":"numeric_atoms","value":1466,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1351,"base":3},"right_expr":{"type":"numeric_atoms","value":2239,"base":3}}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1017,"base":3},"right_expr":{"type":"numeric_atoms","value":2424,"base":3}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4313,"base":3},"right_expr":{"type":"numeric_atoms","value":1010,"base":3}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2021,"base":3},"right_expr":{"type":"numeric_atoms","value":1530,"base":3}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1429,"base":3},"right_expr":{"type":"numeric_atoms","value":2060,"base":3}}}}},"used_operators":["wscyQdcy20","GODebY97qR","KmoU8R5UQR","B5M0gjZbta","LRNGc0VcxI","MRPaB8lBjK","SxTAKzQCrw","1aApVXNlOP","61wBmkZwlr","QbnwKVWMIQ","i8ToyICDmI","oZj3VtZNQx","aNhz54LH3e"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rGHVDoGpnC","X99M06cbEe","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","7j4O788W3g","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1562","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1466, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=2239, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=1017","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=2424, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=23067","layer":3},{"info":"compute unary expreesion, input=23067, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-22849","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22849, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":1},{"info":"number node, value=4313","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=4313, right_input=1010, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=21904","layer":3},{"info":"compute unary expreesion, input=21904, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=21904","layer":2},{"info":"number node, value=2021","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=1530, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1429","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=2060, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=19558, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=21904, right_input=0, 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=-21431","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21431, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2010212↬⫏≰2000022)⨸(⫏≰1212001∀⇚≩⫏≰10001221))⪟⇏((⫏≰1101200∙⊟⫏≰10022210)⇉⇱⇎)⫦⪉(≋(⫏≰12220202⪥⫏≰1101102))⩇∃⫛(⫏≰2202212≀⫉⫏≰2002200∲⫓⫏≰1221221≎⪠⫏≰2211022)=NaN","reverse_text":"NaN=((⫏≰2010212↬⫏≰2000022)⨸(⫏≰1212001∀⇚≩⫏≰10001221))⪟⇏((⫏≰1101200∙⊟⫏≰10022210)⇉⇱⇎)⫦⪉(≋(⫏≰12220202⪥⫏≰1101102))⩇∃⫛(⫏≰2202212≀⫉⫏≰2002200∲⫓⫏≰1221221≎⪠⫏≰2211022)","cot":[{"info":"⫏≰2010212↬⫏≰2000022=NaN","layer":3},{"info":"⫏≰1212001∀⇚≩⫏≰10001221=NaN","layer":3},{"info":"NaN⨸NaN=NaN","layer":2},{"info":"⫏≰1101200∙⊟⫏≰10022210=⫏≰1011122100","layer":3},{"info":"⫏≰1011122100⇉⇱⇎=⫏≰-1011100021","layer":2},{"info":"NaN⪟⇏⫏≰-1011100021=NaN","layer":1},{"info":"⫏≰12220202⪥⫏≰1101102=⫏≰1010001021","layer":3},{"info":"≋⫏≰1010001021=⫏≰1010001021","layer":2},{"info":"⫏≰2202212≀⫉⫏≰2002200=⫏≰10212112","layer":3},{"info":"⫏≰1221221≎⪠⫏≰2211022=⫏≰222211101","layer":3},{"info":"⫏≰10212112∲⫓⫏≰222211101=⫏≰0","layer":2},{"info":"⫏≰1010001021⩇∃⫛⫏≰0=⫏≰-1002101202","layer":1},{"info":"NaN⫦⪉⫏≰-1002101202=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"(($2361$∳⫺$5524$⊍)⊜)⨎(($7863$⨟⋌⩍$3703$⊔$3649$⨚⇆$6015$)⨲∙)","expression":"((⫏≰10020110∳⫺⫏≰21120121⊍)⊜)⨎((⫏≰101210020⨟⋌⩍⫏≰12002011⊔⫏≰12000011⨚⇆⫏≰22020210)⨲∙)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":25855,"operation_count":8,"complexity_ratio":3231.875,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2361,"base":3},"right_expr":{"type":"numeric_atoms","value":5524,"base":3}}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7863,"base":3},"right_expr":{"type":"numeric_atoms","value":3703,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3649,"base":3},"right_expr":{"type":"numeric_atoms","value":6015,"base":3}}}}},"used_operators":["rJVOvQCfKK","Eev2Q7dYIw","3nqY3DE9mg","AzXXKTstlj","cRahaglYVE","E4l6HwMY31","rGHVDoGpnC","lwHaAYXP2r"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Tcnh7f0tEr","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2361","layer":4},{"info":"number node, value=5524","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=5524, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-1542","layer":3},{"info":"compute unary expreesion, input=-1542, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-13341","layer":2},{"info":"compute unary expreesion, input=-13341, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=79936","layer":1},{"info":"number node, value=7863","layer":4},{"info":"number node, value=3703","layer":4},{"info":"compute binary expreesion, left_input=7863, right_input=3703, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3649","layer":4},{"info":"number node, value=6015","layer":4},{"info":"compute binary expreesion, left_input=3649, right_input=6015, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=79936, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10020110∳⫺⫏≰21120121⊍)⊜)⨎((⫏≰101210020⨟⋌⩍⫏≰12002011⊔⫏≰12000011⨚⇆⫏≰22020210)⨲∙)=NaN","reverse_text":"NaN=((⫏≰10020110∳⫺⫏≰21120121⊍)⊜)⨎((⫏≰101210020⨟⋌⩍⫏≰12002011⊔⫏≰12000011⨚⇆⫏≰22020210)⨲∙)","cot":[{"info":"⫏≰10020110∳⫺⫏≰21120121=⫏≰-2010010","layer":3},{"info":"⫏≰-2010010⊍=⫏≰-200022010","layer":2},{"info":"⫏≰-200022010⊜=⫏≰11001122121","layer":1},{"info":"⫏≰101210020⨟⋌⩍⫏≰12002011=NaN","layer":3},{"info":"⫏≰12000011⨚⇆⫏≰22020210=NaN","layer":3},{"info":"NaN⊔NaN=NaN","layer":2},{"info":"NaN⨲∙=NaN","layer":1},{"info":"⫏≰11001122121⨎NaN=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"(↑$1515$)⨸($5871$⋷$1040$)⪔$3923$⊕∕$4676$⩖⊿($1555$≹⇙⪍$3842$)≭(∂⩏⊆$4466$⋅⇍$2334$∙⊟(⪓⩚$1091$))","expression":"(↑⫏≰2002010)⨸(⫏≰22001110⋷⫏≰1102112)⪔⫏≰12101022⊕∕⫏≰20102012⩖⊿(⫏≰2010121≹⇙⪍⫏≰12021022)≭(∂⩏⊆⫏≰20010102⋅⇍⫏≰10012110∙⊟(⪓⩚⫏≰1111102))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3930,"operation_count":12,"complexity_ratio":327.5,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1515,"base":3}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5871,"base":3},"right_expr":{"type":"numeric_atoms","value":1040,"base":3}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3923,"base":3},"right_expr":{"type":"numeric_atoms","value":4676,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1555,"base":3},"right_expr":{"type":"numeric_atoms","value":3842,"base":3}}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4466,"base":3},"right_expr":{"type":"numeric_atoms","value":2334,"base":3}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1091,"base":3}}}}},"used_operators":["rxpJgHHUmx","GjBEYRfMaF","KmoU8R5UQR","tR7O2zTn5j","23Mk6UjR3U","RZ5CV9rWsJ","9cloC0Ngie","AHs5Up7iyr","8WDwsbhb0R","SxTAKzQCrw","AdZkA7nFnk","u0R0Locfp2"],"dependent_operators":["AHs5Up7iyr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"compute unary expreesion, input=1515, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=5871","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=5871, right_input=1040, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3791","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-3791, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=384","layer":2},{"info":"number node, value=3923","layer":4},{"info":"number node, value=4676","layer":4},{"info":"compute binary expreesion, left_input=3923, right_input=4676, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3923","layer":3},{"info":"number node, value=1555","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=3842, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3923, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=384, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=4466","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=2334, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=426, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22571","layer":2},{"info":"compute unary expreesion, input=22571, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-67792","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-67792, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"(↑⫏≰2002010)⨸(⫏≰22001110⋷⫏≰1102112)⪔⫏≰12101022⊕∕⫏≰20102012⩖⊿(⫏≰2010121≹⇙⪍⫏≰12021022)≭(∂⩏⊆⫏≰20010102⋅⇍⫏≰10012110∙⊟(⪓⩚⫏≰1111102))=NaN","reverse_text":"NaN=(↑⫏≰2002010)⨸(⫏≰22001110⋷⫏≰1102112)⪔⫏≰12101022⊕∕⫏≰20102012⩖⊿(⫏≰2010121≹⇙⪍⫏≰12021022)≭(∂⩏⊆⫏≰20010102⋅⇍⫏≰10012110∙⊟(⪓⩚⫏≰1111102))","cot":[{"info":"↑⫏≰2002010=⫏≰21010","layer":3},{"info":"⫏≰22001110⋷⫏≰1102112=⫏≰-12012102","layer":3},{"info":"⫏≰21010⨸⫏≰-12012102=⫏≰112020","layer":2},{"info":"⫏≰12101022⊕∕⫏≰20102012=⫏≰12101022","layer":3},{"info":"⫏≰2010121≹⇙⪍⫏≰12021022=NaN","layer":3},{"info":"⫏≰12101022⩖⊿NaN=NaN","layer":2},{"info":"⫏≰112020⪔NaN=NaN","layer":1},{"info":"⫏≰20010102⋅⇍⫏≰10012110=⫏≰-211","layer":3},{"info":"⪓⩚⫏≰1111102=⫏≰120210","layer":3},{"info":"⫏≰-211∙⊟⫏≰120210=⫏≰1010221222","layer":2},{"info":"∂⩏⊆⫏≰1010221222=⫏≰-10102222211","layer":1},{"info":"NaN≭⫏≰-10102222211=NaN","layer":0}]}
{"id":785,"expression_no_base_symbol":"(($1047$≝⊿$1134$⫒⫫$3231$⨥⫆$3436$)↹⊜(⨂⪏⇭$2522$⪝$1402$))⪟⇏(∤↝($1974$⇴∐$4581$∪⫐$3717$∷$1133$))","expression":"((⫏≰1102210≝⊿⫏≰1120000⫒⫫⫏≰11102200⨥⫆⫏≰11201021)↹⊜(⨂⪏⇭⫏≰10110102⪝⫏≰1220221))⪟⇏(∤↝(⫏≰2201010⇴∐⫏≰20021200∪⫐⫏≰12002200∷⫏≰1112222))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":634,"operation_count":11,"complexity_ratio":57.63636363636363,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1047,"base":3},"right_expr":{"type":"numeric_atoms","value":1134,"base":3}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3231,"base":3},"right_expr":{"type":"numeric_atoms","value":3436,"base":3}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2522,"base":3},"right_expr":{"type":"numeric_atoms","value":1402,"base":3}}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1974,"base":3},"right_expr":{"type":"numeric_atoms","value":4581,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3717,"base":3},"right_expr":{"type":"numeric_atoms","value":1133,"base":3}}}}},"used_operators":["GODebY97qR","9bazX3JMtO","6Ko8hGgeMq","OKKcZfAt5B","yXekIHxTD4","AYdpE9sXAk","wicAB68Tmb","3UMq87Qwqg","7YooWSwCyH","HnzytWxmAO","D3AQDKkPcf"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","12rbrZMWeM","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rJVOvQCfKK","2DDjHMKMc0","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⫏≰-1","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1134, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-3848","layer":3},{"info":"number node, value=3231","layer":4},{"info":"number node, value=3436","layer":4},{"info":"compute binary expreesion, left_input=3231, right_input=3436, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6748","layer":3},{"info":"compute binary expreesion, left_input=-3848, right_input=6748, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=5780","layer":2},{"info":"number node, value=2522","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=1402, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-4879","layer":3},{"info":"compute unary expreesion, input=-4879, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-15616","layer":2},{"info":"compute binary expreesion, left_input=5780, right_input=-15616, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=73928","layer":1},{"info":"number node, value=1974","layer":4},{"info":"number node, value=4581","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=4581, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3717","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=3717, right_input=1133, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1133","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1133, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=73928, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1102210≝⊿⫏≰1120000⫒⫫⫏≰11102200⨥⫆⫏≰11201021)↹⊜(⨂⪏⇭⫏≰10110102⪝⫏≰1220221))⪟⇏(∤↝(⫏≰2201010⇴∐⫏≰20021200∪⫐⫏≰12002200∷⫏≰1112222))=⫏≰-1","reverse_text":"⫏≰-1=((⫏≰1102210≝⊿⫏≰1120000⫒⫫⫏≰11102200⨥⫆⫏≰11201021)↹⊜(⨂⪏⇭⫏≰10110102⪝⫏≰1220221))⪟⇏(∤↝(⫏≰2201010⇴∐⫏≰20021200∪⫐⫏≰12002200∷⫏≰1112222))","cot":[{"info":"⫏≰1102210≝⊿⫏≰1120000=⫏≰-12021112","layer":3},{"info":"⫏≰11102200⨥⫆⫏≰11201021=⫏≰100020221","layer":3},{"info":"⫏≰-12021112⫒⫫⫏≰100020221=⫏≰21221002","layer":2},{"info":"⫏≰10110102⪝⫏≰1220221=⫏≰-20200201","layer":3},{"info":"⨂⪏⇭⫏≰-20200201=⫏≰-210102101","layer":2},{"info":"⫏≰21221002↹⊜⫏≰-210102101=⫏≰10202102002","layer":1},{"info":"⫏≰2201010⇴∐⫏≰20021200=NaN","layer":3},{"info":"⫏≰12002200∷⫏≰1112222=⫏≰1112222","layer":3},{"info":"NaN∪⫐⫏≰1112222=NaN","layer":2},{"info":"∤↝NaN=NaN","layer":1},{"info":"⫏≰10202102002⪟⇏NaN=⫏≰-1","layer":0}]}
{"id":786,"expression_no_base_symbol":"(($3397$≥⨤⩑$1003$)⩖⊿(≀↧⇸$1550$)%$1381$⊴$5002$⇷($6328$/$1181$))≭($4328$⩼⇪↪$1515$⪁(⇜⊴$3124$)∕⩚(⇖($4819$≫≃)))","expression":"((⫏≰11122211≥⨤⩑⫏≰1101011)⩖⊿(≀↧⇸⫏≰2010102)%⫏≰1220011⊴⫏≰20212021⇷(⫏≰22200101/⫏≰1121202))≭(⫏≰12221022⩼⇪↪⫏≰2002010⪁(⇜⊴⫏≰11021201)∕⩚(⇖(⫏≰20121111≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":733475,"operation_count":14,"complexity_ratio":52391.07142857143,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3397,"base":3},"right_expr":{"type":"numeric_atoms","value":1003,"base":3}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1550,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1381,"base":3},"right_expr":{"type":"numeric_atoms","value":5002,"base":3}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6328,"base":3},"right_expr":{"type":"numeric_atoms","value":1181,"base":3}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4328,"base":3},"right_expr":{"type":"numeric_atoms","value":1515,"base":3}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3124,"base":3}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4819,"base":3}}}}},"used_operators":["rxpJgHHUmx","k8jYdgA6NY","RZ5CV9rWsJ","gJLn6v0xnP","ljTHtUsqzn","mp7IySMOzn","Nsiff2A1zJ","XhwjNDsVaA","z9ffQ9n5Zr","I7sXao9hZE","ocnLzx9CaJ","XwDhCwWbUn","tfWHHpNKUN","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","XPYlsWDdGa","23Mk6UjR3U","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","2DQ55sFlQl","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3397","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=3397, right_input=1003, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3100","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3100, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=19782","layer":2},{"info":"number node, value=1381","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=5002, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6328","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=1181, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10","layer":2},{"info":"compute binary expreesion, left_input=19782, right_input=10, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2","layer":1},{"info":"number node, value=4328","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=1515, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2732","layer":3},{"info":"number node, value=3124","layer":4},{"info":"compute unary expreesion, input=3124, 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=-723550","layer":3},{"info":"compute binary expreesion, left_input=-2732, right_input=-723550, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=4819","layer":4},{"info":"compute unary expreesion, input=4819, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11039","layer":3},{"info":"compute unary expreesion, input=11039, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=2, right_input=-487, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":3,"result_base":3,"text":"((⫏≰11122211≥⨤⩑⫏≰1101011)⩖⊿(≀↧⇸⫏≰2010102)%⫏≰1220011⊴⫏≰20212021⇷(⫏≰22200101/⫏≰1121202))≭(⫏≰12221022⩼⇪↪⫏≰2002010⪁(⇜⊴⫏≰11021201)∕⩚(⇖(⫏≰20121111≫≃)))=NaN","reverse_text":"NaN=((⫏≰11122211≥⨤⩑⫏≰1101011)⩖⊿(≀↧⇸⫏≰2010102)%⫏≰1220011⊴⫏≰20212021⇷(⫏≰22200101/⫏≰1121202))≭(⫏≰12221022⩼⇪↪⫏≰2002010⪁(⇜⊴⫏≰11021201)∕⩚(⇖(⫏≰20121111≫≃)))","cot":[{"info":"⫏≰11122211≥⨤⩑⫏≰1101011=⫏≰1200201","layer":3},{"info":"≀↧⇸⫏≰2010102=⫏≰11020211","layer":3},{"info":"⫏≰1200201⩖⊿⫏≰11020211=⫏≰1000010200","layer":2},{"info":"⫏≰1220011⊴⫏≰20212021=NaN","layer":3},{"info":"⫏≰22200101/⫏≰1121202=⫏≰12","layer":3},{"info":"NaN⇷⫏≰12=⫏≰101","layer":2},{"info":"⫏≰1000010200%⫏≰101=⫏≰2","layer":1},{"info":"⫏≰12221022⩼⇪↪⫏≰2002010=⫏≰-10202012","layer":3},{"info":"⇜⊴⫏≰11021201=⫏≰-1100202112011","layer":3},{"info":"⫏≰-10202012⪁⫏≰-1100202112011=NaN","layer":2},{"info":"⫏≰20121111≫≃=⫏≰120010212","layer":3},{"info":"⇖⫏≰120010212=⫏≰12221","layer":2},{"info":"NaN∕⩚⫏≰12221=⫏≰-200001","layer":1},{"info":"⫏≰2≭⫏≰-200001=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"$1158$⊢$4381$⫰⋱($3164$≣⋋)≀⩗∶$1225$⪕$2005$⨭⪣$1014$⩚⊴⇥$1299$⊭↱($2123$⪬$7264$≫≃)⩁⩘($2358$∙∹∝$2088$)∓⋝($3157$⩢≌)","expression":"⫏≰1120220⊢⫏≰20000021⫰⋱(⫏≰11100012≣⋋)≀⩗∶⫏≰1200101⪕⫏≰2202021⨭⪣⫏≰1101120⩚⊴⇥⫏≰1210010⊭↱(⫏≰2220122⪬⫏≰100222001≫≃)⩁⩘(⫏≰10020100∙∹∝⫏≰2212100)∓⋝(⫏≰11022221⩢≌)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1470,"operation_count":14,"complexity_ratio":105.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1158,"base":3},"right_expr":{"type":"numeric_atoms","value":4381,"base":3}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3164,"base":3}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1225,"base":3},"right_expr":{"type":"numeric_atoms","value":2005,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1014,"base":3},"right_expr":{"type":"numeric_atoms","value":1299,"base":3}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2123,"base":3},"right_expr":{"type":"numeric_atoms","value":7264,"base":3}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2358,"base":3},"right_expr":{"type":"numeric_atoms","value":2088,"base":3}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":3157,"base":3}}}}},"used_operators":["COABgblf1C","8INZBEW696","6o9Blt3TJ6","5twsqlHp2o","Tcnh7f0tEr","kn8WO9XteQ","umQnsF7QlU","NTOWxs364D","gub5Cegaqo","X99M06cbEe","Ez1Nq5fNfI","PoHhknlbAi","HmxsFra2vL","D617RFjZIq"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","IWmyXbctLI","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","hTbEZDJLEm","o20kRiQErp"],"result":"⫏≰10221021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"number node, value=4381","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=4381, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2560","layer":3},{"info":"number node, value=3164","layer":4},{"info":"compute unary expreesion, input=3164, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2560, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=2593","layer":2},{"info":"number node, value=1225","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=2005, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1346","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=1299, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2434","layer":3},{"info":"compute binary expreesion, left_input=1346, right_input=-2434, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=2593, right_input=67, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"number node, value=2123","layer":4},{"info":"number node, value=7264","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=7264, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3869","layer":2},{"info":"number node, value=2358","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=2358, right_input=2088, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3157","layer":4},{"info":"compute unary expreesion, input=3157, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=3869, right_input=121, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=1432","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1432, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2869","layer":0}],"base":3,"result_base":3,"text":"⫏≰1120220⊢⫏≰20000021⫰⋱(⫏≰11100012≣⋋)≀⩗∶⫏≰1200101⪕⫏≰2202021⨭⪣⫏≰1101120⩚⊴⇥⫏≰1210010⊭↱(⫏≰2220122⪬⫏≰100222001≫≃)⩁⩘(⫏≰10020100∙∹∝⫏≰2212100)∓⋝(⫏≰11022221⩢≌)=⫏≰10221021","reverse_text":"⫏≰10221021=⫏≰1120220⊢⫏≰20000021⫰⋱(⫏≰11100012≣⋋)≀⩗∶⫏≰1200101⪕⫏≰2202021⨭⪣⫏≰1101120⩚⊴⇥⫏≰1210010⊭↱(⫏≰2220122⪬⫏≰100222001≫≃)⩁⩘(⫏≰10020100∙∹∝⫏≰2212100)∓⋝(⫏≰11022221⩢≌)","cot":[{"info":"⫏≰1120220⊢⫏≰20000021=⫏≰-10111211","layer":3},{"info":"⫏≰11100012≣⋋=⫏≰0","layer":3},{"info":"⫏≰-10111211⫰⋱⫏≰0=⫏≰10120001","layer":2},{"info":"⫏≰1200101⪕⫏≰2202021=⫏≰1211212","layer":3},{"info":"⫏≰1101120⩚⊴⇥⫏≰1210010=⫏≰-10100011","layer":3},{"info":"⫏≰1211212⨭⪣⫏≰-10100011=⫏≰2111","layer":2},{"info":"⫏≰10120001≀⩗∶⫏≰2111=⫏≰0","layer":1},{"info":"⫏≰2220122⪬⫏≰100222001=⫏≰1200201","layer":3},{"info":"⫏≰1200201≫≃=⫏≰12022022","layer":2},{"info":"⫏≰10020100∙∹∝⫏≰2212100=⫏≰0","layer":3},{"info":"⫏≰11022221⩢≌=⫏≰11012","layer":3},{"info":"⫏≰0∓⋝⫏≰11012=⫏≰11111","layer":2},{"info":"⫏≰12022022⩁⩘⫏≰11111=⫏≰1222001","layer":1},{"info":"⫏≰0⊭↱⫏≰1222001=⫏≰10221021","layer":0}]}
{"id":788,"expression_no_base_symbol":"(↯⪼(($2671$⋓$1502$)≒∊($4195$⇣⩺⋵$3250$)))⊵↤","expression":"(↯⪼((⫏≰10122221⋓⫏≰2001122)≒∊(⫏≰12202101⇣⩺⋵⫏≰11110101)))⊵↤","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":148,"operation_count":5,"complexity_ratio":29.6,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2671,"base":3},"right_expr":{"type":"numeric_atoms","value":1502,"base":3}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4195,"base":3},"right_expr":{"type":"numeric_atoms","value":3250,"base":3}}}}},"used_operators":["7IPrd9c3lf","8jW3W4yZS5","5KTvxBwnZo","T2fj7uvVaJ","F4yD0voBRQ"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⫏≰-10102","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2671","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=1502, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4195","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=4195, right_input=3250, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":2},{"info":"compute unary expreesion, input=484, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = 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=-92","layer":0}],"base":3,"result_base":3,"text":"(↯⪼((⫏≰10122221⋓⫏≰2001122)≒∊(⫏≰12202101⇣⩺⋵⫏≰11110101)))⊵↤=⫏≰-10102","reverse_text":"⫏≰-10102=(↯⪼((⫏≰10122221⋓⫏≰2001122)≒∊(⫏≰12202101⇣⩺⋵⫏≰11110101)))⊵↤","cot":[{"info":"⫏≰10122221⋓⫏≰2001122=⫏≰0","layer":3},{"info":"⫏≰12202101⇣⩺⋵⫏≰11110101=⫏≰-100122","layer":3},{"info":"⫏≰0≒∊⫏≰-100122=⫏≰122221","layer":2},{"info":"↯⪼⫏≰122221=⫏≰-210","layer":1},{"info":"⫏≰-210⊵↤=⫏≰-10102","layer":0}]}
{"id":789,"expression_no_base_symbol":"(≘($4748$⋅⇍$5924$⪨≂$4119$⩁⩘$2242$))⩁⩘($5078$⫳≱↱$6096$)⋹⋡⊁($1829$⨵⪆$5658$)∴((⇁⨣⪵$2918$)⨑≵⋬(⪁⇼$2074$))","expression":"(≘(⫏≰20111212⋅⇍⫏≰22010102⪨≂⫏≰12122120⩁⩘⫏≰10002001))⩁⩘(⫏≰20222002⫳≱↱⫏≰22100210)⋹⋡⊁(⫏≰2111202⨵⪆⫏≰21202120)∴((⇁⨣⪵⫏≰11000002)⨑≵⋬(⪁⇼⫏≰2211211))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":63131,"operation_count":12,"complexity_ratio":5260.916666666667,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4748,"base":3},"right_expr":{"type":"numeric_atoms","value":5924,"base":3}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4119,"base":3},"right_expr":{"type":"numeric_atoms","value":2242,"base":3}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5078,"base":3},"right_expr":{"type":"numeric_atoms","value":6096,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1829,"base":3},"right_expr":{"type":"numeric_atoms","value":5658,"base":3}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2918,"base":3}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":2074,"base":3}}}}},"used_operators":["gub5Cegaqo","tcjXMdvYtA","sdazOOVcIp","AdZkA7nFnk","hrf7POJlIJ","As8RqfVLgs","ZvLB05nZmT","2DQ55sFlQl","XnXgA4xnOs","inkyxCbjAn","ZNVVrZ94lY"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","B5M0gjZbta","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"⫏≰202022220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4748","layer":4},{"info":"number node, value=5924","layer":4},{"info":"compute binary expreesion, left_input=4748, right_input=5924, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=4119","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=4119, right_input=2242, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=9916","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=9916, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-19774","layer":2},{"info":"compute unary expreesion, input=-19774, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=11626850","layer":1},{"info":"number node, value=5078","layer":4},{"info":"number node, value=6096","layer":4},{"info":"compute binary expreesion, left_input=5078, right_input=6096, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1829","layer":4},{"info":"number node, value=5658","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=5658, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=160, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=910","layer":2},{"info":"number node, value=2918","layer":4},{"info":"compute unary expreesion, input=2918, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2074","layer":4},{"info":"compute unary expreesion, input=2074, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=422, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=910, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3468","layer":1},{"info":"compute binary expreesion, left_input=11626850, right_input=3468, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14820","layer":0}],"base":3,"result_base":3,"text":"(≘(⫏≰20111212⋅⇍⫏≰22010102⪨≂⫏≰12122120⩁⩘⫏≰10002001))⩁⩘(⫏≰20222002⫳≱↱⫏≰22100210)⋹⋡⊁(⫏≰2111202⨵⪆⫏≰21202120)∴((⇁⨣⪵⫏≰11000002)⨑≵⋬(⪁⇼⫏≰2211211))=⫏≰202022220","reverse_text":"⫏≰202022220=(≘(⫏≰20111212⋅⇍⫏≰22010102⪨≂⫏≰12122120⩁⩘⫏≰10002001))⩁⩘(⫏≰20222002⫳≱↱⫏≰22100210)⋹⋡⊁(⫏≰2111202⨵⪆⫏≰21202120)∴((⇁⨣⪵⫏≰11000002)⨑≵⋬(⪁⇼⫏≰2211211))","cot":[{"info":"⫏≰20111212⋅⇍⫏≰22010102=⫏≰-211","layer":3},{"info":"⫏≰12122120⩁⩘⫏≰10002001=⫏≰111121021","layer":3},{"info":"⫏≰-211⪨≂⫏≰111121021=⫏≰-1000010101","layer":2},{"info":"≘⫏≰-1000010101=⫏≰210212201001002","layer":1},{"info":"⫏≰20222002⫳≱↱⫏≰22100210=⫏≰-21120","layer":3},{"info":"⫏≰2111202⨵⪆⫏≰21202120=⫏≰12221","layer":3},{"info":"⫏≰-21120⋹⋡⊁⫏≰12221=⫏≰1020201","layer":2},{"info":"⇁⨣⪵⫏≰11000002=NaN","layer":3},{"info":"⪁⇼⫏≰2211211=⫏≰120122","layer":3},{"info":"NaN⨑≵⋬⫏≰120122=NaN","layer":2},{"info":"⫏≰1020201∴NaN=⫏≰11202110","layer":1},{"info":"⫏≰210212201001002⩁⩘⫏≰11202110=⫏≰202022220","layer":0}]}
{"id":790,"expression_no_base_symbol":"(⊢≑≆($4185$⊝⪿⪼$3559$⪉⨛(⊖∈$3764$)))⨑⩅≇(≘(($1443$⫲≸⪮$5192$)⇣⩺⋵$2334$≁$5486$))","expression":"(⊢≑≆(⫏≰12202000⊝⪿⪼⫏≰11212211⪉⨛(⊖∈⫏≰12011102)))⨑⩅≇(≘((⫏≰1222110⫲≸⪮⫏≰21010022)⇣⩺⋵⫏≰10012110≁⫏≰21112012))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":135883752,"operation_count":9,"complexity_ratio":15098194.666666666,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4185,"base":3},"right_expr":{"type":"numeric_atoms","value":3559,"base":3}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":3764,"base":3}}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1443,"base":3},"right_expr":{"type":"numeric_atoms","value":5192,"base":3}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2334,"base":3},"right_expr":{"type":"numeric_atoms","value":5486,"base":3}}}}},"used_operators":["h92wMvzauj","27wFxooxGf","EWw2JM7wp4","3Oe9XWJUTD","YFxL8Sc2Zy","tcjXMdvYtA","F4yD0voBRQ","P3lXMJvFrc","8N2wDY1A35"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⫏≰-2022012120220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4185","layer":4},{"info":"number node, value=3559","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=3559, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=57131","layer":3},{"info":"number node, value=3764","layer":4},{"info":"compute unary expreesion, input=3764, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=69686","layer":3},{"info":"compute binary expreesion, left_input=57131, right_input=69686, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=101922","layer":2},{"info":"compute unary expreesion, input=101922, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=408140","layer":1},{"info":"number node, value=1443","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=5192, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1443","layer":3},{"info":"number node, value=2334","layer":4},{"info":"number node, value=5486","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=5486, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=118463","layer":3},{"info":"compute binary expreesion, left_input=1443, right_input=118463, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-231092","layer":2},{"info":"compute unary expreesion, input=-231092, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=135881834","layer":1},{"info":"compute binary expreesion, left_input=408140, right_input=135881834, 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=-1224420","layer":0}],"base":3,"result_base":3,"text":"(⊢≑≆(⫏≰12202000⊝⪿⪼⫏≰11212211⪉⨛(⊖∈⫏≰12011102)))⨑⩅≇(≘((⫏≰1222110⫲≸⪮⫏≰21010022)⇣⩺⋵⫏≰10012110≁⫏≰21112012))=⫏≰-2022012120220","reverse_text":"⫏≰-2022012120220=(⊢≑≆(⫏≰12202000⊝⪿⪼⫏≰11212211⪉⨛(⊖∈⫏≰12011102)))⨑⩅≇(≘((⫏≰1222110⫲≸⪮⫏≰21010022)⇣⩺⋵⫏≰10012110≁⫏≰21112012))","cot":[{"info":"⫏≰12202000⊝⪿⪼⫏≰11212211=⫏≰2220100222","layer":3},{"info":"⊖∈⫏≰12011102=⫏≰10112120222","layer":3},{"info":"⫏≰2220100222⪉⨛⫏≰10112120222=⫏≰12011210220","layer":2},{"info":"⊢≑≆⫏≰12011210220=⫏≰202201212022","layer":1},{"info":"⫏≰1222110⫲≸⪮⫏≰21010022=⫏≰1222110","layer":3},{"info":"⫏≰10012110≁⫏≰21112012=⫏≰20000111112","layer":3},{"info":"⫏≰1222110⇣⩺⋵⫏≰20000111112=⫏≰-102201222222","layer":2},{"info":"≘⫏≰-102201222222=⫏≰100110200111211112","layer":1},{"info":"⫏≰202201212022⨑⩅≇⫏≰100110200111211112=⫏≰-2022012120220","layer":0}]}
{"id":791,"expression_no_base_symbol":"(($4503$⊨$6778$)+⪬∐(⪛⨧$7951$)∼((∂⩏⊆$2496$)⨚⇆$8625$∛$1127$))⇻⋧≁(($1004$↓$7974$≀⩗∶$1003$⪨⊡$1151$)⪮%⊝(⨩∲⋌($1255$⋳⪒$4338$)))","expression":"((⫏≰20011210⊨⫏≰100022001)+⪬∐(⪛⨧⫏≰101220111)∼((∂⩏⊆⫏≰10102110)⨚⇆⫏≰102211110∛⫏≰1112202))⇻⋧≁((⫏≰1101012↓⫏≰101221100≀⩗∶⫏≰1101011⪨⊡⫏≰1120122)⪮%⊝(⨩∲⋌(⫏≰1201111⋳⪒⫏≰12221200)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":166369,"operation_count":14,"complexity_ratio":11883.5,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4503,"base":3},"right_expr":{"type":"numeric_atoms","value":6778,"base":3}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":7951,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2496,"base":3}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":8625,"base":3},"right_expr":{"type":"numeric_atoms","value":1127,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1004,"base":3},"right_expr":{"type":"numeric_atoms","value":7974,"base":3}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1003,"base":3},"right_expr":{"type":"numeric_atoms","value":1151,"base":3}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1255,"base":3},"right_expr":{"type":"numeric_atoms","value":4338,"base":3}}}}},"used_operators":["jCPkEVoL5K","DyGG3AbaNP","2GS7woTJqF","vg4gO5BX6G","6NJAcO2OWT","lwHaAYXP2r","8WDwsbhb0R","w2537kitQq","IWmyXbctLI","8INZBEW696","Af076pWI7l","kuIXHzHcAH","aSik1wnThz","12rbrZMWeM"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","g55IO6H4Gj","D4vGDi5EA2","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","14qkJME0vr","eLAdDNolq6","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4503","layer":4},{"info":"number node, value=6778","layer":4},{"info":"compute binary expreesion, left_input=4503, right_input=6778, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=19043","layer":3},{"info":"number node, value=7951","layer":4},{"info":"compute unary expreesion, input=7951, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=17303","layer":3},{"info":"compute binary expreesion, left_input=19043, right_input=17303, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-57129","layer":2},{"info":"number node, value=2496","layer":4},{"info":"compute unary expreesion, input=2496, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-7567","layer":3},{"info":"number node, value=8625","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=8625, right_input=1127, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-7567, right_input=67, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-57129, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=1004","layer":4},{"info":"number node, value=7974","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=7974, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1151, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"number node, value=1255","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=4338, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2115","layer":3},{"info":"compute unary expreesion, input=-2115, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1878","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1878, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=316, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20011210⊨⫏≰100022001)+⪬∐(⪛⨧⫏≰101220111)∼((∂⩏⊆⫏≰10102110)⨚⇆⫏≰102211110∛⫏≰1112202))⇻⋧≁((⫏≰1101012↓⫏≰101221100≀⩗∶⫏≰1101011⪨⊡⫏≰1120122)⪮%⊝(⨩∲⋌(⫏≰1201111⋳⪒⫏≰12221200)))=NaN","reverse_text":"NaN=((⫏≰20011210⊨⫏≰100022001)+⪬∐(⪛⨧⫏≰101220111)∼((∂⩏⊆⫏≰10102110)⨚⇆⫏≰102211110∛⫏≰1112202))⇻⋧≁((⫏≰1101012↓⫏≰101221100≀⩗∶⫏≰1101011⪨⊡⫏≰1120122)⪮%⊝(⨩∲⋌(⫏≰1201111⋳⪒⫏≰12221200)))","cot":[{"info":"⫏≰20011210⊨⫏≰100022001=⫏≰222010022","layer":3},{"info":"⪛⨧⫏≰101220111=⫏≰212201212","layer":3},{"info":"⫏≰222010022+⪬∐⫏≰212201212=⫏≰-2220100220","layer":2},{"info":"∂⩏⊆⫏≰10102110=⫏≰-101101021","layer":3},{"info":"⫏≰102211110∛⫏≰1112202=⫏≰2111","layer":3},{"info":"⫏≰-101101021⨚⇆⫏≰2111=NaN","layer":2},{"info":"⫏≰-2220100220∼NaN=NaN","layer":1},{"info":"⫏≰1101012↓⫏≰101221100=⫏≰-11222","layer":3},{"info":"⫏≰1101011⪨⊡⫏≰1120122=⫏≰0","layer":3},{"info":"⫏≰-11222≀⩗∶⫏≰0=⫏≰0","layer":2},{"info":"⫏≰1201111⋳⪒⫏≰12221200=⫏≰-2220100","layer":3},{"info":"⨩∲⋌⫏≰-2220100=⫏≰-2120120","layer":2},{"info":"⫏≰0⪮%⊝⫏≰-2120120=⫏≰102201","layer":1},{"info":"NaN⇻⋧≁⫏≰102201=NaN","layer":0}]}
{"id":792,"expression_no_base_symbol":"(($8200$/$1648$)↢($4676$⨽$4525$)⨔≚≋(≸$5128$⫘$2315$))⇂≾⫗(($2384$⫡⨏$3932$)⋥⋵⩄($8325$≚⊃≕$5170$)∐⫣)","expression":"((⫏≰102020201/⫏≰2021001)↢(⫏≰20102012⨽⫏≰20012121)⨔≚≋(≸⫏≰21000221⫘⫏≰10011202))⇂≾⫗((⫏≰10021022⫡⨏⫏≰12101122)⋥⋵⩄(⫏≰102102100≚⊃≕⫏≰21002111)∐⫣)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10259,"operation_count":11,"complexity_ratio":932.6363636363636,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":8200,"base":3},"right_expr":{"type":"numeric_atoms","value":1648,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4676,"base":3},"right_expr":{"type":"numeric_atoms","value":4525,"base":3}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5128,"base":3},"right_expr":{"type":"numeric_atoms","value":2315,"base":3}}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2384,"base":3},"right_expr":{"type":"numeric_atoms","value":3932,"base":3}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":8325,"base":3},"right_expr":{"type":"numeric_atoms","value":5170,"base":3}}}}},"used_operators":["aBQ6xLxuTc","Z57zeUYC9z","WR6HLWljOP","XhwjNDsVaA","8HhzD0ZcuI","eOf03JbCpp","48vC8HMD2b","4CyGpkTkEk","7t3wd0Fuz7","QMFrweE19q","Bmrmz2XGnR"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"⫏≰-221001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8200","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=8200, right_input=1648, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=4676","layer":4},{"info":"number node, value=4525","layer":4},{"info":"compute binary expreesion, left_input=4676, right_input=4525, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-65607189","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=-65607189, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"number node, value=5128","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=5128, right_input=2315, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6034933","layer":3},{"info":"compute unary expreesion, input=6034933, 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":2},{"info":"compute binary expreesion, left_input=-484, right_input=58, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=4520","layer":1},{"info":"number node, value=2384","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=3932, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20567","layer":3},{"info":"number node, value=8325","layer":4},{"info":"number node, value=5170","layer":4},{"info":"compute binary expreesion, left_input=8325, right_input=5170, 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":3},{"info":"compute binary expreesion, left_input=20567, right_input=67, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":1},{"info":"compute binary expreesion, left_input=4520, right_input=551, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":3,"result_base":3,"text":"((⫏≰102020201/⫏≰2021001)↢(⫏≰20102012⨽⫏≰20012121)⨔≚≋(≸⫏≰21000221⫘⫏≰10011202))⇂≾⫗((⫏≰10021022⫡⨏⫏≰12101122)⋥⋵⩄(⫏≰102102100≚⊃≕⫏≰21002111)∐⫣)=⫏≰-221001","reverse_text":"⫏≰-221001=((⫏≰102020201/⫏≰2021001)↢(⫏≰20102012⨽⫏≰20012121)⨔≚≋(≸⫏≰21000221⫘⫏≰10011202))⇂≾⫗((⫏≰10021022⫡⨏⫏≰12101122)⋥⋵⩄(⫏≰102102100≚⊃≕⫏≰21002111)∐⫣)","cot":[{"info":"⫏≰102020201/⫏≰2021001=⫏≰11","layer":3},{"info":"⫏≰20102012⨽⫏≰20012121=⫏≰-11120110012010220","layer":3},{"info":"⫏≰11↢⫏≰-11120110012010220=⫏≰-122221","layer":2},{"info":"⫏≰21000221⫘⫏≰10011202=⫏≰102100121101001","layer":3},{"info":"≸⫏≰102100121101001=⫏≰2011","layer":2},{"info":"⫏≰-122221⨔≚≋⫏≰2011=⫏≰20012102","layer":1},{"info":"⫏≰10021022⫡⨏⫏≰12101122=⫏≰1001012202","layer":3},{"info":"⫏≰102102100≚⊃≕⫏≰21002111=⫏≰2111","layer":3},{"info":"⫏≰1001012202⋥⋵⩄⫏≰2111=⫏≰11012","layer":2},{"info":"⫏≰11012∐⫣=⫏≰202102","layer":1},{"info":"⫏≰20012102⇂≾⫗⫏≰202102=⫏≰-221001","layer":0}]}
{"id":793,"expression_no_base_symbol":"⇖⫷⫕(⨛(($5516$-$2452$)⊓⋫))","expression":"⇖⫷⫕(⨛((⫏≰21120022-⫏≰10100211)⊓⋫))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1464,"operation_count":4,"complexity_ratio":366.0,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5516,"base":3},"right_expr":{"type":"numeric_atoms","value":2452,"base":3}}}}},"used_operators":["UHmRx3INFg","CoMdbyAt7R","IqGBaFP0uj","rysDP5nf3Z"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"⫏≰10212112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5516","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=5516, right_input=2452, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3064","layer":3},{"info":"compute unary expreesion, input=3064, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3192","layer":2},{"info":"compute unary expreesion, input=-3192, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":3,"result_base":3,"text":"⇖⫷⫕(⨛((⫏≰21120022-⫏≰10100211)⊓⋫))=⫏≰10212112","reverse_text":"⫏≰10212112=⇖⫷⫕(⨛((⫏≰21120022-⫏≰10100211)⊓⋫))","cot":[{"info":"⫏≰21120022-⫏≰10100211=⫏≰11012111","layer":3},{"info":"⫏≰11012111⊓⋫=⫏≰-11101020","layer":2},{"info":"⨛⫏≰-11101020=⫏≰0","layer":1},{"info":"⇖⫷⫕⫏≰0=⫏≰10212112","layer":0}]}
{"id":794,"expression_no_base_symbol":"↣≠⋷(($3204$⪗)⨰(↑$3051$)∝((⫵↿$3542$)∕⩚$1071$∊∟⩊$1243$))","expression":"↣≠⋷((⫏≰11101200⪗)⨰(↑⫏≰11012000)∝((⫵↿⫏≰11212012)∕⩚⫏≰1110200∊∟⩊⫏≰1201001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3446,"operation_count":8,"complexity_ratio":430.75,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":3204,"base":3}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":3051,"base":3}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":3542,"base":3}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1071,"base":3},"right_expr":{"type":"numeric_atoms","value":1243,"base":3}}}}},"used_operators":["Asc51vEJeQ","cTDWOvIxvz","eewbuw0ToL","VEQNXA0ZBg","tR7O2zTn5j","z9ffQ9n5Zr","ivGwdmUAux","ddLRYrp01A"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=3204","layer":4},{"info":"compute unary expreesion, input=3204, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3051","layer":4},{"info":"compute unary expreesion, input=3051, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=3542","layer":4},{"info":"compute unary expreesion, input=3542, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1243, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1243","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=1243, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-140","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-140, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', 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":3,"result_base":3,"text":"↣≠⋷((⫏≰11101200⪗)⨰(↑⫏≰11012000)∝((⫵↿⫏≰11212012)∕⩚⫏≰1110200∊∟⩊⫏≰1201001))=NaN","reverse_text":"NaN=↣≠⋷((⫏≰11101200⪗)⨰(↑⫏≰11012000)∝((⫵↿⫏≰11212012)∕⩚⫏≰1110200∊∟⩊⫏≰1201001))","cot":[{"info":"⫏≰11101200⪗=NaN","layer":3},{"info":"↑⫏≰11012000=⫏≰21010","layer":3},{"info":"NaN⨰⫏≰21010=NaN","layer":2},{"info":"⫵↿⫏≰11212012=⫏≰12002","layer":3},{"info":"⫏≰1110200∊∟⩊⫏≰1201001=⫏≰1201001","layer":3},{"info":"⫏≰12002∕⩚⫏≰1201001=⫏≰-12012","layer":2},{"info":"NaN∝⫏≰-12012=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":795,"expression_no_base_symbol":"⩷⨜⫀((($2386$⨐⩸⫘$2208$)⊬⨰($2770$⪍↜⋙$6228$))⩁⩘($1590$⋛$1942$⪥⨬⪅))","expression":"⩷⨜⫀(((⫏≰10021101⨐⩸⫘⫏≰10000210)⊬⨰(⫏≰10210121⪍↜⋙⫏≰22112200))⩁⩘(⫏≰2011220⋛⫏≰2122221⪥⨬⪅))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":875,"operation_count":7,"complexity_ratio":125.0,"tree":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2386,"base":3},"right_expr":{"type":"numeric_atoms","value":2208,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2770,"base":3},"right_expr":{"type":"numeric_atoms","value":6228,"base":3}}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1590,"base":3},"right_expr":{"type":"numeric_atoms","value":1942,"base":3}}}}},"used_operators":["CDi0ktkjQ4","gub5Cegaqo","s3Fd5m9Dh2","fu6greOZ01","L05ObWFQCd","zNRQejTB5A","YbUVn0Rbpy"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","DpFCA1CohY","IWmyXbctLI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","3ViojmjbAp","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2386","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=2208, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2770","layer":4},{"info":"number node, value=6228","layer":4},{"info":"compute binary expreesion, left_input=2770, right_input=6228, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-27089","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-27089, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"number node, value=1590","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=1942, 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=-117882","layer":3},{"info":"compute unary expreesion, input=-117882, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', 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":3,"result_base":3,"text":"⩷⨜⫀(((⫏≰10021101⨐⩸⫘⫏≰10000210)⊬⨰(⫏≰10210121⪍↜⋙⫏≰22112200))⩁⩘(⫏≰2011220⋛⫏≰2122221⪥⨬⪅))=⫏≰-11222","reverse_text":"⫏≰-11222=⩷⨜⫀(((⫏≰10021101⨐⩸⫘⫏≰10000210)⊬⨰(⫏≰10210121⪍↜⋙⫏≰22112200))⩁⩘(⫏≰2011220⋛⫏≰2122221⪥⨬⪅))","cot":[{"info":"⫏≰10021101⨐⩸⫘⫏≰10000210=NaN","layer":3},{"info":"⫏≰10210121⪍↜⋙⫏≰22112200=⫏≰-1101011022","layer":3},{"info":"NaN⊬⨰⫏≰-1101011022=NaN","layer":2},{"info":"⫏≰2011220⋛⫏≰2122221=⫏≰-12222201000","layer":3},{"info":"⫏≰-12222201000⪥⨬⪅=⫏≰-122112","layer":2},{"info":"NaN⩁⩘⫏≰-122112=NaN","layer":1},{"info":"⩷⨜⫀NaN=⫏≰-11222","layer":0}]}
{"id":796,"expression_no_base_symbol":"((⇁⨣⪵$1046$)⨐⩸⫘$2798$⋹⋡⊁$4677$⋷($1605$⪠⩆⊳)≠≀(⩩$8088$))⨎(⊖∈(⇵⪽($2743$/$1007$)))","expression":"((⇁⨣⪵⫏≰1102202)⨐⩸⫘⫏≰10211122⋹⋡⊁⫏≰20102020⋷(⫏≰2012110⪠⩆⊳)≠≀(⩩⫏≰102002120))⨎(⊖∈(⇵⪽(⫏≰10202121/⫏≰1101022)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":71624,"operation_count":11,"complexity_ratio":6511.272727272727,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1046,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2798,"base":3},"right_expr":{"type":"numeric_atoms","value":4677,"base":3}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1605,"base":3}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":8088,"base":3}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2743,"base":3},"right_expr":{"type":"numeric_atoms","value":1007,"base":3}}}}},"used_operators":["rJVOvQCfKK","23Mk6UjR3U","fu6greOZ01","inkyxCbjAn","As8RqfVLgs","IwW236VD4Y","JLbD19bQDL","kMhfGuqI2H","YFxL8Sc2Zy","ZGCBLdVRRX","XhwjNDsVaA"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","B5M0gjZbta","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","U7g4x0WXJJ","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2798","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=4677, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5427","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5427, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1605","layer":4},{"info":"compute unary expreesion, input=1605, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=8088","layer":4},{"info":"compute unary expreesion, input=8088, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=306","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=306, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=2743","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=1007, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇁⨣⪵⫏≰1102202)⨐⩸⫘⫏≰10211122⋹⋡⊁⫏≰20102020⋷(⫏≰2012110⪠⩆⊳)≠≀(⩩⫏≰102002120))⨎(⊖∈(⇵⪽(⫏≰10202121/⫏≰1101022)))=NaN","reverse_text":"NaN=((⇁⨣⪵⫏≰1102202)⨐⩸⫘⫏≰10211122⋹⋡⊁⫏≰20102020⋷(⫏≰2012110⪠⩆⊳)≠≀(⩩⫏≰102002120))⨎(⊖∈(⇵⪽(⫏≰10202121/⫏≰1101022)))","cot":[{"info":"⇁⨣⪵⫏≰1102202=NaN","layer":3},{"info":"⫏≰10211122⋹⋡⊁⫏≰20102020=⫏≰21110000","layer":3},{"info":"NaN⨐⩸⫘⫏≰21110000=NaN","layer":2},{"info":"⫏≰2012110⪠⩆⊳=⫏≰0","layer":3},{"info":"⩩⫏≰102002120=NaN","layer":3},{"info":"⫏≰0≠≀NaN=⫏≰102100","layer":2},{"info":"NaN⋷⫏≰102100=NaN","layer":1},{"info":"⫏≰10202121/⫏≰1101022=⫏≰2","layer":3},{"info":"⇵⪽⫏≰2=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"(⩷(⊁⨺(⫡⇟⇯$2149$)))≫≃","expression":"(⩷(⊁⨺(⫡⇟⇯⫏≰2221121)))≫≃","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":42,"operation_count":4,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2149,"base":3}}}}},"used_operators":["X99M06cbEe","1h0rLqGiFr","PxiHyQbrIp","qWUSsah53b"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","P8v4zCKN1o"],"result":"⫏≰-10120012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2149","layer":4},{"info":"compute unary expreesion, input=2149, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5166","layer":3},{"info":"compute unary expreesion, input=5166, 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":2},{"info":"compute unary expreesion, input=160, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-1999","layer":1},{"info":"compute unary expreesion, input=-1999, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-2597","layer":0}],"base":3,"result_base":3,"text":"(⩷(⊁⨺(⫡⇟⇯⫏≰2221121)))≫≃=⫏≰-10120012","reverse_text":"⫏≰-10120012=(⩷(⊁⨺(⫡⇟⇯⫏≰2221121)))≫≃","cot":[{"info":"⫡⇟⇯⫏≰2221121=⫏≰21002100","layer":3},{"info":"⊁⨺⫏≰21002100=⫏≰12221","layer":2},{"info":"⩷⫏≰12221=⫏≰-2202001","layer":1},{"info":"⫏≰-2202001≫≃=⫏≰-10120012","layer":0}]}
{"id":798,"expression_no_base_symbol":"$2959$→⨶⪴$2705$⩚⊴⇥($7377$≑≱⪘)↙((⨭⩧⫛$3280$)⊘)⫸⊐($1151$⇴$1713$∪⫐$2584$⫉⨲⊜$1096$)⪶≀⋏($1000$⪢$1158$⩏)","expression":"⫏≰11001121→⨶⪴⫏≰10201012⩚⊴⇥(⫏≰101010020≑≱⪘)↙((⨭⩧⫛⫏≰11111111)⊘)⫸⊐(⫏≰1120122⇴⫏≰2100110∪⫐⫏≰10112201⫉⨲⊜⫏≰1111121)⪶≀⋏(⫏≰1101001⪢⫏≰1120220⩏)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1660,"operation_count":13,"complexity_ratio":127.6923076923077,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2959,"base":3},"right_expr":{"type":"numeric_atoms","value":2705,"base":3}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":7377,"base":3}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3280,"base":3}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1151,"base":3},"right_expr":{"type":"numeric_atoms","value":1713,"base":3}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2584,"base":3},"right_expr":{"type":"numeric_atoms","value":1096,"base":3}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1000,"base":3},"right_expr":{"type":"numeric_atoms","value":1158,"base":3}}}}},"used_operators":["mqXw5SEYmG","yyfyN0ffXY","NTOWxs364D","bF6eod5Gvf","tGSeddj7UK","gu96TGCTMs","g21JL6JxX7","zR4jO40bMj","7YooWSwCyH","4JB6nKBMSY","WhqkvtTD3t","iA2gmKZ3Wj","dWAJyo7jo9"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rJVOvQCfKK","2DDjHMKMc0","sdazOOVcIp","NTOWxs364D","COABgblf1C","eewbuw0ToL","zVYPLywUTj","z6LnFrNh4i","Tcnh7f0tEr","k8jYdgA6NY"],"result":"⫏≰1022212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2959","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=2959, right_input=2705, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8115","layer":3},{"info":"number node, value=7377","layer":4},{"info":"compute unary expreesion, input=7377, 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=188167","layer":3},{"info":"compute binary expreesion, left_input=-8115, right_input=188167, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-180173","layer":2},{"info":"number node, value=3280","layer":4},{"info":"compute unary expreesion, input=3280, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-180173, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-180173","layer":1},{"info":"number node, value=1151","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1713, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=9946","layer":3},{"info":"number node, value=2584","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=1096, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9946, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=9946","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1158, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9946, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-30070","layer":1},{"info":"compute binary expreesion, left_input=-180173, right_input=-30070, 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":3,"result_base":3,"text":"⫏≰11001121→⨶⪴⫏≰10201012⩚⊴⇥(⫏≰101010020≑≱⪘)↙((⨭⩧⫛⫏≰11111111)⊘)⫸⊐(⫏≰1120122⇴⫏≰2100110∪⫐⫏≰10112201⫉⨲⊜⫏≰1111121)⪶≀⋏(⫏≰1101001⪢⫏≰1120220⩏)=⫏≰1022212","reverse_text":"⫏≰1022212=⫏≰11001121→⨶⪴⫏≰10201012⩚⊴⇥(⫏≰101010020≑≱⪘)↙((⨭⩧⫛⫏≰11111111)⊘)⫸⊐(⫏≰1120122⇴⫏≰2100110∪⫐⫏≰10112201⫉⨲⊜⫏≰1111121)⪶≀⋏(⫏≰1101001⪢⫏≰1120220⩏)","cot":[{"info":"⫏≰11001121→⨶⪴⫏≰10201012=⫏≰-102010120","layer":3},{"info":"⫏≰101010020≑≱⪘=⫏≰100120010011","layer":3},{"info":"⫏≰-102010120⩚⊴⇥⫏≰100120010011=⫏≰-100011011002","layer":2},{"info":"⨭⩧⫛⫏≰11111111=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"⫏≰-100011011002↙NaN=⫏≰-100011011002","layer":1},{"info":"⫏≰1120122⇴⫏≰2100110=⫏≰111122101","layer":3},{"info":"⫏≰10112201⫉⨲⊜⫏≰1111121=⫏≰0","layer":3},{"info":"⫏≰111122101∪⫐⫏≰0=⫏≰111122101","layer":2},{"info":"⫏≰1101001⪢⫏≰1120220=NaN","layer":3},{"info":"NaN⩏=⫏≰0","layer":2},{"info":"⫏≰111122101⪶≀⋏⫏≰0=⫏≰-1112020201","layer":1},{"info":"⫏≰-100011011002⫸⊐⫏≰-1112020201=⫏≰1022212","layer":0}]}
{"id":799,"expression_no_base_symbol":"((↣≠⋷(∨∊⋏$2228$))⨳⩥⨓(⊽($2066$⇍⊗$2624$)))⨽∌(($3179$⪡$1599$)⪘⫢($2657$⊪)⫔⩽⩺($1271$∇⊂⋱$2221$≑≱⪘))","expression":"((↣≠⋷(∨∊⋏⫏≰10001112))⨳⩥⨓(⊽(⫏≰2211112⇍⊗⫏≰10121012)))⨽∌((⫏≰11100202⪡⫏≰2012020)⪘⫢(⫏≰10122102⊪)⫔⩽⩺(⫏≰1202002∇⊂⋱⫏≰10001021≑≱⪘))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":373,"operation_count":12,"complexity_ratio":31.083333333333332,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2228,"base":3}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2066,"base":3},"right_expr":{"type":"numeric_atoms","value":2624,"base":3}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3179,"base":3},"right_expr":{"type":"numeric_atoms","value":1599,"base":3}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2657,"base":3}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1271,"base":3},"right_expr":{"type":"numeric_atoms","value":2221,"base":3}}}}},"used_operators":["9samAPKr6k","nCS4ZIUYfx","Asc51vEJeQ","R5aXW34M0v","QxG7OkqoLX","5uvYHDjeKN","i9eR4S00cU","oacrs7FA3X","oraRL2iQuh","zVYPLywUTj","tGSeddj7UK","nhYeJWJD5X"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2228","layer":4},{"info":"compute unary expreesion, input=2228, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=40271","layer":3},{"info":"compute unary expreesion, input=40271, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2066","layer":4},{"info":"number node, value=2624","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=2624, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=3179","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=3179, right_input=1599, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2657","layer":4},{"info":"compute unary expreesion, input=2657, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=1271","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=2221, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1996","layer":3},{"info":"compute unary expreesion, input=1996, 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=48261","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=48261, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↣≠⋷(∨∊⋏⫏≰10001112))⨳⩥⨓(⊽(⫏≰2211112⇍⊗⫏≰10121012)))⨽∌((⫏≰11100202⪡⫏≰2012020)⪘⫢(⫏≰10122102⊪)⫔⩽⩺(⫏≰1202002∇⊂⋱⫏≰10001021≑≱⪘))=NaN","reverse_text":"NaN=((↣≠⋷(∨∊⋏⫏≰10001112))⨳⩥⨓(⊽(⫏≰2211112⇍⊗⫏≰10121012)))⨽∌((⫏≰11100202⪡⫏≰2012020)⪘⫢(⫏≰10122102⊪)⫔⩽⩺(⫏≰1202002∇⊂⋱⫏≰10001021≑≱⪘))","cot":[{"info":"∨∊⋏⫏≰10001112=⫏≰2001020112","layer":3},{"info":"↣≠⋷⫏≰2001020112=NaN","layer":2},{"info":"⫏≰2211112⇍⊗⫏≰10121012=⫏≰-100001","layer":3},{"info":"⊽⫏≰-100001=⫏≰0","layer":2},{"info":"NaN⨳⩥⨓⫏≰0=NaN","layer":1},{"info":"⫏≰11100202⪡⫏≰2012020=⫏≰10222","layer":3},{"info":"⫏≰10122102⊪=⫏≰0","layer":3},{"info":"⫏≰10222⪘⫢⫏≰0=⫏≰0","layer":2},{"info":"⫏≰1202002∇⊂⋱⫏≰10001021=⫏≰2201221","layer":3},{"info":"⫏≰2201221≑≱⪘=⫏≰2110012110","layer":2},{"info":"⫏≰0⫔⩽⩺⫏≰2110012110=NaN","layer":1},{"info":"NaN⨽∌NaN=NaN","layer":0}]}
{"id":800,"expression_no_base_symbol":"$2411$⊕∕$3382$⨟⋌⩍$2193$⋛$2142$↙($5185$⩉⊫⨁)⩇∃⫛$1084$⇷$2384$⫌⩉⩟($4837$↫)⪚($4521$∲⫓$2007$)⊔($1615$⩨$1737$)↢$1586$⇂≾⫗$5316$","expression":"⫏≰10022022⊕∕⫏≰11122021⨟⋌⩍⫏≰10000020⋛⫏≰2221100↙(⫏≰21010001⩉⊫⨁)⩇∃⫛⫏≰1111011⇷⫏≰10021022⫌⩉⩟(⫏≰20122011↫)⪚(⫏≰20012110∲⫓⫏≰2202100)⊔(⫏≰2012211⩨⫏≰2101100)↢⫏≰2011202⇂≾⫗⫏≰21021220","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":29874,"operation_count":15,"complexity_ratio":1991.6,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2411,"base":3},"right_expr":{"type":"numeric_atoms","value":3382,"base":3}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2193,"base":3},"right_expr":{"type":"numeric_atoms","value":2142,"base":3}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":5185,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1084,"base":3},"right_expr":{"type":"numeric_atoms","value":2384,"base":3}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":4837,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4521,"base":3},"right_expr":{"type":"numeric_atoms","value":2007,"base":3}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1615,"base":3},"right_expr":{"type":"numeric_atoms","value":1737,"base":3}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1586,"base":3},"right_expr":{"type":"numeric_atoms","value":5316,"base":3}}}}},"used_operators":["XIIwhv8d0m","yyfyN0ffXY","rGHVDoGpnC","9cloC0Ngie","YbUVn0Rbpy","1aApVXNlOP","7qqUquhhSb","mp7IySMOzn","E4l6HwMY31","HrjLwUk87U","uPb5QRN0te","i8ToyICDmI","WR6HLWljOP","2DlMacCsIx","aBQ6xLxuTc"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","7j4O788W3g","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⫏≰-11022221111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2411","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=3382, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2411","layer":3},{"info":"number node, value=2193","layer":4},{"info":"number node, value=2142","layer":4},{"info":"compute binary expreesion, left_input=2193, right_input=2142, 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=-112455","layer":3},{"info":"compute binary expreesion, left_input=2411, right_input=-112455, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5185","layer":4},{"info":"compute unary expreesion, input=5185, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=5185","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=2384, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4768","layer":3},{"info":"compute binary expreesion, left_input=5185, right_input=4768, 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=56","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=56, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=4837","layer":4},{"info":"compute unary expreesion, input=4837, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=4521","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=4521, right_input=2007, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-36","layer":2},{"info":"number node, value=1615","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1737, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1586","layer":4},{"info":"number node, value=5316","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=5316, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-676, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=-36, right_input=-484, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-107","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-107, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-85252","layer":0}],"base":3,"result_base":3,"text":"⫏≰10022022⊕∕⫏≰11122021⨟⋌⩍⫏≰10000020⋛⫏≰2221100↙(⫏≰21010001⩉⊫⨁)⩇∃⫛⫏≰1111011⇷⫏≰10021022⫌⩉⩟(⫏≰20122011↫)⪚(⫏≰20012110∲⫓⫏≰2202100)⊔(⫏≰2012211⩨⫏≰2101100)↢⫏≰2011202⇂≾⫗⫏≰21021220=⫏≰-11022221111","reverse_text":"⫏≰-11022221111=⫏≰10022022⊕∕⫏≰11122021⨟⋌⩍⫏≰10000020⋛⫏≰2221100↙(⫏≰21010001⩉⊫⨁)⩇∃⫛⫏≰1111011⇷⫏≰10021022⫌⩉⩟(⫏≰20122011↫)⪚(⫏≰20012110∲⫓⫏≰2202100)⊔(⫏≰2012211⩨⫏≰2101100)↢⫏≰2011202⇂≾⫗⫏≰21021220","cot":[{"info":"⫏≰10022022⊕∕⫏≰11122021=⫏≰10022022","layer":3},{"info":"⫏≰10000020⋛⫏≰2221100=⫏≰-12201021000","layer":3},{"info":"⫏≰10022022⨟⋌⩍⫏≰-12201021000=NaN","layer":2},{"info":"⫏≰21010001⩉⊫⨁=⫏≰21010001","layer":3},{"info":"⫏≰1111011⇷⫏≰10021022=⫏≰20112121","layer":3},{"info":"⫏≰21010001⩇∃⫛⫏≰20112121=⫏≰2002","layer":2},{"info":"NaN↙⫏≰2002=NaN","layer":1},{"info":"⫏≰20122011↫=⫏≰12221","layer":3},{"info":"⫏≰20012110∲⫓⫏≰2202100=⫏≰0","layer":3},{"info":"⫏≰12221⪚⫏≰0=⫏≰-1100","layer":2},{"info":"⫏≰2012211⩨⫏≰2101100=⫏≰-10","layer":3},{"info":"⫏≰2011202⇂≾⫗⫏≰21021220=⫏≰-221001","layer":3},{"info":"⫏≰-10↢⫏≰-221001=⫏≰-122221","layer":2},{"info":"⫏≰-1100⊔⫏≰-122221=⫏≰-10222","layer":1},{"info":"NaN⫌⩉⩟⫏≰-10222=⫏≰-11022221111","layer":0}]}
{"id":801,"expression_no_base_symbol":"(⨞⊢($1461$⩵∡$1507$))≹⇙⪍(($1762$≚⋢)∷)≧⫂∧(⪲⇎($3155$⫽⇹≛)≹⇙⪍$1385$↓$1462$)","expression":"(⨞⊢(⫏≰2000010⩵∡⫏≰2001211))≹⇙⪍((⫏≰2102021≚⋢)∷)≧⫂∧(⪲⇎(⫏≰11022212⫽⇹≛)≹⇙⪍⫏≰1220022↓⫏≰2000011)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":110564,"operation_count":10,"complexity_ratio":11056.4,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1461,"base":3},"right_expr":{"type":"numeric_atoms","value":1507,"base":3}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1762,"base":3}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":3155,"base":3}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1385,"base":3},"right_expr":{"type":"numeric_atoms","value":1462,"base":3}}}}},"used_operators":["Ph9nP6C5qx","AHs5Up7iyr","xUOZtlo3hN","Y7wcNGrDQJ","nFAOW8KTqp","MahUMFw56D","XPYlsWDdGa","NNaDxxp6OQ","Af076pWI7l"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=1507, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1536","layer":3},{"info":"compute unary expreesion, input=-1536, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1362","layer":2},{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-267","layer":2},{"info":"compute binary expreesion, left_input=1362, right_input=-267, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3155","layer":4},{"info":"compute unary expreesion, input=3155, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1462, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=-134, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨞⊢(⫏≰2000010⩵∡⫏≰2001211))≹⇙⪍((⫏≰2102021≚⋢)∷)≧⫂∧(⪲⇎(⫏≰11022212⫽⇹≛)≹⇙⪍⫏≰1220022↓⫏≰2000011)=NaN","reverse_text":"NaN=(⨞⊢(⫏≰2000010⩵∡⫏≰2001211))≹⇙⪍((⫏≰2102021≚⋢)∷)≧⫂∧(⪲⇎(⫏≰11022212⫽⇹≛)≹⇙⪍⫏≰1220022↓⫏≰2000011)","cot":[{"info":"⫏≰2000010⩵∡⫏≰2001211=⫏≰-2002220","layer":3},{"info":"⨞⊢⫏≰-2002220=⫏≰1212110","layer":2},{"info":"⫏≰2102021≚⋢=⫏≰-10022","layer":3},{"info":"⫏≰-10022∷=⫏≰-100220","layer":2},{"info":"⫏≰1212110≹⇙⪍⫏≰-100220=NaN","layer":1},{"info":"⫏≰11022212⫽⇹≛=⫏≰101002","layer":3},{"info":"⫏≰1220022↓⫏≰2000011=⫏≰-11222","layer":3},{"info":"⫏≰101002≹⇙⪍⫏≰-11222=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":802,"expression_no_base_symbol":"((($2691$⊭∹↮)⫌⩉⩟$4530$⩷∴$1193$)∙∹∝($1589$⊔$2190$)∺≝⩲(⋃$3926$))↳≱($7511$⨟⋌⩍$4869$≒∊($6740$*$4806$)⇼⇔∾(≘($1301$⫌⩉⩟$1863$)))","expression":"(((⫏≰10200200⊭∹↮)⫌⩉⩟⫏≰20012210⩷∴⫏≰1122012)∙∹∝(⫏≰2011212⊔⫏≰10000010)∺≝⩲(⋃⫏≰12101102))↳≱(⫏≰101022012⨟⋌⩍⫏≰20200100≒∊(⫏≰100020122*⫏≰20121000)⇼⇔∾(≘(⫏≰1210012⫌⩉⩟⫏≰2120000)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":59564,"operation_count":14,"complexity_ratio":4254.571428571428,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2691,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4530,"base":3},"right_expr":{"type":"numeric_atoms","value":1193,"base":3}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1589,"base":3},"right_expr":{"type":"numeric_atoms","value":2190,"base":3}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3926,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7511,"base":3},"right_expr":{"type":"numeric_atoms","value":4869,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6740,"base":3},"right_expr":{"type":"numeric_atoms","value":4806,"base":3}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1301,"base":3},"right_expr":{"type":"numeric_atoms","value":1863,"base":3}}}}},"used_operators":["JwTKLfZU96","HmxsFra2vL","XIIwhv8d0m","xNBdhnnwKq","9FxExcQeMw","KPf6cnQVty","E4l6HwMY31","3mBM5G4a3l","tifHPKVTfV","5KTvxBwnZo","rGHVDoGpnC","9HNa5Wba9A","tcjXMdvYtA"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Tcnh7f0tEr","W4YGzv6Whe","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2691","layer":4},{"info":"compute unary expreesion, input=2691, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5382","layer":3},{"info":"number node, value=4530","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=4530, right_input=1193, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6642","layer":3},{"info":"compute binary expreesion, left_input=5382, right_input=6642, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1589","layer":4},{"info":"number node, value=2190","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=2190, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=11728","layer":3},{"info":"number node, value=3926","layer":4},{"info":"compute unary expreesion, input=3926, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=7954","layer":3},{"info":"compute binary expreesion, left_input=11728, right_input=7954, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=160, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=7511","layer":4},{"info":"number node, value=4869","layer":4},{"info":"compute binary expreesion, left_input=7511, right_input=4869, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6740","layer":4},{"info":"number node, value=4806","layer":4},{"info":"compute binary expreesion, left_input=6740, right_input=4806, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=32392440","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=32392440, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"number node, value=1301","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=1863, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=30494","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30494, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10200200⊭∹↮)⫌⩉⩟⫏≰20012210⩷∴⫏≰1122012)∙∹∝(⫏≰2011212⊔⫏≰10000010)∺≝⩲(⋃⫏≰12101102))↳≱(⫏≰101022012⨟⋌⩍⫏≰20200100≒∊(⫏≰100020122*⫏≰20121000)⇼⇔∾(≘(⫏≰1210012⫌⩉⩟⫏≰2120000)))=⫏≰0","reverse_text":"⫏≰0=(((⫏≰10200200⊭∹↮)⫌⩉⩟⫏≰20012210⩷∴⫏≰1122012)∙∹∝(⫏≰2011212⊔⫏≰10000010)∺≝⩲(⋃⫏≰12101102))↳≱(⫏≰101022012⨟⋌⩍⫏≰20200100≒∊(⫏≰100020122*⫏≰20121000)⇼⇔∾(≘(⫏≰1210012⫌⩉⩟⫏≰2120000)))","cot":[{"info":"⫏≰10200200⊭∹↮=⫏≰21101100","layer":3},{"info":"⫏≰20012210⩷∴⫏≰1122012=⫏≰100010000","layer":3},{"info":"⫏≰21101100⫌⩉⩟⫏≰100010000=⫏≰-1212","layer":2},{"info":"⫏≰2011212⊔⫏≰10000010=⫏≰121002101","layer":3},{"info":"⋃⫏≰12101102=⫏≰101220121","layer":3},{"info":"⫏≰121002101∺≝⩲⫏≰101220121=⫏≰12221","layer":2},{"info":"⫏≰-1212∙∹∝⫏≰12221=⫏≰0","layer":1},{"info":"⫏≰101022012⨟⋌⩍⫏≰20200100=NaN","layer":3},{"info":"⫏≰100020122*⫏≰20121000=⫏≰2020221201002000","layer":3},{"info":"NaN≒∊⫏≰2020221201002000=NaN","layer":2},{"info":"⫏≰1210012⫌⩉⩟⫏≰2120000=⫏≰-1212","layer":3},{"info":"≘⫏≰-1212=⫏≰1112211102","layer":2},{"info":"NaN⇼⇔∾⫏≰1112211102=NaN","layer":1},{"info":"⫏≰0↳≱NaN=⫏≰0","layer":0}]}
{"id":803,"expression_no_base_symbol":"(($1621$∘$5798$)⩅⪻⪻)+⪬∐(($4598$≀⩗∶$2594$)∀⇚≩(↔$5261$))⋥≓≎((⋎⨆$1569$)⩹$2161$⨚⇆$3701$)↓((⇜⊴$1433$)⩧⪆$5917$⊱⇼⊻$1809$)","expression":"((⫏≰2020001∘⫏≰21221202)⩅⪻⪻)+⪬∐((⫏≰20022022≀⩗∶⫏≰10120002)∀⇚≩(↔⫏≰21012212))⋥≓≎((⋎⨆⫏≰2011010)⩹⫏≰2222001⨚⇆⫏≰12002002)↓((⇜⊴⫏≰1222002)⩧⪆⫏≰22010011⊱⇼⊻⫏≰2111000)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21805,"operation_count":14,"complexity_ratio":1557.5,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1621,"base":3},"right_expr":{"type":"numeric_atoms","value":5798,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4598,"base":3},"right_expr":{"type":"numeric_atoms","value":2594,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5261,"base":3}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1569,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2161,"base":3},"right_expr":{"type":"numeric_atoms","value":3701,"base":3}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1433,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5917,"base":3},"right_expr":{"type":"numeric_atoms","value":1809,"base":3}}}}},"used_operators":["Qy55tPpLXF","2GS7woTJqF","kHoXpA7yos","Z5m6OM72h2","LRNGc0VcxI","8INZBEW696","ruOEQAzv1W","Af076pWI7l","2Wsdkap16l","E64sFOc4tB","lwHaAYXP2r","Ikt5ks8PT7","XwDhCwWbUn","FyVja0WsTP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eH2TOUuTDT","rysDP5nf3Z","X99M06cbEe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eewbuw0ToL","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⫏≰-2201001111201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":4},{"info":"number node, value=5798","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=5798, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3242","layer":3},{"info":"compute unary expreesion, input=3242, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-479241","layer":2},{"info":"number node, value=4598","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=4598, right_input=2594, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=5261","layer":4},{"info":"compute unary expreesion, input=5261, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4988","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4988, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-4988","layer":2},{"info":"compute binary expreesion, left_input=-479241, right_input=-4988, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1437723","layer":1},{"info":"number node, value=1569","layer":4},{"info":"compute unary expreesion, input=1569, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=3701, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, 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=nan","layer":2},{"info":"number node, value=1433","layer":4},{"info":"compute unary expreesion, input=1433, 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=-324474","layer":3},{"info":"number node, value=5917","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=5917, right_input=1809, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-324474, right_input=434, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-434","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-434, 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=1437723, right_input=-134, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1437958","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2020001∘⫏≰21221202)⩅⪻⪻)+⪬∐((⫏≰20022022≀⩗∶⫏≰10120002)∀⇚≩(↔⫏≰21012212))⋥≓≎((⋎⨆⫏≰2011010)⩹⫏≰2222001⨚⇆⫏≰12002002)↓((⇜⊴⫏≰1222002)⩧⪆⫏≰22010011⊱⇼⊻⫏≰2111000)=⫏≰-2201001111201","reverse_text":"⫏≰-2201001111201=((⫏≰2020001∘⫏≰21221202)⩅⪻⪻)+⪬∐((⫏≰20022022≀⩗∶⫏≰10120002)∀⇚≩(↔⫏≰21012212))⋥≓≎((⋎⨆⫏≰2011010)⩹⫏≰2222001⨚⇆⫏≰12002002)↓((⇜⊴⫏≰1222002)⩧⪆⫏≰22010011⊱⇼⊻⫏≰2111000)","cot":[{"info":"⫏≰2020001∘⫏≰21221202=⫏≰11110002","layer":3},{"info":"⫏≰11110002⩅⪻⪻=⫏≰-220100101200","layer":2},{"info":"⫏≰20022022≀⩗∶⫏≰10120002=⫏≰0","layer":3},{"info":"↔⫏≰21012212=⫏≰-20211202","layer":3},{"info":"⫏≰0∀⇚≩⫏≰-20211202=⫏≰-20211202","layer":2},{"info":"⫏≰-220100101200+⪬∐⫏≰-20211202=⫏≰2201001012000","layer":1},{"info":"⋎⨆⫏≰2011010=⫏≰0","layer":3},{"info":"⫏≰2222001⨚⇆⫏≰12002002=NaN","layer":3},{"info":"⫏≰0⩹NaN=NaN","layer":2},{"info":"⇜⊴⫏≰1222002=⫏≰-121111002120","layer":3},{"info":"⫏≰22010011⊱⇼⊻⫏≰2111000=⫏≰121002","layer":3},{"info":"⫏≰-121111002120⩧⪆⫏≰121002=⫏≰-121002","layer":2},{"info":"NaN↓⫏≰-121002=⫏≰-11222","layer":1},{"info":"⫏≰2201001012000⋥≓≎⫏≰-11222=⫏≰-2201001111201","layer":0}]}
{"id":804,"expression_no_base_symbol":"((⫡⇟⇯$1518$)⫩⊇)⊴($2338$↓$2061$⫲)≒∊((⫶⊄≣(⫓⪴$4047$))⊘)","expression":"((⫡⇟⇯⫏≰2002020)⫩⊇)⊴(⫏≰10012121↓⫏≰2211100⫲)≒∊((⫶⊄≣(⫓⪴⫏≰12112220))⊘)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16414356,"operation_count":9,"complexity_ratio":1823817.3333333333,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1518,"base":3}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2338,"base":3},"right_expr":{"type":"numeric_atoms","value":2061,"base":3}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4047,"base":3}}}}},"used_operators":["5KTvxBwnZo","Nsiff2A1zJ","BjRHVeLaeN","qWUSsah53b","9xnGDUPbC6","Af076pWI7l","gu96TGCTMs","wxb3vTeyAj","eLxqMNBOBk"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1518","layer":4},{"info":"compute unary expreesion, input=1518, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3904","layer":3},{"info":"compute unary expreesion, input=3904, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3862","layer":2},{"info":"number node, value=2338","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=2338, right_input=2061, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=147","layer":2},{"info":"compute binary expreesion, left_input=-3862, right_input=147, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4047","layer":4},{"info":"compute unary expreesion, input=4047, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16378209","layer":3},{"info":"compute unary expreesion, input=16378209, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫡⇟⇯⫏≰2002020)⫩⊇)⊴(⫏≰10012121↓⫏≰2211100⫲)≒∊((⫶⊄≣(⫓⪴⫏≰12112220))⊘)=NaN","reverse_text":"NaN=((⫡⇟⇯⫏≰2002020)⫩⊇)⊴(⫏≰10012121↓⫏≰2211100⫲)≒∊((⫶⊄≣(⫓⪴⫏≰12112220))⊘)","cot":[{"info":"⫡⇟⇯⫏≰2002020=⫏≰12100121","layer":3},{"info":"⫏≰12100121⫩⊇=⫏≰-12022001","layer":2},{"info":"⫏≰10012121↓⫏≰2211100=⫏≰-11222","layer":3},{"info":"⫏≰-11222⫲=⫏≰12110","layer":2},{"info":"⫏≰-12022001⊴⫏≰12110=NaN","layer":1},{"info":"⫓⪴⫏≰12112220=⫏≰1010211002200100","layer":3},{"info":"⫶⊄≣⫏≰1010211002200100=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"NaN≒∊NaN=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"(($2347$⨟⋌⩍$3910$)+⪬∐$3403$↳∿⪆$3522$⫌⩉⩟(∓⪦$2108$)⋝⋈⪟$1486$≴⪞⇿$5364$)→⨶⪴((⇈($1312$≚⊃≕$1722$))⫔⩽⩺(∓⪦$5508$)⫥∨⫟($3974$∙⊟$2838$))","expression":"((⫏≰10012221⨟⋌⩍⫏≰12100211)+⪬∐⫏≰11200001↳∿⪆⫏≰11211110⫌⩉⩟(∓⪦⫏≰2220002)⋝⋈⪟⫏≰2001001≴⪞⇿⫏≰21100200)→⨶⪴((⇈(⫏≰1210121≚⊃≕⫏≰2100210))⫔⩽⩺(∓⪦⫏≰21120000)⫥∨⫟(⫏≰12110012∙⊟⫏≰10220010))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18413,"operation_count":14,"complexity_ratio":1315.2142857142858,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2347,"base":3},"right_expr":{"type":"numeric_atoms","value":3910,"base":3}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3403,"base":3},"right_expr":{"type":"numeric_atoms","value":3522,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2108,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1486,"base":3},"right_expr":{"type":"numeric_atoms","value":5364,"base":3}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1312,"base":3},"right_expr":{"type":"numeric_atoms","value":1722,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5508,"base":3}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3974,"base":3},"right_expr":{"type":"numeric_atoms","value":2838,"base":3}}}}},"used_operators":["bF6eod5Gvf","XIIwhv8d0m","2GS7woTJqF","rGHVDoGpnC","Cw4SuJJGHO","2DDjHMKMc0","D309nIvmXG","lvlrscuwVU","i9eR4S00cU","SLLxy00UIr","Bmrmz2XGnR","KYD54nUTWz","SxTAKzQCrw"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","g55IO6H4Gj","D4vGDi5EA2","Tcnh7f0tEr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Tw270M8GLb","fu6greOZ01","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2347","layer":4},{"info":"number node, value=3910","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=3910, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3403","layer":4},{"info":"number node, value=3522","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=3522, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=2108","layer":4},{"info":"compute unary expreesion, input=2108, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1700","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=5364","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=5364, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=2942972","layer":3},{"info":"compute binary expreesion, left_input=1700, right_input=2942972, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1700","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1700, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1722, 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":3},{"info":"compute unary expreesion, input=67, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=5508","layer":4},{"info":"compute unary expreesion, input=5508, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5100","layer":3},{"info":"number node, value=3974","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=3974, right_input=2838, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=61508","layer":3},{"info":"compute binary expreesion, left_input=5100, right_input=61508, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10012221⨟⋌⩍⫏≰12100211)+⪬∐⫏≰11200001↳∿⪆⫏≰11211110⫌⩉⩟(∓⪦⫏≰2220002)⋝⋈⪟⫏≰2001001≴⪞⇿⫏≰21100200)→⨶⪴((⇈(⫏≰1210121≚⊃≕⫏≰2100210))⫔⩽⩺(∓⪦⫏≰21120000)⫥∨⫟(⫏≰12110012∙⊟⫏≰10220010))=NaN","reverse_text":"NaN=((⫏≰10012221⨟⋌⩍⫏≰12100211)+⪬∐⫏≰11200001↳∿⪆⫏≰11211110⫌⩉⩟(∓⪦⫏≰2220002)⋝⋈⪟⫏≰2001001≴⪞⇿⫏≰21100200)→⨶⪴((⇈(⫏≰1210121≚⊃≕⫏≰2100210))⫔⩽⩺(∓⪦⫏≰21120000)⫥∨⫟(⫏≰12110012∙⊟⫏≰10220010))","cot":[{"info":"⫏≰10012221⨟⋌⩍⫏≰12100211=NaN","layer":3},{"info":"⫏≰11200001↳∿⪆⫏≰11211110=NaN","layer":3},{"info":"NaN+⪬∐NaN=NaN","layer":2},{"info":"∓⪦⫏≰2220002=⫏≰2022222","layer":3},{"info":"⫏≰2001001≴⪞⇿⫏≰21100200=⫏≰12112111222222","layer":3},{"info":"⫏≰2022222⋝⋈⪟⫏≰12112111222222=⫏≰2022222","layer":2},{"info":"NaN⫌⩉⩟⫏≰2022222=⫏≰-1212","layer":1},{"info":"⫏≰1210121≚⊃≕⫏≰2100210=⫏≰2111","layer":3},{"info":"⇈⫏≰2111=⫏≰-121120","layer":2},{"info":"∓⪦⫏≰21120000=⫏≰20222220","layer":3},{"info":"⫏≰12110012∙⊟⫏≰10220010=⫏≰10010101002","layer":3},{"info":"⫏≰20222220⫥∨⫟⫏≰10010101002=NaN","layer":2},{"info":"⫏≰-121120⫔⩽⩺NaN=NaN","layer":1},{"info":"⫏≰-1212→⨶⪴NaN=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"((≪$1428$)⫲≸⪮($6575$⪷)⨑≵⋬(≔($2192$⩌⋺$1200$)))↳≱(⊁⨺((⊈$5134$)⇮⋭$3846$⪨⊡$3077$))","expression":"((≪⫏≰1221220)⫲≸⪮(⫏≰100000112⪷)⨑≵⋬(≔(⫏≰10000012⩌⋺⫏≰1122110)))↳≱(⊁⨺((⊈⫏≰21001011)⇮⋭⫏≰12021110⪨⊡⫏≰11012222))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7742,"operation_count":11,"complexity_ratio":703.8181818181819,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1428,"base":3}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":6575,"base":3}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2192,"base":3},"right_expr":{"type":"numeric_atoms","value":1200,"base":3}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":5134,"base":3}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3846,"base":3},"right_expr":{"type":"numeric_atoms","value":3077,"base":3}}}}},"used_operators":["JwTKLfZU96","XnXgA4xnOs","P3lXMJvFrc","Qtd6bqUJcN","Qctrpi3WzA","8FLs4eVsLt","g7Hmc5v1ko","PxiHyQbrIp","vkpjKywKVM","RHru8klgy8","kuIXHzHcAH"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Nsiff2A1zJ","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","12rbrZMWeM","xUOZtlo3hN","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1428","layer":4},{"info":"compute unary expreesion, input=1428, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=6575","layer":4},{"info":"compute unary expreesion, input=6575, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=913","layer":2},{"info":"number node, value=2192","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=1200, 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=-3513","layer":3},{"info":"compute unary expreesion, input=-3513, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=99658","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=99658, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-691662","layer":1},{"info":"number node, value=5134","layer":4},{"info":"compute unary expreesion, input=5134, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-5308","layer":3},{"info":"number node, value=3846","layer":4},{"info":"number node, value=3077","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=3077, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5308, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-2528","layer":1},{"info":"compute binary expreesion, left_input=-691662, right_input=-2528, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"((≪⫏≰1221220)⫲≸⪮(⫏≰100000112⪷)⨑≵⋬(≔(⫏≰10000012⩌⋺⫏≰1122110)))↳≱(⊁⨺((⊈⫏≰21001011)⇮⋭⫏≰12021110⪨⊡⫏≰11012222))=⫏≰0","reverse_text":"⫏≰0=((≪⫏≰1221220)⫲≸⪮(⫏≰100000112⪷)⨑≵⋬(≔(⫏≰10000012⩌⋺⫏≰1122110)))↳≱(⊁⨺((⊈⫏≰21001011)⇮⋭⫏≰12021110⪨⊡⫏≰11012222))","cot":[{"info":"≪⫏≰1221220=⫏≰1020211","layer":3},{"info":"⫏≰100000112⪷=NaN","layer":3},{"info":"⫏≰1020211⫲≸⪮NaN=⫏≰1020211","layer":2},{"info":"⫏≰10000012⩌⋺⫏≰1122110=⫏≰-11211010","layer":3},{"info":"≔⫏≰-11211010=⫏≰12001201001","layer":2},{"info":"⫏≰1020211⨑≵⋬⫏≰12001201001=⫏≰-1022010210010","layer":1},{"info":"⊈⫏≰21001011=⫏≰-21021121","layer":3},{"info":"⫏≰12021110⪨⊡⫏≰11012222=⫏≰0","layer":3},{"info":"⫏≰-21021121⇮⋭⫏≰0=⫏≰-122112","layer":2},{"info":"⊁⨺⫏≰-122112=⫏≰-10110122","layer":1},{"info":"⫏≰-1022010210010↳≱⫏≰-10110122=⫏≰0","layer":0}]}
{"id":807,"expression_no_base_symbol":"((($1602$⩟)⫲≸⪮($3436$↱$2007$))⫁⪎((⊈$3400$)⫑%∭))⨿(∜⨇((⨈⪑$2978$)⫣⪄⊒(∓⪦$1023$)))","expression":"(((⫏≰2012100⩟)⫲≸⪮(⫏≰11201021↱⫏≰2202100))⫁⪎((⊈⫏≰11122221)⫑%∭))⨿(∜⨇((⨈⪑⫏≰11002022)⫣⪄⊒(∓⪦⫏≰1101220)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15447,"operation_count":11,"complexity_ratio":1404.2727272727273,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1602,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3436,"base":3},"right_expr":{"type":"numeric_atoms","value":2007,"base":3}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3400,"base":3}}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":2978,"base":3}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1023,"base":3}}}}},"used_operators":["abYXlopdE0","xRrnTEsQ6j","P3lXMJvFrc","fOIeswaMU4","SR5kFfdi6N","xUx7qlDO4z","RHru8klgy8","uFPyJr306J","RabNbG55vr","mp94q5OcYM","D309nIvmXG"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","12rbrZMWeM","xUOZtlo3hN","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-13191","layer":3},{"info":"number node, value=3436","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=3436, right_input=2007, 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=-5499","layer":3},{"info":"compute binary expreesion, left_input=-13191, right_input=-5499, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=13191","layer":2},{"info":"number node, value=3400","layer":4},{"info":"compute unary expreesion, input=3400, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3574","layer":3},{"info":"compute unary expreesion, input=-3574, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13191, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"number node, value=2978","layer":4},{"info":"compute unary expreesion, input=2978, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=615","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=615, 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":2},{"info":"compute unary expreesion, input=160, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2012100⩟)⫲≸⪮(⫏≰11201021↱⫏≰2202100))⫁⪎((⊈⫏≰11122221)⫑%∭))⨿(∜⨇((⨈⪑⫏≰11002022)⫣⪄⊒(∓⪦⫏≰1101220)))=⫏≰2111","reverse_text":"⫏≰2111=(((⫏≰2012100⩟)⫲≸⪮(⫏≰11201021↱⫏≰2202100))⫁⪎((⊈⫏≰11122221)⫑%∭))⨿(∜⨇((⨈⪑⫏≰11002022)⫣⪄⊒(∓⪦⫏≰1101220)))","cot":[{"info":"⫏≰2012100⩟=⫏≰-200002120","layer":3},{"info":"⫏≰11201021↱⫏≰2202100=⫏≰-21112200","layer":3},{"info":"⫏≰-200002120⫲≸⪮⫏≰-21112200=⫏≰200002120","layer":2},{"info":"⊈⫏≰11122221=⫏≰-11220101","layer":3},{"info":"⫏≰-11220101⫑%∭=NaN","layer":2},{"info":"⫏≰200002120⫁⪎NaN=NaN","layer":1},{"info":"⨈⪑⫏≰11002022=⫏≰1012011","layer":3},{"info":"∓⪦⫏≰1101220=⫏≰211210","layer":3},{"info":"⫏≰1012011⫣⪄⊒⫏≰211210=⫏≰12221","layer":2},{"info":"∜⨇⫏≰12221=⫏≰0","layer":1},{"info":"NaN⨿⫏≰0=⫏≰2111","layer":0}]}
{"id":808,"expression_no_base_symbol":"(⊵⊁($3183$%$6012$))∠↢(($1833$⫃⨇$1600$)↑)⨒(($1185$⪒⊣⊆$2248$⫔⩽⩺$6948$⪝$1422$)⩏)","expression":"(⊵⊁(⫏≰11100220%⫏≰22020200))∠↢((⫏≰2111220⫃⨇⫏≰2012021)↑)⨒((⫏≰1121220⪒⊣⊆⫏≰10002021⫔⩽⩺⫏≰100112100⪝⫏≰1221200)⩏)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":763,"operation_count":10,"complexity_ratio":76.3,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3183,"base":3},"right_expr":{"type":"numeric_atoms","value":6012,"base":3}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1833,"base":3},"right_expr":{"type":"numeric_atoms","value":1600,"base":3}}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1185,"base":3},"right_expr":{"type":"numeric_atoms","value":2248,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6948,"base":3},"right_expr":{"type":"numeric_atoms","value":1422,"base":3}}}}},"used_operators":["y75s1iXyHd","KbjG8mgYpV","AvED76WdY7","k8jYdgA6NY","BThhyOhh10","09Ly4LVMIf","iA2gmKZ3Wj","i9eR4S00cU","eRqsBgTDFp","wicAB68Tmb"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","z6LnFrNh4i","Tcnh7f0tEr","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","W4YGzv6Whe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⫏≰1","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3183","layer":4},{"info":"number node, value=6012","layer":4},{"info":"compute binary expreesion, left_input=3183, right_input=6012, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3183","layer":3},{"info":"compute unary expreesion, input=3183, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=18028","layer":2},{"info":"number node, value=1833","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=1600, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6432","layer":3},{"info":"compute unary expreesion, input=-6432, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=18028, right_input=222, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-74138","layer":1},{"info":"number node, value=1185","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=2248, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2370","layer":3},{"info":"number node, value=6948","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=6948, right_input=1422, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-22503","layer":3},{"info":"compute binary expreesion, left_input=2370, right_input=-22503, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-74138, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":3,"result_base":3,"text":"(⊵⊁(⫏≰11100220%⫏≰22020200))∠↢((⫏≰2111220⫃⨇⫏≰2012021)↑)⨒((⫏≰1121220⪒⊣⊆⫏≰10002021⫔⩽⩺⫏≰100112100⪝⫏≰1221200)⩏)=⫏≰1","reverse_text":"⫏≰1=(⊵⊁(⫏≰11100220%⫏≰22020200))∠↢((⫏≰2111220⫃⨇⫏≰2012021)↑)⨒((⫏≰1121220⪒⊣⊆⫏≰10002021⫔⩽⩺⫏≰100112100⪝⫏≰1221200)⩏)","cot":[{"info":"⫏≰11100220%⫏≰22020200=⫏≰11100220","layer":3},{"info":"⊵⊁⫏≰11100220=⫏≰220201201","layer":2},{"info":"⫏≰2111220⫃⨇⫏≰2012021=⫏≰-22211020","layer":3},{"info":"⫏≰-22211020↑=⫏≰22020","layer":2},{"info":"⫏≰220201201∠↢⫏≰22020=⫏≰-10202200212","layer":1},{"info":"⫏≰1121220⪒⊣⊆⫏≰10002021=⫏≰10020210","layer":3},{"info":"⫏≰100112100⪝⫏≰1221200=⫏≰-1010212110","layer":3},{"info":"⫏≰10020210⫔⩽⩺⫏≰-1010212110=NaN","layer":2},{"info":"NaN⩏=⫏≰0","layer":1},{"info":"⫏≰-10202200212⨒⫏≰0=⫏≰1","layer":0}]}
{"id":809,"expression_no_base_symbol":"⩷(⨂⪏⇭$3895$≹⇙⪍$1848$)∳⫺(⋠∜$4030$)⇂≾⫗($2908$⨸⪁$2286$)","expression":"⩷(⨂⪏⇭⫏≰12100021≹⇙⪍⫏≰2112110)∳⫺(⋠∜⫏≰12112021)⇂≾⫗(⫏≰10222201⨸⪁⫏≰10010200)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":173,"operation_count":7,"complexity_ratio":24.714285714285715,"tree":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3895,"base":3},"right_expr":{"type":"numeric_atoms","value":1848,"base":3}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4030,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2908,"base":3},"right_expr":{"type":"numeric_atoms","value":2286,"base":3}}}}},"used_operators":["1h0rLqGiFr","AzXXKTstlj","AYdpE9sXAk","AHs5Up7iyr","aBQ6xLxuTc","ZJpFhNJr3x","g55IO6H4Gj"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","dWAJyo7jo9","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe"],"result":"⫏≰11011122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3895","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=1848, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":2},{"info":"number node, value=4030","layer":4},{"info":"compute unary expreesion, input=4030, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=18404","layer":3},{"info":"number node, value=2908","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=2286, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10388","layer":3},{"info":"compute binary expreesion, left_input=18404, right_input=10388, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=3041","layer":0}],"base":3,"result_base":3,"text":"⩷(⨂⪏⇭⫏≰12100021≹⇙⪍⫏≰2112110)∳⫺(⋠∜⫏≰12112021)⇂≾⫗(⫏≰10222201⨸⪁⫏≰10010200)=⫏≰11011122","reverse_text":"⫏≰11011122=⩷(⨂⪏⇭⫏≰12100021≹⇙⪍⫏≰2112110)∳⫺(⋠∜⫏≰12112021)⇂≾⫗(⫏≰10222201⨸⪁⫏≰10010200)","cot":[{"info":"⫏≰12100021≹⇙⪍⫏≰2112110=NaN","layer":3},{"info":"⨂⪏⇭NaN=NaN","layer":2},{"info":"⋠∜⫏≰12112021=⫏≰221020122","layer":3},{"info":"⫏≰10222201⨸⪁⫏≰10010200=⫏≰112020202","layer":3},{"info":"⫏≰221020122⇂≾⫗⫏≰112020202=⫏≰-221001","layer":2},{"info":"NaN∳⫺⫏≰-221001=⫏≰-100122","layer":1},{"info":"⩷⫏≰-100122=⫏≰11011122","layer":0}]}
{"id":810,"expression_no_base_symbol":"(($3047$⨸⪁$4090$)⫥∨⫟($6387$⫲⨊))≎⪠(($7527$⨝⩣∺)⋾⨃∁($3400$⪨≂$1071$))⩢≌","expression":"((⫏≰11011212⨸⪁⫏≰12121111)⫥∨⫟(⫏≰22202120⫲⨊))≎⪠((⫏≰101022210⨝⩣∺)⋾⨃∁(⫏≰11122221⪨≂⫏≰1110200))⩢≌","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19572,"operation_count":8,"complexity_ratio":2446.5,"tree":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3047,"base":3},"right_expr":{"type":"numeric_atoms","value":4090,"base":3}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":6387,"base":3}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":7527,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3400,"base":3},"right_expr":{"type":"numeric_atoms","value":1071,"base":3}}}}},"used_operators":["D617RFjZIq","aNhz54LH3e","KYD54nUTWz","g55IO6H4Gj","CArV6hThFE","212REbPD9h","ancx8kZcWl","sdazOOVcIp"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰11012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3047","layer":4},{"info":"number node, value=4090","layer":4},{"info":"compute binary expreesion, left_input=3047, right_input=4090, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14274","layer":3},{"info":"number node, value=6387","layer":4},{"info":"compute unary expreesion, input=6387, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=32718","layer":3},{"info":"compute binary expreesion, left_input=14274, right_input=32718, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=7527","layer":4},{"info":"compute unary expreesion, input=7527, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-15054","layer":3},{"info":"number node, value=3400","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=1071, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4760","layer":3},{"info":"compute binary expreesion, left_input=-15054, right_input=4760, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, 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 = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11011212⨸⪁⫏≰12121111)⫥∨⫟(⫏≰22202120⫲⨊))≎⪠((⫏≰101022210⨝⩣∺)⋾⨃∁(⫏≰11122221⪨≂⫏≰1110200))⩢≌=⫏≰11012","reverse_text":"⫏≰11012=((⫏≰11011212⨸⪁⫏≰12121111)⫥∨⫟(⫏≰22202120⫲⨊))≎⪠((⫏≰101022210⨝⩣∺)⋾⨃∁(⫏≰11122221⪨≂⫏≰1110200))⩢≌","cot":[{"info":"⫏≰11011212⨸⪁⫏≰12121111=⫏≰201120200","layer":3},{"info":"⫏≰22202120⫲⨊=⫏≰1122212210","layer":3},{"info":"⫏≰201120200⫥∨⫟⫏≰1122212210=NaN","layer":2},{"info":"⫏≰101022210⨝⩣∺=⫏≰-202122120","layer":3},{"info":"⫏≰11122221⪨≂⫏≰1110200=⫏≰20112022","layer":3},{"info":"⫏≰-202122120⋾⨃∁⫏≰20112022=⫏≰12221","layer":2},{"info":"NaN≎⪠⫏≰12221=⫏≰222211101","layer":1},{"info":"⫏≰222211101⩢≌=⫏≰11012","layer":0}]}
{"id":811,"expression_no_base_symbol":"(($4783$⫥∨⫟$1338$)⊋($2891$↙$5285$)⊭↱($3897$⪭≯$1053$)⨓$2183$≚⊃≕$3198$)≥⨤⩑($3553$⫘$4971$⪡($8759$⫔⩽⩺$5172$)⪄((∨∊⋏$5038$)∖$4990$∠↢$5494$))","expression":"((⫏≰20120011⫥∨⫟⫏≰1211120)⊋(⫏≰10222002↙⫏≰21020202)⊭↱(⫏≰12100100⪭≯⫏≰1110000)⨓⫏≰2222212≚⊃≕⫏≰11101110)≥⨤⩑(⫏≰11212121⫘⫏≰20211010⪡(⫏≰110000102⫔⩽⩺⫏≰21002120)⪄((∨∊⋏⫏≰20220121)∖⫏≰20211211∠↢⫏≰21112111))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9909,"operation_count":15,"complexity_ratio":660.6,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4783,"base":3},"right_expr":{"type":"numeric_atoms","value":1338,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2891,"base":3},"right_expr":{"type":"numeric_atoms","value":5285,"base":3}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3897,"base":3},"right_expr":{"type":"numeric_atoms","value":1053,"base":3}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2183,"base":3},"right_expr":{"type":"numeric_atoms","value":3198,"base":3}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3553,"base":3},"right_expr":{"type":"numeric_atoms","value":4971,"base":3}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":8759,"base":3},"right_expr":{"type":"numeric_atoms","value":5172,"base":3}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":5038,"base":3}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4990,"base":3},"right_expr":{"type":"numeric_atoms","value":5494,"base":3}}}}},"used_operators":["gJLn6v0xnP","COABgblf1C","W4tP9CfskL","KYD54nUTWz","yyfyN0ffXY","3ViojmjbAp","XAx5wpdLa6","Bmrmz2XGnR","SUmda5xLS4","oraRL2iQuh","48vC8HMD2b","i9eR4S00cU","tXD093vOjl","R5aXW34M0v","KbjG8mgYpV"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4783","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=4783, right_input=1338, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2891","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=5285, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15855","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15855, 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=-322554","layer":2},{"info":"number node, value=3897","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3897, right_input=1053, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=2183","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=3198, 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":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-70","layer":2},{"info":"compute binary expreesion, left_input=-322554, right_input=-70, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=644973","layer":1},{"info":"number node, value=3553","layer":4},{"info":"number node, value=4971","layer":4},{"info":"compute binary expreesion, left_input=3553, right_input=4971, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4182733","layer":3},{"info":"number node, value=8759","layer":4},{"info":"number node, value=5172","layer":4},{"info":"compute binary expreesion, left_input=8759, right_input=5172, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4182733, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"number node, value=5038","layer":4},{"info":"compute unary expreesion, input=5038, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=107711","layer":3},{"info":"number node, value=4990","layer":4},{"info":"number node, value=5494","layer":4},{"info":"compute binary expreesion, left_input=4990, right_input=5494, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-95794","layer":3},{"info":"compute binary expreesion, left_input=107711, right_input=-95794, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=644973, right_input=3979, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20120011⫥∨⫟⫏≰1211120)⊋(⫏≰10222002↙⫏≰21020202)⊭↱(⫏≰12100100⪭≯⫏≰1110000)⨓⫏≰2222212≚⊃≕⫏≰11101110)≥⨤⩑(⫏≰11212121⫘⫏≰20211010⪡(⫏≰110000102⫔⩽⩺⫏≰21002120)⪄((∨∊⋏⫏≰20220121)∖⫏≰20211211∠↢⫏≰21112111))=⫏≰1200201","reverse_text":"⫏≰1200201=((⫏≰20120011⫥∨⫟⫏≰1211120)⊋(⫏≰10222002↙⫏≰21020202)⊭↱(⫏≰12100100⪭≯⫏≰1110000)⨓⫏≰2222212≚⊃≕⫏≰11101110)≥⨤⩑(⫏≰11212121⫘⫏≰20211010⪡(⫏≰110000102⫔⩽⩺⫏≰21002120)⪄((∨∊⋏⫏≰20220121)∖⫏≰20211211∠↢⫏≰21112111))","cot":[{"info":"⫏≰20120011⫥∨⫟⫏≰1211120=NaN","layer":3},{"info":"⫏≰10222002↙⫏≰21020202=⫏≰-210202020","layer":3},{"info":"NaN⊋⫏≰-210202020=⫏≰-121101110110","layer":2},{"info":"⫏≰12100100⪭≯⫏≰1110000=NaN","layer":3},{"info":"⫏≰2222212≚⊃≕⫏≰11101110=⫏≰2111","layer":3},{"info":"NaN⨓⫏≰2111=⫏≰-2121","layer":2},{"info":"⫏≰-121101110110⊭↱⫏≰-2121=⫏≰1012202201220","layer":1},{"info":"⫏≰11212121⫘⫏≰20211010=⫏≰21212111122001","layer":3},{"info":"⫏≰110000102⫔⩽⩺⫏≰21002120=NaN","layer":3},{"info":"⫏≰21212111122001⪡NaN=NaN","layer":2},{"info":"∨∊⋏⫏≰20220121=⫏≰12110202022","layer":3},{"info":"⫏≰20211211∠↢⫏≰21112111=⫏≰-11212101221","layer":3},{"info":"⫏≰12110202022∖⫏≰-11212101221=⫏≰0","layer":2},{"info":"NaN⪄⫏≰0=⫏≰12110101","layer":1},{"info":"⫏≰1012202201220≥⨤⩑⫏≰12110101=⫏≰1200201","layer":0}]}
{"id":812,"expression_no_base_symbol":"(⨞⊢(⋂$3960$⪮%⊝$3426$))⩒⫫((⊙↵-$1309$)⩭)⊲⩕⊾($3835$≳⇉$5418$+$1025$⋥⋵⩄$3023$)","expression":"(⨞⊢(⋂⫏≰12102200⪮%⊝⫏≰11200220))⩒⫫((⊙↵-⫏≰1210111)⩭)⊲⩕⊾(⫏≰12021001≳⇉⫏≰21102200+⫏≰1101222⋥⋵⩄⫏≰11010222)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5228535,"operation_count":10,"complexity_ratio":522853.5,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3960,"base":3},"right_expr":{"type":"numeric_atoms","value":3426,"base":3}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1309,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3835,"base":3},"right_expr":{"type":"numeric_atoms","value":5418,"base":3}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1025,"base":3},"right_expr":{"type":"numeric_atoms","value":3023,"base":3}}}}},"used_operators":["KFSx94NKJn","xUOZtlo3hN","BUOGQAYlQx","IWmyXbctLI","DmTXOeWf9t","yIPP7u6H5x","oWn0xqSxBt","W4YGzv6Whe","V0kx6qeWkN","7t3wd0Fuz7"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3960","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=3426, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8236","layer":3},{"info":"compute unary expreesion, input=8236, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-114708","layer":2},{"info":"compute unary expreesion, input=-114708, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=114534","layer":1},{"info":"number node, value=1309","layer":4},{"info":"compute unary expreesion, input=1309, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":2},{"info":"number node, value=3835","layer":4},{"info":"number node, value=5418","layer":4},{"info":"compute binary expreesion, left_input=3835, right_input=5418, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=3023","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=3023, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=114534, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨞⊢(⋂⫏≰12102200⪮%⊝⫏≰11200220))⩒⫫((⊙↵-⫏≰1210111)⩭)⊲⩕⊾(⫏≰12021001≳⇉⫏≰21102200+⫏≰1101222⋥⋵⩄⫏≰11010222)=NaN","reverse_text":"NaN=(⨞⊢(⋂⫏≰12102200⪮%⊝⫏≰11200220))⩒⫫((⊙↵-⫏≰1210111)⩭)⊲⩕⊾(⫏≰12021001≳⇉⫏≰21102200+⫏≰1101222⋥⋵⩄⫏≰11010222)","cot":[{"info":"⫏≰12102200⪮%⊝⫏≰11200220=⫏≰102022001","layer":3},{"info":"⋂⫏≰102022001=⫏≰-12211100110","layer":2},{"info":"⨞⊢⫏≰-12211100110=⫏≰12211010000","layer":1},{"info":"⊙↵-⫏≰1210111=⫏≰-1","layer":3},{"info":"⫏≰-1⩭=⫏≰121200","layer":2},{"info":"⫏≰12021001≳⇉⫏≰21102200=NaN","layer":3},{"info":"⫏≰1101222⋥⋵⩄⫏≰11010222=⫏≰11012","layer":3},{"info":"NaN+⫏≰11012=NaN","layer":2},{"info":"⫏≰121200⊲⩕⊾NaN=NaN","layer":1},{"info":"⫏≰12211010000⩒⫫NaN=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"⊿($4589$⨽∌$2000$≒∊$3329$≴⪞⇿$1420$⊪)","expression":"⊿(⫏≰20021222⨽∌⫏≰2202002≒∊⫏≰11120022≴⪞⇿⫏≰1221121⊪)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3211,"operation_count":5,"complexity_ratio":642.2,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4589,"base":3},"right_expr":{"type":"numeric_atoms","value":2000,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3329,"base":3},"right_expr":{"type":"numeric_atoms","value":1420,"base":3}}}}},"used_operators":["DO4fhlbJSI","zVYPLywUTj","5KTvxBwnZo","9samAPKr6k","lvlrscuwVU"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"⫏≰-1000100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4589","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=2000, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3329","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=3329, right_input=1420, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=18678506","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=18678506, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":2},{"info":"compute unary expreesion, input=484, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-738","layer":0}],"base":3,"result_base":3,"text":"⊿(⫏≰20021222⨽∌⫏≰2202002≒∊⫏≰11120022≴⪞⇿⫏≰1221121⊪)=⫏≰-1000100","reverse_text":"⫏≰-1000100=⊿(⫏≰20021222⨽∌⫏≰2202002≒∊⫏≰11120022≴⪞⇿⫏≰1221121⊪)","cot":[{"info":"⫏≰20021222⨽∌⫏≰2202002=⫏≰0","layer":3},{"info":"⫏≰11120022≴⪞⇿⫏≰1221121=⫏≰1022010222002112","layer":3},{"info":"⫏≰0≒∊⫏≰1022010222002112=⫏≰122221","layer":2},{"info":"⫏≰122221⊪=⫏≰0","layer":1},{"info":"⊿⫏≰0=⫏≰-1000100","layer":0}]}
{"id":814,"expression_no_base_symbol":"(⩪∧⨌$1486$⨼⩣$1193$)⫁($4785$≎⪠$3093$⋆⋳)↓(($7780$↞⋁$1501$⊨($2421$⋅⇍$1683$))∈)","expression":"(⩪∧⨌⫏≰2001001⨼⩣⫏≰1122012)⫁(⫏≰20120020≎⪠⫏≰11020120⋆⋳)↓((⫏≰101200011↞⋁⫏≰2001121⊨(⫏≰10022200⋅⇍⫏≰2022100))∈)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":137498,"operation_count":10,"complexity_ratio":13749.8,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1486,"base":3},"right_expr":{"type":"numeric_atoms","value":1193,"base":3}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4785,"base":3},"right_expr":{"type":"numeric_atoms","value":3093,"base":3}}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":7780,"base":3},"right_expr":{"type":"numeric_atoms","value":1501,"base":3}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2421,"base":3},"right_expr":{"type":"numeric_atoms","value":1683,"base":3}}}}},"used_operators":["Af076pWI7l","0ajvFaJAv0","6iOiAJX1F8","JxwMv5le6e","6MpZysEj17","aNhz54LH3e","ztP7wcbY7m","vg4gO5BX6G","RqrPlJkxDo","AdZkA7nFnk"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1486","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=1193, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=nan","layer":2},{"info":"number node, value=4785","layer":4},{"info":"number node, value=3093","layer":4},{"info":"compute binary expreesion, left_input=4785, right_input=3093, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-39148","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-39148, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=7780","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=7780, right_input=1501, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2421","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=1683, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":3,"result_base":3,"text":"(⩪∧⨌⫏≰2001001⨼⩣⫏≰1122012)⫁(⫏≰20120020≎⪠⫏≰11020120⋆⋳)↓((⫏≰101200011↞⋁⫏≰2001121⊨(⫏≰10022200⋅⇍⫏≰2022100))∈)=⫏≰-11222","reverse_text":"⫏≰-11222=(⩪∧⨌⫏≰2001001⨼⩣⫏≰1122012)⫁(⫏≰20120020≎⪠⫏≰11020120⋆⋳)↓((⫏≰101200011↞⋁⫏≰2001121⊨(⫏≰10022200⋅⇍⫏≰2022100))∈)","cot":[{"info":"⫏≰2001001⨼⩣⫏≰1122012=NaN","layer":3},{"info":"⩪∧⨌NaN=NaN","layer":2},{"info":"⫏≰20120020≎⪠⫏≰11020120=⫏≰222211101","layer":3},{"info":"⫏≰222211101⋆⋳=⫏≰-1222200221","layer":2},{"info":"NaN⫁⫏≰-1222200221=⫏≰12221","layer":1},{"info":"⫏≰101200011↞⋁⫏≰2001121=NaN","layer":3},{"info":"⫏≰10022200⋅⇍⫏≰2022100=⫏≰-211","layer":3},{"info":"NaN⊨⫏≰-211=NaN","layer":2},{"info":"NaN∈=NaN","layer":1},{"info":"⫏≰12221↓NaN=⫏≰-11222","layer":0}]}
{"id":815,"expression_no_base_symbol":"(($2670$↳∿⪆$8253$)⫘($1551$≠≀$2044$)⊨(≉$1279$⪥$1444$))∳⫺(($1570$⨸⪁$6443$)≥⨤⩑$2994$∣$1753$⋻⩜⩜(≋($1180$≚⋢)))","expression":"((⫏≰10122220↳∿⪆⫏≰102022200)⫘(⫏≰2010110≠≀⫏≰2210201)⊨(≉⫏≰1202101⪥⫏≰1222111))∳⫺((⫏≰2011011⨸⪁⫏≰22211122)≥⨤⩑⫏≰11002220∣⫏≰2101221⋻⩜⩜(≋(⫏≰1121201≚⋢)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4057,"operation_count":13,"complexity_ratio":312.0769230769231,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2670,"base":3},"right_expr":{"type":"numeric_atoms","value":8253,"base":3}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1551,"base":3},"right_expr":{"type":"numeric_atoms","value":2044,"base":3}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1279,"base":3},"right_expr":{"type":"numeric_atoms","value":1444,"base":3}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1570,"base":3},"right_expr":{"type":"numeric_atoms","value":6443,"base":3}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2994,"base":3},"right_expr":{"type":"numeric_atoms","value":1753,"base":3}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1180,"base":3}}}}},"used_operators":["AzXXKTstlj","vg4gO5BX6G","48vC8HMD2b","Cw4SuJJGHO","IwW236VD4Y","e1ybzncUwg","QbnwKVWMIQ","oDCm7WA9JY","gJLn6v0xnP","g55IO6H4Gj","PPChnnnBFF","61wBmkZwlr","MahUMFw56D"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","3ViojmjbAp"],"result":"⫏≰-100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2670","layer":4},{"info":"number node, value=8253","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=8253, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1551","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=2044, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2796","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2796, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"number node, value=1279","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=1444, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9768","layer":3},{"info":"compute unary expreesion, input=9768, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=10299","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10299, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"number node, value=1570","layer":4},{"info":"number node, value=6443","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=6443, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16026","layer":3},{"info":"number node, value=2994","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=2994, right_input=1753, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2994","layer":3},{"info":"compute binary expreesion, left_input=16026, right_input=2994, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-89","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-89, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2468","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2468, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10122220↳∿⪆⫏≰102022200)⫘(⫏≰2010110≠≀⫏≰2210201)⊨(≉⫏≰1202101⪥⫏≰1222111))∳⫺((⫏≰2011011⨸⪁⫏≰22211122)≥⨤⩑⫏≰11002220∣⫏≰2101221⋻⩜⩜(≋(⫏≰1121201≚⋢)))=⫏≰-100122","reverse_text":"⫏≰-100122=((⫏≰10122220↳∿⪆⫏≰102022200)⫘(⫏≰2010110≠≀⫏≰2210201)⊨(≉⫏≰1202101⪥⫏≰1222111))∳⫺((⫏≰2011011⨸⪁⫏≰22211122)≥⨤⩑⫏≰11002220∣⫏≰2101221⋻⩜⩜(≋(⫏≰1121201≚⋢)))","cot":[{"info":"⫏≰10122220↳∿⪆⫏≰102022200=NaN","layer":3},{"info":"⫏≰2010110≠≀⫏≰2210201=⫏≰-10211120","layer":3},{"info":"NaN⫘⫏≰-10211120=NaN","layer":2},{"info":"⫏≰1202101⪥⫏≰1222111=⫏≰111101210","layer":3},{"info":"≉⫏≰111101210=⫏≰112010110","layer":2},{"info":"NaN⊨⫏≰112010110=NaN","layer":1},{"info":"⫏≰2011011⨸⪁⫏≰22211122=⫏≰210222120","layer":3},{"info":"⫏≰11002220∣⫏≰2101221=⫏≰11002220","layer":3},{"info":"⫏≰210222120≥⨤⩑⫏≰11002220=⫏≰1200201","layer":2},{"info":"⫏≰1121201≚⋢=⫏≰-10022","layer":3},{"info":"≋⫏≰-10022=⫏≰-10022","layer":2},{"info":"⫏≰1200201⋻⩜⩜⫏≰-10022=⫏≰10101102","layer":1},{"info":"NaN∳⫺⫏≰10101102=⫏≰-100122","layer":0}]}
{"id":816,"expression_no_base_symbol":"(($2457$⪢$4611$⫔⩽⩺$6112$⊹∫⫚$2002$)⊋≦⊧($1871$⇤$2246$⪣⫩))⨲∙","expression":"((⫏≰10101000⪢⫏≰20022210⫔⩽⩺⫏≰22101101⊹∫⫚⫏≰2202011)⊋≦⊧(⫏≰2120022⇤⫏≰10002012⪣⫩))⨲∙","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":103700,"operation_count":7,"complexity_ratio":14814.285714285714,"tree":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2457,"base":3},"right_expr":{"type":"numeric_atoms","value":4611,"base":3}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6112,"base":3},"right_expr":{"type":"numeric_atoms","value":2002,"base":3}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1871,"base":3},"right_expr":{"type":"numeric_atoms","value":2246,"base":3}}}}},"used_operators":["cRahaglYVE","oRDoc9rAEX","i9eR4S00cU","dWAJyo7jo9","uWAJUKEvyW","iuk5sVOGFA","YSKBFp38Pu"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Tw270M8GLb","fu6greOZ01","k8jYdgA6NY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2457","layer":4},{"info":"number node, value=4611","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=4611, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6112","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=6112, right_input=2002, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-308, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1871","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=2246, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-17737","layer":3},{"info":"compute unary expreesion, input=-17737, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=913, 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":1},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10101000⪢⫏≰20022210⫔⩽⩺⫏≰22101101⊹∫⫚⫏≰2202011)⊋≦⊧(⫏≰2120022⇤⫏≰10002012⪣⫩))⨲∙=NaN","reverse_text":"NaN=((⫏≰10101000⪢⫏≰20022210⫔⩽⩺⫏≰22101101⊹∫⫚⫏≰2202011)⊋≦⊧(⫏≰2120022⇤⫏≰10002012⪣⫩))⨲∙","cot":[{"info":"⫏≰10101000⪢⫏≰20022210=NaN","layer":3},{"info":"⫏≰22101101⊹∫⫚⫏≰2202011=⫏≰-102102","layer":3},{"info":"NaN⫔⩽⩺⫏≰-102102=NaN","layer":2},{"info":"⫏≰2120022⇤⫏≰10002012=⫏≰-220022221","layer":3},{"info":"⫏≰-220022221⪣⫩=⫏≰1020211","layer":2},{"info":"NaN⊋≦⊧⫏≰1020211=NaN","layer":1},{"info":"NaN⨲∙=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"(⊗($2026$↛⩡⫤))≁(⊖(⊙↵-$1130$))⋥≓≎(($3668$⊾⪯⋞$3694$)⨭⪣$1471$⊬⨰$1609$)∘($4971$∛$2021$)∴($2451$⫸⇳$1519$)","expression":"(⊗(⫏≰2210001↛⩡⫤))≁(⊖(⊙↵-⫏≰1112212))⋥≓≎((⫏≰12000212⊾⪯⋞⫏≰12001211)⨭⪣⫏≰2000111⊬⨰⫏≰2012121)∘(⫏≰20211010∛⫏≰2202212)∴(⫏≰10100210⫸⇳⫏≰2002021)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7718,"operation_count":13,"complexity_ratio":593.6923076923077,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2026,"base":3}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1130,"base":3}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3668,"base":3},"right_expr":{"type":"numeric_atoms","value":3694,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1471,"base":3},"right_expr":{"type":"numeric_atoms","value":1609,"base":3}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4971,"base":3},"right_expr":{"type":"numeric_atoms","value":2021,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2451,"base":3},"right_expr":{"type":"numeric_atoms","value":1519,"base":3}}}}},"used_operators":["Qy55tPpLXF","8N2wDY1A35","RhiyfpczSx","FU0Cs4j7VP","U6pG0PXrV3","oWn0xqSxBt","Z5m6OM72h2","kn8WO9XteQ","HK0tfVPux8","s3Fd5m9Dh2","hrf7POJlIJ","w2537kitQq","gx7XJ7hdpj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eH2TOUuTDT","rysDP5nf3Z","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2026","layer":4},{"info":"compute unary expreesion, input=2026, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-302015","layer":3},{"info":"compute unary expreesion, input=-302015, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=604030","layer":2},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=3","layer":2},{"info":"compute binary expreesion, left_input=604030, right_input=3, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8713","layer":1},{"info":"number node, value=3668","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=3668, right_input=3694, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6962","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=1609, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6851","layer":3},{"info":"compute binary expreesion, left_input=6962, right_input=6851, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5683","layer":2},{"info":"number node, value=4971","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=4971, right_input=2021, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2451","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=1519, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=308","layer":2},{"info":"compute binary expreesion, left_input=5683, right_input=308, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-5303","layer":1},{"info":"compute binary expreesion, left_input=-8713, right_input=-5303, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⊗(⫏≰2210001↛⩡⫤))≁(⊖(⊙↵-⫏≰1112212))⋥≓≎((⫏≰12000212⊾⪯⋞⫏≰12001211)⨭⪣⫏≰2000111⊬⨰⫏≰2012121)∘(⫏≰20211010∛⫏≰2202212)∴(⫏≰10100210⫸⇳⫏≰2002021)=⫏≰2111","reverse_text":"⫏≰2111=(⊗(⫏≰2210001↛⩡⫤))≁(⊖(⊙↵-⫏≰1112212))⋥≓≎((⫏≰12000212⊾⪯⋞⫏≰12001211)⨭⪣⫏≰2000111⊬⨰⫏≰2012121)∘(⫏≰20211010∛⫏≰2202212)∴(⫏≰10100210⫸⇳⫏≰2002021)","cot":[{"info":"⫏≰2210001↛⩡⫤=⫏≰-120100021202","layer":3},{"info":"⊗⫏≰-120100021202=⫏≰1010200120111","layer":2},{"info":"⊙↵-⫏≰1112212=⫏≰-1","layer":3},{"info":"⊖⫏≰-1=⫏≰10","layer":2},{"info":"⫏≰1010200120111≁⫏≰10=⫏≰-102221201","layer":1},{"info":"⫏≰12000212⊾⪯⋞⫏≰12001211=⫏≰100112212","layer":3},{"info":"⫏≰2000111⊬⨰⫏≰2012121=⫏≰100101202","layer":3},{"info":"⫏≰100112212⨭⪣⫏≰100101202=⫏≰21210111","layer":2},{"info":"⫏≰20211010∛⫏≰2202212=⫏≰-220211","layer":3},{"info":"⫏≰10100210⫸⇳⫏≰2002021=⫏≰0","layer":3},{"info":"⫏≰-220211∴⫏≰0=⫏≰102102","layer":2},{"info":"⫏≰21210111∘⫏≰102102=⫏≰-21021102","layer":1},{"info":"⫏≰-102221201⋥≓≎⫏≰-21021102=⫏≰2111","layer":0}]}
{"id":818,"expression_no_base_symbol":"((⫵↿($1209$⋅⇍$1077$))⪨≂(⫎≠⋺$1095$⨔⇊$2922$))↞⋁(⇤←(⇖⫷⫕$1117$⊱⇼⊻$1203$))","expression":"((⫵↿(⫏≰1122210⋅⇍⫏≰1110220))⪨≂(⫎≠⋺⫏≰1111120⨔⇊⫏≰11000020))↞⋁(⇤←(⇖⫷⫕⫏≰1112101⊱⇼⊻⫏≰1122120))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":823,"operation_count":9,"complexity_ratio":91.44444444444444,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1209,"base":3},"right_expr":{"type":"numeric_atoms","value":1077,"base":3}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1095,"base":3},"right_expr":{"type":"numeric_atoms","value":2922,"base":3}}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1117,"base":3},"right_expr":{"type":"numeric_atoms","value":1203,"base":3}}}}},"used_operators":["RqrPlJkxDo","sdazOOVcIp","ivGwdmUAux","AdZkA7nFnk","LYeZOJ0nQG","JclMnS0uGI","jfAgQ2OQeM","UHmRx3INFg","FyVja0WsTP"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⫏≰111221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1077, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=2922, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2922","layer":3},{"info":"compute unary expreesion, input=2922, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=376","layer":1},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1203, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-12744","layer":1},{"info":"compute binary expreesion, left_input=376, right_input=-12744, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=376","layer":0}],"base":3,"result_base":3,"text":"((⫵↿(⫏≰1122210⋅⇍⫏≰1110220))⪨≂(⫎≠⋺⫏≰1111120⨔⇊⫏≰11000020))↞⋁(⇤←(⇖⫷⫕⫏≰1112101⊱⇼⊻⫏≰1122120))=⫏≰111221","reverse_text":"⫏≰111221=((⫵↿(⫏≰1122210⋅⇍⫏≰1110220))⪨≂(⫎≠⋺⫏≰1111120⨔⇊⫏≰11000020))↞⋁(⇤←(⇖⫷⫕⫏≰1112101⊱⇼⊻⫏≰1122120))","cot":[{"info":"⫏≰1122210⋅⇍⫏≰1110220=⫏≰-211","layer":3},{"info":"⫵↿⫏≰-211=⫏≰12002","layer":2},{"info":"⫏≰1111120⨔⇊⫏≰11000020=⫏≰11000020","layer":3},{"info":"⫎≠⋺⫏≰11000020=⫏≰0","layer":2},{"info":"⫏≰12002⪨≂⫏≰0=⫏≰111221","layer":1},{"info":"⫏≰1112101⊱⇼⊻⫏≰1122120=⫏≰121002","layer":3},{"info":"⇖⫷⫕⫏≰121002=⫏≰10212112","layer":2},{"info":"⇤←⫏≰10212112=⫏≰-122111000","layer":1},{"info":"⫏≰111221↞⋁⫏≰-122111000=⫏≰111221","layer":0}]}
{"id":819,"expression_no_base_symbol":"((⩏⊷≩$6328$)↡⊰⫅$3096$⊔$1371$)⫁⪎((⇋↷$1110$)↱$1630$⫸⇳$1538$)*(($8668$⨑≵⋬$3273$)⪮%⊝($8470$⇗⋫))⫉⨲⊜($7686$≴⪞⇿$6073$⋛($7963$⨪↰⇹$4391$))","expression":"((⩏⊷≩⫏≰22200101)↡⊰⫅⫏≰11020200⊔⫏≰1212210)⫁⪎((⇋↷⫏≰1112010)↱⫏≰2020101⫸⇳⫏≰2002222)*((⫏≰102220001⨑≵⋬⫏≰11111020)⪮%⊝(⫏≰102121201⇗⋫))⫉⨲⊜(⫏≰101112200≴⪞⇿⫏≰22022221⋛(⫏≰101220221⨪↰⇹⫏≰20000122))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":164897,"operation_count":15,"complexity_ratio":10993.133333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":6328,"base":3}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3096,"base":3},"right_expr":{"type":"numeric_atoms","value":1371,"base":3}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1110,"base":3}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1630,"base":3},"right_expr":{"type":"numeric_atoms","value":1538,"base":3}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":8668,"base":3},"right_expr":{"type":"numeric_atoms","value":3273,"base":3}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":8470,"base":3}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":7686,"base":3},"right_expr":{"type":"numeric_atoms","value":6073,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7963,"base":3},"right_expr":{"type":"numeric_atoms","value":4391,"base":3}}}}},"used_operators":["9HNa5Wba9A","xRrnTEsQ6j","VCtxkLNOzz","uOZ1tnYMDE","E4l6HwMY31","SR5kFfdi6N","SWo3A1KBJH","gx7XJ7hdpj","WhqkvtTD3t","IWmyXbctLI","XnXgA4xnOs","hpqmaQFPrd","YbUVn0Rbpy","lvlrscuwVU","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","23Mk6UjR3U","12rbrZMWeM","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rxpJgHHUmx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6328","layer":4},{"info":"compute unary expreesion, input=6328, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=12355","layer":3},{"info":"number node, value=3096","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3096, right_input=1371, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=10647","layer":3},{"info":"compute binary expreesion, left_input=12355, right_input=10647, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=21294","layer":2},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=8880","layer":3},{"info":"number node, value=1630","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=1538, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8880, 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":2},{"info":"compute binary expreesion, left_input=21294, right_input=15670, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5624","layer":1},{"info":"number node, value=8668","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=8668, right_input=3273, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=21808","layer":3},{"info":"number node, value=8470","layer":4},{"info":"compute unary expreesion, input=8470, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=21808, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=7686","layer":4},{"info":"number node, value=6073","layer":4},{"info":"compute binary expreesion, left_input=7686, right_input=6073, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=109905372","layer":3},{"info":"number node, value=7963","layer":4},{"info":"number node, value=4391","layer":4},{"info":"compute binary expreesion, left_input=7963, right_input=4391, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7963","layer":3},{"info":"compute binary expreesion, left_input=109905372, right_input=7963, 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=989016156","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=989016156, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5624, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⩏⊷≩⫏≰22200101)↡⊰⫅⫏≰11020200⊔⫏≰1212210)⫁⪎((⇋↷⫏≰1112010)↱⫏≰2020101⫸⇳⫏≰2002222)*((⫏≰102220001⨑≵⋬⫏≰11111020)⪮%⊝(⫏≰102121201⇗⋫))⫉⨲⊜(⫏≰101112200≴⪞⇿⫏≰22022221⋛(⫏≰101220221⨪↰⇹⫏≰20000122))=NaN","reverse_text":"NaN=((⩏⊷≩⫏≰22200101)↡⊰⫅⫏≰11020200⊔⫏≰1212210)⫁⪎((⇋↷⫏≰1112010)↱⫏≰2020101⫸⇳⫏≰2002222)*((⫏≰102220001⨑≵⋬⫏≰11111020)⪮%⊝(⫏≰102121201⇗⋫))⫉⨲⊜(⫏≰101112200≴⪞⇿⫏≰22022221⋛(⫏≰101220221⨪↰⇹⫏≰20000122))","cot":[{"info":"⩏⊷≩⫏≰22200101=⫏≰121221121","layer":3},{"info":"⫏≰11020200⊔⫏≰1212210=⫏≰112121100","layer":3},{"info":"⫏≰121221121↡⊰⫅⫏≰112121100=⫏≰1002012200","layer":2},{"info":"⇋↷⫏≰1112010=⫏≰110011220","layer":3},{"info":"⫏≰2020101⫸⇳⫏≰2002222=⫏≰0","layer":3},{"info":"⫏≰110011220↱⫏≰0=⫏≰210111101","layer":2},{"info":"⫏≰1002012200⫁⪎⫏≰210111101=⫏≰21201022","layer":1},{"info":"⫏≰102220001⨑≵⋬⫏≰11111020=⫏≰1002220201","layer":3},{"info":"⫏≰102121201⇗⋫=NaN","layer":3},{"info":"⫏≰1002220201⪮%⊝NaN=NaN","layer":2},{"info":"⫏≰101112200≴⪞⇿⫏≰22022221=⫏≰21122210202211100","layer":3},{"info":"⫏≰101220221⨪↰⇹⫏≰20000122=⫏≰101220221","layer":3},{"info":"⫏≰21122210202211100⋛⫏≰101220221=⫏≰2112221000020010000","layer":2},{"info":"NaN⫉⨲⊜⫏≰2112221000020010000=NaN","layer":1},{"info":"⫏≰21201022*NaN=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"(($3193$⨔≚≋$1192$)⨼⩣(⊄⩳↩$1144$)⫸⊐$1096$⪨⊡$1940$⪉⨛$3568$⋾⨃∁$4851$)∌((⩪∧⨌$2047$)≑≱⪘)⫗⊷⫓((↑$6103$)⫯⪬∳(⨈⪑$7925$))","expression":"((⫏≰11101021⨔≚≋⫏≰1122011)⨼⩣(⊄⩳↩⫏≰1120101)⫸⊐⫏≰1111121⪨⊡⫏≰2122212⪉⨛⫏≰11220011⋾⨃∁⫏≰20122200)∌((⩪∧⨌⫏≰2210211)≑≱⪘)⫗⊷⫓((↑⫏≰22101001)⫯⪬∳(⨈⪑⫏≰101212112))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":112201,"operation_count":14,"complexity_ratio":8014.357142857143,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3193,"base":3},"right_expr":{"type":"numeric_atoms","value":1192,"base":3}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1144,"base":3}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1096,"base":3},"right_expr":{"type":"numeric_atoms","value":1940,"base":3}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3568,"base":3},"right_expr":{"type":"numeric_atoms","value":4851,"base":3}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2047,"base":3}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":6103,"base":3}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":7925,"base":3}}}}},"used_operators":["8cLx32lpNA","mqXw5SEYmG","JxwMv5le6e","Z57zeUYC9z","8w2t5hMYqp","EWw2JM7wp4","kuIXHzHcAH","212REbPD9h","zashukvMKz","tGSeddj7UK","6iOiAJX1F8","d7ASUq0ydm","tR7O2zTn5j","mp94q5OcYM"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"⫏≰11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3193","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=1192, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3432","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-3432, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1940, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3568","layer":4},{"info":"number node, value=4851","layer":4},{"info":"compute binary expreesion, left_input=3568, right_input=4851, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=235263704","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=235263704, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-705790897","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-705790897, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=2047","layer":4},{"info":"compute unary expreesion, input=2047, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=20470","layer":3},{"info":"compute unary expreesion, input=20470, 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=528585","layer":2},{"info":"number node, value=6103","layer":4},{"info":"compute unary expreesion, input=6103, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=7925","layer":4},{"info":"compute unary expreesion, input=7925, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=868, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=125","layer":2},{"info":"compute binary expreesion, left_input=528585, right_input=125, 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 = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=134","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11101021⨔≚≋⫏≰1122011)⨼⩣(⊄⩳↩⫏≰1120101)⫸⊐⫏≰1111121⪨⊡⫏≰2122212⪉⨛⫏≰11220011⋾⨃∁⫏≰20122200)∌((⩪∧⨌⫏≰2210211)≑≱⪘)⫗⊷⫓((↑⫏≰22101001)⫯⪬∳(⨈⪑⫏≰101212112))=⫏≰11222","reverse_text":"⫏≰11222=((⫏≰11101021⨔≚≋⫏≰1122011)⨼⩣(⊄⩳↩⫏≰1120101)⫸⊐⫏≰1111121⪨⊡⫏≰2122212⪉⨛⫏≰11220011⋾⨃∁⫏≰20122200)∌((⩪∧⨌⫏≰2210211)≑≱⪘)⫗⊷⫓((↑⫏≰22101001)⫯⪬∳(⨈⪑⫏≰101212112))","cot":[{"info":"⫏≰11101021⨔≚≋⫏≰1122011=⫏≰111112122","layer":3},{"info":"⊄⩳↩⫏≰1120101=⫏≰-11201010","layer":3},{"info":"⫏≰111112122⨼⩣⫏≰-11201010=NaN","layer":2},{"info":"⫏≰1111121⪨⊡⫏≰2122212=⫏≰0","layer":3},{"info":"⫏≰11220011⋾⨃∁⫏≰20122200=⫏≰121101200122010112","layer":3},{"info":"⫏≰0⪉⨛⫏≰121101200122010112=⫏≰-1211012001220002121","layer":2},{"info":"NaN⫸⊐⫏≰-1211012001220002121=NaN","layer":1},{"info":"⩪∧⨌⫏≰2210211=⫏≰1001002011","layer":3},{"info":"⫏≰1001002011≑≱⪘=⫏≰222212002020","layer":2},{"info":"↑⫏≰22101001=⫏≰21010","layer":3},{"info":"⨈⪑⫏≰101212112=⫏≰1012011","layer":3},{"info":"⫏≰21010⫯⪬∳⫏≰1012011=⫏≰11122","layer":2},{"info":"⫏≰222212002020⫗⊷⫓⫏≰11122=⫏≰-11222","layer":1},{"info":"NaN∌⫏≰-11222=⫏≰11222","layer":0}]}
{"id":821,"expression_no_base_symbol":"↨((↥≼⋛($3612$⊦⊿))≑≱⪘)","expression":"↨((↥≼⋛(⫏≰11221210⊦⊿))≑≱⪘)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":292,"operation_count":4,"complexity_ratio":73.0,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3612,"base":3}}}}},"used_operators":["jiX4gk2v2Q","tGSeddj7UK","x5lMkHmzsq","14qkJME0vr"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3612","layer":4},{"info":"compute unary expreesion, input=3612, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10915","layer":3},{"info":"compute unary expreesion, input=-10915, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-10882","layer":2},{"info":"compute unary expreesion, input=-10882, 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=288042","layer":1},{"info":"compute unary expreesion, input=288042, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↨((↥≼⋛(⫏≰11221210⊦⊿))≑≱⪘)=NaN","reverse_text":"NaN=↨((↥≼⋛(⫏≰11221210⊦⊿))≑≱⪘)","cot":[{"info":"⫏≰11221210⊦⊿=⫏≰-112222021","layer":3},{"info":"↥≼⋛⫏≰-112222021=⫏≰-112221001","layer":2},{"info":"⫏≰-112221001≑≱⪘=⫏≰112122010020","layer":1},{"info":"↨⫏≰112122010020=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"($1741$⊉≛↸$4582$)⪟⇏(∂$7874$)⊹∫⫚($2992$⇄$5559$⋭≵($1049$⊅))⊍⩺⋍((($9207$*$4621$)≬⇓$3487$≨$2084$)⨱∎)","expression":"(⫏≰2101111⊉≛↸⫏≰20021201)⪟⇏(∂⫏≰101210122)⊹∫⫚(⫏≰11002211⇄⫏≰21121220⋭≵(⫏≰1102212⊅))⊍⩺⋍(((⫏≰110122000*⫏≰20100011)≬⇓⫏≰11210011≨⫏≰2212012)⨱∎)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5123,"operation_count":12,"complexity_ratio":426.9166666666667,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1741,"base":3},"right_expr":{"type":"numeric_atoms","value":4582,"base":3}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7874,"base":3}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2992,"base":3},"right_expr":{"type":"numeric_atoms","value":5559,"base":3}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1049,"base":3}}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":9207,"base":3},"right_expr":{"type":"numeric_atoms","value":4621,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3487,"base":3},"right_expr":{"type":"numeric_atoms","value":2084,"base":3}}}}},"used_operators":["OXDGMFPWZM","uWAJUKEvyW","GODebY97qR","DZ8iAZOCBD","Uaa54Peajs","jBncVCNhdl","3EYGwJThht","7p6YLioM7f","MmTdOpaElr","jWTQ2TZYIH","9HNa5Wba9A","0KMCeP1Jsh"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","tifHPKVTfV","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=4582, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3482","layer":3},{"info":"number node, value=7874","layer":4},{"info":"compute unary expreesion, input=7874, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3482, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"number node, value=2992","layer":4},{"info":"number node, value=5559","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=5559, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-174, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=34","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=34, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-260","layer":1},{"info":"number node, value=9207","layer":4},{"info":"number node, value=4621","layer":4},{"info":"compute binary expreesion, left_input=9207, right_input=4621, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=42545547","layer":3},{"info":"number node, value=3487","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=3487, right_input=2084, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-32394","layer":3},{"info":"compute binary expreesion, left_input=42545547, right_input=-32394, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-42546120","layer":2},{"info":"compute unary expreesion, input=-42546120, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2101111⊉≛↸⫏≰20021201)⪟⇏(∂⫏≰101210122)⊹∫⫚(⫏≰11002211⇄⫏≰21121220⋭≵(⫏≰1102212⊅))⊍⩺⋍(((⫏≰110122000*⫏≰20100011)≬⇓⫏≰11210011≨⫏≰2212012)⨱∎)=NaN","reverse_text":"NaN=(⫏≰2101111⊉≛↸⫏≰20021201)⪟⇏(∂⫏≰101210122)⊹∫⫚(⫏≰11002211⇄⫏≰21121220⋭≵(⫏≰1102212⊅))⊍⩺⋍(((⫏≰110122000*⫏≰20100011)≬⇓⫏≰11210011≨⫏≰2212012)⨱∎)","cot":[{"info":"⫏≰2101111⊉≛↸⫏≰20021201=⫏≰11202222","layer":3},{"info":"∂⫏≰101210122=NaN","layer":3},{"info":"⫏≰11202222⪟⇏NaN=⫏≰-1","layer":2},{"info":"⫏≰11002211⇄⫏≰21121220=⫏≰0","layer":3},{"info":"⫏≰1102212⊅=⫏≰-20110","layer":3},{"info":"⫏≰0⋭≵⫏≰-20110=⫏≰1021","layer":2},{"info":"⫏≰-1⊹∫⫚⫏≰1021=⫏≰-100122","layer":1},{"info":"⫏≰110122000*⫏≰20100011=⫏≰2222001112112000","layer":3},{"info":"⫏≰11210011≨⫏≰2212012=⫏≰-1122102210","layer":3},{"info":"⫏≰2222001112112000≬⇓⫏≰-1122102210=⫏≰-2222001120022020","layer":2},{"info":"⫏≰-2222001120022020⨱∎=⫏≰0","layer":1},{"info":"⫏≰-100122⊍⩺⋍⫏≰0=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"(⇠$6866$)⩒⫫($3009$∷$2243$)∖($5345$⨂≜$2072$⪁$3853$≁↽≥$1681$)⋷(($1098$⩇∃⫛$1028$)⋛($1780$⪢$2161$))⩖⊿($3750$∪⫐$1463$)⪟⇏($2933$⪪$4698$)","expression":"(⇠⫏≰100102022)⩒⫫(⫏≰11010110∷⫏≰10002002)∖(⫏≰21022222⨂≜⫏≰2211202⪁⫏≰12021201≁↽≥⫏≰2022021)⋷((⫏≰1111200⩇∃⫛⫏≰1102002)⋛(⫏≰2102221⪢⫏≰2222001))⩖⊿(⫏≰12010220∪⫐⫏≰2000012)⪟⇏(⫏≰11000122⪪⫏≰20110000)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":99881,"operation_count":15,"complexity_ratio":6658.733333333334,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":6866,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3009,"base":3},"right_expr":{"type":"numeric_atoms","value":2243,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5345,"base":3},"right_expr":{"type":"numeric_atoms","value":2072,"base":3}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3853,"base":3},"right_expr":{"type":"numeric_atoms","value":1681,"base":3}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1098,"base":3},"right_expr":{"type":"numeric_atoms","value":1028,"base":3}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1780,"base":3},"right_expr":{"type":"numeric_atoms","value":2161,"base":3}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3750,"base":3},"right_expr":{"type":"numeric_atoms","value":1463,"base":3}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2933,"base":3},"right_expr":{"type":"numeric_atoms","value":4698,"base":3}}}}},"used_operators":["23Mk6UjR3U","tXD093vOjl","KFSx94NKJn","18saOjeKKm","D3AQDKkPcf","I7sXao9hZE","k1SHOSEABc","ncHt1X6cMc","RZ5CV9rWsJ","YbUVn0Rbpy","1aApVXNlOP","dWAJyo7jo9","GODebY97qR","7YooWSwCyH","xD69zh8xqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","oWn0xqSxBt","3Oe9XWJUTD","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rJVOvQCfKK","2DDjHMKMc0","FU0Cs4j7VP","JclMnS0uGI"],"result":"⫏≰-110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6866","layer":4},{"info":"compute unary expreesion, input=6866, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-6624","layer":3},{"info":"number node, value=3009","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=3009, right_input=2243, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2243","layer":3},{"info":"compute binary expreesion, left_input=-6624, right_input=2243, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=5345","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=5345, right_input=2072, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3853","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=1681, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=56571","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=56571, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=6","layer":1},{"info":"number node, value=1098","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=1028, 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=403","layer":3},{"info":"number node, value=1780","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=2161, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=403, right_input=nan, 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=nan","layer":2},{"info":"number node, value=3750","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=1463, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3750","layer":3},{"info":"number node, value=2933","layer":4},{"info":"number node, value=4698","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=4698, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-438972","layer":3},{"info":"compute binary expreesion, left_input=3750, right_input=-438972, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-12","layer":0}],"base":3,"result_base":3,"text":"(⇠⫏≰100102022)⩒⫫(⫏≰11010110∷⫏≰10002002)∖(⫏≰21022222⨂≜⫏≰2211202⪁⫏≰12021201≁↽≥⫏≰2022021)⋷((⫏≰1111200⩇∃⫛⫏≰1102002)⋛(⫏≰2102221⪢⫏≰2222001))⩖⊿(⫏≰12010220∪⫐⫏≰2000012)⪟⇏(⫏≰11000122⪪⫏≰20110000)=⫏≰-110","reverse_text":"⫏≰-110=(⇠⫏≰100102022)⩒⫫(⫏≰11010110∷⫏≰10002002)∖(⫏≰21022222⨂≜⫏≰2211202⪁⫏≰12021201≁↽≥⫏≰2022021)⋷((⫏≰1111200⩇∃⫛⫏≰1102002)⋛(⫏≰2102221⪢⫏≰2222001))⩖⊿(⫏≰12010220∪⫐⫏≰2000012)⪟⇏(⫏≰11000122⪪⫏≰20110000)","cot":[{"info":"⇠⫏≰100102022=⫏≰-100002100","layer":3},{"info":"⫏≰11010110∷⫏≰10002002=⫏≰10002002","layer":3},{"info":"⫏≰-100002100⩒⫫⫏≰10002002=⫏≰12221","layer":2},{"info":"⫏≰21022222⨂≜⫏≰2211202=NaN","layer":3},{"info":"⫏≰12021201≁↽≥⫏≰2022021=⫏≰2212121020","layer":3},{"info":"NaN⪁⫏≰2212121020=NaN","layer":2},{"info":"⫏≰12221∖NaN=⫏≰20","layer":1},{"info":"⫏≰1111200⩇∃⫛⫏≰1102002=⫏≰112221","layer":3},{"info":"⫏≰2102221⪢⫏≰2222001=NaN","layer":3},{"info":"⫏≰112221⋛NaN=NaN","layer":2},{"info":"⫏≰12010220∪⫐⫏≰2000012=⫏≰12010220","layer":3},{"info":"⫏≰11000122⪪⫏≰20110000=⫏≰-211022011020","layer":3},{"info":"⫏≰12010220⪟⇏⫏≰-211022011020=⫏≰-1","layer":2},{"info":"NaN⩖⊿⫏≰-1=NaN","layer":1},{"info":"⫏≰20⋷NaN=⫏≰-110","layer":0}]}
{"id":824,"expression_no_base_symbol":"((⊢≑≆$2982$⫞⩸⩒$2298$)⨔≚≋($1951$∀⇚≩$3070$)≴⪞⇿($6180$∙∹∝$1207$))⋆⋳","expression":"((⊢≑≆⫏≰11002110⫞⩸⩒⫏≰10011010)⨔≚≋(⫏≰2200021∀⇚≩⫏≰11012201)≴⪞⇿(⫏≰22110220∙∹∝⫏≰1122201))⋆⋳","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13781,"operation_count":7,"complexity_ratio":1968.7142857142858,"tree":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2982,"base":3},"right_expr":{"type":"numeric_atoms","value":2298,"base":3}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1951,"base":3},"right_expr":{"type":"numeric_atoms","value":3070,"base":3}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6180,"base":3},"right_expr":{"type":"numeric_atoms","value":1207,"base":3}}}}},"used_operators":["6MpZysEj17","Z57zeUYC9z","27wFxooxGf","XGcMNugi78","lvlrscuwVU","LRNGc0VcxI","HmxsFra2vL"],"dependent_operators":["9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","X99M06cbEe","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2982","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=2982, right_input=2298, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2298","layer":3},{"info":"compute unary expreesion, input=2298, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=9644","layer":2},{"info":"number node, value=1951","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=3070, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6180","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=6180, right_input=1207, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9644, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊢≑≆⫏≰11002110⫞⩸⩒⫏≰10011010)⨔≚≋(⫏≰2200021∀⇚≩⫏≰11012201)≴⪞⇿(⫏≰22110220∙∹∝⫏≰1122201))⋆⋳=NaN","reverse_text":"NaN=((⊢≑≆⫏≰11002110⫞⩸⩒⫏≰10011010)⨔≚≋(⫏≰2200021∀⇚≩⫏≰11012201)≴⪞⇿(⫏≰22110220∙∹∝⫏≰1122201))⋆⋳","cot":[{"info":"⫏≰11002110⫞⩸⩒⫏≰10011010=⫏≰10011010","layer":3},{"info":"⊢≑≆⫏≰10011010=⫏≰111020012","layer":2},{"info":"⫏≰2200021∀⇚≩⫏≰11012201=NaN","layer":3},{"info":"⫏≰22110220∙∹∝⫏≰1122201=⫏≰0","layer":3},{"info":"NaN≴⪞⇿⫏≰0=NaN","layer":2},{"info":"⫏≰111020012⨔≚≋NaN=NaN","layer":1},{"info":"NaN⋆⋳=NaN","layer":0}]}
{"id":825,"expression_no_base_symbol":"⊽((($2397$≀⩗∶$1183$)⪍↜⋙($3999$≬⋮$1071$))⊔($1677$≄⊠$7595$)⪮%⊝$1084$⊋$3827$)","expression":"⊽(((⫏≰10021210≀⩗∶⫏≰1121211)⪍↜⋙(⫏≰12111010≬⋮⫏≰1110200))⊔(⫏≰2022010≄⊠⫏≰101102022)⪮%⊝⫏≰1111011⊋⫏≰12020202)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5576,"operation_count":8,"complexity_ratio":697.0,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2397,"base":3},"right_expr":{"type":"numeric_atoms","value":1183,"base":3}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3999,"base":3},"right_expr":{"type":"numeric_atoms","value":1071,"base":3}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1677,"base":3},"right_expr":{"type":"numeric_atoms","value":7595,"base":3}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1084,"base":3},"right_expr":{"type":"numeric_atoms","value":3827,"base":3}}}}},"used_operators":["QxG7OkqoLX","E4l6HwMY31","L05ObWFQCd","8INZBEW696","kbkesczE7y","IWmyXbctLI","vXNesLlMH1","W4tP9CfskL"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⫏≰2212221210212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2397","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=1183, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3999","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=3999, right_input=1071, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-2519","layer":2},{"info":"number node, value=1677","layer":4},{"info":"number node, value=7595","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=7595, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=126188","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=3827, 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=-81044288","layer":3},{"info":"compute binary expreesion, left_input=126188, right_input=-81044288, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=252692","layer":2},{"info":"compute binary expreesion, left_input=-2519, right_input=252692, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=766442","layer":1},{"info":"compute unary expreesion, input=766442, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1534406","layer":0}],"base":3,"result_base":3,"text":"⊽(((⫏≰10021210≀⩗∶⫏≰1121211)⪍↜⋙(⫏≰12111010≬⋮⫏≰1110200))⊔(⫏≰2022010≄⊠⫏≰101102022)⪮%⊝⫏≰1111011⊋⫏≰12020202)=⫏≰2212221210212","reverse_text":"⫏≰2212221210212=⊽(((⫏≰10021210≀⩗∶⫏≰1121211)⪍↜⋙(⫏≰12111010≬⋮⫏≰1110200))⊔(⫏≰2022010≄⊠⫏≰101102022)⪮%⊝⫏≰1111011⊋⫏≰12020202)","cot":[{"info":"⫏≰10021210≀⩗∶⫏≰1121211=⫏≰0","layer":3},{"info":"⫏≰12111010≬⋮⫏≰1110200=⫏≰1012011","layer":3},{"info":"⫏≰0⪍↜⋙⫏≰1012011=⫏≰-10110022","layer":2},{"info":"⫏≰2022010≄⊠⫏≰101102022=⫏≰20102002122","layer":3},{"info":"⫏≰1111011⊋⫏≰12020202=⫏≰-12122111110212022","layer":3},{"info":"⫏≰20102002122⪮%⊝⫏≰-12122111110212022=⫏≰110211121222","layer":2},{"info":"⫏≰-10110022⊔⫏≰110211121222=⫏≰1102221100202","layer":1},{"info":"⊽⫏≰1102221100202=⫏≰2212221210212","layer":0}]}
{"id":826,"expression_no_base_symbol":"(⪫⨮⊛(($1113$⇯⋐)↞⋁($1067$⨟⋌⩍$1267$)))⇄($1634$∴$4179$⋣⋖$7012$⫘$2887$)⫘($1224$⪕$1070$⪇≇⋚$5997$⊱⇼⊻$1837$)","expression":"(⪫⨮⊛((⫏≰1112020⇯⋐)↞⋁(⫏≰1110112⨟⋌⩍⫏≰1201221)))⇄(⫏≰2020112∴⫏≰12201210⋣⋖⫏≰100121201⫘⫏≰10221221)⫘(⫏≰1200100⪕⫏≰1110122⪇≇⋚⫏≰22020010⊱⇼⊻⫏≰2112001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27781,"operation_count":12,"complexity_ratio":2315.0833333333335,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1113,"base":3}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1067,"base":3},"right_expr":{"type":"numeric_atoms","value":1267,"base":3}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1634,"base":3},"right_expr":{"type":"numeric_atoms","value":4179,"base":3}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":7012,"base":3},"right_expr":{"type":"numeric_atoms","value":2887,"base":3}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1224,"base":3},"right_expr":{"type":"numeric_atoms","value":1070,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5997,"base":3},"right_expr":{"type":"numeric_atoms","value":1837,"base":3}}}}},"used_operators":["3EYGwJThht","w5FWba1tyO","RqrPlJkxDo","LkLIoiE525","rGHVDoGpnC","48vC8HMD2b","J0M6qkBnIM","hrf7POJlIJ","3sJ7IOPOlU","umQnsF7QlU","FyVja0WsTP"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4217","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1267, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4217, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"number node, value=1634","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=4179, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4916","layer":3},{"info":"number node, value=7012","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=7012, right_input=2887, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=8250517","layer":3},{"info":"compute binary expreesion, left_input=4916, right_input=8250517, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4916","layer":2},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1070, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2279","layer":3},{"info":"number node, value=5997","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=5997, right_input=1837, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=2279, right_input=434, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4916, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5785621","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5785621, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪫⨮⊛((⫏≰1112020⇯⋐)↞⋁(⫏≰1110112⨟⋌⩍⫏≰1201221)))⇄(⫏≰2020112∴⫏≰12201210⋣⋖⫏≰100121201⫘⫏≰10221221)⫘(⫏≰1200100⪕⫏≰1110122⪇≇⋚⫏≰22020010⊱⇼⊻⫏≰2112001)=NaN","reverse_text":"NaN=(⪫⨮⊛((⫏≰1112020⇯⋐)↞⋁(⫏≰1110112⨟⋌⩍⫏≰1201221)))⇄(⫏≰2020112∴⫏≰12201210⋣⋖⫏≰100121201⫘⫏≰10221221)⫘(⫏≰1200100⪕⫏≰1110122⪇≇⋚⫏≰22020010⊱⇼⊻⫏≰2112001)","cot":[{"info":"⫏≰1112020⇯⋐=⫏≰12210012","layer":3},{"info":"⫏≰1110112⨟⋌⩍⫏≰1201221=NaN","layer":3},{"info":"⫏≰12210012↞⋁NaN=NaN","layer":2},{"info":"⪫⨮⊛NaN=NaN","layer":1},{"info":"⫏≰2020112∴⫏≰12201210=⫏≰20202002","layer":3},{"info":"⫏≰100121201⫘⫏≰10221221=⫏≰120112011120201","layer":3},{"info":"⫏≰20202002⋣⋖⫏≰120112011120201=⫏≰20202002","layer":2},{"info":"⫏≰1200100⪕⫏≰1110122=⫏≰10010102","layer":3},{"info":"⫏≰22020010⊱⇼⊻⫏≰2112001=⫏≰121002","layer":3},{"info":"⫏≰10010102⪇≇⋚⫏≰121002=⫏≰0","layer":2},{"info":"⫏≰20202002⫘⫏≰0=⫏≰101212221101021","layer":1},{"info":"NaN⇄⫏≰101212221101021=NaN","layer":0}]}
{"id":827,"expression_no_base_symbol":"($2315$≧⫂∧$3742$)⪎↠$2072$⫣⪄⊒$1277$⨽((↘$2566$)⫸⊐$2139$⋭≵$1693$)⨒($1715$∙∹∝$4086$)⊕∕($4048$⊿∆)∇⊂⋱(($1113$⋣⋖$5446$)⋛($4976$⊭∹↮))","expression":"(⫏≰10011202≧⫂∧⫏≰12010121)⪎↠⫏≰2211202⫣⪄⊒⫏≰1202022⨽((↘⫏≰10112001)⫸⊐⫏≰2221020⋭≵⫏≰2022201)⨒(⫏≰2100112∙∹∝⫏≰12121100)⊕∕(⫏≰12112221⊿∆)∇⊂⋱((⫏≰1112020⋣⋖⫏≰21110201)⋛(⫏≰20211022⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":580,"operation_count":15,"complexity_ratio":38.666666666666664,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2315,"base":3},"right_expr":{"type":"numeric_atoms","value":3742,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2072,"base":3},"right_expr":{"type":"numeric_atoms","value":1277,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2566,"base":3}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2139,"base":3},"right_expr":{"type":"numeric_atoms","value":1693,"base":3}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1715,"base":3},"right_expr":{"type":"numeric_atoms","value":4086,"base":3}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":4048,"base":3}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1113,"base":3},"right_expr":{"type":"numeric_atoms","value":5446,"base":3}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4976,"base":3}}}}},"used_operators":["y75s1iXyHd","8HhzD0ZcuI","3tVxb0NHM4","Ph9nP6C5qx","RabNbG55vr","mqXw5SEYmG","LdNpr8hQHL","jBncVCNhdl","nhYeJWJD5X","9cloC0Ngie","HmxsFra2vL","fv3ZujxkQL","YbUVn0Rbpy","J0M6qkBnIM","xNBdhnnwKq"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","uFcxV4UQCh","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2315","layer":4},{"info":"number node, value=3742","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=3742, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3269","layer":3},{"info":"number node, value=2072","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=1277, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-4030","layer":3},{"info":"compute binary expreesion, left_input=3269, right_input=-4030, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=2566","layer":4},{"info":"compute unary expreesion, input=2566, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=214","layer":3},{"info":"number node, value=2139","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=1693, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=214, right_input=67, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=158","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=158, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-75960","layer":1},{"info":"number node, value=1715","layer":4},{"info":"number node, value=4086","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=4086, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4048","layer":4},{"info":"compute unary expreesion, input=4048, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-8217","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8217, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":2},{"info":"number node, value=1113","layer":4},{"info":"number node, value=5446","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=5446, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1113","layer":3},{"info":"number node, value=4976","layer":4},{"info":"compute unary expreesion, input=4976, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9952","layer":3},{"info":"compute binary expreesion, left_input=1113, right_input=9952, 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=-122175","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-122175, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=244350","layer":1},{"info":"compute binary expreesion, left_input=-75960, right_input=244350, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10011202≧⫂∧⫏≰12010121)⪎↠⫏≰2211202⫣⪄⊒⫏≰1202022⨽((↘⫏≰10112001)⫸⊐⫏≰2221020⋭≵⫏≰2022201)⨒(⫏≰2100112∙∹∝⫏≰12121100)⊕∕(⫏≰12112221⊿∆)∇⊂⋱((⫏≰1112020⋣⋖⫏≰21110201)⋛(⫏≰20211022⊭∹↮))=⫏≰0","reverse_text":"⫏≰0=(⫏≰10011202≧⫂∧⫏≰12010121)⪎↠⫏≰2211202⫣⪄⊒⫏≰1202022⨽((↘⫏≰10112001)⫸⊐⫏≰2221020⋭≵⫏≰2022201)⨒(⫏≰2100112∙∹∝⫏≰12121100)⊕∕(⫏≰12112221⊿∆)∇⊂⋱((⫏≰1112020⋣⋖⫏≰21110201)⋛(⫏≰20211022⊭∹↮))","cot":[{"info":"⫏≰10011202≧⫂∧⫏≰12010121=⫏≰11111002","layer":3},{"info":"⫏≰2211202⫣⪄⊒⫏≰1202022=⫏≰-12112021","layer":3},{"info":"⫏≰11111002⪎↠⫏≰-12112021=⫏≰12221","layer":2},{"info":"↘⫏≰10112001=⫏≰21221","layer":3},{"info":"⫏≰2221020⋭≵⫏≰2022201=⫏≰2111","layer":3},{"info":"⫏≰21221⫸⊐⫏≰2111=⫏≰12212","layer":2},{"info":"⫏≰12221⨽⫏≰12212=⫏≰-10212012100","layer":1},{"info":"⫏≰2100112∙∹∝⫏≰12121100=⫏≰0","layer":3},{"info":"⫏≰12112221⊿∆=⫏≰-102021100","layer":3},{"info":"⫏≰0⊕∕⫏≰-102021100=⫏≰0","layer":2},{"info":"⫏≰1112020⋣⋖⫏≰21110201=⫏≰1112020","layer":3},{"info":"⫏≰20211022⊭∹↮=⫏≰111122121","layer":3},{"info":"⫏≰1112020⋛⫏≰111122121=⫏≰-20012121000","layer":2},{"info":"⫏≰0∇⊂⋱⫏≰-20012121000=⫏≰110102012000","layer":1},{"info":"⫏≰-10212012100⨒⫏≰110102012000=⫏≰0","layer":0}]}
{"id":828,"expression_no_base_symbol":"($1096$⇷$2877$⫸⊐$5259$⊬⨰$2546$)∊∟⩊($5906$⨼⩣$1243$⫦⪉$1900$⇮⋭$1775$)⊾⪯⋞(⨣⨃⇪$7694$)≠≀(↞≼$1643$)⪔((⨑⩽⪐$3346$)≭($2410$⨔≚≋$1515$))","expression":"(⫏≰1111121⇷⫏≰10221120⫸⊐⫏≰21012210⊬⨰⫏≰10111022)∊∟⩊(⫏≰22002202⨼⩣⫏≰1201001⫦⪉⫏≰2121101⇮⋭⫏≰2102202)⊾⪯⋞(⨣⨃⇪⫏≰101112222)≠≀(↞≼⫏≰2020212)⪔((⨑⩽⪐⫏≰11120221)≭(⫏≰10022021⨔≚≋⫏≰2002010))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17198,"operation_count":15,"complexity_ratio":1146.5333333333333,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1096,"base":3},"right_expr":{"type":"numeric_atoms","value":2877,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5259,"base":3},"right_expr":{"type":"numeric_atoms","value":2546,"base":3}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5906,"base":3},"right_expr":{"type":"numeric_atoms","value":1243,"base":3}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1900,"base":3},"right_expr":{"type":"numeric_atoms","value":1775,"base":3}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":7694,"base":3}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1643,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3346,"base":3}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2410,"base":3},"right_expr":{"type":"numeric_atoms","value":1515,"base":3}}}}},"used_operators":["HK0tfVPux8","ddLRYrp01A","mqXw5SEYmG","mp7IySMOzn","s3Fd5m9Dh2","wscyQdcy20","JxwMv5le6e","vkpjKywKVM","GjBEYRfMaF","IwW236VD4Y","AcOhelriW5","DE7zCoGJt9","rxpJgHHUmx","AF7qkfDlqP","Z57zeUYC9z"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"number node, value=2877","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=2877, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5754","layer":3},{"info":"number node, value=5259","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=5259, right_input=2546, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14387","layer":3},{"info":"compute binary expreesion, left_input=5754, right_input=14387, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=57423","layer":2},{"info":"number node, value=5906","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=5906, right_input=1243, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1900","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=1900, right_input=1775, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=57423, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=48","layer":1},{"info":"number node, value=7694","layer":4},{"info":"compute unary expreesion, input=7694, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1643","layer":4},{"info":"compute unary expreesion, input=1643, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=12730","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=12730, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2504","layer":2},{"info":"number node, value=3346","layer":4},{"info":"compute unary expreesion, input=3346, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3073","layer":3},{"info":"number node, value=2410","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=1515, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-3073, right_input=9872, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2504, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=48, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1111121⇷⫏≰10221120⫸⊐⫏≰21012210⊬⨰⫏≰10111022)∊∟⩊(⫏≰22002202⨼⩣⫏≰1201001⫦⪉⫏≰2121101⇮⋭⫏≰2102202)⊾⪯⋞(⨣⨃⇪⫏≰101112222)≠≀(↞≼⫏≰2020212)⪔((⨑⩽⪐⫏≰11120221)≭(⫏≰10022021⨔≚≋⫏≰2002010))=NaN","reverse_text":"NaN=(⫏≰1111121⇷⫏≰10221120⫸⊐⫏≰21012210⊬⨰⫏≰10111022)∊∟⩊(⫏≰22002202⨼⩣⫏≰1201001⫦⪉⫏≰2121101⇮⋭⫏≰2102202)⊾⪯⋞(⨣⨃⇪⫏≰101112222)≠≀(↞≼⫏≰2020212)⪔((⨑⩽⪐⫏≰11120221)≭(⫏≰10022021⨔≚≋⫏≰2002010))","cot":[{"info":"⫏≰1111121⇷⫏≰10221120=⫏≰21220010","layer":3},{"info":"⫏≰21012210⊬⨰⫏≰10111022=⫏≰201201212","layer":3},{"info":"⫏≰21220010⫸⊐⫏≰201201212=⫏≰2220202210","layer":2},{"info":"⫏≰22002202⨼⩣⫏≰1201001=NaN","layer":3},{"info":"⫏≰2121101⇮⋭⫏≰2102202=⫏≰-122112","layer":3},{"info":"NaN⫦⪉⫏≰-122112=NaN","layer":2},{"info":"⫏≰2220202210∊∟⩊NaN=⫏≰1210","layer":1},{"info":"⨣⨃⇪⫏≰101112222=⫏≰1221001","layer":3},{"info":"↞≼⫏≰2020212=⫏≰122110111","layer":3},{"info":"⫏≰1221001≠≀⫏≰122110111=⫏≰-10102202","layer":2},{"info":"⨑⩽⪐⫏≰11120221=⫏≰-11012211","layer":3},{"info":"⫏≰10022021⨔≚≋⫏≰2002010=⫏≰111112122","layer":3},{"info":"⫏≰-11012211≭⫏≰111112122=NaN","layer":2},{"info":"⫏≰-10102202⪔NaN=NaN","layer":1},{"info":"⫏≰1210⊾⪯⋞NaN=NaN","layer":0}]}
{"id":829,"expression_no_base_symbol":"((($7747$⫦⪉$7162$)⪊≅)⨑⩅≇(⩷⨜⫀(⊬↢$2793$)))↤⩊(≦∁($4320$⫏⊷)⩖⊿($1222$⪭≯$2553$))","expression":"(((⫏≰101121221⫦⪉⫏≰100211021)⪊≅)⨑⩅≇(⩷⨜⫀(⊬↢⫏≰10211110)))↤⩊(≦∁(⫏≰12221000⫏⊷)⩖⊿(⫏≰1200021⪭≯⫏≰10111120))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16518,"operation_count":10,"complexity_ratio":1651.8,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7747,"base":3},"right_expr":{"type":"numeric_atoms","value":7162,"base":3}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2793,"base":3}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":4320,"base":3}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1222,"base":3},"right_expr":{"type":"numeric_atoms","value":2553,"base":3}}}}},"used_operators":["13rbtpv6ld","h92wMvzauj","bjFbhXSADs","wscyQdcy20","CDi0ktkjQ4","WPoGxAaPR1","9ICcGScMcE","RZ5CV9rWsJ","dcShxvzhyw","XAx5wpdLa6"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","ruOEQAzv1W","nhYeJWJD5X","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7747","layer":4},{"info":"number node, value=7162","layer":4},{"info":"compute binary expreesion, left_input=7747, right_input=7162, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-10594","layer":3},{"info":"compute unary expreesion, input=-10594, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"number node, value=2793","layer":4},{"info":"compute unary expreesion, input=2793, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=55","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=55, 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":1},{"info":"number node, value=4320","layer":4},{"info":"compute unary expreesion, input=4320, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=1222","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=2553, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰101121221⫦⪉⫏≰100211021)⪊≅)⨑⩅≇(⩷⨜⫀(⊬↢⫏≰10211110)))↤⩊(≦∁(⫏≰12221000⫏⊷)⩖⊿(⫏≰1200021⪭≯⫏≰10111120))=NaN","reverse_text":"NaN=(((⫏≰101121221⫦⪉⫏≰100211021)⪊≅)⨑⩅≇(⩷⨜⫀(⊬↢⫏≰10211110)))↤⩊(≦∁(⫏≰12221000⫏⊷)⩖⊿(⫏≰1200021⪭≯⫏≰10111120))","cot":[{"info":"⫏≰101121221⫦⪉⫏≰100211021=⫏≰-112112101","layer":3},{"info":"⫏≰-112112101⪊≅=⫏≰0","layer":2},{"info":"⊬↢⫏≰10211110=⫏≰22002","layer":3},{"info":"⩷⨜⫀⫏≰22002=⫏≰2001","layer":2},{"info":"⫏≰0⨑⩅≇⫏≰2001=⫏≰0","layer":1},{"info":"⫏≰12221000⫏⊷=⫏≰-1010101","layer":3},{"info":"⫏≰1200021⪭≯⫏≰10111120=NaN","layer":3},{"info":"⫏≰-1010101⩖⊿NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⫏≰0↤⩊NaN=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"⇋↷(($1291$%$1112$)⨸⪁(↞≼$2610$))⨔⇊(($4763$⊫∞)∙∹∝$4938$⪭≯$4650$)","expression":"⇋↷((⫏≰1202211%⫏≰1112012)⨸⪁(↞≼⫏≰10120200))⨔⇊((⫏≰20112102⊫∞)∙∹∝⫏≰20202220⪭≯⫏≰20101020)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23356,"operation_count":8,"complexity_ratio":2919.5,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1291,"base":3},"right_expr":{"type":"numeric_atoms","value":1112,"base":3}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2610,"base":3}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":4763,"base":3}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4938,"base":3},"right_expr":{"type":"numeric_atoms","value":4650,"base":3}}}}},"used_operators":["SWo3A1KBJH","JclMnS0uGI","g55IO6H4Gj","k8jYdgA6NY","DE7zCoGJt9","HmxsFra2vL","pABnYW3G3E","XAx5wpdLa6"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1291","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=1112, op_id = k8jYdgA6NY binary_op_definition= 'None', output=179","layer":3},{"info":"number node, value=2610","layer":4},{"info":"compute unary expreesion, input=2610, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=20466","layer":3},{"info":"compute binary expreesion, left_input=179, right_input=20466, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=41290","layer":2},{"info":"number node, value=4763","layer":4},{"info":"compute unary expreesion, input=4763, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=4938","layer":4},{"info":"number node, value=4650","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=4650, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=41290, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⇋↷((⫏≰1202211%⫏≰1112012)⨸⪁(↞≼⫏≰10120200))⨔⇊((⫏≰20112102⊫∞)∙∹∝⫏≰20202220⪭≯⫏≰20101020)=⫏≰0","reverse_text":"⫏≰0=⇋↷((⫏≰1202211%⫏≰1112012)⨸⪁(↞≼⫏≰10120200))⨔⇊((⫏≰20112102⊫∞)∙∹∝⫏≰20202220⪭≯⫏≰20101020)","cot":[{"info":"⫏≰1202211%⫏≰1112012=⫏≰20122","layer":3},{"info":"↞≼⫏≰10120200=⫏≰1001002000","layer":3},{"info":"⫏≰20122⨸⪁⫏≰1001002000=⫏≰2002122021","layer":2},{"info":"⫏≰20112102⊫∞=⫏≰0","layer":3},{"info":"⫏≰20202220⪭≯⫏≰20101020=NaN","layer":3},{"info":"⫏≰0∙∹∝NaN=⫏≰0","layer":2},{"info":"⫏≰2002122021⨔⇊⫏≰0=⫏≰0","layer":1},{"info":"⇋↷⫏≰0=⫏≰0","layer":0}]}
{"id":831,"expression_no_base_symbol":"(⨈⫕($1016$⇯⋐))∥⊢⊲(($4077$⨽⪊≇)⊉≛↸$3920$⪟⇏$2009$)↼⊘⨖(($9144$∷$1018$)≝⊿(⋗⩬⋾$5088$)⊨(($5413$⨑≵⋬$4427$)⫢⨠($6752$*$4739$)))","expression":"(⨈⫕(⫏≰1101122⇯⋐))∥⊢⊲((⫏≰12121000⨽⪊≇)⊉≛↸⫏≰12101012⪟⇏⫏≰2202102)↼⊘⨖((⫏≰110112200∷⫏≰1101201)≝⊿(⋗⩬⋾⫏≰20222110)⊨((⫏≰21102111⨑≵⋬⫏≰20001222)⫢⨠(⫏≰100021002*⫏≰20111112)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5306,"operation_count":14,"complexity_ratio":379.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1016,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":4077,"base":3}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3920,"base":3},"right_expr":{"type":"numeric_atoms","value":2009,"base":3}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":9144,"base":3},"right_expr":{"type":"numeric_atoms","value":1018,"base":3}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5088,"base":3}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5413,"base":3},"right_expr":{"type":"numeric_atoms","value":4427,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6752,"base":3},"right_expr":{"type":"numeric_atoms","value":4739,"base":3}}}}},"used_operators":["bPywburJMS","v1UQAVDJRr","megm06wKyl","LkLIoiE525","DZ8iAZOCBD","nlCqmYiOvY","GODebY97qR","vg4gO5BX6G","OKKcZfAt5B","D3AQDKkPcf","DpFCA1CohY","xlXykHWxX1","XnXgA4xnOs","9HNa5Wba9A"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe"],"result":"⫏≰102212111221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=3926","layer":3},{"info":"compute unary expreesion, input=3926, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=4077","layer":4},{"info":"compute unary expreesion, input=4077, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=7628","layer":3},{"info":"number node, value=3920","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=3920, right_input=2009, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=7628, right_input=-1, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15256","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=15256, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=9144","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=9144, right_input=1018, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1018","layer":3},{"info":"number node, value=5088","layer":4},{"info":"compute unary expreesion, input=5088, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15264","layer":3},{"info":"compute binary expreesion, left_input=1018, right_input=-15264, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=28977","layer":2},{"info":"number node, value=5413","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=4427, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-2545","layer":3},{"info":"number node, value=6752","layer":4},{"info":"number node, value=4739","layer":4},{"info":"compute binary expreesion, left_input=6752, right_input=4739, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=31997728","layer":3},{"info":"compute binary expreesion, left_input=-2545, right_input=31997728, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=28977, right_input=160, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=116939","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=116939, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=233656","layer":0}],"base":3,"result_base":3,"text":"(⨈⫕(⫏≰1101122⇯⋐))∥⊢⊲((⫏≰12121000⨽⪊≇)⊉≛↸⫏≰12101012⪟⇏⫏≰2202102)↼⊘⨖((⫏≰110112200∷⫏≰1101201)≝⊿(⋗⩬⋾⫏≰20222110)⊨((⫏≰21102111⨑≵⋬⫏≰20001222)⫢⨠(⫏≰100021002*⫏≰20111112)))=⫏≰102212111221","reverse_text":"⫏≰102212111221=(⨈⫕(⫏≰1101122⇯⋐))∥⊢⊲((⫏≰12121000⨽⪊≇)⊉≛↸⫏≰12101012⪟⇏⫏≰2202102)↼⊘⨖((⫏≰110112200∷⫏≰1101201)≝⊿(⋗⩬⋾⫏≰20222110)⊨((⫏≰21102111⨑≵⋬⫏≰20001222)⫢⨠(⫏≰100021002*⫏≰20111112)))","cot":[{"info":"⫏≰1101122⇯⋐=⫏≰12101102","layer":3},{"info":"⨈⫕⫏≰12101102=⫏≰-210","layer":2},{"info":"⫏≰12121000⨽⪊≇=⫏≰101110112","layer":3},{"info":"⫏≰12101012⪟⇏⫏≰2202102=⫏≰-1","layer":3},{"info":"⫏≰101110112⊉≛↸⫏≰-1=⫏≰202221001","layer":2},{"info":"⫏≰-210∥⊢⊲⫏≰202221001=NaN","layer":1},{"info":"⫏≰110112200∷⫏≰1101201=⫏≰1101201","layer":3},{"info":"⋗⩬⋾⫏≰20222110=⫏≰-202221100","layer":3},{"info":"⫏≰1101201≝⊿⫏≰-202221100=⫏≰1110202020","layer":2},{"info":"⫏≰21102111⨑≵⋬⫏≰20001222=⫏≰-10111021","layer":3},{"info":"⫏≰100021002*⫏≰20111112=⫏≰2020012122122001","layer":3},{"info":"⫏≰-10111021⫢⨠⫏≰2020012122122001=⫏≰12221","layer":2},{"info":"⫏≰1110202020⊨⫏≰12221=⫏≰12221102002","layer":1},{"info":"NaN↼⊘⨖⫏≰12221102002=⫏≰102212111221","layer":0}]}
{"id":832,"expression_no_base_symbol":"(($3387$⫯⪬∳$5792$⫥∨⫟$3504$↓$1493$)⫢⨠($3826$⇄$7245$⪭≯$1949$⩼⇪↪$2374$))⇴(($6905$≃$1321$)⩁⩘(⨞⊢$2025$)/(($1107$⊉≛↸$1368$)⋘⨑⨽))","expression":"((⫏≰11122110⫯⪬∳⫏≰21221112⫥∨⫟⫏≰11210210↓⫏≰2001022)⫢⨠(⫏≰12020201⇄⫏≰100221100⪭≯⫏≰2200012⩼⇪↪⫏≰10020221))⇴((⫏≰100110202≃⫏≰1210221)⩁⩘(⨞⊢⫏≰2210000)/((⫏≰1112000⊉≛↸⫏≰1212200)⋘⨑⨽))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21686,"operation_count":14,"complexity_ratio":1549.0,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3387,"base":3},"right_expr":{"type":"numeric_atoms","value":5792,"base":3}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3504,"base":3},"right_expr":{"type":"numeric_atoms","value":1493,"base":3}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3826,"base":3},"right_expr":{"type":"numeric_atoms","value":7245,"base":3}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1949,"base":3},"right_expr":{"type":"numeric_atoms","value":2374,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":6905,"base":3},"right_expr":{"type":"numeric_atoms","value":1321,"base":3}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2025,"base":3}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1107,"base":3},"right_expr":{"type":"numeric_atoms","value":1368,"base":3}}}}},"used_operators":["4JB6nKBMSY","xlXykHWxX1","KYD54nUTWz","d7ASUq0ydm","Af076pWI7l","XAx5wpdLa6","3EYGwJThht","ocnLzx9CaJ","XhwjNDsVaA","gub5Cegaqo","YbVcJGFEVW","xUOZtlo3hN","WmT3o8z6ya","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3387","layer":4},{"info":"number node, value=5792","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=5792, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=11176","layer":3},{"info":"number node, value=3504","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=3504, right_input=1493, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=11176, right_input=-134, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3826","layer":4},{"info":"number node, value=7245","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=7245, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1949","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=2374, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-13503","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-13503, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"number node, value=6905","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=6905, right_input=1321, 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=-27660","layer":3},{"info":"number node, value=2025","layer":4},{"info":"compute unary expreesion, input=2025, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2199","layer":3},{"info":"compute binary expreesion, left_input=-27660, right_input=-2199, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-7848","layer":2},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1368, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2214","layer":3},{"info":"compute unary expreesion, input=2214, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=11853","layer":2},{"info":"compute binary expreesion, left_input=-7848, right_input=11853, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰11122110⫯⪬∳⫏≰21221112⫥∨⫟⫏≰11210210↓⫏≰2001022)⫢⨠(⫏≰12020201⇄⫏≰100221100⪭≯⫏≰2200012⩼⇪↪⫏≰10020221))⇴((⫏≰100110202≃⫏≰1210221)⩁⩘(⨞⊢⫏≰2210000)/((⫏≰1112000⊉≛↸⫏≰1212200)⋘⨑⨽))=NaN","reverse_text":"NaN=((⫏≰11122110⫯⪬∳⫏≰21221112⫥∨⫟⫏≰11210210↓⫏≰2001022)⫢⨠(⫏≰12020201⇄⫏≰100221100⪭≯⫏≰2200012⩼⇪↪⫏≰10020221))⇴((⫏≰100110202≃⫏≰1210221)⩁⩘(⨞⊢⫏≰2210000)/((⫏≰1112000⊉≛↸⫏≰1212200)⋘⨑⨽))","cot":[{"info":"⫏≰11122110⫯⪬∳⫏≰21221112=⫏≰120022221","layer":3},{"info":"⫏≰11210210↓⫏≰2001022=⫏≰-11222","layer":3},{"info":"⫏≰120022221⫥∨⫟⫏≰-11222=NaN","layer":2},{"info":"⫏≰12020201⇄⫏≰100221100=⫏≰0","layer":3},{"info":"⫏≰2200012⩼⇪↪⫏≰10020221=⫏≰-200112010","layer":3},{"info":"⫏≰0⪭≯⫏≰-200112010=NaN","layer":2},{"info":"NaN⫢⨠NaN=NaN","layer":1},{"info":"⫏≰100110202≃⫏≰1210221=⫏≰-1101221110","layer":3},{"info":"⨞⊢⫏≰2210000=⫏≰-10000110","layer":3},{"info":"⫏≰-1101221110⩁⩘⫏≰-10000110=⫏≰-101202200","layer":2},{"info":"⫏≰1112000⊉≛↸⫏≰1212200=⫏≰10001000","layer":3},{"info":"⫏≰10001000⋘⨑⨽=⫏≰121021000","layer":2},{"info":"⫏≰-101202200/⫏≰121021000=⫏≰-1","layer":1},{"info":"NaN⇴⫏≰-1=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"⊤⊝((⋎⨆(∮$2940$))⫑%∭)","expression":"⊤⊝((⋎⨆(∮⫏≰11000220))⫑%∭)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":785,"operation_count":4,"complexity_ratio":196.25,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2940,"base":3}}}}},"used_operators":["rXAclfmB4M","xUx7qlDO4z","E64sFOc4tB","CqXKPLVYql"],"dependent_operators":["sdazOOVcIp","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2940","layer":4},{"info":"compute unary expreesion, input=2940, 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":3},{"info":"compute unary expreesion, input=67, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊤⊝((⋎⨆(∮⫏≰11000220))⫑%∭)=NaN","reverse_text":"NaN=⊤⊝((⋎⨆(∮⫏≰11000220))⫑%∭)","cot":[{"info":"∮⫏≰11000220=⫏≰2111","layer":3},{"info":"⋎⨆⫏≰2111=⫏≰0","layer":2},{"info":"⫏≰0⫑%∭=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
{"id":834,"expression_no_base_symbol":"+⊝⨔(($1602$⩨$4508$)⫣⪄⊒($1660$∙∹∝$6326$)≳⇉(⇘$7374$)↤⩊($1288$⊝⪿⪼$3055$))","expression":"+⊝⨔((⫏≰2012100⩨⫏≰20011222)⫣⪄⊒(⫏≰2021111∙∹∝⫏≰22200022)≳⇉(⇘⫏≰101010010)↤⩊(⫏≰1202201⊝⪿⪼⫏≰11012011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15127,"operation_count":8,"complexity_ratio":1890.875,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1602,"base":3},"right_expr":{"type":"numeric_atoms","value":4508,"base":3}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1660,"base":3},"right_expr":{"type":"numeric_atoms","value":6326,"base":3}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":7374,"base":3}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1288,"base":3},"right_expr":{"type":"numeric_atoms","value":3055,"base":3}}}}},"used_operators":["DhbWaqg5eL","V0kx6qeWkN","RabNbG55vr","2DlMacCsIx","HmxsFra2vL","13rbtpv6ld","MGuIdZPyUC","3Oe9XWJUTD"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⫏≰2002101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1602","layer":4},{"info":"number node, value=4508","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=4508, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=6326","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=6326, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=0, 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":2},{"info":"number node, value=7374","layer":4},{"info":"compute unary expreesion, input=7374, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=436822","layer":3},{"info":"number node, value=1288","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=3055, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=29252","layer":3},{"info":"compute binary expreesion, left_input=436822, right_input=29252, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, 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 = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":3,"result_base":3,"text":"+⊝⨔((⫏≰2012100⩨⫏≰20011222)⫣⪄⊒(⫏≰2021111∙∹∝⫏≰22200022)≳⇉(⇘⫏≰101010010)↤⩊(⫏≰1202201⊝⪿⪼⫏≰11012011))=⫏≰2002101","reverse_text":"⫏≰2002101=+⊝⨔((⫏≰2012100⩨⫏≰20011222)⫣⪄⊒(⫏≰2021111∙∹∝⫏≰22200022)≳⇉(⇘⫏≰101010010)↤⩊(⫏≰1202201⊝⪿⪼⫏≰11012011))","cot":[{"info":"⫏≰2012100⩨⫏≰20011222=⫏≰-20","layer":3},{"info":"⫏≰2021111∙∹∝⫏≰22200022=⫏≰0","layer":3},{"info":"⫏≰-20⫣⪄⊒⫏≰0=⫏≰12221","layer":2},{"info":"⇘⫏≰101010010=⫏≰211012012121","layer":3},{"info":"⫏≰1202201⊝⪿⪼⫏≰11012011=⫏≰1111010102","layer":3},{"info":"⫏≰211012012121↤⩊⫏≰1111010102=NaN","layer":2},{"info":"⫏≰12221≳⇉NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⫏≰2002101","layer":0}]}
{"id":835,"expression_no_base_symbol":"(($3948$⨂≜$2977$-$7762$⫣⪄⊒$4132$)⩁)⊨($2867$≭$7174$)⩼⇪↪(⊲⪭$3799$)⩇∃⫛($3124$⨑≵⋬$1766$)⪝($4531$≝⊿$1807$)","expression":"((⫏≰12102020⨂≜⫏≰11002021-⫏≰101122111⫣⪄⊒⫏≰12200001)⩁)⊨(⫏≰10221012≭⫏≰100211201)⩼⇪↪(⊲⪭⫏≰12012201)⩇∃⫛(⫏≰11021201⨑≵⋬⫏≰2102102)⪝(⫏≰20012211≝⊿⫏≰2110221)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4521,"operation_count":12,"complexity_ratio":376.75,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3948,"base":3},"right_expr":{"type":"numeric_atoms","value":2977,"base":3}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":7762,"base":3},"right_expr":{"type":"numeric_atoms","value":4132,"base":3}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2867,"base":3},"right_expr":{"type":"numeric_atoms","value":7174,"base":3}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3799,"base":3}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3124,"base":3},"right_expr":{"type":"numeric_atoms","value":1766,"base":3}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4531,"base":3},"right_expr":{"type":"numeric_atoms","value":1807,"base":3}}}}},"used_operators":["vg4gO5BX6G","5GqDbVmqXU","rysDP5nf3Z","k1SHOSEABc","RabNbG55vr","1aApVXNlOP","ocnLzx9CaJ","rxpJgHHUmx","k7HXdKtiEU","wicAB68Tmb","XnXgA4xnOs","OKKcZfAt5B"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","i8ToyICDmI","xUOZtlo3hN","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3948","layer":4},{"info":"number node, value=2977","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=2977, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=7762","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=7762, right_input=4132, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-9780","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9780, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":1},{"info":"number node, value=2867","layer":4},{"info":"number node, value=7174","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=7174, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3799","layer":4},{"info":"compute unary expreesion, input=3799, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3973","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3973, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=3124","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=1766, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=4637","layer":3},{"info":"number node, value=4531","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=4531, right_input=1807, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8678","layer":3},{"info":"compute binary expreesion, left_input=4637, right_input=-8678, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-53659","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-53659, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12102020⨂≜⫏≰11002021-⫏≰101122111⫣⪄⊒⫏≰12200001)⩁)⊨(⫏≰10221012≭⫏≰100211201)⩼⇪↪(⊲⪭⫏≰12012201)⩇∃⫛(⫏≰11021201⨑≵⋬⫏≰2102102)⪝(⫏≰20012211≝⊿⫏≰2110221)=NaN","reverse_text":"NaN=((⫏≰12102020⨂≜⫏≰11002021-⫏≰101122111⫣⪄⊒⫏≰12200001)⩁)⊨(⫏≰10221012≭⫏≰100211201)⩼⇪↪(⊲⪭⫏≰12012201)⩇∃⫛(⫏≰11021201⨑≵⋬⫏≰2102102)⪝(⫏≰20012211≝⊿⫏≰2110221)","cot":[{"info":"⫏≰12102020⨂≜⫏≰11002021=NaN","layer":3},{"info":"⫏≰101122111⫣⪄⊒⫏≰12200001=⫏≰-111102020","layer":3},{"info":"NaN-⫏≰-111102020=NaN","layer":2},{"info":"NaN⩁=NaN","layer":1},{"info":"⫏≰10221012≭⫏≰100211201=NaN","layer":3},{"info":"⊲⪭⫏≰12012201=⫏≰-12110011","layer":3},{"info":"NaN⩼⇪↪⫏≰-12110011=NaN","layer":2},{"info":"⫏≰11021201⨑≵⋬⫏≰2102102=⫏≰20100202","layer":3},{"info":"⫏≰20012211≝⊿⫏≰2110221=⫏≰-102220102","layer":3},{"info":"⫏≰20100202⪝⫏≰-102220102=⫏≰-2201121101","layer":2},{"info":"NaN⩇∃⫛⫏≰-2201121101=NaN","layer":1},{"info":"NaN⊨NaN=NaN","layer":0}]}
{"id":836,"expression_no_base_symbol":"∤$2366$⩇∃⫛$2929$⪄$4569$⫲≸⪮$1566$↸($7542$⩌⋺$1587$)↞⋁($1574$∪⫐$3464$)","expression":"∤⫏≰10020122⩇∃⫛⫏≰11000111⪄⫏≰20021020⫲≸⪮⫏≰2011000↸(⫏≰101100100⩌⋺⫏≰2011210)↞⋁(⫏≰2011022∪⫐⫏≰11202022)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4873,"operation_count":8,"complexity_ratio":609.125,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2366,"base":3},"right_expr":{"type":"numeric_atoms","value":2929,"base":3}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4569,"base":3},"right_expr":{"type":"numeric_atoms","value":1566,"base":3}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":7542,"base":3},"right_expr":{"type":"numeric_atoms","value":1587,"base":3}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1574,"base":3},"right_expr":{"type":"numeric_atoms","value":3464,"base":3}}}}},"used_operators":["k2HlF1dBQh","1eCjFl0mb9","SUmda5xLS4","1aApVXNlOP","P3lXMJvFrc","RqrPlJkxDo","g7Hmc5v1ko","7YooWSwCyH"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0"],"result":"⫏≰100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2366","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=2929, 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=1036","layer":3},{"info":"number node, value=4569","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=4569, right_input=1566, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4569","layer":3},{"info":"compute binary expreesion, left_input=1036, right_input=4569, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-167693","layer":2},{"info":"number node, value=7542","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=7542, right_input=1587, 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=-9250","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=3464, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1574","layer":3},{"info":"compute binary expreesion, left_input=-9250, right_input=1574, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-167693, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-167693","layer":1},{"info":"compute unary expreesion, input=-167693, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":3,"result_base":3,"text":"∤⫏≰10020122⩇∃⫛⫏≰11000111⪄⫏≰20021020⫲≸⪮⫏≰2011000↸(⫏≰101100100⩌⋺⫏≰2011210)↞⋁(⫏≰2011022∪⫐⫏≰11202022)=⫏≰100","reverse_text":"⫏≰100=∤⫏≰10020122⩇∃⫛⫏≰11000111⪄⫏≰20021020⫲≸⪮⫏≰2011000↸(⫏≰101100100⩌⋺⫏≰2011210)↞⋁(⫏≰2011022∪⫐⫏≰11202022)","cot":[{"info":"⫏≰10020122⩇∃⫛⫏≰11000111=⫏≰1102101","layer":3},{"info":"⫏≰20021020⫲≸⪮⫏≰2011000=⫏≰20021020","layer":3},{"info":"⫏≰1102101⪄⫏≰20021020=⫏≰-22112000212","layer":2},{"info":"⫏≰101100100⩌⋺⫏≰2011210=⫏≰-110200121","layer":3},{"info":"⫏≰2011022∪⫐⫏≰11202022=⫏≰2011022","layer":3},{"info":"⫏≰-110200121↞⋁⫏≰2011022=NaN","layer":2},{"info":"⫏≰-22112000212↸NaN=⫏≰-22112000212","layer":1},{"info":"∤⫏≰-22112000212=⫏≰100","layer":0}]}
{"id":837,"expression_no_base_symbol":"($2644$⊢$3467$⇮⋭$2789$≀⩗∶$1398$)⪟⇏($1139$↺$1566$⨵⪆$2008$⩌⋺$3549$)⫚↹⊑((⋠∜$1545$)⫠↝⫳)⩼⇪↪($4950$⋥⋵⩄$1133$⩌⋺(∟⋨$2257$))","expression":"(⫏≰10121221⊢⫏≰11202102⇮⋭⫏≰10211022≀⩗∶⫏≰1220210)⪟⇏(⫏≰1120012↺⫏≰2011000⨵⪆⫏≰2202101⩌⋺⫏≰11212110)⫚↹⊑((⋠∜⫏≰2010020)⫠↝⫳)⩼⇪↪(⫏≰20210100⋥⋵⩄⫏≰1112222⩌⋺(∟⋨⫏≰10002121))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2491,"operation_count":14,"complexity_ratio":177.92857142857142,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2644,"base":3},"right_expr":{"type":"numeric_atoms","value":3467,"base":3}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2789,"base":3},"right_expr":{"type":"numeric_atoms","value":1398,"base":3}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1139,"base":3},"right_expr":{"type":"numeric_atoms","value":1566,"base":3}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2008,"base":3},"right_expr":{"type":"numeric_atoms","value":3549,"base":3}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1545,"base":3}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4950,"base":3},"right_expr":{"type":"numeric_atoms","value":1133,"base":3}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2257,"base":3}}}}},"used_operators":["dfKe02y8D2","GODebY97qR","vkpjKywKVM","5twsqlHp2o","8INZBEW696","2DQ55sFlQl","7j4O788W3g","g7Hmc5v1ko","ocnLzx9CaJ","8n5YIzOsVS","ZJpFhNJr3x","7t3wd0Fuz7","ctOc4cKSDt"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","tmPS8pqC7x"],"result":"⫏≰-121120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2644","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=3467, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5532","layer":3},{"info":"number node, value=2789","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=1398, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5532, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"number node, value=1139","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1566, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1566","layer":3},{"info":"number node, value=2008","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=3549, 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=-5678","layer":3},{"info":"compute binary expreesion, left_input=1566, right_input=-5678, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=160, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=8464","layer":3},{"info":"compute unary expreesion, input=8464, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=271471","layer":2},{"info":"number node, value=4950","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=4950, right_input=1133, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2257","layer":4},{"info":"compute unary expreesion, input=2257, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1773","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-1773, 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=1539","layer":2},{"info":"compute binary expreesion, left_input=271471, right_input=1539, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=531386","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=531386, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10121221⊢⫏≰11202102⇮⋭⫏≰10211022≀⩗∶⫏≰1220210)⪟⇏(⫏≰1120012↺⫏≰2011000⨵⪆⫏≰2202101⩌⋺⫏≰11212110)⫚↹⊑((⋠∜⫏≰2010020)⫠↝⫳)⩼⇪↪(⫏≰20210100⋥⋵⩄⫏≰1112222⩌⋺(∟⋨⫏≰10002121))=⫏≰-121120","reverse_text":"⫏≰-121120=(⫏≰10121221⊢⫏≰11202102⇮⋭⫏≰10211022≀⩗∶⫏≰1220210)⪟⇏(⫏≰1120012↺⫏≰2011000⨵⪆⫏≰2202101⩌⋺⫏≰11212110)⫚↹⊑((⋠∜⫏≰2010020)⫠↝⫳)⩼⇪↪(⫏≰20210100⋥⋵⩄⫏≰1112222⩌⋺(∟⋨⫏≰10002121))","cot":[{"info":"⫏≰10121221⊢⫏≰11202102=⫏≰-21120220","layer":3},{"info":"⫏≰10211022≀⩗∶⫏≰1220210=⫏≰0","layer":3},{"info":"⫏≰-21120220⇮⋭⫏≰0=⫏≰-122112","layer":2},{"info":"⫏≰1120012↺⫏≰2011000=⫏≰2011000","layer":3},{"info":"⫏≰2202101⩌⋺⫏≰11212110=⫏≰-21210022","layer":3},{"info":"⫏≰2011000⨵⪆⫏≰-21210022=⫏≰12221","layer":2},{"info":"⫏≰-122112⪟⇏⫏≰12221=⫏≰0","layer":1},{"info":"⋠∜⫏≰2010020=⫏≰102121111","layer":3},{"info":"⫏≰102121111⫠↝⫳=⫏≰111210101111","layer":2},{"info":"⫏≰20210100⋥⋵⩄⫏≰1112222=⫏≰11012","layer":3},{"info":"∟⋨⫏≰10002121=⫏≰-2102200","layer":3},{"info":"⫏≰11012⩌⋺⫏≰-2102200=⫏≰2010000","layer":2},{"info":"⫏≰111210101111⩼⇪↪⫏≰2010000=⫏≰222222220222","layer":1},{"info":"⫏≰0⫚↹⊑⫏≰222222220222=⫏≰-121120","layer":0}]}
{"id":838,"expression_no_base_symbol":"(↣≠⋷(($7780$≳⇉$5734$)⨚⇆($1171$≳⇉$3131$)))⋥⋵⩄(↸⊣((↽≂$3652$)⇮⋭$1240$≹⇙⪍$2321$))","expression":"(↣≠⋷((⫏≰101200011≳⇉⫏≰21212101)⨚⇆(⫏≰1121101≳⇉⫏≰11021222)))⋥⋵⩄(↸⊣((↽≂⫏≰12000021)⇮⋭⫏≰1200221≹⇙⪍⫏≰10011222))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":687339092,"operation_count":9,"complexity_ratio":76371010.22222222,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":7780,"base":3},"right_expr":{"type":"numeric_atoms","value":5734,"base":3}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1171,"base":3},"right_expr":{"type":"numeric_atoms","value":3131,"base":3}}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3652,"base":3}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1240,"base":3},"right_expr":{"type":"numeric_atoms","value":2321,"base":3}}}}},"used_operators":["7t3wd0Fuz7","Asc51vEJeQ","lwHaAYXP2r","V0kx6qeWkN","wztAlM01eG","vkpjKywKVM","u6S6b8DprG","AHs5Up7iyr"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","XhwjNDsVaA","AHs5Up7iyr","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7780","layer":4},{"info":"number node, value=5734","layer":4},{"info":"compute binary expreesion, left_input=7780, right_input=5734, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1171","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=3131, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=3652","layer":4},{"info":"compute unary expreesion, input=3652, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7304","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=2321, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7304, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=220","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=220, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↣≠⋷((⫏≰101200011≳⇉⫏≰21212101)⨚⇆(⫏≰1121101≳⇉⫏≰11021222)))⋥⋵⩄(↸⊣((↽≂⫏≰12000021)⇮⋭⫏≰1200221≹⇙⪍⫏≰10011222))=NaN","reverse_text":"NaN=(↣≠⋷((⫏≰101200011≳⇉⫏≰21212101)⨚⇆(⫏≰1121101≳⇉⫏≰11021222)))⋥⋵⩄(↸⊣((↽≂⫏≰12000021)⇮⋭⫏≰1200221≹⇙⪍⫏≰10011222))","cot":[{"info":"⫏≰101200011≳⇉⫏≰21212101=NaN","layer":3},{"info":"⫏≰1121101≳⇉⫏≰11021222=NaN","layer":3},{"info":"NaN⨚⇆NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"↽≂⫏≰12000021=⫏≰-101000112","layer":3},{"info":"⫏≰1200221≹⇙⪍⫏≰10011222=NaN","layer":3},{"info":"⫏≰-101000112⇮⋭NaN=⫏≰2111","layer":2},{"info":"↸⊣⫏≰2111=⫏≰22011","layer":1},{"info":"NaN⋥⋵⩄⫏≰22011=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"((($1962$≠≀$3041$)≝⊿(↨⩢⫨$2550$))⫑%∭)∓⋝(($3666$⫢⨠$1689$)⊲⩕⊾($3211$≎⊠⪸$7417$)⋘⨑⨽)","expression":"(((⫏≰2200200≠≀⫏≰11011122)≝⊿(↨⩢⫨⫏≰10111110))⫑%∭)∓⋝((⫏≰12000210⫢⨠⫏≰2022120)⊲⩕⊾(⫏≰11101221≎⊠⪸⫏≰101011201)⋘⨑⨽)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1455,"operation_count":9,"complexity_ratio":161.66666666666666,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1962,"base":3},"right_expr":{"type":"numeric_atoms","value":3041,"base":3}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":2550,"base":3}}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3666,"base":3},"right_expr":{"type":"numeric_atoms","value":1689,"base":3}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3211,"base":3},"right_expr":{"type":"numeric_atoms","value":7417,"base":3}}}}},"used_operators":["PoHhknlbAi","xUx7qlDO4z","OKKcZfAt5B","IwW236VD4Y","Z5CJsN7DuW","WmT3o8z6ya","DmTXOeWf9t","xlXykHWxX1","bJkvcejdHO"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","12rbrZMWeM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1962","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=3041, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3618","layer":3},{"info":"number node, value=2550","layer":4},{"info":"compute unary expreesion, input=2550, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3618, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=3085","layer":2},{"info":"compute unary expreesion, input=3085, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"number node, value=3666","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=3666, right_input=1689, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3211","layer":4},{"info":"number node, value=7417","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=7417, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=831176","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=831176, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-8310950","layer":2},{"info":"compute unary expreesion, input=-8310950, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-41553967","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-41553967, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2200200≠≀⫏≰11011122)≝⊿(↨⩢⫨⫏≰10111110))⫑%∭)∓⋝((⫏≰12000210⫢⨠⫏≰2022120)⊲⩕⊾(⫏≰11101221≎⊠⪸⫏≰101011201)⋘⨑⨽)=⫏≰2111","reverse_text":"⫏≰2111=(((⫏≰2200200≠≀⫏≰11011122)≝⊿(↨⩢⫨⫏≰10111110))⫑%∭)∓⋝((⫏≰12000210⫢⨠⫏≰2022120)⊲⩕⊾(⫏≰11101221≎⊠⪸⫏≰101011201)⋘⨑⨽)","cot":[{"info":"⫏≰2200200≠≀⫏≰11011122=⫏≰-11222000","layer":3},{"info":"↨⩢⫨⫏≰10111110=⫏≰0","layer":3},{"info":"⫏≰-11222000≝⊿⫏≰0=⫏≰11020021","layer":2},{"info":"⫏≰11020021⫑%∭=NaN","layer":1},{"info":"⫏≰12000210⫢⨠⫏≰2022120=⫏≰12221","layer":3},{"info":"⫏≰11101221≎⊠⪸⫏≰101011201=⫏≰1120020011022","layer":3},{"info":"⫏≰12221⊲⩕⊾⫏≰1120020011022=⫏≰-120122020110222","layer":2},{"info":"⫏≰-120122020110222⋘⨑⨽=⫏≰-2220012011022211","layer":1},{"info":"NaN∓⋝⫏≰-2220012011022211=⫏≰2111","layer":0}]}
{"id":840,"expression_no_base_symbol":"(⫛⫱⨽(($1867$⫳≱↱$1697$)⩧⪆$2316$⪮%⊝$2825$))⨔≚≋((↩($5255$≬⋮$5447$))⩚⊴⇥((⊑$1435$)≃($1640$⨔≚≋$7349$)))","expression":"(⫛⫱⨽((⫏≰2120011⫳≱↱⫏≰2022212)⩧⪆⫏≰10011210⪮%⊝⫏≰10212122))⨔≚≋((↩(⫏≰21012122≬⋮⫏≰21110202))⩚⊴⇥((⊑⫏≰1222011)≃(⫏≰2020202⨔≚≋⫏≰101002012)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2291,"operation_count":11,"complexity_ratio":208.27272727272728,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1867,"base":3},"right_expr":{"type":"numeric_atoms","value":1697,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2316,"base":3},"right_expr":{"type":"numeric_atoms","value":2825,"base":3}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5255,"base":3},"right_expr":{"type":"numeric_atoms","value":5447,"base":3}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1435,"base":3}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1640,"base":3},"right_expr":{"type":"numeric_atoms","value":7349,"base":3}}}}},"used_operators":["Z57zeUYC9z","DlLNRPXxWL","Ikt5ks8PT7","ZvLB05nZmT","IWmyXbctLI","NTOWxs364D","jLgFTUHLKL","kbkesczE7y","YbVcJGFEVW","IkUmn0D7oy"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rGHVDoGpnC","eewbuw0ToL","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⫏≰-2010000120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1867","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=1697, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2316","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=2316, right_input=2825, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4948","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=4948, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4948","layer":2},{"info":"compute unary expreesion, input=-4948, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=5255","layer":4},{"info":"number node, value=5447","layer":4},{"info":"compute binary expreesion, left_input=5255, right_input=5447, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-4164","layer":2},{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1640","layer":4},{"info":"number node, value=7349","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=7349, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=9872, 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=-808","layer":2},{"info":"compute binary expreesion, left_input=-4164, right_input=-808, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=4851","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4851, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-41568","layer":0}],"base":3,"result_base":3,"text":"(⫛⫱⨽((⫏≰2120011⫳≱↱⫏≰2022212)⩧⪆⫏≰10011210⪮%⊝⫏≰10212122))⨔≚≋((↩(⫏≰21012122≬⋮⫏≰21110202))⩚⊴⇥((⊑⫏≰1222011)≃(⫏≰2020202⨔≚≋⫏≰101002012)))=⫏≰-2010000120","reverse_text":"⫏≰-2010000120=(⫛⫱⨽((⫏≰2120011⫳≱↱⫏≰2022212)⩧⪆⫏≰10011210⪮%⊝⫏≰10212122))⨔≚≋((↩(⫏≰21012122≬⋮⫏≰21110202))⩚⊴⇥((⊑⫏≰1222011)≃(⫏≰2020202⨔≚≋⫏≰101002012)))","cot":[{"info":"⫏≰2120011⫳≱↱⫏≰2022212=⫏≰-21120","layer":3},{"info":"⫏≰10011210⪮%⊝⫏≰10212122=⫏≰20210021","layer":3},{"info":"⫏≰-21120⩧⪆⫏≰20210021=⫏≰-20210021","layer":2},{"info":"⫛⫱⨽⫏≰-20210021=⫏≰0","layer":1},{"info":"⫏≰21012122≬⋮⫏≰21110202=⫏≰1012011","layer":3},{"info":"↩⫏≰1012011=⫏≰-12201020","layer":2},{"info":"⊑⫏≰1222011=⫏≰21010","layer":3},{"info":"⫏≰2020202⨔≚≋⫏≰101002012=⫏≰111112122","layer":3},{"info":"⫏≰21010≃⫏≰111112122=⫏≰-1002221","layer":2},{"info":"⫏≰-12201020⩚⊴⇥⫏≰-1002221=⫏≰20122200","layer":1},{"info":"⫏≰0⨔≚≋⫏≰20122200=⫏≰-2010000120","layer":0}]}
{"id":841,"expression_no_base_symbol":"((⫡⇟⇯$2049$)≥⨤⩑($3138$∲⫓$8863$))⪭((⩒∊$1420$)⨰$1383$⨑⩅≇$9246$)↸(≋(≀↧⇸$1618$⨿$1635$))","expression":"((⫡⇟⇯⫏≰2210220)≥⨤⩑(⫏≰11022020∲⫓⫏≰110011021))⪭((⩒∊⫏≰1221121)⨰⫏≰1220020⨑⩅≇⫏≰110200110)↸(≋(≀↧⇸⫏≰2012221⨿⫏≰2020120))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9571,"operation_count":11,"complexity_ratio":870.0909090909091,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2049,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3138,"base":3},"right_expr":{"type":"numeric_atoms","value":8863,"base":3}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1420,"base":3}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1383,"base":3},"right_expr":{"type":"numeric_atoms","value":9246,"base":3}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1618,"base":3},"right_expr":{"type":"numeric_atoms","value":1635,"base":3}}}}},"used_operators":["1eCjFl0mb9","j9kHMeSvPp","gJLn6v0xnP","qWUSsah53b","i8ToyICDmI","eewbuw0ToL","qazvmhNBbN","h92wMvzauj","61wBmkZwlr","ljTHtUsqzn","abYXlopdE0"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","COABgblf1C","xUOZtlo3hN","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","7j4O788W3g","XPYlsWDdGa","23Mk6UjR3U","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⫏≰12","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4966","layer":3},{"info":"number node, value=3138","layer":4},{"info":"number node, value=8863","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=8863, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4966, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2083","layer":3},{"info":"number node, value=1383","layer":4},{"info":"number node, value=9246","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=9246, 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=-4149","layer":3},{"info":"compute binary expreesion, left_input=2083, right_input=-4149, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6242","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=6242, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=1618","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=1635, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=1276","layer":2},{"info":"compute unary expreesion, input=1276, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1276","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=1276, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5","layer":0}],"base":3,"result_base":3,"text":"((⫡⇟⇯⫏≰2210220)≥⨤⩑(⫏≰11022020∲⫓⫏≰110011021))⪭((⩒∊⫏≰1221121)⨰⫏≰1220020⨑⩅≇⫏≰110200110)↸(≋(≀↧⇸⫏≰2012221⨿⫏≰2020120))=⫏≰12","reverse_text":"⫏≰12=((⫡⇟⇯⫏≰2210220)≥⨤⩑(⫏≰11022020∲⫓⫏≰110011021))⪭((⩒∊⫏≰1221121)⨰⫏≰1220020⨑⩅≇⫏≰110200110)↸(≋(≀↧⇸⫏≰2012221⨿⫏≰2020120))","cot":[{"info":"⫡⇟⇯⫏≰2210220=⫏≰20210221","layer":3},{"info":"⫏≰11022020∲⫓⫏≰110011021=⫏≰0","layer":3},{"info":"⫏≰20210221≥⨤⩑⫏≰0=⫏≰1200201","layer":2},{"info":"⩒∊⫏≰1221121=⫏≰2212011","layer":3},{"info":"⫏≰1220020⨑⩅≇⫏≰110200110=⫏≰-12200200","layer":3},{"info":"⫏≰2212011⨰⫏≰-12200200=⫏≰22120012","layer":2},{"info":"⫏≰1200201⪭⫏≰22120012=⫏≰12","layer":1},{"info":"⫏≰2012221⨿⫏≰2020120=⫏≰-102211","layer":3},{"info":"≀↧⇸⫏≰-102211=⫏≰1202021","layer":2},{"info":"≋⫏≰1202021=⫏≰1202021","layer":1},{"info":"⫏≰12↸⫏≰1202021=⫏≰12","layer":0}]}
{"id":842,"expression_no_base_symbol":"((⨞⊢($5388$↠))⪛(∂$5661$)⊉↱≁($1555$∌↝$2179$))⊫∞","expression":"((⨞⊢(⫏≰21101120↠))⪛(∂⫏≰21202200)⊉↱≁(⫏≰2010121∌↝⫏≰2222201))⊫∞","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23200,"operation_count":7,"complexity_ratio":3314.285714285714,"tree":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":5388,"base":3}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5661,"base":3}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1555,"base":3},"right_expr":{"type":"numeric_atoms","value":2179,"base":3}}}}},"used_operators":["pABnYW3G3E","uFcxV4UQCh","xUOZtlo3hN","LBdsKIvxzf","w2P8NbNXyL","Uaa54Peajs","9Isq31Ruls"],"dependent_operators":["fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=5388","layer":4},{"info":"compute unary expreesion, input=5388, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=273","layer":2},{"info":"number node, value=5661","layer":4},{"info":"compute unary expreesion, input=5661, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1555","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=2179, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=273, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⨞⊢(⫏≰21101120↠))⪛(∂⫏≰21202200)⊉↱≁(⫏≰2010121∌↝⫏≰2222201))⊫∞=NaN","reverse_text":"NaN=((⨞⊢(⫏≰21101120↠))⪛(∂⫏≰21202200)⊉↱≁(⫏≰2010121∌↝⫏≰2222201))⊫∞","cot":[{"info":"⫏≰21101120↠=⫏≰-121120","layer":3},{"info":"⨞⊢⫏≰-121120=⫏≰101010","layer":2},{"info":"∂⫏≰21202200=NaN","layer":3},{"info":"⫏≰2010121∌↝⫏≰2222201=⫏≰0","layer":3},{"info":"NaN⊉↱≁⫏≰0=NaN","layer":2},{"info":"⫏≰101010⪛NaN=NaN","layer":1},{"info":"NaN⊫∞=NaN","layer":0}]}
{"id":843,"expression_no_base_symbol":"(($4870$⊹≧⊝)⪒⊣⊆($9347$⨭⪣$1859$)⩤)≁↽≥(⪝⪂⫅($3038$∳⫺$4210$⩹$3897$⨒$2896$))","expression":"((⫏≰20200101⊹≧⊝)⪒⊣⊆(⫏≰110211012⨭⪣⫏≰2112212)⩤)≁↽≥(⪝⪂⫅(⫏≰11011112∳⫺⫏≰12202221⩹⫏≰12100100⨒⫏≰10222021))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":322,"operation_count":9,"complexity_ratio":35.77777777777778,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":4870,"base":3}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":9347,"base":3},"right_expr":{"type":"numeric_atoms","value":1859,"base":3}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3038,"base":3},"right_expr":{"type":"numeric_atoms","value":4210,"base":3}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3897,"base":3},"right_expr":{"type":"numeric_atoms","value":2896,"base":3}}}}},"used_operators":["ncHt1X6cMc","Z2TMIBDE3Q","eRqsBgTDFp","LxFB4K6j0n","kn8WO9XteQ","XTarYq4gQB","2Wsdkap16l","AzXXKTstlj","y75s1iXyHd"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⫏≰-1112120010201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4870","layer":4},{"info":"compute unary expreesion, input=4870, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-19480","layer":3},{"info":"number node, value=9347","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=9347, right_input=1859, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=8068","layer":3},{"info":"compute binary expreesion, left_input=-19480, right_input=8068, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=55198","layer":2},{"info":"compute unary expreesion, input=55198, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-55198","layer":1},{"info":"number node, value=3038","layer":4},{"info":"number node, value=4210","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=4210, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3897","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=3897, right_input=2896, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-23010","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-23010, 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=-23012","layer":2},{"info":"compute unary expreesion, input=-23012, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3382764","layer":1},{"info":"compute binary expreesion, left_input=-55198, right_input=3382764, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-818038","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20200101⊹≧⊝)⪒⊣⊆(⫏≰110211012⨭⪣⫏≰2112212)⩤)≁↽≥(⪝⪂⫅(⫏≰11011112∳⫺⫏≰12202221⩹⫏≰12100100⨒⫏≰10222021))=⫏≰-1112120010201","reverse_text":"⫏≰-1112120010201=((⫏≰20200101⊹≧⊝)⪒⊣⊆(⫏≰110211012⨭⪣⫏≰2112212)⩤)≁↽≥(⪝⪂⫅(⫏≰11011112∳⫺⫏≰12202221⩹⫏≰12100100⨒⫏≰10222021))","cot":[{"info":"⫏≰20200101⊹≧⊝=⫏≰-222201111","layer":3},{"info":"⫏≰110211012⨭⪣⫏≰2112212=⫏≰102001211","layer":3},{"info":"⫏≰-222201111⪒⊣⊆⫏≰102001211=⫏≰2210201101","layer":2},{"info":"⫏≰2210201101⩤=⫏≰-2210201101","layer":1},{"info":"⫏≰11011112∳⫺⫏≰12202221=⫏≰-100122","layer":3},{"info":"⫏≰12100100⨒⫏≰10222021=⫏≰-1011120020","layer":3},{"info":"⫏≰-100122⩹⫏≰-1011120020=⫏≰-1011120022","layer":2},{"info":"⪝⪂⫅⫏≰-1011120022=⫏≰20100212021120","layer":1},{"info":"⫏≰-2210201101≁↽≥⫏≰20100212021120=⫏≰-1112120010201","layer":0}]}
{"id":844,"expression_no_base_symbol":"((⇉-⫰$5126$)⪔$3834$⪮%⊝$5324$⪁$2879$∇⊂⋱$4677$⋣⋖($4417$≬⇓$6002$))∳⫺(($4801$∛$1795$⨴∎)⇴∐($4210$⩧⪆$2570$)∳⫺($3000$⫔⩽⩺$3918$))","expression":"((⇉-⫰⫏≰21000212)⪔⫏≰12021000⪮%⊝⫏≰21022012⪁⫏≰10221122∇⊂⋱⫏≰20102020⋣⋖(⫏≰20001121≬⇓⫏≰22020022))∳⫺((⫏≰20120211∛⫏≰2110111⨴∎)⇴∐(⫏≰12202221⩧⪆⫏≰10112012)∳⫺(⫏≰11010010⫔⩽⩺⫏≰12101010))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":398253370,"operation_count":14,"complexity_ratio":28446669.285714287,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":5126,"base":3}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3834,"base":3},"right_expr":{"type":"numeric_atoms","value":5324,"base":3}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2879,"base":3},"right_expr":{"type":"numeric_atoms","value":4677,"base":3}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4417,"base":3},"right_expr":{"type":"numeric_atoms","value":6002,"base":3}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4801,"base":3},"right_expr":{"type":"numeric_atoms","value":1795,"base":3}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4210,"base":3},"right_expr":{"type":"numeric_atoms","value":2570,"base":3}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3000,"base":3},"right_expr":{"type":"numeric_atoms","value":3918,"base":3}}}}},"used_operators":["AzXXKTstlj","I7sXao9hZE","GjBEYRfMaF","IGFM8TAlm9","IWmyXbctLI","J0M6qkBnIM","nhYeJWJD5X","jWTQ2TZYIH","HnzytWxmAO","CpSg5vQTgA","w2537kitQq","Ikt5ks8PT7","i9eR4S00cU"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eewbuw0ToL","t8gj7n24qd","Tw270M8GLb","fu6greOZ01"],"result":"⫏≰-100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5126","layer":4},{"info":"compute unary expreesion, input=5126, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=3834","layer":4},{"info":"number node, value=5324","layer":4},{"info":"compute binary expreesion, left_input=3834, right_input=5324, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7984","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=7984, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=2879","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=4677, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5212","layer":3},{"info":"number node, value=4417","layer":4},{"info":"number node, value=6002","layer":4},{"info":"compute binary expreesion, left_input=4417, right_input=6002, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=5212, right_input=-22, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5212","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=5212, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=4801","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=1795, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=-667","layer":2},{"info":"number node, value=4210","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=2570, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2570","layer":3},{"info":"number node, value=3000","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=3918, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2570, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-667, right_input=-260, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":3,"result_base":3,"text":"((⇉-⫰⫏≰21000212)⪔⫏≰12021000⪮%⊝⫏≰21022012⪁⫏≰10221122∇⊂⋱⫏≰20102020⋣⋖(⫏≰20001121≬⇓⫏≰22020022))∳⫺((⫏≰20120211∛⫏≰2110111⨴∎)⇴∐(⫏≰12202221⩧⪆⫏≰10112012)∳⫺(⫏≰11010010⫔⩽⩺⫏≰12101010))=⫏≰-100122","reverse_text":"⫏≰-100122=((⇉-⫰⫏≰21000212)⪔⫏≰12021000⪮%⊝⫏≰21022012⪁⫏≰10221122∇⊂⋱⫏≰20102020⋣⋖(⫏≰20001121≬⇓⫏≰22020022))∳⫺((⫏≰20120211∛⫏≰2110111⨴∎)⇴∐(⫏≰12202221⩧⪆⫏≰10112012)∳⫺(⫏≰11010010⫔⩽⩺⫏≰12101010))","cot":[{"info":"⇉-⫰⫏≰21000212=⫏≰202","layer":3},{"info":"⫏≰12021000⪮%⊝⫏≰21022012=⫏≰101221201","layer":3},{"info":"⫏≰202⪔⫏≰101221201=⫏≰121200","layer":2},{"info":"⫏≰10221122∇⊂⋱⫏≰20102020=⫏≰21011001","layer":3},{"info":"⫏≰20001121≬⇓⫏≰22020022=⫏≰-211","layer":3},{"info":"⫏≰21011001⋣⋖⫏≰-211=⫏≰21011001","layer":2},{"info":"⫏≰121200⪁⫏≰21011001=NaN","layer":1},{"info":"⫏≰20120211∛⫏≰2110111=⫏≰-220211","layer":3},{"info":"⫏≰-220211⨴∎=⫏≰-220201","layer":2},{"info":"⫏≰12202221⩧⪆⫏≰10112012=⫏≰-10112012","layer":3},{"info":"⫏≰11010010⫔⩽⩺⫏≰12101010=NaN","layer":3},{"info":"⫏≰-10112012∳⫺NaN=⫏≰-100122","layer":2},{"info":"⫏≰-220201⇴∐⫏≰-100122=⫏≰-11022","layer":1},{"info":"NaN∳⫺⫏≰-11022=⫏≰-100122","layer":0}]}
{"id":845,"expression_no_base_symbol":"($4762$⫸⇳$1325$*($2373$⊭↱$2456$)⊭↱$2027$∛$3082$⋳⪒$3944$⋾⨃∁$3328$)⪬(($7516$→⨶⪴$1963$⋭≵$4147$⋣⋖$1708$)⪮%⊝($3910$⨜⨶$4158$⫸⊐$1021$⨓$2835$))","expression":"(⫏≰20112101⫸⇳⫏≰1211002*(⫏≰10020220⊭↱⫏≰10100222)⊭↱⫏≰2210002∛⫏≰11020011⋳⪒⫏≰12102002⋾⨃∁⫏≰11120021)⪬((⫏≰101022101→⨶⪴⫏≰2200201⋭≵⫏≰12200121⋣⋖⫏≰2100021)⪮%⊝(⫏≰12100211⨜⨶⫏≰12201000⫸⊐⫏≰1101211⨓⫏≰10220000))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6976,"operation_count":15,"complexity_ratio":465.06666666666666,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4762,"base":3},"right_expr":{"type":"numeric_atoms","value":1325,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2373,"base":3},"right_expr":{"type":"numeric_atoms","value":2456,"base":3}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2027,"base":3},"right_expr":{"type":"numeric_atoms","value":3082,"base":3}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3944,"base":3},"right_expr":{"type":"numeric_atoms","value":3328,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":7516,"base":3},"right_expr":{"type":"numeric_atoms","value":1963,"base":3}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4147,"base":3},"right_expr":{"type":"numeric_atoms","value":1708,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3910,"base":3},"right_expr":{"type":"numeric_atoms","value":4158,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1021,"base":3},"right_expr":{"type":"numeric_atoms","value":2835,"base":3}}}}},"used_operators":["Ez1Nq5fNfI","COABgblf1C","9HNa5Wba9A","gx7XJ7hdpj","12rbrZMWeM","w2537kitQq","212REbPD9h","IWmyXbctLI","jBncVCNhdl","bF6eod5Gvf","J0M6qkBnIM","mqXw5SEYmG","HiPekx5b7W","3ViojmjbAp"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4762","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=4762, right_input=1325, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2373","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=2456, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=171","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=171, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2027","layer":4},{"info":"number node, value=3082","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=3082, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=3944","layer":4},{"info":"number node, value=3328","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=3328, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=110715810","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=110715810, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-110717437","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-110717437, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-221434869","layer":1},{"info":"number node, value=7516","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=7516, right_input=1963, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5889","layer":3},{"info":"number node, value=4147","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=1708, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4147","layer":3},{"info":"compute binary expreesion, left_input=-5889, right_input=4147, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=3910","layer":4},{"info":"number node, value=4158","layer":4},{"info":"compute binary expreesion, left_input=3910, right_input=4158, 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=-8060","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=2835, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2838","layer":3},{"info":"compute binary expreesion, left_input=-8060, right_input=-2838, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=968, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=-221434869, right_input=450, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20112101⫸⇳⫏≰1211002*(⫏≰10020220⊭↱⫏≰10100222)⊭↱⫏≰2210002∛⫏≰11020011⋳⪒⫏≰12102002⋾⨃∁⫏≰11120021)⪬((⫏≰101022101→⨶⪴⫏≰2200201⋭≵⫏≰12200121⋣⋖⫏≰2100021)⪮%⊝(⫏≰12100211⨜⨶⫏≰12201000⫸⊐⫏≰1101211⨓⫏≰10220000))=⫏≰1200201","reverse_text":"⫏≰1200201=(⫏≰20112101⫸⇳⫏≰1211002*(⫏≰10020220⊭↱⫏≰10100222)⊭↱⫏≰2210002∛⫏≰11020011⋳⪒⫏≰12102002⋾⨃∁⫏≰11120021)⪬((⫏≰101022101→⨶⪴⫏≰2200201⋭≵⫏≰12200121⋣⋖⫏≰2100021)⪮%⊝(⫏≰12100211⨜⨶⫏≰12201000⫸⊐⫏≰1101211⨓⫏≰10220000))","cot":[{"info":"⫏≰20112101⫸⇳⫏≰1211002=⫏≰0","layer":3},{"info":"⫏≰10020220⊭↱⫏≰10100222=⫏≰20100","layer":3},{"info":"⫏≰0*⫏≰20100=⫏≰0","layer":2},{"info":"⫏≰2210002∛⫏≰11020011=⫏≰-220211","layer":3},{"info":"⫏≰12102002⋾⨃∁⫏≰11120021=⫏≰21201022221112120","layer":3},{"info":"⫏≰-220211⋳⪒⫏≰21201022221112120=⫏≰-21201100000202211","layer":2},{"info":"⫏≰0⊭↱⫏≰-21201100000202211=⫏≰-120102200001112110","layer":1},{"info":"⫏≰101022101→⨶⪴⫏≰2200201=⫏≰-22002010","layer":3},{"info":"⫏≰12200121⋣⋖⫏≰2100021=⫏≰12200121","layer":3},{"info":"⫏≰-22002010⋭≵⫏≰12200121=⫏≰2111","layer":2},{"info":"⫏≰12100211⨜⨶⫏≰12201000=⫏≰-102001112","layer":3},{"info":"⫏≰1101211⨓⫏≰10220000=⫏≰-10220010","layer":3},{"info":"⫏≰-102001112⫸⊐⫏≰-10220010=⫏≰1022212","layer":2},{"info":"⫏≰2111⪮%⊝⫏≰1022212=⫏≰121200","layer":1},{"info":"⫏≰-120102200001112110⪬⫏≰121200=⫏≰1200201","layer":0}]}
{"id":846,"expression_no_base_symbol":"(⊖∈(≉$2521$∝$5611$))⫩⊇","expression":"(⊖∈(≉⫏≰10110101∝⫏≰21200211))⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":69,"operation_count":4,"complexity_ratio":17.25,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2521,"base":3},"right_expr":{"type":"numeric_atoms","value":5611,"base":3}}}}},"used_operators":["BjRHVeLaeN","YFxL8Sc2Zy","e1ybzncUwg","cTDWOvIxvz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⫏≰-2211010201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2521","layer":4},{"info":"number node, value=5611","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=5611, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2526","layer":3},{"info":"compute unary expreesion, input=2526, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3057","layer":2},{"info":"compute unary expreesion, input=3057, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=55546","layer":1},{"info":"compute unary expreesion, input=55546, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-55504","layer":0}],"base":3,"result_base":3,"text":"(⊖∈(≉⫏≰10110101∝⫏≰21200211))⫩⊇=⫏≰-2211010201","reverse_text":"⫏≰-2211010201=(⊖∈(≉⫏≰10110101∝⫏≰21200211))⫩⊇","cot":[{"info":"⫏≰10110101∝⫏≰21200211=⫏≰10110120","layer":3},{"info":"≉⫏≰10110120=⫏≰11012020","layer":2},{"info":"⊖∈⫏≰11012020=⫏≰2211012021","layer":1},{"info":"⫏≰2211012021⫩⊇=⫏≰-2211010201","layer":0}]}
{"id":847,"expression_no_base_symbol":"(⩎⋉($2973$⇮⋭$3419$↰))≬⇓(($6984$∙⊟$2041$)∙⊟($1143$⊭↱$2224$))⨥⫆(($1264$⋓$4151$)⪢($1017$≄⊠$2685$))","expression":"(⩎⋉(⫏≰11002010⇮⋭⫏≰11200122↰))≬⇓((⫏≰100120200∙⊟⫏≰2210121)∙⊟(⫏≰1120100⊭↱⫏≰10001101))⨥⫆((⫏≰1201211⋓⫏≰12200202)⪢(⫏≰1101200≄⊠⫏≰10200110))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":155613,"operation_count":11,"complexity_ratio":14146.636363636364,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2973,"base":3},"right_expr":{"type":"numeric_atoms","value":3419,"base":3}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":6984,"base":3},"right_expr":{"type":"numeric_atoms","value":2041,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1143,"base":3},"right_expr":{"type":"numeric_atoms","value":2224,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1264,"base":3},"right_expr":{"type":"numeric_atoms","value":4151,"base":3}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1017,"base":3},"right_expr":{"type":"numeric_atoms","value":2685,"base":3}}}}},"used_operators":["jWTQ2TZYIH","FlXk3pOYe8","bl5wxAcryP","vkpjKywKVM","yXekIHxTD4","SxTAKzQCrw","COABgblf1C","dWAJyo7jo9","T2fj7uvVaJ","vXNesLlMH1"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","nCS4ZIUYfx","Z2TMIBDE3Q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⫏≰-10001100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2973","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=3419, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-574","layer":2},{"info":"compute unary expreesion, input=-574, 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":1},{"info":"number node, value=6984","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=6984, right_input=2041, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=100638","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=2224, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2167","layer":3},{"info":"compute binary expreesion, left_input=100638, right_input=2167, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=1318140","layer":2},{"info":"number node, value=1264","layer":4},{"info":"number node, value=4151","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=4151, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=2685, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=47628","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=47628, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1318140, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-2223","layer":0}],"base":3,"result_base":3,"text":"(⩎⋉(⫏≰11002010⇮⋭⫏≰11200122↰))≬⇓((⫏≰100120200∙⊟⫏≰2210121)∙⊟(⫏≰1120100⊭↱⫏≰10001101))⨥⫆((⫏≰1201211⋓⫏≰12200202)⪢(⫏≰1101200≄⊠⫏≰10200110))=⫏≰-10001100","reverse_text":"⫏≰-10001100=(⩎⋉(⫏≰11002010⇮⋭⫏≰11200122↰))≬⇓((⫏≰100120200∙⊟⫏≰2210121)∙⊟(⫏≰1120100⊭↱⫏≰10001101))⨥⫆((⫏≰1201211⋓⫏≰12200202)⪢(⫏≰1101200≄⊠⫏≰10200110))","cot":[{"info":"⫏≰11002010⇮⋭⫏≰11200122=⫏≰-122112","layer":3},{"info":"⫏≰-122112↰=⫏≰-210021","layer":2},{"info":"⩎⋉⫏≰-210021=⫏≰2021010","layer":1},{"info":"⫏≰100120200∙⊟⫏≰2210121=⫏≰12010001100","layer":3},{"info":"⫏≰1120100⊭↱⫏≰10001101=⫏≰2222021","layer":3},{"info":"⫏≰12010001100∙⊟⫏≰2222021=⫏≰2110222011000","layer":2},{"info":"⫏≰1201211⋓⫏≰12200202=⫏≰0","layer":3},{"info":"⫏≰1101200≄⊠⫏≰10200110=⫏≰2102100000","layer":3},{"info":"⫏≰0⪢⫏≰2102100000=NaN","layer":2},{"info":"⫏≰2110222011000⨥⫆NaN=NaN","layer":1},{"info":"⫏≰2021010≬⇓NaN=⫏≰-10001100","layer":0}]}
{"id":848,"expression_no_base_symbol":"(⨆≐≲(⫯($1000$⪨⊡$1310$)))⇤((($1006$⪘⨀)⨭⪣(⊁⨺$3910$))∵≐)","expression":"(⨆≐≲(⫯(⫏≰1101001⪨⊡⫏≰1210112)))⇤(((⫏≰1101021⪘⨀)⨭⪣(⊁⨺⫏≰12100211))∵≐)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":202,"operation_count":8,"complexity_ratio":25.25,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1000,"base":3},"right_expr":{"type":"numeric_atoms","value":1310,"base":3}}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1006,"base":3}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":3910,"base":3}}}}},"used_operators":["YSKBFp38Pu","Bi9z9uYZqW","H6BK1Evt7c","kuIXHzHcAH","59igzFyhWz","kn8WO9XteQ","aA7tF3KVD3","PxiHyQbrIp"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫏≰1120202002022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1310, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2593","layer":3},{"info":"number node, value=3910","layer":4},{"info":"compute unary expreesion, input=3910, 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":3},{"info":"compute binary expreesion, left_input=-2593, right_input=160, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1798","layer":2},{"info":"compute unary expreesion, input=1798, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=852","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=852, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=841328","layer":0}],"base":3,"result_base":3,"text":"(⨆≐≲(⫯(⫏≰1101001⪨⊡⫏≰1210112)))⇤(((⫏≰1101021⪘⨀)⨭⪣(⊁⨺⫏≰12100211))∵≐)=⫏≰1120202002022","reverse_text":"⫏≰1120202002022=(⨆≐≲(⫯(⫏≰1101001⪨⊡⫏≰1210112)))⇤(((⫏≰1101021⪘⨀)⨭⪣(⊁⨺⫏≰12100211))∵≐)","cot":[{"info":"⫏≰1101001⪨⊡⫏≰1210112=⫏≰0","layer":3},{"info":"⫯⫏≰0=NaN","layer":2},{"info":"⨆≐≲NaN=⫏≰-22120012112","layer":1},{"info":"⫏≰1101021⪘⨀=⫏≰-10120001","layer":3},{"info":"⊁⨺⫏≰12100211=⫏≰12221","layer":3},{"info":"⫏≰-10120001⨭⪣⫏≰12221=⫏≰2110121","layer":2},{"info":"⫏≰2110121∵≐=⫏≰1011120","layer":1},{"info":"⫏≰-22120012112⇤⫏≰1011120=⫏≰1120202002022","layer":0}]}
{"id":849,"expression_no_base_symbol":"(($4937$⩼⇪↪$8669$↛⩡⫤)⊾⪯⋞$2250$⨥⫆$1339$≀⩗∶$2192$⪡$1177$)∘(⪁⇼($4549$≧⫂∧$4664$≣⋋))","expression":"((⫏≰20202212⩼⇪↪⫏≰102220002↛⩡⫤)⊾⪯⋞⫏≰10002100⨥⫆⫏≰1211121≀⩗∶⫏≰10000012⪡⫏≰1121121)∘(⪁⇼(⫏≰20020111≧⫂∧⫏≰20101202≣⋋))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":155532,"operation_count":10,"complexity_ratio":15553.2,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4937,"base":3},"right_expr":{"type":"numeric_atoms","value":8669,"base":3}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2250,"base":3},"right_expr":{"type":"numeric_atoms","value":1339,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2192,"base":3},"right_expr":{"type":"numeric_atoms","value":1177,"base":3}}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4549,"base":3},"right_expr":{"type":"numeric_atoms","value":4664,"base":3}}}}},"used_operators":["Z5m6OM72h2","HK0tfVPux8","FU0Cs4j7VP","ocnLzx9CaJ","8INZBEW696","yXekIHxTD4","oraRL2iQuh","ZNVVrZ94lY","Tcnh7f0tEr","Ph9nP6C5qx"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰1122101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4937","layer":4},{"info":"number node, value=8669","layer":4},{"info":"compute binary expreesion, left_input=4937, right_input=8669, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-51592","layer":3},{"info":"compute unary expreesion, input=-51592, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=135","layer":2},{"info":"number node, value=2250","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=1339, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2554","layer":3},{"info":"number node, value=2192","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=1177, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=2554, right_input=107, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=135, right_input=0, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":1},{"info":"number node, value=4549","layer":4},{"info":"number node, value=4664","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=4664, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4191","layer":3},{"info":"compute unary expreesion, input=4191, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute binary expreesion, left_input=-818, right_input=422, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=1198","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20202212⩼⇪↪⫏≰102220002↛⩡⫤)⊾⪯⋞⫏≰10002100⨥⫆⫏≰1211121≀⩗∶⫏≰10000012⪡⫏≰1121121)∘(⪁⇼(⫏≰20020111≧⫂∧⫏≰20101202≣⋋))=⫏≰1122101","reverse_text":"⫏≰1122101=((⫏≰20202212⩼⇪↪⫏≰102220002↛⩡⫤)⊾⪯⋞⫏≰10002100⨥⫆⫏≰1211121≀⩗∶⫏≰10000012⪡⫏≰1121121)∘(⪁⇼(⫏≰20020111≧⫂∧⫏≰20101202≣⋋))","cot":[{"info":"⫏≰20202212⩼⇪↪⫏≰102220002=⫏≰-2121202211","layer":3},{"info":"⫏≰-2121202211↛⩡⫤=⫏≰12000","layer":2},{"info":"⫏≰10002100⨥⫆⫏≰1211121=⫏≰10111121","layer":3},{"info":"⫏≰10000012⪡⫏≰1121121=⫏≰10222","layer":3},{"info":"⫏≰10111121≀⩗∶⫏≰10222=⫏≰0","layer":2},{"info":"⫏≰12000⊾⪯⋞⫏≰0=⫏≰-1010022","layer":1},{"info":"⫏≰20020111≧⫂∧⫏≰20101202=⫏≰12202020","layer":3},{"info":"⫏≰12202020≣⋋=⫏≰0","layer":2},{"info":"⪁⇼⫏≰0=⫏≰120122","layer":1},{"info":"⫏≰-1010022∘⫏≰120122=⫏≰1122101","layer":0}]}
{"id":850,"expression_no_base_symbol":"($5095$⨰$1694$)⩇∃⫛($1757$∖$1864$)⋓($5292$⩁⩘$1163$⫚↹⊑(↪⫪⫘$2087$))⫚↹⊑((⫟$2153$)⊭↱($1342$∲⫓$1195$))⨓(($1423$⨒$1436$)⨔≚≋($3416$⪹))","expression":"(⫏≰20222201⨰⫏≰2022202)⩇∃⫛(⫏≰2102002∖⫏≰2120001)⋓(⫏≰21021000⩁⩘⫏≰1121002⫚↹⊑(↪⫪⫘⫏≰2212022))⫚↹⊑((⫟⫏≰2221202)⊭↱(⫏≰1211201∲⫓⫏≰1122021))⨓((⫏≰1221201⨒⫏≰1222012)⨔≚≋(⫏≰11200112⪹))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37959,"operation_count":15,"complexity_ratio":2530.6,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5095,"base":3},"right_expr":{"type":"numeric_atoms","value":1694,"base":3}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1757,"base":3},"right_expr":{"type":"numeric_atoms","value":1864,"base":3}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5292,"base":3},"right_expr":{"type":"numeric_atoms","value":1163,"base":3}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2087,"base":3}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2153,"base":3}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1342,"base":3},"right_expr":{"type":"numeric_atoms","value":1195,"base":3}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1423,"base":3},"right_expr":{"type":"numeric_atoms","value":1436,"base":3}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3416,"base":3}}}}},"used_operators":["dfKe02y8D2","T2fj7uvVaJ","1aApVXNlOP","eewbuw0ToL","tXD093vOjl","gub5Cegaqo","9dWsAM3GFt","3ViojmjbAp","COABgblf1C","z4E1FaHLuy","i8ToyICDmI","Z57zeUYC9z","y75s1iXyHd","B3sABdIn96"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DpFCA1CohY","IWmyXbctLI","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"⫏≰-121120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5095","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=5095, right_input=1694, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3411","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1864, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3411, right_input=0, 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=-2938","layer":2},{"info":"number node, value=5292","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=5292, right_input=1163, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5600","layer":3},{"info":"number node, value=2087","layer":4},{"info":"compute unary expreesion, input=2087, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=5600, right_input=20, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-2938, right_input=-447, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=2153","layer":4},{"info":"compute unary expreesion, input=2153, 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=-5552","layer":3},{"info":"number node, value=1342","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1195, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5552, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11109","layer":2},{"info":"number node, value=1423","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=1436, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-8166","layer":3},{"info":"number node, value=3416","layer":4},{"info":"compute unary expreesion, input=3416, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=11324","layer":3},{"info":"compute binary expreesion, left_input=-8166, right_input=11324, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=37304","layer":2},{"info":"compute binary expreesion, left_input=11109, right_input=37304, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-37307","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-37307, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":3,"result_base":3,"text":"(⫏≰20222201⨰⫏≰2022202)⩇∃⫛(⫏≰2102002∖⫏≰2120001)⋓(⫏≰21021000⩁⩘⫏≰1121002⫚↹⊑(↪⫪⫘⫏≰2212022))⫚↹⊑((⫟⫏≰2221202)⊭↱(⫏≰1211201∲⫓⫏≰1122021))⨓((⫏≰1221201⨒⫏≰1222012)⨔≚≋(⫏≰11200112⪹))=⫏≰-121120","reverse_text":"⫏≰-121120=(⫏≰20222201⨰⫏≰2022202)⩇∃⫛(⫏≰2102002∖⫏≰2120001)⋓(⫏≰21021000⩁⩘⫏≰1121002⫚↹⊑(↪⫪⫘⫏≰2212022))⫚↹⊑((⫟⫏≰2221202)⊭↱(⫏≰1211201∲⫓⫏≰1122021))⨓((⫏≰1221201⨒⫏≰1222012)⨔≚≋(⫏≰11200112⪹))","cot":[{"info":"⫏≰20222201⨰⫏≰2022202=⫏≰11200100","layer":3},{"info":"⫏≰2102002∖⫏≰2120001=⫏≰0","layer":3},{"info":"⫏≰11200100⩇∃⫛⫏≰0=⫏≰-11000211","layer":2},{"info":"⫏≰21021000⩁⩘⫏≰1121002=⫏≰21200102","layer":3},{"info":"↪⫪⫘⫏≰2212022=⫏≰202","layer":3},{"info":"⫏≰21200102⫚↹⊑⫏≰202=⫏≰-121120","layer":2},{"info":"⫏≰-11000211⋓⫏≰-121120=⫏≰0","layer":1},{"info":"⫟⫏≰2221202=⫏≰-21121122","layer":3},{"info":"⫏≰1211201∲⫓⫏≰1122021=⫏≰0","layer":3},{"info":"⫏≰-21121122⊭↱⫏≰0=⫏≰120020110","layer":2},{"info":"⫏≰1221201⨒⫏≰1222012=⫏≰-102012110","layer":3},{"info":"⫏≰11200112⪹=⫏≰120112102","layer":3},{"info":"⫏≰-102012110⨔≚≋⫏≰120112102=⫏≰1220011122","layer":2},{"info":"⫏≰120020110⨓⫏≰1220011122=⫏≰-1220011202","layer":1},{"info":"⫏≰0⫚↹⊑⫏≰-1220011202=⫏≰-121120","layer":0}]}
{"id":851,"expression_no_base_symbol":"($1065$⪎↠$2707$⪒⊣⊆($2146$⩎⪣⊞)⊱⇼⊻(⋣$1056$⨸$4921$))⪚⩙≫","expression":"(⫏≰1110110⪎↠⫏≰10201021⪒⊣⊆(⫏≰2221111⩎⪣⊞)⊱⇼⊻(⋣⫏≰1110010⨸⫏≰20202021))⪚⩙≫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":31423,"operation_count":7,"complexity_ratio":4489.0,"tree":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1065,"base":3},"right_expr":{"type":"numeric_atoms","value":2707,"base":3}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":2146,"base":3}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1056,"base":3},"right_expr":{"type":"numeric_atoms","value":4921,"base":3}}}}},"used_operators":["4n53wtyJvv","FyVja0WsTP","eRqsBgTDFp","3tVxb0NHM4","waWucp1uQ4","zQWRhDnn8F","KmoU8R5UQR"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","sdazOOVcIp","W4YGzv6Whe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","mp7IySMOzn","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=2707, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=4292","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4292, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=320","layer":2},{"info":"number node, value=1056","layer":4},{"info":"number node, value=4921","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=4921, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2112","layer":3},{"info":"compute unary expreesion, input=2112, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-620833","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=-620833, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=4082","layer":1},{"info":"compute unary expreesion, input=4082, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1110110⪎↠⫏≰10201021⪒⊣⊆(⫏≰2221111⩎⪣⊞)⊱⇼⊻(⋣⫏≰1110010⨸⫏≰20202021))⪚⩙≫=NaN","reverse_text":"NaN=(⫏≰1110110⪎↠⫏≰10201021⪒⊣⊆(⫏≰2221111⩎⪣⊞)⊱⇼⊻(⋣⫏≰1110010⨸⫏≰20202021))⪚⩙≫","cot":[{"info":"⫏≰1110110⪎↠⫏≰10201021=⫏≰12221","layer":3},{"info":"⫏≰2221111⩎⪣⊞=⫏≰12212222","layer":3},{"info":"⫏≰12221⪒⊣⊆⫏≰12212222=⫏≰102212","layer":2},{"info":"⫏≰1110010⨸⫏≰20202021=⫏≰2220020","layer":3},{"info":"⋣⫏≰2220020=⫏≰-1011112121211","layer":2},{"info":"⫏≰102212⊱⇼⊻⫏≰-1011112121211=⫏≰12121012","layer":1},{"info":"⫏≰12121012⪚⩙≫=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"((⪓⩚$1549$⪮%⊝$4943$)∝($3498$↱$4016$⪎⩰))⪛⫼($1854$→⨶⪴$1139$⊨$4621$⪬$2125$)≹⇙⪍($2276$⪊≅)⪔⊥($1620$⫘$2298$)","expression":"((⪓⩚⫏≰2010101⪮%⊝⫏≰20210002)∝(⫏≰11210120↱⫏≰12111202⪎⩰))⪛⫼(⫏≰2112200→⨶⪴⫏≰1120012⊨⫏≰20100011⪬⫏≰2220201)≹⇙⪍(⫏≰10010022⪊≅)⪔⊥(⫏≰2020000⫘⫏≰10011010)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5979,"operation_count":13,"complexity_ratio":459.9230769230769,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1549,"base":3},"right_expr":{"type":"numeric_atoms","value":4943,"base":3}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3498,"base":3},"right_expr":{"type":"numeric_atoms","value":4016,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1854,"base":3},"right_expr":{"type":"numeric_atoms","value":1139,"base":3}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4621,"base":3},"right_expr":{"type":"numeric_atoms","value":2125,"base":3}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":2276,"base":3}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1620,"base":3},"right_expr":{"type":"numeric_atoms","value":2298,"base":3}}}}},"used_operators":["hyuBjUqXlG","cTDWOvIxvz","u0R0Locfp2","IWmyXbctLI","2ufhKmSs5H","SR5kFfdi6N","AHs5Up7iyr","vg4gO5BX6G","bF6eod5Gvf","Ez1Nq5fNfI","HJ9erzHUuu","bjFbhXSADs","48vC8HMD2b"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","dWAJyo7jo9","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","8w2t5hMYqp","9FxExcQeMw","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1549","layer":4},{"info":"number node, value=4943","layer":4},{"info":"compute binary expreesion, left_input=1549, right_input=4943, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3414","layer":3},{"info":"compute unary expreesion, input=3414, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=3498","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=3498, right_input=4016, 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=-11526","layer":3},{"info":"compute unary expreesion, input=-11526, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-243001","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=-243001, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=431","layer":1},{"info":"number node, value=1854","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=1139, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3417","layer":3},{"info":"number node, value=4621","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=4621, right_input=2125, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-3417, right_input=1234, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=2276","layer":4},{"info":"compute unary expreesion, input=2276, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=1620","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=2298, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1909525","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1909525, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3819249","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-3819249, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=431, 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":3,"result_base":3,"text":"((⪓⩚⫏≰2010101⪮%⊝⫏≰20210002)∝(⫏≰11210120↱⫏≰12111202⪎⩰))⪛⫼(⫏≰2112200→⨶⪴⫏≰1120012⊨⫏≰20100011⪬⫏≰2220201)≹⇙⪍(⫏≰10010022⪊≅)⪔⊥(⫏≰2020000⫘⫏≰10011010)=NaN","reverse_text":"NaN=((⪓⩚⫏≰2010101⪮%⊝⫏≰20210002)∝(⫏≰11210120↱⫏≰12111202⪎⩰))⪛⫼(⫏≰2112200→⨶⪴⫏≰1120012⊨⫏≰20100011⪬⫏≰2220201)≹⇙⪍(⫏≰10010022⪊≅)⪔⊥(⫏≰2020000⫘⫏≰10011010)","cot":[{"info":"⫏≰2010101⪮%⊝⫏≰20210002=⫏≰11200110","layer":3},{"info":"⪓⩚⫏≰11200110=⫏≰120210","layer":2},{"info":"⫏≰11210120↱⫏≰12111202=⫏≰-120210220","layer":3},{"info":"⫏≰-120210220⪎⩰=⫏≰-110100100001","layer":2},{"info":"⫏≰120210∝⫏≰-110100100001=⫏≰120222","layer":1},{"info":"⫏≰2112200→⨶⪴⫏≰1120012=⫏≰-11200120","layer":3},{"info":"⫏≰20100011⪬⫏≰2220201=⫏≰1200201","layer":3},{"info":"⫏≰-11200120⊨⫏≰1200201=⫏≰-20110","layer":2},{"info":"⫏≰10010022⪊≅=⫏≰0","layer":3},{"info":"⫏≰2020000⫘⫏≰10011010=⫏≰10121000101011","layer":3},{"info":"⫏≰0⪔⊥⫏≰10121000101011=⫏≰-21012001000200","layer":2},{"info":"⫏≰-20110≹⇙⪍⫏≰-21012001000200=NaN","layer":1},{"info":"⫏≰120222⪛⫼NaN=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"(⩒∊($1111$⫡⨏$2302$))≬⇓(($7945$⇍⊗$2522$)⫑%∭)↸(≋($2483$≚⊃≕$3275$))⫯⪬∳(⨝⨆$7415$∇⊂⋱$6998$)","expression":"(⩒∊(⫏≰1112011⫡⨏⫏≰10011021))≬⇓((⫏≰101220021⇍⊗⫏≰10110102)⫑%∭)↸(≋(⫏≰10101222≚⊃≕⫏≰11111022))⫯⪬∳(⨝⨆⫏≰101011122∇⊂⋱⫏≰100121012)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14507,"operation_count":11,"complexity_ratio":1318.8181818181818,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1111,"base":3},"right_expr":{"type":"numeric_atoms","value":2302,"base":3}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":7945,"base":3},"right_expr":{"type":"numeric_atoms","value":2522,"base":3}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2483,"base":3},"right_expr":{"type":"numeric_atoms","value":3275,"base":3}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7415,"base":3},"right_expr":{"type":"numeric_atoms","value":6998,"base":3}}}}},"used_operators":["1eCjFl0mb9","jWTQ2TZYIH","qazvmhNBbN","QMFrweE19q","xUx7qlDO4z","5uvYHDjeKN","d7ASUq0ydm","61wBmkZwlr","Bmrmz2XGnR","bQ67fsrMVf","nhYeJWJD5X"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","tifHPKVTfV","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⫏≰-1002202201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=2302, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10942","layer":3},{"info":"compute unary expreesion, input=10942, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=21127","layer":2},{"info":"number node, value=7945","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=7945, right_input=2522, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=21127, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-21700","layer":1},{"info":"number node, value=2483","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=3275, 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":3},{"info":"compute unary expreesion, input=67, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=67","layer":2},{"info":"number node, value=7415","layer":4},{"info":"number node, value=6998","layer":4},{"info":"compute binary expreesion, left_input=7415, right_input=6998, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=14284","layer":3},{"info":"compute unary expreesion, input=14284, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=14075","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=14075, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-13707","layer":1},{"info":"compute binary expreesion, left_input=-21700, right_input=-13707, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-21700","layer":0}],"base":3,"result_base":3,"text":"(⩒∊(⫏≰1112011⫡⨏⫏≰10011021))≬⇓((⫏≰101220021⇍⊗⫏≰10110102)⫑%∭)↸(≋(⫏≰10101222≚⊃≕⫏≰11111022))⫯⪬∳(⨝⨆⫏≰101011122∇⊂⋱⫏≰100121012)=⫏≰-1002202201","reverse_text":"⫏≰-1002202201=(⩒∊(⫏≰1112011⫡⨏⫏≰10011021))≬⇓((⫏≰101220021⇍⊗⫏≰10110102)⫑%∭)↸(≋(⫏≰10101222≚⊃≕⫏≰11111022))⫯⪬∳(⨝⨆⫏≰101011122∇⊂⋱⫏≰100121012)","cot":[{"info":"⫏≰1112011⫡⨏⫏≰10011021=⫏≰120000021","layer":3},{"info":"⩒∊⫏≰120000021=⫏≰1001222111","layer":2},{"info":"⫏≰101220021⇍⊗⫏≰10110102=⫏≰-100001","layer":3},{"info":"⫏≰-100001⫑%∭=NaN","layer":2},{"info":"⫏≰1001222111≬⇓NaN=⫏≰-1002202201","layer":1},{"info":"⫏≰10101222≚⊃≕⫏≰11111022=⫏≰2111","layer":3},{"info":"≋⫏≰2111=⫏≰2111","layer":2},{"info":"⫏≰101011122∇⊂⋱⫏≰100121012=⫏≰201121001","layer":3},{"info":"⨝⨆⫏≰201121001=⫏≰201022022","layer":2},{"info":"⫏≰2111⫯⪬∳⫏≰201022022=⫏≰-200210200","layer":1},{"info":"⫏≰-1002202201↸⫏≰-200210200=⫏≰-1002202201","layer":0}]}
{"id":854,"expression_no_base_symbol":"(⊢≑≆($4135$⩣⫁∢$1011$⪭($1979$∷$2534$)))⨻⩈⩔($1939$≁↽≥$2771$⨟⋌⩍($7495$↬$3449$)⪔($3166$⨚$3856$)↞⋁($1548$∀⇚≩$1539$))","expression":"(⊢≑≆(⫏≰12200011⩣⫁∢⫏≰1101110⪭(⫏≰2201022∷⫏≰10110212)))⨻⩈⩔(⫏≰2122211≁↽≥⫏≰10210122⨟⋌⩍(⫏≰101021121↬⫏≰11201202)⪔(⫏≰11100021⨚⫏≰12021211)↞⋁(⫏≰2010100∀⇚≩⫏≰2010000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11241,"operation_count":12,"complexity_ratio":936.75,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4135,"base":3},"right_expr":{"type":"numeric_atoms","value":1011,"base":3}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1979,"base":3},"right_expr":{"type":"numeric_atoms","value":2534,"base":3}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1939,"base":3},"right_expr":{"type":"numeric_atoms","value":2771,"base":3}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7495,"base":3},"right_expr":{"type":"numeric_atoms","value":3449,"base":3}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3166,"base":3},"right_expr":{"type":"numeric_atoms","value":3856,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1548,"base":3},"right_expr":{"type":"numeric_atoms","value":1539,"base":3}}}}},"used_operators":["nEsXyWgiOK","27wFxooxGf","j9kHMeSvPp","JDUIKTTSIa","D3AQDKkPcf","GjBEYRfMaF","rGHVDoGpnC","ncHt1X6cMc","B5M0gjZbta","RqrPlJkxDo","nREPSIbpBE","LRNGc0VcxI"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","COABgblf1C","xUOZtlo3hN","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","NTOWxs364D","7j4O788W3g","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Tcnh7f0tEr","oWn0xqSxBt","3Oe9XWJUTD","rGHVDoGpnC","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","BjRHVeLaeN","12rbrZMWeM","X99M06cbEe"],"result":"⫏≰110122202020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4135","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=1011, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8109","layer":3},{"info":"number node, value=1979","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=2534, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2534","layer":3},{"info":"compute binary expreesion, left_input=-8109, right_input=2534, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=7935","layer":2},{"info":"compute unary expreesion, input=7935, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=32192","layer":1},{"info":"number node, value=1939","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=2771, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=39017","layer":3},{"info":"number node, value=7495","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=7495, right_input=3449, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=39017, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3166","layer":4},{"info":"number node, value=3856","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=3856, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-8158","layer":3},{"info":"number node, value=1548","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=1539, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8158, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=32192, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=249135","layer":0}],"base":3,"result_base":3,"text":"(⊢≑≆(⫏≰12200011⩣⫁∢⫏≰1101110⪭(⫏≰2201022∷⫏≰10110212)))⨻⩈⩔(⫏≰2122211≁↽≥⫏≰10210122⨟⋌⩍(⫏≰101021121↬⫏≰11201202)⪔(⫏≰11100021⨚⫏≰12021211)↞⋁(⫏≰2010100∀⇚≩⫏≰2010000))=⫏≰110122202020","reverse_text":"⫏≰110122202020=(⊢≑≆(⫏≰12200011⩣⫁∢⫏≰1101110⪭(⫏≰2201022∷⫏≰10110212)))⨻⩈⩔(⫏≰2122211≁↽≥⫏≰10210122⨟⋌⩍(⫏≰101021121↬⫏≰11201202)⪔(⫏≰11100021⨚⫏≰12021211)↞⋁(⫏≰2010100∀⇚≩⫏≰2010000))","cot":[{"info":"⫏≰12200011⩣⫁∢⫏≰1101110=⫏≰-102010100","layer":3},{"info":"⫏≰2201022∷⫏≰10110212=⫏≰10110212","layer":3},{"info":"⫏≰-102010100⪭⫏≰10110212=⫏≰101212220","layer":2},{"info":"⊢≑≆⫏≰101212220=⫏≰1122011022","layer":1},{"info":"⫏≰2122211≁↽≥⫏≰10210122=⫏≰1222112002","layer":3},{"info":"⫏≰101021121↬⫏≰11201202=NaN","layer":3},{"info":"⫏≰1222112002⨟⋌⩍NaN=NaN","layer":2},{"info":"⫏≰11100021⨚⫏≰12021211=⫏≰-102012011","layer":3},{"info":"⫏≰2010100∀⇚≩⫏≰2010000=NaN","layer":3},{"info":"⫏≰-102012011↞⋁NaN=NaN","layer":2},{"info":"NaN⪔NaN=NaN","layer":1},{"info":"⫏≰1122011022⨻⩈⩔NaN=⫏≰110122202020","layer":0}]}
{"id":855,"expression_no_base_symbol":"⨰⫟⨤(((⇉-⫰$6169$)≀⩗∶$4626$↳≱$1074$)↙(⪭⩑⪱$6330$)≨($3681$∣$3308$))","expression":"⨰⫟⨤(((⇉-⫰⫏≰22110111)≀⩗∶⫏≰20100100↳≱⫏≰1110210)↙(⪭⩑⪱⫏≰22200110)≨(⫏≰12001100∣⫏≰11112112))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1135358,"operation_count":8,"complexity_ratio":141919.75,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":6169,"base":3}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4626,"base":3},"right_expr":{"type":"numeric_atoms","value":1074,"base":3}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":6330,"base":3}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3681,"base":3},"right_expr":{"type":"numeric_atoms","value":3308,"base":3}}}}},"used_operators":["Tw270M8GLb","yyfyN0ffXY","8INZBEW696","IGFM8TAlm9","JwTKLfZU96","0KMCeP1Jsh","SIgE0bArFf","PPChnnnBFF"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","DpFCA1CohY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eH2TOUuTDT","eewbuw0ToL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫏≰22110020202220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6169","layer":4},{"info":"compute unary expreesion, input=6169, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=4626","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=1074, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"number node, value=6330","layer":4},{"info":"compute unary expreesion, input=6330, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=3681","layer":4},{"info":"number node, value=3308","layer":4},{"info":"compute binary expreesion, left_input=3681, right_input=3308, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3681","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=3681, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-83205044","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-83205044, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤(((⇉-⫰⫏≰22110111)≀⩗∶⫏≰20100100↳≱⫏≰1110210)↙(⪭⩑⪱⫏≰22200110)≨(⫏≰12001100∣⫏≰11112112))=⫏≰22110020202220","reverse_text":"⫏≰22110020202220=⨰⫟⨤(((⇉-⫰⫏≰22110111)≀⩗∶⫏≰20100100↳≱⫏≰1110210)↙(⪭⩑⪱⫏≰22200110)≨(⫏≰12001100∣⫏≰11112112))","cot":[{"info":"⇉-⫰⫏≰22110111=⫏≰202","layer":3},{"info":"⫏≰20100100↳≱⫏≰1110210=⫏≰0","layer":3},{"info":"⫏≰202≀⩗∶⫏≰0=⫏≰0","layer":2},{"info":"⪭⩑⪱⫏≰22200110=⫏≰120122201221000","layer":3},{"info":"⫏≰12001100∣⫏≰11112112=⫏≰12001100","layer":3},{"info":"⫏≰120122201221000≨⫏≰12001100=⫏≰-12210120020212022","layer":2},{"info":"⫏≰0↙⫏≰-12210120020212022=⫏≰0","layer":1},{"info":"⨰⫟⨤⫏≰0=⫏≰22110020202220","layer":0}]}
{"id":856,"expression_no_base_symbol":"(↨⩢⫨((↯⪼$1774$)⊍⩺⋍$4642$→⨶⪴$4921$))⨳⩥⨓($1774$⋭≵$1110$⫔⩽⩺$3944$⪉⨛$8989$)+⪬∐(($4156$%$1798$)≫≃)","expression":"(↨⩢⫨((↯⪼⫏≰2102201)⊍⩺⋍⫏≰20100221→⨶⪴⫏≰20202021))⨳⩥⨓(⫏≰2102201⋭≵⫏≰1112010⫔⩽⩺⫏≰12102002⪉⨛⫏≰110022221)+⪬∐((⫏≰12200221%⫏≰2110121)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":440,"operation_count":11,"complexity_ratio":40.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1774,"base":3}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4642,"base":3},"right_expr":{"type":"numeric_atoms","value":4921,"base":3}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1774,"base":3},"right_expr":{"type":"numeric_atoms","value":1110,"base":3}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3944,"base":3},"right_expr":{"type":"numeric_atoms","value":8989,"base":3}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4156,"base":3},"right_expr":{"type":"numeric_atoms","value":1798,"base":3}}}}},"used_operators":["nCS4ZIUYfx","Z5CJsN7DuW","OXDGMFPWZM","8jW3W4yZS5","bF6eod5Gvf","2GS7woTJqF","i9eR4S00cU","jBncVCNhdl","EWw2JM7wp4","X99M06cbEe","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","9FxExcQeMw","g55IO6H4Gj","D4vGDi5EA2","Tw270M8GLb","fu6greOZ01","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1774","layer":4},{"info":"compute unary expreesion, input=1774, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=4642","layer":4},{"info":"number node, value=4921","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=4921, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-14763","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-14763, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1774","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=1110, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=3944","layer":4},{"info":"number node, value=8989","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=8989, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3058","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=3058, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=4156","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=1798, op_id = k8jYdgA6NY binary_op_definition= 'None', output=560","layer":3},{"info":"compute unary expreesion, input=560, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=2521","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2521, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(↨⩢⫨((↯⪼⫏≰2102201)⊍⩺⋍⫏≰20100221→⨶⪴⫏≰20202021))⨳⩥⨓(⫏≰2102201⋭≵⫏≰1112010⫔⩽⩺⫏≰12102002⪉⨛⫏≰110022221)+⪬∐((⫏≰12200221%⫏≰2110121)≫≃)=NaN","reverse_text":"NaN=(↨⩢⫨((↯⪼⫏≰2102201)⊍⩺⋍⫏≰20100221→⨶⪴⫏≰20202021))⨳⩥⨓(⫏≰2102201⋭≵⫏≰1112010⫔⩽⩺⫏≰12102002⪉⨛⫏≰110022221)+⪬∐((⫏≰12200221%⫏≰2110121)≫≃)","cot":[{"info":"↯⪼⫏≰2102201=⫏≰-210","layer":3},{"info":"⫏≰20100221→⨶⪴⫏≰20202021=⫏≰-202020210","layer":3},{"info":"⫏≰-210⊍⩺⋍⫏≰-202020210=NaN","layer":2},{"info":"↨⩢⫨NaN=⫏≰0","layer":1},{"info":"⫏≰2102201⋭≵⫏≰1112010=⫏≰2111","layer":3},{"info":"⫏≰12102002⪉⨛⫏≰110022221=⫏≰11012021","layer":3},{"info":"⫏≰2111⫔⩽⩺⫏≰11012021=NaN","layer":2},{"info":"⫏≰12200221%⫏≰2110121=⫏≰202202","layer":3},{"info":"⫏≰202202≫≃=⫏≰10110101","layer":2},{"info":"NaN+⪬∐⫏≰10110101=NaN","layer":1},{"info":"⫏≰0⨳⩥⨓NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"(⪁⇼($5372$⨪↰⇹$1391$)≎⪠($1338$⫒⫫$7427$))⨫⇇↔((($1167$↑)⪄$1904$⨓$1495$)⨳⩥⨓($2651$⫒⫫$4535$)⋛$9310$∺≝⩲$3662$)","expression":"(⪁⇼(⫏≰21100222⨪↰⇹⫏≰1220112)≎⪠(⫏≰1211120⫒⫫⫏≰101012002))⨫⇇↔(((⫏≰1121020↑)⪄⫏≰2121112⨓⫏≰2001101)⨳⩥⨓(⫏≰10122012⫒⫫⫏≰20012222)⋛⫏≰110202211∺≝⩲⫏≰12000122)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26385,"operation_count":12,"complexity_ratio":2198.75,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5372,"base":3},"right_expr":{"type":"numeric_atoms","value":1391,"base":3}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1338,"base":3},"right_expr":{"type":"numeric_atoms","value":7427,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1167,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1904,"base":3},"right_expr":{"type":"numeric_atoms","value":1495,"base":3}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2651,"base":3},"right_expr":{"type":"numeric_atoms","value":4535,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":9310,"base":3},"right_expr":{"type":"numeric_atoms","value":3662,"base":3}}}}},"used_operators":["LXhwmt4mBO","ZNVVrZ94lY","aNhz54LH3e","tmPS8pqC7x","6Ko8hGgeMq","nCS4ZIUYfx","SUmda5xLS4","BThhyOhh10","3ViojmjbAp","YbUVn0Rbpy","KPf6cnQVty"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rJVOvQCfKK","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫏≰-201112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5372","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=5372, right_input=1391, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5372","layer":3},{"info":"number node, value=1338","layer":4},{"info":"number node, value=7427","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=7427, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5372, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute unary expreesion, input=19558, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=1904","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=1495, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1498","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=-1498, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-22953","layer":2},{"info":"number node, value=2651","layer":4},{"info":"number node, value=4535","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=4535, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=9310","layer":4},{"info":"number node, value=3662","layer":4},{"info":"compute binary expreesion, left_input=9310, right_input=3662, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=-22953, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=422, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":3,"result_base":3,"text":"(⪁⇼(⫏≰21100222⨪↰⇹⫏≰1220112)≎⪠(⫏≰1211120⫒⫫⫏≰101012002))⨫⇇↔(((⫏≰1121020↑)⪄⫏≰2121112⨓⫏≰2001101)⨳⩥⨓(⫏≰10122012⫒⫫⫏≰20012222)⋛⫏≰110202211∺≝⩲⫏≰12000122)=⫏≰-201112","reverse_text":"⫏≰-201112=(⪁⇼(⫏≰21100222⨪↰⇹⫏≰1220112)≎⪠(⫏≰1211120⫒⫫⫏≰101012002))⨫⇇↔(((⫏≰1121020↑)⪄⫏≰2121112⨓⫏≰2001101)⨳⩥⨓(⫏≰10122012⫒⫫⫏≰20012222)⋛⫏≰110202211∺≝⩲⫏≰12000122)","cot":[{"info":"⫏≰21100222⨪↰⇹⫏≰1220112=⫏≰21100222","layer":3},{"info":"⫏≰1211120⫒⫫⫏≰101012002=NaN","layer":3},{"info":"⫏≰21100222≎⪠NaN=⫏≰222211101","layer":2},{"info":"⪁⇼⫏≰222211101=⫏≰120122","layer":1},{"info":"⫏≰1121020↑=⫏≰22020","layer":3},{"info":"⫏≰2121112⨓⫏≰2001101=⫏≰-2001111","layer":3},{"info":"⫏≰22020⪄⫏≰-2001111=⫏≰-1011111010","layer":2},{"info":"⫏≰10122012⫒⫫⫏≰20012222=NaN","layer":3},{"info":"⫏≰110202211∺≝⩲⫏≰12000122=⫏≰12221","layer":3},{"info":"NaN⋛⫏≰12221=NaN","layer":2},{"info":"⫏≰-1011111010⨳⩥⨓NaN=NaN","layer":1},{"info":"⫏≰120122⨫⇇↔NaN=⫏≰-201112","layer":0}]}
{"id":858,"expression_no_base_symbol":"($8262$⋛$1299$⨻⩈⩔($2050$∪⫐$2360$))⇡⇂(($1966$∙∹∝$1540$)⨥⫆($1113$⨭⪣$5104$))⊹≧⊝","expression":"(⫏≰102100000⋛⫏≰1210010⨻⩈⩔(⫏≰2210221∪⫐⫏≰10020102))⇡⇂((⫏≰2200211∙∹∝⫏≰2010001)⨥⫆(⫏≰1112020⨭⪣⫏≰21000001))⊹≧⊝","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33194,"operation_count":8,"complexity_ratio":4149.25,"tree":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":8262,"base":3},"right_expr":{"type":"numeric_atoms","value":1299,"base":3}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2050,"base":3},"right_expr":{"type":"numeric_atoms","value":2360,"base":3}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1966,"base":3},"right_expr":{"type":"numeric_atoms","value":1540,"base":3}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1113,"base":3},"right_expr":{"type":"numeric_atoms","value":5104,"base":3}}}}},"used_operators":["LxFB4K6j0n","UMwdvZNt44","nEsXyWgiOK","YbUVn0Rbpy","7YooWSwCyH","yXekIHxTD4","HmxsFra2vL","kn8WO9XteQ"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rJVOvQCfKK","2DDjHMKMc0","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⫏≰221100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8262","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=8262, right_input=1299, 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=-57834","layer":3},{"info":"number node, value=2050","layer":4},{"info":"number node, value=2360","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=2360, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2050","layer":3},{"info":"compute binary expreesion, left_input=-57834, right_input=2050, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=1966","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=1540, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=5104","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=5104, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-166","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-166, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-4","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-4, 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=-171","layer":1},{"info":"compute unary expreesion, input=-171, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=684","layer":0}],"base":3,"result_base":3,"text":"(⫏≰102100000⋛⫏≰1210010⨻⩈⩔(⫏≰2210221∪⫐⫏≰10020102))⇡⇂((⫏≰2200211∙∹∝⫏≰2010001)⨥⫆(⫏≰1112020⨭⪣⫏≰21000001))⊹≧⊝=⫏≰221100","reverse_text":"⫏≰221100=(⫏≰102100000⋛⫏≰1210010⨻⩈⩔(⫏≰2210221∪⫐⫏≰10020102))⇡⇂((⫏≰2200211∙∹∝⫏≰2010001)⨥⫆(⫏≰1112020⨭⪣⫏≰21000001))⊹≧⊝","cot":[{"info":"⫏≰102100000⋛⫏≰1210010=⫏≰-2221100000","layer":3},{"info":"⫏≰2210221∪⫐⫏≰10020102=⫏≰2210221","layer":3},{"info":"⫏≰-2221100000⨻⩈⩔⫏≰2210221=⫏≰-20110","layer":2},{"info":"⫏≰2200211∙∹∝⫏≰2010001=⫏≰0","layer":3},{"info":"⫏≰1112020⨭⪣⫏≰21000001=⫏≰-20011","layer":3},{"info":"⫏≰0⨥⫆⫏≰-20011=⫏≰-11","layer":2},{"info":"⫏≰-20110⇡⇂⫏≰-11=⫏≰-20100","layer":1},{"info":"⫏≰-20100⊹≧⊝=⫏≰221100","layer":0}]}
{"id":859,"expression_no_base_symbol":"(≛$5430$∳⫺$1305$⋳⪒$1008$⊱⇼⊻$2678$)⋾⨃∁(($4424$⩘$3559$)↓($1005$⨝⩣∺)⨵⪆(≦∁$2757$)⇴$5756$≁↽≥$2662$)","expression":"(≛⫏≰21110010∳⫺⫏≰1210100⋳⪒⫏≰1101100⊱⇼⊻⫏≰10200012)⋾⨃∁((⫏≰20001212⩘⫏≰11212211)↓(⫏≰1101020⨝⩣∺)⨵⪆(≦∁⫏≰10210010)⇴⫏≰21220012≁↽≥⫏≰10122121)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":28691,"operation_count":12,"complexity_ratio":2390.9166666666665,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5430,"base":3},"right_expr":{"type":"numeric_atoms","value":1305,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1008,"base":3},"right_expr":{"type":"numeric_atoms","value":2678,"base":3}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4424,"base":3},"right_expr":{"type":"numeric_atoms","value":3559,"base":3}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1005,"base":3}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2757,"base":3}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5756,"base":3},"right_expr":{"type":"numeric_atoms","value":2662,"base":3}}}}},"used_operators":["212REbPD9h","W7eaUhjymW","12rbrZMWeM","AzXXKTstlj","FyVja0WsTP","2DQ55sFlQl","Af076pWI7l","cHh1gJQ2o6","ancx8kZcWl","4JB6nKBMSY","9ICcGScMcE","ncHt1X6cMc"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DZ8iAZOCBD","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5430","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=5430, right_input=1305, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2678, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=434, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1241","layer":2},{"info":"compute unary expreesion, input=-1241, 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=-2719","layer":1},{"info":"number node, value=4424","layer":4},{"info":"number node, value=3559","layer":4},{"info":"compute binary expreesion, left_input=4424, right_input=3559, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2010","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2010, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=2757","layer":4},{"info":"compute unary expreesion, input=2757, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2757","layer":3},{"info":"number node, value=5756","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=5756, right_input=2662, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=79348","layer":3},{"info":"compute binary expreesion, left_input=2757, right_input=79348, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=174852","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=174852, 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=-2719, right_input=160, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":3,"result_base":3,"text":"(≛⫏≰21110010∳⫺⫏≰1210100⋳⪒⫏≰1101100⊱⇼⊻⫏≰10200012)⋾⨃∁((⫏≰20001212⩘⫏≰11212211)↓(⫏≰1101020⨝⩣∺)⨵⪆(≦∁⫏≰10210010)⇴⫏≰21220012≁↽≥⫏≰10122121)=⫏≰12221","reverse_text":"⫏≰12221=(≛⫏≰21110010∳⫺⫏≰1210100⋳⪒⫏≰1101100⊱⇼⊻⫏≰10200012)⋾⨃∁((⫏≰20001212⩘⫏≰11212211)↓(⫏≰1101020⨝⩣∺)⨵⪆(≦∁⫏≰10210010)⇴⫏≰21220012≁↽≥⫏≰10122121)","cot":[{"info":"⫏≰21110010∳⫺⫏≰1210100=⫏≰-100122","layer":3},{"info":"⫏≰1101100⊱⇼⊻⫏≰10200012=⫏≰121002","layer":3},{"info":"⫏≰-100122⋳⪒⫏≰121002=⫏≰-1200222","layer":2},{"info":"≛⫏≰-1200222=⫏≰-10201201","layer":1},{"info":"⫏≰20001212⩘⫏≰11212211=⫏≰12221","layer":3},{"info":"⫏≰1101020⨝⩣∺=⫏≰-2202110","layer":3},{"info":"⫏≰12221↓⫏≰-2202110=⫏≰-11222","layer":2},{"info":"≦∁⫏≰10210010=⫏≰10210010","layer":3},{"info":"⫏≰21220012≁↽≥⫏≰10122121=⫏≰11000211211","layer":3},{"info":"⫏≰10210010⇴⫏≰11000211211=⫏≰22212212000","layer":2},{"info":"⫏≰-11222⨵⪆⫏≰22212212000=⫏≰12221","layer":1},{"info":"⫏≰-10201201⋾⨃∁⫏≰12221=⫏≰12221","layer":0}]}
{"id":860,"expression_no_base_symbol":"($5460$∙⊟$3814$⫌⩉⩟$6580$∝$1829$)⩍⋽⫝̸(∟⋨($1150$+⇶⊼$2616$))-(⨞⊢(⋗⩴⪓$1252$)∌(≉$2428$))","expression":"(⫏≰21111020∙⊟⫏≰12020021⫌⩉⩟⫏≰100000201∝⫏≰2111202)⩍⋽⫝̸(∟⋨(⫏≰1120121+⇶⊼⫏≰10120220))-(⨞⊢(⋗⩴⪓⫏≰1201101)∌(≉⫏≰10022221))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":43034,"operation_count":11,"complexity_ratio":3912.181818181818,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5460,"base":3},"right_expr":{"type":"numeric_atoms","value":3814,"base":3}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":6580,"base":3},"right_expr":{"type":"numeric_atoms","value":1829,"base":3}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1150,"base":3},"right_expr":{"type":"numeric_atoms","value":2616,"base":3}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1252,"base":3}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2428,"base":3}}}}},"used_operators":["rysDP5nf3Z","BiWNJpBvwn","XIIwhv8d0m","SxTAKzQCrw","cTDWOvIxvz","ctOc4cKSDt","TpPTUOHfaN","xUOZtlo3hN","8cLx32lpNA","nOKPl9n5zu","e1ybzncUwg"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLAdDNolq6","tmPS8pqC7x","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5460","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=5460, right_input=3814, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=80826","layer":3},{"info":"number node, value=6580","layer":4},{"info":"number node, value=1829","layer":4},{"info":"compute binary expreesion, left_input=6580, right_input=1829, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6585","layer":3},{"info":"compute binary expreesion, left_input=80826, right_input=6585, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1150","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=2616, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"number node, value=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-339","layer":3},{"info":"number node, value=2428","layer":4},{"info":"compute unary expreesion, input=2428, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2959","layer":3},{"info":"compute binary expreesion, left_input=-339, right_input=2959, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-339","layer":2},{"info":"compute unary expreesion, input=-339, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=165","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=165, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21111020∙⊟⫏≰12020021⫌⩉⩟⫏≰100000201∝⫏≰2111202)⩍⋽⫝̸(∟⋨(⫏≰1120121+⇶⊼⫏≰10120220))-(⨞⊢(⋗⩴⪓⫏≰1201101)∌(≉⫏≰10022221))=NaN","reverse_text":"NaN=(⫏≰21111020∙⊟⫏≰12020021⫌⩉⩟⫏≰100000201∝⫏≰2111202)⩍⋽⫝̸(∟⋨(⫏≰1120121+⇶⊼⫏≰10120220))-(⨞⊢(⋗⩴⪓⫏≰1201101)∌(≉⫏≰10022221))","cot":[{"info":"⫏≰21111020∙⊟⫏≰12020021=⫏≰11002212120","layer":3},{"info":"⫏≰100000201∝⫏≰2111202=⫏≰100000220","layer":3},{"info":"⫏≰11002212120⫌⩉⩟⫏≰100000220=⫏≰-1212","layer":2},{"info":"⫏≰1120121+⇶⊼⫏≰10120220=NaN","layer":3},{"info":"∟⋨NaN=NaN","layer":2},{"info":"⫏≰-1212⩍⋽⫝̸NaN=NaN","layer":1},{"info":"⋗⩴⪓⫏≰1201101=⫏≰-110120","layer":3},{"info":"≉⫏≰10022221=⫏≰11001121","layer":3},{"info":"⫏≰-110120∌⫏≰11001121=⫏≰-110120","layer":2},{"info":"⨞⊢⫏≰-110120=⫏≰20010","layer":1},{"info":"NaN-⫏≰20010=NaN","layer":0}]}
{"id":861,"expression_no_base_symbol":"($5496$⫦⪉$4156$≬⋮$1931$⪡$1255$)∠↢(($4707$⋻⩜⩜$3646$)⫭)⩹($2824$+⇶⊼$3029$)⫞⩸⩒($2488$⊉≛↸$2059$)⨑⩅≇((⨩∲⋌$2045$)∠⫱$1854$⪃⊛⇣$6010$)","expression":"(⫏≰21112120⫦⪉⫏≰12200221≬⋮⫏≰2122112⪡⫏≰1201111)∠↢((⫏≰20110100⋻⩜⩜⫏≰12000001)⫭)⩹(⫏≰10212121+⇶⊼⫏≰11011012)⫞⩸⩒(⫏≰10102011⊉≛↸⫏≰2211021)⨑⩅≇((⨩∲⋌⫏≰2210202)∠⫱⫏≰2112200⪃⊛⇣⫏≰22020121)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":51828,"operation_count":14,"complexity_ratio":3702.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5496,"base":3},"right_expr":{"type":"numeric_atoms","value":4156,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1931,"base":3},"right_expr":{"type":"numeric_atoms","value":1255,"base":3}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4707,"base":3},"right_expr":{"type":"numeric_atoms","value":3646,"base":3}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2824,"base":3},"right_expr":{"type":"numeric_atoms","value":3029,"base":3}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2488,"base":3},"right_expr":{"type":"numeric_atoms","value":2059,"base":3}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2045,"base":3}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1854,"base":3},"right_expr":{"type":"numeric_atoms","value":6010,"base":3}}}}},"used_operators":["2Wsdkap16l","KbjG8mgYpV","kbkesczE7y","wscyQdcy20","oraRL2iQuh","t4WUHVGj7f","oDCm7WA9JY","h92wMvzauj","XGcMNugi78","TpPTUOHfaN","DZ8iAZOCBD","QvoQhV0rrE","aSik1wnThz","rrgAzCduG9"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⫏≰1021120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5496","layer":4},{"info":"number node, value=4156","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=4156, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6092","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=1255, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-6092, right_input=107, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=4707","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=4707, right_input=3646, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9414","layer":3},{"info":"compute unary expreesion, input=9414, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=28483","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=28483, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-401152","layer":1},{"info":"number node, value=2824","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=3029, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2488","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=2059, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4976","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4976, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":2},{"info":"number node, value=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2568","layer":3},{"info":"number node, value=1854","layer":4},{"info":"number node, value=6010","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=6010, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-2568, right_input=1234, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, 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":1},{"info":"compute binary expreesion, left_input=-401152, right_input=935, 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=933","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21112120⫦⪉⫏≰12200221≬⋮⫏≰2122112⪡⫏≰1201111)∠↢((⫏≰20110100⋻⩜⩜⫏≰12000001)⫭)⩹(⫏≰10212121+⇶⊼⫏≰11011012)⫞⩸⩒(⫏≰10102011⊉≛↸⫏≰2211021)⨑⩅≇((⨩∲⋌⫏≰2210202)∠⫱⫏≰2112200⪃⊛⇣⫏≰22020121)=⫏≰1021120","reverse_text":"⫏≰1021120=(⫏≰21112120⫦⪉⫏≰12200221≬⋮⫏≰2122112⪡⫏≰1201111)∠↢((⫏≰20110100⋻⩜⩜⫏≰12000001)⫭)⩹(⫏≰10212121+⇶⊼⫏≰11011012)⫞⩸⩒(⫏≰10102011⊉≛↸⫏≰2211021)⨑⩅≇((⨩∲⋌⫏≰2210202)∠⫱⫏≰2112200⪃⊛⇣⫏≰22020121)","cot":[{"info":"⫏≰21112120⫦⪉⫏≰12200221=⫏≰-22100122","layer":3},{"info":"⫏≰2122112⪡⫏≰1201111=⫏≰10222","layer":3},{"info":"⫏≰-22100122≬⋮⫏≰10222=⫏≰1012011","layer":2},{"info":"⫏≰20110100⋻⩜⩜⫏≰12000001=⫏≰110220200","layer":3},{"info":"⫏≰110220200⫭=⫏≰1110001221","layer":2},{"info":"⫏≰1012011∠↢⫏≰1110001221=⫏≰-202101021111","layer":1},{"info":"⫏≰10212121+⇶⊼⫏≰11011012=NaN","layer":3},{"info":"⫏≰10102011⊉≛↸⫏≰2211021=⫏≰20211022","layer":3},{"info":"NaN⫞⩸⩒⫏≰20211022=NaN","layer":2},{"info":"⨩∲⋌⫏≰2210202=⫏≰-10112010","layer":3},{"info":"⫏≰2112200⪃⊛⇣⫏≰22020121=⫏≰1200201","layer":3},{"info":"⫏≰-10112010∠⫱⫏≰1200201=⫏≰1200201","layer":2},{"info":"NaN⨑⩅≇⫏≰1200201=⫏≰1021122","layer":1},{"info":"⫏≰-202101021111⩹⫏≰1021122=⫏≰1021120","layer":0}]}
{"id":862,"expression_no_base_symbol":"(($7698$↬⩅∪)⨸(⊖∈$4378$)⇴∐($1241$⪛⫼$3658$)⋾⨃∁($2346$↡⊰⫅$6848$))⨼⩣(($1503$⩵∡$8767$)∝$3512$⩧⪆$5968$)⇤(($2679$⨓$1970$)∀⇚≩(⨡↴$1006$))","expression":"((⫏≰101120010↬⩅∪)⨸(⊖∈⫏≰20000011)⇴∐(⫏≰1200222⪛⫼⫏≰12000111)⋾⨃∁(⫏≰10012220↡⊰⫅⫏≰100101122))⨼⩣((⫏≰2001200⩵∡⫏≰110000201)∝⫏≰11211002⩧⪆⫏≰22012001)⇤((⫏≰10200020⨓⫏≰2200222)∀⇚≩(⨡↴⫏≰1101021))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":149181,"operation_count":15,"complexity_ratio":9945.4,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":7698,"base":3}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":4378,"base":3}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1241,"base":3},"right_expr":{"type":"numeric_atoms","value":3658,"base":3}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2346,"base":3},"right_expr":{"type":"numeric_atoms","value":6848,"base":3}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1503,"base":3},"right_expr":{"type":"numeric_atoms","value":8767,"base":3}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3512,"base":3},"right_expr":{"type":"numeric_atoms","value":5968,"base":3}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2679,"base":3},"right_expr":{"type":"numeric_atoms","value":1970,"base":3}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1006,"base":3}}}}},"used_operators":["JxwMv5le6e","HnzytWxmAO","KmoU8R5UQR","VJ330n2nnx","YFxL8Sc2Zy","212REbPD9h","hyuBjUqXlG","VCtxkLNOzz","YSKBFp38Pu","cTDWOvIxvz","Y7wcNGrDQJ","Ikt5ks8PT7","LRNGc0VcxI","3ViojmjbAp","liw5iZPkLH"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eewbuw0ToL","t8gj7n24qd","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7698","layer":4},{"info":"compute unary expreesion, input=7698, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-23094","layer":3},{"info":"number node, value=4378","layer":4},{"info":"compute unary expreesion, input=4378, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=81966","layer":3},{"info":"compute binary expreesion, left_input=-23094, right_input=81966, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9118162","layer":2},{"info":"number node, value=1241","layer":4},{"info":"number node, value=3658","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=3658, 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":3},{"info":"number node, value=2346","layer":4},{"info":"number node, value=6848","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=6848, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=13696","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=13696, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=1875639714","layer":2},{"info":"compute binary expreesion, left_input=9118162, right_input=1875639714, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=1503","layer":4},{"info":"number node, value=8767","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=8767, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=5640","layer":3},{"info":"number node, value=3512","layer":4},{"info":"number node, value=5968","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=5968, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5968","layer":3},{"info":"compute binary expreesion, left_input=5640, right_input=-5968, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5645","layer":2},{"info":"number node, value=2679","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=1970, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1973","layer":3},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2055","layer":3},{"info":"compute binary expreesion, left_input=-1973, right_input=2055, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5645, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰101120010↬⩅∪)⨸(⊖∈⫏≰20000011)⇴∐(⫏≰1200222⪛⫼⫏≰12000111)⋾⨃∁(⫏≰10012220↡⊰⫅⫏≰100101122))⨼⩣((⫏≰2001200⩵∡⫏≰110000201)∝⫏≰11211002⩧⪆⫏≰22012001)⇤((⫏≰10200020⨓⫏≰2200222)∀⇚≩(⨡↴⫏≰1101021))=NaN","reverse_text":"NaN=((⫏≰101120010↬⩅∪)⨸(⊖∈⫏≰20000011)⇴∐(⫏≰1200222⪛⫼⫏≰12000111)⋾⨃∁(⫏≰10012220↡⊰⫅⫏≰100101122))⨼⩣((⫏≰2001200⩵∡⫏≰110000201)∝⫏≰11211002⩧⪆⫏≰22012001)⇤((⫏≰10200020⨓⫏≰2200222)∀⇚≩(⨡↴⫏≰1101021))","cot":[{"info":"⫏≰101120010↬⩅∪=⫏≰-1011200100","layer":3},{"info":"⊖∈⫏≰20000011=⫏≰11011102210","layer":3},{"info":"⫏≰-1011200100⨸⫏≰11011102210=⫏≰122011020202201","layer":2},{"info":"⫏≰1200222⪛⫼⫏≰12000111=⫏≰1022212","layer":3},{"info":"⫏≰10012220↡⊰⫅⫏≰100101122=⫏≰200210021","layer":3},{"info":"⫏≰1022212⋾⨃∁⫏≰200210021=⫏≰11211201100100222120","layer":2},{"info":"⫏≰122011020202201⇴∐⫏≰11211201100100222120=NaN","layer":1},{"info":"⫏≰2001200⩵∡⫏≰110000201=⫏≰21201220","layer":3},{"info":"⫏≰11211002⩧⪆⫏≰22012001=⫏≰-22012001","layer":3},{"info":"⫏≰21201220∝⫏≰-22012001=⫏≰21202002","layer":2},{"info":"⫏≰10200020⨓⫏≰2200222=⫏≰-2201002","layer":3},{"info":"⨡↴⫏≰1101021=⫏≰2211010","layer":3},{"info":"⫏≰-2201002∀⇚≩⫏≰2211010=NaN","layer":2},{"info":"⫏≰21202002⇤NaN=NaN","layer":1},{"info":"NaN⨼⩣NaN=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"(($2492$⫡⨏$2789$)⨪↰⇹$8282$∊∟⩊$7460$)⇍⊗($3222$⇤$4561$⊲⩕⊾($3360$⪛$3266$))↸(⩒∊$1148$⋛$7428$)⨰($8690$⪛$5451$)⪢($2554$⫢⨠$1996$)","expression":"((⫏≰10102022⫡⨏⫏≰10211022)⨪↰⇹⫏≰102100202∊∟⩊⫏≰101020022)⇍⊗(⫏≰11102100⇤⫏≰20020221⊲⩕⊾(⫏≰11121110⪛⫏≰11110222))↸(⩒∊⫏≰1120112⋛⫏≰101012010)⨰(⫏≰102220212⪛⫏≰21110220)⪢(⫏≰10111121⫢⨠⫏≰2201221)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24806,"operation_count":14,"complexity_ratio":1771.857142857143,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2492,"base":3},"right_expr":{"type":"numeric_atoms","value":2789,"base":3}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":8282,"base":3},"right_expr":{"type":"numeric_atoms","value":7460,"base":3}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3222,"base":3},"right_expr":{"type":"numeric_atoms","value":4561,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3360,"base":3},"right_expr":{"type":"numeric_atoms","value":3266,"base":3}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1148,"base":3},"right_expr":{"type":"numeric_atoms","value":7428,"base":3}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8690,"base":3},"right_expr":{"type":"numeric_atoms","value":5451,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2554,"base":3},"right_expr":{"type":"numeric_atoms","value":1996,"base":3}}}}},"used_operators":["1eCjFl0mb9","5uvYHDjeKN","tmPS8pqC7x","QMFrweE19q","ddLRYrp01A","DmTXOeWf9t","YSKBFp38Pu","uFcxV4UQCh","eewbuw0ToL","qazvmhNBbN","YbUVn0Rbpy","dWAJyo7jo9","xlXykHWxX1"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","k8jYdgA6NY","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⫏≰-100001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2492","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=2789, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18821","layer":3},{"info":"number node, value=8282","layer":4},{"info":"number node, value=7460","layer":4},{"info":"compute binary expreesion, left_input=8282, right_input=7460, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=7460","layer":3},{"info":"compute binary expreesion, left_input=18821, right_input=7460, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=18821","layer":2},{"info":"number node, value=3222","layer":4},{"info":"number node, value=4561","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=4561, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-36067","layer":3},{"info":"number node, value=3360","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=3266, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=94","layer":3},{"info":"compute binary expreesion, left_input=-36067, right_input=94, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-69056","layer":2},{"info":"compute binary expreesion, left_input=18821, right_input=-69056, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=1148","layer":4},{"info":"number node, value=7428","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=7428, 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=-121860","layer":3},{"info":"compute unary expreesion, input=-121860, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-366853","layer":2},{"info":"number node, value=8690","layer":4},{"info":"number node, value=5451","layer":4},{"info":"compute binary expreesion, left_input=8690, right_input=5451, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3239","layer":3},{"info":"number node, value=2554","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=1996, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=3239, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-366853, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-244","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10102022⫡⨏⫏≰10211022)⨪↰⇹⫏≰102100202∊∟⩊⫏≰101020022)⇍⊗(⫏≰11102100⇤⫏≰20020221⊲⩕⊾(⫏≰11121110⪛⫏≰11110222))↸(⩒∊⫏≰1120112⋛⫏≰101012010)⨰(⫏≰102220212⪛⫏≰21110220)⪢(⫏≰10111121⫢⨠⫏≰2201221)=⫏≰-100001","reverse_text":"⫏≰-100001=((⫏≰10102022⫡⨏⫏≰10211022)⨪↰⇹⫏≰102100202∊∟⩊⫏≰101020022)⇍⊗(⫏≰11102100⇤⫏≰20020221⊲⩕⊾(⫏≰11121110⪛⫏≰11110222))↸(⩒∊⫏≰1120112⋛⫏≰101012010)⨰(⫏≰102220212⪛⫏≰21110220)⪢(⫏≰10111121⫢⨠⫏≰2201221)","cot":[{"info":"⫏≰10102022⫡⨏⫏≰10211022=⫏≰221211002","layer":3},{"info":"⫏≰102100202∊∟⩊⫏≰101020022=⫏≰101020022","layer":3},{"info":"⫏≰221211002⨪↰⇹⫏≰101020022=⫏≰221211002","layer":2},{"info":"⫏≰11102100⇤⫏≰20020221=⫏≰-1211110211","layer":3},{"info":"⫏≰11121110⪛⫏≰11110222=⫏≰10111","layer":3},{"info":"⫏≰-1211110211⊲⩕⊾⫏≰10111=⫏≰-10111201122","layer":2},{"info":"⫏≰221211002⇍⊗⫏≰-10111201122=⫏≰-100001","layer":1},{"info":"⫏≰1120112⋛⫏≰101012010=⫏≰-20012011100","layer":3},{"info":"⩒∊⫏≰-20012011100=⫏≰-200122020011","layer":2},{"info":"⫏≰102220212⪛⫏≰21110220=⫏≰11102222","layer":3},{"info":"⫏≰10111121⫢⨠⫏≰2201221=⫏≰12221","layer":3},{"info":"⫏≰11102222⪢⫏≰12221=NaN","layer":2},{"info":"⫏≰-200122020011⨰NaN=NaN","layer":1},{"info":"⫏≰-100001↸NaN=⫏≰-100001","layer":0}]}
{"id":864,"expression_no_base_symbol":"(∂⩏⊆$1809$)⩣⫁∢($3191$⋾⨃∁$5275$)⫘($3150$⨸⪁$2221$)⪟⇏($1564$⪄$1116$)⪉⨛(∓⪦($3392$⪍↜⋙$6243$))⊕∕($6088$⇷$1526$%(↥$7400$))","expression":"(∂⩏⊆⫏≰2111000)⩣⫁∢(⫏≰11101012⋾⨃∁⫏≰21020101)⫘(⫏≰11022200⨸⪁⫏≰10001021)⪟⇏(⫏≰2010221⪄⫏≰1112100)⪉⨛(∓⪦(⫏≰11122122⪍↜⋙⫏≰22120020))⊕∕(⫏≰22100111⇷⫏≰2002112%(↥⫏≰101011002))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":114327,"operation_count":14,"complexity_ratio":8166.214285714285,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1809,"base":3}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3191,"base":3},"right_expr":{"type":"numeric_atoms","value":5275,"base":3}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3150,"base":3},"right_expr":{"type":"numeric_atoms","value":2221,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1564,"base":3},"right_expr":{"type":"numeric_atoms","value":1116,"base":3}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3392,"base":3},"right_expr":{"type":"numeric_atoms","value":6243,"base":3}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6088,"base":3},"right_expr":{"type":"numeric_atoms","value":1526,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7400,"base":3}}}}},"used_operators":["EWw2JM7wp4","48vC8HMD2b","JDUIKTTSIa","8WDwsbhb0R","212REbPD9h","GODebY97qR","g55IO6H4Gj","SUmda5xLS4","9cloC0Ngie","D309nIvmXG","L05ObWFQCd","k8jYdgA6NY","mp7IySMOzn","A8NUZmVepG"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","14qkJME0vr","eLAdDNolq6","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY"],"result":"⫏≰12120002201012220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1809","layer":4},{"info":"compute unary expreesion, input=1809, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-5506","layer":3},{"info":"number node, value=3191","layer":4},{"info":"number node, value=5275","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=5275, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=278192856","layer":3},{"info":"compute binary expreesion, left_input=-5506, right_input=278192856, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=22589","layer":2},{"info":"number node, value=3150","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=3150, right_input=2221, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10742","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=1116, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-232025","layer":3},{"info":"compute binary expreesion, left_input=10742, right_input=-232025, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=22589, right_input=-1, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=26569069","layer":1},{"info":"number node, value=3392","layer":4},{"info":"number node, value=6243","layer":4},{"info":"compute binary expreesion, left_input=3392, right_input=6243, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-30229","layer":3},{"info":"compute unary expreesion, input=-30229, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-62104","layer":2},{"info":"number node, value=6088","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=6088, right_input=1526, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3052","layer":3},{"info":"number node, value=7400","layer":4},{"info":"compute unary expreesion, input=7400, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"compute binary expreesion, left_input=3052, right_input=5, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2","layer":2},{"info":"compute binary expreesion, left_input=-62104, right_input=2, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-62104","layer":1},{"info":"compute binary expreesion, left_input=26569069, right_input=-62104, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=79769526","layer":0}],"base":3,"result_base":3,"text":"(∂⩏⊆⫏≰2111000)⩣⫁∢(⫏≰11101012⋾⨃∁⫏≰21020101)⫘(⫏≰11022200⨸⪁⫏≰10001021)⪟⇏(⫏≰2010221⪄⫏≰1112100)⪉⨛(∓⪦(⫏≰11122122⪍↜⋙⫏≰22120020))⊕∕(⫏≰22100111⇷⫏≰2002112%(↥⫏≰101011002))=⫏≰12120002201012220","reverse_text":"⫏≰12120002201012220=(∂⩏⊆⫏≰2111000)⩣⫁∢(⫏≰11101012⋾⨃∁⫏≰21020101)⫘(⫏≰11022200⨸⪁⫏≰10001021)⪟⇏(⫏≰2010221⪄⫏≰1112100)⪉⨛(∓⪦(⫏≰11122122⪍↜⋙⫏≰22120020))⊕∕(⫏≰22100111⇷⫏≰2002112%(↥⫏≰101011002))","cot":[{"info":"∂⩏⊆⫏≰2111000=⫏≰-21112221","layer":3},{"info":"⫏≰11101012⋾⨃∁⫏≰21020101=⫏≰201101110122212010","layer":3},{"info":"⫏≰-21112221⩣⫁∢⫏≰201101110122212010=⫏≰1010222122","layer":2},{"info":"⫏≰11022200⨸⪁⫏≰10001021=⫏≰112201212","layer":3},{"info":"⫏≰2010221⪄⫏≰1112100=⫏≰-102210021112","layer":3},{"info":"⫏≰112201212⪟⇏⫏≰-102210021112=⫏≰-1","layer":2},{"info":"⫏≰1010222122⫘⫏≰-1=⫏≰1211222211220121","layer":1},{"info":"⫏≰11122122⪍↜⋙⫏≰22120020=⫏≰-1112110121","layer":3},{"info":"∓⪦⫏≰-1112110121=⫏≰-10011012011","layer":2},{"info":"⫏≰22100111⇷⫏≰2002112=⫏≰11012001","layer":3},{"info":"↥⫏≰101011002=⫏≰12","layer":3},{"info":"⫏≰11012001%⫏≰12=⫏≰2","layer":2},{"info":"⫏≰-10011012011⊕∕⫏≰2=⫏≰-10011012011","layer":1},{"info":"⫏≰1211222211220121⪉⨛⫏≰-10011012011=⫏≰12120002201012220","layer":0}]}
{"id":865,"expression_no_base_symbol":"⊽(($2005$⨌↪)⫁$1595$⋹⋡⊁$1465$⪁(≤/$4852$⪮%⊝$1907$))","expression":"⊽((⫏≰2202021⨌↪)⫁⫏≰2012002⋹⋡⊁⫏≰2000021⪁(≤/⫏≰20122201⪮%⊝⫏≰2121122))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":72393,"operation_count":7,"complexity_ratio":10341.857142857143,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":2005,"base":3}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1595,"base":3},"right_expr":{"type":"numeric_atoms","value":1465,"base":3}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4852,"base":3},"right_expr":{"type":"numeric_atoms","value":1907,"base":3}}}}},"used_operators":["QxG7OkqoLX","I7sXao9hZE","0ajvFaJAv0","cWQsF5MvuD","As8RqfVLgs","eLAdDNolq6","IWmyXbctLI"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","cHh1gJQ2o6","AHs5Up7iyr","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2005","layer":4},{"info":"compute unary expreesion, input=2005, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=1595","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=1465, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2215","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=2215, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=4852","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=4852, right_input=1907, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10020","layer":3},{"info":"compute unary expreesion, input=10020, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-9536","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-9536, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢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":3,"result_base":3,"text":"⊽((⫏≰2202021⨌↪)⫁⫏≰2012002⋹⋡⊁⫏≰2000021⪁(≤/⫏≰20122201⪮%⊝⫏≰2121122))=NaN","reverse_text":"NaN=⊽((⫏≰2202021⨌↪)⫁⫏≰2012002⋹⋡⊁⫏≰2000021⪁(≤/⫏≰20122201⪮%⊝⫏≰2121122))","cot":[{"info":"⫏≰2202021⨌↪=⫏≰-122210","layer":3},{"info":"⫏≰2012002⋹⋡⊁⫏≰2000021=⫏≰10001001","layer":3},{"info":"⫏≰-122210⫁⫏≰10001001=⫏≰12221","layer":2},{"info":"⫏≰20122201⪮%⊝⫏≰2121122=⫏≰111202010","layer":3},{"info":"≤/⫏≰111202010=⫏≰-111002012","layer":2},{"info":"⫏≰12221⪁⫏≰-111002012=NaN","layer":1},{"info":"⊽NaN=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"⩎⋉(⇺⋃($1823$⋛$1625$⪨≂$8155$∀⇚≩$3724$))","expression":"⩎⋉(⇺⋃(⫏≰2111112⋛⫏≰2020012⪨≂⫏≰102012001∀⇚≩⫏≰12002221))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":57459,"operation_count":5,"complexity_ratio":11491.8,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1823,"base":3},"right_expr":{"type":"numeric_atoms","value":1625,"base":3}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8155,"base":3},"right_expr":{"type":"numeric_atoms","value":3724,"base":3}}}}},"used_operators":["FlXk3pOYe8","E5v5B3UAjG","sdazOOVcIp","YbUVn0Rbpy","LRNGc0VcxI"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1823","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=1625, 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=-115785","layer":3},{"info":"number node, value=8155","layer":4},{"info":"number node, value=3724","layer":4},{"info":"compute binary expreesion, left_input=8155, right_input=3724, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-115785, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"⩎⋉(⇺⋃(⫏≰2111112⋛⫏≰2020012⪨≂⫏≰102012001∀⇚≩⫏≰12002221))=NaN","reverse_text":"NaN=⩎⋉(⇺⋃(⫏≰2111112⋛⫏≰2020012⪨≂⫏≰102012001∀⇚≩⫏≰12002221))","cot":[{"info":"⫏≰2111112⋛⫏≰2020012=⫏≰-12212211100","layer":3},{"info":"⫏≰102012001∀⇚≩⫏≰12002221=NaN","layer":3},{"info":"⫏≰-12212211100⪨≂NaN=NaN","layer":2},{"info":"⇺⋃NaN=NaN","layer":1},{"info":"⩎⋉NaN=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"⊥(↴⪽⋼($1520$≎⪠$1346$⇞))","expression":"⊥(↴⪽⋼(⫏≰2002022≎⪠⫏≰1211212⇞))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":19122,"operation_count":4,"complexity_ratio":4780.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1520,"base":3},"right_expr":{"type":"numeric_atoms","value":1346,"base":3}}}}},"used_operators":["Q3PJZHRvZv","5TUYCnJO6w","5JYyxRJd4f","aNhz54LH3e"],"dependent_operators":["fu6greOZ01","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1520","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=1346, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=78145","layer":2},{"info":"compute unary expreesion, input=78145, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=78145","layer":1},{"info":"compute unary expreesion, input=78145, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⊥(↴⪽⋼(⫏≰2002022≎⪠⫏≰1211212⇞))=NaN","reverse_text":"NaN=⊥(↴⪽⋼(⫏≰2002022≎⪠⫏≰1211212⇞))","cot":[{"info":"⫏≰2002022≎⪠⫏≰1211212=⫏≰222211101","layer":3},{"info":"⫏≰222211101⇞=⫏≰10222012021","layer":2},{"info":"↴⪽⋼⫏≰10222012021=⫏≰10222012021","layer":1},{"info":"⊥⫏≰10222012021=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"(⪸$1865$)↼⊘⨖$5748$⊱⇼⊻$9324$⨰(≻⋜($5007$⪛⫼$3415$))⪨≂(($3281$↸$3522$)⋅⇍($3808$*$2577$)↛⩡⫤)","expression":"(⪸⫏≰2120002)↼⊘⨖⫏≰21212220⊱⇼⊻⫏≰110210100⨰(≻⋜(⫏≰20212110⪛⫼⫏≰11200111))⪨≂((⫏≰11111112↸⫏≰11211110)⋅⇍(⫏≰12020001*⫏≰10112110)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10259,"operation_count":11,"complexity_ratio":932.6363636363636,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1865,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5748,"base":3},"right_expr":{"type":"numeric_atoms","value":9324,"base":3}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5007,"base":3},"right_expr":{"type":"numeric_atoms","value":3415,"base":3}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3281,"base":3},"right_expr":{"type":"numeric_atoms","value":3522,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3808,"base":3},"right_expr":{"type":"numeric_atoms","value":2577,"base":3}}}}},"used_operators":["sdazOOVcIp","eewbuw0ToL","bPywburJMS","86A5ENbKR9","FyVja0WsTP","3tj9sqzovi","hyuBjUqXlG","FU0Cs4j7VP","AdZkA7nFnk","1eCjFl0mb9","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-31496","layer":3},{"info":"number node, value=5748","layer":4},{"info":"number node, value=9324","layer":4},{"info":"compute binary expreesion, left_input=5748, right_input=9324, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-31496, right_input=434, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=646","layer":2},{"info":"number node, value=5007","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=5007, right_input=3415, 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":3},{"info":"compute unary expreesion, input=968, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=646, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3281","layer":4},{"info":"number node, value=3522","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=3522, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3281","layer":3},{"info":"number node, value=3808","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=3808, right_input=2577, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9813216","layer":3},{"info":"compute binary expreesion, left_input=3281, right_input=9813216, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3957","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3957, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⪸⫏≰2120002)↼⊘⨖⫏≰21212220⊱⇼⊻⫏≰110210100⨰(≻⋜(⫏≰20212110⪛⫼⫏≰11200111))⪨≂((⫏≰11111112↸⫏≰11211110)⋅⇍(⫏≰12020001*⫏≰10112110)↛⩡⫤)=NaN","reverse_text":"NaN=(⪸⫏≰2120002)↼⊘⨖⫏≰21212220⊱⇼⊻⫏≰110210100⨰(≻⋜(⫏≰20212110⪛⫼⫏≰11200111))⪨≂((⫏≰11111112↸⫏≰11211110)⋅⇍(⫏≰12020001*⫏≰10112110)↛⩡⫤)","cot":[{"info":"⪸⫏≰2120002=⫏≰-1121012112","layer":3},{"info":"⫏≰21212220⊱⇼⊻⫏≰110210100=⫏≰121002","layer":3},{"info":"⫏≰-1121012112↼⊘⨖⫏≰121002=⫏≰212221","layer":2},{"info":"⫏≰20212110⪛⫼⫏≰11200111=⫏≰1022212","layer":3},{"info":"≻⋜⫏≰1022212=NaN","layer":2},{"info":"⫏≰212221⨰NaN=NaN","layer":1},{"info":"⫏≰11111112↸⫏≰11211110=⫏≰11111112","layer":3},{"info":"⫏≰12020001*⫏≰10112110=⫏≰200110120012110","layer":3},{"info":"⫏≰11111112⋅⇍⫏≰200110120012110=⫏≰-211","layer":2},{"info":"⫏≰-211↛⩡⫤=⫏≰12102120","layer":1},{"info":"NaN⪨≂⫏≰12102120=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"($1028$⩣⫁∢$2493$)⫞⩸⩒($5303$∑⇟⊟$2538$)⫯⪬∳((⪝⪂⫅$1846$)≥⨤⩑$1502$≠≀$3927$)⩹(($5348$⊠≄⫣)⩧⪆(↽≂$2965$))↢($4610$⪭≯$8411$⫸⇳($2306$∙⊟$1965$))","expression":"(⫏≰1102002⩣⫁∢⫏≰10102100)⫞⩸⩒(⫏≰21021102∑⇟⊟⫏≰10111000)⫯⪬∳((⪝⪂⫅⫏≰2112101)≥⨤⩑⫏≰2001122≠≀⫏≰12101110)⩹((⫏≰21100002⊠≄⫣)⩧⪆(↽≂⫏≰11001211))↢(⫏≰20022202⪭≯⫏≰102112112⫸⇳(⫏≰10011102∙⊟⫏≰2200210))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":40596,"operation_count":15,"complexity_ratio":2706.4,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1028,"base":3},"right_expr":{"type":"numeric_atoms","value":2493,"base":3}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5303,"base":3},"right_expr":{"type":"numeric_atoms","value":2538,"base":3}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1846,"base":3}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1502,"base":3},"right_expr":{"type":"numeric_atoms","value":3927,"base":3}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5348,"base":3}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2965,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4610,"base":3},"right_expr":{"type":"numeric_atoms","value":8411,"base":3}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2306,"base":3},"right_expr":{"type":"numeric_atoms","value":1965,"base":3}}}}},"used_operators":["2Wsdkap16l","d7ASUq0ydm","XGcMNugi78","JDUIKTTSIa","U7g4x0WXJJ","gJLn6v0xnP","XTarYq4gQB","IwW236VD4Y","WR6HLWljOP","Ikt5ks8PT7","DIvbN7qnHd","u6S6b8DprG","gx7XJ7hdpj","XAx5wpdLa6","SxTAKzQCrw"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9HNa5Wba9A","8w2t5hMYqp","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⫏≰21110122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=2493, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1895","layer":3},{"info":"number node, value=5303","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=5303, right_input=2538, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1895, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-1895","layer":2},{"info":"number node, value=1846","layer":4},{"info":"compute unary expreesion, input=1846, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-271362","layer":3},{"info":"number node, value=1502","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=3927, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2698","layer":3},{"info":"compute binary expreesion, left_input=-271362, right_input=-2698, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1895, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5212","layer":1},{"info":"number node, value=5348","layer":4},{"info":"compute unary expreesion, input=5348, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2965","layer":4},{"info":"compute unary expreesion, input=2965, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5930","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5930, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=5930","layer":2},{"info":"number node, value=4610","layer":4},{"info":"number node, value=8411","layer":4},{"info":"compute binary expreesion, left_input=4610, right_input=8411, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=2306","layer":4},{"info":"number node, value=1965","layer":4},{"info":"compute binary expreesion, left_input=2306, right_input=1965, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=39824","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=39824, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5930, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5446","layer":1},{"info":"compute binary expreesion, left_input=5212, right_input=5446, 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=5444","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1102002⩣⫁∢⫏≰10102100)⫞⩸⩒(⫏≰21021102∑⇟⊟⫏≰10111000)⫯⪬∳((⪝⪂⫅⫏≰2112101)≥⨤⩑⫏≰2001122≠≀⫏≰12101110)⩹((⫏≰21100002⊠≄⫣)⩧⪆(↽≂⫏≰11001211))↢(⫏≰20022202⪭≯⫏≰102112112⫸⇳(⫏≰10011102∙⊟⫏≰2200210))=⫏≰21110122","reverse_text":"⫏≰21110122=(⫏≰1102002⩣⫁∢⫏≰10102100)⫞⩸⩒(⫏≰21021102∑⇟⊟⫏≰10111000)⫯⪬∳((⪝⪂⫅⫏≰2112101)≥⨤⩑⫏≰2001122≠≀⫏≰12101110)⩹((⫏≰21100002⊠≄⫣)⩧⪆(↽≂⫏≰11001211))↢(⫏≰20022202⪭≯⫏≰102112112⫸⇳(⫏≰10011102∙⊟⫏≰2200210))","cot":[{"info":"⫏≰1102002⩣⫁∢⫏≰10102100=⫏≰-2121012","layer":3},{"info":"⫏≰21021102∑⇟⊟⫏≰10111000=NaN","layer":3},{"info":"⫏≰-2121012⫞⩸⩒NaN=⫏≰-2121012","layer":2},{"info":"⪝⪂⫅⫏≰2112101=⫏≰-111210020110","layer":3},{"info":"⫏≰2001122≠≀⫏≰12101110=⫏≰-10200221","layer":3},{"info":"⫏≰-111210020110≥⨤⩑⫏≰-10200221=NaN","layer":2},{"info":"⫏≰-2121012⫯⪬∳NaN=⫏≰21011001","layer":1},{"info":"⫏≰21100002⊠≄⫣=⫏≰0","layer":3},{"info":"↽≂⫏≰11001211=⫏≰-22010122","layer":3},{"info":"⫏≰0⩧⪆⫏≰-22010122=⫏≰22010122","layer":2},{"info":"⫏≰20022202⪭≯⫏≰102112112=NaN","layer":3},{"info":"⫏≰10011102∙⊟⫏≰2200210=⫏≰2000121222","layer":3},{"info":"NaN⫸⇳⫏≰2000121222=NaN","layer":2},{"info":"⫏≰22010122↢NaN=⫏≰21110201","layer":1},{"info":"⫏≰21011001⩹⫏≰21110201=⫏≰21110122","layer":0}]}
{"id":870,"expression_no_base_symbol":"(($2262$⫒⫫$3524$)≚⊃≕(⇐$3003$)⪉⨛($3919$⪁$2704$)⪔⊥($4132$⪁$2552$))⫞⩸⩒((⩦⊞($2877$↼⊘⨖$1106$))∙∹∝$4979$⨚$5908$≭($2608$⪄$3345$))","expression":"((⫏≰10002210⫒⫫⫏≰11211112)≚⊃≕(⇐⫏≰11010020)⪉⨛(⫏≰12101011⪁⫏≰10201011)⪔⊥(⫏≰12200001⪁⫏≰10111112))⫞⩸⩒((⩦⊞(⫏≰10221120↼⊘⨖⫏≰1111222))∙∹∝⫏≰20211102⨚⫏≰22002211≭(⫏≰10120121⪄⫏≰11120220))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":138741351,"operation_count":14,"complexity_ratio":9910096.5,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2262,"base":3},"right_expr":{"type":"numeric_atoms","value":3524,"base":3}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3003,"base":3}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3919,"base":3},"right_expr":{"type":"numeric_atoms","value":2704,"base":3}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4132,"base":3},"right_expr":{"type":"numeric_atoms","value":2552,"base":3}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2877,"base":3},"right_expr":{"type":"numeric_atoms","value":1106,"base":3}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4979,"base":3},"right_expr":{"type":"numeric_atoms","value":5908,"base":3}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2608,"base":3},"right_expr":{"type":"numeric_atoms","value":3345,"base":3}}}}},"used_operators":["XGcMNugi78","EWw2JM7wp4","Bmrmz2XGnR","6Ko8hGgeMq","nmZMaaE0Q9","HJ9erzHUuu","I7sXao9hZE","HmxsFra2vL","u7fv1HBiaC","bPywburJMS","rxpJgHHUmx","nREPSIbpBE","SUmda5xLS4"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","AHs5Up7iyr","BjRHVeLaeN","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2262","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=3524, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=3003","layer":4},{"info":"compute unary expreesion, input=3003, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=5244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5244, 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":2},{"info":"number node, value=3919","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=3919, right_input=2704, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=4132","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=4132, right_input=2552, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=2877","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=1106, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1990","layer":3},{"info":"compute unary expreesion, input=1990, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1717","layer":2},{"info":"number node, value=4979","layer":4},{"info":"number node, value=5908","layer":4},{"info":"compute binary expreesion, left_input=4979, right_input=5908, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-12740","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=3345, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-395453","layer":3},{"info":"compute binary expreesion, left_input=-12740, right_input=-395453, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1717, right_input=nan, 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=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10002210⫒⫫⫏≰11211112)≚⊃≕(⇐⫏≰11010020)⪉⨛(⫏≰12101011⪁⫏≰10201011)⪔⊥(⫏≰12200001⪁⫏≰10111112))⫞⩸⩒((⩦⊞(⫏≰10221120↼⊘⨖⫏≰1111222))∙∹∝⫏≰20211102⨚⫏≰22002211≭(⫏≰10120121⪄⫏≰11120220))=NaN","reverse_text":"NaN=((⫏≰10002210⫒⫫⫏≰11211112)≚⊃≕(⇐⫏≰11010020)⪉⨛(⫏≰12101011⪁⫏≰10201011)⪔⊥(⫏≰12200001⪁⫏≰10111112))⫞⩸⩒((⩦⊞(⫏≰10221120↼⊘⨖⫏≰1111222))∙∹∝⫏≰20211102⨚⫏≰22002211≭(⫏≰10120121⪄⫏≰11120220))","cot":[{"info":"⫏≰10002210⫒⫫⫏≰11211112=NaN","layer":3},{"info":"⇐⫏≰11010020=⫏≰21012020","layer":3},{"info":"NaN≚⊃≕⫏≰21012020=⫏≰2111","layer":2},{"info":"⫏≰12101011⪁⫏≰10201011=NaN","layer":3},{"info":"⫏≰12200001⪁⫏≰10111112=NaN","layer":3},{"info":"NaN⪔⊥NaN=NaN","layer":2},{"info":"⫏≰2111⪉⨛NaN=NaN","layer":1},{"info":"⫏≰10221120↼⊘⨖⫏≰1111222=⫏≰2201201","layer":3},{"info":"⩦⊞⫏≰2201201=⫏≰-2100121","layer":2},{"info":"⫏≰20211102⨚⫏≰22002211=⫏≰-122110212","layer":3},{"info":"⫏≰10120121⪄⫏≰11120220=⫏≰-202002110102","layer":3},{"info":"⫏≰-122110212≭⫏≰-202002110102=NaN","layer":2},{"info":"⫏≰-2100121∙∹∝NaN=⫏≰0","layer":1},{"info":"NaN⫞⩸⩒⫏≰0=NaN","layer":0}]}
{"id":871,"expression_no_base_symbol":"⨰⫟⨤((⇜$4282$⩍⋽⫝̸$4741$)⩺⪪($1800$∠↢$1535$)⨪↰⇹$1072$⨸$1071$)","expression":"⨰⫟⨤((⇜⫏≰12212121⩍⋽⫝̸⫏≰20111121)⩺⪪(⫏≰2110200∠↢⫏≰2002212)⨪↰⇹⫏≰1110201⨸⫏≰1110200)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":37416,"operation_count":7,"complexity_ratio":5345.142857142857,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4282,"base":3},"right_expr":{"type":"numeric_atoms","value":4741,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1800,"base":3},"right_expr":{"type":"numeric_atoms","value":1535,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1072,"base":3},"right_expr":{"type":"numeric_atoms","value":1071,"base":3}}}}},"used_operators":["Tw270M8GLb","uvdQJvN4PV","lFBm8KRb8F","BiWNJpBvwn","tmPS8pqC7x","KbjG8mgYpV","KmoU8R5UQR"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","Ph9nP6C5qx","xUOZtlo3hN","rJVOvQCfKK","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4282","layer":4},{"info":"number node, value=4741","layer":4},{"info":"compute binary expreesion, left_input=4282, right_input=4741, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3795","layer":3},{"info":"compute unary expreesion, input=3795, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-30768","layer":2},{"info":"number node, value=1800","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=1535, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-27608","layer":3},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1071, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2144","layer":3},{"info":"compute binary expreesion, left_input=-27608, right_input=2144, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-27608","layer":2},{"info":"compute binary expreesion, left_input=-30768, right_input=-27608, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute unary expreesion, input=-1818, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤((⇜⫏≰12212121⩍⋽⫝̸⫏≰20111121)⩺⪪(⫏≰2110200∠↢⫏≰2002212)⨪↰⇹⫏≰1110201⨸⫏≰1110200)=NaN","reverse_text":"NaN=⨰⫟⨤((⇜⫏≰12212121⩍⋽⫝̸⫏≰20111121)⩺⪪(⫏≰2110200∠↢⫏≰2002212)⨪↰⇹⫏≰1110201⨸⫏≰1110200)","cot":[{"info":"⫏≰12212121⩍⋽⫝̸⫏≰20111121=⫏≰12012120","layer":3},{"info":"⇜⫏≰12012120=⫏≰-1120012120","layer":2},{"info":"⫏≰2110200∠↢⫏≰2002212=⫏≰-1101212112","layer":3},{"info":"⫏≰1110201⨸⫏≰1110200=⫏≰2221102","layer":3},{"info":"⫏≰-1101212112⨪↰⇹⫏≰2221102=⫏≰-1101212112","layer":2},{"info":"⫏≰-1120012120⩺⪪⫏≰-1101212112=⫏≰-2111100","layer":1},{"info":"⨰⫟⨤⫏≰-2111100=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"($2311$⩁⩘$1824$⊹∫⫚($4148$⫏⊷))⊴($7683$⩵∡$1285$)⪃⊛⇣($2411$+$5667$)≎⊠⪸(⋃(≇⪴$1239$))⪮%⊝(≸≮($1311$≭$1606$))","expression":"(⫏≰10011121⩁⩘⫏≰2111120⊹∫⫚(⫏≰12200122⫏⊷))⊴(⫏≰101112120⩵∡⫏≰1202121)⪃⊛⇣(⫏≰10022022+⫏≰21202220)≎⊠⪸(⋃(≇⪴⫏≰1200220))⪮%⊝(≸≮(⫏≰1210120≭⫏≰2012111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14598,"operation_count":13,"complexity_ratio":1122.923076923077,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2311,"base":3},"right_expr":{"type":"numeric_atoms","value":1824,"base":3}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":4148,"base":3}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":7683,"base":3},"right_expr":{"type":"numeric_atoms","value":1285,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2411,"base":3},"right_expr":{"type":"numeric_atoms","value":5667,"base":3}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1239,"base":3}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1311,"base":3},"right_expr":{"type":"numeric_atoms","value":1606,"base":3}}}}},"used_operators":["bJkvcejdHO","Nsiff2A1zJ","uWAJUKEvyW","gub5Cegaqo","dcShxvzhyw","rrgAzCduG9","Y7wcNGrDQJ","W4YGzv6Whe","IWmyXbctLI","3mBM5G4a3l","zoVPnxeHJ3","AljMvE3RRm","rxpJgHHUmx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DpFCA1CohY","IWmyXbctLI","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","g55IO6H4Gj","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","AHs5Up7iyr"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2311","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=1824, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8244","layer":3},{"info":"number node, value=4148","layer":4},{"info":"compute unary expreesion, input=4148, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=8244, right_input=-820, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-112","layer":2},{"info":"number node, value=7683","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=7683, right_input=1285, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-14202","layer":3},{"info":"number node, value=2411","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=5667, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8078","layer":3},{"info":"compute binary expreesion, left_input=-14202, right_input=8078, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-112, right_input=1234, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1239","layer":4},{"info":"compute unary expreesion, input=1239, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2377","layer":3},{"info":"compute unary expreesion, input=-2377, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-4652","layer":2},{"info":"number node, value=1311","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=1606, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4652, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":3,"result_base":3,"text":"(⫏≰10011121⩁⩘⫏≰2111120⊹∫⫚(⫏≰12200122⫏⊷))⊴(⫏≰101112120⩵∡⫏≰1202121)⪃⊛⇣(⫏≰10022022+⫏≰21202220)≎⊠⪸(⋃(≇⪴⫏≰1200220))⪮%⊝(≸≮(⫏≰1210120≭⫏≰2012111))=⫏≰2111","reverse_text":"⫏≰2111=(⫏≰10011121⩁⩘⫏≰2111120⊹∫⫚(⫏≰12200122⫏⊷))⊴(⫏≰101112120⩵∡⫏≰1202121)⪃⊛⇣(⫏≰10022022+⫏≰21202220)≎⊠⪸(⋃(≇⪴⫏≰1200220))⪮%⊝(≸≮(⫏≰1210120≭⫏≰2012111))","cot":[{"info":"⫏≰10011121⩁⩘⫏≰2111120=⫏≰102022100","layer":3},{"info":"⫏≰12200122⫏⊷=⫏≰-1010101","layer":3},{"info":"⫏≰102022100⊹∫⫚⫏≰-1010101=⫏≰-11011","layer":2},{"info":"⫏≰101112120⩵∡⫏≰1202121=⫏≰-201111000","layer":3},{"info":"⫏≰10022022+⫏≰21202220=⫏≰102002012","layer":3},{"info":"⫏≰-201111000⪃⊛⇣⫏≰102002012=⫏≰1200201","layer":2},{"info":"⫏≰-11011⊴⫏≰1200201=NaN","layer":1},{"info":"≇⪴⫏≰1200220=⫏≰-10021001","layer":3},{"info":"⋃⫏≰-10021001=⫏≰-20101022","layer":2},{"info":"⫏≰1210120≭⫏≰2012111=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"⫏≰-20101022⪮%⊝NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫏≰2111","layer":0}]}
{"id":873,"expression_no_base_symbol":"≘(($4430$≎⪠$1439$⨽($6874$↱$1365$))⨀⨒)","expression":"≘((⫏≰20002002≎⪠⫏≰1222022⨽(⫏≰100102121↱⫏≰1212120))⨀⨒)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":38954,"operation_count":5,"complexity_ratio":7790.8,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4430,"base":3},"right_expr":{"type":"numeric_atoms","value":1439,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6874,"base":3},"right_expr":{"type":"numeric_atoms","value":1365,"base":3}}}}},"used_operators":["tcjXMdvYtA","j6NVkjMzuk","8HhzD0ZcuI","aNhz54LH3e","SR5kFfdi6N"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⫏≰2122200102222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4430","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=4430, right_input=1439, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=6874","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=6874, right_input=1365, 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=-3573","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-3573, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1147534059","layer":2},{"info":"compute unary expreesion, input=-1147534059, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2400","layer":1},{"info":"compute unary expreesion, input=-2400, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=1410938","layer":0}],"base":3,"result_base":3,"text":"≘((⫏≰20002002≎⪠⫏≰1222022⨽(⫏≰100102121↱⫏≰1212120))⨀⨒)=⫏≰2122200102222","reverse_text":"⫏≰2122200102222=≘((⫏≰20002002≎⪠⫏≰1222022⨽(⫏≰100102121↱⫏≰1212120))⨀⨒)","cot":[{"info":"⫏≰20002002≎⪠⫏≰1222022=⫏≰222211101","layer":3},{"info":"⫏≰100102121↱⫏≰1212120=⫏≰-11220100","layer":3},{"info":"⫏≰222211101⨽⫏≰-11220100=⫏≰-2221222021202210110","layer":2},{"info":"⫏≰-2221222021202210110⨀⨒=⫏≰-10021220","layer":1},{"info":"≘⫏≰-10021220=⫏≰2122200102222","layer":0}]}
{"id":874,"expression_no_base_symbol":"((⨞⊢$2457$)⪕$3049$⇡⇂$1063$)⪔⊥(⪹$5683$⇡⇂$2960$)⇍⊗(($1812$⪥⨬⪅)≌(↔$3718$))⫗⊷⫓(($2707$⫠)≹⇙⪍$2327$⫁⪎$3150$)","expression":"((⨞⊢⫏≰10101000)⪕⫏≰11011221⇡⇂⫏≰1110101)⪔⊥(⪹⫏≰21210111⇡⇂⫏≰11001122)⇍⊗((⫏≰2111010⪥⨬⪅)≌(↔⫏≰12002201))⫗⊷⫓((⫏≰10201021⫠)≹⇙⪍⫏≰10012012⫁⪎⫏≰11022200)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":828709,"operation_count":14,"complexity_ratio":59193.5,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2457,"base":3}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3049,"base":3},"right_expr":{"type":"numeric_atoms","value":1063,"base":3}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5683,"base":3},"right_expr":{"type":"numeric_atoms","value":2960,"base":3}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":1812,"base":3}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3718,"base":3}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2707,"base":3}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2327,"base":3},"right_expr":{"type":"numeric_atoms","value":3150,"base":3}}}}},"used_operators":["5uvYHDjeKN","HJ9erzHUuu","umQnsF7QlU","xUOZtlo3hN","UMwdvZNt44","USyYr0JgAa","zashukvMKz","lyWz822IDG","zNRQejTB5A","ruOEQAzv1W","AHs5Up7iyr","6SnOT2rOjz","xRrnTEsQ6j"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","tifHPKVTfV","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⫏≰-100001","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2457","layer":4},{"info":"compute unary expreesion, input=2457, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2631","layer":3},{"info":"number node, value=3049","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=1063, 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":3},{"info":"compute binary expreesion, left_input=-2631, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=5683","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=5683, right_input=2960, 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":3},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"number node, value=3718","layer":4},{"info":"compute unary expreesion, input=3718, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3445","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-3445, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=2707","layer":4},{"info":"compute unary expreesion, input=2707, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=3150, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-823","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-823, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":3,"result_base":3,"text":"((⨞⊢⫏≰10101000)⪕⫏≰11011221⇡⇂⫏≰1110101)⪔⊥(⪹⫏≰21210111⇡⇂⫏≰11001122)⇍⊗((⫏≰2111010⪥⨬⪅)≌(↔⫏≰12002201))⫗⊷⫓((⫏≰10201021⫠)≹⇙⪍⫏≰10012012⫁⪎⫏≰11022200)=⫏≰-100001","reverse_text":"⫏≰-100001=((⨞⊢⫏≰10101000)⪕⫏≰11011221⇡⇂⫏≰1110101)⪔⊥(⪹⫏≰21210111⇡⇂⫏≰11001122)⇍⊗((⫏≰2111010⪥⨬⪅)≌(↔⫏≰12002201))⫗⊷⫓((⫏≰10201021⫠)≹⇙⪍⫏≰10012012⫁⪎⫏≰11022200)","cot":[{"info":"⨞⊢⫏≰10101000=⫏≰-10121110","layer":3},{"info":"⫏≰11011221⇡⇂⫏≰1110101=NaN","layer":3},{"info":"⫏≰-10121110⪕NaN=⫏≰1021122","layer":2},{"info":"⫏≰21210111⇡⇂⫏≰11001122=NaN","layer":3},{"info":"⪹NaN=NaN","layer":2},{"info":"⫏≰1021122⪔⊥NaN=NaN","layer":1},{"info":"⫏≰2111010⪥⨬⪅=⫏≰-122112","layer":3},{"info":"↔⫏≰12002201=⫏≰-11201121","layer":3},{"info":"⫏≰-122112≌⫏≰-11201121=NaN","layer":2},{"info":"⫏≰10201021⫠=⫏≰0","layer":3},{"info":"⫏≰10012012⫁⪎⫏≰11022200=⫏≰-1010111","layer":3},{"info":"⫏≰0≹⇙⪍⫏≰-1010111=NaN","layer":2},{"info":"NaN⫗⊷⫓NaN=⫏≰-11222","layer":1},{"info":"NaN⇍⊗⫏≰-11222=⫏≰-100001","layer":0}]}
{"id":875,"expression_no_base_symbol":"((⫡⇟⇯($1435$∐⫣))+$1406$∥⊢⊲$6130$⫥∨⫟$1075$⇡⇂$4692$)⫗⊷⫓(⊊≼∋(≑⋹($3640$⩨$2607$)))","expression":"((⫡⇟⇯(⫏≰1222011∐⫣))+⫏≰1221002∥⊢⊲⫏≰22102001⫥∨⫟⫏≰1110211⇡⇂⫏≰20102210)⫗⊷⫓(⊊≼∋(≑⋹(⫏≰11222211⩨⫏≰10120120)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":119088,"operation_count":10,"complexity_ratio":11908.8,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1435,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1406,"base":3},"right_expr":{"type":"numeric_atoms","value":6130,"base":3}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1075,"base":3},"right_expr":{"type":"numeric_atoms","value":4692,"base":3}}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3640,"base":3},"right_expr":{"type":"numeric_atoms","value":2607,"base":3}}}}},"used_operators":["zashukvMKz","W4YGzv6Whe","qWUSsah53b","4CyGpkTkEk","KYD54nUTWz","v1UQAVDJRr","UMwdvZNt44","FWz7pXsQhA","6B9nyZLogK","2DlMacCsIx"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DZ8iAZOCBD","P8v4zCKN1o","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","8HhzD0ZcuI","rGHVDoGpnC","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","B5M0gjZbta","jCPkEVoL5K","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute unary expreesion, input=551, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=1970","layer":2},{"info":"number node, value=1406","layer":4},{"info":"number node, value=6130","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=6130, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1075","layer":4},{"info":"number node, value=4692","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=4692, 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":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1970, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3640","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=2607, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"compute unary expreesion, input=-694, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":3,"result_base":3,"text":"((⫡⇟⇯(⫏≰1222011∐⫣))+⫏≰1221002∥⊢⊲⫏≰22102001⫥∨⫟⫏≰1110211⇡⇂⫏≰20102210)⫗⊷⫓(⊊≼∋(≑⋹(⫏≰11222211⩨⫏≰10120120)))=⫏≰-11222","reverse_text":"⫏≰-11222=((⫡⇟⇯(⫏≰1222011∐⫣))+⫏≰1221002∥⊢⊲⫏≰22102001⫥∨⫟⫏≰1110211⇡⇂⫏≰20102210)⫗⊷⫓(⊊≼∋(≑⋹(⫏≰11222211⩨⫏≰10120120)))","cot":[{"info":"⫏≰1222011∐⫣=⫏≰202102","layer":3},{"info":"⫡⇟⇯⫏≰202102=⫏≰2200222","layer":2},{"info":"⫏≰1221002∥⊢⊲⫏≰22102001=NaN","layer":3},{"info":"⫏≰1110211⇡⇂⫏≰20102210=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"⫏≰2200222+NaN=NaN","layer":1},{"info":"⫏≰11222211⩨⫏≰10120120=⫏≰0","layer":3},{"info":"≑⋹⫏≰0=⫏≰-221201","layer":2},{"info":"⊊≼∋⫏≰-221201=NaN","layer":1},{"info":"NaN⫗⊷⫓NaN=⫏≰-11222","layer":0}]}
{"id":876,"expression_no_base_symbol":"∮((⊁⨺(∤$1672$))⋥≓≎(($1317$⩚⊴⇥$1313$)⊀⩕))","expression":"∮((⊁⨺(∤⫏≰2021221))⋥≓≎((⫏≰1210210⩚⊴⇥⫏≰1210122)⊀⩕))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1795,"operation_count":6,"complexity_ratio":299.1666666666667,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1672,"base":3}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1317,"base":3},"right_expr":{"type":"numeric_atoms","value":1313,"base":3}}}}},"used_operators":["CqXKPLVYql","Qy55tPpLXF","PxiHyQbrIp","k2HlF1dBQh","r0FS3hW4cC","NTOWxs364D"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rGHVDoGpnC","nhYeJWJD5X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫏≰-110002211120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1672","layer":4},{"info":"compute unary expreesion, input=1672, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, 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":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1313, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2751","layer":3},{"info":"compute unary expreesion, input=-2751, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-127","layer":1},{"info":"compute unary expreesion, input=-127, 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=-238263","layer":0}],"base":3,"result_base":3,"text":"∮((⊁⨺(∤⫏≰2021221))⋥≓≎((⫏≰1210210⩚⊴⇥⫏≰1210122)⊀⩕))=⫏≰-110002211120","reverse_text":"⫏≰-110002211120=∮((⊁⨺(∤⫏≰2021221))⋥≓≎((⫏≰1210210⩚⊴⇥⫏≰1210122)⊀⩕))","cot":[{"info":"∤⫏≰2021221=⫏≰100","layer":3},{"info":"⊁⨺⫏≰100=⫏≰12221","layer":2},{"info":"⫏≰1210210⩚⊴⇥⫏≰1210122=⫏≰-10202220","layer":3},{"info":"⫏≰-10202220⊀⩕=⫏≰0","layer":2},{"info":"⫏≰12221⋥≓≎⫏≰0=⫏≰-11201","layer":1},{"info":"∮⫏≰-11201=⫏≰-110002211120","layer":0}]}
{"id":877,"expression_no_base_symbol":"(($4396$≬⋮$2882$)⨓$1722$↹⊜$2377$)⇂≾⫗(⪹$3275$∓⋝$3315$)≧⫂∧(≀↧⇸(↪⫪⫘($2828$⊔$1167$)))","expression":"((⫏≰20000211≬⋮⫏≰10221202)⨓⫏≰2100210↹⊜⫏≰10021001)⇂≾⫗(⪹⫏≰11111022∓⋝⫏≰11112210)≧⫂∧(≀↧⇸(↪⫪⫘(⫏≰10212202⊔⫏≰1121020)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6711,"operation_count":10,"complexity_ratio":671.1,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4396,"base":3},"right_expr":{"type":"numeric_atoms","value":2882,"base":3}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1722,"base":3},"right_expr":{"type":"numeric_atoms","value":2377,"base":3}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3275,"base":3},"right_expr":{"type":"numeric_atoms","value":3315,"base":3}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2828,"base":3},"right_expr":{"type":"numeric_atoms","value":1167,"base":3}}}}},"used_operators":["Ph9nP6C5qx","aBQ6xLxuTc","3ViojmjbAp","kbkesczE7y","9bazX3JMtO","USyYr0JgAa","PoHhknlbAi","ljTHtUsqzn","9dWsAM3GFt","E4l6HwMY31"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","tifHPKVTfV","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","XPYlsWDdGa","23Mk6UjR3U","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⫏≰-202111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4396","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=4396, right_input=2882, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1722","layer":4},{"info":"number node, value=2377","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=2377, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6160","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-6160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=6157","layer":2},{"info":"number node, value=3275","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=3315, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=6157, right_input=113, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=2828","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=1167, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9091","layer":3},{"info":"compute unary expreesion, input=9091, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-80","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=-80, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-553","layer":0}],"base":3,"result_base":3,"text":"((⫏≰20000211≬⋮⫏≰10221202)⨓⫏≰2100210↹⊜⫏≰10021001)⇂≾⫗(⪹⫏≰11111022∓⋝⫏≰11112210)≧⫂∧(≀↧⇸(↪⫪⫘(⫏≰10212202⊔⫏≰1121020)))=⫏≰-202111","reverse_text":"⫏≰-202111=((⫏≰20000211≬⋮⫏≰10221202)⨓⫏≰2100210↹⊜⫏≰10021001)⇂≾⫗(⪹⫏≰11111022∓⋝⫏≰11112210)≧⫂∧(≀↧⇸(↪⫪⫘(⫏≰10212202⊔⫏≰1121020)))","cot":[{"info":"⫏≰20000211≬⋮⫏≰10221202=⫏≰1012011","layer":3},{"info":"⫏≰2100210↹⊜⫏≰10021001=⫏≰-22110011","layer":3},{"info":"⫏≰1012011⨓⫏≰-22110011=⫏≰22110001","layer":2},{"info":"⫏≰11111022∓⋝⫏≰11112210=⫏≰2111","layer":3},{"info":"⪹⫏≰2111=⫏≰11012","layer":2},{"info":"⫏≰22110001⇂≾⫗⫏≰11012=⫏≰-220211","layer":1},{"info":"⫏≰10212202⊔⫏≰1121020=⫏≰110110201","layer":3},{"info":"↪⫪⫘⫏≰110110201=⫏≰202","layer":2},{"info":"≀↧⇸⫏≰202=⫏≰-2222","layer":1},{"info":"⫏≰-220211≧⫂∧⫏≰-2222=⫏≰-202111","layer":0}]}
{"id":878,"expression_no_base_symbol":"((∓⪦($2931$⇣⩺⋵$5842$))≠≀($3323$⪍↜⋙$3152$⇄$8433$⇷$1110$))≨(↨⩢⫨($3800$⊠≄⫣))≌(($1435$⨌↪)∙⊟$2748$∌↝$3935$)","expression":"((∓⪦(⫏≰11000120⇣⩺⋵⫏≰22000101))≠≀(⫏≰11120002⪍↜⋙⫏≰11022202⇄⫏≰102120100⇷⫏≰1112010))≨(↨⩢⫨(⫏≰12012202⊠≄⫣))≌((⫏≰1222011⨌↪)∙⊟⫏≰10202210∌↝⫏≰12101202)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":141012,"operation_count":13,"complexity_ratio":10847.076923076924,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2931,"base":3},"right_expr":{"type":"numeric_atoms","value":5842,"base":3}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3323,"base":3},"right_expr":{"type":"numeric_atoms","value":3152,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8433,"base":3},"right_expr":{"type":"numeric_atoms","value":1110,"base":3}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3800,"base":3}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":1435,"base":3}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2748,"base":3},"right_expr":{"type":"numeric_atoms","value":3935,"base":3}}}}},"used_operators":["0KMCeP1Jsh","IwW236VD4Y","D309nIvmXG","F4yD0voBRQ","3EYGwJThht","L05ObWFQCd","mp7IySMOzn","lyWz822IDG","Z5CJsN7DuW","DIvbN7qnHd","SxTAKzQCrw","cWQsF5MvuD","9Isq31Ruls"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫏≰-220122201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2931","layer":4},{"info":"number node, value=5842","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=5842, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2166","layer":2},{"info":"number node, value=3323","layer":4},{"info":"number node, value=3152","layer":4},{"info":"compute binary expreesion, left_input=3323, right_input=3152, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=342","layer":3},{"info":"number node, value=8433","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=8433, right_input=1110, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2220","layer":3},{"info":"compute binary expreesion, left_input=342, right_input=2220, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2166, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=2045","layer":1},{"info":"number node, value=3800","layer":4},{"info":"compute unary expreesion, input=3800, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=2748","layer":4},{"info":"number node, value=3935","layer":4},{"info":"compute binary expreesion, left_input=2748, right_input=3935, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21984","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=21984, 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=2045, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-17974","layer":0}],"base":3,"result_base":3,"text":"((∓⪦(⫏≰11000120⇣⩺⋵⫏≰22000101))≠≀(⫏≰11120002⪍↜⋙⫏≰11022202⇄⫏≰102120100⇷⫏≰1112010))≨(↨⩢⫨(⫏≰12012202⊠≄⫣))≌((⫏≰1222011⨌↪)∙⊟⫏≰10202210∌↝⫏≰12101202)=⫏≰-220122201","reverse_text":"⫏≰-220122201=((∓⪦(⫏≰11000120⇣⩺⋵⫏≰22000101))≠≀(⫏≰11120002⪍↜⋙⫏≰11022202⇄⫏≰102120100⇷⫏≰1112010))≨(↨⩢⫨(⫏≰12012202⊠≄⫣))≌((⫏≰1222011⨌↪)∙⊟⫏≰10202210∌↝⫏≰12101202)","cot":[{"info":"⫏≰11000120⇣⩺⋵⫏≰22000101=⫏≰-100122","layer":3},{"info":"∓⪦⫏≰-100122=⫏≰-2222020","layer":2},{"info":"⫏≰11120002⪍↜⋙⫏≰11022202=⫏≰110200","layer":3},{"info":"⫏≰102120100⇷⫏≰1112010=⫏≰10001020","layer":3},{"info":"⫏≰110200⇄⫏≰10001020=⫏≰0","layer":2},{"info":"⫏≰-2222020≠≀⫏≰0=⫏≰2210202","layer":1},{"info":"⫏≰12012202⊠≄⫣=⫏≰0","layer":3},{"info":"↨⩢⫨⫏≰0=⫏≰0","layer":2},{"info":"⫏≰1222011⨌↪=⫏≰-122210","layer":3},{"info":"⫏≰10202210∌↝⫏≰12101202=⫏≰0","layer":3},{"info":"⫏≰-122210∙⊟⫏≰0=⫏≰1010011020","layer":2},{"info":"⫏≰0≌⫏≰1010011020=NaN","layer":1},{"info":"⫏≰2210202≨NaN=⫏≰-220122201","layer":0}]}
{"id":879,"expression_no_base_symbol":"(($2667$⇴∐$1298$)⫯⪬∳(⇖⫷⫕$5555$)↡⊰⫅($1055$⪉⨛$1030$)⩌⋺($1569$⪨⊡$1615$))≎⊠⪸(⪭⩑⪱($6253$⊋$1129$)⊴($1917$⪨≂$8191$))","expression":"((⫏≰10122210⇴∐⫏≰1210002)⫯⪬∳(⇖⫷⫕⫏≰21121202)↡⊰⫅(⫏≰1110002⪉⨛⫏≰1102011)⩌⋺(⫏≰2011010⪨⊡⫏≰2012211))≎⊠⪸(⪭⩑⪱(⫏≰22120121⊋⫏≰1112211)⊴(⫏≰2122000⪨≂⫏≰102020101))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":854076,"operation_count":12,"complexity_ratio":71173.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2667,"base":3},"right_expr":{"type":"numeric_atoms","value":1298,"base":3}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":5555,"base":3}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1055,"base":3},"right_expr":{"type":"numeric_atoms","value":1030,"base":3}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1569,"base":3},"right_expr":{"type":"numeric_atoms","value":1615,"base":3}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6253,"base":3},"right_expr":{"type":"numeric_atoms","value":1129,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1917,"base":3},"right_expr":{"type":"numeric_atoms","value":8191,"base":3}}}}},"used_operators":["bJkvcejdHO","VCtxkLNOzz","d7ASUq0ydm","HnzytWxmAO","UHmRx3INFg","g7Hmc5v1ko","EWw2JM7wp4","kuIXHzHcAH","SIgE0bArFf","Nsiff2A1zJ","W4tP9CfskL","sdazOOVcIp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2667","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=1298, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=5555","layer":4},{"info":"compute unary expreesion, input=5555, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1030, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2350","layer":3},{"info":"number node, value=1569","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=1615, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2350, right_input=0, 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=-2471","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2471, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=6253","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=6253, right_input=1129, 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=43307244","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=8191","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=8191, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12446","layer":3},{"info":"compute binary expreesion, left_input=43307244, right_input=-12446, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10122210⇴∐⫏≰1210002)⫯⪬∳(⇖⫷⫕⫏≰21121202)↡⊰⫅(⫏≰1110002⪉⨛⫏≰1102011)⩌⋺(⫏≰2011010⪨⊡⫏≰2012211))≎⊠⪸(⪭⩑⪱(⫏≰22120121⊋⫏≰1112211)⊴(⫏≰2122000⪨≂⫏≰102020101))=NaN","reverse_text":"NaN=((⫏≰10122210⇴∐⫏≰1210002)⫯⪬∳(⇖⫷⫕⫏≰21121202)↡⊰⫅(⫏≰1110002⪉⨛⫏≰1102011)⩌⋺(⫏≰2011010⪨⊡⫏≰2012211))≎⊠⪸(⪭⩑⪱(⫏≰22120121⊋⫏≰1112211)⊴(⫏≰2122000⪨≂⫏≰102020101))","cot":[{"info":"⫏≰10122210⇴∐⫏≰1210002=NaN","layer":3},{"info":"⇖⫷⫕⫏≰21121202=⫏≰10212112","layer":3},{"info":"NaN⫯⪬∳⫏≰10212112=NaN","layer":2},{"info":"⫏≰1110002⪉⨛⫏≰1102011=⫏≰10020001","layer":3},{"info":"⫏≰2011010⪨⊡⫏≰2012211=⫏≰0","layer":3},{"info":"⫏≰10020001⩌⋺⫏≰0=⫏≰-10101112","layer":2},{"info":"NaN↡⊰⫅⫏≰-10101112=NaN","layer":1},{"info":"⫏≰22120121⊋⫏≰1112211=⫏≰10000111020101000","layer":3},{"info":"⫏≰2122000⪨≂⫏≰102020101=⫏≰-122001222","layer":3},{"info":"⫏≰10000111020101000⊴⫏≰-122001222=NaN","layer":2},{"info":"⪭⩑⪱NaN=⫏≰120122201221000","layer":1},{"info":"NaN≎⊠⪸⫏≰120122201221000=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"((($1035$⋓$5700$)⪗)∣(($2025$⪹)⨚⇆(⩒∊$3815$)))⊬⨰(($8785$⪪$2740$⫚↹⊑(⫛⫱⨽$2750$))⊝⪿⪼($1051$∺≝⩲$1572$↺($4383$⨲∙)))","expression":"(((⫏≰1102100⋓⫏≰21211010)⪗)∣((⫏≰2210000⪹)⨚⇆(⩒∊⫏≰12020022)))⊬⨰((⫏≰110001101⪪⫏≰10202111⫚↹⊑(⫛⫱⨽⫏≰10202212))⊝⪿⪼(⫏≰1102221∺≝⩲⫏≰2011020↺(⫏≰20000100⨲∙)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":88283,"operation_count":14,"complexity_ratio":6305.928571428572,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1035,"base":3},"right_expr":{"type":"numeric_atoms","value":5700,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2025,"base":3}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":3815,"base":3}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":8785,"base":3},"right_expr":{"type":"numeric_atoms","value":2740,"base":3}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2750,"base":3}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1051,"base":3},"right_expr":{"type":"numeric_atoms","value":1572,"base":3}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":4383,"base":3}}}}},"used_operators":["s3Fd5m9Dh2","PPChnnnBFF","VEQNXA0ZBg","T2fj7uvVaJ","lwHaAYXP2r","B3sABdIn96","qazvmhNBbN","3Oe9XWJUTD","dfKe02y8D2","xD69zh8xqp","DlLNRPXxWL","7j4O788W3g","KPf6cnQVty","cRahaglYVE"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","FU0Cs4j7VP","JclMnS0uGI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG"],"result":"⫏≰122201002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=5700","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=5700, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=0","layer":2},{"info":"number node, value=2025","layer":4},{"info":"compute unary expreesion, input=2025, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=8542","layer":3},{"info":"number node, value=3815","layer":4},{"info":"compute unary expreesion, input=3815, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=6873","layer":3},{"info":"compute binary expreesion, left_input=8542, right_input=6873, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=0","layer":1},{"info":"number node, value=8785","layer":4},{"info":"number node, value=2740","layer":4},{"info":"compute binary expreesion, left_input=8785, right_input=2740, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1322624","layer":3},{"info":"number node, value=2750","layer":4},{"info":"compute unary expreesion, input=2750, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1322624, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1572, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=4383","layer":4},{"info":"compute unary expreesion, input=4383, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=57284826","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=57284826, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=57284826","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=57284826, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=3227","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3227, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12908","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1102100⋓⫏≰21211010)⪗)∣((⫏≰2210000⪹)⨚⇆(⩒∊⫏≰12020022)))⊬⨰((⫏≰110001101⪪⫏≰10202111⫚↹⊑(⫛⫱⨽⫏≰10202212))⊝⪿⪼(⫏≰1102221∺≝⩲⫏≰2011020↺(⫏≰20000100⨲∙)))=⫏≰122201002","reverse_text":"⫏≰122201002=(((⫏≰1102100⋓⫏≰21211010)⪗)∣((⫏≰2210000⪹)⨚⇆(⩒∊⫏≰12020022)))⊬⨰((⫏≰110001101⪪⫏≰10202111⫚↹⊑(⫛⫱⨽⫏≰10202212))⊝⪿⪼(⫏≰1102221∺≝⩲⫏≰2011020↺(⫏≰20000100⨲∙)))","cot":[{"info":"⫏≰1102100⋓⫏≰21211010=⫏≰0","layer":3},{"info":"⫏≰0⪗=⫏≰0","layer":2},{"info":"⫏≰2210000⪹=⫏≰102201101","layer":3},{"info":"⩒∊⫏≰12020022=⫏≰100102120","layer":3},{"info":"⫏≰102201101⨚⇆⫏≰100102120=NaN","layer":2},{"info":"⫏≰0∣NaN=⫏≰0","layer":1},{"info":"⫏≰110001101⪪⫏≰10202111=⫏≰-2111012022002","layer":3},{"info":"⫛⫱⨽⫏≰10202212=⫏≰0","layer":3},{"info":"⫏≰-2111012022002⫚↹⊑⫏≰0=⫏≰-121120","layer":2},{"info":"⫏≰1102221∺≝⩲⫏≰2011020=⫏≰12221","layer":3},{"info":"⫏≰20000100⨲∙=⫏≰10222210101000020","layer":3},{"info":"⫏≰12221↺⫏≰10222210101000020=⫏≰10222210101000020","layer":2},{"info":"⫏≰-121120⊝⪿⪼⫏≰10222210101000020=⫏≰11102112","layer":1},{"info":"⫏≰0⊬⨰⫏≰11102112=⫏≰122201002","layer":0}]}
{"id":881,"expression_no_base_symbol":"(((⇨$1509$)⪕($1853$↛⩡⫤))↳≱($5037$⪡$1674$)⨂≜($4914$%$2512$))⫗⊷⫓((≻⋜$5275$)⊭↱$1015$≠≀$2526$⩨($6635$⪔⊥$3255$∖$3996$⪒⊣⊆$3061$))","expression":"(((⇨⫏≰2001220)⪕(⫏≰2112122↛⩡⫤))↳≱(⫏≰20220120⪡⫏≰2022000)⨂≜(⫏≰20202000%⫏≰10110001))⫗⊷⫓((≻⋜⫏≰21020101)⊭↱⫏≰1101121≠≀⫏≰10110120⩨(⫏≰100002202⪔⊥⫏≰11110120∖⫏≰12111000⪒⊣⊆⫏≰11012101))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34810,"operation_count":15,"complexity_ratio":2320.6666666666665,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1509,"base":3}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1853,"base":3}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5037,"base":3},"right_expr":{"type":"numeric_atoms","value":1674,"base":3}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4914,"base":3},"right_expr":{"type":"numeric_atoms","value":2512,"base":3}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":5275,"base":3}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1015,"base":3},"right_expr":{"type":"numeric_atoms","value":2526,"base":3}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6635,"base":3},"right_expr":{"type":"numeric_atoms","value":3255,"base":3}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3996,"base":3},"right_expr":{"type":"numeric_atoms","value":3061,"base":3}}}}},"used_operators":["zashukvMKz","JwTKLfZU96","umQnsF7QlU","G9tJMlZ94a","FU0Cs4j7VP","k1SHOSEABc","oraRL2iQuh","k8jYdgA6NY","2DlMacCsIx","COABgblf1C","3tj9sqzovi","IwW236VD4Y","tXD093vOjl","HJ9erzHUuu","eRqsBgTDFp"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","sdazOOVcIp","W4YGzv6Whe"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1509","layer":4},{"info":"compute unary expreesion, input=1509, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1853","layer":4},{"info":"compute unary expreesion, input=1853, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-275892","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-275892, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=5037","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=1674, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=4914","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=4914, right_input=2512, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2402","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=2402, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=5275","layer":4},{"info":"compute unary expreesion, input=5275, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2526, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1724","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1724, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=6635","layer":4},{"info":"number node, value=3255","layer":4},{"info":"compute binary expreesion, left_input=6635, right_input=3255, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=19831","layer":3},{"info":"number node, value=3996","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=3996, right_input=3061, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7992","layer":3},{"info":"compute binary expreesion, left_input=19831, right_input=7992, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"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":3,"result_base":3,"text":"(((⇨⫏≰2001220)⪕(⫏≰2112122↛⩡⫤))↳≱(⫏≰20220120⪡⫏≰2022000)⨂≜(⫏≰20202000%⫏≰10110001))⫗⊷⫓((≻⋜⫏≰21020101)⊭↱⫏≰1101121≠≀⫏≰10110120⩨(⫏≰100002202⪔⊥⫏≰11110120∖⫏≰12111000⪒⊣⊆⫏≰11012101))=⫏≰-11222","reverse_text":"⫏≰-11222=(((⇨⫏≰2001220)⪕(⫏≰2112122↛⩡⫤))↳≱(⫏≰20220120⪡⫏≰2022000)⨂≜(⫏≰20202000%⫏≰10110001))⫗⊷⫓((≻⋜⫏≰21020101)⊭↱⫏≰1101121≠≀⫏≰10110120⩨(⫏≰100002202⪔⊥⫏≰11110120∖⫏≰12111000⪒⊣⊆⫏≰11012101))","cot":[{"info":"⇨⫏≰2001220=⫏≰0","layer":3},{"info":"⫏≰2112122↛⩡⫤=⫏≰-112000110020","layer":3},{"info":"⫏≰0⪕⫏≰-112000110020=⫏≰1021122","layer":2},{"info":"⫏≰20220120⪡⫏≰2022000=⫏≰10222","layer":3},{"info":"⫏≰20202000%⫏≰10110001=⫏≰10021222","layer":3},{"info":"⫏≰10222⨂≜⫏≰10021222=NaN","layer":2},{"info":"⫏≰1021122↳≱NaN=⫏≰0","layer":1},{"info":"≻⋜⫏≰21020101=NaN","layer":3},{"info":"⫏≰1101121≠≀⫏≰10110120=⫏≰-2100212","layer":3},{"info":"NaN⊭↱⫏≰-2100212=NaN","layer":2},{"info":"⫏≰100002202⪔⊥⫏≰11110120=⫏≰1000012111","layer":3},{"info":"⫏≰12111000⪒⊣⊆⫏≰11012101=⫏≰101222000","layer":3},{"info":"⫏≰1000012111∖⫏≰101222000=⫏≰0","layer":2},{"info":"NaN⩨⫏≰0=NaN","layer":1},{"info":"⫏≰0⫗⊷⫓NaN=⫏≰-11222","layer":0}]}
{"id":882,"expression_no_base_symbol":"⩷(≅≯⇸$4690$⩦$2205$)⨟⋌⩍($4880$⪪$1401$⫌⩹⨱)","expression":"⩷(≅≯⇸⫏≰20102201⩦⫏≰10000200)⨟⋌⩍(⫏≰20200202⪪⫏≰1220220⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14829,"operation_count":6,"complexity_ratio":2471.5,"tree":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4690,"base":3},"right_expr":{"type":"numeric_atoms","value":2205,"base":3}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4880,"base":3},"right_expr":{"type":"numeric_atoms","value":1401,"base":3}}}}},"used_operators":["1h0rLqGiFr","rGHVDoGpnC","apS25hmuAe","0kmYd0q39Y","EBcxylXtPf","xD69zh8xqp"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Tcnh7f0tEr","EBcxylXtPf","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4690","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=4690, right_input=2205, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=9380","layer":3},{"info":"compute unary expreesion, input=9380, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=45197","layer":2},{"info":"number node, value=4880","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=4880, right_input=1401, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-732969","layer":3},{"info":"compute unary expreesion, input=-732969, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-1464537","layer":2},{"info":"compute binary expreesion, left_input=45197, right_input=-1464537, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⩷(≅≯⇸⫏≰20102201⩦⫏≰10000200)⨟⋌⩍(⫏≰20200202⪪⫏≰1220220⫌⩹⨱)=NaN","reverse_text":"NaN=⩷(≅≯⇸⫏≰20102201⩦⫏≰10000200)⨟⋌⩍(⫏≰20200202⪪⫏≰1220220⫌⩹⨱)","cot":[{"info":"⫏≰20102201⩦⫏≰10000200=⫏≰110212102","layer":3},{"info":"≅≯⇸⫏≰110212102=⫏≰2021222222","layer":2},{"info":"⫏≰20200202⪪⫏≰1220220=⫏≰-1101020110000","layer":3},{"info":"⫏≰-1101020110000⫌⩹⨱=⫏≰-2202101222010","layer":2},{"info":"⫏≰2021222222⨟⋌⩍⫏≰-2202101222010=NaN","layer":1},{"info":"⩷NaN=NaN","layer":0}]}
{"id":883,"expression_no_base_symbol":"((≘($3206$⊔$5235$))⫰⋱($1722$⊱⇼⊻$9354$⫰⋱$7910$≎⪠$2354$))≝⊿(((⪛⨧$1178$)⇮⋭$1315$⋳⪒$4558$)⊿∆)","expression":"((≘(⫏≰11101202⊔⫏≰21011220))⫰⋱(⫏≰2100210⊱⇼⊻⫏≰110211110⫰⋱⫏≰101211222≎⪠⫏≰10020012))≝⊿(((⪛⨧⫏≰1121122)⇮⋭⫏≰1210201⋳⪒⫏≰20020211)⊿∆)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19425,"operation_count":11,"complexity_ratio":1765.909090909091,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3206,"base":3},"right_expr":{"type":"numeric_atoms","value":5235,"base":3}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1722,"base":3},"right_expr":{"type":"numeric_atoms","value":9354,"base":3}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":7910,"base":3},"right_expr":{"type":"numeric_atoms","value":2354,"base":3}}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1178,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1315,"base":3},"right_expr":{"type":"numeric_atoms","value":4558,"base":3}}}}},"used_operators":["OKKcZfAt5B","6o9Blt3TJ6","tcjXMdvYtA","E4l6HwMY31","FyVja0WsTP","aNhz54LH3e","fv3ZujxkQL","vkpjKywKVM","6NJAcO2OWT","12rbrZMWeM"],"dependent_operators":["12rbrZMWeM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","NTOWxs364D","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰11122020202100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3206","layer":4},{"info":"number node, value=5235","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=5235, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=30187","layer":3},{"info":"compute unary expreesion, input=30187, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=66563119","layer":2},{"info":"number node, value=1722","layer":4},{"info":"number node, value=9354","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=9354, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=7910","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=7910, right_input=2354, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=19558, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-401","layer":2},{"info":"compute binary expreesion, left_input=66563119, right_input=-401, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-66563086","layer":1},{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3757","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=4558, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2215","layer":3},{"info":"compute binary expreesion, left_input=3757, right_input=-2215, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-255","layer":1},{"info":"compute binary expreesion, left_input=-66563086, right_input=-255, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=66563063","layer":0}],"base":3,"result_base":3,"text":"((≘(⫏≰11101202⊔⫏≰21011220))⫰⋱(⫏≰2100210⊱⇼⊻⫏≰110211110⫰⋱⫏≰101211222≎⪠⫏≰10020012))≝⊿(((⪛⨧⫏≰1121122)⇮⋭⫏≰1210201⋳⪒⫏≰20020211)⊿∆)=⫏≰11122020202100122","reverse_text":"⫏≰11122020202100122=((≘(⫏≰11101202⊔⫏≰21011220))⫰⋱(⫏≰2100210⊱⇼⊻⫏≰110211110⫰⋱⫏≰101211222≎⪠⫏≰10020012))≝⊿(((⪛⨧⫏≰1121122)⇮⋭⫏≰1210201⋳⪒⫏≰20020211)⊿∆)","cot":[{"info":"⫏≰11101202⊔⫏≰21011220=⫏≰1112102001","layer":3},{"info":"≘⫏≰1112102001=⫏≰11122020202102201","layer":2},{"info":"⫏≰2100210⊱⇼⊻⫏≰110211110=⫏≰121002","layer":3},{"info":"⫏≰101211222≎⪠⫏≰10020012=⫏≰222211101","layer":3},{"info":"⫏≰121002⫰⋱⫏≰222211101=⫏≰-112212","layer":2},{"info":"⫏≰11122020202102201⫰⋱⫏≰-112212=⫏≰-11122020202101111","layer":1},{"info":"⪛⨧⫏≰1121122=⫏≰12011011","layer":3},{"info":"⫏≰1210201⋳⪒⫏≰20020211=⫏≰-10001001","layer":3},{"info":"⫏≰12011011⇮⋭⫏≰-10001001=⫏≰2111","layer":2},{"info":"⫏≰2111⊿∆=⫏≰-100110","layer":1},{"info":"⫏≰-11122020202101111≝⊿⫏≰-100110=⫏≰11122020202100122","layer":0}]}
{"id":884,"expression_no_base_symbol":"((⩩($1287$⇌⫙⪟$4121$))⇂≾⫗($1929$⋛$4987$≬⋮$2350$⨿$1925$))⫗⊷⫓(∜⨇(($2635$⨱∎)⫘($2250$⪥⨬⪅)))","expression":"((⩩(⫏≰1202200⇌⫙⪟⫏≰12122122))⇂≾⫗(⫏≰2122110⋛⫏≰20211201≬⋮⫏≰10020001⨿⫏≰2122022))⫗⊷⫓(∜⨇((⫏≰10121121⨱∎)⫘(⫏≰10002100⪥⨬⪅)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":102156,"operation_count":11,"complexity_ratio":9286.90909090909,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1287,"base":3},"right_expr":{"type":"numeric_atoms","value":4121,"base":3}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1929,"base":3},"right_expr":{"type":"numeric_atoms","value":4987,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2350,"base":3},"right_expr":{"type":"numeric_atoms","value":1925,"base":3}}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2635,"base":3}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":2250,"base":3}}}}},"used_operators":["zashukvMKz","aBQ6xLxuTc","kMhfGuqI2H","AFVx7xoS7T","kbkesczE7y","YbUVn0Rbpy","abYXlopdE0","uFPyJr306J","48vC8HMD2b","MmTdOpaElr","zNRQejTB5A"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tifHPKVTfV","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1287","layer":4},{"info":"number node, value=4121","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=4121, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1929","layer":4},{"info":"number node, value=4987","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=4987, 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=-114831","layer":3},{"info":"number node, value=2350","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=1925, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-114831, right_input=-319, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"number node, value=2635","layer":4},{"info":"compute unary expreesion, input=2635, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-473, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, 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=nan, 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":3,"result_base":3,"text":"((⩩(⫏≰1202200⇌⫙⪟⫏≰12122122))⇂≾⫗(⫏≰2122110⋛⫏≰20211201≬⋮⫏≰10020001⨿⫏≰2122022))⫗⊷⫓(∜⨇((⫏≰10121121⨱∎)⫘(⫏≰10002100⪥⨬⪅)))=⫏≰-11222","reverse_text":"⫏≰-11222=((⩩(⫏≰1202200⇌⫙⪟⫏≰12122122))⇂≾⫗(⫏≰2122110⋛⫏≰20211201≬⋮⫏≰10020001⨿⫏≰2122022))⫗⊷⫓(∜⨇((⫏≰10121121⨱∎)⫘(⫏≰10002100⪥⨬⪅)))","cot":[{"info":"⫏≰1202200⇌⫙⪟⫏≰12122122=⫏≰11012","layer":3},{"info":"⩩⫏≰11012=NaN","layer":2},{"info":"⫏≰2122110⋛⫏≰20211201=⫏≰-12211112000","layer":3},{"info":"⫏≰10020001⨿⫏≰2122022=⫏≰-102211","layer":3},{"info":"⫏≰-12211112000≬⋮⫏≰-102211=⫏≰1012011","layer":2},{"info":"NaN⇂≾⫗⫏≰1012011=NaN","layer":1},{"info":"⫏≰10121121⨱∎=⫏≰0","layer":3},{"info":"⫏≰10002100⪥⨬⪅=⫏≰-122112","layer":3},{"info":"⫏≰0⫘⫏≰-122112=NaN","layer":2},{"info":"∜⨇NaN=NaN","layer":1},{"info":"NaN⫗⊷⫓NaN=⫏≰-11222","layer":0}]}
{"id":885,"expression_no_base_symbol":"(⊗(⫖→$3182$⇤$5587$))⊍⩺⋍(≻⋜($1017$≭$4444$))↤⩊($2665$⪟⇏$2018$⫥∨⫟$1408$∘$3014$)","expression":"(⊗(⫖→⫏≰11100212⇤⫏≰21122221))⊍⩺⋍(≻⋜(⫏≰1101200≭⫏≰20002121))↤⩊(⫏≰10122201⪟⇏⫏≰2202202⫥∨⫟⫏≰1221011∘⫏≰11010122)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":41825,"operation_count":10,"complexity_ratio":4182.5,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3182,"base":3},"right_expr":{"type":"numeric_atoms","value":5587,"base":3}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1017,"base":3},"right_expr":{"type":"numeric_atoms","value":4444,"base":3}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2665,"base":3},"right_expr":{"type":"numeric_atoms","value":2018,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1408,"base":3},"right_expr":{"type":"numeric_atoms","value":3014,"base":3}}}}},"used_operators":["OXDGMFPWZM","RhiyfpczSx","U4ylXWHChL","YSKBFp38Pu","13rbtpv6ld","3tj9sqzovi","rxpJgHHUmx","KYD54nUTWz","GODebY97qR","Z5m6OM72h2"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3182","layer":4},{"info":"number node, value=5587","layer":4},{"info":"compute binary expreesion, left_input=3182, right_input=5587, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-40997","layer":3},{"info":"compute unary expreesion, input=-40997, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=203","layer":1},{"info":"number node, value=1017","layer":4},{"info":"number node, value=4444","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=4444, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=2665","layer":4},{"info":"number node, value=2018","layer":4},{"info":"compute binary expreesion, left_input=2665, right_input=2018, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1408","layer":4},{"info":"number node, value=3014","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=3014, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2816","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2816, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=203, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊗(⫖→⫏≰11100212⇤⫏≰21122221))⊍⩺⋍(≻⋜(⫏≰1101200≭⫏≰20002121))↤⩊(⫏≰10122201⪟⇏⫏≰2202202⫥∨⫟⫏≰1221011∘⫏≰11010122)=NaN","reverse_text":"NaN=(⊗(⫖→⫏≰11100212⇤⫏≰21122221))⊍⩺⋍(≻⋜(⫏≰1101200≭⫏≰20002121))↤⩊(⫏≰10122201⪟⇏⫏≰2202202⫥∨⫟⫏≰1221011∘⫏≰11010122)","cot":[{"info":"⫏≰11100212⇤⫏≰21122221=⫏≰-2002020102","layer":3},{"info":"⫖→⫏≰-2002020102=⫏≰20120","layer":2},{"info":"⊗⫏≰20120=⫏≰21112","layer":1},{"info":"⫏≰1101200≭⫏≰20002121=NaN","layer":3},{"info":"≻⋜NaN=NaN","layer":2},{"info":"⫏≰10122201⪟⇏⫏≰2202202=⫏≰-1","layer":3},{"info":"⫏≰1221011∘⫏≰11010122=⫏≰10212022","layer":3},{"info":"⫏≰-1⫥∨⫟⫏≰10212022=NaN","layer":2},{"info":"NaN↤⩊NaN=NaN","layer":1},{"info":"⫏≰21112⊍⩺⋍NaN=NaN","layer":0}]}
{"id":886,"expression_no_base_symbol":"($1883$⨰$1474$*$4077$⇷$1539$)⨰($1092$∣$1367$⫩⊇)⩹(⊙↵-((⫖→$1536$)+(⨵≀≌$5719$)))","expression":"(⫏≰2120202⨰⫏≰2000121*⫏≰12121000⇷⫏≰2010000)⨰(⫏≰1111110∣⫏≰1212122⫩⊇)⩹(⊙↵-((⫖→⫏≰2002220)+(⨵≀≌⫏≰21211211)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":76282,"operation_count":11,"complexity_ratio":6934.727272727273,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1883,"base":3},"right_expr":{"type":"numeric_atoms","value":1474,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4077,"base":3},"right_expr":{"type":"numeric_atoms","value":1539,"base":3}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1092,"base":3},"right_expr":{"type":"numeric_atoms","value":1367,"base":3}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1536,"base":3}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5719,"base":3}}}}},"used_operators":["2Wsdkap16l","eewbuw0ToL","9HNa5Wba9A","mp7IySMOzn","BjRHVeLaeN","PPChnnnBFF","oWn0xqSxBt","W4YGzv6Whe","U4ylXWHChL","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫏≰21012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1883","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=1474, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=419","layer":3},{"info":"number node, value=4077","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=4077, right_input=1539, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3078","layer":3},{"info":"compute binary expreesion, left_input=419, right_input=3078, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1289682","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1367, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1092","layer":3},{"info":"compute unary expreesion, input=1092, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1050","layer":2},{"info":"compute binary expreesion, left_input=1289682, right_input=-1050, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1290742","layer":1},{"info":"number node, value=1536","layer":4},{"info":"compute unary expreesion, input=1536, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=5719","layer":4},{"info":"compute unary expreesion, input=5719, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17157","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-17157, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-16980","layer":2},{"info":"compute unary expreesion, input=-16980, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"compute binary expreesion, left_input=1290742, right_input=196, 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=194","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2120202⨰⫏≰2000121*⫏≰12121000⇷⫏≰2010000)⨰(⫏≰1111110∣⫏≰1212122⫩⊇)⩹(⊙↵-((⫖→⫏≰2002220)+(⨵≀≌⫏≰21211211)))=⫏≰21012","reverse_text":"⫏≰21012=(⫏≰2120202⨰⫏≰2000121*⫏≰12121000⇷⫏≰2010000)⨰(⫏≰1111110∣⫏≰1212122⫩⊇)⩹(⊙↵-((⫖→⫏≰2002220)+(⨵≀≌⫏≰21211211)))","cot":[{"info":"⫏≰2120202⨰⫏≰2000121=⫏≰120112","layer":3},{"info":"⫏≰12121000⇷⫏≰2010000=⫏≰11020000","layer":3},{"info":"⫏≰120112*⫏≰11020000=⫏≰2102112010000","layer":2},{"info":"⫏≰1111110∣⫏≰1212122=⫏≰1111110","layer":3},{"info":"⫏≰1111110⫩⊇=⫏≰-1102220","layer":2},{"info":"⫏≰2102112010000⨰⫏≰-1102220=⫏≰2102120120021","layer":1},{"info":"⫖→⫏≰2002220=⫏≰20120","layer":3},{"info":"⨵≀≌⫏≰21211211=⫏≰-212112110","layer":3},{"info":"⫏≰20120+⫏≰-212112110=⫏≰-212021220","layer":2},{"info":"⊙↵-⫏≰-212021220=⫏≰21021","layer":1},{"info":"⫏≰2102120120021⩹⫏≰21021=⫏≰21012","layer":0}]}
{"id":887,"expression_no_base_symbol":"(⩰($1619$*$1678$)↬(⊖∈$1321$))↯⫤","expression":"(⩰(⫏≰2012222*⫏≰2022011)↬(⊖∈⫏≰1210221))↯⫤","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1701,"operation_count":5,"complexity_ratio":340.2,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1619,"base":3},"right_expr":{"type":"numeric_atoms","value":1678,"base":3}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1321,"base":3}}}}},"used_operators":["VwlE7vj6HS","WkeUrDK8WX","B5M0gjZbta","9HNa5Wba9A","YFxL8Sc2Zy"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rGHVDoGpnC","W4YGzv6Whe","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1619","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=1678, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2716682","layer":3},{"info":"number node, value=1321","layer":4},{"info":"compute unary expreesion, input=1321, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=20826","layer":3},{"info":"compute binary expreesion, left_input=2716682, right_input=20826, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⩰(⫏≰2012222*⫏≰2022011)↬(⊖∈⫏≰1210221))↯⫤=NaN","reverse_text":"NaN=(⩰(⫏≰2012222*⫏≰2022011)↬(⊖∈⫏≰1210221))↯⫤","cot":[{"info":"⫏≰2012222*⫏≰2022011=⫏≰12010000120212","layer":3},{"info":"⊖∈⫏≰1210221=⫏≰1001120100","layer":3},{"info":"⫏≰12010000120212↬⫏≰1001120100=NaN","layer":2},{"info":"⩰NaN=NaN","layer":1},{"info":"NaN↯⫤=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"((∥⊫(≸≮$4486$))⨰($4209$⇌⫙⪟$2506$⋷$1283$⨚⇆$1048$))⩘((⨮↦↱$2432$)⨔⇊($3824$∘$2968$)≚⋢)","expression":"((∥⊫(≸≮⫏≰20011011))⨰(⫏≰12202220⇌⫙⪟⫏≰10102211⋷⫏≰1202112⨚⇆⫏≰1102211))⩘((⨮↦↱⫏≰10100002)⨔⇊(⫏≰12020122∘⫏≰11001221)≚⋢)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21107,"operation_count":11,"complexity_ratio":1918.8181818181818,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":4486,"base":3}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4209,"base":3},"right_expr":{"type":"numeric_atoms","value":2506,"base":3}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1283,"base":3},"right_expr":{"type":"numeric_atoms","value":1048,"base":3}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2432,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3824,"base":3},"right_expr":{"type":"numeric_atoms","value":2968,"base":3}}}}},"used_operators":["cHh1gJQ2o6","eewbuw0ToL","P8v4zCKN1o","AljMvE3RRm","23Mk6UjR3U","AFVx7xoS7T","lwHaAYXP2r","MahUMFw56D","JclMnS0uGI","sYcpBQ0cFf","Z5m6OM72h2"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","3ViojmjbAp","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","eH2TOUuTDT","rysDP5nf3Z"],"result":"⫏≰12221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4486","layer":4},{"info":"compute unary expreesion, input=4486, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=4209","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=2506, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1048, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-226","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-226, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2432","layer":4},{"info":"compute unary expreesion, input=2432, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-11282442","layer":3},{"info":"number node, value=3824","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=2968, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7648","layer":3},{"info":"compute binary expreesion, left_input=-11282442, right_input=7648, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=7648","layer":2},{"info":"compute unary expreesion, input=7648, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":3,"result_base":3,"text":"((∥⊫(≸≮⫏≰20011011))⨰(⫏≰12202220⇌⫙⪟⫏≰10102211⋷⫏≰1202112⨚⇆⫏≰1102211))⩘((⨮↦↱⫏≰10100002)⨔⇊(⫏≰12020122∘⫏≰11001221)≚⋢)=⫏≰12221","reverse_text":"⫏≰12221=((∥⊫(≸≮⫏≰20011011))⨰(⫏≰12202220⇌⫙⪟⫏≰10102211⋷⫏≰1202112⨚⇆⫏≰1102211))⩘((⨮↦↱⫏≰10100002)⨔⇊(⫏≰12020122∘⫏≰11001221)≚⋢)","cot":[{"info":"≸≮⫏≰20011011=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⫏≰12202220⇌⫙⪟⫏≰10102211=⫏≰11012","layer":3},{"info":"⫏≰1202112⨚⇆⫏≰1102211=NaN","layer":3},{"info":"⫏≰11012⋷NaN=⫏≰-22101","layer":2},{"info":"NaN⨰⫏≰-22101=NaN","layer":1},{"info":"⨮↦↱⫏≰10100002=⫏≰-210020012121020","layer":3},{"info":"⫏≰12020122∘⫏≰11001221=⫏≰101111021","layer":3},{"info":"⫏≰-210020012121020⨔⇊⫏≰101111021=⫏≰101111021","layer":2},{"info":"⫏≰101111021≚⋢=⫏≰-10022","layer":1},{"info":"NaN⩘⫏≰-10022=⫏≰12221","layer":0}]}
{"id":889,"expression_no_base_symbol":"(($2365$↞⋁$1743$⫸⊐$3741$≦↸$1019$)≳⇉($2843$⪢$1316$↰))↑","expression":"((⫏≰10020121↞⋁⫏≰2101120⫸⊐⫏≰12010120≦↸⫏≰1101202)≳⇉(⫏≰10220022⪢⫏≰1210202↰))↑","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7491,"operation_count":7,"complexity_ratio":1070.142857142857,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2365,"base":3},"right_expr":{"type":"numeric_atoms","value":1743,"base":3}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3741,"base":3},"right_expr":{"type":"numeric_atoms","value":1019,"base":3}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2843,"base":3},"right_expr":{"type":"numeric_atoms","value":1316,"base":3}}}}},"used_operators":["BThhyOhh10","V0kx6qeWkN","mqXw5SEYmG","RqrPlJkxDo","RygbFNSyEJ","bl5wxAcryP","dWAJyo7jo9"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","nCS4ZIUYfx","Z2TMIBDE3Q","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2365","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=1743, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3741","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=3741, right_input=1019, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8839","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8839, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=2843","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=1316, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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 = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰10020121↞⋁⫏≰2101120⫸⊐⫏≰12010120≦↸⫏≰1101202)≳⇉(⫏≰10220022⪢⫏≰1210202↰))↑=NaN","reverse_text":"NaN=((⫏≰10020121↞⋁⫏≰2101120⫸⊐⫏≰12010120≦↸⫏≰1101202)≳⇉(⫏≰10220022⪢⫏≰1210202↰))↑","cot":[{"info":"⫏≰10020121↞⋁⫏≰2101120=NaN","layer":3},{"info":"⫏≰12010120≦↸⫏≰1101202=⫏≰-110010101","layer":3},{"info":"NaN⫸⊐⫏≰-110010101=NaN","layer":2},{"info":"⫏≰10220022⪢⫏≰1210202=NaN","layer":3},{"info":"NaN↰=NaN","layer":2},{"info":"NaN≳⇉NaN=NaN","layer":1},{"info":"NaN↑=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"(⩦⊞($4714$⫲≸⪮$1113$))⪥(($1585$⪍↜⋙$5129$)⨪↰⇹$1272$⇷$3182$)⪘⫢(($3744$⪇≇⋚$5734$)⫣⪄⊒($1056$⇴$4189$)/($3612$⪛$4603$)⋕⪉⪜$9267$⇻⋧≁$1277$)","expression":"(⩦⊞(⫏≰20110121⫲≸⪮⫏≰1112020))⪥((⫏≰2011201⪍↜⋙⫏≰21000222)⨪↰⇹⫏≰1202010⇷⫏≰11100212)⪘⫢((⫏≰12010200⪇≇⋚⫏≰21212101)⫣⪄⊒(⫏≰1110010⇴⫏≰12202011)/(⫏≰11221210⪛⫏≰20022111)⋕⪉⪜⫏≰110201020⇻⋧≁⫏≰1202022)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":50956,"operation_count":14,"complexity_ratio":3639.714285714286,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4714,"base":3},"right_expr":{"type":"numeric_atoms","value":1113,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1585,"base":3},"right_expr":{"type":"numeric_atoms","value":5129,"base":3}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1272,"base":3},"right_expr":{"type":"numeric_atoms","value":3182,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3744,"base":3},"right_expr":{"type":"numeric_atoms","value":5734,"base":3}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1056,"base":3},"right_expr":{"type":"numeric_atoms","value":4189,"base":3}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3612,"base":3},"right_expr":{"type":"numeric_atoms","value":4603,"base":3}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":9267,"base":3},"right_expr":{"type":"numeric_atoms","value":1277,"base":3}}}}},"used_operators":["oacrs7FA3X","QbnwKVWMIQ","u7fv1HBiaC","P3lXMJvFrc","tmPS8pqC7x","L05ObWFQCd","mp7IySMOzn","XhwjNDsVaA","RabNbG55vr","3sJ7IOPOlU","4JB6nKBMSY","z6LnFrNh4i","uFcxV4UQCh","jCPkEVoL5K"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rJVOvQCfKK","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","sdazOOVcIp","NTOWxs364D","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⫏≰-1","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4714","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=4714, right_input=1113, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4714","layer":3},{"info":"compute unary expreesion, input=4714, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4441","layer":2},{"info":"number node, value=1585","layer":4},{"info":"number node, value=5129","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=5129, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-18966","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=3182, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6364","layer":3},{"info":"compute binary expreesion, left_input=-18966, right_input=6364, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-18966","layer":2},{"info":"compute binary expreesion, left_input=-4441, right_input=-18966, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":1},{"info":"number node, value=3744","layer":4},{"info":"number node, value=5734","layer":4},{"info":"compute binary expreesion, left_input=3744, right_input=5734, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=4189, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=14328","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14328, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-86480","layer":2},{"info":"number node, value=3612","layer":4},{"info":"number node, value=4603","layer":4},{"info":"compute binary expreesion, left_input=3612, right_input=4603, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3612","layer":3},{"info":"number node, value=9267","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=9267, right_input=1277, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=3612, right_input=-447, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=-86480, right_input=2802, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-31","layer":1},{"info":"compute binary expreesion, left_input=-1798, right_input=-31, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":3,"result_base":3,"text":"(⩦⊞(⫏≰20110121⫲≸⪮⫏≰1112020))⪥((⫏≰2011201⪍↜⋙⫏≰21000222)⨪↰⇹⫏≰1202010⇷⫏≰11100212)⪘⫢((⫏≰12010200⪇≇⋚⫏≰21212101)⫣⪄⊒(⫏≰1110010⇴⫏≰12202011)/(⫏≰11221210⪛⫏≰20022111)⋕⪉⪜⫏≰110201020⇻⋧≁⫏≰1202022)=⫏≰-1","reverse_text":"⫏≰-1=(⩦⊞(⫏≰20110121⫲≸⪮⫏≰1112020))⪥((⫏≰2011201⪍↜⋙⫏≰21000222)⨪↰⇹⫏≰1202010⇷⫏≰11100212)⪘⫢((⫏≰12010200⪇≇⋚⫏≰21212101)⫣⪄⊒(⫏≰1110010⇴⫏≰12202011)/(⫏≰11221210⪛⫏≰20022111)⋕⪉⪜⫏≰110201020⇻⋧≁⫏≰1202022)","cot":[{"info":"⫏≰20110121⫲≸⪮⫏≰1112020=⫏≰20110121","layer":3},{"info":"⩦⊞⫏≰20110121=⫏≰-20002111","layer":2},{"info":"⫏≰2011201⪍↜⋙⫏≰21000222=⫏≰-222000110","layer":3},{"info":"⫏≰1202010⇷⫏≰11100212=⫏≰22201201","layer":3},{"info":"⫏≰-222000110⨪↰⇹⫏≰22201201=⫏≰-222000110","layer":2},{"info":"⫏≰-20002111⪥⫏≰-222000110=⫏≰-2110121","layer":1},{"info":"⫏≰12010200⪇≇⋚⫏≰21212101=⫏≰0","layer":3},{"info":"⫏≰1110010⇴⫏≰12202011=⫏≰201122200","layer":3},{"info":"⫏≰0⫣⪄⊒⫏≰201122200=⫏≰-11101121222","layer":2},{"info":"⫏≰11221210⪛⫏≰20022111=⫏≰11221210","layer":3},{"info":"⫏≰110201020⇻⋧≁⫏≰1202022=⫏≰-121120","layer":3},{"info":"⫏≰11221210⋕⪉⪜⫏≰-121120=⫏≰10211210","layer":2},{"info":"⫏≰-11101121222/⫏≰10211210=⫏≰-1011","layer":1},{"info":"⫏≰-2110121⪘⫢⫏≰-1011=⫏≰-1","layer":0}]}
{"id":891,"expression_no_base_symbol":"((⊀$2451$)⫲≸⪮$5638$⇌⫙⪟$7178$↙($8861$⊬⨰$1804$⪑⩈))⇔⨋","expression":"((⊀⫏≰10100210)⫲≸⪮⫏≰21201211⇌⫙⪟⫏≰100211212↙(⫏≰110011012⊬⨰⫏≰2110211⪑⩈))⇔⨋","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":116366,"operation_count":7,"complexity_ratio":16623.714285714286,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2451,"base":3}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":5638,"base":3},"right_expr":{"type":"numeric_atoms","value":7178,"base":3}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":8861,"base":3},"right_expr":{"type":"numeric_atoms","value":1804,"base":3}}}}},"used_operators":["uBihLCJcMX","yyfyN0ffXY","P3lXMJvFrc","oPMjh9089D","AFVx7xoS7T","C6VvDP6HwP","s3Fd5m9Dh2"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⫏≰101122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2451","layer":4},{"info":"compute unary expreesion, input=2451, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=9542","layer":3},{"info":"number node, value=5638","layer":4},{"info":"number node, value=7178","layer":4},{"info":"compute binary expreesion, left_input=5638, right_input=7178, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=9542, right_input=113, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=9542","layer":2},{"info":"number node, value=8861","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=8861, right_input=1804, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15021","layer":3},{"info":"compute unary expreesion, input=15021, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=106737","layer":2},{"info":"compute binary expreesion, left_input=9542, right_input=106737, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-320211","layer":1},{"info":"compute unary expreesion, input=-320211, 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":3,"result_base":3,"text":"((⊀⫏≰10100210)⫲≸⪮⫏≰21201211⇌⫙⪟⫏≰100211212↙(⫏≰110011012⊬⨰⫏≰2110211⪑⩈))⇔⨋=⫏≰101122","reverse_text":"⫏≰101122=((⊀⫏≰10100210)⫲≸⪮⫏≰21201211⇌⫙⪟⫏≰100211212↙(⫏≰110011012⊬⨰⫏≰2110211⪑⩈))⇔⨋","cot":[{"info":"⊀⫏≰10100210=⫏≰111002102","layer":3},{"info":"⫏≰21201211⇌⫙⪟⫏≰100211212=⫏≰11012","layer":3},{"info":"⫏≰111002102⫲≸⪮⫏≰11012=⫏≰111002102","layer":2},{"info":"⫏≰110011012⊬⨰⫏≰2110211=⫏≰202121100","layer":3},{"info":"⫏≰202121100⪑⩈=⫏≰12102102020","layer":2},{"info":"⫏≰111002102↙⫏≰12102102020=⫏≰-121021020200","layer":1},{"info":"⫏≰-121021020200⇔⨋=⫏≰101122","layer":0}]}
{"id":892,"expression_no_base_symbol":"(⋃($3143$⨎$1798$⨸⪁($2379$⩨$4123$)))↼⊘⨖(⨩∲⋌((⇜⊴$7487$)∼$1862$⊬⨰$1166$))","expression":"(⋃(⫏≰11022102⨎⫏≰2110121⨸⪁(⫏≰10021010⩨⫏≰12122201)))↼⊘⨖(⨩∲⋌((⇜⊴⫏≰101021022)∼⫏≰2112222⊬⨰⫏≰1121012))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34485,"operation_count":9,"complexity_ratio":3831.6666666666665,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3143,"base":3},"right_expr":{"type":"numeric_atoms","value":1798,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2379,"base":3},"right_expr":{"type":"numeric_atoms","value":4123,"base":3}}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":7487,"base":3}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1862,"base":3},"right_expr":{"type":"numeric_atoms","value":1166,"base":3}}}}},"used_operators":["bPywburJMS","3mBM5G4a3l","g55IO6H4Gj","rJVOvQCfKK","2DlMacCsIx","aSik1wnThz","DyGG3AbaNP","XwDhCwWbUn","s3Fd5m9Dh2"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3143","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=3143, right_input=1798, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1798","layer":3},{"info":"number node, value=2379","layer":4},{"info":"number node, value=4123","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=4123, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=1798, right_input=-3, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3590","layer":2},{"info":"compute unary expreesion, input=3590, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=7282","layer":1},{"info":"number node, value=7487","layer":4},{"info":"compute unary expreesion, input=7487, 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=-1753218","layer":3},{"info":"number node, value=1862","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=1166, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5470","layer":3},{"info":"compute binary expreesion, left_input=-1753218, right_input=5470, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7282, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋃(⫏≰11022102⨎⫏≰2110121⨸⪁(⫏≰10021010⩨⫏≰12122201)))↼⊘⨖(⨩∲⋌((⇜⊴⫏≰101021022)∼⫏≰2112222⊬⨰⫏≰1121012))=NaN","reverse_text":"NaN=(⋃(⫏≰11022102⨎⫏≰2110121⨸⪁(⫏≰10021010⩨⫏≰12122201)))↼⊘⨖(⨩∲⋌((⇜⊴⫏≰101021022)∼⫏≰2112222⊬⨰⫏≰1121012))","cot":[{"info":"⫏≰11022102⨎⫏≰2110121=⫏≰2110121","layer":3},{"info":"⫏≰10021010⩨⫏≰12122201=⫏≰-10","layer":3},{"info":"⫏≰2110121⨸⪁⫏≰-10=⫏≰11220222","layer":2},{"info":"⋃⫏≰11220222=⫏≰100222201","layer":1},{"info":"⇜⊴⫏≰101021022=⫏≰-10022001222000","layer":3},{"info":"⫏≰2112222⊬⨰⫏≰1121012=⫏≰21111121","layer":3},{"info":"⫏≰-10022001222000∼⫏≰21111121=NaN","layer":2},{"info":"⨩∲⋌NaN=NaN","layer":1},{"info":"⫏≰100222201↼⊘⨖NaN=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"((≸($2023$⋥≓≎$2221$))∲⫓($4108$⪨≂$4668$)⫒⫫$3333$↢$1273$)⪓⨏","expression":"((≸(⫏≰2202221⋥≓≎⫏≰10001021))∲⫓(⫏≰12122011⪨≂⫏≰20101220)⫒⫫⫏≰11120110↢⫏≰1202011)⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":852,"operation_count":7,"complexity_ratio":121.71428571428571,"tree":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2023,"base":3},"right_expr":{"type":"numeric_atoms","value":2221,"base":3}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4108,"base":3},"right_expr":{"type":"numeric_atoms","value":4668,"base":3}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3333,"base":3},"right_expr":{"type":"numeric_atoms","value":1273,"base":3}}}}},"used_operators":["4X9JU4Jbn6","i8ToyICDmI","eOf03JbCpp","Qy55tPpLXF","6Ko8hGgeMq","sdazOOVcIp","WR6HLWljOP"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","W4YGzv6Whe","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=2023","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=2221, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2452","layer":3},{"info":"compute unary expreesion, input=2452, 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":2},{"info":"number node, value=4108","layer":4},{"info":"number node, value=4668","layer":4},{"info":"compute binary expreesion, left_input=4108, right_input=4668, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1018","layer":3},{"info":"number node, value=3333","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=1273, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2849","layer":3},{"info":"compute binary expreesion, left_input=-1018, right_input=2849, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=-572","layer":2},{"info":"compute binary expreesion, left_input=58, right_input=-572, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=58","layer":1},{"info":"compute unary expreesion, input=58, 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":3,"result_base":3,"text":"((≸(⫏≰2202221⋥≓≎⫏≰10001021))∲⫓(⫏≰12122011⪨≂⫏≰20101220)⫒⫫⫏≰11120110↢⫏≰1202011)⪓⨏=NaN","reverse_text":"NaN=((≸(⫏≰2202221⋥≓≎⫏≰10001021))∲⫓(⫏≰12122011⪨≂⫏≰20101220)⫒⫫⫏≰11120110↢⫏≰1202011)⪓⨏","cot":[{"info":"⫏≰2202221⋥≓≎⫏≰10001021=⫏≰10100211","layer":3},{"info":"≸⫏≰10100211=⫏≰2011","layer":2},{"info":"⫏≰12122011⪨≂⫏≰20101220=⫏≰-1101201","layer":3},{"info":"⫏≰11120110↢⫏≰1202011=⫏≰10220112","layer":3},{"info":"⫏≰-1101201⫒⫫⫏≰10220112=⫏≰-210012","layer":2},{"info":"⫏≰2011∲⫓⫏≰-210012=⫏≰2011","layer":1},{"info":"⫏≰2011⪓⨏=NaN","layer":0}]}
{"id":894,"expression_no_base_symbol":"((($2266$≫≃)⩉⊫⨁)⊨(↩($4173$⩟)))⫁⪎(($3459$⪢$1850$)⇂≾⫗($5208$⫁$1280$)⫌⩉⩟(≘$2119$)↼⊘⨖($2436$⊝⪿⪼$1427$))","expression":"(((⫏≰10002221≫≃)⩉⊫⨁)⊨(↩(⫏≰12201120⩟)))⫁⪎((⫏≰11202010⪢⫏≰2112112)⇂≾⫗(⫏≰21010220⫁⫏≰1202102)⫌⩉⩟(≘⫏≰2220111)↼⊘⨖(⫏≰10100020⊝⪿⪼⫏≰1221212))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":406122,"operation_count":13,"complexity_ratio":31240.153846153848,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2266,"base":3}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":4173,"base":3}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3459,"base":3},"right_expr":{"type":"numeric_atoms","value":1850,"base":3}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5208,"base":3},"right_expr":{"type":"numeric_atoms","value":1280,"base":3}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2119,"base":3}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2436,"base":3},"right_expr":{"type":"numeric_atoms","value":1427,"base":3}}}}},"used_operators":["xRrnTEsQ6j","vg4gO5BX6G","7qqUquhhSb","X99M06cbEe","jLgFTUHLKL","fOIeswaMU4","XIIwhv8d0m","aBQ6xLxuTc","dWAJyo7jo9","0ajvFaJAv0","bPywburJMS","tcjXMdvYtA","3Oe9XWJUTD"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","7j4O788W3g","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","k8jYdgA6NY","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⫏≰1021001000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2266","layer":4},{"info":"compute unary expreesion, input=2266, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5933","layer":3},{"info":"compute unary expreesion, input=5933, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=5933","layer":2},{"info":"number node, value=4173","layer":4},{"info":"compute unary expreesion, input=4173, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-36330","layer":3},{"info":"compute unary expreesion, input=-36330, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=147940","layer":2},{"info":"compute binary expreesion, left_input=5933, right_input=147940, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=24763","layer":1},{"info":"number node, value=3459","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=3459, right_input=1850, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5208","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=5208, right_input=1280, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=2119","layer":4},{"info":"compute unary expreesion, input=2119, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=4673179","layer":3},{"info":"number node, value=2436","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=1427, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=38658","layer":3},{"info":"compute binary expreesion, left_input=4673179, right_input=38658, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=77094","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=77094, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=24763, right_input=-50, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=24813","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10002221≫≃)⩉⊫⨁)⊨(↩(⫏≰12201120⩟)))⫁⪎((⫏≰11202010⪢⫏≰2112112)⇂≾⫗(⫏≰21010220⫁⫏≰1202102)⫌⩉⩟(≘⫏≰2220111)↼⊘⨖(⫏≰10100020⊝⪿⪼⫏≰1221212))=⫏≰1021001000","reverse_text":"⫏≰1021001000=(((⫏≰10002221≫≃)⩉⊫⨁)⊨(↩(⫏≰12201120⩟)))⫁⪎((⫏≰11202010⪢⫏≰2112112)⇂≾⫗(⫏≰21010220⫁⫏≰1202102)⫌⩉⩟(≘⫏≰2220111)↼⊘⨖(⫏≰10100020⊝⪿⪼⫏≰1221212))","cot":[{"info":"⫏≰10002221≫≃=⫏≰22010202","layer":3},{"info":"⫏≰22010202⩉⊫⨁=⫏≰22010202","layer":2},{"info":"⫏≰12201120⩟=⫏≰-1211211120","layer":3},{"info":"↩⫏≰-1211211120=⫏≰21111221021","layer":2},{"info":"⫏≰22010202⊨⫏≰21111221021=⫏≰1020222011","layer":1},{"info":"⫏≰11202010⪢⫏≰2112112=NaN","layer":3},{"info":"⫏≰21010220⫁⫏≰1202102=⫏≰12221","layer":3},{"info":"NaN⇂≾⫗⫏≰12221=NaN","layer":2},{"info":"≘⫏≰2220111=⫏≰22210102101201","layer":3},{"info":"⫏≰10100020⊝⪿⪼⫏≰1221212=⫏≰1222000210","layer":3},{"info":"⫏≰22210102101201↼⊘⨖⫏≰1222000210=⫏≰10220202100","layer":2},{"info":"NaN⫌⩉⩟⫏≰10220202100=⫏≰-1212","layer":1},{"info":"⫏≰1020222011⫁⪎⫏≰-1212=⫏≰1021001000","layer":0}]}
{"id":895,"expression_no_base_symbol":"(($1675$∠⫱$2036$)⪛(⩪∧⨌$4659$))⪝((⨣⨃⇪$1750$)⨑⩅≇($4253$⨐⩸⫘$6357$))⫌⩹⨱","expression":"((⫏≰2022001∠⫱⫏≰2210102)⪛(⩪∧⨌⫏≰20101120))⪝((⨣⨃⇪⫏≰2101211)⨑⩅≇(⫏≰12211112⨐⩸⫘⫏≰22201110))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":511,"operation_count":8,"complexity_ratio":63.875,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1675,"base":3},"right_expr":{"type":"numeric_atoms","value":2036,"base":3}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4659,"base":3}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1750,"base":3}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4253,"base":3},"right_expr":{"type":"numeric_atoms","value":6357,"base":3}}}}},"used_operators":["EBcxylXtPf","wicAB68Tmb","uFcxV4UQCh","QvoQhV0rrE","6iOiAJX1F8","h92wMvzauj","AcOhelriW5","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1675","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=2036, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=4659","layer":4},{"info":"compute unary expreesion, input=4659, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=46590","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=46590, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1234","layer":2},{"info":"number node, value=1750","layer":4},{"info":"compute unary expreesion, input=1750, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=4253","layer":4},{"info":"number node, value=6357","layer":4},{"info":"compute binary expreesion, left_input=4253, right_input=6357, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1405, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2022001∠⫱⫏≰2210102)⪛(⩪∧⨌⫏≰20101120))⪝((⨣⨃⇪⫏≰2101211)⨑⩅≇(⫏≰12211112⨐⩸⫘⫏≰22201110))⫌⩹⨱=NaN","reverse_text":"NaN=((⫏≰2022001∠⫱⫏≰2210102)⪛(⩪∧⨌⫏≰20101120))⪝((⨣⨃⇪⫏≰2101211)⨑⩅≇(⫏≰12211112⨐⩸⫘⫏≰22201110))⫌⩹⨱","cot":[{"info":"⫏≰2022001∠⫱⫏≰2210102=⫏≰1200201","layer":3},{"info":"⩪∧⨌⫏≰20101120=⫏≰2100220120","layer":3},{"info":"⫏≰1200201⪛⫏≰2100220120=⫏≰1200201","layer":2},{"info":"⨣⨃⇪⫏≰2101211=⫏≰1221001","layer":3},{"info":"⫏≰12211112⨐⩸⫘⫏≰22201110=NaN","layer":3},{"info":"⫏≰1221001⨑⩅≇NaN=NaN","layer":2},{"info":"⫏≰1200201⪝NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"(($4201$↸$3075$)⩷∴($2921$⪕$1850$))⪭(∑⇻≧$1719$↢$4219$)⩷∴((($6044$⋹)⪚⩙≫)⨭⪣($1149$∕⩚$1948$)⨂≜($2159$+⪬∐$5354$))","expression":"((⫏≰12202121↸⫏≰11012220)⩷∴(⫏≰11000012⪕⫏≰2112112))⪭(∑⇻≧⫏≰2100200↢⫏≰12210021)⩷∴(((⫏≰22021212⋹)⪚⩙≫)⨭⪣(⫏≰1120120∕⩚⫏≰2200011)⨂≜(⫏≰2221222+⪬∐⫏≰21100022))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5591,"operation_count":13,"complexity_ratio":430.0769230769231,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4201,"base":3},"right_expr":{"type":"numeric_atoms","value":3075,"base":3}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2921,"base":3},"right_expr":{"type":"numeric_atoms","value":1850,"base":3}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1719,"base":3},"right_expr":{"type":"numeric_atoms","value":4219,"base":3}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":6044,"base":3}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1149,"base":3},"right_expr":{"type":"numeric_atoms","value":1948,"base":3}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2159,"base":3},"right_expr":{"type":"numeric_atoms","value":5354,"base":3}}}}},"used_operators":["9FxExcQeMw","j9kHMeSvPp","1eCjFl0mb9","umQnsF7QlU","l1M9WJ3V7u","WR6HLWljOP","kn8WO9XteQ","4n53wtyJvv","opAxDRczMr","k1SHOSEABc","z9ffQ9n5Zr","2GS7woTJqF"],"dependent_operators":["rysDP5nf3Z","COABgblf1C","xUOZtlo3hN","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","g55IO6H4Gj","D4vGDi5EA2"],"result":"⫏≰10102101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4201","layer":4},{"info":"number node, value=3075","layer":4},{"info":"compute binary expreesion, left_input=4201, right_input=3075, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4201","layer":3},{"info":"number node, value=2921","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=2921, right_input=1850, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4893","layer":3},{"info":"compute binary expreesion, left_input=4201, right_input=4893, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1416","layer":2},{"info":"number node, value=1719","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=4219, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1235","layer":3},{"info":"compute unary expreesion, input=1235, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=-1416, right_input=-852, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=1242","layer":1},{"info":"number node, value=6044","layer":4},{"info":"compute unary expreesion, input=6044, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute unary expreesion, input=-20, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"number node, value=1149","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1948, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1152","layer":3},{"info":"number node, value=2159","layer":4},{"info":"number node, value=5354","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=5354, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6477","layer":3},{"info":"compute binary expreesion, left_input=-1152, right_input=-6477, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=1242, right_input=-21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2494","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12202121↸⫏≰11012220)⩷∴(⫏≰11000012⪕⫏≰2112112))⪭(∑⇻≧⫏≰2100200↢⫏≰12210021)⩷∴(((⫏≰22021212⋹)⪚⩙≫)⨭⪣(⫏≰1120120∕⩚⫏≰2200011)⨂≜(⫏≰2221222+⪬∐⫏≰21100022))=⫏≰10102101","reverse_text":"⫏≰10102101=((⫏≰12202121↸⫏≰11012220)⩷∴(⫏≰11000012⪕⫏≰2112112))⪭(∑⇻≧⫏≰2100200↢⫏≰12210021)⩷∴(((⫏≰22021212⋹)⪚⩙≫)⨭⪣(⫏≰1120120∕⩚⫏≰2200011)⨂≜(⫏≰2221222+⪬∐⫏≰21100022))","cot":[{"info":"⫏≰12202121↸⫏≰11012220=⫏≰12202121","layer":3},{"info":"⫏≰11000012⪕⫏≰2112112=⫏≰20201020","layer":3},{"info":"⫏≰12202121⩷∴⫏≰20201020=⫏≰-1221110","layer":2},{"info":"⫏≰2100200↢⫏≰12210021=⫏≰1200202","layer":3},{"info":"∑⇻≧⫏≰1200202=⫏≰-1011120","layer":2},{"info":"⫏≰-1221110⪭⫏≰-1011120=⫏≰1201000","layer":1},{"info":"⫏≰22021212⋹=⫏≰-202","layer":3},{"info":"⫏≰-202⪚⩙≫=NaN","layer":2},{"info":"⫏≰1120120∕⩚⫏≰2200011=⫏≰-1120200","layer":3},{"info":"⫏≰2221222+⪬∐⫏≰21100022=⫏≰-22212220","layer":3},{"info":"⫏≰-1120200⨂≜⫏≰-22212220=NaN","layer":2},{"info":"NaN⨭⪣NaN=⫏≰-210","layer":1},{"info":"⫏≰1201000⩷∴⫏≰-210=⫏≰10102101","layer":0}]}
{"id":897,"expression_no_base_symbol":"(∑⇻≧$4089$⫘$3026$⨚⇆($1933$↦))⋅⇍((⊢≑≆($1845$⩉⊫⨁))⇟⨁⪰)","expression":"(∑⇻≧⫏≰12121110⫘⫏≰11011002⨚⇆(⫏≰2122121↦))⋅⇍((⊢≑≆(⫏≰2112100⩉⊫⨁))⇟⨁⪰)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":232691,"operation_count":8,"complexity_ratio":29086.375,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4089,"base":3},"right_expr":{"type":"numeric_atoms","value":3026,"base":3}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1933,"base":3}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1845,"base":3}}}}},"used_operators":["AdZkA7nFnk","l1M9WJ3V7u","lwHaAYXP2r","48vC8HMD2b","fFznvYxMfW","BX1lVwlMe0","27wFxooxGf","7qqUquhhSb"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","2DDjHMKMc0","xUOZtlo3hN","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","7j4O788W3g"],"result":"⫏≰101100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4089","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=4089, right_input=3026, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4813069","layer":3},{"info":"number node, value=1933","layer":4},{"info":"compute unary expreesion, input=1933, 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":3},{"info":"compute binary expreesion, left_input=4813069, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=1845","layer":4},{"info":"compute unary expreesion, input=1845, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1845","layer":3},{"info":"compute unary expreesion, input=1845, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=7832","layer":2},{"info":"compute unary expreesion, input=7832, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-8006","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=-8006, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=279","layer":0}],"base":3,"result_base":3,"text":"(∑⇻≧⫏≰12121110⫘⫏≰11011002⨚⇆(⫏≰2122121↦))⋅⇍((⊢≑≆(⫏≰2112100⩉⊫⨁))⇟⨁⪰)=⫏≰101100","reverse_text":"⫏≰101100=(∑⇻≧⫏≰12121110⫘⫏≰11011002⨚⇆(⫏≰2122121↦))⋅⇍((⊢≑≆(⫏≰2112100⩉⊫⨁))⇟⨁⪰)","cot":[{"info":"⫏≰12121110⫘⫏≰11011002=⫏≰100001112021211","layer":3},{"info":"⫏≰2122121↦=NaN","layer":3},{"info":"⫏≰100001112021211⨚⇆NaN=-Inf","layer":2},{"info":"∑⇻≧-Inf=⫏≰-1011120","layer":1},{"info":"⫏≰2112100⩉⊫⨁=⫏≰2112100","layer":3},{"info":"⊢≑≆⫏≰2112100=⫏≰101202002","layer":2},{"info":"⫏≰101202002⇟⨁⪰=⫏≰-101222112","layer":1},{"info":"⫏≰-1011120⋅⇍⫏≰-101222112=⫏≰101100","layer":0}]}
{"id":898,"expression_no_base_symbol":"((($1036$⨰$4126$)⨪↰⇹($4298$⨸⪁$1520$))⋩≍≻)⊨($1616$⇡⇂$3318$⊋($2080$⊍⩺⋍$1571$)⨳⩥⨓(⪁⇼$5429$)⩧⪆$1137$∋$1509$)","expression":"(((⫏≰1102101⨰⫏≰12122211)⨪↰⇹(⫏≰12220012⨸⪁⫏≰2002022))⋩≍≻)⊨(⫏≰2012212⇡⇂⫏≰11112220⊋(⫏≰2212001⊍⩺⋍⫏≰2011012)⨳⩥⨓(⪁⇼⫏≰21110002)⩧⪆⫏≰1120010∋⫏≰2001220)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23113,"operation_count":12,"complexity_ratio":1926.0833333333333,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1036,"base":3},"right_expr":{"type":"numeric_atoms","value":4126,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4298,"base":3},"right_expr":{"type":"numeric_atoms","value":1520,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1616,"base":3},"right_expr":{"type":"numeric_atoms","value":3318,"base":3}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2080,"base":3},"right_expr":{"type":"numeric_atoms","value":1571,"base":3}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":5429,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1137,"base":3},"right_expr":{"type":"numeric_atoms","value":1509,"base":3}}}}},"used_operators":["vg4gO5BX6G","WYd1w68Nbz","tmPS8pqC7x","eewbuw0ToL","g55IO6H4Gj","nCS4ZIUYfx","W4tP9CfskL","UMwdvZNt44","OXDGMFPWZM","Ikt5ks8PT7","ZNVVrZ94lY","ukq6epAj5P"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eewbuw0ToL","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=4126, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3080","layer":3},{"info":"number node, value=4298","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=4298, right_input=1520, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11636","layer":3},{"info":"compute binary expreesion, left_input=-3080, right_input=11636, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-3080","layer":2},{"info":"compute unary expreesion, input=-3080, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-11817","layer":1},{"info":"number node, value=1616","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=3318, 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":3},{"info":"number node, value=2080","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=1571, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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=nan","layer":2},{"info":"number node, value=5429","layer":4},{"info":"compute unary expreesion, input=5429, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1509, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3132100","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=3132100, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3132100","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3132100, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-11817, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1102101⨰⫏≰12122211)⨪↰⇹(⫏≰12220012⨸⪁⫏≰2002022))⋩≍≻)⊨(⫏≰2012212⇡⇂⫏≰11112220⊋(⫏≰2212001⊍⩺⋍⫏≰2011012)⨳⩥⨓(⪁⇼⫏≰21110002)⩧⪆⫏≰1120010∋⫏≰2001220)=NaN","reverse_text":"NaN=(((⫏≰1102101⨰⫏≰12122211)⨪↰⇹(⫏≰12220012⨸⪁⫏≰2002022))⋩≍≻)⊨(⫏≰2012212⇡⇂⫏≰11112220⊋(⫏≰2212001⊍⩺⋍⫏≰2011012)⨳⩥⨓(⪁⇼⫏≰21110002)⩧⪆⫏≰1120010∋⫏≰2001220)","cot":[{"info":"⫏≰1102101⨰⫏≰12122211=⫏≰-11020002","layer":3},{"info":"⫏≰12220012⨸⪁⫏≰2002022=⫏≰120221222","layer":3},{"info":"⫏≰-11020002⨪↰⇹⫏≰120221222=⫏≰-11020002","layer":2},{"info":"⫏≰-11020002⋩≍≻=⫏≰-121012200","layer":1},{"info":"⫏≰2012212⇡⇂⫏≰11112220=NaN","layer":3},{"info":"⫏≰2212001⊍⩺⋍⫏≰2011012=NaN","layer":3},{"info":"NaN⊋NaN=NaN","layer":2},{"info":"⪁⇼⫏≰21110002=⫏≰120122","layer":3},{"info":"⫏≰1120010∋⫏≰2001220=⫏≰12220010102201","layer":3},{"info":"⫏≰120122⩧⪆⫏≰12220010102201=⫏≰-12220010102201","layer":2},{"info":"NaN⨳⩥⨓⫏≰-12220010102201=NaN","layer":1},{"info":"⫏≰-121012200⊨NaN=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"($3112$↓$3459$≠≀(⊖$1452$))↤⩊(⊑$7062$⫁⪎$4484$)⇮⋭($1820$↳≱$2012$⫦⪉($3109$⇼⇔∾$1714$))⪇≇⋚($5802$⪭$1354$⨭⪣$5294$⋾⨃∁$4859$)","expression":"(⫏≰11021021↓⫏≰11202010≠≀(⊖⫏≰1222210))↤⩊(⊑⫏≰100200120⫁⪎⫏≰20011002)⇮⋭(⫏≰2111102↳≱⫏≰2202112⫦⪉(⫏≰11021011⇼⇔∾⫏≰2100111))⪇≇⋚(⫏≰21221220⪭⫏≰1212011⨭⪣⫏≰21021002⋾⨃∁⫏≰20122222)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":54431,"operation_count":14,"complexity_ratio":3887.9285714285716,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3112,"base":3},"right_expr":{"type":"numeric_atoms","value":3459,"base":3}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1452,"base":3}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":7062,"base":3},"right_expr":{"type":"numeric_atoms","value":4484,"base":3}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1820,"base":3},"right_expr":{"type":"numeric_atoms","value":2012,"base":3}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3109,"base":3},"right_expr":{"type":"numeric_atoms","value":1714,"base":3}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5802,"base":3},"right_expr":{"type":"numeric_atoms","value":1354,"base":3}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5294,"base":3},"right_expr":{"type":"numeric_atoms","value":4859,"base":3}}}}},"used_operators":["vkpjKywKVM","13rbtpv6ld","IwW236VD4Y","Af076pWI7l","U6pG0PXrV3","IkUmn0D7oy","xRrnTEsQ6j","3sJ7IOPOlU","wscyQdcy20","JwTKLfZU96","tifHPKVTfV","kn8WO9XteQ","j9kHMeSvPp","212REbPD9h"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","COABgblf1C","xUOZtlo3hN","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⫏≰-122112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3112","layer":4},{"info":"number node, value=3459","layer":4},{"info":"compute binary expreesion, left_input=3112, right_input=3459, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=13","layer":2},{"info":"number node, value=7062","layer":4},{"info":"number node, value=4484","layer":4},{"info":"compute binary expreesion, left_input=7062, right_input=4484, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2578","layer":3},{"info":"compute unary expreesion, input=2578, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=13, right_input=192, 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=1820","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=2012, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3109","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=3109, right_input=1714, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1395","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1395, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":2},{"info":"number node, value=5802","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=5802, right_input=1354, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=5294","layer":4},{"info":"number node, value=4859","layer":4},{"info":"compute binary expreesion, left_input=5294, right_input=4859, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=236040408","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=236040408, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-327","layer":2},{"info":"compute binary expreesion, left_input=4900, right_input=-327, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11021021↓⫏≰11202010≠≀(⊖⫏≰1222210))↤⩊(⊑⫏≰100200120⫁⪎⫏≰20011002)⇮⋭(⫏≰2111102↳≱⫏≰2202112⫦⪉(⫏≰11021011⇼⇔∾⫏≰2100111))⪇≇⋚(⫏≰21221220⪭⫏≰1212011⨭⪣⫏≰21021002⋾⨃∁⫏≰20122222)=⫏≰-122112","reverse_text":"⫏≰-122112=(⫏≰11021021↓⫏≰11202010≠≀(⊖⫏≰1222210))↤⩊(⊑⫏≰100200120⫁⪎⫏≰20011002)⇮⋭(⫏≰2111102↳≱⫏≰2202112⫦⪉(⫏≰11021011⇼⇔∾⫏≰2100111))⪇≇⋚(⫏≰21221220⪭⫏≰1212011⨭⪣⫏≰21021002⋾⨃∁⫏≰20122222)","cot":[{"info":"⫏≰11021021↓⫏≰11202010=⫏≰-11222","layer":3},{"info":"⊖⫏≰1222210=⫏≰0","layer":3},{"info":"⫏≰-11222≠≀⫏≰0=⫏≰111","layer":2},{"info":"⫏≰100200120⫁⪎⫏≰20011002=⫏≰10112111","layer":3},{"info":"⊑⫏≰10112111=⫏≰21010","layer":2},{"info":"⫏≰111↤⩊⫏≰21010=NaN","layer":1},{"info":"⫏≰2111102↳≱⫏≰2202112=⫏≰0","layer":3},{"info":"⫏≰11021011⇼⇔∾⫏≰2100111=⫏≰-1220200","layer":3},{"info":"⫏≰0⫦⪉⫏≰-1220200=⫏≰20201111","layer":2},{"info":"⫏≰21221220⪭⫏≰1212011=⫏≰12","layer":3},{"info":"⫏≰21021002⋾⨃∁⫏≰20122222=⫏≰121110011002120100","layer":3},{"info":"⫏≰12⨭⪣⫏≰121110011002120100=⫏≰-110010","layer":2},{"info":"⫏≰20201111⪇≇⋚⫏≰-110010=⫏≰0","layer":1},{"info":"NaN⇮⋭⫏≰0=⫏≰-122112","layer":0}]}
{"id":900,"expression_no_base_symbol":"((($2102$∠↢$1886$)⫠)⋛(($2276$⪒$4775$)⇞))≴⪞⇿(($2094$⨽$1650$)≎⪠($2467$⊝⪿⪼$3723$)∙∹∝($1825$∠⫱$7936$)⫉⨲⊜($3703$⪚$4228$))","expression":"(((⫏≰2212212∠↢⫏≰2120212)⫠)⋛((⫏≰10010022⪒⫏≰20112212)⇞))≴⪞⇿((⫏≰2212120⨽⫏≰2021010)≎⪠(⫏≰10101101⊝⪿⪼⫏≰12002220)∙∹∝(⫏≰2111121∠⫱⫏≰101212221)⫉⨲⊜(⫏≰12002011⪚⫏≰12210121))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":493858,"operation_count":13,"complexity_ratio":37989.07692307692,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2102,"base":3},"right_expr":{"type":"numeric_atoms","value":1886,"base":3}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2276,"base":3},"right_expr":{"type":"numeric_atoms","value":4775,"base":3}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2094,"base":3},"right_expr":{"type":"numeric_atoms","value":1650,"base":3}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2467,"base":3},"right_expr":{"type":"numeric_atoms","value":3723,"base":3}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1825,"base":3},"right_expr":{"type":"numeric_atoms","value":7936,"base":3}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3703,"base":3},"right_expr":{"type":"numeric_atoms","value":4228,"base":3}}}}},"used_operators":["lvlrscuwVU","YbUVn0Rbpy","6SnOT2rOjz","KbjG8mgYpV","5JYyxRJd4f","f6k1SAg4EE","HmxsFra2vL","aNhz54LH3e","8HhzD0ZcuI","3Oe9XWJUTD","WhqkvtTD3t","QvoQhV0rrE","HrjLwUk87U"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"⫏≰-2211120021120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2102","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=1886, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-33730","layer":3},{"info":"compute unary expreesion, input=-33730, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=2276","layer":4},{"info":"number node, value=4775","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=4775, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7051","layer":3},{"info":"compute unary expreesion, input=-7051, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-537, 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=-124197","layer":1},{"info":"number node, value=2094","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=1650, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13158144","layer":3},{"info":"number node, value=2467","layer":4},{"info":"number node, value=3723","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=3723, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=46937","layer":3},{"info":"compute binary expreesion, left_input=-13158144, right_input=46937, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=1825","layer":4},{"info":"number node, value=7936","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=7936, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3703","layer":4},{"info":"number node, value=4228","layer":4},{"info":"compute binary expreesion, left_input=3703, right_input=4228, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1406","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-1406, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-1516","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-1516, 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=-124197, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-1507047","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰2212212∠↢⫏≰2120212)⫠)⋛((⫏≰10010022⪒⫏≰20112212)⇞))≴⪞⇿((⫏≰2212120⨽⫏≰2021010)≎⪠(⫏≰10101101⊝⪿⪼⫏≰12002220)∙∹∝(⫏≰2111121∠⫱⫏≰101212221)⫉⨲⊜(⫏≰12002011⪚⫏≰12210121))=⫏≰-2211120021120","reverse_text":"⫏≰-2211120021120=(((⫏≰2212212∠↢⫏≰2120212)⫠)⋛((⫏≰10010022⪒⫏≰20112212)⇞))≴⪞⇿((⫏≰2212120⨽⫏≰2021010)≎⪠(⫏≰10101101⊝⪿⪼⫏≰12002220)∙∹∝(⫏≰2111121∠⫱⫏≰101212221)⫉⨲⊜(⫏≰12002011⪚⫏≰12210121))","cot":[{"info":"⫏≰2212212∠↢⫏≰2120212=⫏≰-1201021021","layer":3},{"info":"⫏≰-1201021021⫠=⫏≰0","layer":2},{"info":"⫏≰10010022⪒⫏≰20112212=⫏≰-100200011","layer":3},{"info":"⫏≰-100200011⇞=⫏≰-201220","layer":2},{"info":"⫏≰0⋛⫏≰-201220=⫏≰-20022100220","layer":1},{"info":"⫏≰2212120⨽⫏≰2021010=⫏≰-220202111120200","layer":3},{"info":"⫏≰10101101⊝⪿⪼⫏≰12002220=⫏≰2101101102","layer":3},{"info":"⫏≰-220202111120200≎⪠⫏≰2101101102=⫏≰222211101","layer":2},{"info":"⫏≰2111121∠⫱⫏≰101212221=⫏≰1200201","layer":3},{"info":"⫏≰12002011⪚⫏≰12210121=⫏≰-1221002","layer":3},{"info":"⫏≰1200201⫉⨲⊜⫏≰-1221002=⫏≰-2002011","layer":2},{"info":"⫏≰222211101∙∹∝⫏≰-2002011=⫏≰0","layer":1},{"info":"⫏≰-20022100220≴⪞⇿⫏≰0=⫏≰-2211120021120","layer":0}]}
{"id":901,"expression_no_base_symbol":"(⩰(⪫⨮⊛$1649$)≁($5936$∌$1907$))∌↝(($7893$⊴$1026$)⩌⋺$1417$⨿$7608$⫳≱↱$1149$⫗⊷⫓$5709$⨽∌(↯⪼$2510$))","expression":"(⩰(⪫⨮⊛⫏≰2021002)≁(⫏≰22010212∌⫏≰2121122))∌↝((⫏≰101211100⊴⫏≰1102000)⩌⋺⫏≰1221111⨿⫏≰101102210⫳≱↱⫏≰1120120⫗⊷⫓⫏≰21211110⨽∌(↯⪼⫏≰10102222))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":991755,"operation_count":12,"complexity_ratio":82646.25,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1649,"base":3}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5936,"base":3},"right_expr":{"type":"numeric_atoms","value":1907,"base":3}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7893,"base":3},"right_expr":{"type":"numeric_atoms","value":1026,"base":3}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1417,"base":3},"right_expr":{"type":"numeric_atoms","value":7608,"base":3}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1149,"base":3},"right_expr":{"type":"numeric_atoms","value":5709,"base":3}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2510,"base":3}}}}},"used_operators":["9Isq31Ruls","WkeUrDK8WX","8N2wDY1A35","w5FWba1tyO","8cLx32lpNA","ZvLB05nZmT","g7Hmc5v1ko","Nsiff2A1zJ","abYXlopdE0","9samAPKr6k","zashukvMKz","8jW3W4yZS5"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=5936","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=5936, right_input=1907, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1907","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1907, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":1},{"info":"number node, value=7893","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=7893, right_input=1026, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=7608","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=7608, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-319, 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=nan","layer":2},{"info":"number node, value=1149","layer":4},{"info":"number node, value=5709","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=5709, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2510","layer":4},{"info":"compute unary expreesion, input=2510, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-21, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-471, 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":3,"result_base":3,"text":"(⩰(⪫⨮⊛⫏≰2021002)≁(⫏≰22010212∌⫏≰2121122))∌↝((⫏≰101211100⊴⫏≰1102000)⩌⋺⫏≰1221111⨿⫏≰101102210⫳≱↱⫏≰1120120⫗⊷⫓⫏≰21211110⨽∌(↯⪼⫏≰10102222))=NaN","reverse_text":"NaN=(⩰(⪫⨮⊛⫏≰2021002)≁(⫏≰22010212∌⫏≰2121122))∌↝((⫏≰101211100⊴⫏≰1102000)⩌⋺⫏≰1221111⨿⫏≰101102210⫳≱↱⫏≰1120120⫗⊷⫓⫏≰21211110⨽∌(↯⪼⫏≰10102222))","cot":[{"info":"⪫⨮⊛⫏≰2021002=NaN","layer":3},{"info":"⫏≰22010212∌⫏≰2121122=⫏≰-2121122","layer":3},{"info":"NaN≁⫏≰-2121122=NaN","layer":2},{"info":"⩰NaN=NaN","layer":1},{"info":"⫏≰101211100⊴⫏≰1102000=NaN","layer":3},{"info":"⫏≰1221111⨿⫏≰101102210=⫏≰-102211","layer":3},{"info":"NaN⩌⋺⫏≰-102211=NaN","layer":2},{"info":"⫏≰1120120⫗⊷⫓⫏≰21211110=⫏≰-11222","layer":3},{"info":"↯⪼⫏≰10102222=⫏≰-210","layer":3},{"info":"⫏≰-11222⨽∌⫏≰-210=⫏≰0","layer":2},{"info":"NaN⫳≱↱⫏≰0=⫏≰-122110","layer":1},{"info":"NaN∌↝⫏≰-122110=NaN","layer":0}]}
{"id":902,"expression_no_base_symbol":"((⊥($1516$⊨$4811$))⫔⩽⩺((⪹$1573$)≬⋮(≋$3716$)))≴⪞⇿($1627$⊮⊟↴$7740$→⨶⪴$2090$≎⪠$1925$↡⊰⫅(≋$2117$)⫸⇳(↘$9353$))","expression":"((⊥(⫏≰2002011⊨⫏≰20121012))⫔⩽⩺((⪹⫏≰2011021)≬⋮(≋⫏≰12002122)))≴⪞⇿(⫏≰2020021⊮⊟↴⫏≰101121200→⨶⪴⫏≰2212102≎⪠⫏≰2122022↡⊰⫅(≋⫏≰2220102)⫸⇳(↘⫏≰110211102))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":782280,"operation_count":14,"complexity_ratio":55877.142857142855,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1516,"base":3},"right_expr":{"type":"numeric_atoms","value":4811,"base":3}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1573,"base":3}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3716,"base":3}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1627,"base":3},"right_expr":{"type":"numeric_atoms","value":7740,"base":3}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2090,"base":3},"right_expr":{"type":"numeric_atoms","value":1925,"base":3}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2117,"base":3}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":9353,"base":3}}}}},"used_operators":["lvlrscuwVU","i9eR4S00cU","Q3PJZHRvZv","vg4gO5BX6G","kbkesczE7y","USyYr0JgAa","61wBmkZwlr","VCtxkLNOzz","bF6eod5Gvf","QDVgd2eftb","aNhz54LH3e","gx7XJ7hdpj","LdNpr8hQHL"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Tw270M8GLb","fu6greOZ01","fu6greOZ01","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","tifHPKVTfV","7j4O788W3g","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8w2t5hMYqp","9FxExcQeMw","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1516","layer":4},{"info":"number node, value=4811","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=4811, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=7095","layer":3},{"info":"compute unary expreesion, input=7095, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1573","layer":4},{"info":"compute unary expreesion, input=1573, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1393","layer":3},{"info":"number node, value=3716","layer":4},{"info":"compute unary expreesion, input=3716, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3716","layer":3},{"info":"compute binary expreesion, left_input=-1393, right_input=3716, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1627","layer":4},{"info":"number node, value=7740","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=7740, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2090","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=1925, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=19558, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-58674","layer":2},{"info":"number node, value=2117","layer":4},{"info":"compute unary expreesion, input=2117, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2117","layer":3},{"info":"number node, value=9353","layer":4},{"info":"compute unary expreesion, input=9353, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=337","layer":3},{"info":"compute binary expreesion, left_input=2117, right_input=337, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-58674, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⊥(⫏≰2002011⊨⫏≰20121012))⫔⩽⩺((⪹⫏≰2011021)≬⋮(≋⫏≰12002122)))≴⪞⇿(⫏≰2020021⊮⊟↴⫏≰101121200→⨶⪴⫏≰2212102≎⪠⫏≰2122022↡⊰⫅(≋⫏≰2220102)⫸⇳(↘⫏≰110211102))=NaN","reverse_text":"NaN=((⊥(⫏≰2002011⊨⫏≰20121012))⫔⩽⩺((⪹⫏≰2011021)≬⋮(≋⫏≰12002122)))≴⪞⇿(⫏≰2020021⊮⊟↴⫏≰101121200→⨶⪴⫏≰2212102≎⪠⫏≰2122022↡⊰⫅(≋⫏≰2220102)⫸⇳(↘⫏≰110211102))","cot":[{"info":"⫏≰2002011⊨⫏≰20121012=⫏≰100201210","layer":3},{"info":"⊥⫏≰100201210=NaN","layer":2},{"info":"⪹⫏≰2011021=⫏≰-1220121","layer":3},{"info":"≋⫏≰12002122=⫏≰12002122","layer":3},{"info":"⫏≰-1220121≬⋮⫏≰12002122=⫏≰1012011","layer":2},{"info":"NaN⫔⩽⩺⫏≰1012011=NaN","layer":1},{"info":"⫏≰2020021⊮⊟↴⫏≰101121200=⫏≰0","layer":3},{"info":"⫏≰2212102≎⪠⫏≰2122022=⫏≰222211101","layer":3},{"info":"⫏≰0→⨶⪴⫏≰222211101=⫏≰-2222111010","layer":2},{"info":"≋⫏≰2220102=⫏≰2220102","layer":3},{"info":"↘⫏≰110211102=⫏≰110111","layer":3},{"info":"⫏≰2220102⫸⇳⫏≰110111=⫏≰0","layer":2},{"info":"⫏≰-2222111010↡⊰⫅⫏≰0=⫏≰0","layer":1},{"info":"NaN≴⪞⇿⫏≰0=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"($6937$↳≱$2153$∝$2857$∇⊂⋱$1287$)⫉⨲⊜($3104$⩦$1101$⊵↤)⇴∐(($5376$⇼⇔∾$4281$)∑⇟⊟($4569$⋥≓≎$6070$))⩼⇪↪(⊙↵-($2781$⊘))","expression":"(⫏≰100111221↳≱⫏≰2221202∝⫏≰10220211∇⊂⋱⫏≰1202200)⫉⨲⊜(⫏≰11020222⩦⫏≰1111210⊵↤)⇴∐((⫏≰21101010⇼⇔∾⫏≰12212120)∑⇟⊟(⫏≰20021020⋥≓≎⫏≰22022211))⩼⇪↪(⊙↵-(⫏≰10211000⊘))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":252,"operation_count":13,"complexity_ratio":19.384615384615383,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6937,"base":3},"right_expr":{"type":"numeric_atoms","value":2153,"base":3}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2857,"base":3},"right_expr":{"type":"numeric_atoms","value":1287,"base":3}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3104,"base":3},"right_expr":{"type":"numeric_atoms","value":1101,"base":3}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5376,"base":3},"right_expr":{"type":"numeric_atoms","value":4281,"base":3}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4569,"base":3},"right_expr":{"type":"numeric_atoms","value":6070,"base":3}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2781,"base":3}}}}},"used_operators":["HnzytWxmAO","WhqkvtTD3t","cTDWOvIxvz","JwTKLfZU96","nhYeJWJD5X","7IPrd9c3lf","0kmYd0q39Y","ocnLzx9CaJ","U7g4x0WXJJ","tifHPKVTfV","Qy55tPpLXF","oWn0xqSxBt","gu96TGCTMs"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","eewbuw0ToL","zVYPLywUTj","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫏≰-11022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6937","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=6937, right_input=2153, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2857","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=1287, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5168","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5168, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5","layer":2},{"info":"number node, value=3104","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=3104, right_input=1101, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6208","layer":3},{"info":"compute unary expreesion, input=6208, 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":2},{"info":"compute binary expreesion, left_input=5, right_input=67, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=5376","layer":4},{"info":"number node, value=4281","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=4281, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1095","layer":3},{"info":"number node, value=4569","layer":4},{"info":"number node, value=6070","layer":4},{"info":"compute binary expreesion, left_input=4569, right_input=6070, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7604","layer":3},{"info":"compute binary expreesion, left_input=-1095, right_input=7604, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2781","layer":4},{"info":"compute unary expreesion, input=2781, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100111221↳≱⫏≰2221202∝⫏≰10220211∇⊂⋱⫏≰1202200)⫉⨲⊜(⫏≰11020222⩦⫏≰1111210⊵↤)⇴∐((⫏≰21101010⇼⇔∾⫏≰12212120)∑⇟⊟(⫏≰20021020⋥≓≎⫏≰22022211))⩼⇪↪(⊙↵-(⫏≰10211000⊘))=⫏≰-11022","reverse_text":"⫏≰-11022=(⫏≰100111221↳≱⫏≰2221202∝⫏≰10220211∇⊂⋱⫏≰1202200)⫉⨲⊜(⫏≰11020222⩦⫏≰1111210⊵↤)⇴∐((⫏≰21101010⇼⇔∾⫏≰12212120)∑⇟⊟(⫏≰20021020⋥≓≎⫏≰22022211))⩼⇪↪(⊙↵-(⫏≰10211000⊘))","cot":[{"info":"⫏≰100111221↳≱⫏≰2221202=⫏≰0","layer":3},{"info":"⫏≰10220211∇⊂⋱⫏≰1202200=⫏≰21002102","layer":3},{"info":"⫏≰0∝⫏≰21002102=⫏≰12","layer":2},{"info":"⫏≰11020222⩦⫏≰1111210=⫏≰22111221","layer":3},{"info":"⫏≰22111221⊵↤=⫏≰2111","layer":2},{"info":"⫏≰12⫉⨲⊜⫏≰2111=⫏≰0","layer":1},{"info":"⫏≰21101010⇼⇔∾⫏≰12212120=⫏≰-1111120","layer":3},{"info":"⫏≰20021020⋥≓≎⫏≰22022211=⫏≰101102122","layer":3},{"info":"⫏≰-1111120∑⇟⊟⫏≰101102122=NaN","layer":2},{"info":"⫏≰10211000⊘=⫏≰0","layer":3},{"info":"⊙↵-⫏≰0=⫏≰0","layer":2},{"info":"NaN⩼⇪↪⫏≰0=NaN","layer":1},{"info":"⫏≰0⇴∐NaN=⫏≰-11022","layer":0}]}
{"id":904,"expression_no_base_symbol":"(($7245$∩⋅)⫢⨠$2913$⨸$5864$*(⫇($3537$⊢)))⇣⩺⋵($1352$⪶≀⋏$2755$≒∊($1387$⫩)⨔≚≋($1087$⨵⪆$1014$)↳∿⪆($2727$⊋≦⊧$1237$))","expression":"((⫏≰100221100∩⋅)⫢⨠⫏≰10222220⨸⫏≰22001012*(⫇(⫏≰11212000⊢)))⇣⩺⋵(⫏≰1212002⪶≀⋏⫏≰10210001≒∊(⫏≰1220101⫩)⨔≚≋(⫏≰1111021⨵⪆⫏≰1101120)↳∿⪆(⫏≰10202000⊋≦⊧⫏≰1200211))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9878,"operation_count":14,"complexity_ratio":705.5714285714286,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":7245,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2913,"base":3},"right_expr":{"type":"numeric_atoms","value":5864,"base":3}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3537,"base":3}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1352,"base":3},"right_expr":{"type":"numeric_atoms","value":2755,"base":3}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1387,"base":3}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1087,"base":3},"right_expr":{"type":"numeric_atoms","value":1014,"base":3}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2727,"base":3},"right_expr":{"type":"numeric_atoms","value":1237,"base":3}}}}},"used_operators":["F4yD0voBRQ","9HNa5Wba9A","xlXykHWxX1","2MzE1hQ0cz","KmoU8R5UQR","YjI8oCXuph","40aOVDgCDB","Z57zeUYC9z","5KTvxBwnZo","zR4jO40bMj","6aG7x05OhS","Cw4SuJJGHO","2DQ55sFlQl","oRDoc9rAEX"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Qy55tPpLXF","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","NTOWxs364D","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","dWAJyo7jo9","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⫏≰-100122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7245","layer":4},{"info":"compute unary expreesion, input=7245, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-7124","layer":3},{"info":"number node, value=2913","layer":4},{"info":"number node, value=5864","layer":4},{"info":"compute binary expreesion, left_input=2913, right_input=5864, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5826","layer":3},{"info":"compute binary expreesion, left_input=-7124, right_input=5826, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=9114","layer":2},{"info":"number node, value=3537","layer":4},{"info":"compute unary expreesion, input=3537, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3784","layer":3},{"info":"compute unary expreesion, input=-3784, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2838","layer":2},{"info":"compute binary expreesion, left_input=9114, right_input=-2838, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-25865532","layer":1},{"info":"number node, value=1352","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=2755, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-9798","layer":3},{"info":"number node, value=1387","layer":4},{"info":"compute unary expreesion, input=1387, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9798, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"number node, value=1087","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=1014, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2727","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=1237, 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=-2234","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2234, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-25865532, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":3,"result_base":3,"text":"((⫏≰100221100∩⋅)⫢⨠⫏≰10222220⨸⫏≰22001012*(⫇(⫏≰11212000⊢)))⇣⩺⋵(⫏≰1212002⪶≀⋏⫏≰10210001≒∊(⫏≰1220101⫩)⨔≚≋(⫏≰1111021⨵⪆⫏≰1101120)↳∿⪆(⫏≰10202000⊋≦⊧⫏≰1200211))=⫏≰-100122","reverse_text":"⫏≰-100122=((⫏≰100221100∩⋅)⫢⨠⫏≰10222220⨸⫏≰22001012*(⫇(⫏≰11212000⊢)))⇣⩺⋵(⫏≰1212002⪶≀⋏⫏≰10210001≒∊(⫏≰1220101⫩)⨔≚≋(⫏≰1111021⨵⪆⫏≰1101120)↳∿⪆(⫏≰10202000⊋≦⊧⫏≰1200211))","cot":[{"info":"⫏≰100221100∩⋅=⫏≰-100202212","layer":3},{"info":"⫏≰10222220⨸⫏≰22001012=⫏≰21222210","layer":3},{"info":"⫏≰-100202212⫢⨠⫏≰21222210=⫏≰110111120","layer":2},{"info":"⫏≰11212000⊢=⫏≰-12012011","layer":3},{"info":"⫇⫏≰-12012011=⫏≰-10220010","layer":2},{"info":"⫏≰110111120*⫏≰-10220010=⫏≰-1210200002211200","layer":1},{"info":"⫏≰1212002⪶≀⋏⫏≰10210001=⫏≰-111102220","layer":3},{"info":"⫏≰1220101⫩=NaN","layer":3},{"info":"⫏≰-111102220≒∊NaN=NaN","layer":2},{"info":"⫏≰1111021⨵⪆⫏≰1101120=⫏≰12221","layer":3},{"info":"⫏≰10202000⊋≦⊧⫏≰1200211=⫏≰-10001202","layer":3},{"info":"⫏≰12221↳∿⪆⫏≰-10001202=NaN","layer":2},{"info":"NaN⨔≚≋NaN=NaN","layer":1},{"info":"⫏≰-1210200002211200⇣⩺⋵NaN=⫏≰-100122","layer":0}]}
{"id":905,"expression_no_base_symbol":"≉(↨$7464$⇴$1922$⨐⩸⫘$2276$≴⪞⇿$2882$)","expression":"≉(↨⫏≰101020110⇴⫏≰2122012⨐⩸⫘⫏≰10010022≴⪞⇿⫏≰10221202)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2200,"operation_count":5,"complexity_ratio":440.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":7464,"base":3},"right_expr":{"type":"numeric_atoms","value":1922,"base":3}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2276,"base":3},"right_expr":{"type":"numeric_atoms","value":2882,"base":3}}}}},"used_operators":["e1ybzncUwg","jiX4gk2v2Q","fu6greOZ01","4JB6nKBMSY","lvlrscuwVU"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","oZj3VtZNQx","3ViojmjbAp","sdazOOVcIp","NTOWxs364D","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7464","layer":4},{"info":"number node, value=1922","layer":4},{"info":"compute binary expreesion, left_input=7464, right_input=1922, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=48242","layer":3},{"info":"number node, value=2276","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=2882, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=8024252","layer":3},{"info":"compute binary expreesion, left_input=48242, right_input=8024252, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≉(↨⫏≰101020110⇴⫏≰2122012⨐⩸⫘⫏≰10010022≴⪞⇿⫏≰10221202)=NaN","reverse_text":"NaN=≉(↨⫏≰101020110⇴⫏≰2122012⨐⩸⫘⫏≰10010022≴⪞⇿⫏≰10221202)","cot":[{"info":"⫏≰101020110⇴⫏≰2122012=⫏≰2110011202","layer":3},{"info":"⫏≰10010022≴⪞⇿⫏≰10221202=⫏≰120002200012112","layer":3},{"info":"⫏≰2110011202⨐⩸⫘⫏≰120002200012112=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"($3519$⨿$4460$∙⊟$9259$⪡$3450$)⨚⇆(⊵⊁$1408$)↼⊘⨖(⨩∲⋌$1525$)⋾⨃∁($2092$⪡$2593$⨎(⩒∊$3034$)⪛⫼($7172$↓$2246$⪒($8217$⇉⇱⇎)))","expression":"(⫏≰11211100⨿⫏≰20010012∙⊟⫏≰110200221⪡⫏≰11201210)⨚⇆(⊵⊁⫏≰1221011)↼⊘⨖(⨩∲⋌⫏≰2002111)⋾⨃∁(⫏≰2212111⪡⫏≰10120001⨎(⩒∊⫏≰11011101)⪛⫼(⫏≰100211122↓⫏≰10002012⪒(⫏≰102021100⇉⇱⇎)))","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":175649,"operation_count":15,"complexity_ratio":11709.933333333332,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3519,"base":3},"right_expr":{"type":"numeric_atoms","value":4460,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":9259,"base":3},"right_expr":{"type":"numeric_atoms","value":3450,"base":3}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1408,"base":3}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1525,"base":3}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2092,"base":3},"right_expr":{"type":"numeric_atoms","value":2593,"base":3}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":3034,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":7172,"base":3},"right_expr":{"type":"numeric_atoms","value":2246,"base":3}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":8217,"base":3}}}}},"used_operators":["212REbPD9h","lwHaAYXP2r","SxTAKzQCrw","abYXlopdE0","oraRL2iQuh","bPywburJMS","AvED76WdY7","aSik1wnThz","hyuBjUqXlG","rJVOvQCfKK","qazvmhNBbN","f6k1SAg4EE","Af076pWI7l","MRPaB8lBjK"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"⫏≰122121110111020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3519","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=3519, right_input=4460, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=9259","layer":4},{"info":"number node, value=3450","layer":4},{"info":"compute binary expreesion, left_input=9259, right_input=3450, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=107, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=20283","layer":2},{"info":"number node, value=1408","layer":4},{"info":"compute unary expreesion, input=1408, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=7378","layer":3},{"info":"number node, value=1525","layer":4},{"info":"compute unary expreesion, input=1525, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2048","layer":3},{"info":"compute binary expreesion, left_input=7378, right_input=-2048, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-4318","layer":2},{"info":"compute binary expreesion, left_input=20283, right_input=-4318, 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=2092","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=2593, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3034","layer":4},{"info":"compute unary expreesion, input=3034, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=5311","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=5311, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5311","layer":2},{"info":"number node, value=7172","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=7172, right_input=2246, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=8217","layer":4},{"info":"compute unary expreesion, input=8217, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-7999","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-7999, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8133","layer":2},{"info":"compute binary expreesion, left_input=5311, right_input=8133, 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=nan, right_input=968, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=9358530","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11211100⨿⫏≰20010012∙⊟⫏≰110200221⪡⫏≰11201210)⨚⇆(⊵⊁⫏≰1221011)↼⊘⨖(⨩∲⋌⫏≰2002111)⋾⨃∁(⫏≰2212111⪡⫏≰10120001⨎(⩒∊⫏≰11011101)⪛⫼(⫏≰100211122↓⫏≰10002012⪒(⫏≰102021100⇉⇱⇎)))=⫏≰122121110111020","reverse_text":"⫏≰122121110111020=(⫏≰11211100⨿⫏≰20010012∙⊟⫏≰110200221⪡⫏≰11201210)⨚⇆(⊵⊁⫏≰1221011)↼⊘⨖(⨩∲⋌⫏≰2002111)⋾⨃∁(⫏≰2212111⪡⫏≰10120001⨎(⩒∊⫏≰11011101)⪛⫼(⫏≰100211122↓⫏≰10002012⪒(⫏≰102021100⇉⇱⇎)))","cot":[{"info":"⫏≰11211100⨿⫏≰20010012=⫏≰-102211","layer":3},{"info":"⫏≰110200221⪡⫏≰11201210=⫏≰10222","layer":3},{"info":"⫏≰-102211∙⊟⫏≰10222=⫏≰1000211020","layer":2},{"info":"⊵⊁⫏≰1221011=⫏≰101010021","layer":3},{"info":"⨩∲⋌⫏≰2002111=⫏≰-2210212","layer":3},{"info":"⫏≰101010021↼⊘⨖⫏≰-2210212=⫏≰-12220221","layer":2},{"info":"⫏≰1000211020⨚⇆⫏≰-12220221=NaN","layer":1},{"info":"⫏≰2212111⪡⫏≰10120001=⫏≰10222","layer":3},{"info":"⩒∊⫏≰11011101=⫏≰21021201","layer":3},{"info":"⫏≰10222⨎⫏≰21021201=⫏≰21021201","layer":2},{"info":"⫏≰100211122↓⫏≰10002012=⫏≰-11222","layer":3},{"info":"⫏≰102021100⇉⇱⇎=⫏≰-101222021","layer":3},{"info":"⫏≰-11222⪒⫏≰-101222021=⫏≰102011020","layer":2},{"info":"⫏≰21021201⪛⫼⫏≰102011020=⫏≰1022212","layer":1},{"info":"NaN⋾⨃∁⫏≰1022212=⫏≰122121110111020","layer":0}]}
{"id":907,"expression_no_base_symbol":"($7235$⪕$1878$⊹∫⫚$1459$∓⋝$6895$⫌⩉⩟(⪫⨮⊛$3004$)⇴($1529$≧⫂∧$7799$))⇂≾⫗(⊊≼∋((⪸$2751$)⫁⪎(↣≠⋷$1816$)))","expression":"(⫏≰100220222⪕⫏≰2120120⊹∫⫚⫏≰2000001∓⋝⫏≰100110101⫌⩉⩟(⪫⨮⊛⫏≰11010021)⇴(⫏≰2002122≧⫂∧⫏≰101200212))⇂≾⫗(⊊≼∋((⪸⫏≰10202220)⫁⪎(↣≠⋷⫏≰2111021)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1812571,"operation_count":12,"complexity_ratio":151047.58333333334,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":7235,"base":3},"right_expr":{"type":"numeric_atoms","value":1878,"base":3}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1459,"base":3},"right_expr":{"type":"numeric_atoms","value":6895,"base":3}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":3004,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1529,"base":3},"right_expr":{"type":"numeric_atoms","value":7799,"base":3}}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2751,"base":3}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1816,"base":3}}}}},"used_operators":["aBQ6xLxuTc","XIIwhv8d0m","uWAJUKEvyW","umQnsF7QlU","PoHhknlbAi","4JB6nKBMSY","w5FWba1tyO","Ph9nP6C5qx","FWz7pXsQhA","xRrnTEsQ6j","86A5ENbKR9","Asc51vEJeQ"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","sdazOOVcIp","NTOWxs364D","COABgblf1C","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7235","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=7235, right_input=1878, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=13493","layer":3},{"info":"number node, value=1459","layer":4},{"info":"number node, value=6895","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=6895, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=13493, right_input=67, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-128","layer":2},{"info":"number node, value=3004","layer":4},{"info":"compute unary expreesion, input=3004, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1529","layer":4},{"info":"number node, value=7799","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=7799, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7326","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7326, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-128, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=2751","layer":4},{"info":"compute unary expreesion, input=2751, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-46558","layer":3},{"info":"number node, value=1816","layer":4},{"info":"compute unary expreesion, input=1816, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-46558, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰100220222⪕⫏≰2120120⊹∫⫚⫏≰2000001∓⋝⫏≰100110101⫌⩉⩟(⪫⨮⊛⫏≰11010021)⇴(⫏≰2002122≧⫂∧⫏≰101200212))⇂≾⫗(⊊≼∋((⪸⫏≰10202220)⫁⪎(↣≠⋷⫏≰2111021)))=NaN","reverse_text":"NaN=(⫏≰100220222⪕⫏≰2120120⊹∫⫚⫏≰2000001∓⋝⫏≰100110101⫌⩉⩟(⪫⨮⊛⫏≰11010021)⇴(⫏≰2002122≧⫂∧⫏≰101200212))⇂≾⫗(⊊≼∋((⪸⫏≰10202220)⫁⪎(↣≠⋷⫏≰2111021)))","cot":[{"info":"⫏≰100220222⪕⫏≰2120120=⫏≰200111202","layer":3},{"info":"⫏≰2000001∓⋝⫏≰100110101=⫏≰2111","layer":3},{"info":"⫏≰200111202⊹∫⫚⫏≰2111=⫏≰-11202","layer":2},{"info":"⪫⨮⊛⫏≰11010021=NaN","layer":3},{"info":"⫏≰2002122≧⫂∧⫏≰101200212=⫏≰101001100","layer":3},{"info":"NaN⇴⫏≰101001100=NaN","layer":2},{"info":"⫏≰-11202⫌⩉⩟NaN=⫏≰-1212","layer":1},{"info":"⪸⫏≰10202220=⫏≰-2100212101","layer":3},{"info":"↣≠⋷⫏≰2111021=NaN","layer":3},{"info":"⫏≰-2100212101⫁⪎NaN=NaN","layer":2},{"info":"⊊≼∋NaN=NaN","layer":1},{"info":"⫏≰-1212⇂≾⫗NaN=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"((($3458$⋻⩜⩜$1359$)⩚⊴⇥(⊖$2019$))⊔($1323$⊹∫⫚$2191$⫚↹⊑$1088$⪉⨛$8033$))⨪↰⇹(⫛⫱⨽($1516$≄⊠$3472$⪬∳))","expression":"(((⫏≰11202002⋻⩜⩜⫏≰1212100)⩚⊴⇥(⊖⫏≰2202210))⊔(⫏≰1211000⊹∫⫚⫏≰10000011⫚↹⊑⫏≰1111022⪉⨛⫏≰102000112))⨪↰⇹(⫛⫱⨽(⫏≰2002011≄⊠⫏≰11202121⪬∳))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":231118,"operation_count":11,"complexity_ratio":21010.727272727272,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3458,"base":3},"right_expr":{"type":"numeric_atoms","value":1359,"base":3}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2019,"base":3}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1323,"base":3},"right_expr":{"type":"numeric_atoms","value":2191,"base":3}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1088,"base":3},"right_expr":{"type":"numeric_atoms","value":8033,"base":3}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1516,"base":3},"right_expr":{"type":"numeric_atoms","value":3472,"base":3}}}}},"used_operators":["tmPS8pqC7x","E4l6HwMY31","NTOWxs364D","oDCm7WA9JY","U6pG0PXrV3","dfKe02y8D2","uWAJUKEvyW","EWw2JM7wp4","DlLNRPXxWL","O9U3z1385E","vXNesLlMH1"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rGHVDoGpnC","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⫏≰1111201220","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3458","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=3458, right_input=1359, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6916","layer":3},{"info":"number node, value=2019","layer":4},{"info":"compute unary expreesion, input=2019, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6916, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7037","layer":2},{"info":"number node, value=1323","layer":4},{"info":"number node, value=2191","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=2191, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-344","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=8033","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=8033, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-4554","layer":3},{"info":"compute binary expreesion, left_input=-344, right_input=-4554, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-7037, right_input=-447, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=29697","layer":1},{"info":"number node, value=1516","layer":4},{"info":"number node, value=3472","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=3472, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=60220","layer":3},{"info":"compute unary expreesion, input=60220, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute unary expreesion, input=-709, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=29697, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=29697","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰11202002⋻⩜⩜⫏≰1212100)⩚⊴⇥(⊖⫏≰2202210))⊔(⫏≰1211000⊹∫⫚⫏≰10000011⫚↹⊑⫏≰1111022⪉⨛⫏≰102000112))⨪↰⇹(⫛⫱⨽(⫏≰2002011≄⊠⫏≰11202121⪬∳))=⫏≰1111201220","reverse_text":"⫏≰1111201220=(((⫏≰11202002⋻⩜⩜⫏≰1212100)⩚⊴⇥(⊖⫏≰2202210))⊔(⫏≰1211000⊹∫⫚⫏≰10000011⫚↹⊑⫏≰1111022⪉⨛⫏≰102000112))⨪↰⇹(⫛⫱⨽(⫏≰2002011≄⊠⫏≰11202121⪬∳))","cot":[{"info":"⫏≰11202002⋻⩜⩜⫏≰1212100=⫏≰100111011","layer":3},{"info":"⊖⫏≰2202210=⫏≰0","layer":3},{"info":"⫏≰100111011⩚⊴⇥⫏≰0=⫏≰-100122122","layer":2},{"info":"⫏≰1211000⊹∫⫚⫏≰10000011=⫏≰-110202","layer":3},{"info":"⫏≰1111022⪉⨛⫏≰102000112=⫏≰-20020200","layer":3},{"info":"⫏≰-110202⫚↹⊑⫏≰-20020200=⫏≰-121120","layer":2},{"info":"⫏≰-100122122⊔⫏≰-121120=⫏≰1111201220","layer":1},{"info":"⫏≰2002011≄⊠⫏≰11202121=⫏≰10001121101","layer":3},{"info":"⫏≰10001121101⪬∳=⫏≰-222021","layer":2},{"info":"⫛⫱⨽⫏≰-222021=⫏≰0","layer":1},{"info":"⫏≰1111201220⨪↰⇹⫏≰0=⫏≰1111201220","layer":0}]}
{"id":909,"expression_no_base_symbol":"(⨭⩧⫛(($2897$⋷$2351$)⫭))⇴∐($1403$↓$1207$%$4837$∴$5815$)⪎↠($3907$↓$4976$)↤⩊(⪸$1583$)","expression":"(⨭⩧⫛((⫏≰10222022⋷⫏≰10020002)⫭))⇴∐(⫏≰1220222↓⫏≰1122201%⫏≰20122011∴⫏≰21222101)⪎↠(⫏≰12100201↓⫏≰20211022)↤⩊(⪸⫏≰2011122)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":113132,"operation_count":11,"complexity_ratio":10284.727272727272,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2897,"base":3},"right_expr":{"type":"numeric_atoms","value":2351,"base":3}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1403,"base":3},"right_expr":{"type":"numeric_atoms","value":1207,"base":3}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4837,"base":3},"right_expr":{"type":"numeric_atoms","value":5815,"base":3}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3907,"base":3},"right_expr":{"type":"numeric_atoms","value":4976,"base":3}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1583,"base":3}}}}},"used_operators":["HnzytWxmAO","g21JL6JxX7","t4WUHVGj7f","23Mk6UjR3U","3tVxb0NHM4","k8jYdgA6NY","Af076pWI7l","hrf7POJlIJ","13rbtpv6ld","86A5ENbKR9"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2897","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=2897, right_input=2351, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1805","layer":3},{"info":"compute unary expreesion, input=1805, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=5656","layer":2},{"info":"compute unary expreesion, input=5656, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=1403","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=1207, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=4837","layer":4},{"info":"number node, value=5815","layer":4},{"info":"compute binary expreesion, left_input=4837, right_input=5815, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11322","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=11322, op_id = k8jYdgA6NY binary_op_definition= 'None', output=11188","layer":2},{"info":"number node, value=3907","layer":4},{"info":"number node, value=4976","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=4976, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1583","layer":4},{"info":"compute unary expreesion, input=1583, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-26702","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-26702, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11188, right_input=nan, 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 = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨭⩧⫛((⫏≰10222022⋷⫏≰10020002)⫭))⇴∐(⫏≰1220222↓⫏≰1122201%⫏≰20122011∴⫏≰21222101)⪎↠(⫏≰12100201↓⫏≰20211022)↤⩊(⪸⫏≰2011122)=NaN","reverse_text":"NaN=(⨭⩧⫛((⫏≰10222022⋷⫏≰10020002)⫭))⇴∐(⫏≰1220222↓⫏≰1122201%⫏≰20122011∴⫏≰21222101)⪎↠(⫏≰12100201↓⫏≰20211022)↤⩊(⪸⫏≰2011122)","cot":[{"info":"⫏≰10222022⋷⫏≰10020002=⫏≰2110212","layer":3},{"info":"⫏≰2110212⫭=⫏≰21202111","layer":2},{"info":"⨭⩧⫛⫏≰21202111=NaN","layer":1},{"info":"⫏≰1220222↓⫏≰1122201=⫏≰-11222","layer":3},{"info":"⫏≰20122011∴⫏≰21222101=⫏≰120112100","layer":3},{"info":"⫏≰-11222%⫏≰120112100=⫏≰120100101","layer":2},{"info":"⫏≰12100201↓⫏≰20211022=⫏≰-11222","layer":3},{"info":"⪸⫏≰2011122=⫏≰-1100121222","layer":3},{"info":"⫏≰-11222↤⩊⫏≰-1100121222=NaN","layer":2},{"info":"⫏≰120100101⪎↠NaN=⫏≰12221","layer":1},{"info":"NaN⇴∐⫏≰12221=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"($1988$⋥≓≎$2334$)⨟⋌⩍($2742$↱$1187$)⫸⇳(≦∁($6117$⫡⨏$6703$))⋷((⪨⨬$3467$)⫥∨⫟$4609$⇡⇂$5335$)⫯⪬∳(($1000$⊍⩺⋍$1063$)⨚(≀↧⇸$7184$))","expression":"(⫏≰2201122⋥≓≎⫏≰10012110)⨟⋌⩍(⫏≰10202120↱⫏≰1121222)⫸⇳(≦∁(⫏≰22101120⫡⨏⫏≰100012021))⋷((⪨⨬⫏≰11202102)⫥∨⫟⫏≰20022201⇡⇂⫏≰21022121)⫯⪬∳((⫏≰1101001⊍⩺⋍⫏≰1110101)⨚(≀↧⇸⫏≰100212002))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26736,"operation_count":14,"complexity_ratio":1909.7142857142858,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1988,"base":3},"right_expr":{"type":"numeric_atoms","value":2334,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2742,"base":3},"right_expr":{"type":"numeric_atoms","value":1187,"base":3}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6117,"base":3},"right_expr":{"type":"numeric_atoms","value":6703,"base":3}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":3467,"base":3}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4609,"base":3},"right_expr":{"type":"numeric_atoms","value":5335,"base":3}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1000,"base":3},"right_expr":{"type":"numeric_atoms","value":1063,"base":3}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":7184,"base":3}}}}},"used_operators":["23Mk6UjR3U","gx7XJ7hdpj","rGHVDoGpnC","Qy55tPpLXF","SR5kFfdi6N","9ICcGScMcE","QMFrweE19q","d7ASUq0ydm","KYD54nUTWz","5obUd6DV38","UMwdvZNt44","nREPSIbpBE","OXDGMFPWZM","ljTHtUsqzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","8HhzD0ZcuI","rGHVDoGpnC","T2fj7uvVaJ","nlCqmYiOvY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","BjRHVeLaeN","12rbrZMWeM","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XPYlsWDdGa","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1988","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=2334, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2713","layer":3},{"info":"number node, value=2742","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=2742, right_input=1187, 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=-3039","layer":3},{"info":"compute binary expreesion, left_input=2713, right_input=-3039, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6117","layer":4},{"info":"number node, value=6703","layer":4},{"info":"compute binary expreesion, left_input=6117, right_input=6703, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=44774","layer":3},{"info":"compute unary expreesion, input=44774, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=44774","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=44774, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"number node, value=3467","layer":4},{"info":"compute unary expreesion, input=3467, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=4609","layer":4},{"info":"number node, value=5335","layer":4},{"info":"compute binary expreesion, left_input=4609, right_input=5335, 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":3},{"info":"compute binary expreesion, left_input=-526, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1063, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=7184","layer":4},{"info":"compute unary expreesion, input=7184, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=14368","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14368, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰2201122⋥≓≎⫏≰10012110)⨟⋌⩍(⫏≰10202120↱⫏≰1121222)⫸⇳(≦∁(⫏≰22101120⫡⨏⫏≰100012021))⋷((⪨⨬⫏≰11202102)⫥∨⫟⫏≰20022201⇡⇂⫏≰21022121)⫯⪬∳((⫏≰1101001⊍⩺⋍⫏≰1110101)⨚(≀↧⇸⫏≰100212002))=NaN","reverse_text":"NaN=(⫏≰2201122⋥≓≎⫏≰10012110)⨟⋌⩍(⫏≰10202120↱⫏≰1121222)⫸⇳(≦∁(⫏≰22101120⫡⨏⫏≰100012021))⋷((⪨⨬⫏≰11202102)⫥∨⫟⫏≰20022201⇡⇂⫏≰21022121)⫯⪬∳((⫏≰1101001⊍⩺⋍⫏≰1110101)⨚(≀↧⇸⫏≰100212002))","cot":[{"info":"⫏≰2201122⋥≓≎⫏≰10012110=⫏≰10201111","layer":3},{"info":"⫏≰10202120↱⫏≰1121222=⫏≰-11011120","layer":3},{"info":"⫏≰10201111⨟⋌⩍⫏≰-11011120=NaN","layer":2},{"info":"⫏≰22101120⫡⨏⫏≰100012021=⫏≰2021102022","layer":3},{"info":"≦∁⫏≰2021102022=⫏≰2021102022","layer":2},{"info":"NaN⫸⇳⫏≰2021102022=NaN","layer":1},{"info":"⪨⨬⫏≰11202102=⫏≰-201111","layer":3},{"info":"⫏≰20022201⇡⇂⫏≰21022121=NaN","layer":3},{"info":"⫏≰-201111⫥∨⫟NaN=NaN","layer":2},{"info":"⫏≰1101001⊍⩺⋍⫏≰1110101=NaN","layer":3},{"info":"≀↧⇸⫏≰100212002=⫏≰201201011","layer":3},{"info":"NaN⨚⫏≰201201011=NaN","layer":2},{"info":"NaN⫯⪬∳NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"(∓(⇜⊴$1792$)↓$7825$⪝$5319$)⪃⊛⇣((($1293$↦)⋥≓≎$2923$⩒⫫$1187$)⇂≾⫗($3978$↳≱$1024$⇴∐$1745$∳⫺$1590$))","expression":"(∓(⇜⊴⫏≰2110101)↓⫏≰101201211⪝⫏≰21022000)⪃⊛⇣(((⫏≰1202220↦)⋥≓≎⫏≰11000021⩒⫫⫏≰1121222)⇂≾⫗(⫏≰12110100↳≱⫏≰1101221⇴∐⫏≰2101122∳⫺⫏≰2011220))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":439541,"operation_count":12,"complexity_ratio":36628.416666666664,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1792,"base":3}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":7825,"base":3},"right_expr":{"type":"numeric_atoms","value":5319,"base":3}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1293,"base":3}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2923,"base":3},"right_expr":{"type":"numeric_atoms","value":1187,"base":3}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3978,"base":3},"right_expr":{"type":"numeric_atoms","value":1024,"base":3}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1745,"base":3},"right_expr":{"type":"numeric_atoms","value":1590,"base":3}}}}},"used_operators":["rrgAzCduG9","OwUj7dcsQK","Af076pWI7l","XwDhCwWbUn","wicAB68Tmb","aBQ6xLxuTc","Qy55tPpLXF","fFznvYxMfW","KFSx94NKJn","HnzytWxmAO","JwTKLfZU96","AzXXKTstlj"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"compute unary expreesion, input=1792, 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=-409198","layer":3},{"info":"number node, value=7825","layer":4},{"info":"number node, value=5319","layer":4},{"info":"compute binary expreesion, left_input=7825, right_input=5319, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-10423","layer":3},{"info":"compute binary expreesion, left_input=-409198, right_input=-10423, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-2862","layer":1},{"info":"number node, value=1293","layer":4},{"info":"compute unary expreesion, input=1293, 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":3},{"info":"number node, value=2923","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=1187, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2621","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2621, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=3978","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=3978, right_input=1024, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1590, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-116, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-748","layer":1},{"info":"compute binary expreesion, left_input=-2862, right_input=-748, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"(∓(⇜⊴⫏≰2110101)↓⫏≰101201211⪝⫏≰21022000)⪃⊛⇣(((⫏≰1202220↦)⋥≓≎⫏≰11000021⩒⫫⫏≰1121222)⇂≾⫗(⫏≰12110100↳≱⫏≰1101221⇴∐⫏≰2101122∳⫺⫏≰2011220))=⫏≰1200201","reverse_text":"⫏≰1200201=(∓(⇜⊴⫏≰2110101)↓⫏≰101201211⪝⫏≰21022000)⪃⊛⇣(((⫏≰1202220↦)⋥≓≎⫏≰11000021⩒⫫⫏≰1121222)⇂≾⫗(⫏≰12110100↳≱⫏≰1101221⇴∐⫏≰2101122∳⫺⫏≰2011220))","cot":[{"info":"⇜⊴⫏≰2110101=⫏≰-202210022111","layer":3},{"info":"⫏≰101201211⪝⫏≰21022000=⫏≰-112022001","layer":3},{"info":"⫏≰-202210022111↓⫏≰-112022001=⫏≰-11222","layer":2},{"info":"∓⫏≰-11222=⫏≰-10221000","layer":1},{"info":"⫏≰1202220↦=NaN","layer":3},{"info":"⫏≰11000021⩒⫫⫏≰1121222=⫏≰10121002","layer":3},{"info":"NaN⋥≓≎⫏≰10121002=⫏≰2111","layer":2},{"info":"⫏≰12110100↳≱⫏≰1101221=⫏≰0","layer":3},{"info":"⫏≰2101122∳⫺⫏≰2011220=⫏≰-100122","layer":3},{"info":"⫏≰0⇴∐⫏≰-100122=⫏≰-11022","layer":2},{"info":"⫏≰2111⇂≾⫗⫏≰-11022=⫏≰-1000201","layer":1},{"info":"⫏≰-10221000⪃⊛⇣⫏≰-1000201=⫏≰1200201","layer":0}]}
{"id":912,"expression_no_base_symbol":"⫇(⨈⫕($2918$⨲)⇡⇂(⩒∊$1247$))","expression":"⫇(⨈⫕(⫏≰11000002⨲)⇡⇂(⩒∊⫏≰1201012))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":451160,"operation_count":5,"complexity_ratio":90232.0,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2918,"base":3}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1247,"base":3}}}}},"used_operators":["YjI8oCXuph","megm06wKyl","UMwdvZNt44","nLYMGWM7L8","qazvmhNBbN"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"⫏≰1021021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2918","layer":4},{"info":"compute unary expreesion, input=2918, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=517003405","layer":3},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1737","layer":3},{"info":"compute binary expreesion, left_input=517003405, right_input=1737, 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":2},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=925","layer":0}],"base":3,"result_base":3,"text":"⫇(⨈⫕(⫏≰11000002⨲)⇡⇂(⩒∊⫏≰1201012))=⫏≰1021021","reverse_text":"⫏≰1021021=⫇(⨈⫕(⫏≰11000002⨲)⇡⇂(⩒∊⫏≰1201012))","cot":[{"info":"⫏≰11000002⨲=⫏≰1100000211111100021","layer":3},{"info":"⩒∊⫏≰1201012=⫏≰2101100","layer":3},{"info":"⫏≰1100000211111100021⇡⇂⫏≰2101100=NaN","layer":2},{"info":"⨈⫕NaN=⫏≰-210","layer":1},{"info":"⫇⫏≰-210=⫏≰1021021","layer":0}]}
{"id":913,"expression_no_base_symbol":"↣≠⋷(≑⋹($2530$⊢$4096$⪪($1291$⨸⪁$3714$)))","expression":"↣≠⋷(≑⋹(⫏≰10110201⊢⫏≰12121201⪪(⫏≰1202211⨸⪁⫏≰12002120)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":593661,"operation_count":5,"complexity_ratio":118732.2,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2530,"base":3},"right_expr":{"type":"numeric_atoms","value":4096,"base":3}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1291,"base":3},"right_expr":{"type":"numeric_atoms","value":3714,"base":3}}}}},"used_operators":["Asc51vEJeQ","6B9nyZLogK","xD69zh8xqp","5twsqlHp2o","g55IO6H4Gj"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2530","layer":4},{"info":"number node, value=4096","layer":4},{"info":"compute binary expreesion, left_input=2530, right_input=4096, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5304","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=3714, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10010","layer":3},{"info":"compute binary expreesion, left_input=-5304, right_input=10010, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute unary expreesion, input=-6206, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":1},{"info":"compute unary expreesion, input=-766, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"↣≠⋷(≑⋹(⫏≰10110201⊢⫏≰12121201⪪(⫏≰1202211⨸⪁⫏≰12002120)))=NaN","reverse_text":"NaN=↣≠⋷(≑⋹(⫏≰10110201⊢⫏≰12121201⪪(⫏≰1202211⨸⪁⫏≰12002120)))","cot":[{"info":"⫏≰10110201⊢⫏≰12121201=⫏≰-21021110","layer":3},{"info":"⫏≰1202211⨸⪁⫏≰12002120=⫏≰111201202","layer":3},{"info":"⫏≰-21021110⪪⫏≰111201202=⫏≰-22111212","layer":2},{"info":"≑⋹⫏≰-22111212=⫏≰-1001101","layer":1},{"info":"↣≠⋷⫏≰-1001101=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"($3940$∓⋝$5429$)≁↽≥($2059$⨻⩈⩔$2076$)≄⊠($3205$↓$1914$≀⩗∶($1296$⫳≱↱$2171$))⊭↱(⋗⩴⪓($4728$⩺⪪$3758$))⋥≓≎($4409$∠↢$3758$)∺≝⩲($4078$⨒$1245$)","expression":"(⫏≰12101221∓⋝⫏≰21110002)≁↽≥(⫏≰2211021⨻⩈⩔⫏≰2211220)≄⊠(⫏≰11101201↓⫏≰2121220≀⩗∶(⫏≰1210000⫳≱↱⫏≰2222102))⊭↱(⋗⩴⪓(⫏≰20111010⩺⪪⫏≰12011012))⋥≓≎(⫏≰20001022∠↢⫏≰12011012)∺≝⩲(⫏≰12121001⨒⫏≰1201010)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27871,"operation_count":14,"complexity_ratio":1990.7857142857142,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3940,"base":3},"right_expr":{"type":"numeric_atoms","value":5429,"base":3}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2059,"base":3},"right_expr":{"type":"numeric_atoms","value":2076,"base":3}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3205,"base":3},"right_expr":{"type":"numeric_atoms","value":1914,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1296,"base":3},"right_expr":{"type":"numeric_atoms","value":2171,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4728,"base":3},"right_expr":{"type":"numeric_atoms","value":3758,"base":3}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4409,"base":3},"right_expr":{"type":"numeric_atoms","value":3758,"base":3}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4078,"base":3},"right_expr":{"type":"numeric_atoms","value":1245,"base":3}}}}},"used_operators":["COABgblf1C","vXNesLlMH1","ncHt1X6cMc","PoHhknlbAi","nEsXyWgiOK","8INZBEW696","Af076pWI7l","ZvLB05nZmT","Qy55tPpLXF","nOKPl9n5zu","uvdQJvN4PV","KPf6cnQVty","KbjG8mgYpV","y75s1iXyHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⫏≰-21001111110","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3940","layer":4},{"info":"number node, value=5429","layer":4},{"info":"compute binary expreesion, left_input=3940, right_input=5429, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2059","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=2076, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=8071","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=8071, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=10937","layer":2},{"info":"number node, value=3205","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=1914, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=2171, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-204, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":2},{"info":"compute binary expreesion, left_input=10937, right_input=-3, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=4728","layer":4},{"info":"number node, value=3758","layer":4},{"info":"compute binary expreesion, left_input=4728, right_input=3758, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-16418","layer":3},{"info":"compute unary expreesion, input=-16418, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=68292","layer":2},{"info":"number node, value=4409","layer":4},{"info":"number node, value=3758","layer":4},{"info":"compute binary expreesion, left_input=4409, right_input=3758, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-69166","layer":3},{"info":"number node, value=4078","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=4078, right_input=1245, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-24096","layer":3},{"info":"compute binary expreesion, left_input=-69166, right_input=-24096, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=68292, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-67939","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=-67939, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-138873","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12101221∓⋝⫏≰21110002)≁↽≥(⫏≰2211021⨻⩈⩔⫏≰2211220)≄⊠(⫏≰11101201↓⫏≰2121220≀⩗∶(⫏≰1210000⫳≱↱⫏≰2222102))⊭↱(⋗⩴⪓(⫏≰20111010⩺⪪⫏≰12011012))⋥≓≎(⫏≰20001022∠↢⫏≰12011012)∺≝⩲(⫏≰12121001⨒⫏≰1201010)=⫏≰-21001111110","reverse_text":"⫏≰-21001111110=(⫏≰12101221∓⋝⫏≰21110002)≁↽≥(⫏≰2211021⨻⩈⩔⫏≰2211220)≄⊠(⫏≰11101201↓⫏≰2121220≀⩗∶(⫏≰1210000⫳≱↱⫏≰2222102))⊭↱(⋗⩴⪓(⫏≰20111010⩺⪪⫏≰12011012))⋥≓≎(⫏≰20001022∠↢⫏≰12011012)∺≝⩲(⫏≰12121001⨒⫏≰1201010)","cot":[{"info":"⫏≰12101221∓⋝⫏≰21110002=⫏≰2111","layer":3},{"info":"⫏≰2211021⨻⩈⩔⫏≰2211220=⫏≰102001221","layer":3},{"info":"⫏≰2111≁↽≥⫏≰102001221=⫏≰120000002","layer":2},{"info":"⫏≰11101201↓⫏≰2121220=⫏≰-11222","layer":3},{"info":"⫏≰1210000⫳≱↱⫏≰2222102=⫏≰-21120","layer":3},{"info":"⫏≰-11222≀⩗∶⫏≰-21120=⫏≰-10","layer":2},{"info":"⫏≰120000002≄⊠⫏≰-10=⫏≰2001120","layer":1},{"info":"⫏≰20111010⩺⪪⫏≰12011012=⫏≰-211112002","layer":3},{"info":"⋗⩴⪓⫏≰-211112002=⫏≰10110200100","layer":2},{"info":"⫏≰20001022∠↢⫏≰12011012=⫏≰-10111212201","layer":3},{"info":"⫏≰12121001⨒⫏≰1201010=⫏≰-1020001110","layer":3},{"info":"⫏≰-10111212201∺≝⩲⫏≰-1020001110=⫏≰12221","layer":2},{"info":"⫏≰10110200100⋥≓≎⫏≰12221=⫏≰-10110012021","layer":1},{"info":"⫏≰2001120⊭↱⫏≰-10110012021=⫏≰-21001111110","layer":0}]}
{"id":915,"expression_no_base_symbol":"((($3732$⊝)⨲)⩠)⊜","expression":"(((⫏≰12010020⊝)⨲)⩠)⊜","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":565116,"operation_count":4,"complexity_ratio":141279.0,"tree":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":3732,"base":3}}}}},"used_operators":["Eev2Q7dYIw","sJAwomhLZr","nLYMGWM7L8","O6EZ0fifGK"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC"],"result":"⫏≰2101022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3732","layer":4},{"info":"compute unary expreesion, input=3732, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=3732","layer":3},{"info":"compute unary expreesion, input=3732, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=662507533","layer":2},{"info":"compute unary expreesion, input=662507533, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1736","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰12010020⊝)⨲)⩠)⊜=⫏≰2101022","reverse_text":"⫏≰2101022=(((⫏≰12010020⊝)⨲)⩠)⊜","cot":[{"info":"⫏≰12010020⊝=⫏≰12010020","layer":3},{"info":"⫏≰12010020⨲=⫏≰1201011121212111001","layer":2},{"info":"⫏≰1201011121212111001⩠=⫏≰0","layer":1},{"info":"⫏≰0⊜=⫏≰2101022","layer":0}]}
{"id":916,"expression_no_base_symbol":"((⇵⪽$2666$)≝⊿(⋎⨆$2036$)⨲∙)↸((⋗⩬⋾$8566$)⨕⋳)⋥≓≎($2986$⊴⇁⪶)⨚⇆(⊖$2737$)","expression":"((⇵⪽⫏≰10122202)≝⊿(⋎⨆⫏≰2210102)⨲∙)↸((⋗⩬⋾⫏≰102202021)⨕⋳)⋥≓≎(⫏≰11002121⊴⇁⪶)⨚⇆(⊖⫏≰10202101)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":409615,"operation_count":11,"complexity_ratio":37237.72727272727,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2666,"base":3}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2036,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":8566,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":2986,"base":3}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2737,"base":3}}}}},"used_operators":["1eCjFl0mb9","cRahaglYVE","OKKcZfAt5B","ZGCBLdVRRX","E64sFOc4tB","Qy55tPpLXF","4X4GscPmMf","DpFCA1CohY","lwHaAYXP2r","oo9mF6JIpo","U6pG0PXrV3"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","12rbrZMWeM","U7g4x0WXJJ","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2666","layer":4},{"info":"compute unary expreesion, input=2666, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=2036","layer":4},{"info":"compute unary expreesion, input=2036, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"number node, value=8566","layer":4},{"info":"compute unary expreesion, input=8566, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-25698","layer":3},{"info":"compute unary expreesion, input=-25698, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-3036934","layer":2},{"info":"number node, value=2986","layer":4},{"info":"compute unary expreesion, input=2986, 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=58014","layer":3},{"info":"number node, value=2737","layer":4},{"info":"compute unary expreesion, input=2737, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=58014, right_input=0, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3036934, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇵⪽⫏≰10122202)≝⊿(⋎⨆⫏≰2210102)⨲∙)↸((⋗⩬⋾⫏≰102202021)⨕⋳)⋥≓≎(⫏≰11002121⊴⇁⪶)⨚⇆(⊖⫏≰10202101)=NaN","reverse_text":"NaN=((⇵⪽⫏≰10122202)≝⊿(⋎⨆⫏≰2210102)⨲∙)↸((⋗⩬⋾⫏≰102202021)⨕⋳)⋥≓≎(⫏≰11002121⊴⇁⪶)⨚⇆(⊖⫏≰10202101)","cot":[{"info":"⇵⪽⫏≰10122202=NaN","layer":3},{"info":"⋎⨆⫏≰2210102=⫏≰0","layer":3},{"info":"NaN≝⊿⫏≰0=NaN","layer":2},{"info":"NaN⨲∙=NaN","layer":1},{"info":"⋗⩬⋾⫏≰102202021=⫏≰-1022020210","layer":3},{"info":"⫏≰-1022020210⨕⋳=⫏≰-12201021220001","layer":2},{"info":"⫏≰11002121⊴⇁⪶=⫏≰2221120200","layer":3},{"info":"⊖⫏≰10202101=⫏≰0","layer":3},{"info":"⫏≰2221120200⨚⇆⫏≰0=NaN","layer":2},{"info":"⫏≰-12201021220001⋥≓≎NaN=⫏≰2111","layer":1},{"info":"NaN↸⫏≰2111=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"(⇉-⫰($1360$⇮⋭$1877$+$2935$⨂≜$5454$))⊴⇁⪶","expression":"(⇉-⫰(⫏≰1212101⇮⋭⫏≰2120112+⫏≰11000201⨂≜⫏≰21111000))⊴⇁⪶","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3155,"operation_count":5,"complexity_ratio":631.0,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1360,"base":3},"right_expr":{"type":"numeric_atoms","value":1877,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2935,"base":3},"right_expr":{"type":"numeric_atoms","value":5454,"base":3}}}}},"used_operators":["oo9mF6JIpo","IGFM8TAlm9","W4YGzv6Whe","vkpjKywKVM","k1SHOSEABc"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","eH2TOUuTDT","eewbuw0ToL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=1360","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=1877, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=2935","layer":4},{"info":"number node, value=5454","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=5454, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"(⇉-⫰(⫏≰1212101⇮⋭⫏≰2120112+⫏≰11000201⨂≜⫏≰21111000))⊴⇁⪶=NaN","reverse_text":"NaN=(⇉-⫰(⫏≰1212101⇮⋭⫏≰2120112+⫏≰11000201⨂≜⫏≰21111000))⊴⇁⪶","cot":[{"info":"⫏≰1212101⇮⋭⫏≰2120112=⫏≰-122112","layer":3},{"info":"⫏≰11000201⨂≜⫏≰21111000=NaN","layer":3},{"info":"⫏≰-122112+NaN=NaN","layer":2},{"info":"⇉-⫰NaN=NaN","layer":1},{"info":"NaN⊴⇁⪶=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"(⫇($1317$⨑⩅≇$2008$⩺⋐⫨))⪃⊛⇣(($4406$⩣⫁∢$2438$∪⫐($2292$≝⊰⇂))⪝($1475$⨑≵⋬$1092$+$8415$⨸$1273$))","expression":"(⫇(⫏≰1210210⨑⩅≇⫏≰2202101⩺⋐⫨))⪃⊛⇣((⫏≰20001012⩣⫁∢⫏≰10100022∪⫐(⫏≰10010220≝⊰⇂))⪝(⫏≰2000122⨑≵⋬⫏≰1111110+⫏≰102112200⨸⫏≰1202011))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":908525,"operation_count":11,"complexity_ratio":82593.18181818182,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1317,"base":3},"right_expr":{"type":"numeric_atoms","value":2008,"base":3}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4406,"base":3},"right_expr":{"type":"numeric_atoms","value":2438,"base":3}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":2292,"base":3}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1475,"base":3},"right_expr":{"type":"numeric_atoms","value":1092,"base":3}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":8415,"base":3},"right_expr":{"type":"numeric_atoms","value":1273,"base":3}}}}},"used_operators":["rrgAzCduG9","YjI8oCXuph","yS9ePUuUdn","h92wMvzauj","wicAB68Tmb","7YooWSwCyH","JDUIKTTSIa","htSmYCowi5","W4YGzv6Whe","XnXgA4xnOs","KmoU8R5UQR"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rJVOvQCfKK","2DDjHMKMc0","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","DlLNRPXxWL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⫏≰1200201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=2008, 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=-3951","layer":3},{"info":"compute unary expreesion, input=-3951, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"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":1},{"info":"number node, value=4406","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=4406, right_input=2438, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8651","layer":3},{"info":"number node, value=2292","layer":4},{"info":"compute unary expreesion, input=2292, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8651, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-8651","layer":2},{"info":"number node, value=1475","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=1092, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1110","layer":3},{"info":"number node, value=8415","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=8415, right_input=1273, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=16830","layer":3},{"info":"compute binary expreesion, left_input=1110, right_input=16830, op_id = W4YGzv6Whe binary_op_definition= 'None', output=17940","layer":2},{"info":"compute binary expreesion, left_input=-8651, right_input=17940, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-13583","layer":1},{"info":"compute binary expreesion, left_input=946, right_input=-13583, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":3,"result_base":3,"text":"(⫇(⫏≰1210210⨑⩅≇⫏≰2202101⩺⋐⫨))⪃⊛⇣((⫏≰20001012⩣⫁∢⫏≰10100022∪⫐(⫏≰10010220≝⊰⇂))⪝(⫏≰2000122⨑≵⋬⫏≰1111110+⫏≰102112200⨸⫏≰1202011))=⫏≰1200201","reverse_text":"⫏≰1200201=(⫇(⫏≰1210210⨑⩅≇⫏≰2202101⩺⋐⫨))⪃⊛⇣((⫏≰20001012⩣⫁∢⫏≰10100022∪⫐(⫏≰10010220≝⊰⇂))⪝(⫏≰2000122⨑≵⋬⫏≰1111110+⫏≰102112200⨸⫏≰1202011))","cot":[{"info":"⫏≰1210210⨑⩅≇⫏≰2202101=⫏≰-12102100","layer":3},{"info":"⫏≰-12102100⩺⋐⫨=⫏≰0","layer":2},{"info":"⫇⫏≰0=⫏≰1022001","layer":1},{"info":"⫏≰20001012⩣⫁∢⫏≰10100022=⫏≰-102212102","layer":3},{"info":"⫏≰10010220≝⊰⇂=⫏≰0","layer":3},{"info":"⫏≰-102212102∪⫐⫏≰0=⫏≰-102212102","layer":2},{"info":"⫏≰2000122⨑≵⋬⫏≰1111110=⫏≰1112010","layer":3},{"info":"⫏≰102112200⨸⫏≰1202011=⫏≰212002100","layer":3},{"info":"⫏≰1112010+⫏≰212002100=⫏≰220121110","layer":2},{"info":"⫏≰-102212102⪝⫏≰220121110=⫏≰-200122002","layer":1},{"info":"⫏≰1022001⪃⊛⇣⫏≰-200122002=⫏≰1200201","layer":0}]}
{"id":919,"expression_no_base_symbol":"((⇉-⫰$1427$)⋓($2368$⨵⪆$4425$)⪒($1344$⇤$3065$⊅))∌(($1423$∙∹∝$1007$)⨸($4095$≨$2083$)⫦⪉(∓⪦$6782$)∌↝$1020$⊉↱≁$2206$)","expression":"((⇉-⫰⫏≰1221212)⋓(⫏≰10020201⨵⪆⫏≰20001220)⪒(⫏≰1211210⇤⫏≰11012112⊅))∌((⫏≰1221201∙∹∝⫏≰1101022)⨸(⫏≰12121200≨⫏≰2212011)⫦⪉(∓⪦⫏≰100022012)∌↝⫏≰1101210⊉↱≁⫏≰10000201)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":449,"operation_count":14,"complexity_ratio":32.07142857142857,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1427,"base":3}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2368,"base":3},"right_expr":{"type":"numeric_atoms","value":4425,"base":3}}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1344,"base":3},"right_expr":{"type":"numeric_atoms","value":3065,"base":3}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1423,"base":3},"right_expr":{"type":"numeric_atoms","value":1007,"base":3}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4095,"base":3},"right_expr":{"type":"numeric_atoms","value":2083,"base":3}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":6782,"base":3}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1020,"base":3},"right_expr":{"type":"numeric_atoms","value":2206,"base":3}}}}},"used_operators":["8cLx32lpNA","f6k1SAg4EE","T2fj7uvVaJ","IGFM8TAlm9","2DQ55sFlQl","7p6YLioM7f","YSKBFp38Pu","wscyQdcy20","KmoU8R5UQR","HmxsFra2vL","0KMCeP1Jsh","9Isq31Ruls","D309nIvmXG","w2P8NbNXyL"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eH2TOUuTDT","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⫏≰-212020200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=2368","layer":4},{"info":"number node, value=4425","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=4425, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1344","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=3065, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-19197","layer":3},{"info":"compute unary expreesion, input=-19197, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=16947, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-16947","layer":1},{"info":"number node, value=1423","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=1007, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4095","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=2083, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-38474","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-38474, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=-3453786","layer":2},{"info":"number node, value=6782","layer":4},{"info":"compute unary expreesion, input=6782, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=6374","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=2206, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-4150","layer":3},{"info":"compute binary expreesion, left_input=6374, right_input=-4150, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=12748","layer":2},{"info":"compute binary expreesion, left_input=-3453786, right_input=12748, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=6911410","layer":1},{"info":"compute binary expreesion, left_input=-16947, right_input=6911410, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-16947","layer":0}],"base":3,"result_base":3,"text":"((⇉-⫰⫏≰1221212)⋓(⫏≰10020201⨵⪆⫏≰20001220)⪒(⫏≰1211210⇤⫏≰11012112⊅))∌((⫏≰1221201∙∹∝⫏≰1101022)⨸(⫏≰12121200≨⫏≰2212011)⫦⪉(∓⪦⫏≰100022012)∌↝⫏≰1101210⊉↱≁⫏≰10000201)=⫏≰-212020200","reverse_text":"⫏≰-212020200=((⇉-⫰⫏≰1221212)⋓(⫏≰10020201⨵⪆⫏≰20001220)⪒(⫏≰1211210⇤⫏≰11012112⊅))∌((⫏≰1221201∙∹∝⫏≰1101022)⨸(⫏≰12121200≨⫏≰2212011)⫦⪉(∓⪦⫏≰100022012)∌↝⫏≰1101210⊉↱≁⫏≰10000201)","cot":[{"info":"⇉-⫰⫏≰1221212=⫏≰202","layer":3},{"info":"⫏≰10020201⨵⪆⫏≰20001220=⫏≰12221","layer":3},{"info":"⫏≰202⋓⫏≰12221=⫏≰0","layer":2},{"info":"⫏≰1211210⇤⫏≰11012112=⫏≰-222100000","layer":3},{"info":"⫏≰-222100000⊅=⫏≰212020200","layer":2},{"info":"⫏≰0⪒⫏≰212020200=⫏≰-212020200","layer":1},{"info":"⫏≰1221201∙∹∝⫏≰1101022=⫏≰0","layer":3},{"info":"⫏≰12121200≨⫏≰2212011=⫏≰-1221202222","layer":3},{"info":"⫏≰0⨸⫏≰-1221202222=⫏≰-20111110201000","layer":2},{"info":"∓⪦⫏≰100022012=⫏≰22202002","layer":3},{"info":"⫏≰1101210⊉↱≁⫏≰10000201=⫏≰-12200201","layer":3},{"info":"⫏≰22202002∌↝⫏≰-12200201=⫏≰122111011","layer":2},{"info":"⫏≰-20111110201000⫦⪉⫏≰122111011=⫏≰111000010200011","layer":1},{"info":"⫏≰-212020200∌⫏≰111000010200011=⫏≰-212020200","layer":0}]}
{"id":920,"expression_no_base_symbol":"(($6360$⩣⫁∢$1455$≋⫹)⫌⩉⩟$1773$≝⊿$5261$⪕($1726$⋳⪒$4778$))⨫⇇↔($1985$⊍⩺⋍$4943$)⨸(↡$1305$)∌(($1707$/$1047$)+⪬∐$2072$⨐$2124$)","expression":"((⫏≰22201120⩣⫁∢⫏≰1222220≋⫹)⫌⩉⩟⫏≰2102200≝⊿⫏≰21012212⪕(⫏≰2100221⋳⪒⫏≰20112222))⨫⇇↔(⫏≰2201112⊍⩺⋍⫏≰20210002)⨸(↡⫏≰1210100)∌((⫏≰2100020/⫏≰1102210)+⪬∐⫏≰2211202⨐⫏≰2220200)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":884554,"operation_count":14,"complexity_ratio":63182.42857142857,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6360,"base":3},"right_expr":{"type":"numeric_atoms","value":1455,"base":3}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1773,"base":3},"right_expr":{"type":"numeric_atoms","value":5261,"base":3}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1726,"base":3},"right_expr":{"type":"numeric_atoms","value":4778,"base":3}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1985,"base":3},"right_expr":{"type":"numeric_atoms","value":4943,"base":3}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1305,"base":3}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1707,"base":3},"right_expr":{"type":"numeric_atoms","value":1047,"base":3}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2072,"base":3},"right_expr":{"type":"numeric_atoms","value":2124,"base":3}}}}},"used_operators":["LXhwmt4mBO","XIIwhv8d0m","N41Kp7NANJ","JDUIKTTSIa","umQnsF7QlU","OKKcZfAt5B","12rbrZMWeM","8cLx32lpNA","KmoU8R5UQR","OXDGMFPWZM","MXaNJeIAZ3","2GS7woTJqF","XhwjNDsVaA","Noe24qw2ks"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⫏≰-201112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6360","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=6360, right_input=1455, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12559","layer":3},{"info":"compute unary expreesion, input=-12559, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=25118","layer":2},{"info":"number node, value=1773","layer":4},{"info":"number node, value=5261","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=5261, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12828","layer":3},{"info":"number node, value=1726","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=4778, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1613","layer":3},{"info":"compute binary expreesion, left_input=-12828, right_input=-1613, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute binary expreesion, left_input=25118, right_input=935, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1985","layer":4},{"info":"number node, value=4943","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=4943, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=11745","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11745, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=1707","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=1047, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2072","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=2124, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4144","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-4144, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=3","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=3, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":3,"result_base":3,"text":"((⫏≰22201120⩣⫁∢⫏≰1222220≋⫹)⫌⩉⩟⫏≰2102200≝⊿⫏≰21012212⪕(⫏≰2100221⋳⪒⫏≰20112222))⨫⇇↔(⫏≰2201112⊍⩺⋍⫏≰20210002)⨸(↡⫏≰1210100)∌((⫏≰2100020/⫏≰1102210)+⪬∐⫏≰2211202⨐⫏≰2220200)=⫏≰-201112","reverse_text":"⫏≰-201112=((⫏≰22201120⩣⫁∢⫏≰1222220≋⫹)⫌⩉⩟⫏≰2102200≝⊿⫏≰21012212⪕(⫏≰2100221⋳⪒⫏≰20112222))⨫⇇↔(⫏≰2201112⊍⩺⋍⫏≰20210002)⨸(↡⫏≰1210100)∌((⫏≰2100020/⫏≰1102210)+⪬∐⫏≰2211202⨐⫏≰2220200)","cot":[{"info":"⫏≰22201120⩣⫁∢⫏≰1222220=⫏≰-122020011","layer":3},{"info":"⫏≰-122020011≋⫹=⫏≰1021110022","layer":2},{"info":"⫏≰2102200≝⊿⫏≰21012212=⫏≰-122121010","layer":3},{"info":"⫏≰2100221⋳⪒⫏≰20112222=⫏≰-2012202","layer":3},{"info":"⫏≰-122121010⪕⫏≰-2012202=⫏≰1021122","layer":2},{"info":"⫏≰1021110022⫌⩉⩟⫏≰1021122=⫏≰-1212","layer":1},{"info":"⫏≰2201112⊍⩺⋍⫏≰20210002=NaN","layer":3},{"info":"↡⫏≰1210100=⫏≰121010000","layer":3},{"info":"NaN⨸⫏≰121010000=NaN","layer":2},{"info":"⫏≰2100020/⫏≰1102210=⫏≰1","layer":3},{"info":"⫏≰2211202⨐⫏≰2220200=⫏≰-12200111","layer":3},{"info":"⫏≰1+⪬∐⫏≰-12200111=⫏≰-10","layer":2},{"info":"NaN∌⫏≰-10=⫏≰10","layer":1},{"info":"⫏≰-1212⨫⇇↔⫏≰10=⫏≰-201112","layer":0}]}
{"id":921,"expression_no_base_symbol":"(((⋎⨆$5591$)⨔≚≋$5188$⨪↰⇹$1202$)⨀⨒)⪪(($5684$⇷$1995$⋷$3064$⇻⋧≁$1191$)⊝⪿⪼($1628$⩒⫫$1153$⊉≛↸$5077$∥⊢⊲$3539$))","expression":"(((⋎⨆⫏≰21200002)⨔≚≋⫏≰21010011⨪↰⇹⫏≰1122112)⨀⨒)⪪((⫏≰21210112⇷⫏≰2201220⋷⫏≰11012111⇻⋧≁⫏≰1122010)⊝⪿⪼(⫏≰2020022⩒⫫⫏≰1120201⊉≛↸⫏≰20222001∥⊢⊲⫏≰11212002))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1198821,"operation_count":12,"complexity_ratio":99901.75,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":5591,"base":3}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5188,"base":3},"right_expr":{"type":"numeric_atoms","value":1202,"base":3}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5684,"base":3},"right_expr":{"type":"numeric_atoms","value":1995,"base":3}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3064,"base":3},"right_expr":{"type":"numeric_atoms","value":1191,"base":3}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1628,"base":3},"right_expr":{"type":"numeric_atoms","value":1153,"base":3}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5077,"base":3},"right_expr":{"type":"numeric_atoms","value":3539,"base":3}}}}},"used_operators":["xD69zh8xqp","j6NVkjMzuk","Z57zeUYC9z","E64sFOc4tB","tmPS8pqC7x","3Oe9XWJUTD","23Mk6UjR3U","mp7IySMOzn","jCPkEVoL5K","DZ8iAZOCBD","KFSx94NKJn","v1UQAVDJRr"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rJVOvQCfKK","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC"],"result":"⫏≰-10200121111110200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5591","layer":4},{"info":"compute unary expreesion, input=5591, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=5188","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=5188, right_input=1202, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5188","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5188, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-44264","layer":2},{"info":"compute unary expreesion, input=-44264, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":1},{"info":"number node, value=5684","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=5684, right_input=1995, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3990","layer":3},{"info":"number node, value=3064","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=1191, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=3990, right_input=-447, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4884","layer":2},{"info":"number node, value=1628","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=1153, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1326","layer":3},{"info":"number node, value=5077","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=5077, right_input=3539, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1326, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2652","layer":2},{"info":"compute binary expreesion, left_input=-4884, right_input=2652, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-63328","layer":1},{"info":"compute binary expreesion, left_input=-2407, right_input=-63328, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-52937406","layer":0}],"base":3,"result_base":3,"text":"(((⋎⨆⫏≰21200002)⨔≚≋⫏≰21010011⨪↰⇹⫏≰1122112)⨀⨒)⪪((⫏≰21210112⇷⫏≰2201220⋷⫏≰11012111⇻⋧≁⫏≰1122010)⊝⪿⪼(⫏≰2020022⩒⫫⫏≰1120201⊉≛↸⫏≰20222001∥⊢⊲⫏≰11212002))=⫏≰-10200121111110200","reverse_text":"⫏≰-10200121111110200=(((⋎⨆⫏≰21200002)⨔≚≋⫏≰21010011⨪↰⇹⫏≰1122112)⨀⨒)⪪((⫏≰21210112⇷⫏≰2201220⋷⫏≰11012111⇻⋧≁⫏≰1122010)⊝⪿⪼(⫏≰2020022⩒⫫⫏≰1120201⊉≛↸⫏≰20222001∥⊢⊲⫏≰11212002))","cot":[{"info":"⋎⨆⫏≰21200002=⫏≰0","layer":3},{"info":"⫏≰21010011⨪↰⇹⫏≰1122112=⫏≰21010011","layer":3},{"info":"⫏≰0⨔≚≋⫏≰21010011=⫏≰-2020201102","layer":2},{"info":"⫏≰-2020201102⨀⨒=⫏≰-10022011","layer":1},{"info":"⫏≰21210112⇷⫏≰2201220=⫏≰12110210","layer":3},{"info":"⫏≰11012111⇻⋧≁⫏≰1122010=⫏≰-121120","layer":3},{"info":"⫏≰12110210⋷⫏≰-121120=⫏≰-20200220","layer":2},{"info":"⫏≰2020022⩒⫫⫏≰1120201=⫏≰1211010","layer":3},{"info":"⫏≰20222001∥⊢⊲⫏≰11212002=NaN","layer":3},{"info":"⫏≰1211010⊉≛↸NaN=⫏≰10122020","layer":2},{"info":"⫏≰-20200220⊝⪿⪼⫏≰10122020=⫏≰-10012212111","layer":1},{"info":"⫏≰-10022011⪪⫏≰-10012212111=⫏≰-10200121111110200","layer":0}]}
{"id":922,"expression_no_base_symbol":"((⇈$1210$)∠⫱(≻⋜$2159$))⪍↜⋙(∂⩏⊆$7582$+⇶⊼$2517$)⋓((⫇$7827$)⨔⇊($1031$⫢⨠$4615$)⩷∴(⊥($1303$-$6250$)))","expression":"((⇈⫏≰1122211)∠⫱(≻⋜⫏≰2221222))⪍↜⋙(∂⩏⊆⫏≰101101211+⇶⊼⫏≰10110020)⋓((⫇⫏≰101201220)⨔⇊(⫏≰1102012⫢⨠⫏≰20022221)⩷∴(⊥(⫏≰1210021-⫏≰22120111)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11220,"operation_count":13,"complexity_ratio":863.0769230769231,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1210,"base":3}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2159,"base":3}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7582,"base":3},"right_expr":{"type":"numeric_atoms","value":2517,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":7827,"base":3}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1031,"base":3},"right_expr":{"type":"numeric_atoms","value":4615,"base":3}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1303,"base":3},"right_expr":{"type":"numeric_atoms","value":6250,"base":3}}}}},"used_operators":["T2fj7uvVaJ","L05ObWFQCd","QvoQhV0rrE","SLLxy00UIr","3tj9sqzovi","8WDwsbhb0R","TpPTUOHfaN","9FxExcQeMw","JclMnS0uGI","YjI8oCXuph","xlXykHWxX1","Q3PJZHRvZv","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","14qkJME0vr","eLAdDNolq6","AHs5Up7iyr","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=2159","layer":4},{"info":"compute unary expreesion, input=2159, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=7582","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=7582, right_input=2517, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"number node, value=7827","layer":4},{"info":"compute unary expreesion, input=7827, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-14440","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=4615, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-14440, right_input=160, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=160","layer":2},{"info":"number node, value=1303","layer":4},{"info":"number node, value=6250","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=6250, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4947","layer":3},{"info":"compute unary expreesion, input=-4947, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⇈⫏≰1122211)∠⫱(≻⋜⫏≰2221222))⪍↜⋙(∂⩏⊆⫏≰101101211+⇶⊼⫏≰10110020)⋓((⫇⫏≰101201220)⨔⇊(⫏≰1102012⫢⨠⫏≰20022221)⩷∴(⊥(⫏≰1210021-⫏≰22120111)))=NaN","reverse_text":"NaN=((⇈⫏≰1122211)∠⫱(≻⋜⫏≰2221222))⪍↜⋙(∂⩏⊆⫏≰101101211+⇶⊼⫏≰10110020)⋓((⫇⫏≰101201220)⨔⇊(⫏≰1102012⫢⨠⫏≰20022221)⩷∴(⊥(⫏≰1210021-⫏≰22120111)))","cot":[{"info":"⇈⫏≰1122211=⫏≰-121120","layer":3},{"info":"≻⋜⫏≰2221222=NaN","layer":3},{"info":"⫏≰-121120∠⫱NaN=NaN","layer":2},{"info":"⫏≰101101211+⇶⊼⫏≰10110020=NaN","layer":3},{"info":"∂⩏⊆NaN=NaN","layer":2},{"info":"NaN⪍↜⋙NaN=NaN","layer":1},{"info":"⫇⫏≰101201220=⫏≰-201210211","layer":3},{"info":"⫏≰1102012⫢⨠⫏≰20022221=⫏≰12221","layer":3},{"info":"⫏≰-201210211⨔⇊⫏≰12221=⫏≰12221","layer":2},{"info":"⫏≰1210021-⫏≰22120111=⫏≰-20210020","layer":3},{"info":"⊥⫏≰-20210020=NaN","layer":2},{"info":"⫏≰12221⩷∴NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"($4220$≠≀$1307$⪉⨛(⇋↷$1096$))+⇶⊼($4571$⨰$4225$∝($4475$-$1808$))⩺⪪($7842$⪢$2602$∠⫱$2176$∴$2649$⪉⨛($5332$⨲)⋹⋡⊁($1823$⊬⫿⊭))","expression":"(⫏≰12210022≠≀⫏≰1210102⪉⨛(⇋↷⫏≰1111121))+⇶⊼(⫏≰20021022⨰⫏≰12210111∝(⫏≰20010202-⫏≰2110222))⩺⪪(⫏≰101202110⪢⫏≰10120101∠⫱⫏≰2222121∴⫏≰10122010⪉⨛(⫏≰21022111⨲)⋹⋡⊁(⫏≰2111112⊬⫿⊭))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":813590,"operation_count":15,"complexity_ratio":54239.333333333336,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4220,"base":3},"right_expr":{"type":"numeric_atoms","value":1307,"base":3}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1096,"base":3}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4571,"base":3},"right_expr":{"type":"numeric_atoms","value":4225,"base":3}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4475,"base":3},"right_expr":{"type":"numeric_atoms","value":1808,"base":3}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7842,"base":3},"right_expr":{"type":"numeric_atoms","value":2602,"base":3}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2176,"base":3},"right_expr":{"type":"numeric_atoms","value":2649,"base":3}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":5332,"base":3}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":1823,"base":3}}}}},"used_operators":["uvdQJvN4PV","TpPTUOHfaN","EWw2JM7wp4","IwW236VD4Y","SWo3A1KBJH","cTDWOvIxvz","eewbuw0ToL","rysDP5nf3Z","QvoQhV0rrE","dWAJyo7jo9","hrf7POJlIJ","As8RqfVLgs","nLYMGWM7L8","v0DYgG9ikt"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","AHs5Up7iyr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","k8jYdgA6NY","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4220","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=4220, right_input=1307, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8134","layer":3},{"info":"number node, value=1096","layer":4},{"info":"compute unary expreesion, input=1096, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=8768","layer":3},{"info":"compute binary expreesion, left_input=-8134, right_input=8768, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-50491","layer":2},{"info":"number node, value=4571","layer":4},{"info":"number node, value=4225","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=4225, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=356","layer":3},{"info":"number node, value=4475","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=4475, right_input=1808, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2667","layer":3},{"info":"compute binary expreesion, left_input=356, right_input=2667, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=361","layer":2},{"info":"compute binary expreesion, left_input=-50491, right_input=361, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=7842","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=7842, right_input=2602, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2176","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=2649, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6000","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6000, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=5332","layer":4},{"info":"compute unary expreesion, input=5332, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=948510733","layer":3},{"info":"number node, value=1823","layer":4},{"info":"compute unary expreesion, input=1823, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-5469","layer":3},{"info":"compute binary expreesion, left_input=948510733, right_input=-5469, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=inf, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12210022≠≀⫏≰1210102⪉⨛(⇋↷⫏≰1111121))+⇶⊼(⫏≰20021022⨰⫏≰12210111∝(⫏≰20010202-⫏≰2110222))⩺⪪(⫏≰101202110⪢⫏≰10120101∠⫱⫏≰2222121∴⫏≰10122010⪉⨛(⫏≰21022111⨲)⋹⋡⊁(⫏≰2111112⊬⫿⊭))=NaN","reverse_text":"NaN=(⫏≰12210022≠≀⫏≰1210102⪉⨛(⇋↷⫏≰1111121))+⇶⊼(⫏≰20021022⨰⫏≰12210111∝(⫏≰20010202-⫏≰2110222))⩺⪪(⫏≰101202110⪢⫏≰10120101∠⫱⫏≰2222121∴⫏≰10122010⪉⨛(⫏≰21022111⨲)⋹⋡⊁(⫏≰2111112⊬⫿⊭))","cot":[{"info":"⫏≰12210022≠≀⫏≰1210102=⫏≰-102011021","layer":3},{"info":"⇋↷⫏≰1111121=⫏≰110000202","layer":3},{"info":"⫏≰-102011021⪉⨛⫏≰110000202=⫏≰-2120021001","layer":2},{"info":"⫏≰20021022⨰⫏≰12210111=⫏≰111012","layer":3},{"info":"⫏≰20010202-⫏≰2110222=⫏≰10122210","layer":3},{"info":"⫏≰111012∝⫏≰10122210=⫏≰111101","layer":2},{"info":"⫏≰-2120021001+⇶⊼⫏≰111101=NaN","layer":1},{"info":"⫏≰101202110⪢⫏≰10120101=NaN","layer":3},{"info":"⫏≰2222121∴⫏≰10122010=⫏≰22020020","layer":3},{"info":"NaN∠⫱⫏≰22020020=⫏≰1200201","layer":2},{"info":"⫏≰21022111⨲=⫏≰2110002210100010011","layer":3},{"info":"⫏≰2111112⊬⫿⊭=⫏≰-21111120","layer":3},{"info":"⫏≰2110002210100010011⋹⋡⊁⫏≰-21111120=Inf","layer":2},{"info":"⫏≰1200201⪉⨛Inf=-Inf","layer":1},{"info":"NaN⩺⪪-Inf=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"⇋↷((⊥($3458$⋭≵$1466$))⊔$1721$⋹⋡⊁$5788$⨪↰⇹(⇖⫷⫕$1794$))","expression":"⇋↷((⊥(⫏≰11202002⋭≵⫏≰2000022))⊔⫏≰2100202⋹⋡⊁⫏≰21221101⨪↰⇹(⇖⫷⫕⫏≰2110110))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":74786,"operation_count":7,"complexity_ratio":10683.714285714286,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3458,"base":3},"right_expr":{"type":"numeric_atoms","value":1466,"base":3}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1721,"base":3},"right_expr":{"type":"numeric_atoms","value":5788,"base":3}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1794,"base":3}}}}},"used_operators":["SWo3A1KBJH","E4l6HwMY31","Q3PJZHRvZv","jBncVCNhdl","tmPS8pqC7x","As8RqfVLgs","UHmRx3INFg"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","fu6greOZ01","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rJVOvQCfKK","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"⫏≰110020212100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3458","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=3458, right_input=1466, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-70","layer":2},{"info":"number node, value=1721","layer":4},{"info":"number node, value=5788","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=5788, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6538","layer":3},{"info":"number node, value=1794","layer":4},{"info":"compute unary expreesion, input=1794, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=6538, right_input=2822, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6538","layer":2},{"info":"compute binary expreesion, left_input=-70, right_input=6538, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=30150","layer":1},{"info":"compute unary expreesion, input=30150, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=241200","layer":0}],"base":3,"result_base":3,"text":"⇋↷((⊥(⫏≰11202002⋭≵⫏≰2000022))⊔⫏≰2100202⋹⋡⊁⫏≰21221101⨪↰⇹(⇖⫷⫕⫏≰2110110))=⫏≰110020212100","reverse_text":"⫏≰110020212100=⇋↷((⊥(⫏≰11202002⋭≵⫏≰2000022))⊔⫏≰2100202⋹⋡⊁⫏≰21221101⨪↰⇹(⇖⫷⫕⫏≰2110110))","cot":[{"info":"⫏≰11202002⋭≵⫏≰2000022=⫏≰2111","layer":3},{"info":"⊥⫏≰2111=⫏≰-2121","layer":2},{"info":"⫏≰2100202⋹⋡⊁⫏≰21221101=⫏≰22222011","layer":3},{"info":"⇖⫷⫕⫏≰2110110=⫏≰10212112","layer":3},{"info":"⫏≰22222011⨪↰⇹⫏≰10212112=⫏≰22222011","layer":2},{"info":"⫏≰-2121⊔⫏≰22222011=⫏≰1112100200","layer":1},{"info":"⇋↷⫏≰1112100200=⫏≰110020212100","layer":0}]}
{"id":925,"expression_no_base_symbol":"($3847$↬$1212$)⨑⩅≇($7737$⩷∴$1219$)≥⨤⩑($4421$⊉≛↸$4215$)⪚($6385$≀⫉$1074$)↙($8696$⨔≚≋$1877$⨸⪁(≅≯⇸$3531$))⋥⋵⩄$1209$⪬$2673$⩖⊿($2325$⪒$1901$)","expression":"(⫏≰12021111↬⫏≰1122220)⨑⩅≇(⫏≰101121120⩷∴⫏≰1200011)≥⨤⩑(⫏≰20001202⊉≛↸⫏≰12210010)⪚(⫏≰22202111≀⫉⫏≰1110210)↙(⫏≰102221002⨔≚≋⫏≰2120112⨸⪁(≅≯⇸⫏≰11211210))⋥⋵⩄⫏≰1122210⪬⫏≰10200000⩖⊿(⫏≰10012010⪒⫏≰2121102)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":261001,"operation_count":15,"complexity_ratio":17400.066666666666,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3847,"base":3},"right_expr":{"type":"numeric_atoms","value":1212,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7737,"base":3},"right_expr":{"type":"numeric_atoms","value":1219,"base":3}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4421,"base":3},"right_expr":{"type":"numeric_atoms","value":4215,"base":3}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6385,"base":3},"right_expr":{"type":"numeric_atoms","value":1074,"base":3}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":8696,"base":3},"right_expr":{"type":"numeric_atoms","value":1877,"base":3}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3531,"base":3}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1209,"base":3},"right_expr":{"type":"numeric_atoms","value":2673,"base":3}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2325,"base":3},"right_expr":{"type":"numeric_atoms","value":1901,"base":3}}}}},"used_operators":["yyfyN0ffXY","gJLn6v0xnP","h92wMvzauj","B5M0gjZbta","9FxExcQeMw","HrjLwUk87U","DZ8iAZOCBD","oZj3VtZNQx","7t3wd0Fuz7","g55IO6H4Gj","Z57zeUYC9z","apS25hmuAe","RZ5CV9rWsJ","Ez1Nq5fNfI","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rGHVDoGpnC","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","EBcxylXtPf","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-1110122001120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3847","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3847, right_input=1212, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=7737","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=7737, right_input=1219, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13004","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13004, 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":2},{"info":"number node, value=4421","layer":4},{"info":"number node, value=4215","layer":4},{"info":"compute binary expreesion, left_input=4421, right_input=4215, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8842","layer":3},{"info":"number node, value=6385","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=6385, right_input=1074, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=8842, right_input=2822, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=11684","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=11684, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=8696","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=8696, right_input=1877, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=3531","layer":4},{"info":"compute unary expreesion, input=3531, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=21801","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=21801, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=63346","layer":2},{"info":"number node, value=1209","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2673, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=2325","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=1901, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4226","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-4226, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-38826","layer":2},{"info":"compute binary expreesion, left_input=63346, right_input=-38826, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=260024","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=260024, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-780072","layer":0}],"base":3,"result_base":3,"text":"(⫏≰12021111↬⫏≰1122220)⨑⩅≇(⫏≰101121120⩷∴⫏≰1200011)≥⨤⩑(⫏≰20001202⊉≛↸⫏≰12210010)⪚(⫏≰22202111≀⫉⫏≰1110210)↙(⫏≰102221002⨔≚≋⫏≰2120112⨸⪁(≅≯⇸⫏≰11211210))⋥⋵⩄⫏≰1122210⪬⫏≰10200000⩖⊿(⫏≰10012010⪒⫏≰2121102)=⫏≰-1110122001120","reverse_text":"⫏≰-1110122001120=(⫏≰12021111↬⫏≰1122220)⨑⩅≇(⫏≰101121120⩷∴⫏≰1200011)≥⨤⩑(⫏≰20001202⊉≛↸⫏≰12210010)⪚(⫏≰22202111≀⫉⫏≰1110210)↙(⫏≰102221002⨔≚≋⫏≰2120112⨸⪁(≅≯⇸⫏≰11211210))⋥⋵⩄⫏≰1122210⪬⫏≰10200000⩖⊿(⫏≰10012010⪒⫏≰2121102)","cot":[{"info":"⫏≰12021111↬⫏≰1122220=NaN","layer":3},{"info":"⫏≰101121120⩷∴⫏≰1200011=⫏≰122211122","layer":3},{"info":"NaN⨑⩅≇⫏≰122211122=⫏≰1021122","layer":2},{"info":"⫏≰20001202⊉≛↸⫏≰12210010=⫏≰110010111","layer":3},{"info":"⫏≰22202111≀⫉⫏≰1110210=⫏≰10212112","layer":3},{"info":"⫏≰110010111⪚⫏≰10212112=⫏≰121000202","layer":2},{"info":"⫏≰1021122≥⨤⩑⫏≰121000202=⫏≰1200201","layer":1},{"info":"⫏≰102221002⨔≚≋⫏≰2120112=⫏≰111112122","layer":3},{"info":"≅≯⇸⫏≰11211210=⫏≰1002220110","layer":3},{"info":"⫏≰111112122⨸⪁⫏≰1002220110=⫏≰10012220011","layer":2},{"info":"⫏≰1122210⪬⫏≰10200000=⫏≰1200201","layer":3},{"info":"⫏≰10012010⪒⫏≰2121102=⫏≰-12210112","layer":3},{"info":"⫏≰1200201⩖⊿⫏≰-12210112=⫏≰-1222021000","layer":2},{"info":"⫏≰10012220011⋥⋵⩄⫏≰-1222021000=⫏≰111012200112","layer":1},{"info":"⫏≰1200201↙⫏≰111012200112=⫏≰-1110122001120","layer":0}]}
{"id":926,"expression_no_base_symbol":"⨵≀≌(⨡↴$8033$⩒⫫$1011$)∋(⩦⊞($3756$⫩))","expression":"⨵≀≌(⨡↴⫏≰102000112⩒⫫⫏≰1101110)∋(⩦⊞(⫏≰12011010⫩))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":93578,"operation_count":6,"complexity_ratio":15596.333333333334,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":8033,"base":3},"right_expr":{"type":"numeric_atoms","value":1011,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":3756,"base":3}}}}},"used_operators":["srAu1WTS94","ukq6epAj5P","liw5iZPkLH","KFSx94NKJn","u7fv1HBiaC","6aG7x05OhS"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","P8v4zCKN1o","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","dWAJyo7jo9"],"result":"Inf","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=8033","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=8033, right_input=1011, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7731","layer":3},{"info":"compute unary expreesion, input=7731, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=8780","layer":2},{"info":"number node, value=3756","layer":4},{"info":"compute unary expreesion, input=3756, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8780, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-89744","layer":1},{"info":"compute unary expreesion, input=-89744, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":0}],"base":3,"result_base":3,"text":"⨵≀≌(⨡↴⫏≰102000112⩒⫫⫏≰1101110)∋(⩦⊞(⫏≰12011010⫩))=Inf","reverse_text":"Inf=⨵≀≌(⨡↴⫏≰102000112⩒⫫⫏≰1101110)∋(⩦⊞(⫏≰12011010⫩))","cot":[{"info":"⫏≰102000112⩒⫫⫏≰1101110=⫏≰101121100","layer":3},{"info":"⨡↴⫏≰101121100=⫏≰110001012","layer":2},{"info":"⫏≰12011010⫩=NaN","layer":3},{"info":"⩦⊞NaN=NaN","layer":2},{"info":"⫏≰110001012∋NaN=⫏≰-11120002212","layer":1},{"info":"⨵≀≌⫏≰-11120002212=Inf","layer":0}]}
{"id":927,"expression_no_base_symbol":"⨈⪑(⊙↵-(⪨⨬($7036$⪥⨬⪅)))","expression":"⨈⪑(⊙↵-(⪨⨬(⫏≰100122121⪥⨬⪅)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":761,"operation_count":4,"complexity_ratio":190.25,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":7036,"base":3}}}}},"used_operators":["mp94q5OcYM","oWn0xqSxBt","5obUd6DV38","zNRQejTB5A"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","T2fj7uvVaJ","nlCqmYiOvY","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW"],"result":"⫏≰1012011","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7036","layer":4},{"info":"compute unary expreesion, input=7036, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"compute unary expreesion, input=196, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":3,"result_base":3,"text":"⨈⪑(⊙↵-(⪨⨬(⫏≰100122121⪥⨬⪅)))=⫏≰1012011","reverse_text":"⫏≰1012011=⨈⪑(⊙↵-(⪨⨬(⫏≰100122121⪥⨬⪅)))","cot":[{"info":"⫏≰100122121⪥⨬⪅=⫏≰-122112","layer":3},{"info":"⪨⨬⫏≰-122112=⫏≰-201111","layer":2},{"info":"⊙↵-⫏≰-201111=⫏≰21021","layer":1},{"info":"⨈⪑⫏≰21021=⫏≰1012011","layer":0}]}
{"id":928,"expression_no_base_symbol":"(↑($1935$⊉↱≁$4007$⪭($5684$⩒⫫$5434$)))⩹($2540$∇⊂⋱$3542$)⪒⊣⊆($1897$≧⫂∧$2612$)⇴∐($1608$⨚$7159$)↞⋁($1087$⪁$3622$)","expression":"(↑(⫏≰2122200⊉↱≁⫏≰12111102⪭(⫏≰21210112⩒⫫⫏≰21110021)))⩹(⫏≰10111002∇⊂⋱⫏≰11212012)⪒⊣⊆(⫏≰2121021≧⫂∧⫏≰10120202)⇴∐(⫏≰2012120⨚⫏≰100211011)↞⋁(⫏≰1111021⪁⫏≰11222011)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":161316938,"operation_count":12,"complexity_ratio":13443078.166666666,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1935,"base":3},"right_expr":{"type":"numeric_atoms","value":4007,"base":3}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5684,"base":3},"right_expr":{"type":"numeric_atoms","value":5434,"base":3}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2540,"base":3},"right_expr":{"type":"numeric_atoms","value":3542,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1897,"base":3},"right_expr":{"type":"numeric_atoms","value":2612,"base":3}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1608,"base":3},"right_expr":{"type":"numeric_atoms","value":7159,"base":3}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1087,"base":3},"right_expr":{"type":"numeric_atoms","value":3622,"base":3}}}}},"used_operators":["2Wsdkap16l","tR7O2zTn5j","j9kHMeSvPp","w2P8NbNXyL","KFSx94NKJn","HnzytWxmAO","eRqsBgTDFp","nhYeJWJD5X","Ph9nP6C5qx","RqrPlJkxDo","nREPSIbpBE","I7sXao9hZE"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","sdazOOVcIp","W4YGzv6Whe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","BjRHVeLaeN","12rbrZMWeM","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1935","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=4007, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-5806","layer":3},{"info":"number node, value=5684","layer":4},{"info":"number node, value=5434","layer":4},{"info":"compute binary expreesion, left_input=5684, right_input=5434, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5382","layer":3},{"info":"compute binary expreesion, left_input=-5806, right_input=5382, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5632","layer":2},{"info":"compute unary expreesion, input=5632, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=2540","layer":4},{"info":"number node, value=3542","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=3542, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4534","layer":3},{"info":"number node, value=1897","layer":4},{"info":"number node, value=2612","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=2612, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2139","layer":3},{"info":"compute binary expreesion, left_input=4534, right_input=2139, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9068","layer":2},{"info":"number node, value=1608","layer":4},{"info":"number node, value=7159","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=7159, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-24486","layer":3},{"info":"number node, value=1087","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=3622, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-24486, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9068, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, 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=nan","layer":0}],"base":3,"result_base":3,"text":"(↑(⫏≰2122200⊉↱≁⫏≰12111102⪭(⫏≰21210112⩒⫫⫏≰21110021)))⩹(⫏≰10111002∇⊂⋱⫏≰11212012)⪒⊣⊆(⫏≰2121021≧⫂∧⫏≰10120202)⇴∐(⫏≰2012120⨚⫏≰100211011)↞⋁(⫏≰1111021⪁⫏≰11222011)=NaN","reverse_text":"NaN=(↑(⫏≰2122200⊉↱≁⫏≰12111102⪭(⫏≰21210112⩒⫫⫏≰21110021)))⩹(⫏≰10111002∇⊂⋱⫏≰11212012)⪒⊣⊆(⫏≰2121021≧⫂∧⫏≰10120202)⇴∐(⫏≰2012120⨚⫏≰100211011)↞⋁(⫏≰1111021⪁⫏≰11222011)","cot":[{"info":"⫏≰2122200⊉↱≁⫏≰12111102=⫏≰-21222001","layer":3},{"info":"⫏≰21210112⩒⫫⫏≰21110021=⫏≰21101100","layer":3},{"info":"⫏≰-21222001⪭⫏≰21101100=⫏≰21201121","layer":2},{"info":"↑⫏≰21201121=⫏≰21010","layer":1},{"info":"⫏≰10111002∇⊂⋱⫏≰11212012=⫏≰20012221","layer":3},{"info":"⫏≰2121021≧⫂∧⫏≰10120202=⫏≰2221020","layer":3},{"info":"⫏≰20012221⪒⊣⊆⫏≰2221020=⫏≰110102212","layer":2},{"info":"⫏≰2012120⨚⫏≰100211011=⫏≰-1020120220","layer":3},{"info":"⫏≰1111021⪁⫏≰11222011=NaN","layer":3},{"info":"⫏≰-1020120220↞⋁NaN=NaN","layer":2},{"info":"⫏≰110102212⇴∐NaN=NaN","layer":1},{"info":"⫏≰21010⩹NaN=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"⇈((($1833$∘$6296$)⨲∙)⨳⩥⨓($3389$⪮%⊝$8507$)⇡⇂($1422$⪪$3809$))","expression":"⇈(((⫏≰2111220∘⫏≰22122012)⨲∙)⨳⩥⨓(⫏≰11122112⪮%⊝⫏≰102200002)⇡⇂(⫏≰1221200⪪⫏≰12020002))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1912706,"operation_count":7,"complexity_ratio":273243.71428571426,"tree":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1833,"base":3},"right_expr":{"type":"numeric_atoms","value":6296,"base":3}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3389,"base":3},"right_expr":{"type":"numeric_atoms","value":8507,"base":3}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1422,"base":3},"right_expr":{"type":"numeric_atoms","value":3809,"base":3}}}}},"used_operators":["SLLxy00UIr","nCS4ZIUYfx","cRahaglYVE","Z5m6OM72h2","UMwdvZNt44","IWmyXbctLI","xD69zh8xqp"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","rysDP5nf3Z","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","FU0Cs4j7VP","JclMnS0uGI"],"result":"⫏≰-121120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1833","layer":4},{"info":"number node, value=6296","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=6296, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3666","layer":3},{"info":"compute unary expreesion, input=3666, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=47628270","layer":2},{"info":"number node, value=3389","layer":4},{"info":"number node, value=8507","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=8507, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7094","layer":3},{"info":"number node, value=1422","layer":4},{"info":"number node, value=3809","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=3809, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-210811","layer":3},{"info":"compute binary expreesion, left_input=7094, right_input=-210811, 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":2},{"info":"compute binary expreesion, left_input=47628270, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":3,"result_base":3,"text":"⇈(((⫏≰2111220∘⫏≰22122012)⨲∙)⨳⩥⨓(⫏≰11122112⪮%⊝⫏≰102200002)⇡⇂(⫏≰1221200⪪⫏≰12020002))=⫏≰-121120","reverse_text":"⫏≰-121120=⇈(((⫏≰2111220∘⫏≰22122012)⨲∙)⨳⩥⨓(⫏≰11122112⪮%⊝⫏≰102200002)⇡⇂(⫏≰1221200⪪⫏≰12020002))","cot":[{"info":"⫏≰2111220∘⫏≰22122012=⫏≰12000210","layer":3},{"info":"⫏≰12000210⨲∙=⫏≰10022121202201000","layer":2},{"info":"⫏≰11122112⪮%⊝⫏≰102200002=⫏≰100201202","layer":3},{"info":"⫏≰1221200⪪⫏≰12020002=⫏≰-101201011211","layer":3},{"info":"⫏≰100201202⇡⇂⫏≰-101201011211=NaN","layer":2},{"info":"⫏≰10022121202201000⨳⩥⨓NaN=NaN","layer":1},{"info":"⇈NaN=⫏≰-121120","layer":0}]}
{"id":930,"expression_no_base_symbol":"(∷≠(↸⊣$4027$↤⩊$1774$))∌↝(($2344$≨$1144$)⫁$2449$⨂≜$3234$⇽⩪)","expression":"(∷≠(↸⊣⫏≰12112011↤⩊⫏≰2102201))∌↝((⫏≰10012211≨⫏≰1120101)⫁⫏≰10100201⨂≜⫏≰11102210⇽⩪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2850,"operation_count":8,"complexity_ratio":356.25,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4027,"base":3},"right_expr":{"type":"numeric_atoms","value":1774,"base":3}}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2344,"base":3},"right_expr":{"type":"numeric_atoms","value":1144,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2449,"base":3},"right_expr":{"type":"numeric_atoms","value":3234,"base":3}}}}},"used_operators":["9Isq31Ruls","QiR2Oyf5Xj","wztAlM01eG","13rbtpv6ld","FonBHBYJbU","0ajvFaJAv0","0KMCeP1Jsh","k1SHOSEABc"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","cHh1gJQ2o6","AHs5Up7iyr","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4027","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=4027, right_input=1774, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":1},{"info":"number node, value=2344","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=1144, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-20964","layer":3},{"info":"number node, value=2449","layer":4},{"info":"number node, value=3234","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=3234, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-20964, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-118","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-118, 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":3,"result_base":3,"text":"(∷≠(↸⊣⫏≰12112011↤⩊⫏≰2102201))∌↝((⫏≰10012211≨⫏≰1120101)⫁⫏≰10100201⨂≜⫏≰11102210⇽⩪)=NaN","reverse_text":"NaN=(∷≠(↸⊣⫏≰12112011↤⩊⫏≰2102201))∌↝((⫏≰10012211≨⫏≰1120101)⫁⫏≰10100201⨂≜⫏≰11102210⇽⩪)","cot":[{"info":"⫏≰12112011↤⩊⫏≰2102201=NaN","layer":3},{"info":"↸⊣NaN=NaN","layer":2},{"info":"∷≠NaN=NaN","layer":1},{"info":"⫏≰10012211≨⫏≰1120101=⫏≰-1001202110","layer":3},{"info":"⫏≰10100201⨂≜⫏≰11102210=NaN","layer":3},{"info":"⫏≰-1001202110⫁NaN=⫏≰12221","layer":2},{"info":"⫏≰12221⇽⩪=⫏≰-11101","layer":1},{"info":"NaN∌↝⫏≰-11101=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"⊵⊁(⇐(($1138$⊋$1600$)↓($2560$⪃↞⩐)))","expression":"⊵⊁(⇐((⫏≰1120011⊋⫏≰2012021)↓(⫏≰10111211⪃↞⩐)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":221250,"operation_count":5,"complexity_ratio":44250.0,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1138,"base":3},"right_expr":{"type":"numeric_atoms","value":1600,"base":3}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":2560,"base":3}}}}},"used_operators":["AvED76WdY7","nmZMaaE0Q9","Af076pWI7l","W4tP9CfskL","grXIztHqDa"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1600, 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=-5141988","layer":3},{"info":"number node, value=2560","layer":4},{"info":"compute unary expreesion, input=2560, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=15666","layer":3},{"info":"compute binary expreesion, left_input=-5141988, right_input=15666, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"⊵⊁(⇐((⫏≰1120011⊋⫏≰2012021)↓(⫏≰10111211⪃↞⩐)))=⫏≰0","reverse_text":"⫏≰0=⊵⊁(⇐((⫏≰1120011⊋⫏≰2012021)↓(⫏≰10111211⪃↞⩐)))","cot":[{"info":"⫏≰1120011⊋⫏≰2012021=⫏≰-100200020111000","layer":3},{"info":"⫏≰10111211⪃↞⩐=⫏≰210111020","layer":3},{"info":"⫏≰-100200020111000↓⫏≰210111020=⫏≰-11222","layer":2},{"info":"⇐⫏≰-11222=⫏≰-100122","layer":1},{"info":"⊵⊁⫏≰-100122=⫏≰0","layer":0}]}
{"id":932,"expression_no_base_symbol":"($5144$⪬$1842$⇩)⫗⊷⫓(⩦⊞$3789$⪎↠$1567$)≨($6293$≁↽≥$2045$⨂≜($1395$∕⩚$5576$)⊭↱((⫟$6443$)≫≃))","expression":"(⫏≰21001112⪬⫏≰2112020⇩)⫗⊷⫓(⩦⊞⫏≰12012100⪎↠⫏≰2011001)≨(⫏≰22122002≁↽≥⫏≰2210202⨂≜(⫏≰1220200∕⩚⫏≰21122112)⊭↱((⫟⫏≰22211122)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":295625,"operation_count":12,"complexity_ratio":24635.416666666668,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5144,"base":3},"right_expr":{"type":"numeric_atoms","value":1842,"base":3}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3789,"base":3},"right_expr":{"type":"numeric_atoms","value":1567,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6293,"base":3},"right_expr":{"type":"numeric_atoms","value":2045,"base":3}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1395,"base":3},"right_expr":{"type":"numeric_atoms","value":5576,"base":3}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":6443,"base":3}}}}},"used_operators":["0KMCeP1Jsh","zashukvMKz","vRio1gEz1j","Ez1Nq5fNfI","u7fv1HBiaC","3tVxb0NHM4","COABgblf1C","k1SHOSEABc","ncHt1X6cMc","z9ffQ9n5Zr","X99M06cbEe","z4E1FaHLuy"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","oWn0xqSxBt","3Oe9XWJUTD","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"⫏≰20022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5144","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=5144, right_input=1842, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1327","layer":2},{"info":"number node, value=3789","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=1567, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=264","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=264, 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=6293","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=6293, right_input=2045, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=87563","layer":3},{"info":"number node, value=1395","layer":4},{"info":"number node, value=5576","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=5576, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1398","layer":3},{"info":"compute binary expreesion, left_input=87563, right_input=-1398, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=6443","layer":4},{"info":"compute unary expreesion, input=6443, 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=-18422","layer":3},{"info":"compute unary expreesion, input=-18422, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-35443","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-35443, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=170","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21001112⪬⫏≰2112020⇩)⫗⊷⫓(⩦⊞⫏≰12012100⪎↠⫏≰2011001)≨(⫏≰22122002≁↽≥⫏≰2210202⨂≜(⫏≰1220200∕⩚⫏≰21122112)⊭↱((⫟⫏≰22211122)≫≃))=⫏≰20022","reverse_text":"⫏≰20022=(⫏≰21001112⪬⫏≰2112020⇩)⫗⊷⫓(⩦⊞⫏≰12012100⪎↠⫏≰2011001)≨(⫏≰22122002≁↽≥⫏≰2210202⨂≜(⫏≰1220200∕⩚⫏≰21122112)⊭↱((⫟⫏≰22211122)≫≃))","cot":[{"info":"⫏≰21001112⪬⫏≰2112020=⫏≰1200201","layer":3},{"info":"⫏≰1200201⇩=⫏≰1211011","layer":2},{"info":"⫏≰12012100⪎↠⫏≰2011001=⫏≰12221","layer":3},{"info":"⩦⊞⫏≰12221=⫏≰100210","layer":2},{"info":"⫏≰1211011⫗⊷⫓⫏≰100210=⫏≰-11222","layer":1},{"info":"⫏≰22122002≁↽≥⫏≰2210202=⫏≰11110010002","layer":3},{"info":"⫏≰1220200∕⩚⫏≰21122112=⫏≰-1220210","layer":3},{"info":"⫏≰11110010002⨂≜⫏≰-1220210=NaN","layer":2},{"info":"⫟⫏≰22211122=⫏≰-221021022","layer":3},{"info":"⫏≰-221021022≫≃=⫏≰-1210121201","layer":2},{"info":"NaN⊭↱⫏≰-1210121201=NaN","layer":1},{"info":"⫏≰-11222≨NaN=⫏≰20022","layer":0}]}
{"id":933,"expression_no_base_symbol":"⊙↵-((∷≠(≤/$1994$))⨭⪣(⨵($1892$⫔⩽⩺$1186$)))","expression":"⊙↵-((∷≠(≤/⫏≰2201212))⨭⪣(⨵(⫏≰2121002⫔⩽⩺⫏≰1121221)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":170,"operation_count":6,"complexity_ratio":28.333333333333332,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1994,"base":3}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1892,"base":3},"right_expr":{"type":"numeric_atoms","value":1186,"base":3}}}}},"used_operators":["oWn0xqSxBt","kn8WO9XteQ","QiR2Oyf5Xj","eLAdDNolq6","Tl3Y52tvF8","i9eR4S00cU"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","7j4O788W3g","rysDP5nf3Z","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","Tw270M8GLb","fu6greOZ01"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1994","layer":4},{"info":"compute unary expreesion, input=1994, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1510","layer":3},{"info":"compute unary expreesion, input=-1510, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-1510","layer":2},{"info":"number node, value=1892","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=1892, right_input=1186, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1510, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":3,"result_base":3,"text":"⊙↵-((∷≠(≤/⫏≰2201212))⨭⪣(⨵(⫏≰2121002⫔⩽⩺⫏≰1121221)))=⫏≰0","reverse_text":"⫏≰0=⊙↵-((∷≠(≤/⫏≰2201212))⨭⪣(⨵(⫏≰2121002⫔⩽⩺⫏≰1121221)))","cot":[{"info":"≤/⫏≰2201212=⫏≰-2001221","layer":3},{"info":"∷≠⫏≰-2001221=⫏≰-2001221","layer":2},{"info":"⫏≰2121002⫔⩽⩺⫏≰1121221=NaN","layer":3},{"info":"⨵NaN=NaN","layer":2},{"info":"⫏≰-2001221⨭⪣NaN=⫏≰-210","layer":1},{"info":"⊙↵-⫏≰-210=⫏≰0","layer":0}]}
{"id":934,"expression_no_base_symbol":"(⨦⪝($2717$⫳≱↱$4396$))⨿($2633$≝⊿$3035$⨐⩸⫘$2411$⊕∕$1743$)⩒⫫(⩦⩻⨪$2942$≒∊$5244$)↤⩊(($1526$⊢)⨼⩣($3940$≃⋄))","expression":"(⨦⪝(⫏≰10201122⫳≱↱⫏≰20000211))⨿(⫏≰10121112≝⊿⫏≰11011102⨐⩸⫘⫏≰10022022⊕∕⫏≰2101120)⩒⫫(⩦⩻⨪⫏≰11000222≒∊⫏≰21012020)↤⩊((⫏≰2002112⊢)⨼⩣(⫏≰12101221≃⋄))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7009,"operation_count":13,"complexity_ratio":539.1538461538462,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2717,"base":3},"right_expr":{"type":"numeric_atoms","value":4396,"base":3}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2633,"base":3},"right_expr":{"type":"numeric_atoms","value":3035,"base":3}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2411,"base":3},"right_expr":{"type":"numeric_atoms","value":1743,"base":3}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2942,"base":3},"right_expr":{"type":"numeric_atoms","value":5244,"base":3}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1526,"base":3}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":3940,"base":3}}}}},"used_operators":["KFSx94NKJn","abYXlopdE0","SUjycxNXIR","ZvLB05nZmT","fu6greOZ01","OKKcZfAt5B","9cloC0Ngie","13rbtpv6ld","2td37pGCOC","5KTvxBwnZo","JxwMv5le6e","40aOVDgCDB","aN9a90urxU"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","3ViojmjbAp","12rbrZMWeM","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","uFcxV4UQCh","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2717","layer":4},{"info":"number node, value=4396","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=4396, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=2633","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=3035, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9236","layer":3},{"info":"number node, value=2411","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=1743, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2411","layer":3},{"info":"compute binary expreesion, left_input=-9236, right_input=2411, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=2942","layer":4},{"info":"number node, value=5244","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=5244, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2458","layer":3},{"info":"compute unary expreesion, input=-2458, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-2458","layer":2},{"info":"number node, value=1526","layer":4},{"info":"compute unary expreesion, input=1526, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1773","layer":3},{"info":"number node, value=3940","layer":4},{"info":"compute unary expreesion, input=3940, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=-1773, right_input=764, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2458, right_input=nan, 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=67, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⨦⪝(⫏≰10201122⫳≱↱⫏≰20000211))⨿(⫏≰10121112≝⊿⫏≰11011102⨐⩸⫘⫏≰10022022⊕∕⫏≰2101120)⩒⫫(⩦⩻⨪⫏≰11000222≒∊⫏≰21012020)↤⩊((⫏≰2002112⊢)⨼⩣(⫏≰12101221≃⋄))=NaN","reverse_text":"NaN=(⨦⪝(⫏≰10201122⫳≱↱⫏≰20000211))⨿(⫏≰10121112≝⊿⫏≰11011102⨐⩸⫘⫏≰10022022⊕∕⫏≰2101120)⩒⫫(⩦⩻⨪⫏≰11000222≒∊⫏≰21012020)↤⩊((⫏≰2002112⊢)⨼⩣(⫏≰12101221≃⋄))","cot":[{"info":"⫏≰10201122⫳≱↱⫏≰20000211=⫏≰-21120","layer":3},{"info":"⨦⪝⫏≰-21120=⫏≰-2120210","layer":2},{"info":"⫏≰10121112≝⊿⫏≰11011102=⫏≰-110200002","layer":3},{"info":"⫏≰10022022⊕∕⫏≰2101120=⫏≰10022022","layer":3},{"info":"⫏≰-110200002⨐⩸⫘⫏≰10022022=NaN","layer":2},{"info":"⫏≰-2120210⨿NaN=⫏≰2111","layer":1},{"info":"⫏≰11000222≒∊⫏≰21012020=⫏≰-10101001","layer":3},{"info":"⩦⩻⨪⫏≰-10101001=⫏≰-10101001","layer":2},{"info":"⫏≰2002112⊢=⫏≰-2102200","layer":3},{"info":"⫏≰12101221≃⋄=⫏≰1001022","layer":3},{"info":"⫏≰-2102200⨼⩣⫏≰1001022=NaN","layer":2},{"info":"⫏≰-10101001↤⩊NaN=NaN","layer":1},{"info":"⫏≰2111⩒⫫NaN=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"≱⇩⩕(($1034$∺≝⩲$3700$⨐⩸⫘$1680$⩘$3157$)⇟⨁⪰)","expression":"≱⇩⩕((⫏≰1102022∺≝⩲⫏≰12002001⨐⩸⫘⫏≰2022020⩘⫏≰11022221)⇟⨁⪰)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26691,"operation_count":5,"complexity_ratio":5338.2,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1034,"base":3},"right_expr":{"type":"numeric_atoms","value":3700,"base":3}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1680,"base":3},"right_expr":{"type":"numeric_atoms","value":3157,"base":3}}}}},"used_operators":["3DZMoQKiUl","BX1lVwlMe0","fu6greOZ01","KPf6cnQVty","cHh1gJQ2o6"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","2DDjHMKMc0","xUOZtlo3hN","3ViojmjbAp","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⫏≰11012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3700, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1680","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=3157, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"compute unary expreesion, input=-163, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-11","layer":1},{"info":"compute unary expreesion, input=-11, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":0}],"base":3,"result_base":3,"text":"≱⇩⩕((⫏≰1102022∺≝⩲⫏≰12002001⨐⩸⫘⫏≰2022020⩘⫏≰11022221)⇟⨁⪰)=⫏≰11012","reverse_text":"⫏≰11012=≱⇩⩕((⫏≰1102022∺≝⩲⫏≰12002001⨐⩸⫘⫏≰2022020⩘⫏≰11022221)⇟⨁⪰)","cot":[{"info":"⫏≰1102022∺≝⩲⫏≰12002001=⫏≰12221","layer":3},{"info":"⫏≰2022020⩘⫏≰11022221=⫏≰12221","layer":3},{"info":"⫏≰12221⨐⩸⫘⫏≰12221=⫏≰-20001","layer":2},{"info":"⫏≰-20001⇟⨁⪰=⫏≰-102","layer":1},{"info":"≱⇩⩕⫏≰-102=⫏≰11012","layer":0}]}
{"id":936,"expression_no_base_symbol":"⇨($3534$⋹⋡⊁$2794$⫯⪬∳($1152$↼⊘⨖$1066$)⩏)","expression":"⇨(⫏≰11211220⋹⋡⊁⫏≰10211111⫯⪬∳(⫏≰1120200↼⊘⨖⫏≰1110111)⩏)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":63095,"operation_count":5,"complexity_ratio":12619.0,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3534,"base":3},"right_expr":{"type":"numeric_atoms","value":2794,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1152,"base":3},"right_expr":{"type":"numeric_atoms","value":1066,"base":3}}}}},"used_operators":["G9tJMlZ94a","iA2gmKZ3Wj","d7ASUq0ydm","As8RqfVLgs","bPywburJMS"],"dependent_operators":["k8jYdgA6NY","z6LnFrNh4i","Tcnh7f0tEr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3534","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=2794, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3544","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=1066, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1910","layer":3},{"info":"compute binary expreesion, left_input=3544, right_input=1910, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=15843","layer":2},{"info":"compute unary expreesion, input=15843, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇨(⫏≰11211220⋹⋡⊁⫏≰10211111⫯⪬∳(⫏≰1120200↼⊘⨖⫏≰1110111)⩏)=NaN","reverse_text":"NaN=⇨(⫏≰11211220⋹⋡⊁⫏≰10211111⫯⪬∳(⫏≰1120200↼⊘⨖⫏≰1110111)⩏)","cot":[{"info":"⫏≰11211220⋹⋡⊁⫏≰10211111=⫏≰11212021","layer":3},{"info":"⫏≰1120200↼⊘⨖⫏≰1110111=⫏≰2121202","layer":3},{"info":"⫏≰11212021⫯⪬∳⫏≰2121202=⫏≰210201210","layer":2},{"info":"⫏≰210201210⩏=⫏≰0","layer":1},{"info":"⇨⫏≰0=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"$5717$+⪬∐$1710$⋣⋖$3790$∺≝⩲$2895$⇷$2157$⪝$3565$≝⊿($4430$⇄$4500$)⪁(($6746$⊀⩕)⫚⫇)⊬⨰(($3317$↺$1602$)⩘($3556$⇴∐$4077$))","expression":"⫏≰21211202+⪬∐⫏≰2100100⋣⋖⫏≰12012101∺≝⩲⫏≰10222020⇷⫏≰2221220⪝⫏≰11220001≝⊿(⫏≰20002002⇄⫏≰20011200)⪁((⫏≰100020212⊀⩕)⫚⫇)⊬⨰((⫏≰11112212↺⫏≰2012100)⩘(⫏≰11212201⇴∐⫏≰12121000))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":244302,"operation_count":14,"complexity_ratio":17450.14285714286,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5717,"base":3},"right_expr":{"type":"numeric_atoms","value":1710,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3790,"base":3},"right_expr":{"type":"numeric_atoms","value":2895,"base":3}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2157,"base":3},"right_expr":{"type":"numeric_atoms","value":3565,"base":3}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4430,"base":3},"right_expr":{"type":"numeric_atoms","value":4500,"base":3}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":6746,"base":3}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3317,"base":3},"right_expr":{"type":"numeric_atoms","value":1602,"base":3}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3556,"base":3},"right_expr":{"type":"numeric_atoms","value":4077,"base":3}}}}},"used_operators":["I7sXao9hZE","mp7IySMOzn","J0M6qkBnIM","2GS7woTJqF","KPf6cnQVty","OKKcZfAt5B","wicAB68Tmb","3EYGwJThht","s3Fd5m9Dh2","SdCjLnB6rR","r0FS3hW4cC","cHh1gJQ2o6","7j4O788W3g","HnzytWxmAO"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","D4vGDi5EA2","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","rGHVDoGpnC","nhYeJWJD5X","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5717","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=5717, right_input=1710, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-17151","layer":3},{"info":"number node, value=3790","layer":4},{"info":"number node, value=2895","layer":4},{"info":"compute binary expreesion, left_input=3790, right_input=2895, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-17151, right_input=160, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-17151","layer":2},{"info":"number node, value=2157","layer":4},{"info":"number node, value=3565","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=3565, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=4430","layer":4},{"info":"number node, value=4500","layer":4},{"info":"compute binary expreesion, left_input=4430, right_input=4500, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-770","layer":2},{"info":"compute binary expreesion, left_input=-17151, right_input=-770, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=6746","layer":4},{"info":"compute unary expreesion, input=6746, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1468","layer":2},{"info":"number node, value=3317","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=3317, right_input=1602, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1602","layer":3},{"info":"number node, value=3556","layer":4},{"info":"number node, value=4077","layer":4},{"info":"compute binary expreesion, left_input=3556, right_input=4077, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1602, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-1468, right_input=160, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-2296","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2296, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⫏≰21211202+⪬∐⫏≰2100100⋣⋖⫏≰12012101∺≝⩲⫏≰10222020⇷⫏≰2221220⪝⫏≰11220001≝⊿(⫏≰20002002⇄⫏≰20011200)⪁((⫏≰100020212⊀⩕)⫚⫇)⊬⨰((⫏≰11112212↺⫏≰2012100)⩘(⫏≰11212201⇴∐⫏≰12121000))=NaN","reverse_text":"NaN=⫏≰21211202+⪬∐⫏≰2100100⋣⋖⫏≰12012101∺≝⩲⫏≰10222020⇷⫏≰2221220⪝⫏≰11220001≝⊿(⫏≰20002002⇄⫏≰20011200)⪁((⫏≰100020212⊀⩕)⫚⫇)⊬⨰((⫏≰11112212↺⫏≰2012100)⩘(⫏≰11212201⇴∐⫏≰12121000))","cot":[{"info":"⫏≰21211202+⪬∐⫏≰2100100=⫏≰-212112020","layer":3},{"info":"⫏≰12012101∺≝⩲⫏≰10222020=⫏≰12221","layer":3},{"info":"⫏≰-212112020⋣⋖⫏≰12221=⫏≰-212112020","layer":2},{"info":"⫏≰2221220⪝⫏≰11220001=⫏≰22210","layer":3},{"info":"⫏≰20002002⇄⫏≰20011200=⫏≰0","layer":3},{"info":"⫏≰22210≝⊿⫏≰0=⫏≰-1001112","layer":2},{"info":"⫏≰-212112020⇷⫏≰-1001112=NaN","layer":1},{"info":"⫏≰100020212⊀⩕=⫏≰0","layer":3},{"info":"⫏≰0⫚⫇=⫏≰-2000101","layer":2},{"info":"⫏≰11112212↺⫏≰2012100=⫏≰2012100","layer":3},{"info":"⫏≰11212201⇴∐⫏≰12121000=NaN","layer":3},{"info":"⫏≰2012100⩘NaN=⫏≰12221","layer":2},{"info":"⫏≰-2000101⊬⨰⫏≰12221=⫏≰-10011001","layer":1},{"info":"NaN⪁⫏≰-10011001=NaN","layer":0}]}
{"id":938,"expression_no_base_symbol":"($2922$⋹⋡⊁$1529$⫞⩸⩒($6428$⊨$5200$)⨒($6833$⫃⨇$2810$)⩘($8091$∀⋜↑))⪍↜⋙(⪝⪂⫅$3705$)⨸($1701$⨁⊸⫻)↓($2490$⨰$5290$≬⋮$7621$⪛$1048$)","expression":"(⫏≰11000020⋹⋡⊁⫏≰2002122⫞⩸⩒(⫏≰22211002⊨⫏≰21010121)⨒(⫏≰100101002⫃⨇⫏≰10212002)⩘(⫏≰102002200∀⋜↑))⪍↜⋙(⪝⪂⫅⫏≰12002020)⨸(⫏≰2100000⨁⊸⫻)↓(⫏≰10102020⨰⫏≰21020221≬⋮⫏≰101110021⪛⫏≰1102211)","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":653883,"operation_count":15,"complexity_ratio":43592.2,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2922,"base":3},"right_expr":{"type":"numeric_atoms","value":1529,"base":3}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6428,"base":3},"right_expr":{"type":"numeric_atoms","value":5200,"base":3}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":6833,"base":3},"right_expr":{"type":"numeric_atoms","value":2810,"base":3}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":8091,"base":3}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3705,"base":3}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1701,"base":3}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2490,"base":3},"right_expr":{"type":"numeric_atoms","value":5290,"base":3}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7621,"base":3},"right_expr":{"type":"numeric_atoms","value":1048,"base":3}}}}},"used_operators":["L05ObWFQCd","y75s1iXyHd","XGcMNugi78","As8RqfVLgs","vg4gO5BX6G","cHh1gJQ2o6","09Ly4LVMIf","KipPnG1M2J","Af076pWI7l","KmoU8R5UQR","XTarYq4gQB","glklzrTFfD","kbkesczE7y","eewbuw0ToL","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫏≰100221","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2922","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=1529, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2279","layer":3},{"info":"number node, value=6428","layer":4},{"info":"number node, value=5200","layer":4},{"info":"compute binary expreesion, left_input=6428, right_input=5200, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=26743","layer":3},{"info":"compute binary expreesion, left_input=2279, right_input=26743, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=26743","layer":2},{"info":"number node, value=6833","layer":4},{"info":"number node, value=2810","layer":4},{"info":"compute binary expreesion, left_input=6833, right_input=2810, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11272","layer":3},{"info":"number node, value=8091","layer":4},{"info":"compute unary expreesion, input=8091, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-11272, right_input=-484, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=26743, right_input=160, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"number node, value=3705","layer":4},{"info":"compute unary expreesion, input=3705, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-544635","layer":3},{"info":"number node, value=1701","layer":4},{"info":"compute unary expreesion, input=1701, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1701","layer":3},{"info":"compute binary expreesion, left_input=-544635, right_input=1701, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1089270","layer":2},{"info":"number node, value=2490","layer":4},{"info":"number node, value=5290","layer":4},{"info":"compute binary expreesion, left_input=2490, right_input=5290, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2790","layer":3},{"info":"number node, value=7621","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=7621, right_input=1048, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=285","layer":3},{"info":"compute binary expreesion, left_input=-2790, right_input=285, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=1089270, right_input=868, 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 = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=268","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11000020⋹⋡⊁⫏≰2002122⫞⩸⩒(⫏≰22211002⊨⫏≰21010121)⨒(⫏≰100101002⫃⨇⫏≰10212002)⩘(⫏≰102002200∀⋜↑))⪍↜⋙(⪝⪂⫅⫏≰12002020)⨸(⫏≰2100000⨁⊸⫻)↓(⫏≰10102020⨰⫏≰21020221≬⋮⫏≰101110021⪛⫏≰1102211)=⫏≰100221","reverse_text":"⫏≰100221=(⫏≰11000020⋹⋡⊁⫏≰2002122⫞⩸⩒(⫏≰22211002⊨⫏≰21010121)⨒(⫏≰100101002⫃⨇⫏≰10212002)⩘(⫏≰102002200∀⋜↑))⪍↜⋙(⪝⪂⫅⫏≰12002020)⨸(⫏≰2100000⨁⊸⫻)↓(⫏≰10102020⨰⫏≰21020221≬⋮⫏≰101110021⪛⫏≰1102211)","cot":[{"info":"⫏≰11000020⋹⋡⊁⫏≰2002122=⫏≰10010102","layer":3},{"info":"⫏≰22211002⊨⫏≰21010121=⫏≰1100200111","layer":3},{"info":"⫏≰10010102⫞⩸⩒⫏≰1100200111=⫏≰1100200111","layer":2},{"info":"⫏≰100101002⫃⨇⫏≰10212002=⫏≰-120110111","layer":3},{"info":"⫏≰102002200∀⋜↑=⫏≰-122221","layer":3},{"info":"⫏≰-120110111⩘⫏≰-122221=⫏≰12221","layer":2},{"info":"⫏≰1100200111⨒⫏≰12221=⫏≰0","layer":1},{"info":"⪝⪂⫅⫏≰12002020=⫏≰-1000200002200","layer":3},{"info":"⫏≰2100000⨁⊸⫻=⫏≰2100000","layer":3},{"info":"⫏≰-1000200002200⨸⫏≰2100000=⫏≰2001100012100","layer":2},{"info":"⫏≰10102020⨰⫏≰21020221=⫏≰-10211100","layer":3},{"info":"⫏≰101110021⪛⫏≰1102211=⫏≰101120","layer":3},{"info":"⫏≰-10211100≬⋮⫏≰101120=⫏≰1012011","layer":2},{"info":"⫏≰2001100012100↓⫏≰1012011=⫏≰-11222","layer":1},{"info":"⫏≰0⪍↜⋙⫏≰-11222=⫏≰100221","layer":0}]}
{"id":939,"expression_no_base_symbol":"((+⊝⨔($6182$⫳≱↱$1118$))⪐)⊬⨰(⩷⨜⫀(⇈($4284$⨥⫆$2284$)))","expression":"((+⊝⨔(⫏≰22110222⫳≱↱⫏≰1112102))⪐)⊬⨰(⩷⨜⫀(⇈(⫏≰12212200⨥⫆⫏≰10010121)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1375,"operation_count":7,"complexity_ratio":196.42857142857142,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":6182,"base":3},"right_expr":{"type":"numeric_atoms","value":1118,"base":3}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4284,"base":3},"right_expr":{"type":"numeric_atoms","value":2284,"base":3}}}}},"used_operators":["s3Fd5m9Dh2","eH2TOUuTDT","DhbWaqg5eL","ZvLB05nZmT","CDi0ktkjQ4","SLLxy00UIr","yXekIHxTD4"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","ruOEQAzv1W","nhYeJWJD5X","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⫏≰-1110212","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6182","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=6182, right_input=1118, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3044","layer":1},{"info":"number node, value=4284","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=2284, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4444","layer":3},{"info":"compute unary expreesion, input=4444, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"compute binary expreesion, left_input=3044, right_input=-766, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-1076","layer":0}],"base":3,"result_base":3,"text":"((+⊝⨔(⫏≰22110222⫳≱↱⫏≰1112102))⪐)⊬⨰(⩷⨜⫀(⇈(⫏≰12212200⨥⫆⫏≰10010121)))=⫏≰-1110212","reverse_text":"⫏≰-1110212=((+⊝⨔(⫏≰22110222⫳≱↱⫏≰1112102))⪐)⊬⨰(⩷⨜⫀(⇈(⫏≰12212200⨥⫆⫏≰10010121)))","cot":[{"info":"⫏≰22110222⫳≱↱⫏≰1112102=⫏≰-21120","layer":3},{"info":"+⊝⨔⫏≰-21120=⫏≰2002101","layer":2},{"info":"⫏≰2002101⪐=⫏≰11011202","layer":1},{"info":"⫏≰12212200⨥⫆⫏≰10010121=⫏≰20002121","layer":3},{"info":"⇈⫏≰20002121=⫏≰-121120","layer":2},{"info":"⩷⨜⫀⫏≰-121120=⫏≰-1001101","layer":1},{"info":"⫏≰11011202⊬⨰⫏≰-1001101=⫏≰-1110212","layer":0}]}
{"id":940,"expression_no_base_symbol":"(⩎⋉(($3016$⩼⇪↪$3066$)≌$2088$⇻⋧≁$4376$))↯⫤","expression":"(⩎⋉((⫏≰11010201⩼⇪↪⫏≰11012120)≌⫏≰2212100⇻⋧≁⫏≰20000002))↯⫤","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":205336,"operation_count":5,"complexity_ratio":41067.2,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3016,"base":3},"right_expr":{"type":"numeric_atoms","value":3066,"base":3}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2088,"base":3},"right_expr":{"type":"numeric_atoms","value":4376,"base":3}}}}},"used_operators":["VwlE7vj6HS","FlXk3pOYe8","lyWz822IDG","ocnLzx9CaJ","jCPkEVoL5K"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3016","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=3016, right_input=3066, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-16213","layer":3},{"info":"number node, value=2088","layer":4},{"info":"number node, value=4376","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=4376, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-16213, right_input=-447, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=7280","layer":2},{"info":"compute unary expreesion, input=7280, 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":1},{"info":"compute unary expreesion, input=1650, 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":3,"result_base":3,"text":"(⩎⋉((⫏≰11010201⩼⇪↪⫏≰11012120)≌⫏≰2212100⇻⋧≁⫏≰20000002))↯⫤=⫏≰0","reverse_text":"⫏≰0=(⩎⋉((⫏≰11010201⩼⇪↪⫏≰11012120)≌⫏≰2212100⇻⋧≁⫏≰20000002))↯⫤","cot":[{"info":"⫏≰11010201⩼⇪↪⫏≰11012120=⫏≰-211020111","layer":3},{"info":"⫏≰2212100⇻⋧≁⫏≰20000002=⫏≰-121120","layer":3},{"info":"⫏≰-211020111≌⫏≰-121120=⫏≰100222122","layer":2},{"info":"⩎⋉⫏≰100222122=⫏≰2021010","layer":1},{"info":"⫏≰2021010↯⫤=⫏≰0","layer":0}]}
{"id":941,"expression_no_base_symbol":"(((↣≠⋷$2480$)⊬⫿⊭)⪘⨀)⪘⫢(($2369$⊉↱≁$2039$⊋≦⊧$1945$⪚$3109$)⨲)","expression":"(((↣≠⋷⫏≰10101212)⊬⫿⊭)⪘⨀)⪘⫢((⫏≰10020202⊉↱≁⫏≰2210112⊋≦⊧⫏≰2200001⪚⫏≰11021011)⨲)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":850355,"operation_count":8,"complexity_ratio":106294.375,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2480,"base":3}}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2369,"base":3},"right_expr":{"type":"numeric_atoms","value":2039,"base":3}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1945,"base":3},"right_expr":{"type":"numeric_atoms","value":3109,"base":3}}}}},"used_operators":["oacrs7FA3X","aA7tF3KVD3","v0DYgG9ikt","Asc51vEJeQ","nLYMGWM7L8","oRDoc9rAEX","w2P8NbNXyL","HrjLwUk87U"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","XhwjNDsVaA","AHs5Up7iyr","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"compute unary expreesion, input=2480, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":1},{"info":"number node, value=2369","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=2369, right_input=2039, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=11404","layer":3},{"info":"number node, value=1945","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=3109, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2684","layer":3},{"info":"compute binary expreesion, left_input=11404, right_input=-2684, 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=5608","layer":2},{"info":"compute unary expreesion, input=5608, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=997846285","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=997846285, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((↣≠⋷⫏≰10101212)⊬⫿⊭)⪘⨀)⪘⫢((⫏≰10020202⊉↱≁⫏≰2210112⊋≦⊧⫏≰2200001⪚⫏≰11021011)⨲)=NaN","reverse_text":"NaN=(((↣≠⋷⫏≰10101212)⊬⫿⊭)⪘⨀)⪘⫢((⫏≰10020202⊉↱≁⫏≰2210112⊋≦⊧⫏≰2200001⪚⫏≰11021011)⨲)","cot":[{"info":"↣≠⋷⫏≰10101212=NaN","layer":3},{"info":"NaN⊬⫿⊭=NaN","layer":2},{"info":"NaN⪘⨀=NaN","layer":1},{"info":"⫏≰10020202⊉↱≁⫏≰2210112=⫏≰120122101","layer":3},{"info":"⫏≰2200001⪚⫏≰11021011=⫏≰-10200102","layer":3},{"info":"⫏≰120122101⊋≦⊧⫏≰-10200102=⫏≰21200201","layer":2},{"info":"⫏≰21200201⨲=⫏≰2120112121211202211","layer":1},{"info":"NaN⪘⫢⫏≰2120112121211202211=NaN","layer":0}]}
{"id":942,"expression_no_base_symbol":"((⇘$4242$)⊕∕($1084$⪡$1444$)∀⊥⇻)⫗⊷⫓(($6277$⫲≸⪮$6366$⩒⫫($5136$⩠))⨥⫆($1003$⨑⩅≇$6969$⋾⨃∁($1085$≀⩗∶$1962$)))","expression":"((⇘⫏≰12211010)⊕∕(⫏≰1111011⪡⫏≰1222111)∀⊥⇻)⫗⊷⫓((⫏≰22121111⫲≸⪮⫏≰22201210⩒⫫(⫏≰21001020⩠))⨥⫆(⫏≰1101011⨑⩅≇⫏≰100120010⋾⨃∁(⫏≰1111012≀⩗∶⫏≰2200200)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":173509,"operation_count":12,"complexity_ratio":14459.083333333334,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":4242,"base":3}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1084,"base":3},"right_expr":{"type":"numeric_atoms","value":1444,"base":3}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6277,"base":3},"right_expr":{"type":"numeric_atoms","value":6366,"base":3}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5136,"base":3}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1003,"base":3},"right_expr":{"type":"numeric_atoms","value":6969,"base":3}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1085,"base":3},"right_expr":{"type":"numeric_atoms","value":1962,"base":3}}}}},"used_operators":["zashukvMKz","k4iM1060OG","9cloC0Ngie","MGuIdZPyUC","oraRL2iQuh","yXekIHxTD4","KFSx94NKJn","P3lXMJvFrc","sJAwomhLZr","212REbPD9h","h92wMvzauj","8INZBEW696"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4242","layer":4},{"info":"compute unary expreesion, input=4242, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=248902","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1444, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=248902, right_input=107, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=248902","layer":2},{"info":"compute unary expreesion, input=248902, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"number node, value=6277","layer":4},{"info":"number node, value=6366","layer":4},{"info":"compute binary expreesion, left_input=6277, right_input=6366, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6277","layer":3},{"info":"number node, value=5136","layer":4},{"info":"compute unary expreesion, input=5136, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6277, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5975","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=6969","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=6969, 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=-3009","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1962, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-3009, right_input=-3, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=5975, right_input=160, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=196","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=196, 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":3,"result_base":3,"text":"((⇘⫏≰12211010)⊕∕(⫏≰1111011⪡⫏≰1222111)∀⊥⇻)⫗⊷⫓((⫏≰22121111⫲≸⪮⫏≰22201210⩒⫫(⫏≰21001020⩠))⨥⫆(⫏≰1101011⨑⩅≇⫏≰100120010⋾⨃∁(⫏≰1111012≀⩗∶⫏≰2200200)))=⫏≰-11222","reverse_text":"⫏≰-11222=((⇘⫏≰12211010)⊕∕(⫏≰1111011⪡⫏≰1222111)∀⊥⇻)⫗⊷⫓((⫏≰22121111⫲≸⪮⫏≰22201210⩒⫫(⫏≰21001020⩠))⨥⫆(⫏≰1101011⨑⩅≇⫏≰100120010⋾⨃∁(⫏≰1111012≀⩗∶⫏≰2200200)))","cot":[{"info":"⇘⫏≰12211010=⫏≰110122102121","layer":3},{"info":"⫏≰1111011⪡⫏≰1222111=⫏≰10222","layer":3},{"info":"⫏≰110122102121⊕∕⫏≰10222=⫏≰110122102121","layer":2},{"info":"⫏≰110122102121∀⊥⇻=⫏≰0","layer":1},{"info":"⫏≰22121111⫲≸⪮⫏≰22201210=⫏≰22121111","layer":3},{"info":"⫏≰21001020⩠=⫏≰0","layer":3},{"info":"⫏≰22121111⩒⫫⫏≰0=⫏≰22012022","layer":2},{"info":"⫏≰1101011⨑⩅≇⫏≰100120010=⫏≰-11010110","layer":3},{"info":"⫏≰1111012≀⩗∶⫏≰2200200=⫏≰-10","layer":3},{"info":"⫏≰-11010110⋾⨃∁⫏≰-10=⫏≰12221","layer":2},{"info":"⫏≰22012022⨥⫆⫏≰12221=⫏≰21021","layer":1},{"info":"⫏≰0⫗⊷⫓⫏≰21021=⫏≰-11222","layer":0}]}
{"id":943,"expression_no_base_symbol":"(($1266$∌$4848$⨸⪁($1328$∈))⫸⊐(↽≂(⨭⩧⫛$3232$)))⋅⇍($4499$⪝$1765$⨭⪣($2572$⨑≵⋬$6733$))⪝(⊽($5362$∽$7741$))","expression":"((⫏≰1201220∌⫏≰20122120⨸⪁(⫏≰1211012∈))⫸⊐(↽≂(⨭⩧⫛⫏≰11102201)))⋅⇍(⫏≰20011122⪝⫏≰2102101⨭⪣(⫏≰10112021⨑≵⋬⫏≰100020101))⪝(⊽(⫏≰21100121∽⫏≰101121201))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1014,"operation_count":13,"complexity_ratio":78.0,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1266,"base":3},"right_expr":{"type":"numeric_atoms","value":4848,"base":3}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1328,"base":3}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3232,"base":3}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4499,"base":3},"right_expr":{"type":"numeric_atoms","value":1765,"base":3}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2572,"base":3},"right_expr":{"type":"numeric_atoms","value":6733,"base":3}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5362,"base":3},"right_expr":{"type":"numeric_atoms","value":7741,"base":3}}}}},"used_operators":["AdZkA7nFnk","mqXw5SEYmG","g55IO6H4Gj","8cLx32lpNA","ztP7wcbY7m","u6S6b8DprG","g21JL6JxX7","wicAB68Tmb","kn8WO9XteQ","XnXgA4xnOs","QxG7OkqoLX","y4ImoPnbV5"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","NTOWxs364D","QMFrweE19q"],"result":"⫏≰-2010002","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1266","layer":4},{"info":"number node, value=4848","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=4848, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4848","layer":3},{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=3313","layer":3},{"info":"compute binary expreesion, left_input=-4848, right_input=3313, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-3070","layer":2},{"info":"number node, value=3232","layer":4},{"info":"compute unary expreesion, input=3232, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3070, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"number node, value=4499","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=1765, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-11335","layer":3},{"info":"number node, value=2572","layer":4},{"info":"number node, value=6733","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=6733, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-32892","layer":3},{"info":"compute binary expreesion, left_input=-11335, right_input=-32892, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=10540","layer":2},{"info":"number node, value=5362","layer":4},{"info":"number node, value=7741","layer":4},{"info":"compute binary expreesion, left_input=5362, right_input=7741, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-49855","layer":3},{"info":"compute unary expreesion, input=-49855, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=10540, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-42559","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=-42559, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1541","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1201220∌⫏≰20122120⨸⪁(⫏≰1211012∈))⫸⊐(↽≂(⨭⩧⫛⫏≰11102201)))⋅⇍(⫏≰20011122⪝⫏≰2102101⨭⪣(⫏≰10112021⨑≵⋬⫏≰100020101))⪝(⊽(⫏≰21100121∽⫏≰101121201))=⫏≰-2010002","reverse_text":"⫏≰-2010002=((⫏≰1201220∌⫏≰20122120⨸⪁(⫏≰1211012∈))⫸⊐(↽≂(⨭⩧⫛⫏≰11102201)))⋅⇍(⫏≰20011122⪝⫏≰2102101⨭⪣(⫏≰10112021⨑≵⋬⫏≰100020101))⪝(⊽(⫏≰21100121∽⫏≰101121201))","cot":[{"info":"⫏≰1201220∌⫏≰20122120=⫏≰-20122120","layer":3},{"info":"⫏≰1211012∈=⫏≰11112201","layer":3},{"info":"⫏≰-20122120⨸⪁⫏≰11112201=⫏≰-11012201","layer":2},{"info":"⨭⩧⫛⫏≰11102201=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⫏≰-11012201⫸⊐NaN=⫏≰1022212","layer":1},{"info":"⫏≰20011122⪝⫏≰2102101=⫏≰-120112211","layer":3},{"info":"⫏≰10112021⨑≵⋬⫏≰100020101=⫏≰-1200010020","layer":3},{"info":"⫏≰-120112211⨭⪣⫏≰-1200010020=⫏≰112110101","layer":2},{"info":"⫏≰21100121∽⫏≰101121201=⫏≰-2112101111","layer":3},{"info":"⊽⫏≰-2112101111=⫏≰0","layer":2},{"info":"⫏≰112110101⪝⫏≰0=⫏≰-2011101021","layer":1},{"info":"⫏≰1022212⋅⇍⫏≰-2011101021=⫏≰-2010002","layer":0}]}
{"id":944,"expression_no_base_symbol":"(⪛⨧(($1233$⪨≂$1757$)∴≳≥))⪔((⨞⊢$1316$)⪭($2620$⨽$2384$)⩷∴(≑⋹($2891$↺$2265$)))","expression":"(⪛⨧((⫏≰1200200⪨≂⫏≰2102002)∴≳≥))⪔((⨞⊢⫏≰1210202)⪭(⫏≰10121001⨽⫏≰10021022)⩷∴(≑⋹(⫏≰10222002↺⫏≰10002220)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3547,"operation_count":10,"complexity_ratio":354.7,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1233,"base":3},"right_expr":{"type":"numeric_atoms","value":1757,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1316,"base":3}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2620,"base":3},"right_expr":{"type":"numeric_atoms","value":2384,"base":3}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2891,"base":3},"right_expr":{"type":"numeric_atoms","value":2265,"base":3}}}}},"used_operators":["GjBEYRfMaF","6NJAcO2OWT","a3N2hFLK0J","sdazOOVcIp","9FxExcQeMw","j9kHMeSvPp","xUOZtlo3hN","8HhzD0ZcuI","6B9nyZLogK","7j4O788W3g"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰121200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=1757, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-946","layer":3},{"info":"compute unary expreesion, input=-946, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-3784","layer":2},{"info":"compute unary expreesion, input=-3784, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-6167","layer":1},{"info":"number node, value=1316","layer":4},{"info":"compute unary expreesion, input=1316, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1490","layer":3},{"info":"number node, value=2620","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=2384, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20599038","layer":3},{"info":"compute binary expreesion, left_input=-1490, right_input=-20599038, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=1316","layer":2},{"info":"number node, value=2891","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=2265, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2265","layer":3},{"info":"compute unary expreesion, input=2265, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=1316, right_input=1650, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-700","layer":1},{"info":"compute binary expreesion, left_input=-6167, right_input=-700, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":3,"result_base":3,"text":"(⪛⨧((⫏≰1200200⪨≂⫏≰2102002)∴≳≥))⪔((⨞⊢⫏≰1210202)⪭(⫏≰10121001⨽⫏≰10021022)⩷∴(≑⋹(⫏≰10222002↺⫏≰10002220)))=⫏≰121200","reverse_text":"⫏≰121200=(⪛⨧((⫏≰1200200⪨≂⫏≰2102002)∴≳≥))⪔((⨞⊢⫏≰1210202)⪭(⫏≰10121001⨽⫏≰10021022)⩷∴(≑⋹(⫏≰10222002↺⫏≰10002220)))","cot":[{"info":"⫏≰1200200⪨≂⫏≰2102002=⫏≰-1022001","layer":3},{"info":"⫏≰-1022001∴≳≥=⫏≰-12012011","layer":2},{"info":"⪛⨧⫏≰-12012011=⫏≰-22110102","layer":1},{"info":"⨞⊢⫏≰1210202=⫏≰-2001012","layer":3},{"info":"⫏≰10121001⨽⫏≰10021022=⫏≰-1102202112120100","layer":3},{"info":"⫏≰-2001012⪭⫏≰-1102202112120100=⫏≰1210202","layer":2},{"info":"⫏≰10222002↺⫏≰10002220=⫏≰10002220","layer":3},{"info":"≑⋹⫏≰10002220=⫏≰2021010","layer":2},{"info":"⫏≰1210202⩷∴⫏≰2021010=⫏≰-221221","layer":1},{"info":"⫏≰-22110102⪔⫏≰-221221=⫏≰121200","layer":0}]}
{"id":945,"expression_no_base_symbol":"(((⨛$3033$)≬⇓($3737$⋻⩜⩜$1026$))⪶≀⋏($4367$⪡$4976$↙($4003$⩅⪻⪻)))≁↽≥(($2827$⩣⫁∢$4875$↬$6069$⋥⋵⩄$7437$)⋛(⫟$4920$)≁$1363$⇡⇂$1433$)","expression":"(((⨛⫏≰11011100)≬⇓(⫏≰12010102⋻⩜⩜⫏≰1102000))⪶≀⋏(⫏≰12222202⪡⫏≰20211022↙(⫏≰12111021⩅⪻⪻)))≁↽≥((⫏≰10212201⩣⫁∢⫏≰20200120↬⫏≰22022210⋥⋵⩄⫏≰101012110)⋛(⫟⫏≰20202020)≁⫏≰1212111⇡⇂⫏≰1222002)","highest_n_order":5,"priority_hierarchical_complexity":15,"normalized_expansion_degree":613656,"operation_count":15,"complexity_ratio":40910.4,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":3033,"base":3}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3737,"base":3},"right_expr":{"type":"numeric_atoms","value":1026,"base":3}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4367,"base":3},"right_expr":{"type":"numeric_atoms","value":4976,"base":3}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":4003,"base":3}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2827,"base":3},"right_expr":{"type":"numeric_atoms","value":4875,"base":3}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":6069,"base":3},"right_expr":{"type":"numeric_atoms","value":7437,"base":3}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":4920,"base":3}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1363,"base":3},"right_expr":{"type":"numeric_atoms","value":1433,"base":3}}}}},"used_operators":["ncHt1X6cMc","zR4jO40bMj","jWTQ2TZYIH","CoMdbyAt7R","oDCm7WA9JY","yyfyN0ffXY","oraRL2iQuh","kHoXpA7yos","YbUVn0Rbpy","B5M0gjZbta","JDUIKTTSIa","7t3wd0Fuz7","8N2wDY1A35","z4E1FaHLuy","UMwdvZNt44"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tmPS8pqC7x","DpFCA1CohY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rGHVDoGpnC","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3033","layer":4},{"info":"compute unary expreesion, input=3033, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=3737","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=1026, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7474","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7474, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=4367","layer":4},{"info":"number node, value=4976","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=4976, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=4003","layer":4},{"info":"compute unary expreesion, input=4003, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-591869","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-591869, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1775607","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-1775607, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14204856","layer":1},{"info":"number node, value=2827","layer":4},{"info":"number node, value=4875","layer":4},{"info":"compute binary expreesion, left_input=2827, right_input=4875, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5493","layer":3},{"info":"number node, value=6069","layer":4},{"info":"number node, value=7437","layer":4},{"info":"compute binary expreesion, left_input=6069, right_input=7437, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-5493, right_input=113, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4920","layer":4},{"info":"compute unary expreesion, input=4920, 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=-13853","layer":3},{"info":"number node, value=1363","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=1433, 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":3},{"info":"compute binary expreesion, left_input=-13853, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=-14204856, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⨛⫏≰11011100)≬⇓(⫏≰12010102⋻⩜⩜⫏≰1102000))⪶≀⋏(⫏≰12222202⪡⫏≰20211022↙(⫏≰12111021⩅⪻⪻)))≁↽≥((⫏≰10212201⩣⫁∢⫏≰20200120↬⫏≰22022210⋥⋵⩄⫏≰101012110)⋛(⫟⫏≰20202020)≁⫏≰1212111⇡⇂⫏≰1222002)=NaN","reverse_text":"NaN=(((⨛⫏≰11011100)≬⇓(⫏≰12010102⋻⩜⩜⫏≰1102000))⪶≀⋏(⫏≰12222202⪡⫏≰20211022↙(⫏≰12111021⩅⪻⪻)))≁↽≥((⫏≰10212201⩣⫁∢⫏≰20200120↬⫏≰22022210⋥⋵⩄⫏≰101012110)⋛(⫟⫏≰20202020)≁⫏≰1212111⇡⇂⫏≰1222002)","cot":[{"info":"⨛⫏≰11011100=NaN","layer":3},{"info":"⫏≰12010102⋻⩜⩜⫏≰1102000=⫏≰101020211","layer":3},{"info":"NaN≬⇓⫏≰101020211=⫏≰-211","layer":2},{"info":"⫏≰12222202⪡⫏≰20211022=⫏≰10222","layer":3},{"info":"⫏≰12111021⩅⪻⪻=⫏≰-1010001220002","layer":3},{"info":"⫏≰10222↙⫏≰-1010001220002=⫏≰-10100012200020","layer":2},{"info":"⫏≰-211⪶≀⋏⫏≰-10100012200020=⫏≰-222201200101210","layer":1},{"info":"⫏≰10212201⩣⫁∢⫏≰20200120=⫏≰-21112110","layer":3},{"info":"⫏≰22022210⋥⋵⩄⫏≰101012110=⫏≰11012","layer":3},{"info":"⫏≰-21112110↬⫏≰11012=NaN","layer":2},{"info":"⫟⫏≰20202020=⫏≰-201000002","layer":3},{"info":"⫏≰1212111⇡⇂⫏≰1222002=NaN","layer":3},{"info":"⫏≰-201000002≁NaN=NaN","layer":2},{"info":"NaN⋛NaN=NaN","layer":1},{"info":"⫏≰-222201200101210≁↽≥NaN=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"($8414$⇴∐$3948$)∊∟⩊($7245$⪐)⪒⊣⊆((⫓⪴$1449$)⨚⇆$3004$⪃⊛⇣$1541$)↺(⇙⪊(↨$6501$≭$1975$))","expression":"(⫏≰102112122⇴∐⫏≰12102020)∊∟⩊(⫏≰100221100⪐)⪒⊣⊆((⫓⪴⫏≰1222200)⨚⇆⫏≰11010021⪃⊛⇣⫏≰2010002)↺(⇙⪊(↨⫏≰22220210≭⫏≰2201011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2233,"operation_count":11,"complexity_ratio":203.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":8414,"base":3},"right_expr":{"type":"numeric_atoms","value":3948,"base":3}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":7245,"base":3}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1449,"base":3}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3004,"base":3},"right_expr":{"type":"numeric_atoms","value":1541,"base":3}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6501,"base":3},"right_expr":{"type":"numeric_atoms","value":1975,"base":3}}}}},"used_operators":["7j4O788W3g","eRqsBgTDFp","ddLRYrp01A","HnzytWxmAO","eH2TOUuTDT","lwHaAYXP2r","eLxqMNBOBk","rrgAzCduG9","pB6Fcnrjim","jiX4gk2v2Q","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9HNa5Wba9A","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rGHVDoGpnC","oZj3VtZNQx","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8414","layer":4},{"info":"number node, value=3948","layer":4},{"info":"compute binary expreesion, left_input=8414, right_input=3948, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=7245","layer":4},{"info":"compute unary expreesion, input=7245, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=14490","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14490, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=14490","layer":2},{"info":"number node, value=1449","layer":4},{"info":"compute unary expreesion, input=1449, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2099601","layer":3},{"info":"number node, value=3004","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=3004, right_input=1541, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2099601, right_input=1234, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14490, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=28980","layer":1},{"info":"number node, value=6501","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=6501, right_input=1975, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=28980, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰102112122⇴∐⫏≰12102020)∊∟⩊(⫏≰100221100⪐)⪒⊣⊆((⫓⪴⫏≰1222200)⨚⇆⫏≰11010021⪃⊛⇣⫏≰2010002)↺(⇙⪊(↨⫏≰22220210≭⫏≰2201011))=NaN","reverse_text":"NaN=(⫏≰102112122⇴∐⫏≰12102020)∊∟⩊(⫏≰100221100⪐)⪒⊣⊆((⫓⪴⫏≰1222200)⨚⇆⫏≰11010021⪃⊛⇣⫏≰2010002)↺(⇙⪊(↨⫏≰22220210≭⫏≰2201011))","cot":[{"info":"⫏≰102112122⇴∐⫏≰12102020=NaN","layer":3},{"info":"⫏≰100221100⪐=⫏≰201212200","layer":3},{"info":"NaN∊∟⩊⫏≰201212200=⫏≰201212200","layer":2},{"info":"⫓⪴⫏≰1222200=⫏≰10221200010000","layer":3},{"info":"⫏≰11010021⪃⊛⇣⫏≰2010002=⫏≰1200201","layer":3},{"info":"⫏≰10221200010000⨚⇆⫏≰1200201=NaN","layer":2},{"info":"⫏≰201212200⪒⊣⊆NaN=⫏≰1110202100","layer":1},{"info":"⫏≰22220210≭⫏≰2201011=NaN","layer":3},{"info":"↨NaN=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"⫏≰1110202100↺NaN=NaN","layer":0}]}
{"id":947,"expression_no_base_symbol":"(($1265$⩘$2109$)⪒⊣⊆($1317$⪍↜⋙$2961$)⩨(($3840$⇮⋭$4640$)⊊))↓(($1300$≃$2979$)≁↽≥($1822$⫳≱↱$2651$)/($6692$+⪬∐$2804$)∴($2320$⩅⪻⪻))","expression":"((⫏≰1201212⩘⫏≰2220010)⪒⊣⊆(⫏≰1210210⪍↜⋙⫏≰11001200)⩨((⫏≰12021020⇮⋭⫏≰20100212)⊊))↓((⫏≰1210011≃⫏≰11002100)≁↽≥(⫏≰2111111⫳≱↱⫏≰10122012)/(⫏≰100011212+⪬∐⫏≰10211212)∴(⫏≰10011221⩅⪻⪻))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1700,"operation_count":14,"complexity_ratio":121.42857142857143,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1265,"base":3},"right_expr":{"type":"numeric_atoms","value":2109,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1317,"base":3},"right_expr":{"type":"numeric_atoms","value":2961,"base":3}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3840,"base":3},"right_expr":{"type":"numeric_atoms","value":4640,"base":3}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1300,"base":3},"right_expr":{"type":"numeric_atoms","value":2979,"base":3}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1822,"base":3},"right_expr":{"type":"numeric_atoms","value":2651,"base":3}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":6692,"base":3},"right_expr":{"type":"numeric_atoms","value":2804,"base":3}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":2320,"base":3}}}}},"used_operators":["Af076pWI7l","2DlMacCsIx","eRqsBgTDFp","cHh1gJQ2o6","L05ObWFQCd","W9R8I5fN5A","vkpjKywKVM","XhwjNDsVaA","ncHt1X6cMc","YbVcJGFEVW","ZvLB05nZmT","hrf7POJlIJ","2GS7woTJqF","kHoXpA7yos"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","W4YGzv6Whe","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","g55IO6H4Gj","D4vGDi5EA2","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"⫏≰-22222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=2109, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1317","layer":4},{"info":"number node, value=2961","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=2961, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-13290","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-13290, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=320","layer":2},{"info":"number node, value=3840","layer":4},{"info":"number node, value=4640","layer":4},{"info":"compute binary expreesion, left_input=3840, right_input=4640, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, 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":2},{"info":"compute binary expreesion, left_input=320, right_input=90927, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-852","layer":1},{"info":"number node, value=1300","layer":4},{"info":"number node, value=2979","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=2979, 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=-5240","layer":3},{"info":"number node, value=1822","layer":4},{"info":"number node, value=2651","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=2651, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-5240, right_input=-204, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"number node, value=6692","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=6692, right_input=2804, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-20076","layer":3},{"info":"number node, value=2320","layer":4},{"info":"compute unary expreesion, input=2320, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-342785","layer":3},{"info":"compute binary expreesion, left_input=-20076, right_input=-342785, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-38504","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-38504, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1201212⩘⫏≰2220010)⪒⊣⊆(⫏≰1210210⪍↜⋙⫏≰11001200)⩨((⫏≰12021020⇮⋭⫏≰20100212)⊊))↓((⫏≰1210011≃⫏≰11002100)≁↽≥(⫏≰2111111⫳≱↱⫏≰10122012)/(⫏≰100011212+⪬∐⫏≰10211212)∴(⫏≰10011221⩅⪻⪻))=⫏≰-22222","reverse_text":"⫏≰-22222=((⫏≰1201212⩘⫏≰2220010)⪒⊣⊆(⫏≰1210210⪍↜⋙⫏≰11001200)⩨((⫏≰12021020⇮⋭⫏≰20100212)⊊))↓((⫏≰1210011≃⫏≰11002100)≁↽≥(⫏≰2111111⫳≱↱⫏≰10122012)/(⫏≰100011212+⪬∐⫏≰10211212)∴(⫏≰10011221⩅⪻⪻))","cot":[{"info":"⫏≰1201212⩘⫏≰2220010=⫏≰12221","layer":3},{"info":"⫏≰1210210⪍↜⋙⫏≰11001200=⫏≰-200020020","layer":3},{"info":"⫏≰12221⪒⊣⊆⫏≰-200020020=⫏≰102212","layer":2},{"info":"⫏≰12021020⇮⋭⫏≰20100212=⫏≰-122112","layer":3},{"info":"⫏≰-122112⊊=⫏≰11121201200","layer":2},{"info":"⫏≰102212⩨⫏≰11121201200=⫏≰-1011120","layer":1},{"info":"⫏≰1210011≃⫏≰11002100=⫏≰-21012002","layer":3},{"info":"⫏≰2111111⫳≱↱⫏≰10122012=⫏≰-21120","layer":3},{"info":"⫏≰-21012002≁↽≥⫏≰-21120=⫏≰0","layer":2},{"info":"⫏≰100011212+⪬∐⫏≰10211212=⫏≰-1000112120","layer":3},{"info":"⫏≰10011221⩅⪻⪻=⫏≰-122102012202","layer":3},{"info":"⫏≰-1000112120∴⫏≰-122102012202=⫏≰-1221211002","layer":2},{"info":"⫏≰0/⫏≰-1221211002=⫏≰0","layer":1},{"info":"⫏≰-1011120↓⫏≰0=⫏≰-22222","layer":0}]}
{"id":948,"expression_no_base_symbol":"(⊖$2139$≚⊃≕$5718$↼⊘⨖$1515$⨂≜$5935$)↞⋁(⪭⩑⪱(↣≠⋷($1320$≒∊$2338$)))","expression":"(⊖⫏≰2221020≚⊃≕⫏≰21211210↼⊘⨖⫏≰2002010⨂≜⫏≰22010211)↞⋁(⪭⩑⪱(↣≠⋷(⫏≰1210220≒∊⫏≰10012121)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":701022,"operation_count":8,"complexity_ratio":87627.75,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2139,"base":3},"right_expr":{"type":"numeric_atoms","value":5718,"base":3}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1515,"base":3},"right_expr":{"type":"numeric_atoms","value":5935,"base":3}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1320,"base":3},"right_expr":{"type":"numeric_atoms","value":2338,"base":3}}}}},"used_operators":["RqrPlJkxDo","U6pG0PXrV3","bPywburJMS","Bmrmz2XGnR","k1SHOSEABc","SIgE0bArFf","Asc51vEJeQ","5KTvxBwnZo"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2139","layer":4},{"info":"number node, value=5718","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=5718, 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=-16372","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=5935, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16372, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":1},{"info":"number node, value=1320","layer":4},{"info":"number node, value=2338","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=2338, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-836","layer":3},{"info":"compute unary expreesion, input=-836, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊖⫏≰2221020≚⊃≕⫏≰21211210↼⊘⨖⫏≰2002010⨂≜⫏≰22010211)↞⋁(⪭⩑⪱(↣≠⋷(⫏≰1210220≒∊⫏≰10012121)))=NaN","reverse_text":"NaN=(⊖⫏≰2221020≚⊃≕⫏≰21211210↼⊘⨖⫏≰2002010⨂≜⫏≰22010211)↞⋁(⪭⩑⪱(↣≠⋷(⫏≰1210220≒∊⫏≰10012121)))","cot":[{"info":"⫏≰2221020≚⊃≕⫏≰21211210=⫏≰-211110101","layer":3},{"info":"⫏≰2002010⨂≜⫏≰22010211=NaN","layer":3},{"info":"⫏≰-211110101↼⊘⨖NaN=NaN","layer":2},{"info":"⊖NaN=NaN","layer":1},{"info":"⫏≰1210220≒∊⫏≰10012121=⫏≰-1010222","layer":3},{"info":"↣≠⋷⫏≰-1010222=NaN","layer":2},{"info":"⪭⩑⪱NaN=⫏≰120122201221000","layer":1},{"info":"NaN↞⋁⫏≰120122201221000=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"((($5302$⋻⩜⩜$5366$)↡⊰⫅($3027$∽$4382$))∘(⨈⪑($3718$⪬∳)))⇡⇂((⋗⩬⋾$3572$⫯⪬∳$3735$)≹⇙⪍($1128$∴$2298$)⇂≾⫗($4644$⩨$5287$))","expression":"(((⫏≰21021101⋻⩜⩜⫏≰21100202)↡⊰⫅(⫏≰11011010∽⫏≰20000022))∘(⨈⪑(⫏≰12002201⪬∳)))⇡⇂((⋗⩬⋾⫏≰11220022⫯⪬∳⫏≰12010100)≹⇙⪍(⫏≰1112210∴⫏≰10011010)⇂≾⫗(⫏≰20101000⩨⫏≰21020211))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":939850,"operation_count":13,"complexity_ratio":72296.15384615384,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5302,"base":3},"right_expr":{"type":"numeric_atoms","value":5366,"base":3}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3027,"base":3},"right_expr":{"type":"numeric_atoms","value":4382,"base":3}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":3718,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3572,"base":3},"right_expr":{"type":"numeric_atoms","value":3735,"base":3}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1128,"base":3},"right_expr":{"type":"numeric_atoms","value":2298,"base":3}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4644,"base":3},"right_expr":{"type":"numeric_atoms","value":5287,"base":3}}}}},"used_operators":["UMwdvZNt44","Z5m6OM72h2","VCtxkLNOzz","oDCm7WA9JY","y4ImoPnbV5","mp94q5OcYM","O9U3z1385E","AHs5Up7iyr","DpFCA1CohY","d7ASUq0ydm","aBQ6xLxuTc","hrf7POJlIJ","2DlMacCsIx"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eH2TOUuTDT","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","QMFrweE19q","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5302","layer":4},{"info":"number node, value=5366","layer":4},{"info":"compute binary expreesion, left_input=5302, right_input=5366, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10604","layer":3},{"info":"number node, value=3027","layer":4},{"info":"number node, value=4382","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=4382, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-28103","layer":3},{"info":"compute binary expreesion, left_input=10604, right_input=-28103, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=3718","layer":4},{"info":"compute unary expreesion, input=3718, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute unary expreesion, input=-709, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=3572","layer":4},{"info":"number node, value=3735","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=3735, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14158","layer":3},{"info":"compute unary expreesion, input=14158, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-42474","layer":2},{"info":"number node, value=1128","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=2298, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3904","layer":3},{"info":"number node, value=4644","layer":4},{"info":"number node, value=5287","layer":4},{"info":"compute binary expreesion, left_input=4644, right_input=5287, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=3904, right_input=-3, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=-42474, right_input=-670, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":3,"result_base":3,"text":"(((⫏≰21021101⋻⩜⩜⫏≰21100202)↡⊰⫅(⫏≰11011010∽⫏≰20000022))∘(⨈⪑(⫏≰12002201⪬∳)))⇡⇂((⋗⩬⋾⫏≰11220022⫯⪬∳⫏≰12010100)≹⇙⪍(⫏≰1112210∴⫏≰10011010)⇂≾⫗(⫏≰20101000⩨⫏≰21020211))=NaN","reverse_text":"NaN=(((⫏≰21021101⋻⩜⩜⫏≰21100202)↡⊰⫅(⫏≰11011010∽⫏≰20000022))∘(⨈⪑(⫏≰12002201⪬∳)))⇡⇂((⋗⩬⋾⫏≰11220022⫯⪬∳⫏≰12010100)≹⇙⪍(⫏≰1112210∴⫏≰10011010)⇂≾⫗(⫏≰20101000⩨⫏≰21020211))","cot":[{"info":"⫏≰21021101⋻⩜⩜⫏≰21100202=⫏≰112112202","layer":3},{"info":"⫏≰11011010∽⫏≰20000022=⫏≰-1102112212","layer":3},{"info":"⫏≰112112202↡⊰⫅⫏≰-1102112212=NaN","layer":2},{"info":"⫏≰12002201⪬∳=⫏≰-222021","layer":3},{"info":"⨈⪑⫏≰-222021=⫏≰1012011","layer":2},{"info":"NaN∘⫏≰1012011=NaN","layer":1},{"info":"⫏≰11220022⫯⪬∳⫏≰12010100=⫏≰201102101","layer":3},{"info":"⋗⩬⋾⫏≰201102101=⫏≰-2011021010","layer":2},{"info":"⫏≰1112210∴⫏≰10011010=⫏≰12100121","layer":3},{"info":"⫏≰20101000⩨⫏≰21020211=⫏≰-10","layer":3},{"info":"⫏≰12100121⇂≾⫗⫏≰-10=⫏≰-220211","layer":2},{"info":"⫏≰-2011021010≹⇙⪍⫏≰-220211=NaN","layer":1},{"info":"NaN⇡⇂NaN=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"((⨦⪝$1762$)⩁⩘(⋼∭⪍$5818$)∖($6858$∴≳≥)⫔⩽⩺$1672$⪍↜⋙$1214$)⪕((≸($3718$⨭⪣$4222$))⫔⩽⩺(⨮↦↱($2285$⊋$1577$)))","expression":"((⨦⪝⫏≰2102021)⩁⩘(⋼∭⪍⫏≰21222111)∖(⫏≰100102000∴≳≥)⫔⩽⩺⫏≰2021221⪍↜⋙⫏≰1122222)⪕((≸(⫏≰12002201⨭⪣⫏≰12210101))⫔⩽⩺(⨮↦↱(⫏≰10010122⊋⫏≰2011102)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9793664,"operation_count":13,"complexity_ratio":753358.7692307692,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1762,"base":3}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5818,"base":3}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":6858,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1672,"base":3},"right_expr":{"type":"numeric_atoms","value":1214,"base":3}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3718,"base":3},"right_expr":{"type":"numeric_atoms","value":4222,"base":3}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2285,"base":3},"right_expr":{"type":"numeric_atoms","value":1577,"base":3}}}}},"used_operators":["umQnsF7QlU","tXD093vOjl","gub5Cegaqo","SUjycxNXIR","DbCuESL50I","i9eR4S00cU","a3N2hFLK0J","L05ObWFQCd","eOf03JbCpp","kn8WO9XteQ","sYcpBQ0cFf","W4tP9CfskL"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DpFCA1CohY","IWmyXbctLI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⫏≰1021122","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=5818","layer":4},{"info":"compute unary expreesion, input=5818, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-21532","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=-21532, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-85180","layer":2},{"info":"number node, value=6858","layer":4},{"info":"compute unary expreesion, input=6858, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=27432","layer":3},{"info":"number node, value=1672","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=1214, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=916","layer":3},{"info":"compute binary expreesion, left_input=27432, right_input=916, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-85180, right_input=nan, 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=3718","layer":4},{"info":"number node, value=4222","layer":4},{"info":"compute binary expreesion, left_input=3718, right_input=4222, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2439","layer":3},{"info":"compute unary expreesion, input=2439, 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":2},{"info":"number node, value=2285","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=1577, 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=8943084","layer":3},{"info":"compute unary expreesion, input=8943084, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=58, right_input=-inf, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":3,"result_base":3,"text":"((⨦⪝⫏≰2102021)⩁⩘(⋼∭⪍⫏≰21222111)∖(⫏≰100102000∴≳≥)⫔⩽⩺⫏≰2021221⪍↜⋙⫏≰1122222)⪕((≸(⫏≰12002201⨭⪣⫏≰12210101))⫔⩽⩺(⨮↦↱(⫏≰10010122⊋⫏≰2011102)))=⫏≰1021122","reverse_text":"⫏≰1021122=((⨦⪝⫏≰2102021)⩁⩘(⋼∭⪍⫏≰21222111)∖(⫏≰100102000∴≳≥)⫔⩽⩺⫏≰2021221⪍↜⋙⫏≰1122222)⪕((≸(⫏≰12002201⨭⪣⫏≰12210101))⫔⩽⩺(⨮↦↱(⫏≰10010122⊋⫏≰2011102)))","cot":[{"info":"⨦⪝⫏≰2102021=⫏≰-2120210","layer":3},{"info":"⋼∭⪍⫏≰21222111=⫏≰-1002112111","layer":3},{"info":"⫏≰-2120210⩁⩘⫏≰-1002112111=⫏≰-11022211211","layer":2},{"info":"⫏≰100102000∴≳≥=⫏≰1101122000","layer":3},{"info":"⫏≰2021221⪍↜⋙⫏≰1122222=⫏≰1020221","layer":3},{"info":"⫏≰1101122000⫔⩽⩺⫏≰1020221=NaN","layer":2},{"info":"⫏≰-11022211211∖NaN=⫏≰0","layer":1},{"info":"⫏≰12002201⨭⪣⫏≰12210101=⫏≰10100100","layer":3},{"info":"≸⫏≰10100100=⫏≰2011","layer":2},{"info":"⫏≰10010122⊋⫏≰2011102=⫏≰121211100121100","layer":3},{"info":"⨮↦↱⫏≰121211100121100=-Inf","layer":2},{"info":"⫏≰2011⫔⩽⩺-Inf=NaN","layer":1},{"info":"⫏≰0⪕NaN=⫏≰1021122","layer":0}]}
{"id":951,"expression_no_base_symbol":"(($5712$∠↢$2501$)⇄$2970$≒∊$2030$)⪝($3412$≒∊$4477$⊬⫿⊭)⇐≅","expression":"((⫏≰21211120∠↢⫏≰10102122)⇄⫏≰11002000≒∊⫏≰2210012)⪝(⫏≰11200101≒∊⫏≰20010211⊬⫿⊭)⇐≅","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":478,"operation_count":7,"complexity_ratio":68.28571428571429,"tree":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5712,"base":3},"right_expr":{"type":"numeric_atoms","value":2501,"base":3}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2970,"base":3},"right_expr":{"type":"numeric_atoms","value":2030,"base":3}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3412,"base":3},"right_expr":{"type":"numeric_atoms","value":4477,"base":3}}}}},"used_operators":["wEfv7U73WA","wicAB68Tmb","3EYGwJThht","KbjG8mgYpV","5KTvxBwnZo","v0DYgG9ikt"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⫏≰21121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5712","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=5712, right_input=2501, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-56780","layer":3},{"info":"number node, value=2970","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=2030, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2486","layer":3},{"info":"compute binary expreesion, left_input=-56780, right_input=-2486, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=3412","layer":4},{"info":"number node, value=4477","layer":4},{"info":"compute binary expreesion, left_input=3412, right_input=4477, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2928","layer":3},{"info":"compute unary expreesion, input=-2928, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=3140","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3140, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute unary expreesion, input=237, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=205","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21211120∠↢⫏≰10102122)⇄⫏≰11002000≒∊⫏≰2210012)⪝(⫏≰11200101≒∊⫏≰20010211⊬⫿⊭)⇐≅=⫏≰21121","reverse_text":"⫏≰21121=((⫏≰21211120∠↢⫏≰10102122)⇄⫏≰11002000≒∊⫏≰2210012)⪝(⫏≰11200101≒∊⫏≰20010211⊬⫿⊭)⇐≅","cot":[{"info":"⫏≰21211120∠↢⫏≰10102122=⫏≰-2212212222","layer":3},{"info":"⫏≰11002000≒∊⫏≰2210012=⫏≰-10102002","layer":3},{"info":"⫏≰-2212212222⇄⫏≰-10102002=⫏≰0","layer":2},{"info":"⫏≰11200101≒∊⫏≰20010211=⫏≰-11000110","layer":3},{"info":"⫏≰-11000110⊬⫿⊭=⫏≰11022022","layer":2},{"info":"⫏≰0⪝⫏≰11022022=⫏≰22210","layer":1},{"info":"⫏≰22210⇐≅=⫏≰21121","layer":0}]}
{"id":952,"expression_no_base_symbol":"($5182$⋥⋵⩄$1224$⨐⩸⫘($1728$∙⊟$1166$))↼⊘⨖((≅≯⇸$1104$)≠≀$2235$⨚$5176$)/(((∷≠$6512$)⪭≯($6666$↙$2602$))⩱)","expression":"(⫏≰21002221⋥⋵⩄⫏≰1200100⨐⩸⫘(⫏≰2101000∙⊟⫏≰1121012))↼⊘⨖((≅≯⇸⫏≰1111220)≠≀⫏≰10001210⨚⫏≰21002201)/(((∷≠⫏≰22221012)⪭≯(⫏≰100010220↙⫏≰10120101))⩱)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4670,"operation_count":12,"complexity_ratio":389.1666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5182,"base":3},"right_expr":{"type":"numeric_atoms","value":1224,"base":3}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1728,"base":3},"right_expr":{"type":"numeric_atoms","value":1166,"base":3}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1104,"base":3}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2235,"base":3},"right_expr":{"type":"numeric_atoms","value":5176,"base":3}}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":6512,"base":3}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6666,"base":3},"right_expr":{"type":"numeric_atoms","value":2602,"base":3}}}}},"used_operators":["XhwjNDsVaA","bPywburJMS","fu6greOZ01","7t3wd0Fuz7","SxTAKzQCrw","IwW236VD4Y","apS25hmuAe","nREPSIbpBE","uyq1hVkAcj","XAx5wpdLa6","QiR2Oyf5Xj","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","3ViojmjbAp","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","EBcxylXtPf","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","7j4O788W3g","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5182","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=5182, right_input=1224, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1728","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=1166, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=32310","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=32310, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=12093","layer":3},{"info":"number node, value=2235","layer":4},{"info":"number node, value=5176","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=5176, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-15300","layer":3},{"info":"compute binary expreesion, left_input=12093, right_input=-15300, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=3086","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3086, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5950","layer":1},{"info":"number node, value=6512","layer":4},{"info":"compute unary expreesion, input=6512, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=6512","layer":3},{"info":"number node, value=6666","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=6666, right_input=2602, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7806","layer":3},{"info":"compute binary expreesion, left_input=6512, right_input=-7806, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5950, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰21002221⋥⋵⩄⫏≰1200100⨐⩸⫘(⫏≰2101000∙⊟⫏≰1121012))↼⊘⨖((≅≯⇸⫏≰1111220)≠≀⫏≰10001210⨚⫏≰21002201)/(((∷≠⫏≰22221012)⪭≯(⫏≰100010220↙⫏≰10120101))⩱)=NaN","reverse_text":"NaN=(⫏≰21002221⋥⋵⩄⫏≰1200100⨐⩸⫘(⫏≰2101000∙⊟⫏≰1121012))↼⊘⨖((≅≯⇸⫏≰1111220)≠≀⫏≰10001210⨚⫏≰21002201)/(((∷≠⫏≰22221012)⪭≯(⫏≰100010220↙⫏≰10120101))⩱)","cot":[{"info":"⫏≰21002221⋥⋵⩄⫏≰1200100=⫏≰11012","layer":3},{"info":"⫏≰2101000∙⊟⫏≰1121012=⫏≰1122022200","layer":3},{"info":"⫏≰11012⨐⩸⫘⫏≰1122022200=NaN","layer":2},{"info":"≅≯⇸⫏≰1111220=⫏≰121120220","layer":3},{"info":"⫏≰10001210⨚⫏≰21002201=⫏≰-202222200","layer":3},{"info":"⫏≰121120220≠≀⫏≰-202222200=⫏≰11020022","layer":2},{"info":"NaN↼⊘⨖⫏≰11020022=⫏≰22011101","layer":1},{"info":"∷≠⫏≰22221012=⫏≰22221012","layer":3},{"info":"⫏≰100010220↙⫏≰10120101=⫏≰-101201010","layer":3},{"info":"⫏≰22221012⪭≯⫏≰-101201010=NaN","layer":2},{"info":"NaN⩱=NaN","layer":1},{"info":"⫏≰22011101/NaN=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"(⊁⨺(($2439$+⇶⊼$1199$)⫻⋑⊟))≓∲($1870$↙$6568$⇼⇔∾($3456$↱$2095$)↪⪝)","expression":"(⊁⨺((⫏≰10100100+⇶⊼⫏≰1122102)⫻⋑⊟))≓∲(⫏≰2120021↙⫏≰100000021⇼⇔∾(⫏≰11202000↱⫏≰2212121)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7412,"operation_count":8,"complexity_ratio":926.5,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2439,"base":3},"right_expr":{"type":"numeric_atoms","value":1199,"base":3}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1870,"base":3},"right_expr":{"type":"numeric_atoms","value":6568,"base":3}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3456,"base":3},"right_expr":{"type":"numeric_atoms","value":2095,"base":3}}}}},"used_operators":["s1XTVnmDOJ","PxiHyQbrIp","o575Zjdmzy","TpPTUOHfaN","l07mrZUIn9","tifHPKVTfV","yyfyN0ffXY","SR5kFfdi6N"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2439","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=1199, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=nan","layer":1},{"info":"number node, value=1870","layer":4},{"info":"number node, value=6568","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=6568, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19704","layer":3},{"info":"number node, value=3456","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=2095, 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=-5763","layer":3},{"info":"compute binary expreesion, left_input=-19704, right_input=-5763, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=13941","layer":2},{"info":"compute unary expreesion, input=13941, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=852938262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=852938262, 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":3,"result_base":3,"text":"(⊁⨺((⫏≰10100100+⇶⊼⫏≰1122102)⫻⋑⊟))≓∲(⫏≰2120021↙⫏≰100000021⇼⇔∾(⫏≰11202000↱⫏≰2212121)↪⪝)=NaN","reverse_text":"NaN=(⊁⨺((⫏≰10100100+⇶⊼⫏≰1122102)⫻⋑⊟))≓∲(⫏≰2120021↙⫏≰100000021⇼⇔∾(⫏≰11202000↱⫏≰2212121)↪⪝)","cot":[{"info":"⫏≰10100100+⇶⊼⫏≰1122102=NaN","layer":3},{"info":"NaN⫻⋑⊟=NaN","layer":2},{"info":"⊁⨺NaN=NaN","layer":1},{"info":"⫏≰2120021↙⫏≰100000021=⫏≰-1000000210","layer":3},{"info":"⫏≰11202000↱⫏≰2212121=⫏≰-21220110","layer":3},{"info":"⫏≰-1000000210⇼⇔∾⫏≰-21220110=⫏≰201010100","layer":2},{"info":"⫏≰201010100↪⪝=⫏≰2012102221202100000","layer":1},{"info":"NaN≓∲⫏≰2012102221202100000=NaN","layer":0}]}
{"id":954,"expression_no_base_symbol":"∤↝((⪝⪂⫅$1215$)⨸($2612$*$1746$)+⇶⊼$1709$⇻⋧≁$5345$↢($2743$⫩))","expression":"∤↝((⪝⪂⫅⫏≰1200000)⨸(⫏≰10120202*⫏≰2101200)+⇶⊼⫏≰2100022⇻⋧≁⫏≰21022222↢(⫏≰10202121⫩))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":185169,"operation_count":8,"complexity_ratio":23146.125,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1215,"base":3}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2612,"base":3},"right_expr":{"type":"numeric_atoms","value":1746,"base":3}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1709,"base":3},"right_expr":{"type":"numeric_atoms","value":5345,"base":3}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":2743,"base":3}}}}},"used_operators":["3UMq87Qwqg","TpPTUOHfaN","KmoU8R5UQR","XTarYq4gQB","9HNa5Wba9A","WR6HLWljOP","jCPkEVoL5K","6aG7x05OhS"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","AHs5Up7iyr","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-178605","layer":3},{"info":"number node, value=2612","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=1746, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4560552","layer":3},{"info":"compute binary expreesion, left_input=-178605, right_input=4560552, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=357210","layer":2},{"info":"number node, value=1709","layer":4},{"info":"number node, value=5345","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=5345, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2743","layer":4},{"info":"compute unary expreesion, input=2743, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=357210, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"∤↝((⪝⪂⫅⫏≰1200000)⨸(⫏≰10120202*⫏≰2101200)+⇶⊼⫏≰2100022⇻⋧≁⫏≰21022222↢(⫏≰10202121⫩))=NaN","reverse_text":"NaN=∤↝((⪝⪂⫅⫏≰1200000)⨸(⫏≰10120202*⫏≰2101200)+⇶⊼⫏≰2100022⇻⋧≁⫏≰21022222↢(⫏≰10202121⫩))","cot":[{"info":"⪝⪂⫅⫏≰1200000=⫏≰-100002000000","layer":3},{"info":"⫏≰10120202*⫏≰2101200=⫏≰22120200220100","layer":3},{"info":"⫏≰-100002000000⨸⫏≰22120200220100=⫏≰200011000000","layer":2},{"info":"⫏≰2100022⇻⋧≁⫏≰21022222=⫏≰-121120","layer":3},{"info":"⫏≰10202121⫩=NaN","layer":3},{"info":"⫏≰-121120↢NaN=NaN","layer":2},{"info":"⫏≰200011000000+⇶⊼NaN=NaN","layer":1},{"info":"∤↝NaN=NaN","layer":0}]}
{"id":955,"expression_no_base_symbol":"($3527$⨑⩅≇$1383$∴≳≥)≳⇉$2293$⪃⊛⇣$1749$⨼⩣($1899$⫰⋱$5492$)⨑≵⋬($1962$∋$1264$⇄$1359$⊱⇼⊻$1226$⫌⩉⩟$2238$⨥⫆$6680$⩚⊴⇥$2022$⊲⩕⊾$6093$)","expression":"(⫏≰11211122⨑⩅≇⫏≰1220020∴≳≥)≳⇉⫏≰10010221⪃⊛⇣⫏≰2101210⨼⩣(⫏≰2121100⫰⋱⫏≰21112102)⨑≵⋬(⫏≰2200200∋⫏≰1201211⇄⫏≰1212100⊱⇼⊻⫏≰1200102⫌⩉⩟⫏≰10001220⨥⫆⫏≰100011102⩚⊴⇥⫏≰2202220⊲⩕⊾⫏≰22100200)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":424091,"operation_count":14,"complexity_ratio":30292.214285714286,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3527,"base":3},"right_expr":{"type":"numeric_atoms","value":1383,"base":3}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2293,"base":3},"right_expr":{"type":"numeric_atoms","value":1749,"base":3}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1899,"base":3},"right_expr":{"type":"numeric_atoms","value":5492,"base":3}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1962,"base":3},"right_expr":{"type":"numeric_atoms","value":1264,"base":3}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1359,"base":3},"right_expr":{"type":"numeric_atoms","value":1226,"base":3}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2238,"base":3},"right_expr":{"type":"numeric_atoms","value":6680,"base":3}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2022,"base":3},"right_expr":{"type":"numeric_atoms","value":6093,"base":3}}}}},"used_operators":["XnXgA4xnOs","V0kx6qeWkN","a3N2hFLK0J","h92wMvzauj","JxwMv5le6e","rrgAzCduG9","6o9Blt3TJ6","XIIwhv8d0m","3EYGwJThht","ukq6epAj5P","FyVja0WsTP","NTOWxs364D","yXekIHxTD4","DmTXOeWf9t"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3527","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=3527, right_input=1383, 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=-10581","layer":3},{"info":"compute unary expreesion, input=-10581, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-42324","layer":2},{"info":"number node, value=2293","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1749, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=5492","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=5492, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1866","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-1866, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-42324, right_input=nan, 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=1962","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=1264, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2667360","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=1226, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=2667360, right_input=434, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=2238","layer":4},{"info":"number node, value=6680","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=6680, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=13236","layer":3},{"info":"number node, value=2022","layer":4},{"info":"number node, value=6093","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=6093, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-89912","layer":3},{"info":"compute binary expreesion, left_input=13236, right_input=-89912, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=76555","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=76555, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰11211122⨑⩅≇⫏≰1220020∴≳≥)≳⇉⫏≰10010221⪃⊛⇣⫏≰2101210⨼⩣(⫏≰2121100⫰⋱⫏≰21112102)⨑≵⋬(⫏≰2200200∋⫏≰1201211⇄⫏≰1212100⊱⇼⊻⫏≰1200102⫌⩉⩟⫏≰10001220⨥⫆⫏≰100011102⩚⊴⇥⫏≰2202220⊲⩕⊾⫏≰22100200)=NaN","reverse_text":"NaN=(⫏≰11211122⨑⩅≇⫏≰1220020∴≳≥)≳⇉⫏≰10010221⪃⊛⇣⫏≰2101210⨼⩣(⫏≰2121100⫰⋱⫏≰21112102)⨑≵⋬(⫏≰2200200∋⫏≰1201211⇄⫏≰1212100⊱⇼⊻⫏≰1200102⫌⩉⩟⫏≰10001220⨥⫆⫏≰100011102⩚⊴⇥⫏≰2202220⊲⩕⊾⫏≰22100200)","cot":[{"info":"⫏≰11211122⨑⩅≇⫏≰1220020=⫏≰-112111220","layer":3},{"info":"⫏≰-112111220∴≳≥=⫏≰-2011001120","layer":2},{"info":"⫏≰10010221⪃⊛⇣⫏≰2101210=⫏≰1200201","layer":3},{"info":"⫏≰2121100⫰⋱⫏≰21112102=⫏≰-2120010","layer":3},{"info":"⫏≰1200201⨼⩣⫏≰-2120010=NaN","layer":2},{"info":"⫏≰-2011001120≳⇉NaN=NaN","layer":1},{"info":"⫏≰2200200∋⫏≰1201211=⫏≰12000111221010","layer":3},{"info":"⫏≰1212100⊱⇼⊻⫏≰1200102=⫏≰121002","layer":3},{"info":"⫏≰12000111221010⇄⫏≰121002=⫏≰0","layer":2},{"info":"⫏≰10001220⨥⫆⫏≰100011102=⫏≰200011020","layer":3},{"info":"⫏≰2202220⊲⩕⊾⫏≰22100200=⫏≰-11120100002","layer":3},{"info":"⫏≰200011020⩚⊴⇥⫏≰-11120100002=⫏≰10220000101","layer":2},{"info":"⫏≰0⫌⩉⩟⫏≰10220000101=⫏≰-1212","layer":1},{"info":"NaN⨑≵⋬⫏≰-1212=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"((($1320$∀⊥⇻)⊍⩺⋍$1361$⊋$1098$)↳≱(⋗⩴⪓$7879$⨚$1420$))⨿(($4615$⪶≀⋏$3009$-($2499$⊘))∘(($3029$⇪⋭)⪁$2146$⫯⪬∳$2160$))","expression":"(((⫏≰1210220∀⊥⇻)⊍⩺⋍⫏≰1212102⊋⫏≰1111200)↳≱(⋗⩴⪓⫏≰101210211⨚⫏≰1221121))⨿((⫏≰20022221⪶≀⋏⫏≰11010110-(⫏≰10102120⊘))∘((⫏≰11011012⇪⋭)⪁⫏≰2221111⫯⪬∳⫏≰2222000))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":20955,"operation_count":14,"complexity_ratio":1496.7857142857142,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1320,"base":3}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1361,"base":3},"right_expr":{"type":"numeric_atoms","value":1098,"base":3}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":7879,"base":3},"right_expr":{"type":"numeric_atoms","value":1420,"base":3}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4615,"base":3},"right_expr":{"type":"numeric_atoms","value":3009,"base":3}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2499,"base":3}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3029,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2146,"base":3},"right_expr":{"type":"numeric_atoms","value":2160,"base":3}}}}},"used_operators":["abYXlopdE0","JwTKLfZU96","OXDGMFPWZM","k4iM1060OG","W4tP9CfskL","nOKPl9n5zu","nREPSIbpBE","Z5m6OM72h2","rysDP5nf3Z","zR4jO40bMj","gu96TGCTMs","I7sXao9hZE","Z8Yg6dlDSp","d7ASUq0ydm"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","BjRHVeLaeN","12rbrZMWeM","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⫏≰11111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=1361","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=1098, 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=2458280","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2458280, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=7879","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=7879, right_input=1420, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=11012","layer":3},{"info":"compute unary expreesion, input=11012, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-10099","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10099, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=4615","layer":4},{"info":"number node, value=3009","layer":4},{"info":"compute binary expreesion, left_input=4615, right_input=3009, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-20095","layer":3},{"info":"number node, value=2499","layer":4},{"info":"compute unary expreesion, input=2499, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-20095, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-20095","layer":2},{"info":"number node, value=3029","layer":4},{"info":"compute unary expreesion, input=3029, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=2146","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=2160, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8603","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8603, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20095, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-40190","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-40190, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰1210220∀⊥⇻)⊍⩺⋍⫏≰1212102⊋⫏≰1111200)↳≱(⋗⩴⪓⫏≰101210211⨚⫏≰1221121))⨿((⫏≰20022221⪶≀⋏⫏≰11010110-(⫏≰10102120⊘))∘((⫏≰11011012⇪⋭)⪁⫏≰2221111⫯⪬∳⫏≰2222000))=⫏≰11111","reverse_text":"⫏≰11111=(((⫏≰1210220∀⊥⇻)⊍⩺⋍⫏≰1212102⊋⫏≰1111200)↳≱(⋗⩴⪓⫏≰101210211⨚⫏≰1221121))⨿((⫏≰20022221⪶≀⋏⫏≰11010110-(⫏≰10102120⊘))∘((⫏≰11011012⇪⋭)⪁⫏≰2221111⫯⪬∳⫏≰2222000))","cot":[{"info":"⫏≰1210220∀⊥⇻=⫏≰0","layer":3},{"info":"⫏≰1212102⊋⫏≰1111200=⫏≰11121220010102","layer":3},{"info":"⫏≰0⊍⩺⋍⫏≰11121220010102=NaN","layer":2},{"info":"⫏≰101210211⨚⫏≰1221121=⫏≰120002212","layer":3},{"info":"⋗⩴⪓⫏≰120002212=⫏≰-111212001","layer":2},{"info":"NaN↳≱⫏≰-111212001=⫏≰0","layer":1},{"info":"⫏≰20022221⪶≀⋏⫏≰11010110=⫏≰-1000120021","layer":3},{"info":"⫏≰10102120⊘=⫏≰0","layer":3},{"info":"⫏≰-1000120021-⫏≰0=⫏≰-1000120021","layer":2},{"info":"⫏≰11011012⇪⋭=NaN","layer":3},{"info":"⫏≰2221111⫯⪬∳⫏≰2222000=⫏≰102210122","layer":3},{"info":"NaN⪁⫏≰102210122=NaN","layer":2},{"info":"⫏≰-1000120021∘NaN=⫏≰-2001010112","layer":1},{"info":"⫏≰0⨿⫏≰-2001010112=⫏≰11111","layer":0}]}
{"id":957,"expression_no_base_symbol":"∤↝((⪫⨮⊛$2455$)⩧⪆$1553$⪬$2509$)⫯⪬∳(($1040$≬⋮$1012$)⨼⩣$4833$⫯⪬∳$1206$)","expression":"∤↝((⪫⨮⊛⫏≰10100221)⩧⪆⫏≰2010112⪬⫏≰10102221)⫯⪬∳((⫏≰1102112≬⋮⫏≰1101111)⨼⩣⫏≰20122000⫯⪬∳⫏≰1122200)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1479046,"operation_count":8,"complexity_ratio":184880.75,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2455,"base":3}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1553,"base":3},"right_expr":{"type":"numeric_atoms","value":2509,"base":3}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1040,"base":3},"right_expr":{"type":"numeric_atoms","value":1012,"base":3}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4833,"base":3},"right_expr":{"type":"numeric_atoms","value":1206,"base":3}}}}},"used_operators":["3UMq87Qwqg","d7ASUq0ydm","Ikt5ks8PT7","w5FWba1tyO","Ez1Nq5fNfI","JxwMv5le6e","kbkesczE7y"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eewbuw0ToL","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⫏≰11102121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":4},{"info":"compute unary expreesion, input=2455, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1553","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=2509, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1234","layer":2},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1012, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4833","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=4833, right_input=1206, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=22992","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=22992, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1234, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3229","layer":1},{"info":"compute unary expreesion, input=3229, 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=3229","layer":0}],"base":3,"result_base":3,"text":"∤↝((⪫⨮⊛⫏≰10100221)⩧⪆⫏≰2010112⪬⫏≰10102221)⫯⪬∳((⫏≰1102112≬⋮⫏≰1101111)⨼⩣⫏≰20122000⫯⪬∳⫏≰1122200)=⫏≰11102121","reverse_text":"⫏≰11102121=∤↝((⪫⨮⊛⫏≰10100221)⩧⪆⫏≰2010112⪬⫏≰10102221)⫯⪬∳((⫏≰1102112≬⋮⫏≰1101111)⨼⩣⫏≰20122000⫯⪬∳⫏≰1122200)","cot":[{"info":"⪫⨮⊛⫏≰10100221=NaN","layer":3},{"info":"⫏≰2010112⪬⫏≰10102221=⫏≰1200201","layer":3},{"info":"NaN⩧⪆⫏≰1200201=⫏≰-1200201","layer":2},{"info":"⫏≰1102112≬⋮⫏≰1101111=⫏≰1012011","layer":3},{"info":"⫏≰20122000⫯⪬∳⫏≰1122200=⫏≰1011112120","layer":3},{"info":"⫏≰1012011⨼⩣⫏≰1011112120=NaN","layer":2},{"info":"⫏≰-1200201⫯⪬∳NaN=⫏≰11102121","layer":1},{"info":"∤↝⫏≰11102121=⫏≰11102121","layer":0}]}
{"id":958,"expression_no_base_symbol":"(⫖→(∐⩳⋚$4571$)⨸$4342$⪬$1506$)∘(($2564$∠↢$7793$)⫁⪎($3236$⩧⪆$2043$))⨥⫆(-$1867$⋝⋈⪟$4070$)","expression":"(⫖→(∐⩳⋚⫏≰20021022)⨸⫏≰12221211⪬⫏≰2001210)∘((⫏≰10111222∠↢⫏≰101200122)⫁⪎(⫏≰11102212⩧⪆⫏≰2210200))⨥⫆(-⫏≰2120011⋝⋈⪟⫏≰12120202)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":672925,"operation_count":11,"complexity_ratio":61175.0,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":4571,"base":3}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4342,"base":3},"right_expr":{"type":"numeric_atoms","value":1506,"base":3}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2564,"base":3},"right_expr":{"type":"numeric_atoms","value":7793,"base":3}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3236,"base":3},"right_expr":{"type":"numeric_atoms","value":2043,"base":3}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1867,"base":3},"right_expr":{"type":"numeric_atoms","value":4070,"base":3}}}}},"used_operators":["Z5m6OM72h2","U4ylXWHChL","KmoU8R5UQR","SL6IHkK8vl","Ez1Nq5fNfI","yXekIHxTD4","xRrnTEsQ6j","KbjG8mgYpV","Ikt5ks8PT7","t8gj7n24qd","2DDjHMKMc0"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰21112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4571","layer":4},{"info":"compute unary expreesion, input=4571, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=671838","layer":3},{"info":"number node, value=4342","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=4342, right_input=1506, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=671838, right_input=1234, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1343676","layer":2},{"info":"compute unary expreesion, input=1343676, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=2564","layer":4},{"info":"number node, value=7793","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=7793, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-118276","layer":3},{"info":"number node, value=3236","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=2043, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2043","layer":3},{"info":"compute binary expreesion, left_input=-118276, right_input=-2043, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-116233","layer":2},{"info":"number node, value=1867","layer":4},{"info":"number node, value=4070","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=4070, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1867","layer":3},{"info":"compute unary expreesion, input=1867, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1867","layer":2},{"info":"compute binary expreesion, left_input=-116233, right_input=-1867, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-1, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=203","layer":0}],"base":3,"result_base":3,"text":"(⫖→(∐⩳⋚⫏≰20021022)⨸⫏≰12221211⪬⫏≰2001210)∘((⫏≰10111222∠↢⫏≰101200122)⫁⪎(⫏≰11102212⩧⪆⫏≰2210200))⨥⫆(-⫏≰2120011⋝⋈⪟⫏≰12120202)=⫏≰21112","reverse_text":"⫏≰21112=(⫖→(∐⩳⋚⫏≰20021022)⨸⫏≰12221211⪬⫏≰2001210)∘((⫏≰10111222∠↢⫏≰101200122)⫁⪎(⫏≰11102212⩧⪆⫏≰2210200))⨥⫆(-⫏≰2120011⋝⋈⪟⫏≰12120202)","cot":[{"info":"∐⩳⋚⫏≰20021022=⫏≰1021010120220","layer":3},{"info":"⫏≰12221211⪬⫏≰2001210=⫏≰1200201","layer":3},{"info":"⫏≰1021010120220⨸⫏≰1200201=⫏≰2112021011210","layer":2},{"info":"⫖→⫏≰2112021011210=⫏≰20120","layer":1},{"info":"⫏≰10111222∠↢⫏≰101200122=⫏≰-20000020121","layer":3},{"info":"⫏≰11102212⩧⪆⫏≰2210200=⫏≰-2210200","layer":3},{"info":"⫏≰-20000020121⫁⪎⫏≰-2210200=⫏≰-12220102221","layer":2},{"info":"⫏≰2120011⋝⋈⪟⫏≰12120202=⫏≰2120011","layer":3},{"info":"-⫏≰2120011=⫏≰-2120011","layer":2},{"info":"⫏≰-12220102221⨥⫆⫏≰-2120011=⫏≰-1","layer":1},{"info":"⫏≰20120∘⫏≰-1=⫏≰21112","layer":0}]}
{"id":959,"expression_no_base_symbol":"((⫟$7434$)⨓(⇜⊴$6277$))⫒⫫(⪫⨮⊛($2418$⨑≵⋬$1031$))∽($5162$⋥≓≎$5491$↰)⪬(↞≼($3239$⪭≯$2990$))","expression":"((⫟⫏≰101012100)⨓(⇜⊴⫏≰22121111))⫒⫫(⪫⨮⊛(⫏≰10022120⨑≵⋬⫏≰1102012))∽(⫏≰21002012⋥≓≎⫏≰21112101↰)⪬(↞≼(⫏≰11102222⪭≯⫏≰11002202))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3787597,"operation_count":12,"complexity_ratio":315633.0833333333,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":7434,"base":3}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":6277,"base":3}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2418,"base":3},"right_expr":{"type":"numeric_atoms","value":1031,"base":3}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5162,"base":3},"right_expr":{"type":"numeric_atoms","value":5491,"base":3}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3239,"base":3},"right_expr":{"type":"numeric_atoms","value":2990,"base":3}}}}},"used_operators":["y4ImoPnbV5","6Ko8hGgeMq","3ViojmjbAp","z4E1FaHLuy","XwDhCwWbUn","w5FWba1tyO","XnXgA4xnOs","Ez1Nq5fNfI","bl5wxAcryP","Qy55tPpLXF","DE7zCoGJt9","XAx5wpdLa6"],"dependent_operators":["NTOWxs364D","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","nCS4ZIUYfx","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=7434","layer":4},{"info":"compute unary expreesion, input=7434, 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=-21395","layer":3},{"info":"number node, value=6277","layer":4},{"info":"compute unary expreesion, input=6277, 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=-1467658","layer":3},{"info":"compute binary expreesion, left_input=-21395, right_input=-1467658, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1031, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=6252","layer":3},{"info":"compute unary expreesion, input=6252, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=5162","layer":4},{"info":"number node, value=5491","layer":4},{"info":"compute binary expreesion, left_input=5162, right_input=5491, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5853","layer":3},{"info":"compute unary expreesion, input=5853, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=5752","layer":2},{"info":"number node, value=3239","layer":4},{"info":"number node, value=2990","layer":4},{"info":"compute binary expreesion, left_input=3239, right_input=2990, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5752, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫟⫏≰101012100)⨓(⇜⊴⫏≰22121111))⫒⫫(⪫⨮⊛(⫏≰10022120⨑≵⋬⫏≰1102012))∽(⫏≰21002012⋥≓≎⫏≰21112101↰)⪬(↞≼(⫏≰11102222⪭≯⫏≰11002202))=NaN","reverse_text":"NaN=((⫟⫏≰101012100)⨓(⇜⊴⫏≰22121111))⫒⫫(⪫⨮⊛(⫏≰10022120⨑≵⋬⫏≰1102012))∽(⫏≰21002012⋥≓≎⫏≰21112101↰)⪬(↞≼(⫏≰11102222⪭≯⫏≰11002202))","cot":[{"info":"⫟⫏≰101012100=⫏≰-1002100102","layer":3},{"info":"⇜⊴⫏≰22121111=⫏≰-2202120020201","layer":3},{"info":"⫏≰-1002100102⨓⫏≰-2202120020201=NaN","layer":2},{"info":"⫏≰10022120⨑≵⋬⫏≰1102012=⫏≰22120120","layer":3},{"info":"⪫⨮⊛⫏≰22120120=NaN","layer":2},{"info":"NaN⫒⫫NaN=NaN","layer":1},{"info":"⫏≰21002012⋥≓≎⫏≰21112101=⫏≰22000210","layer":3},{"info":"⫏≰22000210↰=⫏≰21220001","layer":2},{"info":"⫏≰11102222⪭≯⫏≰11002202=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"⫏≰21220001⪬NaN=⫏≰1200201","layer":1},{"info":"NaN∽⫏≰1200201=NaN","layer":0}]}
{"id":960,"expression_no_base_symbol":"↥($1764$∓⋝$3890$⪎⩰)⪃⊛⇣(⊤⊝$7601$⊝⪿⪼$4366$)","expression":"↥(⫏≰2102100∓⋝⫏≰12100002⪎⩰)⪃⊛⇣(⊤⊝⫏≰101102112⊝⪿⪼⫏≰12222201)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":686,"operation_count":6,"complexity_ratio":114.33333333333333,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1764,"base":3},"right_expr":{"type":"numeric_atoms","value":3890,"base":3}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":7601,"base":3},"right_expr":{"type":"numeric_atoms","value":4366,"base":3}}}}},"used_operators":["A8NUZmVepG","rrgAzCduG9","2ufhKmSs5H","PoHhknlbAi","rXAclfmB4M","3Oe9XWJUTD"],"dependent_operators":["k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","sdazOOVcIp","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⫏≰101","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1764","layer":4},{"info":"number node, value=3890","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=3890, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-11141","layer":2},{"info":"number node, value=7601","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=7601, right_input=4366, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=99925","layer":3},{"info":"compute unary expreesion, input=99925, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=198552","layer":2},{"info":"compute binary expreesion, left_input=-11141, right_input=198552, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":0}],"base":3,"result_base":3,"text":"↥(⫏≰2102100∓⋝⫏≰12100002⪎⩰)⪃⊛⇣(⊤⊝⫏≰101102112⊝⪿⪼⫏≰12222201)=⫏≰101","reverse_text":"⫏≰101=↥(⫏≰2102100∓⋝⫏≰12100002⪎⩰)⪃⊛⇣(⊤⊝⫏≰101102112⊝⪿⪼⫏≰12222201)","cot":[{"info":"⫏≰2102100∓⋝⫏≰12100002=⫏≰2111","layer":3},{"info":"⫏≰2111⪎⩰=⫏≰-120021122","layer":2},{"info":"⫏≰101102112⊝⪿⪼⫏≰12222201=⫏≰12002001221","layer":3},{"info":"⊤⊝⫏≰12002001221=⫏≰101002100210","layer":2},{"info":"⫏≰-120021122⪃⊛⇣⫏≰101002100210=⫏≰1200201","layer":1},{"info":"↥⫏≰1200201=⫏≰101","layer":0}]}
{"id":961,"expression_no_base_symbol":"⇋⊎⋝(∥⊫($1039$⩠)≌($4617$⪬∳))","expression":"⇋⊎⋝(∥⊫(⫏≰1102111⩠)≌(⫏≰20100000⪬∳))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":528951,"operation_count":5,"complexity_ratio":105790.2,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1039,"base":3}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":4617,"base":3}}}}},"used_operators":["CzM2PEoXns","P8v4zCKN1o","lyWz822IDG","sJAwomhLZr","O9U3z1385E"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4617","layer":4},{"info":"compute unary expreesion, input=4617, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-709, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=6232","layer":2},{"info":"compute unary expreesion, input=6232, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7100","layer":1},{"info":"compute unary expreesion, input=7100, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⇋⊎⋝(∥⊫(⫏≰1102111⩠)≌(⫏≰20100000⪬∳))=NaN","reverse_text":"NaN=⇋⊎⋝(∥⊫(⫏≰1102111⩠)≌(⫏≰20100000⪬∳))","cot":[{"info":"⫏≰1102111⩠=⫏≰0","layer":3},{"info":"⫏≰20100000⪬∳=⫏≰-222021","layer":3},{"info":"⫏≰0≌⫏≰-222021=⫏≰22112211","layer":2},{"info":"∥⊫⫏≰22112211=⫏≰100201222","layer":1},{"info":"⇋⊎⋝⫏≰100201222=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"($5047$⇻⋧≁$1921$≫≃)⩚⊴⇥(($1012$⊲⩕⊾$2334$)⪘⨀)∠↢(⊗(($1307$⪓⨏)⪁(⋣$1730$)))","expression":"(⫏≰20220221⇻⋧≁⫏≰2122011≫≃)⩚⊴⇥((⫏≰1101111⊲⩕⊾⫏≰10012110)⪘⨀)∠↢(⊗((⫏≰1210102⪓⨏)⪁(⋣⫏≰2101002)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":515370,"operation_count":10,"complexity_ratio":51537.0,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5047,"base":3},"right_expr":{"type":"numeric_atoms","value":1921,"base":3}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1012,"base":3},"right_expr":{"type":"numeric_atoms","value":2334,"base":3}}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1307,"base":3}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1730,"base":3}}}}},"used_operators":["KbjG8mgYpV","NTOWxs364D","X99M06cbEe","jCPkEVoL5K","aA7tF3KVD3","DmTXOeWf9t","RhiyfpczSx","I7sXao9hZE","4X9JU4Jbn6","zQWRhDnn8F"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5047","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=5047, right_input=1921, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=507","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2334, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-36162","layer":3},{"info":"compute unary expreesion, input=-36162, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=72524","layer":2},{"info":"compute binary expreesion, left_input=507, right_input=72524, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-73152","layer":1},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"number node, value=1730","layer":4},{"info":"compute unary expreesion, input=1730, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-508525","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-508525, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-73152, right_input=nan, 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":3,"result_base":3,"text":"(⫏≰20220221⇻⋧≁⫏≰2122011≫≃)⩚⊴⇥((⫏≰1101111⊲⩕⊾⫏≰10012110)⪘⨀)∠↢(⊗((⫏≰1210102⪓⨏)⪁(⋣⫏≰2101002)))=NaN","reverse_text":"NaN=(⫏≰20220221⇻⋧≁⫏≰2122011≫≃)⩚⊴⇥((⫏≰1101111⊲⩕⊾⫏≰10012110)⪘⨀)∠↢(⊗((⫏≰1210102⪓⨏)⪁(⋣⫏≰2101002)))","cot":[{"info":"⫏≰20220221⇻⋧≁⫏≰2122011=⫏≰-121120","layer":3},{"info":"⫏≰-121120≫≃=⫏≰200210","layer":2},{"info":"⫏≰1101111⊲⩕⊾⫏≰10012110=⫏≰-1211121100","layer":3},{"info":"⫏≰-1211121100⪘⨀=⫏≰10200111002","layer":2},{"info":"⫏≰200210⩚⊴⇥⫏≰10200111002=⫏≰-10201100100","layer":1},{"info":"⫏≰1210102⪓⨏=NaN","layer":3},{"info":"⋣⫏≰2101002=⫏≰-221211120021","layer":3},{"info":"NaN⪁⫏≰-221211120021=NaN","layer":2},{"info":"⊗NaN=NaN","layer":1},{"info":"⫏≰-10201100100∠↢NaN=NaN","layer":0}]}
{"id":963,"expression_no_base_symbol":"(($4349$⊭∹↮)≴⪞⇿($7321$⊝)⩼⇪↪(($1950$⪨≂$1005$)⊱⇼⊻(⊑$1075$)))⫗⊷⫓(($3272$⪡$4273$⋅⇍($1503$∕⩚$1007$))⫿)","expression":"((⫏≰12222002⊭∹↮)≴⪞⇿(⫏≰101001011⊝)⩼⇪↪((⫏≰2200020⪨≂⫏≰1101020)⊱⇼⊻(⊑⫏≰1110211)))⫗⊷⫓((⫏≰11111012⪡⫏≰12212021⋅⇍(⫏≰2001200∕⩚⫏≰1101022))⫿)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1066471,"operation_count":12,"complexity_ratio":88872.58333333333,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4349,"base":3}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":7321,"base":3}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1950,"base":3},"right_expr":{"type":"numeric_atoms","value":1005,"base":3}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1075,"base":3}}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3272,"base":3},"right_expr":{"type":"numeric_atoms","value":4273,"base":3}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1503,"base":3},"right_expr":{"type":"numeric_atoms","value":1007,"base":3}}}}},"used_operators":["zashukvMKz","ocnLzx9CaJ","lvlrscuwVU","xNBdhnnwKq","O6EZ0fifGK","FyVja0WsTP","sdazOOVcIp","IkUmn0D7oy","9tKT6PmtkH","AdZkA7nFnk","oraRL2iQuh","z9ffQ9n5Zr"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4349","layer":4},{"info":"compute unary expreesion, input=4349, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8698","layer":3},{"info":"number node, value=7321","layer":4},{"info":"compute unary expreesion, input=7321, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=7321","layer":3},{"info":"compute binary expreesion, left_input=8698, right_input=7321, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=141961484","layer":2},{"info":"number node, value=1950","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=1005, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1992","layer":3},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=1992, right_input=192, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=10770","layer":2},{"info":"compute binary expreesion, left_input=141961484, right_input=10770, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=283846795","layer":1},{"info":"number node, value=3272","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=4273, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1503","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=1007, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1506","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-1506, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-680","layer":2},{"info":"compute unary expreesion, input=-680, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1360","layer":1},{"info":"compute binary expreesion, left_input=283846795, right_input=1360, 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":3,"result_base":3,"text":"((⫏≰12222002⊭∹↮)≴⪞⇿(⫏≰101001011⊝)⩼⇪↪((⫏≰2200020⪨≂⫏≰1101020)⊱⇼⊻(⊑⫏≰1110211)))⫗⊷⫓((⫏≰11111012⪡⫏≰12212021⋅⇍(⫏≰2001200∕⩚⫏≰1101022))⫿)=⫏≰-11222","reverse_text":"⫏≰-11222=((⫏≰12222002⊭∹↮)≴⪞⇿(⫏≰101001011⊝)⩼⇪↪((⫏≰2200020⪨≂⫏≰1101020)⊱⇼⊻(⊑⫏≰1110211)))⫗⊷⫓((⫏≰11111012⪡⫏≰12212021⋅⇍(⫏≰2001200∕⩚⫏≰1101022))⫿)","cot":[{"info":"⫏≰12222002⊭∹↮=⫏≰102221011","layer":3},{"info":"⫏≰101001011⊝=⫏≰101001011","layer":3},{"info":"⫏≰102221011≴⪞⇿⫏≰101001011=⫏≰100220010101112202","layer":2},{"info":"⫏≰2200020⪨≂⫏≰1101020=⫏≰2201210","layer":3},{"info":"⊑⫏≰1110211=⫏≰21010","layer":3},{"info":"⫏≰2201210⊱⇼⊻⫏≰21010=⫏≰112202220","layer":2},{"info":"⫏≰100220010101112202⩼⇪↪⫏≰112202220=⫏≰201210002220121021","layer":1},{"info":"⫏≰11111012⪡⫏≰12212021=⫏≰10222","layer":3},{"info":"⫏≰2001200∕⩚⫏≰1101022=⫏≰-2001210","layer":3},{"info":"⫏≰10222⋅⇍⫏≰-2001210=⫏≰-221012","layer":2},{"info":"⫏≰-221012⫿=⫏≰1212101","layer":1},{"info":"⫏≰201210002220121021⫗⊷⫓⫏≰1212101=⫏≰-11222","layer":0}]}
{"id":964,"expression_no_base_symbol":"(($1387$↳≱$2742$⨳⩥⨓$4192$⪥$5674$)⪷)⨐⩸⫘($1007$∊∟⩊$2331$↱$2013$⪭≯$1210$)≬⇓$1830$⋕⪉⪜$3024$⪎↠($2414$∘$1363$)","expression":"((⫏≰1220101↳≱⫏≰10202120⨳⩥⨓⫏≰12202021⪥⫏≰21210011)⪷)⨐⩸⫘(⫏≰1101022∊∟⩊⫏≰10012100↱⫏≰2202120⪭≯⫏≰1122211)≬⇓⫏≰2111210⋕⪉⪜⫏≰11011000⪎↠(⫏≰10022102∘⫏≰1212111)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22423,"operation_count":12,"complexity_ratio":1868.5833333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1387,"base":3},"right_expr":{"type":"numeric_atoms","value":2742,"base":3}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4192,"base":3},"right_expr":{"type":"numeric_atoms","value":5674,"base":3}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1007,"base":3},"right_expr":{"type":"numeric_atoms","value":2331,"base":3}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2013,"base":3},"right_expr":{"type":"numeric_atoms","value":1210,"base":3}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1830,"base":3},"right_expr":{"type":"numeric_atoms","value":3024,"base":3}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2414,"base":3},"right_expr":{"type":"numeric_atoms","value":1363,"base":3}}}}},"used_operators":["fu6greOZ01","Qctrpi3WzA","nCS4ZIUYfx","JwTKLfZU96","QbnwKVWMIQ","jWTQ2TZYIH","SR5kFfdi6N","ddLRYrp01A","XAx5wpdLa6","3tVxb0NHM4","z6LnFrNh4i","Z5m6OM72h2"],"dependent_operators":["3ViojmjbAp","Nsiff2A1zJ","W4YGzv6Whe","rysDP5nf3Z","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eH2TOUuTDT","rysDP5nf3Z"],"result":"⫏≰-201","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=2742, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=4192","layer":4},{"info":"number node, value=5674","layer":4},{"info":"compute binary expreesion, left_input=4192, right_input=5674, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=21420","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=21420, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=21420","layer":2},{"info":"compute unary expreesion, input=21420, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"number node, value=1007","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2331, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2331","layer":3},{"info":"number node, value=2013","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=1210, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2331, right_input=nan, 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=nan","layer":2},{"info":"number node, value=1830","layer":4},{"info":"number node, value=3024","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=3024, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=2414","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=1363, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4828","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=4828, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1072","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1072, 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=nan, right_input=-22, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-19","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1220101↳≱⫏≰10202120⨳⩥⨓⫏≰12202021⪥⫏≰21210011)⪷)⨐⩸⫘(⫏≰1101022∊∟⩊⫏≰10012100↱⫏≰2202120⪭≯⫏≰1122211)≬⇓⫏≰2111210⋕⪉⪜⫏≰11011000⪎↠(⫏≰10022102∘⫏≰1212111)=⫏≰-201","reverse_text":"⫏≰-201=((⫏≰1220101↳≱⫏≰10202120⨳⩥⨓⫏≰12202021⪥⫏≰21210011)⪷)⨐⩸⫘(⫏≰1101022∊∟⩊⫏≰10012100↱⫏≰2202120⪭≯⫏≰1122211)≬⇓⫏≰2111210⋕⪉⪜⫏≰11011000⪎↠(⫏≰10022102∘⫏≰1212111)","cot":[{"info":"⫏≰1220101↳≱⫏≰10202120=⫏≰0","layer":3},{"info":"⫏≰12202021⪥⫏≰21210011=⫏≰1002101100","layer":3},{"info":"⫏≰0⨳⩥⨓⫏≰1002101100=⫏≰1002101100","layer":2},{"info":"⫏≰1002101100⪷=NaN","layer":1},{"info":"⫏≰1101022∊∟⩊⫏≰10012100=⫏≰10012100","layer":3},{"info":"⫏≰2202120⪭≯⫏≰1122211=NaN","layer":3},{"info":"⫏≰10012100↱NaN=NaN","layer":2},{"info":"⫏≰2111210⋕⪉⪜⫏≰11011000=⫏≰21120","layer":3},{"info":"⫏≰10022102∘⫏≰1212111=⫏≰20121211","layer":3},{"info":"⫏≰21120⪎↠⫏≰20121211=⫏≰1110201","layer":2},{"info":"NaN≬⇓⫏≰1110201=⫏≰-211","layer":1},{"info":"NaN⨐⩸⫘⫏≰-211=⫏≰-201","layer":0}]}
{"id":965,"expression_no_base_symbol":"((↯⪼($4393$*$3671$))≬⋮((↔$1168$)⫳≱↱$1096$∇⊂⋱$3903$))∙⊟($4246$⪃⊛⇣$1265$⪪(≱⇩⩕$4140$))⇤(≸(↘$3550$))","expression":"((↯⪼(⫏≰20000201*⫏≰12000222))≬⋮((↔⫏≰1121021)⫳≱↱⫏≰1111121∇⊂⋱⫏≰12100120))∙⊟(⫏≰12211021⪃⊛⇣⫏≰1201212⪪(≱⇩⩕⫏≰12200100))⇤(≸(↘⫏≰11212111))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9250,"operation_count":13,"complexity_ratio":711.5384615384615,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4393,"base":3},"right_expr":{"type":"numeric_atoms","value":3671,"base":3}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1168,"base":3}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1096,"base":3},"right_expr":{"type":"numeric_atoms","value":3903,"base":3}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4246,"base":3},"right_expr":{"type":"numeric_atoms","value":1265,"base":3}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":4140,"base":3}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3550,"base":3}}}}},"used_operators":["SxTAKzQCrw","kbkesczE7y","8jW3W4yZS5","9HNa5Wba9A","ZvLB05nZmT","ruOEQAzv1W","nhYeJWJD5X","YSKBFp38Pu","xD69zh8xqp","rrgAzCduG9","3DZMoQKiUl","eOf03JbCpp","LdNpr8hQHL"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","uFcxV4UQCh"],"result":"⫏≰1001222121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4393","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=4393, right_input=3671, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16126703","layer":3},{"info":"compute unary expreesion, input=16126703, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-895","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=3903, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1646","layer":3},{"info":"compute binary expreesion, left_input=-895, right_input=1646, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-2802, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=4246","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=4246, right_input=1265, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=4140","layer":4},{"info":"compute unary expreesion, input=4140, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=113, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-182423","layer":2},{"info":"number node, value=3550","layer":4},{"info":"compute unary expreesion, input=3550, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=22","layer":3},{"info":"compute unary expreesion, input=22, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":2},{"info":"compute binary expreesion, left_input=-182423, right_input=351, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=913208","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=913208, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21130","layer":0}],"base":3,"result_base":3,"text":"((↯⪼(⫏≰20000201*⫏≰12000222))≬⋮((↔⫏≰1121021)⫳≱↱⫏≰1111121∇⊂⋱⫏≰12100120))∙⊟(⫏≰12211021⪃⊛⇣⫏≰1201212⪪(≱⇩⩕⫏≰12200100))⇤(≸(↘⫏≰11212111))=⫏≰1001222121","reverse_text":"⫏≰1001222121=((↯⪼(⫏≰20000201*⫏≰12000222))≬⋮((↔⫏≰1121021)⫳≱↱⫏≰1111121∇⊂⋱⫏≰12100120))∙⊟(⫏≰12211021⪃⊛⇣⫏≰1201212⪪(≱⇩⩕⫏≰12200100))⇤(≸(↘⫏≰11212111))","cot":[{"info":"⫏≰20000201*⫏≰12000222=⫏≰1010100022200022","layer":3},{"info":"↯⪼⫏≰1010100022200022=⫏≰-210","layer":2},{"info":"↔⫏≰1121021=⫏≰-1020011","layer":3},{"info":"⫏≰1111121∇⊂⋱⫏≰12100120=⫏≰2020222","layer":3},{"info":"⫏≰-1020011⫳≱↱⫏≰2020222=⫏≰-10211210","layer":2},{"info":"⫏≰-210≬⋮⫏≰-10211210=⫏≰1012011","layer":1},{"info":"⫏≰12211021⪃⊛⇣⫏≰1201212=⫏≰1200201","layer":3},{"info":"≱⇩⩕⫏≰12200100=⫏≰11012","layer":3},{"info":"⫏≰1200201⪪⫏≰11012=⫏≰-100021020102","layer":2},{"info":"↘⫏≰11212111=⫏≰211","layer":3},{"info":"≸⫏≰211=⫏≰111000","layer":2},{"info":"⫏≰-100021020102⇤⫏≰111000=⫏≰1201101200112","layer":1},{"info":"⫏≰1012011∙⊟⫏≰1201101200112=⫏≰1001222121","layer":0}]}
{"id":966,"expression_no_base_symbol":"(((⇘$1742$)≣⋋)≭(($3345$⇗⋫)⪨≂$2993$⇴∐$5279$))⪔(((⨡↴$1498$)⨽⪊≇)⊭∹↮)","expression":"(((⇘⫏≰2101112)≣⋋)≭((⫏≰11120220⇗⋫)⪨≂⫏≰11002212⇴∐⫏≰21020112))⪔(((⨡↴⫏≰2001111)⨽⪊≇)⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13299,"operation_count":10,"complexity_ratio":1329.9,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1742,"base":3}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":3345,"base":3}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2993,"base":3},"right_expr":{"type":"numeric_atoms","value":5279,"base":3}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1498,"base":3}}}}},"used_operators":["GjBEYRfMaF","rxpJgHHUmx","Tcnh7f0tEr","MGuIdZPyUC","sdazOOVcIp","hpqmaQFPrd","HnzytWxmAO","xNBdhnnwKq","nlCqmYiOvY","liw5iZPkLH"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rxpJgHHUmx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","W4YGzv6Whe","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1742","layer":4},{"info":"compute unary expreesion, input=1742, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=98902","layer":3},{"info":"compute unary expreesion, input=98902, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=3345","layer":4},{"info":"compute unary expreesion, input=3345, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=2993","layer":4},{"info":"number node, value=5279","layer":4},{"info":"compute binary expreesion, left_input=2993, right_input=5279, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1498","layer":4},{"info":"compute unary expreesion, input=1498, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2547","layer":3},{"info":"compute unary expreesion, input=2547, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=4568","layer":2},{"info":"compute unary expreesion, input=4568, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9136","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9136, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⇘⫏≰2101112)≣⋋)≭((⫏≰11120220⇗⋫)⪨≂⫏≰11002212⇴∐⫏≰21020112))⪔(((⨡↴⫏≰2001111)⨽⪊≇)⊭∹↮)=NaN","reverse_text":"NaN=(((⇘⫏≰2101112)≣⋋)≭((⫏≰11120220⇗⋫)⪨≂⫏≰11002212⇴∐⫏≰21020112))⪔(((⨡↴⫏≰2001111)⨽⪊≇)⊭∹↮)","cot":[{"info":"⇘⫏≰2101112=⫏≰12000200001","layer":3},{"info":"⫏≰12000200001≣⋋=⫏≰0","layer":2},{"info":"⫏≰11120220⇗⋫=NaN","layer":3},{"info":"⫏≰11002212⇴∐⫏≰21020112=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⫏≰0≭NaN=NaN","layer":1},{"info":"⨡↴⫏≰2001111=⫏≰10111100","layer":3},{"info":"⫏≰10111100⨽⪊≇=⫏≰20021012","layer":2},{"info":"⫏≰20021012⊭∹↮=⫏≰110112101","layer":1},{"info":"NaN⪔⫏≰110112101=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"⫖→((≘$8699$)↫)⨐⩸⫘(⫎≠⋺($4085$⪒$2613$))","expression":"⫖→((≘⫏≰102221012)↫)⨐⩸⫘(⫎≠⋺(⫏≰12121022⪒⫏≰10120210))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":508066,"operation_count":6,"complexity_ratio":84677.66666666667,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":8699,"base":3}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4085,"base":3},"right_expr":{"type":"numeric_atoms","value":2613,"base":3}}}}},"used_operators":["U4ylXWHChL","fu6greOZ01","uPb5QRN0te","tcjXMdvYtA","LYeZOJ0nQG","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","3ViojmjbAp","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰20120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=8699","layer":4},{"info":"compute unary expreesion, input=8699, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=19182079","layer":3},{"info":"compute unary expreesion, input=19182079, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"number node, value=4085","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=4085, right_input=2613, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6698","layer":3},{"info":"compute unary expreesion, input=-6698, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-709, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=712","layer":1},{"info":"compute unary expreesion, input=712, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":3,"result_base":3,"text":"⫖→((≘⫏≰102221012)↫)⨐⩸⫘(⫎≠⋺(⫏≰12121022⪒⫏≰10120210))=⫏≰20120","reverse_text":"⫏≰20120=⫖→((≘⫏≰102221012)↫)⨐⩸⫘(⫎≠⋺(⫏≰12121022⪒⫏≰10120210))","cot":[{"info":"≘⫏≰102221012=⫏≰1100002112212101","layer":3},{"info":"⫏≰1100002112212101↫=⫏≰12221","layer":2},{"info":"⫏≰12121022⪒⫏≰10120210=⫏≰-100012002","layer":3},{"info":"⫎≠⋺⫏≰-100012002=⫏≰-222021","layer":2},{"info":"⫏≰12221⨐⩸⫘⫏≰-222021=⫏≰222101","layer":1},{"info":"⫖→⫏≰222101=⫏≰20120","layer":0}]}
{"id":968,"expression_no_base_symbol":"(⊢≑≆($2192$⪛$2106$⩷∴(⋎⨆$6101$)))⇌⫙⪟(($6958$↼⊘⨖$7142$∵≐)⇄($6335$⨑≵⋬$2430$)⋛($5463$⪨≂$1407$))","expression":"(⊢≑≆(⫏≰10000012⪛⫏≰2220000⩷∴(⋎⨆⫏≰22100222)))⇌⫙⪟((⫏≰100112201↼⊘⨖⫏≰100210112∵≐)⇄(⫏≰22200122⨑≵⋬⫏≰10100000)⋛(⫏≰21111100⪨≂⫏≰1221010))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":362,"operation_count":11,"complexity_ratio":32.90909090909091,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2192,"base":3},"right_expr":{"type":"numeric_atoms","value":2106,"base":3}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":6101,"base":3}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":6958,"base":3},"right_expr":{"type":"numeric_atoms","value":7142,"base":3}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6335,"base":3},"right_expr":{"type":"numeric_atoms","value":2430,"base":3}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5463,"base":3},"right_expr":{"type":"numeric_atoms","value":1407,"base":3}}}}},"used_operators":["AFVx7xoS7T","27wFxooxGf","9FxExcQeMw","uFcxV4UQCh","E64sFOc4tB","3EYGwJThht","59igzFyhWz","bPywburJMS","YbUVn0Rbpy","XnXgA4xnOs","sdazOOVcIp"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰11012","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2192","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=2106, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=86","layer":3},{"info":"number node, value=6101","layer":4},{"info":"compute unary expreesion, input=6101, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=86, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=140","layer":2},{"info":"compute unary expreesion, input=140, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=-87","layer":1},{"info":"number node, value=6958","layer":4},{"info":"number node, value=7142","layer":4},{"info":"compute binary expreesion, left_input=6958, right_input=7142, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=14062","layer":3},{"info":"compute unary expreesion, input=14062, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=13116","layer":2},{"info":"number node, value=6335","layer":4},{"info":"number node, value=2430","layer":4},{"info":"compute binary expreesion, left_input=6335, right_input=2430, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=16044","layer":3},{"info":"number node, value=5463","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=5463, right_input=1407, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8214","layer":3},{"info":"compute binary expreesion, left_input=16044, right_input=8214, 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=12204","layer":2},{"info":"compute binary expreesion, left_input=13116, right_input=12204, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-87, right_input=0, 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":3,"result_base":3,"text":"(⊢≑≆(⫏≰10000012⪛⫏≰2220000⩷∴(⋎⨆⫏≰22100222)))⇌⫙⪟((⫏≰100112201↼⊘⨖⫏≰100210112∵≐)⇄(⫏≰22200122⨑≵⋬⫏≰10100000)⋛(⫏≰21111100⪨≂⫏≰1221010))=⫏≰11012","reverse_text":"⫏≰11012=(⊢≑≆(⫏≰10000012⪛⫏≰2220000⩷∴(⋎⨆⫏≰22100222)))⇌⫙⪟((⫏≰100112201↼⊘⨖⫏≰100210112∵≐)⇄(⫏≰22200122⨑≵⋬⫏≰10100000)⋛(⫏≰21111100⪨≂⫏≰1221010))","cot":[{"info":"⫏≰10000012⪛⫏≰2220000=⫏≰10012","layer":3},{"info":"⋎⨆⫏≰22100222=⫏≰0","layer":3},{"info":"⫏≰10012⩷∴⫏≰0=⫏≰12012","layer":2},{"info":"⊢≑≆⫏≰12012=⫏≰-10020","layer":1},{"info":"⫏≰100112201↼⊘⨖⫏≰100210112=⫏≰201021211","layer":3},{"info":"⫏≰201021211∵≐=⫏≰122222210","layer":2},{"info":"⫏≰22200122⨑≵⋬⫏≰10100000=⫏≰211000020","layer":3},{"info":"⫏≰21111100⪨≂⫏≰1221010=⫏≰102021020","layer":3},{"info":"⫏≰211000020⋛⫏≰102021020=⫏≰121202000","layer":2},{"info":"⫏≰122222210⇄⫏≰121202000=⫏≰0","layer":1},{"info":"⫏≰-10020⇌⫙⪟⫏≰0=⫏≰11012","layer":0}]}
{"id":969,"expression_no_base_symbol":"(⫇$3689$)↳∿⪆($1279$⨓$3178$)⨚⇆(≯($7332$⫚↹⊑$5242$))⩨(($6325$∙∹∝$7441$)+⇶⊼(⨡↴$3316$))↓(($5203$⇮⋭$1030$)≎⊠⪸$1836$≧⫂∧$1907$)","expression":"(⫇⫏≰12001122)↳∿⪆(⫏≰1202101⨓⫏≰11100201)⨚⇆(≯(⫏≰101001120⫚↹⊑⫏≰21012011))⩨((⫏≰22200021∙∹∝⫏≰101012121)+⇶⊼(⨡↴⫏≰11112211))↓((⫏≰21010201⇮⋭⫏≰1102011)≎⊠⪸⫏≰2112000≧⫂∧⫏≰2121122)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1721433,"operation_count":14,"complexity_ratio":122959.5,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":3689,"base":3}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1279,"base":3},"right_expr":{"type":"numeric_atoms","value":3178,"base":3}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":7332,"base":3},"right_expr":{"type":"numeric_atoms","value":5242,"base":3}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6325,"base":3},"right_expr":{"type":"numeric_atoms","value":7441,"base":3}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3316,"base":3}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5203,"base":3},"right_expr":{"type":"numeric_atoms","value":1030,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1836,"base":3},"right_expr":{"type":"numeric_atoms","value":1907,"base":3}}}}},"used_operators":["2DlMacCsIx","lwHaAYXP2r","Cw4SuJJGHO","YjI8oCXuph","3ViojmjbAp","keWfFq85dY","dfKe02y8D2","Af076pWI7l","TpPTUOHfaN","HmxsFra2vL","liw5iZPkLH","bJkvcejdHO","vkpjKywKVM","Ph9nP6C5qx"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g55IO6H4Gj","JLbD19bQDL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","P8v4zCKN1o","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3689","layer":4},{"info":"compute unary expreesion, input=3689, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-6164","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=3178","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=3178, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3181","layer":3},{"info":"compute binary expreesion, left_input=-6164, right_input=-3181, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=7332","layer":4},{"info":"number node, value=5242","layer":4},{"info":"compute binary expreesion, left_input=7332, right_input=5242, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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=6325","layer":4},{"info":"number node, value=7441","layer":4},{"info":"compute binary expreesion, left_input=6325, right_input=7441, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3316","layer":4},{"info":"compute unary expreesion, input=3316, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4365","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4365, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5203","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=1030, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=1907, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1434","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=1434, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=122507","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=122507, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫇⫏≰12001122)↳∿⪆(⫏≰1202101⨓⫏≰11100201)⨚⇆(≯(⫏≰101001120⫚↹⊑⫏≰21012011))⩨((⫏≰22200021∙∹∝⫏≰101012121)+⇶⊼(⨡↴⫏≰11112211))↓((⫏≰21010201⇮⋭⫏≰1102011)≎⊠⪸⫏≰2112000≧⫂∧⫏≰2121122)=NaN","reverse_text":"NaN=(⫇⫏≰12001122)↳∿⪆(⫏≰1202101⨓⫏≰11100201)⨚⇆(≯(⫏≰101001120⫚↹⊑⫏≰21012011))⩨((⫏≰22200021∙∹∝⫏≰101012121)+⇶⊼(⨡↴⫏≰11112211))↓((⫏≰21010201⇮⋭⫏≰1102011)≎⊠⪸⫏≰2112000≧⫂∧⫏≰2121122)","cot":[{"info":"⫇⫏≰12001122=⫏≰-22110022","layer":3},{"info":"⫏≰1202101⨓⫏≰11100201=⫏≰-11100211","layer":3},{"info":"⫏≰-22110022↳∿⪆⫏≰-11100211=NaN","layer":2},{"info":"⫏≰101001120⫚↹⊑⫏≰21012011=⫏≰-121120","layer":3},{"info":"≯⫏≰-121120=⫏≰0","layer":2},{"info":"NaN⨚⇆⫏≰0=NaN","layer":1},{"info":"⫏≰22200021∙∹∝⫏≰101012121=⫏≰0","layer":3},{"info":"⨡↴⫏≰11112211=⫏≰12222200","layer":3},{"info":"⫏≰0+⇶⊼⫏≰12222200=NaN","layer":2},{"info":"⫏≰21010201⇮⋭⫏≰1102011=⫏≰-122112","layer":3},{"info":"⫏≰2112000≧⫂∧⫏≰2121122=⫏≰1222010","layer":3},{"info":"⫏≰-122112≎⊠⪸⫏≰1222010=⫏≰20020001022","layer":2},{"info":"NaN↓⫏≰20020001022=⫏≰-11222","layer":1},{"info":"NaN⩨⫏≰-11222=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"≘((($4617$↺$8322$)⪢($3089$⊚⫡⫭))≁(($8136$⋓$3173$)⫁⪎$5564$⫗⊷⫓$1108$))","expression":"≘(((⫏≰20100000↺⫏≰102102020)⪢(⫏≰11020102⊚⫡⫭))≁((⫏≰102011100⋓⫏≰11100112)⫁⪎⫏≰21122002⫗⊷⫓⫏≰1112001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":867920,"operation_count":8,"complexity_ratio":108490.0,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4617,"base":3},"right_expr":{"type":"numeric_atoms","value":8322,"base":3}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":3089,"base":3}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8136,"base":3},"right_expr":{"type":"numeric_atoms","value":3173,"base":3}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5564,"base":3},"right_expr":{"type":"numeric_atoms","value":1108,"base":3}}}}},"used_operators":["tcjXMdvYtA","8N2wDY1A35","dWAJyo7jo9","7j4O788W3g","SpZWOsLKZJ","xRrnTEsQ6j","T2fj7uvVaJ","zashukvMKz"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=4617","layer":4},{"info":"number node, value=8322","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=8322, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8322","layer":3},{"info":"number node, value=3089","layer":4},{"info":"compute unary expreesion, input=3089, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-5252","layer":3},{"info":"compute binary expreesion, left_input=8322, right_input=-5252, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=8136","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=8136, right_input=3173, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=5564","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=5564, right_input=1108, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=134, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"≘(((⫏≰20100000↺⫏≰102102020)⪢(⫏≰11020102⊚⫡⫭))≁((⫏≰102011100⋓⫏≰11100112)⫁⪎⫏≰21122002⫗⊷⫓⫏≰1112001))=NaN","reverse_text":"NaN=≘(((⫏≰20100000↺⫏≰102102020)⪢(⫏≰11020102⊚⫡⫭))≁((⫏≰102011100⋓⫏≰11100112)⫁⪎⫏≰21122002⫗⊷⫓⫏≰1112001))","cot":[{"info":"⫏≰20100000↺⫏≰102102020=⫏≰102102020","layer":3},{"info":"⫏≰11020102⊚⫡⫭=⫏≰-21012112","layer":3},{"info":"⫏≰102102020⪢⫏≰-21012112=NaN","layer":2},{"info":"⫏≰102011100⋓⫏≰11100112=⫏≰0","layer":3},{"info":"⫏≰21122002⫗⊷⫓⫏≰1112001=⫏≰-11222","layer":3},{"info":"⫏≰0⫁⪎⫏≰-11222=⫏≰11222","layer":2},{"info":"NaN≁⫏≰11222=NaN","layer":1},{"info":"≘NaN=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"((⋼∭⪍$1180$)⪟⇏(⋎⨆$1462$)⊵↤)↓(($1517$⇣⩺⋵$1478$)⪥($8688$≓∲$2162$)∙⊟($1668$⊝⪿⪼$5628$)⩦(⊖∈$4746$))","expression":"((⋼∭⪍⫏≰1121201)⪟⇏(⋎⨆⫏≰2000011)⊵↤)↓((⫏≰2002012⇣⩺⋵⫏≰2000202)⪥(⫏≰102220210≓∲⫏≰2222002)∙⊟(⫏≰2021210⊝⪿⪼⫏≰21201110)⩦(⊖∈⫏≰20111210))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":799544,"operation_count":12,"complexity_ratio":66628.66666666667,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1180,"base":3}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1462,"base":3}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1517,"base":3},"right_expr":{"type":"numeric_atoms","value":1478,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":8688,"base":3},"right_expr":{"type":"numeric_atoms","value":2162,"base":3}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1668,"base":3},"right_expr":{"type":"numeric_atoms","value":5628,"base":3}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":4746,"base":3}}}}},"used_operators":["Af076pWI7l","7IPrd9c3lf","GODebY97qR","DbCuESL50I","E64sFOc4tB","SxTAKzQCrw","QbnwKVWMIQ","F4yD0voBRQ","s1XTVnmDOJ","0kmYd0q39Y","3Oe9XWJUTD","YFxL8Sc2Zy"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-2980","layer":3},{"info":"number node, value=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2980, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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=-50","layer":1},{"info":"number node, value=1517","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=1478, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=8688","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=8688, right_input=2162, 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=87663","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=87663, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=3612","layer":2},{"info":"number node, value=1668","layer":4},{"info":"number node, value=5628","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=5628, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=34952","layer":3},{"info":"number node, value=4746","layer":4},{"info":"compute unary expreesion, input=4746, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=89326","layer":3},{"info":"compute binary expreesion, left_input=34952, right_input=89326, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=69904","layer":2},{"info":"compute binary expreesion, left_input=3612, right_input=69904, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=56802","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=56802, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":3,"result_base":3,"text":"((⋼∭⪍⫏≰1121201)⪟⇏(⋎⨆⫏≰2000011)⊵↤)↓((⫏≰2002012⇣⩺⋵⫏≰2000202)⪥(⫏≰102220210≓∲⫏≰2222002)∙⊟(⫏≰2021210⊝⪿⪼⫏≰21201110)⩦(⊖∈⫏≰20111210))=⫏≰-11222","reverse_text":"⫏≰-11222=((⋼∭⪍⫏≰1121201)⪟⇏(⋎⨆⫏≰2000011)⊵↤)↓((⫏≰2002012⇣⩺⋵⫏≰2000202)⪥(⫏≰102220210≓∲⫏≰2222002)∙⊟(⫏≰2021210⊝⪿⪼⫏≰21201110)⩦(⊖∈⫏≰20111210))","cot":[{"info":"⋼∭⪍⫏≰1121201=⫏≰-11002101","layer":3},{"info":"⋎⨆⫏≰2000011=⫏≰0","layer":3},{"info":"⫏≰-11002101⪟⇏⫏≰0=⫏≰0","layer":2},{"info":"⫏≰0⊵↤=⫏≰-1212","layer":1},{"info":"⫏≰2002012⇣⩺⋵⫏≰2000202=⫏≰-100122","layer":3},{"info":"⫏≰102220210≓∲⫏≰2222002=⫏≰11110020210","layer":3},{"info":"⫏≰-100122⪥⫏≰11110020210=⫏≰11221210","layer":2},{"info":"⫏≰2021210⊝⪿⪼⫏≰21201110=⫏≰1202221112","layer":3},{"info":"⊖∈⫏≰20111210=⫏≰11112112101","layer":3},{"info":"⫏≰1202221112⩦⫏≰11112112101=⫏≰10112220001","layer":2},{"info":"⫏≰11221210∙⊟⫏≰10112220001=⫏≰2212220210","layer":1},{"info":"⫏≰-1212↓⫏≰2212220210=⫏≰-11222","layer":0}]}
{"id":972,"expression_no_base_symbol":"(($1739$⋻⩜⩜$4344$)↤⩊($1043$⇌⫙⪟$6122$)⫲≸⪮($3157$⩹$1148$)⇣⩺⋵($2400$+$3230$))⩁⩘(⋼∭⪍(⪛⨧($3600$⫸⇳$1586$)))","expression":"((⫏≰2101102⋻⩜⩜⫏≰12221220)↤⩊(⫏≰1102122⇌⫙⪟⫏≰22101202)⫲≸⪮(⫏≰11022221⩹⫏≰1120112)⇣⩺⋵(⫏≰10021220+⫏≰11102122))⩁⩘(⋼∭⪍(⪛⨧(⫏≰11221100⫸⇳⫏≰2011202)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":61111,"operation_count":11,"complexity_ratio":5555.545454545455,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1739,"base":3},"right_expr":{"type":"numeric_atoms","value":4344,"base":3}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1043,"base":3},"right_expr":{"type":"numeric_atoms","value":6122,"base":3}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3157,"base":3},"right_expr":{"type":"numeric_atoms","value":1148,"base":3}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2400,"base":3},"right_expr":{"type":"numeric_atoms","value":3230,"base":3}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3600,"base":3},"right_expr":{"type":"numeric_atoms","value":1586,"base":3}}}}},"used_operators":["gub5Cegaqo","P3lXMJvFrc","13rbtpv6ld","oDCm7WA9JY","AFVx7xoS7T","F4yD0voBRQ","2Wsdkap16l","W4YGzv6Whe","DbCuESL50I","6NJAcO2OWT","gx7XJ7hdpj"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1739","layer":4},{"info":"number node, value=4344","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=4344, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3478","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=6122","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=6122, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=3478, right_input=113, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=3157","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=1148, 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=1146","layer":3},{"info":"number node, value=2400","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=2400, right_input=3230, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5630","layer":3},{"info":"compute binary expreesion, left_input=1146, right_input=5630, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-6614","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6614, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=3600","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=1586, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1401","layer":2},{"info":"compute unary expreesion, input=1401, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3864","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3864, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2101102⋻⩜⩜⫏≰12221220)↤⩊(⫏≰1102122⇌⫙⪟⫏≰22101202)⫲≸⪮(⫏≰11022221⩹⫏≰1120112)⇣⩺⋵(⫏≰10021220+⫏≰11102122))⩁⩘(⋼∭⪍(⪛⨧(⫏≰11221100⫸⇳⫏≰2011202)))=NaN","reverse_text":"NaN=((⫏≰2101102⋻⩜⩜⫏≰12221220)↤⩊(⫏≰1102122⇌⫙⪟⫏≰22101202)⫲≸⪮(⫏≰11022221⩹⫏≰1120112)⇣⩺⋵(⫏≰10021220+⫏≰11102122))⩁⩘(⋼∭⪍(⪛⨧(⫏≰11221100⫸⇳⫏≰2011202)))","cot":[{"info":"⫏≰2101102⋻⩜⩜⫏≰12221220=⫏≰11202211","layer":3},{"info":"⫏≰1102122⇌⫙⪟⫏≰22101202=⫏≰11012","layer":3},{"info":"⫏≰11202211↤⩊⫏≰11012=NaN","layer":2},{"info":"⫏≰11022221⩹⫏≰1120112=⫏≰1120110","layer":3},{"info":"⫏≰10021220+⫏≰11102122=⫏≰21201112","layer":3},{"info":"⫏≰1120110⇣⩺⋵⫏≰21201112=⫏≰-100001222","layer":2},{"info":"NaN⫲≸⪮⫏≰-100001222=NaN","layer":1},{"info":"⫏≰11221100⫸⇳⫏≰2011202=⫏≰0","layer":3},{"info":"⪛⨧⫏≰0=⫏≰1220220","layer":2},{"info":"⋼∭⪍⫏≰1220220=⫏≰-12022010","layer":1},{"info":"NaN⩁⩘⫏≰-12022010=NaN","layer":0}]}
{"id":973,"expression_no_base_symbol":"(⊥$2544$)⊴($1615$⊀⩕)⇴(⊬↢($2745$≎⊠⪸$4162$))⫰⋱((⩦⩻⨪$5885$⪡$1356$)⇼⇔∾$7832$⫲≸⪮$1233$⩺⪪(↡$3107$))","expression":"(⊥⫏≰10111020)⊴(⫏≰2012211⊀⩕)⇴(⊬↢(⫏≰10202200≎⊠⪸⫏≰12201011))⫰⋱((⩦⩻⨪⫏≰22001222⪡⫏≰1212020)⇼⇔∾⫏≰101202002⫲≸⪮⫏≰1200200⩺⪪(↡⫏≰11021002))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":720087,"operation_count":13,"complexity_ratio":55391.307692307695,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2544,"base":3}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1615,"base":3}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2745,"base":3},"right_expr":{"type":"numeric_atoms","value":4162,"base":3}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5885,"base":3},"right_expr":{"type":"numeric_atoms","value":1356,"base":3}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":7832,"base":3},"right_expr":{"type":"numeric_atoms","value":1233,"base":3}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3107,"base":3}}}}},"used_operators":["6o9Blt3TJ6","4JB6nKBMSY","Nsiff2A1zJ","Q3PJZHRvZv","r0FS3hW4cC","WPoGxAaPR1","bJkvcejdHO","tifHPKVTfV","2td37pGCOC","oraRL2iQuh","uvdQJvN4PV","P3lXMJvFrc","MXaNJeIAZ3"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","sdazOOVcIp","NTOWxs364D","COABgblf1C","dWAJyo7jo9","14qkJME0vr","fu6greOZ01","rGHVDoGpnC","nhYeJWJD5X","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⫏≰10022111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"number node, value=2745","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=4162, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=710482","layer":3},{"info":"compute unary expreesion, input=710482, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=218, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-424","layer":1},{"info":"number node, value=5885","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=5885, right_input=1356, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=107","layer":2},{"info":"number node, value=7832","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=7832, right_input=1233, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7832","layer":3},{"info":"number node, value=3107","layer":4},{"info":"compute unary expreesion, input=3107, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=27963","layer":3},{"info":"compute binary expreesion, left_input=7832, right_input=27963, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=107, right_input=-1818, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1925","layer":1},{"info":"compute binary expreesion, left_input=-424, right_input=-1925, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=2416","layer":0}],"base":3,"result_base":3,"text":"(⊥⫏≰10111020)⊴(⫏≰2012211⊀⩕)⇴(⊬↢(⫏≰10202200≎⊠⪸⫏≰12201011))⫰⋱((⩦⩻⨪⫏≰22001222⪡⫏≰1212020)⇼⇔∾⫏≰101202002⫲≸⪮⫏≰1200200⩺⪪(↡⫏≰11021002))=⫏≰10022111","reverse_text":"⫏≰10022111=(⊥⫏≰10111020)⊴(⫏≰2012211⊀⩕)⇴(⊬↢(⫏≰10202200≎⊠⪸⫏≰12201011))⫰⋱((⩦⩻⨪⫏≰22001222⪡⫏≰1212020)⇼⇔∾⫏≰101202002⫲≸⪮⫏≰1200200⩺⪪(↡⫏≰11021002))","cot":[{"info":"⊥⫏≰10111020=NaN","layer":3},{"info":"⫏≰2012211⊀⩕=⫏≰0","layer":3},{"info":"NaN⊴⫏≰0=⫏≰-2221","layer":2},{"info":"⫏≰10202200≎⊠⪸⫏≰12201011=⫏≰1100002121011","layer":3},{"info":"⊬↢⫏≰1100002121011=⫏≰22002","layer":2},{"info":"⫏≰-2221⇴⫏≰22002=⫏≰-120201","layer":1},{"info":"⫏≰22001222⪡⫏≰1212020=⫏≰10222","layer":3},{"info":"⩦⩻⨪⫏≰10222=⫏≰10222","layer":2},{"info":"⫏≰101202002⫲≸⪮⫏≰1200200=⫏≰101202002","layer":3},{"info":"↡⫏≰11021002=⫏≰1102100200","layer":3},{"info":"⫏≰101202002⩺⪪⫏≰1102100200=⫏≰-2111100","layer":2},{"info":"⫏≰10222⇼⇔∾⫏≰-2111100=⫏≰-2122022","layer":1},{"info":"⫏≰-120201⫰⋱⫏≰-2122022=⫏≰10022111","layer":0}]}
{"id":974,"expression_no_base_symbol":"(($1204$↓$1049$)≎⪠($4344$≚⊃≕$6894$)⨸⪁($3616$≬⋮$2839$)⋝⋈⪟(⋼∭⪍$7305$))≧⫂∧((⪓⩚$5063$⫗⊷⫓$1072$)⪨⊡($1379$∣$2034$⪒$6064$⫃⨇$1239$))","expression":"((⫏≰1122121↓⫏≰1102212)≎⪠(⫏≰12221220≚⊃≕⫏≰100110100)⨸⪁(⫏≰11221221≬⋮⫏≰10220011)⋝⋈⪟(⋼∭⪍⫏≰101000120))≧⫂∧((⪓⩚⫏≰20221112⫗⊷⫓⫏≰1110201)⪨⊡(⫏≰1220002∣⫏≰2210100⪒⫏≰22022121⫃⨇⫏≰1200220))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":869787,"operation_count":14,"complexity_ratio":62127.642857142855,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1204,"base":3},"right_expr":{"type":"numeric_atoms","value":1049,"base":3}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4344,"base":3},"right_expr":{"type":"numeric_atoms","value":6894,"base":3}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3616,"base":3},"right_expr":{"type":"numeric_atoms","value":2839,"base":3}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":7305,"base":3}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5063,"base":3},"right_expr":{"type":"numeric_atoms","value":1072,"base":3}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1379,"base":3},"right_expr":{"type":"numeric_atoms","value":2034,"base":3}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":6064,"base":3},"right_expr":{"type":"numeric_atoms","value":1239,"base":3}}}}},"used_operators":["Ph9nP6C5qx","g55IO6H4Gj","aNhz54LH3e","Af076pWI7l","Bmrmz2XGnR","2DDjHMKMc0","kbkesczE7y","DbCuESL50I","kuIXHzHcAH","u0R0Locfp2","zashukvMKz","f6k1SAg4EE","PPChnnnBFF","09Ly4LVMIf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⫏≰-122112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=1049, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=4344","layer":4},{"info":"number node, value=6894","layer":4},{"info":"compute binary expreesion, left_input=4344, right_input=6894, 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":3},{"info":"compute binary expreesion, left_input=-134, right_input=67, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=3616","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=2839, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=7305","layer":4},{"info":"compute unary expreesion, input=7305, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-27480","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-27480, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=868, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=40852","layer":1},{"info":"number node, value=5063","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=5063, right_input=1072, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=1379","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=2034, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1379","layer":3},{"info":"number node, value=6064","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=6064, right_input=1239, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4988","layer":3},{"info":"compute binary expreesion, left_input=1379, right_input=-4988, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=3609","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=3609, 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=40852, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":3,"result_base":3,"text":"((⫏≰1122121↓⫏≰1102212)≎⪠(⫏≰12221220≚⊃≕⫏≰100110100)⨸⪁(⫏≰11221221≬⋮⫏≰10220011)⋝⋈⪟(⋼∭⪍⫏≰101000120))≧⫂∧((⪓⩚⫏≰20221112⫗⊷⫓⫏≰1110201)⪨⊡(⫏≰1220002∣⫏≰2210100⪒⫏≰22022121⫃⨇⫏≰1200220))=⫏≰-122112","reverse_text":"⫏≰-122112=((⫏≰1122121↓⫏≰1102212)≎⪠(⫏≰12221220≚⊃≕⫏≰100110100)⨸⪁(⫏≰11221221≬⋮⫏≰10220011)⋝⋈⪟(⋼∭⪍⫏≰101000120))≧⫂∧((⪓⩚⫏≰20221112⫗⊷⫓⫏≰1110201)⪨⊡(⫏≰1220002∣⫏≰2210100⪒⫏≰22022121⫃⨇⫏≰1200220))","cot":[{"info":"⫏≰1122121↓⫏≰1102212=⫏≰-11222","layer":3},{"info":"⫏≰12221220≚⊃≕⫏≰100110100=⫏≰2111","layer":3},{"info":"⫏≰-11222≎⪠⫏≰2111=⫏≰222211101","layer":2},{"info":"⫏≰11221221≬⋮⫏≰10220011=⫏≰1012011","layer":3},{"info":"⋼∭⪍⫏≰101000120=⫏≰-1101200210","layer":3},{"info":"⫏≰1012011⋝⋈⪟⫏≰-1101200210=⫏≰1012011","layer":2},{"info":"⫏≰222211101⨸⪁⫏≰1012011=⫏≰2002001001","layer":1},{"info":"⫏≰20221112⫗⊷⫓⫏≰1110201=⫏≰-11222","layer":3},{"info":"⪓⩚⫏≰-11222=⫏≰120210","layer":2},{"info":"⫏≰1220002∣⫏≰2210100=⫏≰1220002","layer":3},{"info":"⫏≰22022121⫃⨇⫏≰1200220=⫏≰-20211202","layer":3},{"info":"⫏≰1220002⪒⫏≰-20211202=⫏≰11221200","layer":2},{"info":"⫏≰120210⪨⊡⫏≰11221200=⫏≰0","layer":1},{"info":"⫏≰2002001001≧⫂∧⫏≰0=⫏≰-122112","layer":0}]}
{"id":975,"expression_no_base_symbol":"⋗⩬⋾($6234$⩌⋺$1540$↺($2923$⩹$7883$)⫳≱↱($1841$⪔$5000$)≀⫉(∓⪦$1113$))","expression":"⋗⩬⋾(⫏≰22112220⩌⋺⫏≰2010001↺(⫏≰11000021⩹⫏≰101210222)⫳≱↱(⫏≰2112012⪔⫏≰20212012)≀⫉(∓⪦⫏≰1112020))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5590,"operation_count":8,"complexity_ratio":698.75,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6234,"base":3},"right_expr":{"type":"numeric_atoms","value":1540,"base":3}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2923,"base":3},"right_expr":{"type":"numeric_atoms","value":7883,"base":3}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1841,"base":3},"right_expr":{"type":"numeric_atoms","value":5000,"base":3}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1113,"base":3}}}}},"used_operators":["DpFCA1CohY","ZvLB05nZmT","7j4O788W3g","g7Hmc5v1ko","2Wsdkap16l","oZj3VtZNQx","GjBEYRfMaF","D309nIvmXG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"⫏≰211200","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6234","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=6234, right_input=1540, 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=-7895","layer":3},{"info":"number node, value=2923","layer":4},{"info":"number node, value=7883","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=7883, 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=7881","layer":3},{"info":"compute binary expreesion, left_input=-7895, right_input=7881, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7881","layer":2},{"info":"number node, value=1841","layer":4},{"info":"number node, value=5000","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=5000, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=705","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=705, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=7881, right_input=2822, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute unary expreesion, input=-204, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=612","layer":0}],"base":3,"result_base":3,"text":"⋗⩬⋾(⫏≰22112220⩌⋺⫏≰2010001↺(⫏≰11000021⩹⫏≰101210222)⫳≱↱(⫏≰2112012⪔⫏≰20212012)≀⫉(∓⪦⫏≰1112020))=⫏≰211200","reverse_text":"⫏≰211200=⋗⩬⋾(⫏≰22112220⩌⋺⫏≰2010001↺(⫏≰11000021⩹⫏≰101210222)⫳≱↱(⫏≰2112012⪔⫏≰20212012)≀⫉(∓⪦⫏≰1112020))","cot":[{"info":"⫏≰22112220⩌⋺⫏≰2010001=⫏≰-101211102","layer":3},{"info":"⫏≰11000021⩹⫏≰101210222=⫏≰101210220","layer":3},{"info":"⫏≰-101211102↺⫏≰101210220=⫏≰101210220","layer":2},{"info":"⫏≰2112012⪔⫏≰20212012=⫏≰121200","layer":3},{"info":"∓⪦⫏≰1112020=⫏≰222010","layer":3},{"info":"⫏≰121200≀⫉⫏≰222010=⫏≰10212112","layer":2},{"info":"⫏≰101210220⫳≱↱⫏≰10212112=⫏≰-21120","layer":1},{"info":"⋗⩬⋾⫏≰-21120=⫏≰211200","layer":0}]}
{"id":976,"expression_no_base_symbol":"(⋼∭⪍((⫓⪴$3896$)≀⩗∶$2993$⊴$3117$))⨥⫆(⋠∜($6337$⨑⩅≇$3099$⋥≓≎($3293$⋫)))","expression":"(⋼∭⪍((⫓⪴⫏≰12100022)≀⩗∶⫏≰11002212⊴⫏≰11021110))⨥⫆(⋠∜(⫏≰22200201⨑⩅≇⫏≰11020210⋥≓≎(⫏≰11111222⋫)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13518,"operation_count":9,"complexity_ratio":1502.0,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3896,"base":3}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2993,"base":3},"right_expr":{"type":"numeric_atoms","value":3117,"base":3}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":6337,"base":3},"right_expr":{"type":"numeric_atoms","value":3099,"base":3}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3293,"base":3}}}}},"used_operators":["yXekIHxTD4","DbCuESL50I","8INZBEW696","eLxqMNBOBk","Nsiff2A1zJ","ZJpFhNJr3x","Qy55tPpLXF","h92wMvzauj","JL8yIekQnl"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3896","layer":4},{"info":"compute unary expreesion, input=3896, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15178816","layer":3},{"info":"number node, value=2993","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=2993, right_input=3117, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15178816, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=nan","layer":1},{"info":"number node, value=6337","layer":4},{"info":"number node, value=3099","layer":4},{"info":"compute binary expreesion, left_input=6337, right_input=3099, 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=-19011","layer":3},{"info":"number node, value=3293","layer":4},{"info":"compute unary expreesion, input=3293, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3293","layer":3},{"info":"compute binary expreesion, left_input=-19011, right_input=3293, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2552","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2552, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⋼∭⪍((⫓⪴⫏≰12100022)≀⩗∶⫏≰11002212⊴⫏≰11021110))⨥⫆(⋠∜(⫏≰22200201⨑⩅≇⫏≰11020210⋥≓≎(⫏≰11111222⋫)))=NaN","reverse_text":"NaN=(⋼∭⪍((⫓⪴⫏≰12100022)≀⩗∶⫏≰11002212⊴⫏≰11021110))⨥⫆(⋠∜(⫏≰22200201⨑⩅≇⫏≰11020210⋥≓≎(⫏≰11111222⋫)))","cot":[{"info":"⫓⪴⫏≰12100022=⫏≰1001120011102101","layer":3},{"info":"⫏≰11002212⊴⫏≰11021110=NaN","layer":3},{"info":"⫏≰1001120011102101≀⩗∶NaN=NaN","layer":2},{"info":"⋼∭⪍NaN=NaN","layer":1},{"info":"⫏≰22200201⨑⩅≇⫏≰11020210=⫏≰-222002010","layer":3},{"info":"⫏≰11111222⋫=⫏≰11111222","layer":3},{"info":"⫏≰-222002010⋥≓≎⫏≰11111222=⫏≰2111","layer":2},{"info":"⋠∜⫏≰2111=⫏≰10111112","layer":1},{"info":"NaN⨥⫆⫏≰10111112=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"⩰(($2574$≠≀$1101$)⫗⊷⫓($1270$∺≝⩲$1176$)+(⇖⫷⫕($1939$⇮⋭$1599$)))","expression":"⩰((⫏≰10112100≠≀⫏≰1111210)⫗⊷⫓(⫏≰1202001∺≝⩲⫏≰1121120)+(⇖⫷⫕(⫏≰2122211⇮⋭⫏≰2012020)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":88336,"operation_count":7,"complexity_ratio":12619.42857142857,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2574,"base":3},"right_expr":{"type":"numeric_atoms","value":1101,"base":3}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1270,"base":3},"right_expr":{"type":"numeric_atoms","value":1176,"base":3}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1939,"base":3},"right_expr":{"type":"numeric_atoms","value":1599,"base":3}}}}},"used_operators":["WkeUrDK8WX","W4YGzv6Whe","zashukvMKz","IwW236VD4Y","KPf6cnQVty","UHmRx3INFg","vkpjKywKVM"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⫏≰-12001121","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2574","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1101, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4842","layer":3},{"info":"number node, value=1270","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=1176, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-4842, 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":2},{"info":"number node, value=1939","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=1599, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=2822, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2688","layer":1},{"info":"compute unary expreesion, input=2688, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3688","layer":0}],"base":3,"result_base":3,"text":"⩰((⫏≰10112100≠≀⫏≰1111210)⫗⊷⫓(⫏≰1202001∺≝⩲⫏≰1121120)+(⇖⫷⫕(⫏≰2122211⇮⋭⫏≰2012020)))=⫏≰-12001121","reverse_text":"⫏≰-12001121=⩰((⫏≰10112100≠≀⫏≰1111210)⫗⊷⫓(⫏≰1202001∺≝⩲⫏≰1121120)+(⇖⫷⫕(⫏≰2122211⇮⋭⫏≰2012020)))","cot":[{"info":"⫏≰10112100≠≀⫏≰1111210=⫏≰-20122100","layer":3},{"info":"⫏≰1202001∺≝⩲⫏≰1121120=⫏≰12221","layer":3},{"info":"⫏≰-20122100⫗⊷⫓⫏≰12221=⫏≰-11222","layer":2},{"info":"⫏≰2122211⇮⋭⫏≰2012020=⫏≰-122112","layer":3},{"info":"⇖⫷⫕⫏≰-122112=⫏≰10212112","layer":2},{"info":"⫏≰-11222+⫏≰10212112=⫏≰10200120","layer":1},{"info":"⩰⫏≰10200120=⫏≰-12001121","layer":0}]}
{"id":978,"expression_no_base_symbol":"(⊆⋠(↩$5503$⫣⪄⊒$4318$))⋝⋈⪟(((⇾⩊⇾$2115$)⩉⊫⨁)⩉⊫⨁)","expression":"(⊆⋠(↩⫏≰21112211⫣⪄⊒⫏≰12220221))⋝⋈⪟(((⇾⩊⇾⫏≰2220100)⩉⊫⨁)⩉⊫⨁)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":97,"operation_count":7,"complexity_ratio":13.857142857142858,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5503,"base":3},"right_expr":{"type":"numeric_atoms","value":4318,"base":3}}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2115,"base":3}}}}},"used_operators":["2DDjHMKMc0","EBhcHTkKd8","jLgFTUHLKL","RabNbG55vr","7qqUquhhSb","bx9Z9DAK5y"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","7j4O788W3g","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5503","layer":4},{"info":"number node, value=4318","layer":4},{"info":"compute binary expreesion, left_input=5503, right_input=4318, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-15414","layer":3},{"info":"compute unary expreesion, input=-15414, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=64276","layer":2},{"info":"compute unary expreesion, input=64276, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-25521","layer":3},{"info":"compute unary expreesion, input=-25521, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-25521","layer":2},{"info":"compute unary expreesion, input=-25521, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-25521","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-25521, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":0}],"base":3,"result_base":3,"text":"(⊆⋠(↩⫏≰21112211⫣⪄⊒⫏≰12220221))⋝⋈⪟(((⇾⩊⇾⫏≰2220100)⩉⊫⨁)⩉⊫⨁)=⫏≰0","reverse_text":"⫏≰0=(⊆⋠(↩⫏≰21112211⫣⪄⊒⫏≰12220221))⋝⋈⪟(((⇾⩊⇾⫏≰2220100)⩉⊫⨁)⩉⊫⨁)","cot":[{"info":"⫏≰21112211⫣⪄⊒⫏≰12220221=⫏≰-210010220","layer":3},{"info":"↩⫏≰-210010220=⫏≰10021011121","layer":2},{"info":"⊆⋠⫏≰10021011121=⫏≰0","layer":1},{"info":"⇾⩊⇾⫏≰2220100=⫏≰-1022000020","layer":3},{"info":"⫏≰-1022000020⩉⊫⨁=⫏≰-1022000020","layer":2},{"info":"⫏≰-1022000020⩉⊫⨁=⫏≰-1022000020","layer":1},{"info":"⫏≰0⋝⋈⪟⫏≰-1022000020=⫏≰0","layer":0}]}
{"id":979,"expression_no_base_symbol":"(⨡↴$2155$≌$1323$)⩦($3537$↹⊜$1552$⩧⪆(⊤⊝$7808$))⫚↹⊑($3626$⇚⪠)⫸⊐$8955$≓∲$1461$⊭↱$3264$⇡⇂$1068$⪛$3033$⨽∌$1248$","expression":"(⨡↴⫏≰2221211≌⫏≰1211000)⩦(⫏≰11212000↹⊜⫏≰2010111⩧⪆(⊤⊝⫏≰101201012))⫚↹⊑(⫏≰11222022⇚⪠)⫸⊐⫏≰110021200≓∲⫏≰2000010⊭↱⫏≰11110220⇡⇂⫏≰1110120⪛⫏≰11011100⨽∌⫏≰1201020","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":11728,"operation_count":14,"complexity_ratio":837.7142857142857,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2155,"base":3},"right_expr":{"type":"numeric_atoms","value":1323,"base":3}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3537,"base":3},"right_expr":{"type":"numeric_atoms","value":1552,"base":3}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":7808,"base":3}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":3626,"base":3}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":8955,"base":3},"right_expr":{"type":"numeric_atoms","value":1461,"base":3}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3264,"base":3},"right_expr":{"type":"numeric_atoms","value":1068,"base":3}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3033,"base":3},"right_expr":{"type":"numeric_atoms","value":1248,"base":3}}}}},"used_operators":["dfKe02y8D2","0kmYd0q39Y","liw5iZPkLH","lyWz822IDG","Ikt5ks8PT7","9bazX3JMtO","rXAclfmB4M","COABgblf1C","mqXw5SEYmG","Loh9y4A90B","s1XTVnmDOJ","uFcxV4UQCh","UMwdvZNt44","9samAPKr6k"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sdazOOVcIp","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⫏≰-121120","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2155","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=2155, right_input=1323, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":2},{"info":"number node, value=3537","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=3537, right_input=1552, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=770","layer":3},{"info":"number node, value=7808","layer":4},{"info":"compute unary expreesion, input=7808, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=14318","layer":3},{"info":"compute binary expreesion, left_input=770, right_input=14318, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-14318","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14318, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"number node, value=3626","layer":4},{"info":"compute unary expreesion, input=3626, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=26295752","layer":3},{"info":"number node, value=8955","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=8955, right_input=1461, 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=90333","layer":3},{"info":"compute binary expreesion, left_input=26295752, right_input=90333, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=361207","layer":2},{"info":"number node, value=3264","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=3264, right_input=1068, 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":3},{"info":"number node, value=3033","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=1248, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=361207, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":3,"result_base":3,"text":"(⨡↴⫏≰2221211≌⫏≰1211000)⩦(⫏≰11212000↹⊜⫏≰2010111⩧⪆(⊤⊝⫏≰101201012))⫚↹⊑(⫏≰11222022⇚⪠)⫸⊐⫏≰110021200≓∲⫏≰2000010⊭↱⫏≰11110220⇡⇂⫏≰1110120⪛⫏≰11011100⨽∌⫏≰1201020=⫏≰-121120","reverse_text":"⫏≰-121120=(⨡↴⫏≰2221211≌⫏≰1211000)⩦(⫏≰11212000↹⊜⫏≰2010111⩧⪆(⊤⊝⫏≰101201012))⫚↹⊑(⫏≰11222022⇚⪠)⫸⊐⫏≰110021200≓∲⫏≰2000010⊭↱⫏≰11110220⇡⇂⫏≰1110120⪛⫏≰11011100⨽∌⫏≰1201020","cot":[{"info":"⫏≰2221211≌⫏≰1211000=NaN","layer":3},{"info":"⨡↴NaN=NaN","layer":2},{"info":"⫏≰11212000↹⊜⫏≰2010111=⫏≰1001112","layer":3},{"info":"⊤⊝⫏≰101201012=⫏≰201122022","layer":3},{"info":"⫏≰1001112⩧⪆⫏≰201122022=⫏≰-201122022","layer":2},{"info":"NaN⩦⫏≰-201122022=NaN","layer":1},{"info":"⫏≰11222022⇚⪠=⫏≰1211110221222202","layer":3},{"info":"⫏≰110021200≓∲⫏≰2000010=⫏≰11120220200","layer":3},{"info":"⫏≰1211110221222202⫸⊐⫏≰11120220200=⫏≰200100111001","layer":2},{"info":"⫏≰11110220⇡⇂⫏≰1110120=NaN","layer":3},{"info":"⫏≰11011100⨽∌⫏≰1201020=⫏≰0","layer":3},{"info":"NaN⪛⫏≰0=NaN","layer":2},{"info":"⫏≰200100111001⊭↱NaN=NaN","layer":1},{"info":"NaN⫚↹⊑NaN=⫏≰-121120","layer":0}]}
{"id":980,"expression_no_base_symbol":"(⇾⩊⇾($6695$⇂≾⫗$4602$⫲⨊))↱(($1524$⫗⊷⫓$1274$⋥⋵⩄($1968$⇩))⩅⪻⪻)","expression":"(⇾⩊⇾(⫏≰100011222⇂≾⫗⫏≰20022110⫲⨊))↱((⫏≰2002110⫗⊷⫓⫏≰1202012⋥⋵⩄(⫏≰2200220⇩))⩅⪻⪻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":989841,"operation_count":8,"complexity_ratio":123730.125,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":6695,"base":3},"right_expr":{"type":"numeric_atoms","value":4602,"base":3}}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1524,"base":3},"right_expr":{"type":"numeric_atoms","value":1274,"base":3}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1968,"base":3}}}}},"used_operators":["SR5kFfdi6N","bx9Z9DAK5y","CArV6hThFE","aBQ6xLxuTc","kHoXpA7yos","7t3wd0Fuz7","zashukvMKz","vRio1gEz1j"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe"],"result":"⫏≰-21200200221100","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=6695","layer":4},{"info":"number node, value=4602","layer":4},{"info":"compute binary expreesion, left_input=6695, right_input=4602, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-2597","layer":2},{"info":"compute unary expreesion, input=-2597, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=16887","layer":1},{"info":"number node, value=1524","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=1274, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1968","layer":4},{"info":"compute unary expreesion, input=1968, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=2061","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=2061, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=1362903","layer":1},{"info":"compute binary expreesion, left_input=16887, right_input=1362903, 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=-4088187","layer":0}],"base":3,"result_base":3,"text":"(⇾⩊⇾(⫏≰100011222⇂≾⫗⫏≰20022110⫲⨊))↱((⫏≰2002110⫗⊷⫓⫏≰1202012⋥⋵⩄(⫏≰2200220⇩))⩅⪻⪻)=⫏≰-21200200221100","reverse_text":"⫏≰-21200200221100=(⇾⩊⇾(⫏≰100011222⇂≾⫗⫏≰20022110⫲⨊))↱((⫏≰2002110⫗⊷⫓⫏≰1202012⋥⋵⩄(⫏≰2200220⇩))⩅⪻⪻)","cot":[{"info":"⫏≰100011222⇂≾⫗⫏≰20022110=⫏≰-221001","layer":3},{"info":"⫏≰-221001⫲⨊=⫏≰-10120012","layer":2},{"info":"⇾⩊⇾⫏≰-10120012=⫏≰212011110","layer":1},{"info":"⫏≰2002110⫗⊷⫓⫏≰1202012=⫏≰-11222","layer":3},{"info":"⫏≰2200220⇩=⫏≰2211100","layer":3},{"info":"⫏≰-11222⋥⋵⩄⫏≰2211100=⫏≰11012","layer":2},{"info":"⫏≰11012⩅⪻⪻=⫏≰2120020112220","layer":1},{"info":"⫏≰212011110↱⫏≰2120020112220=⫏≰-21200200221100","layer":0}]}
{"id":981,"expression_no_base_symbol":"((($2291$⫌⩉⩟$1900$)⩱)⩧⪆(⨣⨃⇪$2971$∴$1170$))⨂≜(($5642$≀⫉$4779$)⨥⫆(≱⇩⩕$1375$)⩷∴($7131$⫗⊷⫓$1168$⩠))","expression":"(((⫏≰10010212⫌⩉⩟⫏≰2121101)⩱)⩧⪆(⨣⨃⇪⫏≰11002001∴⫏≰1121100))⨂≜((⫏≰21201222≀⫉⫏≰20120000)⨥⫆(≱⇩⩕⫏≰1212221)⩷∴(⫏≰100210010⫗⊷⫓⫏≰1121021⩠))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":921290,"operation_count":12,"complexity_ratio":76774.16666666667,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2291,"base":3},"right_expr":{"type":"numeric_atoms","value":1900,"base":3}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2971,"base":3},"right_expr":{"type":"numeric_atoms","value":1170,"base":3}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5642,"base":3},"right_expr":{"type":"numeric_atoms","value":4779,"base":3}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1375,"base":3}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":7131,"base":3},"right_expr":{"type":"numeric_atoms","value":1168,"base":3}}}}},"used_operators":["k1SHOSEABc","Ikt5ks8PT7","uyq1hVkAcj","XIIwhv8d0m","AcOhelriW5","hrf7POJlIJ","9FxExcQeMw","yXekIHxTD4","oZj3VtZNQx","3DZMoQKiUl","sJAwomhLZr","zashukvMKz"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eewbuw0ToL","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2291","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=1900, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=50","layer":2},{"info":"number node, value=2971","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=1170, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7590","layer":3},{"info":"compute unary expreesion, input=7590, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=50, right_input=1405, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1405","layer":1},{"info":"number node, value=5642","layer":4},{"info":"number node, value=4779","layer":4},{"info":"compute binary expreesion, left_input=5642, right_input=4779, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1375","layer":4},{"info":"compute unary expreesion, input=1375, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=113, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=102","layer":2},{"info":"number node, value=7131","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=7131, right_input=1168, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=745","layer":2},{"info":"compute binary expreesion, left_input=102, right_input=745, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1318","layer":1},{"info":"compute binary expreesion, left_input=-1405, right_input=-1318, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(((⫏≰10010212⫌⩉⩟⫏≰2121101)⩱)⩧⪆(⨣⨃⇪⫏≰11002001∴⫏≰1121100))⨂≜((⫏≰21201222≀⫉⫏≰20120000)⨥⫆(≱⇩⩕⫏≰1212221)⩷∴(⫏≰100210010⫗⊷⫓⫏≰1121021⩠))=NaN","reverse_text":"NaN=(((⫏≰10010212⫌⩉⩟⫏≰2121101)⩱)⩧⪆(⨣⨃⇪⫏≰11002001∴⫏≰1121100))⨂≜((⫏≰21201222≀⫉⫏≰20120000)⨥⫆(≱⇩⩕⫏≰1212221)⩷∴(⫏≰100210010⫗⊷⫓⫏≰1121021⩠))","cot":[{"info":"⫏≰10010212⫌⩉⩟⫏≰2121101=⫏≰-1212","layer":3},{"info":"⫏≰-1212⩱=⫏≰1212","layer":2},{"info":"⫏≰11002001∴⫏≰1121100=⫏≰101102010","layer":3},{"info":"⨣⨃⇪⫏≰101102010=⫏≰1221001","layer":2},{"info":"⫏≰1212⩧⪆⫏≰1221001=⫏≰-1221001","layer":1},{"info":"⫏≰21201222≀⫉⫏≰20120000=⫏≰10212112","layer":3},{"info":"≱⇩⩕⫏≰1212221=⫏≰11012","layer":3},{"info":"⫏≰10212112⨥⫆⫏≰11012=⫏≰10210","layer":2},{"info":"⫏≰100210010⫗⊷⫓⫏≰1121021=⫏≰-11222","layer":3},{"info":"⫏≰-11222⩠=⫏≰1000121","layer":2},{"info":"⫏≰10210⩷∴⫏≰1000121=⫏≰-1210211","layer":1},{"info":"⫏≰-1221001⨂≜⫏≰-1210211=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"⇺⋃((($2348$%$1278$)⊵↤)⊫∞)","expression":"⇺⋃(((⫏≰10012222%⫏≰1202100)⊵↤)⊫∞)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":34026,"operation_count":4,"complexity_ratio":8506.5,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2348,"base":3},"right_expr":{"type":"numeric_atoms","value":1278,"base":3}}}}},"used_operators":["E5v5B3UAjG","pABnYW3G3E","7IPrd9c3lf","k8jYdgA6NY"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z"],"result":"⫏≰20021","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2348","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=1278, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1070","layer":3},{"info":"compute unary expreesion, input=1070, 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":2},{"info":"compute unary expreesion, input=67, 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 = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=169","layer":0}],"base":3,"result_base":3,"text":"⇺⋃(((⫏≰10012222%⫏≰1202100)⊵↤)⊫∞)=⫏≰20021","reverse_text":"⫏≰20021=⇺⋃(((⫏≰10012222%⫏≰1202100)⊵↤)⊫∞)","cot":[{"info":"⫏≰10012222%⫏≰1202100=⫏≰1110122","layer":3},{"info":"⫏≰1110122⊵↤=⫏≰2111","layer":2},{"info":"⫏≰2111⊫∞=⫏≰0","layer":1},{"info":"⇺⋃⫏≰0=⫏≰20021","layer":0}]}
{"id":983,"expression_no_base_symbol":"((↴⪽⋼$3438$)+⇶⊼(≯$5518$))⨻⩈⩔(⊥$4596$)⪔⊥($1576$⪭$7872$)⫃⨇($4519$≎⊠⪸$1049$⪨⊡$1494$⊮⊟↴$1549$)≹⇙⪍(($1467$⩘$7302$)∇⊂⋱$6632$⩁⩘$2417$)","expression":"((↴⪽⋼⫏≰11201100)+⇶⊼(≯⫏≰21120101))⨻⩈⩔(⊥⫏≰20022020)⪔⊥(⫏≰2011101⪭⫏≰101210120)⫃⨇(⫏≰20012101≎⊠⪸⫏≰1102212⪨⊡⫏≰2001100⊮⊟↴⫏≰2010101)≹⇙⪍((⫏≰2000100⩘⫏≰101000110)∇⊂⋱⫏≰100002122⩁⩘⫏≰10022112)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":51919,"operation_count":15,"complexity_ratio":3461.266666666667,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3438,"base":3}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":5518,"base":3}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4596,"base":3}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1576,"base":3},"right_expr":{"type":"numeric_atoms","value":7872,"base":3}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4519,"base":3},"right_expr":{"type":"numeric_atoms","value":1049,"base":3}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1494,"base":3},"right_expr":{"type":"numeric_atoms","value":1549,"base":3}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1467,"base":3},"right_expr":{"type":"numeric_atoms","value":7302,"base":3}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6632,"base":3},"right_expr":{"type":"numeric_atoms","value":2417,"base":3}}}}},"used_operators":["09Ly4LVMIf","nEsXyWgiOK","TpPTUOHfaN","5TUYCnJO6w","keWfFq85dY","HJ9erzHUuu","Q3PJZHRvZv","j9kHMeSvPp","AHs5Up7iyr","kuIXHzHcAH","bJkvcejdHO","QDVgd2eftb","nhYeJWJD5X","cHh1gJQ2o6","gub5Cegaqo"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","AHs5Up7iyr","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","g55IO6H4Gj","JLbD19bQDL","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","fu6greOZ01","COABgblf1C","xUOZtlo3hN","dWAJyo7jo9","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3438","layer":4},{"info":"compute unary expreesion, input=3438, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3438","layer":3},{"info":"number node, value=5518","layer":4},{"info":"compute unary expreesion, input=5518, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3438, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"number node, value=4596","layer":4},{"info":"compute unary expreesion, input=4596, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=7872","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=7872, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"number node, value=4519","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=4519, right_input=1049, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1169948","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1549, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1169948, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"number node, value=1467","layer":4},{"info":"number node, value=7302","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=7302, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=6632","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=6632, right_input=2417, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10616","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=10616, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-226","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=-226, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((↴⪽⋼⫏≰11201100)+⇶⊼(≯⫏≰21120101))⨻⩈⩔(⊥⫏≰20022020)⪔⊥(⫏≰2011101⪭⫏≰101210120)⫃⨇(⫏≰20012101≎⊠⪸⫏≰1102212⪨⊡⫏≰2001100⊮⊟↴⫏≰2010101)≹⇙⪍((⫏≰2000100⩘⫏≰101000110)∇⊂⋱⫏≰100002122⩁⩘⫏≰10022112)=NaN","reverse_text":"NaN=((↴⪽⋼⫏≰11201100)+⇶⊼(≯⫏≰21120101))⨻⩈⩔(⊥⫏≰20022020)⪔⊥(⫏≰2011101⪭⫏≰101210120)⫃⨇(⫏≰20012101≎⊠⪸⫏≰1102212⪨⊡⫏≰2001100⊮⊟↴⫏≰2010101)≹⇙⪍((⫏≰2000100⩘⫏≰101000110)∇⊂⋱⫏≰100002122⩁⩘⫏≰10022112)","cot":[{"info":"↴⪽⋼⫏≰11201100=⫏≰11201100","layer":3},{"info":"≯⫏≰21120101=⫏≰0","layer":3},{"info":"⫏≰11201100+⇶⊼⫏≰0=⫏≰0","layer":2},{"info":"⊥⫏≰20022020=NaN","layer":3},{"info":"⫏≰2011101⪭⫏≰101210120=⫏≰12","layer":3},{"info":"NaN⪔⊥⫏≰12=NaN","layer":2},{"info":"⫏≰0⨻⩈⩔NaN=NaN","layer":1},{"info":"⫏≰20012101≎⊠⪸⫏≰1102212=⫏≰2012102212102","layer":3},{"info":"⫏≰2001100⊮⊟↴⫏≰2010101=⫏≰0","layer":3},{"info":"⫏≰2012102212102⪨⊡⫏≰0=⫏≰1002020","layer":2},{"info":"⫏≰2000100⩘⫏≰101000110=⫏≰12221","layer":3},{"info":"⫏≰100002122⩁⩘⫏≰10022112=⫏≰112120012","layer":3},{"info":"⫏≰12221∇⊂⋱⫏≰112120012=⫏≰-22101","layer":2},{"info":"⫏≰1002020≹⇙⪍⫏≰-22101=NaN","layer":1},{"info":"NaN⫃⨇NaN=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"((-$2474$⫁$2562$)-(⇁⨣⪵$1076$⊹∫⫚$1592$))⊾⪯⋞(⩩((↘$5115$)⇣⩺⋵$1032$∳⫺$2290$))","expression":"((-⫏≰10101122⫁⫏≰10111220)-(⇁⨣⪵⫏≰1110212⊹∫⫚⫏≰2011222))⊾⪯⋞(⩩((↘⫏≰21000110)⇣⩺⋵⫏≰1102020∳⫺⫏≰10010211))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":69112,"operation_count":10,"complexity_ratio":6911.2,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2474,"base":3},"right_expr":{"type":"numeric_atoms","value":2562,"base":3}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1076,"base":3},"right_expr":{"type":"numeric_atoms","value":1592,"base":3}}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5115,"base":3}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1032,"base":3},"right_expr":{"type":"numeric_atoms","value":2290,"base":3}}}}},"used_operators":["HK0tfVPux8","rysDP5nf3Z","t8gj7n24qd","0ajvFaJAv0","inkyxCbjAn","uWAJUKEvyW","kMhfGuqI2H","F4yD0voBRQ","LdNpr8hQHL","AzXXKTstlj"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","cHh1gJQ2o6","AHs5Up7iyr","B5M0gjZbta","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","uFcxV4UQCh","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2474","layer":4},{"info":"number node, value=2562","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=2562, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-160","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=1592, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-364","layer":3},{"info":"compute unary expreesion, input=-364, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-160, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5115","layer":4},{"info":"compute unary expreesion, input=5115, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=19","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=2290, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-390","layer":3},{"info":"compute binary expreesion, left_input=19, right_input=-390, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((-⫏≰10101122⫁⫏≰10111220)-(⇁⨣⪵⫏≰1110212⊹∫⫚⫏≰2011222))⊾⪯⋞(⩩((↘⫏≰21000110)⇣⩺⋵⫏≰1102020∳⫺⫏≰10010211))=NaN","reverse_text":"NaN=((-⫏≰10101122⫁⫏≰10111220)-(⇁⨣⪵⫏≰1110212⊹∫⫚⫏≰2011222))⊾⪯⋞(⩩((↘⫏≰21000110)⇣⩺⋵⫏≰1102020∳⫺⫏≰10010211))","cot":[{"info":"⫏≰10101122⫁⫏≰10111220=⫏≰12221","layer":3},{"info":"-⫏≰12221=⫏≰-12221","layer":2},{"info":"⫏≰1110212⊹∫⫚⫏≰2011222=⫏≰-111111","layer":3},{"info":"⇁⨣⪵⫏≰-111111=NaN","layer":2},{"info":"⫏≰-12221-NaN=NaN","layer":1},{"info":"↘⫏≰21000110=⫏≰201","layer":3},{"info":"⫏≰1102020∳⫺⫏≰10010211=⫏≰-112110","layer":3},{"info":"⫏≰201⇣⩺⋵⫏≰-112110=⫏≰-100122","layer":2},{"info":"⩩⫏≰-100122=NaN","layer":1},{"info":"NaN⊾⪯⋞NaN=NaN","layer":0}]}
{"id":985,"expression_no_base_symbol":"(⇙⪊($2177$↬$2414$∝$5773$⩷∴$1981$))⨒($2025$⩨$6134$)⇴($1107$≥⨤⩑$1703$)⪶≀⋏(($2770$⨝⩣∺)⋻⩜⩜$1563$⪪$2336$)","expression":"(⇙⪊(⫏≰2222122↬⫏≰10022102∝⫏≰21220211⩷∴⫏≰2201101))⨒(⫏≰2210000⩨⫏≰22102012)⇴(⫏≰1112000≥⨤⩑⫏≰2100002)⪶≀⋏((⫏≰10210121⨝⩣∺)⋻⩜⩜⫏≰2010220⪪⫏≰10012112)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3254333,"operation_count":12,"complexity_ratio":271194.4166666667,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2177,"base":3},"right_expr":{"type":"numeric_atoms","value":2414,"base":3}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5773,"base":3},"right_expr":{"type":"numeric_atoms","value":1981,"base":3}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2025,"base":3},"right_expr":{"type":"numeric_atoms","value":6134,"base":3}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1107,"base":3},"right_expr":{"type":"numeric_atoms","value":1703,"base":3}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2770,"base":3}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1563,"base":3},"right_expr":{"type":"numeric_atoms","value":2336,"base":3}}}}},"used_operators":["y75s1iXyHd","pB6Fcnrjim","cTDWOvIxvz","B5M0gjZbta","9FxExcQeMw","zR4jO40bMj","4JB6nKBMSY","2DlMacCsIx","gJLn6v0xnP","oDCm7WA9JY","ancx8kZcWl","xD69zh8xqp"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DZ8iAZOCBD","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2177","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=2414, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5773","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=5773, right_input=1981, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7552","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7552, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=2025","layer":4},{"info":"number node, value=6134","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=6134, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1703, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=1234, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=2028","layer":2},{"info":"number node, value=2770","layer":4},{"info":"compute unary expreesion, input=2770, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-5540","layer":3},{"info":"number node, value=1563","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=2336, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-232102","layer":3},{"info":"compute binary expreesion, left_input=-5540, right_input=-232102, 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":2},{"info":"compute binary expreesion, left_input=2028, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⇙⪊(⫏≰2222122↬⫏≰10022102∝⫏≰21220211⩷∴⫏≰2201101))⨒(⫏≰2210000⩨⫏≰22102012)⇴(⫏≰1112000≥⨤⩑⫏≰2100002)⪶≀⋏((⫏≰10210121⨝⩣∺)⋻⩜⩜⫏≰2010220⪪⫏≰10012112)=NaN","reverse_text":"NaN=(⇙⪊(⫏≰2222122↬⫏≰10022102∝⫏≰21220211⩷∴⫏≰2201101))⨒(⫏≰2210000⩨⫏≰22102012)⇴(⫏≰1112000≥⨤⩑⫏≰2100002)⪶≀⋏((⫏≰10210121⨝⩣∺)⋻⩜⩜⫏≰2010220⪪⫏≰10012112)","cot":[{"info":"⫏≰2222122↬⫏≰10022102=NaN","layer":3},{"info":"⫏≰21220211⩷∴⫏≰2201101=⫏≰101100201","layer":3},{"info":"NaN∝⫏≰101100201=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"⫏≰2210000⩨⫏≰22102012=⫏≰-100","layer":3},{"info":"⫏≰1112000≥⨤⩑⫏≰2100002=⫏≰1200201","layer":3},{"info":"⫏≰-100⇴⫏≰1200201=⫏≰2210010","layer":2},{"info":"⫏≰10210121⨝⩣∺=⫏≰-21121012","layer":3},{"info":"⫏≰2010220⪪⫏≰10012112=⫏≰-102210101101","layer":3},{"info":"⫏≰-21121012⋻⩜⩜⫏≰-102210101101=NaN","layer":2},{"info":"⫏≰2210010⪶≀⋏NaN=NaN","layer":1},{"info":"NaN⨒NaN=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"(⇘($2795$⫁$3050$⪨⊡$3811$↳∿⪆$2326$))⪥(((∓⪦$1382$)⨒(↘$2102$))⨳⩥⨓($5857$⊉≛↸$1660$⫌⩉⩟$1071$⫁⪎$1918$))","expression":"(⇘(⫏≰10211112⫁⫏≰11011222⪨⊡⫏≰12020011↳∿⪆⫏≰10012011))⪥(((∓⪦⫏≰1220012)⨒(↘⫏≰2212212))⨳⩥⨓(⫏≰22000221⊉≛↸⫏≰2021111⫌⩉⩟⫏≰1110200⫁⪎⫏≰2122001))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":730757,"operation_count":12,"complexity_ratio":60896.416666666664,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2795,"base":3},"right_expr":{"type":"numeric_atoms","value":3050,"base":3}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3811,"base":3},"right_expr":{"type":"numeric_atoms","value":2326,"base":3}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1382,"base":3}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2102,"base":3}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5857,"base":3},"right_expr":{"type":"numeric_atoms","value":1660,"base":3}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1071,"base":3},"right_expr":{"type":"numeric_atoms","value":1918,"base":3}}}}},"used_operators":["QbnwKVWMIQ","MGuIdZPyUC","kuIXHzHcAH","0ajvFaJAv0","Cw4SuJJGHO","nCS4ZIUYfx","y75s1iXyHd","D309nIvmXG","LdNpr8hQHL","XIIwhv8d0m","DZ8iAZOCBD","xRrnTEsQ6j"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","cHh1gJQ2o6","AHs5Up7iyr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","uFcxV4UQCh","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⫏≰-11022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2795","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=2795, right_input=3050, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3811","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=3811, right_input=2326, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"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":2},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":1},{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=974","layer":3},{"info":"number node, value=2102","layer":4},{"info":"compute unary expreesion, input=2102, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=142","layer":3},{"info":"compute binary expreesion, left_input=974, right_input=142, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"number node, value=5857","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=5857, right_input=1660, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11714","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1918, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-847","layer":3},{"info":"compute binary expreesion, left_input=11714, right_input=-847, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":0}],"base":3,"result_base":3,"text":"(⇘(⫏≰10211112⫁⫏≰11011222⪨⊡⫏≰12020011↳∿⪆⫏≰10012011))⪥(((∓⪦⫏≰1220012)⨒(↘⫏≰2212212))⨳⩥⨓(⫏≰22000221⊉≛↸⫏≰2021111⫌⩉⩟⫏≰1110200⫁⪎⫏≰2122001))=⫏≰-11022","reverse_text":"⫏≰-11022=(⇘(⫏≰10211112⫁⫏≰11011222⪨⊡⫏≰12020011↳∿⪆⫏≰10012011))⪥(((∓⪦⫏≰1220012)⨒(↘⫏≰2212212))⨳⩥⨓(⫏≰22000221⊉≛↸⫏≰2021111⫌⩉⩟⫏≰1110200⫁⪎⫏≰2122001))","cot":[{"info":"⫏≰10211112⫁⫏≰11011222=⫏≰12221","layer":3},{"info":"⫏≰12020011↳∿⪆⫏≰10012011=NaN","layer":3},{"info":"⫏≰12221⪨⊡NaN=NaN","layer":2},{"info":"⇘NaN=NaN","layer":1},{"info":"∓⪦⫏≰1220012=⫏≰1100002","layer":3},{"info":"↘⫏≰2212212=⫏≰12021","layer":3},{"info":"⫏≰1100002⨒⫏≰12021=⫏≰0","layer":2},{"info":"⫏≰22000221⊉≛↸⫏≰2021111=⫏≰121001212","layer":3},{"info":"⫏≰1110200⫁⪎⫏≰2122001=⫏≰-1011101","layer":3},{"info":"⫏≰121001212⫌⩉⩟⫏≰-1011101=⫏≰-1212","layer":2},{"info":"⫏≰0⨳⩥⨓⫏≰-1212=⫏≰-1212","layer":1},{"info":"NaN⪥⫏≰-1212=⫏≰-11022","layer":0}]}
{"id":987,"expression_no_base_symbol":"(($3683$+⪬∐$4140$)⨑⩅≇($2382$∌↝$2636$))⨿(($3419$⩁⩘$1490$)⋥⋵⩄($5723$⪍↜⋙$1490$))↡⊰⫅($4029$⇼⇔∾$1315$∷($5923$⋆⋳)↛⩡⫤)","expression":"((⫏≰12001102+⪬∐⫏≰12200100)⨑⩅≇(⫏≰10021020∌↝⫏≰10121122))⨿((⫏≰11200122⩁⩘⫏≰2001012)⋥⋵⩄(⫏≰21211222⪍↜⋙⫏≰2001012))↡⊰⫅(⫏≰12112020⇼⇔∾⫏≰1210201∷(⫏≰22010101⋆⋳)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4010553,"operation_count":12,"complexity_ratio":334212.75,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3683,"base":3},"right_expr":{"type":"numeric_atoms","value":4140,"base":3}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2382,"base":3},"right_expr":{"type":"numeric_atoms","value":2636,"base":3}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3419,"base":3},"right_expr":{"type":"numeric_atoms","value":1490,"base":3}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5723,"base":3},"right_expr":{"type":"numeric_atoms","value":1490,"base":3}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4029,"base":3},"right_expr":{"type":"numeric_atoms","value":1315,"base":3}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":5923,"base":3}}}}},"used_operators":["VCtxkLNOzz","abYXlopdE0","h92wMvzauj","2GS7woTJqF","9Isq31Ruls","7t3wd0Fuz7","gub5Cegaqo","L05ObWFQCd","FU0Cs4j7VP","D3AQDKkPcf","tifHPKVTfV","6MpZysEj17"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3683","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=3683, right_input=4140, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11049","layer":3},{"info":"number node, value=2382","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=2636, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-11049, right_input=0, 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=-55","layer":2},{"info":"number node, value=3419","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=3419, right_input=1490, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6908","layer":3},{"info":"number node, value=5723","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=5723, right_input=1490, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=8466","layer":3},{"info":"compute binary expreesion, left_input=6908, right_input=8466, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=113, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":1},{"info":"number node, value=4029","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=4029, right_input=1315, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2714","layer":3},{"info":"number node, value=5923","layer":4},{"info":"compute unary expreesion, input=5923, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-11878","layer":3},{"info":"compute binary expreesion, left_input=-2714, right_input=-11878, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1920","layer":2},{"info":"compute unary expreesion, input=1920, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-286009","layer":1},{"info":"compute binary expreesion, left_input=121, right_input=-286009, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"((⫏≰12001102+⪬∐⫏≰12200100)⨑⩅≇(⫏≰10021020∌↝⫏≰10121122))⨿((⫏≰11200122⩁⩘⫏≰2001012)⋥⋵⩄(⫏≰21211222⪍↜⋙⫏≰2001012))↡⊰⫅(⫏≰12112020⇼⇔∾⫏≰1210201∷(⫏≰22010101⋆⋳)↛⩡⫤)=NaN","reverse_text":"NaN=((⫏≰12001102+⪬∐⫏≰12200100)⨑⩅≇(⫏≰10021020∌↝⫏≰10121122))⨿((⫏≰11200122⩁⩘⫏≰2001012)⋥⋵⩄(⫏≰21211222⪍↜⋙⫏≰2001012))↡⊰⫅(⫏≰12112020⇼⇔∾⫏≰1210201∷(⫏≰22010101⋆⋳)↛⩡⫤)","cot":[{"info":"⫏≰12001102+⪬∐⫏≰12200100=⫏≰-120011020","layer":3},{"info":"⫏≰10021020∌↝⫏≰10121122=⫏≰0","layer":3},{"info":"⫏≰-120011020⨑⩅≇⫏≰0=⫏≰-2001","layer":2},{"info":"⫏≰11200122⩁⩘⫏≰2001012=⫏≰100110212","layer":3},{"info":"⫏≰21211222⪍↜⋙⫏≰2001012=⫏≰102121120","layer":3},{"info":"⫏≰100110212⋥⋵⩄⫏≰102121120=⫏≰11012","layer":2},{"info":"⫏≰-2001⨿⫏≰11012=⫏≰11111","layer":1},{"info":"⫏≰12112020⇼⇔∾⫏≰1210201=⫏≰-10201112","layer":3},{"info":"⫏≰22010101⋆⋳=⫏≰-121021221","layer":3},{"info":"⫏≰-10201112∷⫏≰-121021221=⫏≰2122010","layer":2},{"info":"⫏≰2122010↛⩡⫤=⫏≰-112112022221","layer":1},{"info":"⫏≰11111↡⊰⫅⫏≰-112112022221=NaN","layer":0}]}
{"id":988,"expression_no_base_symbol":"⨆≐≲(($2129$⋕⪉⪜$7206$)⪝($1030$≧⫂∧$5631$))⇡⇂(($2401$⋭≵$2502$)⊴(↸⊣$4939$))","expression":"⨆≐≲((⫏≰2220212⋕⪉⪜⫏≰100212220)⪝(⫏≰1102011≧⫂∧⫏≰21201120))⇡⇂((⫏≰10021221⋭≵⫏≰10102200)⊴(↸⊣⫏≰20202221))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":63281,"operation_count":8,"complexity_ratio":7910.125,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2129,"base":3},"right_expr":{"type":"numeric_atoms","value":7206,"base":3}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1030,"base":3},"right_expr":{"type":"numeric_atoms","value":5631,"base":3}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2401,"base":3},"right_expr":{"type":"numeric_atoms","value":2502,"base":3}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":4939,"base":3}}}}},"used_operators":["Bi9z9uYZqW","UMwdvZNt44","wicAB68Tmb","z6LnFrNh4i","Ph9nP6C5qx","Nsiff2A1zJ","jBncVCNhdl","wztAlM01eG"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"⫏≰-22120012112","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2129","layer":4},{"info":"number node, value=7206","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=7206, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=5631","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=5631, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5158","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=5158, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"number node, value=2401","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=2502, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=4939","layer":4},{"info":"compute unary expreesion, input=4939, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-4652","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-4652, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=237, 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=-240","layer":1},{"info":"compute unary expreesion, input=-240, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":3,"result_base":3,"text":"⨆≐≲((⫏≰2220212⋕⪉⪜⫏≰100212220)⪝(⫏≰1102011≧⫂∧⫏≰21201120))⇡⇂((⫏≰10021221⋭≵⫏≰10102200)⊴(↸⊣⫏≰20202221))=⫏≰-22120012112","reverse_text":"⫏≰-22120012112=⨆≐≲((⫏≰2220212⋕⪉⪜⫏≰100212220)⪝(⫏≰1102011≧⫂∧⫏≰21201120))⇡⇂((⫏≰10021221⋭≵⫏≰10102200)⊴(↸⊣⫏≰20202221))","cot":[{"info":"⫏≰2220212⋕⪉⪜⫏≰100212220=⫏≰21120","layer":3},{"info":"⫏≰1102011≧⫂∧⫏≰21201120=⫏≰21002001","layer":3},{"info":"⫏≰21120⪝⫏≰21002001=⫏≰22210","layer":2},{"info":"⫏≰10021221⋭≵⫏≰10102200=⫏≰2111","layer":3},{"info":"↸⊣⫏≰20202221=⫏≰-20101022","layer":3},{"info":"⫏≰2111⊴⫏≰-20101022=NaN","layer":2},{"info":"⫏≰22210⇡⇂NaN=⫏≰-22220","layer":1},{"info":"⨆≐≲⫏≰-22220=⫏≰-22120012112","layer":0}]}
{"id":989,"expression_no_base_symbol":"(((⊽$3855$)⩹$5520$⫗⊷⫓$2330$)⫚⫇)⨟⋌⩍((⊵⊁$6167$)≄⊠(∥⊫$1154$))⨸(($1485$⊠≄⫣)⇪⋭)","expression":"(((⊽⫏≰12021210)⩹⫏≰21120110⫗⊷⫓⫏≰10012022)⫚⫇)⨟⋌⩍((⊵⊁⫏≰22110102)≄⊠(∥⊫⫏≰1120202))⨸((⫏≰2001000⊠≄⫣)⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1847006,"operation_count":11,"complexity_ratio":167909.63636363635,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":3855,"base":3}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5520,"base":3},"right_expr":{"type":"numeric_atoms","value":2330,"base":3}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":6167,"base":3}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1154,"base":3}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1485,"base":3}}}}},"used_operators":["rGHVDoGpnC","SdCjLnB6rR","2Wsdkap16l","QxG7OkqoLX","zashukvMKz","KmoU8R5UQR","vXNesLlMH1","AvED76WdY7","P8v4zCKN1o","Z8Yg6dlDSp","DIvbN7qnHd"],"dependent_operators":["Tcnh7f0tEr","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3855","layer":4},{"info":"compute unary expreesion, input=3855, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=9232","layer":3},{"info":"number node, value=5520","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=5520, right_input=2330, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=9232, right_input=-134, 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=-136","layer":2},{"info":"compute unary expreesion, input=-136, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1740","layer":1},{"info":"number node, value=6167","layer":4},{"info":"compute unary expreesion, input=6167, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=35932","layer":3},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2022","layer":3},{"info":"compute binary expreesion, left_input=35932, right_input=2022, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=37020","layer":2},{"info":"number node, value=1485","layer":4},{"info":"compute unary expreesion, input=1485, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=37020, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=74040","layer":1},{"info":"compute binary expreesion, left_input=-1740, right_input=74040, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":3,"result_base":3,"text":"(((⊽⫏≰12021210)⩹⫏≰21120110⫗⊷⫓⫏≰10012022)⫚⫇)⨟⋌⩍((⊵⊁⫏≰22110102)≄⊠(∥⊫⫏≰1120202))⨸((⫏≰2001000⊠≄⫣)⇪⋭)=NaN","reverse_text":"NaN=(((⊽⫏≰12021210)⩹⫏≰21120110⫗⊷⫓⫏≰10012022)⫚⫇)⨟⋌⩍((⊵⊁⫏≰22110102)≄⊠(∥⊫⫏≰1120202))⨸((⫏≰2001000⊠≄⫣)⇪⋭)","cot":[{"info":"⊽⫏≰12021210=⫏≰110122221","layer":3},{"info":"⫏≰21120110⫗⊷⫓⫏≰10012022=⫏≰-11222","layer":3},{"info":"⫏≰110122221⩹⫏≰-11222=⫏≰-12001","layer":2},{"info":"⫏≰-12001⫚⫇=⫏≰-2101110","layer":1},{"info":"⊵⊁⫏≰22110102=⫏≰1211021211","layer":3},{"info":"∥⊫⫏≰1120202=⫏≰2202220","layer":3},{"info":"⫏≰1211021211≄⊠⫏≰2202220=⫏≰1212210010","layer":2},{"info":"⫏≰2001000⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰0⇪⋭=⫏≰0","layer":2},{"info":"⫏≰1212210010⨸⫏≰0=⫏≰10202120020","layer":1},{"info":"⫏≰-2101110⨟⋌⩍⫏≰10202120020=NaN","layer":0}]}
{"id":990,"expression_no_base_symbol":"(($5612$⊓⋫)⊹∫⫚$2316$⫁⪎$2539$⋅⇍($1377$⇌⫙⪟$2335$⇼⇔∾($1684$⊭↱$1733$)))⫉⨲⊜(($3984$⨸$1407$↸($2031$⨴∎))⨎($3299$⫌⩹⨱)≠≀($9158$⇌⫙⪟$3835$))","expression":"((⫏≰21200212⊓⋫)⊹∫⫚⫏≰10011210⫁⪎⫏≰10111001⋅⇍(⫏≰1220000⇌⫙⪟⫏≰10012111⇼⇔∾(⫏≰2022101⊭↱⫏≰2101012)))⫉⨲⊜((⫏≰12110120⨸⫏≰1221010↸(⫏≰2210020⨴∎))⨎(⫏≰11112012⫌⩹⨱)≠≀(⫏≰110120012⇌⫙⪟⫏≰12021001))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6272,"operation_count":15,"complexity_ratio":418.1333333333333,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":5612,"base":3}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2316,"base":3},"right_expr":{"type":"numeric_atoms","value":2539,"base":3}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1377,"base":3},"right_expr":{"type":"numeric_atoms","value":2335,"base":3}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1684,"base":3},"right_expr":{"type":"numeric_atoms","value":1733,"base":3}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3984,"base":3},"right_expr":{"type":"numeric_atoms","value":1407,"base":3}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2031,"base":3}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3299,"base":3}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":9158,"base":3},"right_expr":{"type":"numeric_atoms","value":3835,"base":3}}}}},"used_operators":["WhqkvtTD3t","AdZkA7nFnk","uWAJUKEvyW","IqGBaFP0uj","xRrnTEsQ6j","tifHPKVTfV","AFVx7xoS7T","COABgblf1C","rJVOvQCfKK","1eCjFl0mb9","KmoU8R5UQR","CpSg5vQTgA","IwW236VD4Y","EBcxylXtPf"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫏≰-102110000","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=5612","layer":4},{"info":"compute unary expreesion, input=5612, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-5740","layer":3},{"info":"number node, value=2316","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=2316, right_input=2539, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-223","layer":3},{"info":"compute binary expreesion, left_input=-5740, right_input=-223, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-100","layer":2},{"info":"number node, value=1377","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=2335, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1733, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=103","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=103, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10","layer":2},{"info":"compute binary expreesion, left_input=-100, right_input=-10, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=3984","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=3984, right_input=1407, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7968","layer":3},{"info":"number node, value=2031","layer":4},{"info":"compute unary expreesion, input=2031, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7968, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=7968","layer":2},{"info":"number node, value=3299","layer":4},{"info":"compute unary expreesion, input=3299, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7999","layer":3},{"info":"number node, value=9158","layer":4},{"info":"number node, value=3835","layer":4},{"info":"compute binary expreesion, left_input=9158, right_input=3835, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=7999, right_input=113, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8233","layer":2},{"info":"compute binary expreesion, left_input=7968, right_input=-8233, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-8233","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-8233, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-8343","layer":0}],"base":3,"result_base":3,"text":"((⫏≰21200212⊓⋫)⊹∫⫚⫏≰10011210⫁⪎⫏≰10111001⋅⇍(⫏≰1220000⇌⫙⪟⫏≰10012111⇼⇔∾(⫏≰2022101⊭↱⫏≰2101012)))⫉⨲⊜((⫏≰12110120⨸⫏≰1221010↸(⫏≰2210020⨴∎))⨎(⫏≰11112012⫌⩹⨱)≠≀(⫏≰110120012⇌⫙⪟⫏≰12021001))=⫏≰-102110000","reverse_text":"⫏≰-102110000=((⫏≰21200212⊓⋫)⊹∫⫚⫏≰10011210⫁⪎⫏≰10111001⋅⇍(⫏≰1220000⇌⫙⪟⫏≰10012111⇼⇔∾(⫏≰2022101⊭↱⫏≰2101012)))⫉⨲⊜((⫏≰12110120⨸⫏≰1221010↸(⫏≰2210020⨴∎))⨎(⫏≰11112012⫌⩹⨱)≠≀(⫏≰110120012⇌⫙⪟⫏≰12021001))","cot":[{"info":"⫏≰21200212⊓⋫=⫏≰-21212121","layer":3},{"info":"⫏≰10011210⫁⪎⫏≰10111001=⫏≰-22021","layer":3},{"info":"⫏≰-21212121⊹∫⫚⫏≰-22021=⫏≰-10201","layer":2},{"info":"⫏≰1220000⇌⫙⪟⫏≰10012111=⫏≰11012","layer":3},{"info":"⫏≰2022101⊭↱⫏≰2101012=⫏≰10211","layer":3},{"info":"⫏≰11012⇼⇔∾⫏≰10211=⫏≰-101","layer":2},{"info":"⫏≰-10201⋅⇍⫏≰-101=⫏≰-211","layer":1},{"info":"⫏≰12110120⨸⫏≰1221010=⫏≰101221010","layer":3},{"info":"⫏≰2210020⨴∎=NaN","layer":3},{"info":"⫏≰101221010↸NaN=⫏≰101221010","layer":2},{"info":"⫏≰11112012⫌⩹⨱=⫏≰101222021","layer":3},{"info":"⫏≰110120012⇌⫙⪟⫏≰12021001=⫏≰11012","layer":3},{"info":"⫏≰101222021≠≀⫏≰11012=⫏≰-102021221","layer":2},{"info":"⫏≰101221010⨎⫏≰-102021221=⫏≰-102021221","layer":1},{"info":"⫏≰-211⫉⨲⊜⫏≰-102021221=⫏≰-102110000","layer":0}]}
{"id":991,"expression_no_base_symbol":"(≸≮($4574$⊕∕$4525$⋥≓≎($3979$⨴∎)))⪥⨬⪅","expression":"(≸≮(⫏≰20021102⊕∕⫏≰20012121⋥≓≎(⫏≰12110101⨴∎)))⪥⨬⪅","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4146,"operation_count":5,"complexity_ratio":829.2,"tree":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4574,"base":3},"right_expr":{"type":"numeric_atoms","value":4525,"base":3}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":3979,"base":3}}}}},"used_operators":["zNRQejTB5A","AljMvE3RRm","Qy55tPpLXF","9cloC0Ngie","CpSg5vQTgA"],"dependent_operators":["d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=4574","layer":4},{"info":"number node, value=4525","layer":4},{"info":"compute binary expreesion, left_input=4574, right_input=4525, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4574","layer":3},{"info":"number node, value=3979","layer":4},{"info":"compute unary expreesion, input=3979, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4574, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(≸≮(⫏≰20021102⊕∕⫏≰20012121⋥≓≎(⫏≰12110101⨴∎)))⪥⨬⪅=NaN","reverse_text":"NaN=(≸≮(⫏≰20021102⊕∕⫏≰20012121⋥≓≎(⫏≰12110101⨴∎)))⪥⨬⪅","cot":[{"info":"⫏≰20021102⊕∕⫏≰20012121=⫏≰20021102","layer":3},{"info":"⫏≰12110101⨴∎=NaN","layer":3},{"info":"⫏≰20021102⋥≓≎NaN=NaN","layer":2},{"info":"≸≮NaN=NaN","layer":1},{"info":"NaN⪥⨬⪅=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"($1122$⨂≜$2709$⪕($3349$∁))⋣⋖(($1224$∽$1000$)⪡$1109$≝⊿$1788$)+($1457$⫗⊷⫓$2232$≬⇓(↪⫪⫘$1469$))⨐⩸⫘($1650$⩹$8114$)⇷(↥$4229$)","expression":"(⫏≰1112120⨂≜⫏≰10201100⪕(⫏≰11121001∁))⋣⋖((⫏≰1200100∽⫏≰1101001)⪡⫏≰1112002≝⊿⫏≰2110020)+(⫏≰1222222⫗⊷⫓⫏≰10001200≬⇓(↪⫪⫘⫏≰2000102))⨐⩸⫘(⫏≰2021010⩹⫏≰102010112)⇷(↥⫏≰12210122)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1858104,"operation_count":15,"complexity_ratio":123873.6,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1122,"base":3},"right_expr":{"type":"numeric_atoms","value":2709,"base":3}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":3349,"base":3}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1224,"base":3},"right_expr":{"type":"numeric_atoms","value":1000,"base":3}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1109,"base":3},"right_expr":{"type":"numeric_atoms","value":1788,"base":3}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1457,"base":3},"right_expr":{"type":"numeric_atoms","value":2232,"base":3}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1469,"base":3}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1650,"base":3},"right_expr":{"type":"numeric_atoms","value":8114,"base":3}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4229,"base":3}}}}},"used_operators":["W4YGzv6Whe","J0M6qkBnIM","umQnsF7QlU","k1SHOSEABc","jdwGQqwJi5","oraRL2iQuh","y4ImoPnbV5","OKKcZfAt5B","fu6greOZ01","jWTQ2TZYIH","zashukvMKz","9dWsAM3GFt","mp7IySMOzn","2Wsdkap16l","A8NUZmVepG"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","2DDjHMKMc0","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","QMFrweE19q","12rbrZMWeM","3ViojmjbAp","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2709, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3349","layer":4},{"info":"compute unary expreesion, input=3349, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=3349","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3349, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":2},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1000, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-8942","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1788, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5218","layer":3},{"info":"compute binary expreesion, left_input=-8942, right_input=-5218, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=18852","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18852, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"number node, value=1457","layer":4},{"info":"number node, value=2232","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=2232, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1469","layer":4},{"info":"compute unary expreesion, input=1469, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=20, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"number node, value=1650","layer":4},{"info":"number node, value=8114","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=8114, 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=8112","layer":3},{"info":"number node, value=4229","layer":4},{"info":"compute unary expreesion, input=4229, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":3},{"info":"compute binary expreesion, left_input=8112, right_input=47, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=94","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=94, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-97","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-97, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⫏≰1112120⨂≜⫏≰10201100⪕(⫏≰11121001∁))⋣⋖((⫏≰1200100∽⫏≰1101001)⪡⫏≰1112002≝⊿⫏≰2110020)+(⫏≰1222222⫗⊷⫓⫏≰10001200≬⇓(↪⫪⫘⫏≰2000102))⨐⩸⫘(⫏≰2021010⩹⫏≰102010112)⇷(↥⫏≰12210122)=NaN","reverse_text":"NaN=(⫏≰1112120⨂≜⫏≰10201100⪕(⫏≰11121001∁))⋣⋖((⫏≰1200100∽⫏≰1101001)⪡⫏≰1112002≝⊿⫏≰2110020)+(⫏≰1222222⫗⊷⫓⫏≰10001200≬⇓(↪⫪⫘⫏≰2000102))⨐⩸⫘(⫏≰2021010⩹⫏≰102010112)⇷(↥⫏≰12210122)","cot":[{"info":"⫏≰1112120⨂≜⫏≰10201100=NaN","layer":3},{"info":"⫏≰11121001∁=⫏≰11121001","layer":3},{"info":"NaN⪕⫏≰11121001=NaN","layer":2},{"info":"⫏≰1200100∽⫏≰1101001=⫏≰-110021012","layer":3},{"info":"⫏≰1112002≝⊿⫏≰2110020=⫏≰-21011021","layer":3},{"info":"⫏≰-110021012⪡⫏≰-21011021=⫏≰221212020","layer":2},{"info":"NaN⋣⋖⫏≰221212020=NaN","layer":1},{"info":"⫏≰1222222⫗⊷⫓⫏≰10001200=⫏≰-11222","layer":3},{"info":"↪⫪⫘⫏≰2000102=⫏≰202","layer":3},{"info":"⫏≰-11222≬⇓⫏≰202=⫏≰0","layer":2},{"info":"⫏≰2021010⩹⫏≰102010112=⫏≰102010110","layer":3},{"info":"↥⫏≰12210122=⫏≰1202","layer":3},{"info":"⫏≰102010110⇷⫏≰1202=⫏≰10111","layer":2},{"info":"⫏≰0⨐⩸⫘⫏≰10111=⫏≰-10121","layer":1},{"info":"NaN+⫏≰-10121=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"⨑⩽⪐($2648$⪢$4946$⪇≇⋚$2443$⫗⊷⫓$2905$)⨽∌(⊵⊁(⊁⨺$8966$))","expression":"⨑⩽⪐(⫏≰10122002⪢⫏≰20210012⪇≇⋚⫏≰10100111⫗⊷⫓⫏≰10222121)⨽∌(⊵⊁(⊁⨺⫏≰110022002))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2261532,"operation_count":7,"complexity_ratio":323076.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2648,"base":3},"right_expr":{"type":"numeric_atoms","value":4946,"base":3}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2443,"base":3},"right_expr":{"type":"numeric_atoms","value":2905,"base":3}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":8966,"base":3}}}}},"used_operators":["AF7qkfDlqP","9samAPKr6k","3sJ7IOPOlU","dWAJyo7jo9","zashukvMKz","AvED76WdY7","PxiHyQbrIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","k8jYdgA6NY","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫏≰1002020","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=2648","layer":4},{"info":"number node, value=4946","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=4946, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2443","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=2905, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"number node, value=8966","layer":4},{"info":"compute unary expreesion, input=8966, 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":3},{"info":"compute unary expreesion, input=160, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=1087","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1087, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":0}],"base":3,"result_base":3,"text":"⨑⩽⪐(⫏≰10122002⪢⫏≰20210012⪇≇⋚⫏≰10100111⫗⊷⫓⫏≰10222121)⨽∌(⊵⊁(⊁⨺⫏≰110022002))=⫏≰1002020","reverse_text":"⫏≰1002020=⨑⩽⪐(⫏≰10122002⪢⫏≰20210012⪇≇⋚⫏≰10100111⫗⊷⫓⫏≰10222121)⨽∌(⊵⊁(⊁⨺⫏≰110022002))","cot":[{"info":"⫏≰10122002⪢⫏≰20210012=NaN","layer":3},{"info":"⫏≰10100111⫗⊷⫓⫏≰10222121=⫏≰-11222","layer":3},{"info":"NaN⪇≇⋚⫏≰-11222=NaN","layer":2},{"info":"⊁⨺⫏≰110022002=⫏≰12221","layer":3},{"info":"⊵⊁⫏≰12221=⫏≰1111021","layer":2},{"info":"NaN⨽∌⫏≰1111021=⫏≰0","layer":1},{"info":"⨑⩽⪐⫏≰0=⫏≰1002020","layer":0}]}
{"id":994,"expression_no_base_symbol":"⨴⫝(($1162$⫒⫫$2387$)⨻⩈⩔(⇵⪽$7096$)↸(⪸(⊀$1195$)))","expression":"⨴⫝((⫏≰1121001⫒⫫⫏≰10021102)⨻⩈⩔(⇵⪽⫏≰100201211)↸(⪸(⊀⫏≰1122021)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":201,"operation_count":7,"complexity_ratio":28.714285714285715,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1162,"base":3},"right_expr":{"type":"numeric_atoms","value":2387,"base":3}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":7096,"base":3}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1195,"base":3}}}}},"used_operators":["SVb2v531z1","1eCjFl0mb9","nEsXyWgiOK","6Ko8hGgeMq","ZGCBLdVRRX","86A5ENbKR9","oPMjh9089D"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","U7g4x0WXJJ","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1162","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=2387, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=7096","layer":4},{"info":"compute unary expreesion, input=7096, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4518","layer":3},{"info":"compute unary expreesion, input=4518, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-76597","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-76597, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨴⫝((⫏≰1121001⫒⫫⫏≰10021102)⨻⩈⩔(⇵⪽⫏≰100201211)↸(⪸(⊀⫏≰1122021)))=NaN","reverse_text":"NaN=⨴⫝((⫏≰1121001⫒⫫⫏≰10021102)⨻⩈⩔(⇵⪽⫏≰100201211)↸(⪸(⊀⫏≰1122021)))","cot":[{"info":"⫏≰1121001⫒⫫⫏≰10021102=NaN","layer":3},{"info":"⇵⪽⫏≰100201211=NaN","layer":3},{"info":"NaN⨻⩈⩔NaN=NaN","layer":2},{"info":"⊀⫏≰1122021=⫏≰20012100","layer":3},{"info":"⪸⫏≰20012100=⫏≰-10220001221","layer":2},{"info":"NaN↸⫏≰-10220001221=NaN","layer":1},{"info":"⨴⫝NaN=NaN","layer":0}]}
{"id":995,"expression_no_base_symbol":"⨰⫟⨤(($6608$⨿$2996$⇍⊗$1521$⪔⊥$3318$)⨎⋸⪻)","expression":"⨰⫟⨤((⫏≰100001202⨿⫏≰11002222⇍⊗⫏≰2002100⪔⊥⫏≰11112220)⨎⋸⪻)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2288,"operation_count":5,"complexity_ratio":457.6,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":6608,"base":3},"right_expr":{"type":"numeric_atoms","value":2996,"base":3}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1521,"base":3},"right_expr":{"type":"numeric_atoms","value":3318,"base":3}}}}},"used_operators":["Tw270M8GLb","Dk5vyLCiGd","5uvYHDjeKN","abYXlopdE0","HJ9erzHUuu"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","IWmyXbctLI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":3,"flag":false},"cot_info":[{"info":"number node, value=6608","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=6608, right_input=2996, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1521","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=3318, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-751","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-751, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-172","layer":1},{"info":"compute unary expreesion, input=-172, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"⨰⫟⨤((⫏≰100001202⨿⫏≰11002222⇍⊗⫏≰2002100⪔⊥⫏≰11112220)⨎⋸⪻)=NaN","reverse_text":"NaN=⨰⫟⨤((⫏≰100001202⨿⫏≰11002222⇍⊗⫏≰2002100⪔⊥⫏≰11112220)⨎⋸⪻)","cot":[{"info":"⫏≰100001202⨿⫏≰11002222=⫏≰-102211","layer":3},{"info":"⫏≰2002100⪔⊥⫏≰11112220=⫏≰-1000211","layer":3},{"info":"⫏≰-102211⇍⊗⫏≰-1000211=⫏≰-100001","layer":2},{"info":"⫏≰-100001⨎⋸⪻=⫏≰-20101","layer":1},{"info":"⨰⫟⨤⫏≰-20101=NaN","layer":0}]}
{"id":996,"expression_no_base_symbol":"(↣≠⋷($3421$∠↢$6379$)↢(⨑⩽⪐$1307$))∛(((≘$2926$)⊓⋫)⊉≛↸(⊿$4394$)∺≝⩲($1067$↓$1057$))","expression":"(↣≠⋷(⫏≰11200201∠↢⫏≰22202021)↢(⨑⩽⪐⫏≰1210102))∛(((≘⫏≰11000101)⊓⋫)⊉≛↸(⊿⫏≰20000202)∺≝⩲(⫏≰1110112↓⫏≰1110011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15438,"operation_count":11,"complexity_ratio":1403.4545454545455,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3421,"base":3},"right_expr":{"type":"numeric_atoms","value":6379,"base":3}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1307,"base":3}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2926,"base":3}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4394,"base":3}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1067,"base":3},"right_expr":{"type":"numeric_atoms","value":1057,"base":3}}}}},"used_operators":["w2537kitQq","Asc51vEJeQ","WR6HLWljOP","KbjG8mgYpV","AF7qkfDlqP","DZ8iAZOCBD","IqGBaFP0uj","tcjXMdvYtA","KPf6cnQVty","DO4fhlbJSI","Af076pWI7l"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","XhwjNDsVaA","AHs5Up7iyr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⫏≰2111","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3421","layer":4},{"info":"number node, value=6379","layer":4},{"info":"compute binary expreesion, left_input=3421, right_input=6379, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-101908","layer":3},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1034","layer":3},{"info":"compute binary expreesion, left_input=-101908, right_input=-1034, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-205884","layer":2},{"info":"compute unary expreesion, input=-205884, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2926","layer":4},{"info":"compute unary expreesion, input=2926, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=6452614","layer":3},{"info":"compute unary expreesion, input=6452614, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-6452742","layer":2},{"info":"number node, value=4394","layer":4},{"info":"compute unary expreesion, input=4394, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-18314","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1057, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-18314, right_input=-134, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-6452742, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-160, 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":3,"result_base":3,"text":"(↣≠⋷(⫏≰11200201∠↢⫏≰22202021)↢(⨑⩽⪐⫏≰1210102))∛(((≘⫏≰11000101)⊓⋫)⊉≛↸(⊿⫏≰20000202)∺≝⩲(⫏≰1110112↓⫏≰1110011))=⫏≰2111","reverse_text":"⫏≰2111=(↣≠⋷(⫏≰11200201∠↢⫏≰22202021)↢(⨑⩽⪐⫏≰1210102))∛(((≘⫏≰11000101)⊓⋫)⊉≛↸(⊿⫏≰20000202)∺≝⩲(⫏≰1110112↓⫏≰1110011))","cot":[{"info":"⫏≰11200201∠↢⫏≰22202021=⫏≰-12011210101","layer":3},{"info":"⨑⩽⪐⫏≰1210102=⫏≰-1102022","layer":3},{"info":"⫏≰-12011210101↢⫏≰-1102022=⫏≰-101110102100","layer":2},{"info":"↣≠⋷⫏≰-101110102100=NaN","layer":1},{"info":"≘⫏≰11000101=⫏≰110010211022201","layer":3},{"info":"⫏≰110010211022201⊓⋫=⫏≰-110010211111110","layer":2},{"info":"⊿⫏≰20000202=⫏≰-221010022","layer":3},{"info":"⫏≰1110112↓⫏≰1110011=⫏≰-11222","layer":3},{"info":"⫏≰-221010022∺≝⩲⫏≰-11222=⫏≰12221","layer":2},{"info":"⫏≰-110010211111110⊉≛↸⫏≰12221=⫏≰-12221","layer":1},{"info":"NaN∛⫏≰-12221=⫏≰2111","layer":0}]}
{"id":997,"expression_no_base_symbol":"(($3093$⩷∴$1110$)⪥$2074$∋$1938$∇⊂⋱(($2998$⫸⇳$7540$)⪇≇⋚$1667$⨰$1524$))⫗⊷⫓(($3939$≀⫉$4636$⋅⇍$3320$⩚⊴⇥$1461$)⋣⋖(($2032$⋥≓≎$1441$)⫲⨊))","expression":"((⫏≰11020120⩷∴⫏≰1112010)⪥⫏≰2211211∋⫏≰2122210∇⊂⋱((⫏≰11010001⫸⇳⫏≰101100021)⪇≇⋚⫏≰2021202⨰⫏≰2002110))⫗⊷⫓((⫏≰12101220≀⫉⫏≰20100201⋅⇍⫏≰11112222⩚⊴⇥⫏≰2000010)⋣⋖((⫏≰2210021⋥≓≎⫏≰1222101)⫲⨊))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2639016,"operation_count":14,"complexity_ratio":188501.14285714287,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3093,"base":3},"right_expr":{"type":"numeric_atoms","value":1110,"base":3}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2074,"base":3},"right_expr":{"type":"numeric_atoms","value":1938,"base":3}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2998,"base":3},"right_expr":{"type":"numeric_atoms","value":7540,"base":3}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1667,"base":3},"right_expr":{"type":"numeric_atoms","value":1524,"base":3}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3939,"base":3},"right_expr":{"type":"numeric_atoms","value":4636,"base":3}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3320,"base":3},"right_expr":{"type":"numeric_atoms","value":1461,"base":3}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2032,"base":3},"right_expr":{"type":"numeric_atoms","value":1441,"base":3}}}}},"used_operators":["zashukvMKz","nhYeJWJD5X","QbnwKVWMIQ","9FxExcQeMw","ukq6epAj5P","3sJ7IOPOlU","gx7XJ7hdpj","eewbuw0ToL","J0M6qkBnIM","AdZkA7nFnk","oZj3VtZNQx","NTOWxs364D","CArV6hThFE","Qy55tPpLXF"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫏≰-11222","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3093","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=1110, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3934","layer":3},{"info":"number node, value=2074","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=1938, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4069712","layer":3},{"info":"compute binary expreesion, left_input=3934, right_input=4069712, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=20388","layer":2},{"info":"number node, value=2998","layer":4},{"info":"number node, value=7540","layer":4},{"info":"compute binary expreesion, left_input=2998, right_input=7540, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1667","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=1524, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=153","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=153, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=20388, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=40230","layer":1},{"info":"number node, value=3939","layer":4},{"info":"number node, value=4636","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=4636, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=3320","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=3320, right_input=1461, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4902","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-4902, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-3395","layer":2},{"info":"number node, value=2032","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=1441, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=883","layer":3},{"info":"compute unary expreesion, input=883, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=5198","layer":2},{"info":"compute binary expreesion, left_input=-3395, right_input=5198, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-3395","layer":1},{"info":"compute binary expreesion, left_input=40230, right_input=-3395, 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":3,"result_base":3,"text":"((⫏≰11020120⩷∴⫏≰1112010)⪥⫏≰2211211∋⫏≰2122210∇⊂⋱((⫏≰11010001⫸⇳⫏≰101100021)⪇≇⋚⫏≰2021202⨰⫏≰2002110))⫗⊷⫓((⫏≰12101220≀⫉⫏≰20100201⋅⇍⫏≰11112222⩚⊴⇥⫏≰2000010)⋣⋖((⫏≰2210021⋥≓≎⫏≰1222101)⫲⨊))=⫏≰-11222","reverse_text":"⫏≰-11222=((⫏≰11020120⩷∴⫏≰1112010)⪥⫏≰2211211∋⫏≰2122210∇⊂⋱((⫏≰11010001⫸⇳⫏≰101100021)⪇≇⋚⫏≰2021202⨰⫏≰2002110))⫗⊷⫓((⫏≰12101220≀⫉⫏≰20100201⋅⇍⫏≰11112222⩚⊴⇥⫏≰2000010)⋣⋖((⫏≰2210021⋥≓≎⫏≰1222101)⫲⨊))","cot":[{"info":"⫏≰11020120⩷∴⫏≰1112010=⫏≰12101201","layer":3},{"info":"⫏≰2211211∋⫏≰2122210=⫏≰21122202121002","layer":3},{"info":"⫏≰12101201⪥⫏≰21122202121002=⫏≰1000222010","layer":2},{"info":"⫏≰11010001⫸⇳⫏≰101100021=⫏≰0","layer":3},{"info":"⫏≰2021202⨰⫏≰2002110=⫏≰12200","layer":3},{"info":"⫏≰0⪇≇⋚⫏≰12200=⫏≰0","layer":2},{"info":"⫏≰1000222010∇⊂⋱⫏≰0=⫏≰2001012000","layer":1},{"info":"⫏≰12101220≀⫉⫏≰20100201=⫏≰10212112","layer":3},{"info":"⫏≰11112222⩚⊴⇥⫏≰2000010=⫏≰-20201120","layer":3},{"info":"⫏≰10212112⋅⇍⫏≰-20201120=⫏≰-11122202","layer":2},{"info":"⫏≰2210021⋥≓≎⫏≰1222101=⫏≰1012201","layer":3},{"info":"⫏≰1012201⫲⨊=⫏≰21010112","layer":2},{"info":"⫏≰-11122202⋣⋖⫏≰21010112=⫏≰-11122202","layer":1},{"info":"⫏≰2001012000⫗⊷⫓⫏≰-11122202=⫏≰-11222","layer":0}]}
{"id":998,"expression_no_base_symbol":"(($1598$⊉↱≁$4912$∷)⫍⨯↯)⫉⨲⊜((($1924$⊠≄⫣)⋓$4639$↼⊘⨖$1161$)⩍⋽⫝̸($2924$↸$1563$≋⫹))","expression":"((⫏≰2012012⊉↱≁⫏≰20201221∷)⫍⨯↯)⫉⨲⊜(((⫏≰2122021⊠≄⫣)⋓⫏≰20100211↼⊘⨖⫏≰1121000)⩍⋽⫝̸(⫏≰11000022↸⫏≰2010220≋⫹))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1668,"operation_count":10,"complexity_ratio":166.8,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1598,"base":3},"right_expr":{"type":"numeric_atoms","value":4912,"base":3}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1924,"base":3}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4639,"base":3},"right_expr":{"type":"numeric_atoms","value":1161,"base":3}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2924,"base":3},"right_expr":{"type":"numeric_atoms","value":1563,"base":3}}}}},"used_operators":["WhqkvtTD3t","ZcwmYACASQ","nFAOW8KTqp","w2P8NbNXyL","BiWNJpBvwn","T2fj7uvVaJ","DIvbN7qnHd","bPywburJMS","N41Kp7NANJ","1eCjFl0mb9"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Ph9nP6C5qx","xUOZtlo3hN","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⫏≰0","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1598","layer":4},{"info":"number node, value=4912","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=4912, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-14606","layer":3},{"info":"compute unary expreesion, input=-14606, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-43818","layer":2},{"info":"compute unary expreesion, input=-43818, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":1},{"info":"number node, value=1924","layer":4},{"info":"compute unary expreesion, input=1924, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4639","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=4639, right_input=1161, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2100","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2100, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2924","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=1563, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2924","layer":3},{"info":"compute unary expreesion, input=2924, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5848","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5848, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=5375","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=5375, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":3,"result_base":3,"text":"((⫏≰2012012⊉↱≁⫏≰20201221∷)⫍⨯↯)⫉⨲⊜(((⫏≰2122021⊠≄⫣)⋓⫏≰20100211↼⊘⨖⫏≰1121000)⩍⋽⫝̸(⫏≰11000022↸⫏≰2010220≋⫹))=⫏≰0","reverse_text":"⫏≰0=((⫏≰2012012⊉↱≁⫏≰20201221∷)⫍⨯↯)⫉⨲⊜(((⫏≰2122021⊠≄⫣)⋓⫏≰20100211↼⊘⨖⫏≰1121000)⩍⋽⫝̸(⫏≰11000022↸⫏≰2010220≋⫹))","cot":[{"info":"⫏≰2012012⊉↱≁⫏≰20201221=⫏≰-202000222","layer":3},{"info":"⫏≰-202000222∷=⫏≰-2020002220","layer":2},{"info":"⫏≰-2020002220⫍⨯↯=⫏≰-11222","layer":1},{"info":"⫏≰2122021⊠≄⫣=⫏≰0","layer":3},{"info":"⫏≰20100211↼⊘⨖⫏≰1121000=⫏≰2212210","layer":3},{"info":"⫏≰0⋓⫏≰2212210=⫏≰0","layer":2},{"info":"⫏≰11000022↸⫏≰2010220=⫏≰11000022","layer":3},{"info":"⫏≰11000022≋⫹=⫏≰-22000121","layer":2},{"info":"⫏≰0⩍⋽⫝̸⫏≰-22000121=⫏≰21101002","layer":1},{"info":"⫏≰-11222⫉⨲⊜⫏≰21101002=⫏≰0","layer":0}]}
{"id":999,"expression_no_base_symbol":"(⊥(⇖⫷⫕$3555$)⊱⇼⊻($1939$+⪬∐$3742$))≴⪞⇿((≸≮$4474$⪎↠$1377$)∘(⨵($6341$⩨$4660$)))","expression":"(⊥(⇖⫷⫕⫏≰11212200)⊱⇼⊻(⫏≰2122211+⪬∐⫏≰12010121))≴⪞⇿((≸≮⫏≰20010201⪎↠⫏≰1220000)∘(⨵(⫏≰22200212⩨⫏≰20101121)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":919,"operation_count":10,"complexity_ratio":91.9,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3555,"base":3}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1939,"base":3},"right_expr":{"type":"numeric_atoms","value":3742,"base":3}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4474,"base":3},"right_expr":{"type":"numeric_atoms","value":1377,"base":3}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6341,"base":3},"right_expr":{"type":"numeric_atoms","value":4660,"base":3}}}}},"used_operators":["lvlrscuwVU","Q3PJZHRvZv","FyVja0WsTP","UHmRx3INFg","2GS7woTJqF","Z5m6OM72h2","AljMvE3RRm","3tVxb0NHM4","Tl3Y52tvF8","2DlMacCsIx"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","fu6greOZ01","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","g55IO6H4Gj","D4vGDi5EA2","eH2TOUuTDT","rysDP5nf3Z","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=3555","layer":4},{"info":"compute unary expreesion, input=3555, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1939","layer":4},{"info":"number node, value=3742","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=3742, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5817","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-5817, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=14090","layer":2},{"info":"compute unary expreesion, input=14090, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=4474","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=1377, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=378","layer":2},{"info":"number node, value=6341","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=6341, right_input=4660, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=2855","layer":2},{"info":"compute binary expreesion, left_input=378, right_input=2855, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=756","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=756, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":3,"result_base":3,"text":"(⊥(⇖⫷⫕⫏≰11212200)⊱⇼⊻(⫏≰2122211+⪬∐⫏≰12010121))≴⪞⇿((≸≮⫏≰20010201⪎↠⫏≰1220000)∘(⨵(⫏≰22200212⩨⫏≰20101121)))=NaN","reverse_text":"NaN=(⊥(⇖⫷⫕⫏≰11212200)⊱⇼⊻(⫏≰2122211+⪬∐⫏≰12010121))≴⪞⇿((≸≮⫏≰20010201⪎↠⫏≰1220000)∘(⨵(⫏≰22200212⩨⫏≰20101121)))","cot":[{"info":"⇖⫷⫕⫏≰11212200=⫏≰10212112","layer":3},{"info":"⫏≰2122211+⪬∐⫏≰12010121=⫏≰-21222110","layer":3},{"info":"⫏≰10212112⊱⇼⊻⫏≰-21222110=⫏≰201022212","layer":2},{"info":"⊥⫏≰201022212=NaN","layer":1},{"info":"⫏≰20010201⪎↠⫏≰1220000=⫏≰12221","layer":3},{"info":"≸≮⫏≰12221=⫏≰112000","layer":2},{"info":"⫏≰22200212⩨⫏≰20101121=⫏≰0","layer":3},{"info":"⨵⫏≰0=⫏≰10220202","layer":2},{"info":"⫏≰112000∘⫏≰10220202=⫏≰1001000","layer":1},{"info":"NaN≴⪞⇿⫏≰1001000=NaN","layer":0}]}
{"id":1000,"expression_no_base_symbol":"(⪸(⋠∜(≋$1398$)))⇴∐(⊈(($1133$⋷$2904$)⫚⫇))","expression":"(⪸(⋠∜(≋⫏≰1220210)))⇴∐(⊈((⫏≰1112222⋷⫏≰10222120)⫚⫇))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":85,"operation_count":7,"complexity_ratio":12.142857142857142,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1398,"base":3}}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1133,"base":3},"right_expr":{"type":"numeric_atoms","value":2904,"base":3}}}}},"used_operators":["HnzytWxmAO","86A5ENbKR9","ZJpFhNJr3x","61wBmkZwlr","RHru8klgy8","SdCjLnB6rR","23Mk6UjR3U"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","7j4O788W3g","12rbrZMWeM","xUOZtlo3hN","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd"],"result":"⫏≰-11022","longer_result_info":{"target_base":3,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1398","layer":3},{"info":"compute unary expreesion, input=1398, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7876","layer":2},{"info":"compute unary expreesion, input=7876, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-133683","layer":1},{"info":"number node, value=1133","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=2904, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4675","layer":3},{"info":"compute unary expreesion, input=4675, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=7882","layer":2},{"info":"compute unary expreesion, input=7882, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-8056","layer":1},{"info":"compute binary expreesion, left_input=-133683, right_input=-8056, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":0}],"base":3,"result_base":3,"text":"(⪸(⋠∜(≋⫏≰1220210)))⇴∐(⊈((⫏≰1112222⋷⫏≰10222120)⫚⫇))=⫏≰-11022","reverse_text":"⫏≰-11022=(⪸(⋠∜(≋⫏≰1220210)))⇴∐(⊈((⫏≰1112222⋷⫏≰10222120)⫚⫇))","cot":[{"info":"≋⫏≰1220210=⫏≰1220210","layer":3},{"info":"⋠∜⫏≰1220210=⫏≰101210201","layer":2},{"info":"⪸⫏≰101210201=⫏≰-20210101020","layer":1},{"info":"⫏≰1112222⋷⫏≰10222120=⫏≰20102011","layer":3},{"info":"⫏≰20102011⫚⫇=⫏≰101210221","layer":2},{"info":"⊈⫏≰101210221=⫏≰-102001101","layer":1},{"info":"⫏≰-20210101020⇴∐⫏≰-102001101=⫏≰-11022","layer":0}]}