02314_02341_02431_03124_03214_03241_20314_20341_20431_24031
Counting sequence:
1, 1, 2, 6, 24, 110, 532, 2628, 13095, 65472, 327685, 1640031, 8204321, 41015687, 204905583, 1022966024, 5103776969, 25448918117, 126829143673, 631778486685, 3145782969052, 15657803223539, 77909232134512, 387542101130587, 1927235281996638, 9581838056241721, 47629064316003661, 236708586899590495, 1176205460973742975, 5843688716372107095, 29029013955806778166, 144186530772258031895, 716093131934888129816, 3556078696162480935420, 17657710083787648843253, 87672268479075707280704, 435269500370118488527842, 2160853401343815636539904, 10726698741633216737867489, 53245504305604837788221590, 264288348831988259407671770, 1311756488479427998571245570, 6510439169122778910504477690, 32311027830528275938233353993, 160352634035285398784860158735, 795769958311378325479377216686, 3948992036725282751899920751129, 19596265097366675309598100698394, 97241050200902253490953642401510, 482520903497505214625657596687753, 2394272481609514762394701645270204, 11880170903284998374667868696531832, 58947329440737928925130160542841053, 292481576613625468675650117051218540, 1451197029219537582567584954581402311, 7200260928823479053375008069978736947, 35724366783080243879681654621447235527, 177245703851416277206408934602959528284, 879391282773626186090410236551303922717, 4362989946714285761456181394334470637741, 21646227208052965812620977197746648972138, 107393119612489110679866233264827407218278, 532803691884391913013192547927626884052425, 2643350598712692926715698876699915294877211, 13114125158420962097071223932459413996816921, 65061055769959878118776837042063973263809100, 322775316472920628825703737684810540219847835, 1601316341601014783173021757786477348397769959, 7944228671702036026829397547690120457095420865, 39411618987806336321805818427976870057622737419, 195521669823471075680061941718786359617759644676, 969982138134106334174836692298481123227172955105, 4812058716085246501935139486043979220186742929701, 23872425980059734134473578645507242043776247070261, 118429734604057072624769674037707755392213952791996, 587521303166258285685803657266388828728636145018462, 2914642103686249384189469976330489768447848496037630, 14459247385623529857836318885149206063640388453482172, 71730698362898962106308216587445524191674940122453279, 355847091137219252168247696119768386453667487329717441, 1765309420934388637177769786567860050774841758420900941, 8757444199501705464124557904745997170303627747590496094, 43444329430223440036161975798776413483694684580833988339, 215520234896449949774770049632595789163445640244041031167, 1069158984840100678022436523045796442388342120013731045200, 5303906507235121954676180944833235995637409570687135268430, 26311693770941255481217357971016870705515571003827253884507, 130527244049593068124501033355463619114638910928751699973669, 647519699507838810030943909502387193246753470107556629455941, 3212212683928374522372006321476120585558005305351879193532576, 15935112095311523013850224223326354648266080340833360158890408, 79050661215718236960951169705226750776946685797949031457132960, 392152938401902239324924813623216591414794671657228271737437708, 1945382700011044889402514166775003659880515719694275226804614893, 9650598763762295926818100930202413399822465748585903789679087161, 47874376114763619233547139486072742300835896019937299248629224468, 237493470837826607375860742590907081209024756506563294441435068605, 1178148192397338917043042755177922273518400095312295861520023368939, 5844507046851499753214405905390036442654152190240781497466697305955, 28993162407161208272525801852429491597365623486474636677478638933281, 143827867998109207065142232346854592065629452244267497954052525085207
Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://permpal.com/tree/24225/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[64,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[7,x,k[0]]
F[7,x,k[0]] = F[14,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[46,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[0,x]*F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]+F[31,x,k[0]]
F[11,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0]] = F[11,x,k[0]]+F[16,x,k[0]]
F[16,x,k[0]] = F[12,x,k[0]]+F[17,x,k[0]]
F[17,x,k[0]] = F[18,x]+F[19,x,k[0]]+F[26,x,k[0]]
F[18,x] = 0
F[19,x,k[0]] = F[14,x,k[0]]*F[20,x,k[0]]
F[20,x,k[0]] = F[21,x,k[0]]
F[21,x,k[0]] = F[12,x,k[0]]+F[22,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]
F[23,x,k[0]] = F[14,x,k[0]]*F[24,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[12,x,k[0]]
F[26,x,k[0]] = F[14,x,k[0]]*F[27,x,k[0]]
F[27,x,k[0]] = F[25,x,k[0]]+F[28,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]
F[29,x,k[0]] = F[14,x,k[0]]*F[30,x,k[0]]
F[30,x,k[0]] = F[12,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[14,x,k[0]]*F[33,x,k[0]]*F[40,x,k[0]]
F[33,x,k[0]] = F[1,x]+F[34,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = F[14,x,k[0]]*F[36,x,k[0]]
F[36,x,k[0]] = F[33,x,k[0]]+F[37,x,k[0]]
F[37,x,k[0]] = F[14,x,k[0]]+F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]
F[39,x,k[0]] = F[14,x,k[0]]*F[34,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]+F[43,x,k[0]]
F[41,x,k[0]] = F[11,x,k[0]]*F[42,x,k[0]]
F[42,x,k[0]] = F[1,x]+F[14,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]+F[45,x,k[0]]
F[44,x,k[0]] = F[12,x,k[0]]*F[42,x,k[0]]
F[45,x,k[0]] = F[12,x,k[0]]*F[14,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]*F[64,x]
F[48,x,k[0]] = F[49,x,k[0]]+F[53,x,k[0]]
F[49,x,k[0]] = F[33,x,k[0]]*F[50,x,k[0]]
F[51,x,k[0]] = F[14,x,k[0]]*F[50,x,k[0]]
F[51,x,k[0]] = F[52,x,k[0]]
F[52,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = F[55,x,1,k[0]]
F[55,x,k[0],k[1]] = F[56,x,k[0]*k[1],k[1]]
F[56,x,k[0],k[1]] = F[0,x]*F[57,x,k[0],k[1]]
F[57,x,k[0],k[1]] = F[58,x,k[0],k[1]]+F[71,x,k[0],k[1]]
F[58,x,k[0],k[1]] = F[59,x]*F[65,x,k[0],k[1]]
F[59,x] = F[60,x,1]
F[60,x,k[0]] = F[33,x,k[0]]+F[61,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]
F[62,x,k[0]] = F[33,x,k[0]]*F[63,x,k[0]]*F[64,x]
F[63,x,k[0]] = 1/(-1+k[0])*(F[60,x,k[0]]*k[0]-F[60,x,1])
F[64,x] = x
F[65,x,k[0],k[1]] = F[12,x,k[1]]+F[66,x,k[0],k[1]]
F[66,x,k[0],k[1]] = F[67,x,k[0],k[1]]
F[67,x,k[0],k[1]] = F[14,x,k[0]]*F[33,x,k[0]]*F[68,x,k[0],k[1]]
F[68,x,k[0],k[1]] = F[69,x,k[0],k[1]]+F[70,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[12,x,k[1]]*F[42,x,k[0]]
F[70,x,k[0],k[1]] = F[45,x,k[1]]+F[69,x,k[0],k[1]]
F[71,x,k[0],k[1]] = F[72,x,k[1]]*F[88,x,k[0],k[1]]
F[73,x,k[0]] = F[59,x]+F[72,x,k[0]]
F[73,x,k[0]] = F[74,x,1,k[0]]
F[75,x,k[0],k[1]] = F[74,x,k[0]*k[1],k[1]]
F[75,x,k[0],k[1]] = F[76,x,k[0],k[1]]+F[82,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[77,x,k[0]*k[1],k[1]]
F[77,x,k[0],k[1]] = F[11,x,k[1]]+F[78,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[79,x,k[0],k[1]]
F[79,x,k[0],k[1]] = F[14,x,k[0]]*F[33,x,k[0]]*F[80,x,k[0],k[1]]
F[80,x,k[0],k[1]] = F[70,x,k[0],k[1]]+F[81,x,k[0],k[1]]
F[81,x,k[0],k[1]] = F[11,x,k[1]]*F[42,x,k[0]]
F[82,x,k[0],k[1]] = F[83,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[64,x]*F[84,x,k[0],k[1]]
F[84,x,k[0],k[1]] = F[85,x,k[0],k[1]]+F[87,x,k[0],k[1]]
F[85,x,k[0],k[1]] = F[33,x,k[1]]*F[86,x,k[0],k[1]]
F[86,x,k[0],k[1]] = 1/(k[0]*k[1]-1)*(F[75,x,k[0],k[1]]*k[0]*k[1]-F[75,x,1/k[1],k[1]])
F[87,x,k[0],k[1]] = F[57,x,k[0]*k[1],k[1]]
F[88,x,k[0],k[1]] = F[34,x,k[1]]+F[89,x,k[0],k[1]]
F[89,x,k[0],k[1]] = F[18,x]+F[90,x,k[0],k[1]]+F[97,x,k[0],k[1]]
F[90,x,k[0],k[1]] = F[14,x,k[0]]*F[91,x,k[0],k[1]]
F[91,x,k[0],k[1]] = F[88,x,k[0],k[1]]+F[92,x,k[0],k[1]]
F[92,x,k[0],k[1]] = F[93,x,k[0],k[1]]+F[95,x,k[0],k[1]]
F[93,x,k[0],k[1]] = F[94,x,k[0],k[1]]
F[94,x,k[0],k[1]] = F[14,x,k[0]]*F[34,x,k[1]]
F[95,x,k[0],k[1]] = F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = F[14,x,k[0]]*F[89,x,k[0],k[1]]
F[97,x,k[0],k[1]] = F[14,x,k[1]]*F[98,x,k[0],k[1]]
F[98,x,k[0],k[1]] = F[99,x,k[0],k[1]]
F[99,x,k[0],k[1]] = F[14,x,k[0]]+F[93,x,k[0],k[1]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{10}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = y x
F_{15}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{19}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{25}\! \left(x , y\right)+F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{33}\! \left(x , y\right) F_{40}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right) F_{64}\! \left(x \right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{33}\! \left(x , y\right) F_{50}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{50}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , 1, y\right)
F_{55}\! \left(x , y , z\right) = F_{56}\! \left(x , y z , z\right)
F_{56}\! \left(x , y , z\right) = F_{0}\! \left(x \right) F_{57}\! \left(x , y , z\right)
F_{57}\! \left(x , y , z\right) = F_{58}\! \left(x , y , z\right)+F_{71}\! \left(x , y , z\right)
F_{58}\! \left(x , y , z\right) = F_{59}\! \left(x \right) F_{65}\! \left(x , y , z\right)
F_{59}\! \left(x \right) = F_{60}\! \left(x , 1\right)
F_{60}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{33}\! \left(x , y\right) F_{63}\! \left(x , y\right) F_{64}\! \left(x \right)
F_{63}\! \left(x , y\right) = \frac{y F_{60}\! \left(x , y\right)-F_{60}\! \left(x , 1\right)}{-1+y}
F_{64}\! \left(x \right) = x
F_{65}\! \left(x , y , z\right) = F_{12}\! \left(x , z\right)+F_{66}\! \left(x , y , z\right)
F_{66}\! \left(x , y , z\right) = F_{67}\! \left(x , y , z\right)
F_{67}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{33}\! \left(x , y\right) F_{68}\! \left(x , y , z\right)
F_{68}\! \left(x , y , z\right) = F_{69}\! \left(x , y , z\right)+F_{70}\! \left(x , y , z\right)
F_{69}\! \left(x , y , z\right) = F_{12}\! \left(x , z\right) F_{42}\! \left(x , y\right)
F_{70}\! \left(x , y , z\right) = F_{45}\! \left(x , z\right)+F_{69}\! \left(x , y , z\right)
F_{71}\! \left(x , y , z\right) = F_{72}\! \left(x , z\right) F_{88}\! \left(x , y , z\right)
F_{73}\! \left(x , y\right) = F_{59}\! \left(x \right)+F_{72}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , 1, y\right)
F_{75}\! \left(x , y , z\right) = F_{74}\! \left(x , y z , z\right)
F_{75}\! \left(x , y , z\right) = F_{76}\! \left(x , y , z\right)+F_{82}\! \left(x , y , z\right)
F_{76}\! \left(x , y , z\right) = F_{77}\! \left(x , y z , z\right)
F_{77}\! \left(x , y , z\right) = F_{11}\! \left(x , z\right)+F_{78}\! \left(x , y , z\right)
F_{78}\! \left(x , y , z\right) = F_{79}\! \left(x , y , z\right)
F_{79}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{33}\! \left(x , y\right) F_{80}\! \left(x , y , z\right)
F_{80}\! \left(x , y , z\right) = F_{70}\! \left(x , y , z\right)+F_{81}\! \left(x , y , z\right)
F_{81}\! \left(x , y , z\right) = F_{11}\! \left(x , z\right) F_{42}\! \left(x , y\right)
F_{82}\! \left(x , y , z\right) = F_{83}\! \left(x , y , z\right)
F_{83}\! \left(x , y , z\right) = F_{64}\! \left(x \right) F_{84}\! \left(x , y , z\right)
F_{84}\! \left(x , y , z\right) = F_{85}\! \left(x , y , z\right)+F_{87}\! \left(x , y , z\right)
F_{85}\! \left(x , y , z\right) = F_{33}\! \left(x , z\right) F_{86}\! \left(x , y , z\right)
F_{86}\! \left(x , y , z\right) = \frac{y z F_{75}\! \left(x , y , z\right)-F_{75}\! \left(x , \frac{1}{z}, z\right)}{y z -1}
F_{87}\! \left(x , y , z\right) = F_{57}\! \left(x , y z , z\right)
F_{88}\! \left(x , y , z\right) = F_{34}\! \left(x , z\right)+F_{89}\! \left(x , y , z\right)
F_{89}\! \left(x , y , z\right) = F_{18}\! \left(x \right)+F_{90}\! \left(x , y , z\right)+F_{97}\! \left(x , y , z\right)
F_{90}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{91}\! \left(x , y , z\right)
F_{91}\! \left(x , y , z\right) = F_{88}\! \left(x , y , z\right)+F_{92}\! \left(x , y , z\right)
F_{92}\! \left(x , y , z\right) = F_{93}\! \left(x , y , z\right)+F_{95}\! \left(x , y , z\right)
F_{93}\! \left(x , y , z\right) = F_{94}\! \left(x , y , z\right)
F_{94}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{34}\! \left(x , z\right)
F_{95}\! \left(x , y , z\right) = F_{96}\! \left(x , y , z\right)
F_{96}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{89}\! \left(x , y , z\right)
F_{97}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right) F_{98}\! \left(x , y , z\right)
F_{98}\! \left(x , y , z\right) = F_{99}\! \left(x , y , z\right)
F_{99}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right)+F_{93}\! \left(x , y , z\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_64(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_7(x, k_0))
Eq(F_7(x, k_0), F_14(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_46(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_0(x)*F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0) + F_31(x, k_0))
Eq(F_11(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0), F_11(x, k_0) + F_16(x, k_0))
Eq(F_16(x, k_0), F_12(x, k_0) + F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x) + F_19(x, k_0) + F_26(x, k_0))
Eq(F_18(x), 0)
Eq(F_19(x, k_0), F_14(x, k_0)*F_20(x, k_0))
Eq(F_20(x, k_0), F_21(x, k_0))
Eq(F_21(x, k_0), F_12(x, k_0) + F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0))
Eq(F_23(x, k_0), F_14(x, k_0)*F_24(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_12(x, k_0))
Eq(F_26(x, k_0), F_14(x, k_0)*F_27(x, k_0))
Eq(F_27(x, k_0), F_25(x, k_0) + F_28(x, k_0))
Eq(F_28(x, k_0), F_29(x, k_0))
Eq(F_29(x, k_0), F_14(x, k_0)*F_30(x, k_0))
Eq(F_30(x, k_0), F_12(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_14(x, k_0)*F_33(x, k_0)*F_40(x, k_0))
Eq(F_33(x, k_0), F_1(x) + F_34(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), F_14(x, k_0)*F_36(x, k_0))
Eq(F_36(x, k_0), F_33(x, k_0) + F_37(x, k_0))
Eq(F_37(x, k_0), F_14(x, k_0) + F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0))
Eq(F_39(x, k_0), F_14(x, k_0)*F_34(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0) + F_43(x, k_0))
Eq(F_41(x, k_0), F_11(x, k_0)*F_42(x, k_0))
Eq(F_42(x, k_0), F_1(x) + F_14(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0) + F_45(x, k_0))
Eq(F_44(x, k_0), F_12(x, k_0)*F_42(x, k_0))
Eq(F_45(x, k_0), F_12(x, k_0)*F_14(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0)*F_64(x))
Eq(F_48(x, k_0), F_49(x, k_0) + F_53(x, k_0))
Eq(F_49(x, k_0), F_33(x, k_0)*F_50(x, k_0))
Eq(F_51(x, k_0), F_14(x, k_0)*F_50(x, k_0))
Eq(F_51(x, k_0), F_52(x, k_0))
Eq(F_52(x, k_0), -F_6(x, 1) + (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), F_55(x, 1, k_0))
Eq(F_55(x, k_0, k_1), F_56(x, k_0*k_1, k_1))
Eq(F_56(x, k_0, k_1), F_0(x)*F_57(x, k_0, k_1))
Eq(F_57(x, k_0, k_1), F_58(x, k_0, k_1) + F_71(x, k_0, k_1))
Eq(F_58(x, k_0, k_1), F_59(x)*F_65(x, k_0, k_1))
Eq(F_59(x), F_60(x, 1))
Eq(F_60(x, k_0), F_33(x, k_0) + F_61(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0))
Eq(F_62(x, k_0), F_33(x, k_0)*F_63(x, k_0)*F_64(x))
Eq(F_63(x, k_0), (k_0*F_60(x, k_0) - F_60(x, 1))/(k_0 - 1))
Eq(F_64(x), x)
Eq(F_65(x, k_0, k_1), F_12(x, k_1) + F_66(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), F_67(x, k_0, k_1))
Eq(F_67(x, k_0, k_1), F_14(x, k_0)*F_33(x, k_0)*F_68(x, k_0, k_1))
Eq(F_68(x, k_0, k_1), F_69(x, k_0, k_1) + F_70(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_12(x, k_1)*F_42(x, k_0))
Eq(F_70(x, k_0, k_1), F_45(x, k_1) + F_69(x, k_0, k_1))
Eq(F_71(x, k_0, k_1), F_72(x, k_1)*F_88(x, k_0, k_1))
Eq(F_73(x, k_0), F_59(x) + F_72(x, k_0))
Eq(F_73(x, k_0), F_74(x, 1, k_0))
Eq(F_75(x, k_0, k_1), F_74(x, k_0*k_1, k_1))
Eq(F_75(x, k_0, k_1), F_76(x, k_0, k_1) + F_82(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_77(x, k_0*k_1, k_1))
Eq(F_77(x, k_0, k_1), F_11(x, k_1) + F_78(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_79(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), F_14(x, k_0)*F_33(x, k_0)*F_80(x, k_0, k_1))
Eq(F_80(x, k_0, k_1), F_70(x, k_0, k_1) + F_81(x, k_0, k_1))
Eq(F_81(x, k_0, k_1), F_11(x, k_1)*F_42(x, k_0))
Eq(F_82(x, k_0, k_1), F_83(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_64(x)*F_84(x, k_0, k_1))
Eq(F_84(x, k_0, k_1), F_85(x, k_0, k_1) + F_87(x, k_0, k_1))
Eq(F_85(x, k_0, k_1), F_33(x, k_1)*F_86(x, k_0, k_1))
Eq(F_86(x, k_0, k_1), (k_0*k_1*F_75(x, k_0, k_1) - F_75(x, 1/k_1, k_1))/(k_0*k_1 - 1))
Eq(F_87(x, k_0, k_1), F_57(x, k_0*k_1, k_1))
Eq(F_88(x, k_0, k_1), F_34(x, k_1) + F_89(x, k_0, k_1))
Eq(F_89(x, k_0, k_1), F_18(x) + F_90(x, k_0, k_1) + F_97(x, k_0, k_1))
Eq(F_90(x, k_0, k_1), F_14(x, k_0)*F_91(x, k_0, k_1))
Eq(F_91(x, k_0, k_1), F_88(x, k_0, k_1) + F_92(x, k_0, k_1))
Eq(F_92(x, k_0, k_1), F_93(x, k_0, k_1) + F_95(x, k_0, k_1))
Eq(F_93(x, k_0, k_1), F_94(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), F_14(x, k_0)*F_34(x, k_1))
Eq(F_95(x, k_0, k_1), F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), F_14(x, k_0)*F_89(x, k_0, k_1))
Eq(F_97(x, k_0, k_1), F_14(x, k_1)*F_98(x, k_0, k_1))
Eq(F_98(x, k_0, k_1), F_99(x, k_0, k_1))
Eq(F_99(x, k_0, k_1), F_14(x, k_0) + F_93(x, k_0, k_1))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": false, "maxreqlen": 1, "one_cell_only": false, "strategy_class": "CellInsertionFactory"}, {"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "point_only": false, "strategy_class": "PatternPlacementFactory"}]], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "strategy_class": "RowColumnSeparationStrategy", "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}], "iterative": false, "name": "point_placements_tracked_fusion", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
{"root": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 0, "original_rule": {"children": [{"assumptions": [{"assumption": "TrackingAssumption", "class_module": "tilings.assumptions", "gps": [{"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}]}], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 1], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 1], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [2, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 1], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [2, 0, 1], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [2, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 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