01342_01432_02341_02431_03241_12340_12430_13240
Counting sequence:
1, 1, 2, 6, 24, 112, 564, 2965, 16044, 88703, 498749, 2842756, 16386500, 95356116, 559405287, 3304790824, 19643366036, 117388818793, 704878590519, 4250681515602, 25731957768193, 156313845050002, 952565277031197, 5821637757125393, 35673378945773593, 219129111377445752, 1349060583337775139, 8322737990972674426, 51444623492530191944, 318562794311454590675, 1975966020004128406293, 12275702579902796429128, 76375350393976928798353, 475840515760522938012265, 2968491046852193614393440, 18541462674360575702176677, 115946232260760212484294205, 725849466620868552447777012, 4548715399276515516131671744, 28533837145526693991001170217, 179159341320175910391824324294, 1125918138551736413183732162961, 7081803593376909585678907811932, 44579330954352561761003673608764, 280840596061842547857876847232187, 1770549290487983182378658747825850, 11170279609383336557087461638063518, 70520426559152946821449914521141771, 445500779232714907446166858033028937, 2816133178874104691901793228741927889, 17812230761614847002213571166596933172, 112728489769631006168401529360964357782, 713821707025309896354038489288307422736, 4522488499216146102464796017772050955144, 28667401103748798723121051696018888950527, 181808524328983057464354068148650729712949, 1153579670016497973216385021717202147495608, 7322866971360882422882158934454068069643989, 46505897882199714016611958463680419121033099, 295475683953169280012574036990999010079717795, 1878088675818901384154367693384368822506193386, 11942223356101026862613693311646723106279864685, 75966729600590576195918705060966745366928183320, 483420962726313781681194920914247340333924933408, 3077416283589822180790310710824869381982622248546, 19597509403176026910141681111907107548174285064980, 124843158143458005515742473969412042174021573853917, 795560870310193070885439396315040870311193703710272, 5071339101894937193275715709203043436793782580823361, 32337646345618328765665373315683172747019003183572779, 206265600038224864102166715836518857521155771088353453, 1316055270851556704983516059999570981037997267698846903, 8399372072465973556219986771171478700271590209822018747, 53621809190295790586434581654633245507768255500842339260, 342416576620125849310924043527870480549961408006324914511, 2187175476668310706545358432805369773075844541848421753387, 13974136480227652180011022846988962314525754283138757466588, 89305032671634921119080293143450709340789368364170491236997, 570865362764743697576368999330582823677896100868723705462183, 3650022737217279659564390669421408632704586770046909282726815, 23343123939044885166025308782423720137083003026462416612167229, 149321181765615401330827969237556969193961076206625845850908981, 955389568789791987934925245095447230513604954595896753663823906, 6114119050673328710466116985677615646187046745396065473276075499, 39136264620164052802325966345548689482020840314643848385147928325, 250561755712156601651258494492630317127739786469948732941689862537, 1604493809668628125205517554736809115906766050905046487216238429820, 10276545519995974817801910008727732612957760842033139081845855736138, 65832470980140839555663080807186369266005529473098886929635563442462, 421808365689638123026080027250659611275650190087548607009473183060898, 2703151797861513024183816697880126859927764947758397769196121105467598, 17326232587808658793873066592030237744554796962625244683241908997952108, 111074561836471158195392279613650326877345607726851438162423971470674505, 712197095779883379068905057691337382314518419136973868891010022143763124, 4567297687992570890388703292767197144761332547383843736883486039210283196, 29294792811323320026710360779841125245742859425452300005672068995456684911, 187928237866269700620769575169547435770620140673430187937064697912305459730, 1205765088547173830436579591099565292148622802205449689855328125930270993185, 7737506374499212301277534167294170542916147113352007520442660657348680560946, 49659875400801422000611716678483023800776160137258395525920509760411998975873, 318768356515087083008810279078989923518048470150559861236658917027293269102964
Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24159/
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[5,x]
F[4,x] = x
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[0,x]+F[7,x,k[0]]
F[7,x,k[0]] = F[55,x,k[0]]+F[8,x,k[0]]
F[8,x,k[0]] = F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]*F[16,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]+F[22,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[16,x,k[0]]
F[14,x,k[0]] = F[11,x,k[0]]+F[15,x,k[0]]
F[15,x,k[0]] = F[16,x,k[0]]+F[17,x,k[0]]
F[16,x,k[0]] = k[0]*x
F[17,x,k[0]] = F[18,x]+F[19,x,k[0]]+F[20,x,k[0]]
F[18,x] = 0
F[19,x,k[0]] = F[12,x,k[0]]*F[16,x,k[0]]
F[20,x,k[0]] = F[16,x,k[0]]*F[21,x,k[0]]
F[21,x,k[0]] = F[15,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]+F[30,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]
F[24,x,k[0]] = F[16,x,k[0]]*F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]+F[27,x,k[0]]
F[26,x,k[0]] = F[1,x]+F[16,x,k[0]]
F[27,x,k[0]] = F[23,x,k[0]]+F[28,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]
F[29,x,k[0]] = F[16,x,k[0]]*F[23,x,k[0]]
F[30,x,k[0]] = F[18,x]+F[31,x,k[0]]+F[40,x,k[0]]
F[31,x,k[0]] = F[16,x,k[0]]*F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]+F[34,x,k[0]]
F[33,x,k[0]] = F[12,x,k[0]]+F[17,x,k[0]]
F[34,x,k[0]] = F[30,x,k[0]]+F[35,x,k[0]]
F[35,x,k[0]] = 2*F[18,x]+F[36,x,k[0]]+F[37,x,k[0]]
F[36,x,k[0]] = F[16,x,k[0]]*F[30,x,k[0]]
F[37,x,k[0]] = F[16,x,k[0]]*F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]
F[39,x,k[0]] = F[28,x,k[0]]+F[35,x,k[0]]
F[40,x,k[0]] = F[16,x,k[0]]*F[41,x,k[0]]
F[41,x,k[0]] = F[22,x,k[0]]+F[42,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]+F[48,x,k[0]]
F[43,x,k[0]] = F[18,x]+F[29,x,k[0]]+F[44,x,k[0]]
F[44,x,k[0]] = F[16,x,k[0]]*F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[47,x,k[0]]
F[46,x,k[0]] = F[16,x,k[0]]
F[47,x,k[0]] = F[28,x,k[0]]
F[48,x,k[0]] = F[18,x]+F[36,x,k[0]]+F[49,x,k[0]]+F[53,x,k[0]]
F[49,x,k[0]] = F[16,x,k[0]]*F[50,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]+F[52,x,k[0]]
F[51,x,k[0]] = F[17,x,k[0]]
F[52,x,k[0]] = F[35,x,k[0]]
F[53,x,k[0]] = F[16,x,k[0]]*F[54,x,k[0]]
F[54,x,k[0]] = F[42,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]
F[56,x,k[0]] = F[4,x]*F[57,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]+F[59,x,k[0]]
F[58,x,k[0]] = -k[0]*(F[7,x,1]-F[7,x,k[0]])/(-1+k[0])
F[59,x,k[0]] = F[60,x,k[0]]
F[60,x,k[0]] = F[16,x,k[0]]*F[61,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0],1]
F[62,x,k[0],k[1]] = F[63,x,k[0],k[0]*k[1]]
F[64,x,k[0],k[1]] = F[4,x]*F[63,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[65,x,k[1],k[0]]
F[66,x,k[0],k[1]] = F[65,x,k[0],k[1]]+F[93,x,k[0],k[1]]
F[66,x,k[0],k[1]] = F[6,x,k[0]]+F[67,x,k[0],k[1]]
F[67,x,k[0],k[1]] = F[68,x,k[0],k[1]]
F[68,x,k[0],k[1]] = F[11,x,k[1]]*F[16,x,k[1]]*F[69,x,k[0]]*F[89,x,k[1]]
F[69,x,k[0]] = F[70,x,k[0]]+F[92,x,k[0]]
F[70,x,k[0]] = F[6,x,k[0]]+F[71,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]
F[72,x,k[0]] = F[4,x]*F[73,x,k[0]]
F[73,x,k[0]] = 1/(-1+k[0])*(F[74,x,k[0]]*k[0]-F[74,x,1])
F[74,x,k[0]] = F[70,x,k[0]]+F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[4,x]*F[77,x]*F[89,x,k[0]]
F[77,x] = 1/F[4,x]/F[86,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = -F[85,x]+F[80,x]
F[80,x] = 1/F[4,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[0,x]+F[83,x]
F[83,x] = 1/F[4,x]*F[84,x]
F[84,x] = F[2,x]
F[85,x] = F[70,x,1]
F[86,x] = F[1,x]+F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[4,x]*F[86,x]
F[89,x,k[0]] = F[1,x]+F[90,x,k[0]]
F[90,x,k[0]] = F[91,x,k[0]]
F[91,x,k[0]] = F[16,x,k[0]]*F[89,x,k[0]]
F[92,x,k[0]] = F[7,x,k[0]]*F[89,x,k[0]]
F[93,x,k[0],k[1]] = F[94,x,k[0]]+F[95,x,k[0],k[1]]
F[94,x,k[0]] = F[1,x]+F[8,x,k[0]]
F[95,x,k[0],k[1]] = F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = F[11,x,k[1]]*F[16,x,k[1]]*F[89,x,k[1]]*F[97,x,k[0]]
F[97,x,k[0]] = F[94,x,k[0]]+F[98,x,k[0]]
F[98,x,k[0]] = F[8,x,k[0]]*F[89,x,k[0]]
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_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{55}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{16}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{22}\! \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_{16}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{15}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = y x
F_{17}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{19}\! \left(x , y\right)+F_{20}\! \left(x , y\right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{16}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{21}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{15}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)+F_{30}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{27}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{16}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{23}\! \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_{16}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{31}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{34}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = 2 F_{18}\! \left(x \right)+F_{36}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{16}\! \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_{28}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{22}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{29}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{16}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{36}\! \left(x , y\right)+F_{49}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = -\frac{y \left(F_{7}\! \left(x , 1\right)-F_{7}\! \left(x , y\right)\right)}{-1+y}
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y , 1\right)
F_{62}\! \left(x , y , z\right) = F_{63}\! \left(x , y , y z \right)
F_{64}\! \left(x , y , z\right) = F_{4}\! \left(x \right) F_{63}\! \left(x , y , z\right)
F_{64}\! \left(x , y , z\right) = F_{65}\! \left(x , z , y\right)
F_{66}\! \left(x , y , z\right) = F_{65}\! \left(x , y , z\right)+F_{93}\! \left(x , y , z\right)
F_{66}\! \left(x , y , z\right) = F_{6}\! \left(x , y\right)+F_{67}\! \left(x , y , z\right)
F_{67}\! \left(x , y , z\right) = F_{68}\! \left(x , y , z\right)
F_{68}\! \left(x , y , z\right) = F_{11}\! \left(x , z\right) F_{16}\! \left(x , z\right) F_{69}\! \left(x , y\right) F_{89}\! \left(x , z\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{6}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = \frac{y F_{74}\! \left(x , y\right)-F_{74}\! \left(x , 1\right)}{-1+y}
F_{74}\! \left(x , y\right) = F_{70}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{4}\! \left(x \right) F_{86}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{2}\! \left(x \right)
F_{85}\! \left(x \right) = F_{70}\! \left(x , 1\right)
F_{86}\! \left(x \right) = F_{1}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{86}\! \left(x \right)
F_{89}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{7}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{93}\! \left(x , y , z\right) = F_{94}\! \left(x , y\right)+F_{95}\! \left(x , y , z\right)
F_{94}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{8}\! \left(x , y\right)
F_{95}\! \left(x , y , z\right) = F_{96}\! \left(x , y , z\right)
F_{96}\! \left(x , y , z\right) = F_{11}\! \left(x , z\right) F_{16}\! \left(x , z\right) F_{89}\! \left(x , z\right) F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{94}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{8}\! \left(x , y\right) F_{89}\! \left(x , y\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_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_0(x) + F_7(x, k_0))
Eq(F_7(x, k_0), F_55(x, k_0) + F_8(x, k_0))
Eq(F_8(x, k_0), F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0)*F_16(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0) + F_22(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_16(x, k_0))
Eq(F_14(x, k_0), F_11(x, k_0) + F_15(x, k_0))
Eq(F_15(x, k_0), F_16(x, k_0) + F_17(x, k_0))
Eq(F_16(x, k_0), k_0*x)
Eq(F_17(x, k_0), F_18(x) + F_19(x, k_0) + F_20(x, k_0))
Eq(F_18(x), 0)
Eq(F_19(x, k_0), F_12(x, k_0)*F_16(x, k_0))
Eq(F_20(x, k_0), F_16(x, k_0)*F_21(x, k_0))
Eq(F_21(x, k_0), F_15(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0) + F_30(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0))
Eq(F_24(x, k_0), F_16(x, k_0)*F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0) + F_27(x, k_0))
Eq(F_26(x, k_0), F_1(x) + F_16(x, k_0))
Eq(F_27(x, k_0), F_23(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_16(x, k_0)*F_23(x, k_0))
Eq(F_30(x, k_0), F_18(x) + F_31(x, k_0) + F_40(x, k_0))
Eq(F_31(x, k_0), F_16(x, k_0)*F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0) + F_34(x, k_0))
Eq(F_33(x, k_0), F_12(x, k_0) + F_17(x, k_0))
Eq(F_34(x, k_0), F_30(x, k_0) + F_35(x, k_0))
Eq(F_35(x, k_0), 2*F_18(x) + F_36(x, k_0) + F_37(x, k_0))
Eq(F_36(x, k_0), F_16(x, k_0)*F_30(x, k_0))
Eq(F_37(x, k_0), F_16(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_28(x, k_0) + F_35(x, k_0))
Eq(F_40(x, k_0), F_16(x, k_0)*F_41(x, k_0))
Eq(F_41(x, k_0), F_22(x, k_0) + F_42(x, k_0))
Eq(F_42(x, k_0), F_43(x, k_0) + F_48(x, k_0))
Eq(F_43(x, k_0), F_18(x) + F_29(x, k_0) + F_44(x, k_0))
Eq(F_44(x, k_0), F_16(x, k_0)*F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_47(x, k_0))
Eq(F_46(x, k_0), F_16(x, k_0))
Eq(F_47(x, k_0), F_28(x, k_0))
Eq(F_48(x, k_0), F_18(x) + F_36(x, k_0) + F_49(x, k_0) + F_53(x, k_0))
Eq(F_49(x, k_0), F_16(x, k_0)*F_50(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0) + F_52(x, k_0))
Eq(F_51(x, k_0), F_17(x, k_0))
Eq(F_52(x, k_0), F_35(x, k_0))
Eq(F_53(x, k_0), F_16(x, k_0)*F_54(x, k_0))
Eq(F_54(x, k_0), F_42(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0))
Eq(F_56(x, k_0), F_4(x)*F_57(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0) + F_59(x, k_0))
Eq(F_58(x, k_0), -F_7(x, 1) + (k_0*F_7(x, k_0) - F_7(x, 1))/(k_0 - 1))
Eq(F_59(x, k_0), F_60(x, k_0))
Eq(F_60(x, k_0), F_16(x, k_0)*F_61(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0, 1))
Eq(F_62(x, k_0, k_1), F_63(x, k_0, k_0*k_1))
Eq(F_64(x, k_0, k_1), F_4(x)*F_63(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_65(x, k_1, k_0))
Eq(F_66(x, k_0, k_1), F_65(x, k_0, k_1) + F_93(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), F_6(x, k_0) + F_67(x, k_0, k_1))
Eq(F_67(x, k_0, k_1), F_68(x, k_0, k_1))
Eq(F_68(x, k_0, k_1), F_11(x, k_1)*F_16(x, k_1)*F_69(x, k_0)*F_89(x, k_1))
Eq(F_69(x, k_0), F_70(x, k_0) + F_92(x, k_0))
Eq(F_70(x, k_0), F_6(x, k_0) + F_71(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0))
Eq(F_72(x, k_0), F_4(x)*F_73(x, k_0))
Eq(F_73(x, k_0), (k_0*F_74(x, k_0) - F_74(x, 1))/(k_0 - 1))
Eq(F_74(x, k_0), F_70(x, k_0) + F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_4(x)*F_77(x)*F_89(x, k_0))
Eq(F_77(x), F_78(x)/(F_4(x)*F_86(x)))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_80(x) - F_85(x))
Eq(F_80(x), F_81(x)/F_4(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), -F_0(x) + F_83(x))
Eq(F_83(x), F_84(x)/F_4(x))
Eq(F_84(x), F_2(x))
Eq(F_85(x), F_70(x, 1))
Eq(F_86(x), F_1(x) + F_87(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_4(x)*F_86(x))
Eq(F_89(x, k_0), F_1(x) + F_90(x, k_0))
Eq(F_90(x, k_0), F_91(x, k_0))
Eq(F_91(x, k_0), F_16(x, k_0)*F_89(x, k_0))
Eq(F_92(x, k_0), F_7(x, k_0)*F_89(x, k_0))
Eq(F_93(x, k_0, k_1), F_94(x, k_0) + F_95(x, k_0, k_1))
Eq(F_94(x, k_0), F_1(x) + F_8(x, k_0))
Eq(F_95(x, k_0, k_1), F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), F_11(x, k_1)*F_16(x, k_1)*F_89(x, k_1)*F_97(x, k_0))
Eq(F_97(x, k_0), F_94(x, k_0) + F_98(x, k_0))
Eq(F_98(x, k_0), F_8(x, k_0)*F_89(x, k_0))
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, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "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, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 4, 0], "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": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 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], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 2, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 4, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 2, 4, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": []}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 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], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], 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