01324_01342_01432_10324_10342_10432_14032
Counting sequence:
1, 1, 2, 6, 24, 113, 580, 3121, 17269, 97272, 554666, 3191159, 18484619, 107643393, 629548399, 3694888993, 21749422816, 128341321953, 758920183016, 4495779860396, 26673810571905, 158469684576363, 942568729574113, 5612055387907653, 33444057523699899, 199461000115469000, 1190418126465829295, 7109016888329027169, 42477465604866784963, 253934153440563469468, 1518709867416957817732, 9086574501992101763640, 54385124710413352819837, 325611360580027484699780, 1950047246011273239020634, 11681673990533978256190515, 69995304784922730552579712, 419495469077070976867199542, 2514616936287009242053164273, 15076312333369337454587545335, 90404581948756305452722246567, 542190317977062898772100681855, 3252173016400337521662526093949, 19509726903542675732825324573662, 117052303653598761127019648747701, 702353815099399280873350193215141, 4214785530898499040956555961892091, 25295032899617452129801053081322976, 151821132025724126904075850040951946, 911304785982297906536581433192855100, 5470499776795954797821831633744891009, 32841272715170273335239033409368477662, 197169829750098176048763288996990015543, 1183822289032476593120524270314601609204, 7108146204808997781830958452030844922279, 42682351917771591525667847593271214088381, 256307299944296678511215680982942543243556, 1539192230696632096536762078979059679718909, 9243633566529128089749092944025969326721714, 55514875057617060295985251637144655215998294, 333420044357329035846958145006744106368969500, 2002574687625007978898160641115155837077549886, 12028167867954343514993291077463224170331070729, 72247547512013174972040468174935697626119146403, 433969093590625424200202828860794146422415672238, 2606788557016388923251927971646926321120964071466, 15658978466228939452155401757575859972695735631220, 94065640187973615117182260091667015558782460423169, 565077439084980865922287729936590024091217356837327, 3394639987787961089368654841931633298545638055487220, 20393311583035292943686393892509928613226704279769078, 122515087658501810121565310756518359395441247075274269, 736035442007184706558176128859647161639022472833427618, 4421959744381190399956303615314948584413200237166901676, 26566683908875755126730719506732542714663552082949725553, 159612186157515445059751549217713875792540605325757238579, 958960078920751888399441367034043100901318365230828173399, 5761565026103623630877311357739259070343448959095244860893, 34616691596609519224310140394589936098876184277604450652007, 207986676093904154993605370829861131446758683881140644408362, 1249654808986725356591736869579038737802223171831752144271315, 7508426909190452357682215200792666439025844708336426571363809, 45114064390741492072038161176535439798692608008400718460852545, 271068363985803801106488158731085661675699894787433270917043142, 1628731090475829301301428601566379451385759768958455502578773372, 9786410167922468308501985206778612199159367747935684335467292012, 58803168966463054028413347543885758859573399460712647134868550431, 353330529471680330305385719964430098161389629306200763202828503416, 2123071147827327660382386196120750164162059368162547715565623783391, 12757063846304027706702308559926453345370892388292774998574819436226, 76654836294872674823505545973193113266756382541861070317145253510435, 460607393843073938923977746990376750751558549048300099548672987745165, 2767735813355616388656844807504683523187540259938298164352934083531412, 16631086518538434134805717110810607803030746672842186842015824629923693, 99935262632392500442319394243014863683838288288260854256086370476608492, 600508183542285912403147583770040246085894993170211319380260068113321248, 3608452859671165303771812740890714477374615749279984722336645023664871048, 21683280028866693609049463886425091769589012391157121458055779726965200102, 130295874653472701514170750388100351040004986249429664078538549804930941341, 782957178459686680919132842685752354494147034558439526892187363005280274933, 4704862442549238037188043227397067550932769855645646121288075563348531015688
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24699/
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[25,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 2+F[5,x]^2+(-2+x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[25,x]*F[9,x]
F[9,x] = F[10,x]+F[31,x]
F[10,x] = F[11,x]*F[2,x]
F[11,x] = F[12,x]+F[5,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[25,x]
F[14,x] = 1/F[25,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[11,x]*F[18,x]*F[25,x]
F[18,x] = F[19,x]+F[26,x]
F[19,x] = F[1,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[25,x]
F[22,x] = F[19,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[19,x]*F[22,x]*F[25,x]
F[25,x] = x
F[26,x] = F[27,x]
F[27,x] = F[25,x]*F[28,x]
F[28,x] = 1/F[25,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[19,x]+F[11,x]
F[31,x] = F[182,x]+F[32,x]
F[32,x] = F[104,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[25,x]*F[35,x]
F[35,x] = F[36,x]+F[40,x]
F[36,x] = F[18,x]+F[37,x]
F[37,x] = -F[40,x]+F[38,x]
F[38,x] = 1/F[25,x]*F[39,x]
F[39,x] = F[7,x]
F[40,x] = F[41,x]+F[72,x]
F[41,x] = F[42,x]
F[42,x] = F[25,x]*F[35,x]*F[43,x]
F[43,x] = 1/F[25,x]/F[71,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[25,x]*F[47,x]
F[47,x] = 1/F[25,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[19,x]+F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = -2+x^2+8*x+F[51,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[51,x]
F[52,x] = F[53,x]
F[53,x] = F[25,x]*F[54,x]
F[54,x] = 1/F[25,x]*F[55,x]
F[55,x] = F[56,x]
F[56,x] = 1/F[25,x]*F[57,x]
F[57,x] = -F[69,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[25,x]*F[60,x]
F[60,x] = 1/F[25,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]+F[67,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = (x^2+4*x-1)*F[64,x]^2+(4*x^2-5*x+2)*F[64,x]+4*x^2-x
F[65,x] = F[25,x]*F[66,x]
F[66,x] = (1+F[66,x])*x+F[66,x]^2
F[67,x] = F[25,x]*F[68,x]
F[68,x] = F[17,x]
F[69,x] = F[66,x]+F[70,x]
F[70,x] = F[25,x]*F[64,x]
F[71,x] = F[19,x]+F[45,x]
F[72,x] = F[73,x]
F[73,x] = F[25,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[25,x]*F[36,x]*F[76,x]
F[76,x] = 1/F[25,x]*F[77,x]
F[77,x] = F[78,x]
F[78,x] = -F[47,x]+F[79,x]
F[79,x] = 1/F[25,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[45,x]+F[82,x]
F[82,x] = -F[26,x]+F[83,x]
F[83,x] = F[84,x]+F[86,x]
F[84,x] = F[66,x]*F[85,x]
F[85,x] = F[1,x]+F[25,x]
F[86,x] = F[87,x]
F[87,x] = F[25,x]*F[88,x]
F[88,x] = F[89,x]+F[97,x]
F[89,x] = F[90,x]*F[94,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[19,x]*F[66,x]
F[92,x] = F[93,x]
F[93,x] = F[18,x]*F[25,x]*F[28,x]
F[94,x] = F[19,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[25,x]*F[43,x]
F[97,x] = F[19,x]*F[98,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[66,x]*F[95,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[25,x]
F[102,x] = F[103,x]
F[103,x] = F[18,x]*F[25,x]*F[76,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[25,x]
F[106,x] = F[107,x]+F[108,x]
F[107,x] = F[35,x]*F[66,x]
F[108,x] = F[109,x]*F[36,x]
F[109,x] = F[110,x]
F[110,x] = -F[5,x]+F[111,x]
F[111,x] = -F[175,x]+F[112,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[5,x]^2
F[114,x] = F[115,x]
F[115,x] = 1/F[25,x]*F[116,x]
F[116,x] = F[117,x]
F[117,x] = F[118,x]*F[18,x]*F[25,x]
F[118,x] = 1/F[22,x]*F[119,x]
F[119,x] = -F[173,x]+F[120,x]
F[120,x] = 1/F[25,x]*F[121,x]
F[121,x] = F[122,x]
F[122,x] = -F[164,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[25,x]
F[125,x] = F[126,x]+F[156,x]
F[126,x] = F[127,x]+F[153,x]
F[127,x] = F[128,x]*F[5,x]
F[128,x] = F[129,x]+F[51,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[25,x]
F[131,x] = F[132,x]+F[149,x]
F[132,x] = -F[143,x]+F[133,x]
F[133,x] = 1/F[25,x]/F[43,x]*F[134,x]
F[134,x] = F[135,x]
F[135,x] = -F[138,x]+F[136,x]
F[136,x] = 1/F[25,x]*F[137,x]
F[137,x] = F[81,x]
F[138,x] = -F[141,x]+F[139,x]
F[139,x] = F[140,x]+F[78,x]
F[140,x] = F[43,x]*F[71,x]
F[141,x] = F[142,x]*F[43,x]
F[142,x] = -F[51,x]+F[71,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[25,x]*F[71,x]
F[145,x] = -F[148,x]+F[146,x]
F[146,x] = 1/F[25,x]*F[147,x]
F[147,x] = F[129,x]
F[148,x] = -F[22,x]+F[132,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[19,x]
F[151,x] = F[152,x]
F[152,x] = F[145,x]*F[25,x]
F[153,x] = F[154,x]*F[22,x]
F[154,x] = F[155,x]
F[155,x] = F[111,x]*F[25,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[25,x]
F[158,x] = F[159,x]+F[162,x]
F[159,x] = F[11,x]*F[160,x]
F[160,x] = 1/F[25,x]*F[161,x]
F[161,x] = F[123,x]
F[162,x] = F[163,x]
F[163,x] = F[118,x]*F[18,x]*F[22,x]
F[164,x] = F[165,x]*F[66,x]
F[165,x] = F[1,x]+F[166,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]*F[25,x]
F[168,x] = F[165,x]+F[169,x]
F[169,x] = F[170,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[25,x]
F[172,x] = F[1,x]+F[170,x]
F[173,x] = F[11,x]*F[174,x]
F[174,x] = -F[165,x]+F[128,x]
F[175,x] = F[176,x]+F[177,x]
F[176,x] = F[5,x]*F[66,x]
F[177,x] = F[178,x]
F[178,x] = F[179,x]*F[180,x]*F[25,x]
F[179,x] = F[20,x]+F[26,x]
F[180,x] = 1/F[25,x]*F[181,x]
F[181,x] = F[109,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[25,x]
F[184,x] = F[185,x]+F[198,x]
F[185,x] = F[186,x]+F[197,x]
F[186,x] = F[187,x]*F[36,x]
F[187,x] = F[188,x]
F[188,x] = F[189,x]*F[19,x]*F[25,x]
F[189,x] = 1/F[25,x]*F[190,x]
F[190,x] = F[191,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[154,x]*F[19,x]
F[193,x] = -F[196,x]+F[194,x]
F[194,x] = 1/F[25,x]*F[195,x]
F[195,x] = F[117,x]
F[196,x] = F[118,x]*F[19,x]
F[197,x] = F[20,x]*F[40,x]*F[5,x]
F[198,x] = F[199,x]
F[199,x] = F[19,x]*F[200,x]*F[25,x]
F[200,x] = 1/F[25,x]*F[201,x]
F[201,x] = F[202,x]
F[202,x] = -F[206,x]+F[203,x]
F[203,x] = 1/F[25,x]*F[204,x]
F[204,x] = F[205,x]
F[205,x] = F[11,x]*F[25,x]*F[38,x]
F[206,x] = F[16,x]*F[4,x]
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_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = F_{5}\! \left(x \right) x +F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+2
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{25}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{31}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{5}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{25}\! \left(x \right)
F_{14}\! \left(x \right) = \frac{F_{15}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{26}\! \left(x \right)
F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{22}\! \left(x \right) = F_{19}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{19}\! \left(x \right) F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = x
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{25}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{11}\! \left(x \right)
F_{31}\! \left(x \right) = F_{182}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{104}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{25}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{40}\! \left(x \right)
F_{36}\! \left(x \right) = F_{18}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{7}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{72}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{25}\! \left(x \right) F_{35}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{25}\! \left(x \right) F_{71}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{25}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}+2 x^{2} F_{51}\! \left(x \right)+4 x F_{51} \left(x \right)^{2}+x^{2}-13 x F_{51}\! \left(x \right)-F_{51} \left(x \right)^{2}+8 x +4 F_{51}\! \left(x \right)-2
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{25}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{57}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{25}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{67}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = x^{2} F_{64} \left(x \right)^{2}+4 x^{2} F_{64}\! \left(x \right)+4 x F_{64} \left(x \right)^{2}+4 x^{2}-5 x F_{64}\! \left(x \right)-F_{64} \left(x \right)^{2}-x +2 F_{64}\! \left(x \right)
F_{65}\! \left(x \right) = F_{25}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{66}\! \left(x \right) x +F_{66} \left(x \right)^{2}+x
F_{67}\! \left(x \right) = F_{25}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{17}\! \left(x \right)
F_{69}\! \left(x \right) = F_{66}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{25}\! \left(x \right) F_{64}\! \left(x \right)
F_{71}\! \left(x \right) = F_{19}\! \left(x \right)+F_{45}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{25}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{25}\! \left(x \right) F_{36}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{45}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{86}\! \left(x \right)
F_{84}\! \left(x \right) = F_{66}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{25}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{97}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right) F_{94}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{28}\! \left(x \right)
F_{94}\! \left(x \right) = F_{19}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{25}\! \left(x \right) F_{43}\! \left(x \right)
F_{97}\! \left(x \right) = F_{19}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{66}\! \left(x \right) F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{25}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{76}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{25}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{108}\! \left(x \right)
F_{107}\! \left(x \right) = F_{35}\! \left(x \right) F_{66}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{36}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{175}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{5} \left(x \right)^{2}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = \frac{F_{116}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{119}\! \left(x \right) = -F_{173}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{25}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{156}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{153}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{5}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{51}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{25}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{149}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{143}\! \left(x \right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{25}\! \left(x \right) F_{43}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{137}\! \left(x \right) = F_{81}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{141}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{78}\! \left(x \right)
F_{140}\! \left(x \right) = F_{43}\! \left(x \right) F_{71}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{43}\! \left(x \right)
F_{142}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{71}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{25}\! \left(x \right) F_{71}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{129}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{22}\! \left(x \right)+F_{132}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{19}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{145}\! \left(x \right) F_{25}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{22}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{111}\! \left(x \right) F_{25}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{25}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{162}\! \left(x \right)
F_{159}\! \left(x \right) = F_{11}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{123}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{118}\! \left(x \right) F_{18}\! \left(x \right) F_{22}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{66}\! \left(x \right)
F_{165}\! \left(x \right) = F_{1}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{25}\! \left(x \right)
F_{168}\! \left(x \right) = F_{165}\! \left(x \right)+F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{25}\! \left(x \right)
F_{172}\! \left(x \right) = F_{1}\! \left(x \right)+F_{170}\! \left(x \right)
F_{173}\! \left(x \right) = F_{11}\! \left(x \right) F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{128}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)
F_{176}\! \left(x \right) = F_{5}\! \left(x \right) F_{66}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{180}\! \left(x \right) F_{25}\! \left(x \right)
F_{179}\! \left(x \right) = F_{20}\! \left(x \right)+F_{26}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{109}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{25}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{198}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{197}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{36}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{19}\! \left(x \right) F_{25}\! \left(x \right)
F_{189}\! \left(x \right) = \frac{F_{190}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{154}\! \left(x \right) F_{19}\! \left(x \right)
F_{193}\! \left(x \right) = -F_{196}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = \frac{F_{195}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{195}\! \left(x \right) = F_{117}\! \left(x \right)
F_{196}\! \left(x \right) = F_{118}\! \left(x \right) F_{19}\! \left(x \right)
F_{197}\! \left(x \right) = F_{20}\! \left(x \right) F_{40}\! \left(x \right) F_{5}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{19}\! \left(x \right) F_{200}\! \left(x \right) F_{25}\! \left(x \right)
F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = -F_{206}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = \frac{F_{204}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right) F_{38}\! \left(x \right)
F_{206}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \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_25(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), (x - 2)*F_5(x) + F_5(x)**2 + 2)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_25(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_31(x))
Eq(F_10(x), F_11(x)*F_2(x))
Eq(F_11(x), F_12(x) + F_5(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_25(x))
Eq(F_14(x), F_15(x)/F_25(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_11(x)*F_18(x)*F_25(x))
Eq(F_18(x), F_19(x) + F_26(x))
Eq(F_19(x), F_1(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_25(x))
Eq(F_22(x), F_19(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_19(x)*F_22(x)*F_25(x))
Eq(F_25(x), x)
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_25(x)*F_28(x))
Eq(F_28(x), F_29(x)/F_25(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_11(x) - F_19(x))
Eq(F_31(x), F_182(x) + F_32(x))
Eq(F_32(x), F_104(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_25(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_40(x))
Eq(F_36(x), F_18(x) + F_37(x))
Eq(F_37(x), F_38(x) - F_40(x))
Eq(F_38(x), F_39(x)/F_25(x))
Eq(F_39(x), F_7(x))
Eq(F_40(x), F_41(x) + F_72(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_25(x)*F_35(x)*F_43(x))
Eq(F_43(x), F_44(x)/(F_25(x)*F_71(x)))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_25(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_25(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_19(x) + F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_51(x)**2 + (2*x**2 - 13*x + 4)*F_51(x) - 2)
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_25(x)*F_54(x))
Eq(F_54(x), F_55(x)/F_25(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_57(x)/F_25(x))
Eq(F_57(x), F_58(x) - F_69(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_25(x)*F_60(x))
Eq(F_60(x), F_61(x)/F_25(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) + F_67(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), x**2 + 8*x + (F_64(x) + 1)**2*(x**2 + 4*x - 1) + (F_64(x) + 1)*(2*x**2 - 13*x + 3) + F_64(x) - 2)
Eq(F_65(x), F_25(x)*F_66(x))
Eq(F_66(x), (x - 3)*(F_66(x) + 1) + (F_66(x) + 1)**2 + F_66(x) + 2)
Eq(F_67(x), F_25(x)*F_68(x))
Eq(F_68(x), F_17(x))
Eq(F_69(x), F_66(x) + F_70(x))
Eq(F_70(x), F_25(x)*F_64(x))
Eq(F_71(x), F_19(x) + F_45(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_25(x)*F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_25(x)*F_36(x)*F_76(x))
Eq(F_76(x), F_77(x)/F_25(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), -F_47(x) + F_79(x))
Eq(F_79(x), F_80(x)/F_25(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_45(x) + F_82(x))
Eq(F_82(x), -F_26(x) + F_83(x))
Eq(F_83(x), F_84(x) + F_86(x))
Eq(F_84(x), F_66(x)*F_85(x))
Eq(F_85(x), F_1(x) + F_25(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_25(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_97(x))
Eq(F_89(x), F_90(x)*F_94(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_19(x)*F_66(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_18(x)*F_25(x)*F_28(x))
Eq(F_94(x), F_19(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_25(x)*F_43(x))
Eq(F_97(x), F_19(x)*F_98(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_66(x)*F_95(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_25(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_18(x)*F_25(x)*F_76(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_25(x))
Eq(F_106(x), F_107(x) + F_108(x))
Eq(F_107(x), F_35(x)*F_66(x))
Eq(F_108(x), F_109(x)*F_36(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) - F_5(x))
Eq(F_111(x), F_112(x) - F_175(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_5(x)**2)
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)/F_25(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_118(x)*F_18(x)*F_25(x))
Eq(F_118(x), F_119(x)/F_22(x))
Eq(F_119(x), F_120(x) - F_173(x))
Eq(F_120(x), F_121(x)/F_25(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x) - F_164(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_25(x))
Eq(F_125(x), F_126(x) + F_156(x))
Eq(F_126(x), F_127(x) + F_153(x))
Eq(F_127(x), F_128(x)*F_5(x))
Eq(F_128(x), F_129(x) + F_51(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_25(x))
Eq(F_131(x), F_132(x) + F_149(x))
Eq(F_132(x), F_133(x) - F_143(x))
Eq(F_133(x), F_134(x)/(F_25(x)*F_43(x)))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x) - F_138(x))
Eq(F_136(x), F_137(x)/F_25(x))
Eq(F_137(x), F_81(x))
Eq(F_138(x), F_139(x) - F_141(x))
Eq(F_139(x), F_140(x) + F_78(x))
Eq(F_140(x), F_43(x)*F_71(x))
Eq(F_141(x), F_142(x)*F_43(x))
Eq(F_142(x), -F_51(x) + F_71(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_25(x)*F_71(x))
Eq(F_145(x), F_146(x) - F_148(x))
Eq(F_146(x), F_147(x)/F_25(x))
Eq(F_147(x), F_129(x))
Eq(F_148(x), F_132(x) - F_22(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_19(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_145(x)*F_25(x))
Eq(F_153(x), F_154(x)*F_22(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_111(x)*F_25(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_25(x))
Eq(F_158(x), F_159(x) + F_162(x))
Eq(F_159(x), F_11(x)*F_160(x))
Eq(F_160(x), F_161(x)/F_25(x))
Eq(F_161(x), F_123(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_118(x)*F_18(x)*F_22(x))
Eq(F_164(x), F_165(x)*F_66(x))
Eq(F_165(x), F_1(x) + F_166(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_25(x))
Eq(F_168(x), F_165(x) + F_169(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_25(x))
Eq(F_172(x), F_1(x) + F_170(x))
Eq(F_173(x), F_11(x)*F_174(x))
Eq(F_174(x), F_128(x) - F_165(x))
Eq(F_175(x), F_176(x) + F_177(x))
Eq(F_176(x), F_5(x)*F_66(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x)*F_180(x)*F_25(x))
Eq(F_179(x), F_20(x) + F_26(x))
Eq(F_180(x), F_181(x)/F_25(x))
Eq(F_181(x), F_109(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_25(x))
Eq(F_184(x), F_185(x) + F_198(x))
Eq(F_185(x), F_186(x) + F_197(x))
Eq(F_186(x), F_187(x)*F_36(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_189(x)*F_19(x)*F_25(x))
Eq(F_189(x), F_190(x)/F_25(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_154(x)*F_19(x))
Eq(F_193(x), F_194(x) - F_196(x))
Eq(F_194(x), F_195(x)/F_25(x))
Eq(F_195(x), F_117(x))
Eq(F_196(x), F_118(x)*F_19(x))
Eq(F_197(x), F_20(x)*F_40(x)*F_5(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_19(x)*F_200(x)*F_25(x))
Eq(F_200(x), F_201(x)/F_25(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x) - F_206(x))
Eq(F_203(x), F_204(x)/F_25(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_11(x)*F_25(x)*F_38(x))
Eq(F_206(x), F_16(x)*F_4(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"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": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [2, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 2], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[2, 2]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}]], "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]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", 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{"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], [0, 0]]}, {"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, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"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, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"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]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25156/
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[26,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = (1+F[6,x])*x+F[6,x]^2
F[7,x] = F[8,x]
F[8,x] = F[26,x]*F[9,x]
F[9,x] = F[10,x]+F[32,x]
F[10,x] = F[11,x]*F[2,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = 2+F[12,x]^2+(-2+x)*F[12,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[26,x]
F[15,x] = 1/F[26,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[11,x]*F[19,x]*F[26,x]
F[19,x] = F[20,x]+F[27,x]
F[20,x] = F[1,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[26,x]
F[23,x] = F[20,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[20,x]*F[23,x]*F[26,x]
F[26,x] = x
F[27,x] = F[28,x]
F[28,x] = F[26,x]*F[29,x]
F[29,x] = 1/F[26,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[20,x]+F[11,x]
F[32,x] = F[218,x]+F[33,x]
F[33,x] = F[108,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[26,x]*F[36,x]
F[36,x] = F[37,x]+F[41,x]
F[37,x] = F[19,x]+F[38,x]
F[38,x] = -F[41,x]+F[39,x]
F[39,x] = 1/F[26,x]*F[40,x]
F[40,x] = F[7,x]
F[41,x] = F[104,x]+F[42,x]
F[42,x] = F[34,x]+F[43,x]
F[43,x] = F[44,x]+F[70,x]
F[44,x] = -F[64,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[26,x]*F[47,x]
F[47,x] = 1/F[26,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[20,x]+F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = -2+x^2+8*x+F[51,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[51,x]
F[52,x] = F[53,x]
F[53,x] = F[26,x]*F[54,x]
F[54,x] = 1/F[26,x]*F[55,x]
F[55,x] = F[56,x]
F[56,x] = 1/F[26,x]*F[57,x]
F[57,x] = -F[68,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[26,x]*F[60,x]
F[60,x] = 1/F[26,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]+F[66,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = (x^2+4*x-1)*F[64,x]^2+(4*x^2-5*x+2)*F[64,x]+4*x^2-x
F[65,x] = F[26,x]*F[6,x]
F[66,x] = F[26,x]*F[67,x]
F[67,x] = F[18,x]
F[68,x] = F[6,x]+F[69,x]
F[69,x] = F[26,x]*F[64,x]
F[70,x] = F[71,x]
F[71,x] = F[26,x]*F[72,x]*F[88,x]
F[72,x] = F[102,x]+F[73,x]
F[73,x] = F[74,x]+F[76,x]
F[74,x] = F[6,x]*F[75,x]
F[75,x] = F[1,x]+F[26,x]
F[76,x] = F[77,x]
F[77,x] = F[26,x]*F[78,x]
F[78,x] = F[79,x]+F[90,x]
F[79,x] = F[80,x]*F[84,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[20,x]*F[6,x]
F[82,x] = F[83,x]
F[83,x] = F[19,x]*F[26,x]*F[29,x]
F[84,x] = F[20,x]+F[85,x]
F[85,x] = F[26,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[26,x]*F[88,x]
F[88,x] = 1/F[26,x]/F[36,x]*F[89,x]
F[89,x] = F[43,x]
F[90,x] = F[20,x]*F[91,x]
F[91,x] = F[92,x]+F[93,x]
F[92,x] = F[6,x]*F[85,x]
F[93,x] = F[94,x]
F[94,x] = F[26,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[19,x]*F[26,x]*F[97,x]
F[97,x] = 1/F[26,x]*F[98,x]
F[98,x] = F[99,x]
F[99,x] = 1/F[26,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = -F[27,x]+F[73,x]
F[102,x] = -F[103,x]+F[39,x]
F[103,x] = F[101,x]+F[45,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[26,x]
F[106,x] = F[107,x]
F[107,x] = F[26,x]*F[37,x]*F[97,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[26,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[36,x]*F[6,x]
F[112,x] = F[113,x]*F[37,x]
F[113,x] = -F[12,x]+F[114,x]
F[114,x] = -F[211,x]+F[115,x]
F[115,x] = F[116,x]+F[117,x]
F[116,x] = F[12,x]^2
F[117,x] = F[118,x]
F[118,x] = 1/F[26,x]*F[119,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[19,x]*F[26,x]
F[121,x] = 1/F[23,x]*F[122,x]
F[122,x] = -F[209,x]+F[123,x]
F[123,x] = 1/F[26,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = -F[203,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[26,x]
F[128,x] = F[129,x]+F[195,x]
F[129,x] = F[130,x]+F[192,x]
F[130,x] = F[12,x]*F[131,x]
F[131,x] = F[132,x]+F[51,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]*F[26,x]
F[134,x] = F[135,x]+F[188,x]
F[135,x] = F[136,x]+F[140,x]
F[136,x] = F[137,x]*F[51,x]
F[137,x] = F[1,x]+F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[137,x]*F[26,x]
F[140,x] = 1/F[26,x]*F[141,x]
F[141,x] = -F[187,x]+F[142,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[26,x]
F[144,x] = -F[180,x]+F[145,x]
F[145,x] = 1/F[26,x]*F[146,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]+F[179,x]
F[148,x] = -F[173,x]+F[149,x]
F[149,x] = -F[165,x]+F[150,x]
F[150,x] = F[151,x]+F[158,x]
F[151,x] = -F[155,x]+F[152,x]
F[152,x] = 1/F[26,x]*F[153,x]
F[153,x] = F[154,x]
F[154,x] = -F[63,x]+F[103,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = -F[21,x]+F[88,x]
F[157,x] = -F[27,x]+F[99,x]
F[158,x] = F[159,x]
F[159,x] = F[11,x]*F[160,x]*F[26,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[26,x]
F[162,x] = 1/F[26,x]*F[163,x]
F[163,x] = F[164,x]
F[164,x] = F[158,x]+F[67,x]
F[165,x] = -F[56,x]+F[166,x]
F[166,x] = -F[169,x]+F[167,x]
F[167,x] = 1/F[26,x]*F[168,x]
F[168,x] = F[103,x]
F[169,x] = F[170,x]+F[45,x]
F[170,x] = 1/F[26,x]*F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[101,x]+F[85,x]
F[173,x] = -F[177,x]+F[174,x]
F[174,x] = F[175,x]+F[27,x]
F[175,x] = -F[176,x]+F[164,x]
F[176,x] = F[137,x]*F[6,x]
F[177,x] = -F[12,x]+F[178,x]
F[178,x] = F[12,x]+F[67,x]
F[179,x] = F[138,x]*F[17,x]
F[180,x] = F[181,x]
F[181,x] = F[182,x]*F[183,x]*F[26,x]
F[182,x] = F[20,x]+F[45,x]
F[183,x] = -F[186,x]+F[184,x]
F[184,x] = 1/F[26,x]*F[185,x]
F[185,x] = F[132,x]
F[186,x] = -F[23,x]+F[135,x]
F[187,x] = F[137,x]*F[68,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]*F[20,x]
F[190,x] = F[191,x]
F[191,x] = F[183,x]*F[26,x]
F[192,x] = F[193,x]*F[23,x]
F[193,x] = F[194,x]
F[194,x] = F[114,x]*F[26,x]
F[195,x] = F[196,x]
F[196,x] = F[197,x]*F[26,x]
F[197,x] = F[198,x]+F[201,x]
F[198,x] = F[11,x]*F[199,x]
F[199,x] = 1/F[26,x]*F[200,x]
F[200,x] = F[126,x]
F[201,x] = F[202,x]
F[202,x] = F[121,x]*F[19,x]*F[23,x]
F[203,x] = F[204,x]*F[6,x]
F[204,x] = F[1,x]+F[205,x]
F[205,x] = F[206,x]
F[206,x] = F[207,x]*F[26,x]
F[207,x] = F[204,x]+F[208,x]
F[208,x] = F[138,x]
F[209,x] = F[11,x]*F[210,x]
F[210,x] = -F[204,x]+F[131,x]
F[211,x] = F[212,x]+F[213,x]
F[212,x] = F[12,x]*F[6,x]
F[213,x] = F[214,x]
F[214,x] = F[215,x]*F[216,x]*F[26,x]
F[215,x] = F[21,x]+F[27,x]
F[216,x] = 1/F[26,x]*F[217,x]
F[217,x] = F[113,x]
F[218,x] = F[219,x]
F[219,x] = F[220,x]*F[26,x]
F[220,x] = F[221,x]+F[234,x]
F[221,x] = F[222,x]+F[233,x]
F[222,x] = F[223,x]*F[37,x]
F[223,x] = F[224,x]
F[224,x] = F[20,x]*F[225,x]*F[26,x]
F[225,x] = 1/F[26,x]*F[226,x]
F[226,x] = F[227,x]
F[227,x] = F[228,x]+F[229,x]
F[228,x] = F[193,x]*F[20,x]
F[229,x] = -F[232,x]+F[230,x]
F[230,x] = 1/F[26,x]*F[231,x]
F[231,x] = F[120,x]
F[232,x] = F[121,x]*F[20,x]
F[233,x] = F[12,x]*F[21,x]*F[41,x]
F[234,x] = F[235,x]
F[235,x] = F[20,x]*F[236,x]*F[26,x]
F[236,x] = 1/F[26,x]*F[237,x]
F[237,x] = F[238,x]
F[238,x] = -F[242,x]+F[239,x]
F[239,x] = 1/F[26,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = F[11,x]*F[26,x]*F[39,x]
F[242,x] = F[17,x]*F[4,x]
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_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = F_{6}\! \left(x \right) x +F_{6} \left(x \right)^{2}+x
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{26}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{32}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = F_{12}\! \left(x \right) x +F_{12} \left(x \right)^{2}-2 F_{12}\! \left(x \right)+2
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{11}\! \left(x \right) F_{19}\! \left(x \right) F_{26}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{27}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{26}\! \left(x \right)
F_{23}\! \left(x \right) = F_{20}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{20}\! \left(x \right) F_{23}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = x
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{26}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{11}\! \left(x \right)
F_{32}\! \left(x \right) = F_{218}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{108}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{26}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)
F_{37}\! \left(x \right) = F_{19}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{41}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = \frac{F_{40}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{40}\! \left(x \right) = F_{7}\! \left(x \right)
F_{41}\! \left(x \right) = F_{104}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{34}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{70}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{26}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}+2 x^{2} F_{51}\! \left(x \right)+4 x F_{51} \left(x \right)^{2}+x^{2}-13 x F_{51}\! \left(x \right)-F_{51} \left(x \right)^{2}+8 x +4 F_{51}\! \left(x \right)-2
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{26}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{57}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{26}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{66}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = x^{2} F_{64} \left(x \right)^{2}+4 x^{2} F_{64}\! \left(x \right)+4 x F_{64} \left(x \right)^{2}+4 x^{2}-5 x F_{64}\! \left(x \right)-F_{64} \left(x \right)^{2}-x +2 F_{64}\! \left(x \right)
F_{65}\! \left(x \right) = F_{26}\! \left(x \right) F_{6}\! \left(x \right)
F_{66}\! \left(x \right) = F_{26}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{18}\! \left(x \right)
F_{68}\! \left(x \right) = F_{6}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{26}\! \left(x \right) F_{64}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{26}\! \left(x \right) F_{72}\! \left(x \right) F_{88}\! \left(x \right)
F_{72}\! \left(x \right) = F_{102}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)
F_{74}\! \left(x \right) = F_{6}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{26}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{90}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right) F_{84}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{19}\! \left(x \right) F_{26}\! \left(x \right) F_{29}\! \left(x \right)
F_{84}\! \left(x \right) = F_{20}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{26}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{26}\! \left(x \right) F_{36}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{43}\! \left(x \right)
F_{90}\! \left(x \right) = F_{20}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{93}\! \left(x \right)
F_{92}\! \left(x \right) = F_{6}\! \left(x \right) F_{85}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{26}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{19}\! \left(x \right) F_{26}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{73}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{39}\! \left(x \right)
F_{103}\! \left(x \right) = F_{101}\! \left(x \right)+F_{45}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{26}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{26}\! \left(x \right) F_{37}\! \left(x \right) F_{97}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{26}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{36}\! \left(x \right) F_{6}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{37}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{117}\! \left(x \right)
F_{116}\! \left(x \right) = F_{12} \left(x \right)^{2}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{19}\! \left(x \right) F_{26}\! \left(x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{122}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{26}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{195}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{192}\! \left(x \right)
F_{130}\! \left(x \right) = F_{12}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{51}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{26}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{188}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{140}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{51}\! \left(x \right)
F_{137}\! \left(x \right) = F_{1}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{137}\! \left(x \right) F_{26}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{141}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{26}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{179}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{173}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{158}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{155}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{103}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{88}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{99}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{11}\! \left(x \right) F_{160}\! \left(x \right) F_{26}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{26}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{158}\! \left(x \right)+F_{67}\! \left(x \right)
F_{165}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{169}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{103}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{45}\! \left(x \right)
F_{170}\! \left(x \right) = \frac{F_{171}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{101}\! \left(x \right)+F_{85}\! \left(x \right)
F_{173}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{27}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{164}\! \left(x \right)
F_{176}\! \left(x \right) = F_{137}\! \left(x \right) F_{6}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{12}\! \left(x \right)+F_{67}\! \left(x \right)
F_{179}\! \left(x \right) = F_{138}\! \left(x \right) F_{17}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{183}\! \left(x \right) F_{26}\! \left(x \right)
F_{182}\! \left(x \right) = F_{20}\! \left(x \right)+F_{45}\! \left(x \right)
F_{183}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{185}\! \left(x \right) = F_{132}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{135}\! \left(x \right)
F_{187}\! \left(x \right) = F_{137}\! \left(x \right) F_{68}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{20}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{183}\! \left(x \right) F_{26}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{23}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{114}\! \left(x \right) F_{26}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{26}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)+F_{201}\! \left(x \right)
F_{198}\! \left(x \right) = F_{11}\! \left(x \right) F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = \frac{F_{200}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{200}\! \left(x \right) = F_{126}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{121}\! \left(x \right) F_{19}\! \left(x \right) F_{23}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right) F_{6}\! \left(x \right)
F_{204}\! \left(x \right) = F_{1}\! \left(x \right)+F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{26}\! \left(x \right)
F_{207}\! \left(x \right) = F_{204}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{138}\! \left(x \right)
F_{209}\! \left(x \right) = F_{11}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = -F_{204}\! \left(x \right)+F_{131}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{213}\! \left(x \right)
F_{212}\! \left(x \right) = F_{12}\! \left(x \right) F_{6}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right) F_{216}\! \left(x \right) F_{26}\! \left(x \right)
F_{215}\! \left(x \right) = F_{21}\! \left(x \right)+F_{27}\! \left(x \right)
F_{216}\! \left(x \right) = \frac{F_{217}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{217}\! \left(x \right) = F_{113}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right) F_{26}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{234}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{233}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right) F_{37}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{20}\! \left(x \right) F_{225}\! \left(x \right) F_{26}\! \left(x \right)
F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{229}\! \left(x \right)
F_{228}\! \left(x \right) = F_{193}\! \left(x \right) F_{20}\! \left(x \right)
F_{229}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{231}\! \left(x \right) = F_{120}\! \left(x \right)
F_{232}\! \left(x \right) = F_{121}\! \left(x \right) F_{20}\! \left(x \right)
F_{233}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right) F_{41}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{20}\! \left(x \right) F_{236}\! \left(x \right) F_{26}\! \left(x \right)
F_{236}\! \left(x \right) = \frac{F_{237}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{242}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{11}\! \left(x \right) F_{26}\! \left(x \right) F_{39}\! \left(x \right)
F_{242}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \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_26(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), (x - 3)*(F_6(x) + 1) + (F_6(x) + 1)**2 + F_6(x) + 2)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_26(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_32(x))
Eq(F_10(x), F_11(x)*F_2(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), (x - 2)*F_12(x) + F_12(x)**2 + 2)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_26(x))
Eq(F_15(x), F_16(x)/F_26(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_11(x)*F_19(x)*F_26(x))
Eq(F_19(x), F_20(x) + F_27(x))
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_26(x))
Eq(F_23(x), F_20(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_20(x)*F_23(x)*F_26(x))
Eq(F_26(x), x)
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_26(x)*F_29(x))
Eq(F_29(x), F_30(x)/F_26(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_11(x) - F_20(x))
Eq(F_32(x), F_218(x) + F_33(x))
Eq(F_33(x), F_108(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_26(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_41(x))
Eq(F_37(x), F_19(x) + F_38(x))
Eq(F_38(x), F_39(x) - F_41(x))
Eq(F_39(x), F_40(x)/F_26(x))
Eq(F_40(x), F_7(x))
Eq(F_41(x), F_104(x) + F_42(x))
Eq(F_42(x), F_34(x) + F_43(x))
Eq(F_43(x), F_44(x) + F_70(x))
Eq(F_44(x), F_45(x) - F_64(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_26(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_26(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_20(x) + F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_51(x)**2 + (2*x**2 - 13*x + 4)*F_51(x) - 2)
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_26(x)*F_54(x))
Eq(F_54(x), F_55(x)/F_26(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_57(x)/F_26(x))
Eq(F_57(x), F_58(x) - F_68(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_26(x)*F_60(x))
Eq(F_60(x), F_61(x)/F_26(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) + F_66(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), x**2 + 8*x + (F_64(x) + 1)**2*(x**2 + 4*x - 1) + (F_64(x) + 1)*(2*x**2 - 13*x + 3) + F_64(x) - 2)
Eq(F_65(x), F_26(x)*F_6(x))
Eq(F_66(x), F_26(x)*F_67(x))
Eq(F_67(x), F_18(x))
Eq(F_68(x), F_6(x) + F_69(x))
Eq(F_69(x), F_26(x)*F_64(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_26(x)*F_72(x)*F_88(x))
Eq(F_72(x), F_102(x) + F_73(x))
Eq(F_73(x), F_74(x) + F_76(x))
Eq(F_74(x), F_6(x)*F_75(x))
Eq(F_75(x), F_1(x) + F_26(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_26(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_90(x))
Eq(F_79(x), F_80(x)*F_84(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_20(x)*F_6(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_19(x)*F_26(x)*F_29(x))
Eq(F_84(x), F_20(x) + F_85(x))
Eq(F_85(x), F_26(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_26(x)*F_88(x))
Eq(F_88(x), F_89(x)/(F_26(x)*F_36(x)))
Eq(F_89(x), F_43(x))
Eq(F_90(x), F_20(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_93(x))
Eq(F_92(x), F_6(x)*F_85(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_26(x)*F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_19(x)*F_26(x)*F_97(x))
Eq(F_97(x), F_98(x)/F_26(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)/F_26(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), -F_27(x) + F_73(x))
Eq(F_102(x), -F_103(x) + F_39(x))
Eq(F_103(x), F_101(x) + F_45(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_26(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_26(x)*F_37(x)*F_97(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_26(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_36(x)*F_6(x))
Eq(F_112(x), F_113(x)*F_37(x))
Eq(F_113(x), F_114(x) - F_12(x))
Eq(F_114(x), F_115(x) - F_211(x))
Eq(F_115(x), F_116(x) + F_117(x))
Eq(F_116(x), F_12(x)**2)
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)/F_26(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_19(x)*F_26(x))
Eq(F_121(x), F_122(x)/F_23(x))
Eq(F_122(x), F_123(x) - F_209(x))
Eq(F_123(x), F_124(x)/F_26(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) - F_203(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_26(x))
Eq(F_128(x), F_129(x) + F_195(x))
Eq(F_129(x), F_130(x) + F_192(x))
Eq(F_130(x), F_12(x)*F_131(x))
Eq(F_131(x), F_132(x) + F_51(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)*F_26(x))
Eq(F_134(x), F_135(x) + F_188(x))
Eq(F_135(x), F_136(x) + F_140(x))
Eq(F_136(x), F_137(x)*F_51(x))
Eq(F_137(x), F_1(x) + F_138(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_137(x)*F_26(x))
Eq(F_140(x), F_141(x)/F_26(x))
Eq(F_141(x), F_142(x) - F_187(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_26(x))
Eq(F_144(x), F_145(x) - F_180(x))
Eq(F_145(x), F_146(x)/F_26(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x) + F_179(x))
Eq(F_148(x), F_149(x) - F_173(x))
Eq(F_149(x), F_150(x) - F_165(x))
Eq(F_150(x), F_151(x) + F_158(x))
Eq(F_151(x), F_152(x) - F_155(x))
Eq(F_152(x), F_153(x)/F_26(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_103(x) - F_63(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), -F_21(x) + F_88(x))
Eq(F_157(x), -F_27(x) + F_99(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_11(x)*F_160(x)*F_26(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_26(x))
Eq(F_162(x), F_163(x)/F_26(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_158(x) + F_67(x))
Eq(F_165(x), F_166(x) - F_56(x))
Eq(F_166(x), F_167(x) - F_169(x))
Eq(F_167(x), F_168(x)/F_26(x))
Eq(F_168(x), F_103(x))
Eq(F_169(x), F_170(x) + F_45(x))
Eq(F_170(x), F_171(x)/F_26(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_101(x) + F_85(x))
Eq(F_173(x), F_174(x) - F_177(x))
Eq(F_174(x), F_175(x) + F_27(x))
Eq(F_175(x), F_164(x) - F_176(x))
Eq(F_176(x), F_137(x)*F_6(x))
Eq(F_177(x), -F_12(x) + F_178(x))
Eq(F_178(x), F_12(x) + F_67(x))
Eq(F_179(x), F_138(x)*F_17(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x)*F_183(x)*F_26(x))
Eq(F_182(x), F_20(x) + F_45(x))
Eq(F_183(x), F_184(x) - F_186(x))
Eq(F_184(x), F_185(x)/F_26(x))
Eq(F_185(x), F_132(x))
Eq(F_186(x), F_135(x) - F_23(x))
Eq(F_187(x), F_137(x)*F_68(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x)*F_20(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_183(x)*F_26(x))
Eq(F_192(x), F_193(x)*F_23(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_114(x)*F_26(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_197(x)*F_26(x))
Eq(F_197(x), F_198(x) + F_201(x))
Eq(F_198(x), F_11(x)*F_199(x))
Eq(F_199(x), F_200(x)/F_26(x))
Eq(F_200(x), F_126(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_121(x)*F_19(x)*F_23(x))
Eq(F_203(x), F_204(x)*F_6(x))
Eq(F_204(x), F_1(x) + F_205(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_207(x)*F_26(x))
Eq(F_207(x), F_204(x) + F_208(x))
Eq(F_208(x), F_138(x))
Eq(F_209(x), F_11(x)*F_210(x))
Eq(F_210(x), F_131(x) - F_204(x))
Eq(F_211(x), F_212(x) + F_213(x))
Eq(F_212(x), F_12(x)*F_6(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_215(x)*F_216(x)*F_26(x))
Eq(F_215(x), F_21(x) + F_27(x))
Eq(F_216(x), F_217(x)/F_26(x))
Eq(F_217(x), F_113(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_220(x)*F_26(x))
Eq(F_220(x), F_221(x) + F_234(x))
Eq(F_221(x), F_222(x) + F_233(x))
Eq(F_222(x), F_223(x)*F_37(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_20(x)*F_225(x)*F_26(x))
Eq(F_225(x), F_226(x)/F_26(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_228(x) + F_229(x))
Eq(F_228(x), F_193(x)*F_20(x))
Eq(F_229(x), F_230(x) - F_232(x))
Eq(F_230(x), F_231(x)/F_26(x))
Eq(F_231(x), F_120(x))
Eq(F_232(x), F_121(x)*F_20(x))
Eq(F_233(x), F_12(x)*F_21(x)*F_41(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_20(x)*F_236(x)*F_26(x))
Eq(F_236(x), F_237(x)/F_26(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x) - F_242(x))
Eq(F_239(x), F_240(x)/F_26(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_11(x)*F_26(x)*F_39(x))
Eq(F_242(x), F_17(x)*F_4(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"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": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 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"children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"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], [0, 0]]}, {"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, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"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, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"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]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25717/
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[26,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = (1+F[6,x])*x+F[6,x]^2
F[7,x] = F[8,x]
F[8,x] = F[26,x]*F[9,x]
F[9,x] = F[10,x]+F[32,x]
F[10,x] = F[11,x]*F[2,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = 2+F[12,x]^2+(-2+x)*F[12,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[26,x]
F[15,x] = 1/F[26,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[11,x]*F[19,x]*F[26,x]
F[19,x] = F[20,x]+F[27,x]
F[20,x] = F[1,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]*F[26,x]
F[23,x] = F[20,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[20,x]*F[23,x]*F[26,x]
F[26,x] = x
F[27,x] = F[28,x]
F[28,x] = F[26,x]*F[29,x]
F[29,x] = 1/F[26,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[20,x]+F[11,x]
F[32,x] = F[218,x]+F[33,x]
F[33,x] = F[108,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[26,x]*F[36,x]
F[36,x] = F[37,x]+F[41,x]
F[37,x] = F[19,x]+F[38,x]
F[38,x] = -F[41,x]+F[39,x]
F[39,x] = 1/F[26,x]*F[40,x]
F[40,x] = F[7,x]
F[41,x] = F[104,x]+F[42,x]
F[42,x] = F[34,x]+F[43,x]
F[43,x] = F[44,x]+F[70,x]
F[44,x] = -F[64,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[26,x]*F[47,x]
F[47,x] = 1/F[26,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[20,x]+F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = -2+x^2+8*x+F[51,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[51,x]
F[52,x] = F[53,x]
F[53,x] = F[26,x]*F[54,x]
F[54,x] = 1/F[26,x]*F[55,x]
F[55,x] = F[56,x]
F[56,x] = 1/F[26,x]*F[57,x]
F[57,x] = -F[68,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[26,x]*F[60,x]
F[60,x] = 1/F[26,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]+F[66,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = (x^2+4*x-1)*F[64,x]^2+(4*x^2-5*x+2)*F[64,x]+4*x^2-x
F[65,x] = F[26,x]*F[6,x]
F[66,x] = F[26,x]*F[67,x]
F[67,x] = F[18,x]
F[68,x] = F[6,x]+F[69,x]
F[69,x] = F[26,x]*F[64,x]
F[70,x] = F[71,x]
F[71,x] = F[26,x]*F[72,x]*F[88,x]
F[72,x] = F[102,x]+F[73,x]
F[73,x] = F[74,x]+F[76,x]
F[74,x] = F[6,x]*F[75,x]
F[75,x] = F[1,x]+F[26,x]
F[76,x] = F[77,x]
F[77,x] = F[26,x]*F[78,x]
F[78,x] = F[79,x]+F[90,x]
F[79,x] = F[80,x]*F[84,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[20,x]*F[6,x]
F[82,x] = F[83,x]
F[83,x] = F[19,x]*F[26,x]*F[29,x]
F[84,x] = F[20,x]+F[85,x]
F[85,x] = F[26,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[26,x]*F[88,x]
F[88,x] = 1/F[26,x]/F[36,x]*F[89,x]
F[89,x] = F[43,x]
F[90,x] = F[20,x]*F[91,x]
F[91,x] = F[92,x]+F[93,x]
F[92,x] = F[6,x]*F[85,x]
F[93,x] = F[94,x]
F[94,x] = F[26,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[19,x]*F[26,x]*F[97,x]
F[97,x] = 1/F[26,x]*F[98,x]
F[98,x] = F[99,x]
F[99,x] = 1/F[26,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = -F[27,x]+F[73,x]
F[102,x] = -F[103,x]+F[39,x]
F[103,x] = F[101,x]+F[45,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[26,x]
F[106,x] = F[107,x]
F[107,x] = F[26,x]*F[37,x]*F[97,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[26,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[36,x]*F[6,x]
F[112,x] = F[113,x]*F[37,x]
F[113,x] = -F[12,x]+F[114,x]
F[114,x] = -F[211,x]+F[115,x]
F[115,x] = F[116,x]+F[117,x]
F[116,x] = F[12,x]^2
F[117,x] = F[118,x]
F[118,x] = 1/F[26,x]*F[119,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[19,x]*F[26,x]
F[121,x] = 1/F[23,x]*F[122,x]
F[122,x] = -F[209,x]+F[123,x]
F[123,x] = 1/F[26,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = -F[203,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[26,x]
F[128,x] = F[129,x]+F[195,x]
F[129,x] = F[130,x]+F[192,x]
F[130,x] = F[12,x]*F[131,x]
F[131,x] = F[132,x]+F[51,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]*F[26,x]
F[134,x] = F[135,x]+F[188,x]
F[135,x] = F[136,x]+F[140,x]
F[136,x] = F[137,x]*F[51,x]
F[137,x] = F[1,x]+F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[137,x]*F[26,x]
F[140,x] = 1/F[26,x]*F[141,x]
F[141,x] = -F[187,x]+F[142,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[26,x]
F[144,x] = -F[180,x]+F[145,x]
F[145,x] = 1/F[26,x]*F[146,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]+F[179,x]
F[148,x] = -F[173,x]+F[149,x]
F[149,x] = -F[165,x]+F[150,x]
F[150,x] = F[151,x]+F[158,x]
F[151,x] = -F[155,x]+F[152,x]
F[152,x] = 1/F[26,x]*F[153,x]
F[153,x] = F[154,x]
F[154,x] = -F[63,x]+F[103,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = -F[21,x]+F[88,x]
F[157,x] = -F[27,x]+F[99,x]
F[158,x] = F[159,x]
F[159,x] = F[11,x]*F[160,x]*F[26,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[26,x]
F[162,x] = 1/F[26,x]*F[163,x]
F[163,x] = F[164,x]
F[164,x] = F[158,x]+F[67,x]
F[165,x] = -F[56,x]+F[166,x]
F[166,x] = -F[169,x]+F[167,x]
F[167,x] = 1/F[26,x]*F[168,x]
F[168,x] = F[103,x]
F[169,x] = F[170,x]+F[45,x]
F[170,x] = 1/F[26,x]*F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[101,x]+F[85,x]
F[173,x] = -F[177,x]+F[174,x]
F[174,x] = F[175,x]+F[27,x]
F[175,x] = -F[176,x]+F[164,x]
F[176,x] = F[137,x]*F[6,x]
F[177,x] = -F[12,x]+F[178,x]
F[178,x] = F[12,x]+F[67,x]
F[179,x] = F[138,x]*F[17,x]
F[180,x] = F[181,x]
F[181,x] = F[182,x]*F[183,x]*F[26,x]
F[182,x] = F[20,x]+F[45,x]
F[183,x] = -F[186,x]+F[184,x]
F[184,x] = 1/F[26,x]*F[185,x]
F[185,x] = F[132,x]
F[186,x] = -F[23,x]+F[135,x]
F[187,x] = F[137,x]*F[68,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]*F[20,x]
F[190,x] = F[191,x]
F[191,x] = F[183,x]*F[26,x]
F[192,x] = F[193,x]*F[23,x]
F[193,x] = F[194,x]
F[194,x] = F[114,x]*F[26,x]
F[195,x] = F[196,x]
F[196,x] = F[197,x]*F[26,x]
F[197,x] = F[198,x]+F[201,x]
F[198,x] = F[11,x]*F[199,x]
F[199,x] = 1/F[26,x]*F[200,x]
F[200,x] = F[126,x]
F[201,x] = F[202,x]
F[202,x] = F[121,x]*F[19,x]*F[23,x]
F[203,x] = F[204,x]*F[6,x]
F[204,x] = F[1,x]+F[205,x]
F[205,x] = F[206,x]
F[206,x] = F[207,x]*F[26,x]
F[207,x] = F[204,x]+F[208,x]
F[208,x] = F[138,x]
F[209,x] = F[11,x]*F[210,x]
F[210,x] = -F[204,x]+F[131,x]
F[211,x] = F[212,x]+F[213,x]
F[212,x] = F[12,x]*F[6,x]
F[213,x] = F[214,x]
F[214,x] = F[215,x]*F[216,x]*F[26,x]
F[215,x] = F[21,x]+F[27,x]
F[216,x] = 1/F[26,x]*F[217,x]
F[217,x] = F[113,x]
F[218,x] = F[219,x]
F[219,x] = F[220,x]*F[26,x]
F[220,x] = F[221,x]+F[234,x]
F[221,x] = F[222,x]+F[233,x]
F[222,x] = F[223,x]*F[37,x]
F[223,x] = F[224,x]
F[224,x] = F[20,x]*F[225,x]*F[26,x]
F[225,x] = 1/F[26,x]*F[226,x]
F[226,x] = F[227,x]
F[227,x] = F[228,x]+F[229,x]
F[228,x] = F[193,x]*F[20,x]
F[229,x] = -F[232,x]+F[230,x]
F[230,x] = 1/F[26,x]*F[231,x]
F[231,x] = F[120,x]
F[232,x] = F[121,x]*F[20,x]
F[233,x] = F[12,x]*F[21,x]*F[41,x]
F[234,x] = F[235,x]
F[235,x] = F[20,x]*F[236,x]*F[26,x]
F[236,x] = 1/F[26,x]*F[237,x]
F[237,x] = F[238,x]
F[238,x] = -F[242,x]+F[239,x]
F[239,x] = 1/F[26,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = F[11,x]*F[26,x]*F[39,x]
F[242,x] = F[17,x]*F[4,x]
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_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = F_{6}\! \left(x \right) x +F_{6} \left(x \right)^{2}+x
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{26}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{32}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = F_{12}\! \left(x \right) x +F_{12} \left(x \right)^{2}-2 F_{12}\! \left(x \right)+2
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{11}\! \left(x \right) F_{19}\! \left(x \right) F_{26}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{27}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{26}\! \left(x \right)
F_{23}\! \left(x \right) = F_{20}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{20}\! \left(x \right) F_{23}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = x
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{26}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{11}\! \left(x \right)
F_{32}\! \left(x \right) = F_{218}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{108}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{26}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)
F_{37}\! \left(x \right) = F_{19}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{41}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = \frac{F_{40}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{40}\! \left(x \right) = F_{7}\! \left(x \right)
F_{41}\! \left(x \right) = F_{104}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{34}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{70}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{26}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}+2 x^{2} F_{51}\! \left(x \right)+4 x F_{51} \left(x \right)^{2}+x^{2}-13 x F_{51}\! \left(x \right)-F_{51} \left(x \right)^{2}+8 x +4 F_{51}\! \left(x \right)-2
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{26}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{57}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{26}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{66}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = x^{2} F_{64} \left(x \right)^{2}+4 x^{2} F_{64}\! \left(x \right)+4 x F_{64} \left(x \right)^{2}+4 x^{2}-5 x F_{64}\! \left(x \right)-F_{64} \left(x \right)^{2}-x +2 F_{64}\! \left(x \right)
F_{65}\! \left(x \right) = F_{26}\! \left(x \right) F_{6}\! \left(x \right)
F_{66}\! \left(x \right) = F_{26}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{18}\! \left(x \right)
F_{68}\! \left(x \right) = F_{6}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{26}\! \left(x \right) F_{64}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{26}\! \left(x \right) F_{72}\! \left(x \right) F_{88}\! \left(x \right)
F_{72}\! \left(x \right) = F_{102}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{76}\! \left(x \right)
F_{74}\! \left(x \right) = F_{6}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{26}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{90}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right) F_{84}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{19}\! \left(x \right) F_{26}\! \left(x \right) F_{29}\! \left(x \right)
F_{84}\! \left(x \right) = F_{20}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{26}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{26}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{26}\! \left(x \right) F_{36}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{43}\! \left(x \right)
F_{90}\! \left(x \right) = F_{20}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{93}\! \left(x \right)
F_{92}\! \left(x \right) = F_{6}\! \left(x \right) F_{85}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{26}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{19}\! \left(x \right) F_{26}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{73}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{39}\! \left(x \right)
F_{103}\! \left(x \right) = F_{101}\! \left(x \right)+F_{45}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{26}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{26}\! \left(x \right) F_{37}\! \left(x \right) F_{97}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{26}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{36}\! \left(x \right) F_{6}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{37}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{117}\! \left(x \right)
F_{116}\! \left(x \right) = F_{12} \left(x \right)^{2}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{19}\! \left(x \right) F_{26}\! \left(x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{122}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{26}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{195}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{192}\! \left(x \right)
F_{130}\! \left(x \right) = F_{12}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{51}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{26}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{188}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{140}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{51}\! \left(x \right)
F_{137}\! \left(x \right) = F_{1}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{137}\! \left(x \right) F_{26}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{141}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{26}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{179}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{173}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{158}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{155}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{103}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{88}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{99}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{11}\! \left(x \right) F_{160}\! \left(x \right) F_{26}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{26}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{158}\! \left(x \right)+F_{67}\! \left(x \right)
F_{165}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{169}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{103}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{45}\! \left(x \right)
F_{170}\! \left(x \right) = \frac{F_{171}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{101}\! \left(x \right)+F_{85}\! \left(x \right)
F_{173}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{27}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{164}\! \left(x \right)
F_{176}\! \left(x \right) = F_{137}\! \left(x \right) F_{6}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{12}\! \left(x \right)+F_{67}\! \left(x \right)
F_{179}\! \left(x \right) = F_{138}\! \left(x \right) F_{17}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{183}\! \left(x \right) F_{26}\! \left(x \right)
F_{182}\! \left(x \right) = F_{20}\! \left(x \right)+F_{45}\! \left(x \right)
F_{183}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{185}\! \left(x \right) = F_{132}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{135}\! \left(x \right)
F_{187}\! \left(x \right) = F_{137}\! \left(x \right) F_{68}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{20}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{183}\! \left(x \right) F_{26}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{23}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{114}\! \left(x \right) F_{26}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{26}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)+F_{201}\! \left(x \right)
F_{198}\! \left(x \right) = F_{11}\! \left(x \right) F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = \frac{F_{200}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{200}\! \left(x \right) = F_{126}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{121}\! \left(x \right) F_{19}\! \left(x \right) F_{23}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right) F_{6}\! \left(x \right)
F_{204}\! \left(x \right) = F_{1}\! \left(x \right)+F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{26}\! \left(x \right)
F_{207}\! \left(x \right) = F_{204}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{138}\! \left(x \right)
F_{209}\! \left(x \right) = F_{11}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = -F_{204}\! \left(x \right)+F_{131}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{213}\! \left(x \right)
F_{212}\! \left(x \right) = F_{12}\! \left(x \right) F_{6}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right) F_{216}\! \left(x \right) F_{26}\! \left(x \right)
F_{215}\! \left(x \right) = F_{21}\! \left(x \right)+F_{27}\! \left(x \right)
F_{216}\! \left(x \right) = \frac{F_{217}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{217}\! \left(x \right) = F_{113}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right) F_{26}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{234}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{233}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right) F_{37}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{20}\! \left(x \right) F_{225}\! \left(x \right) F_{26}\! \left(x \right)
F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{229}\! \left(x \right)
F_{228}\! \left(x \right) = F_{193}\! \left(x \right) F_{20}\! \left(x \right)
F_{229}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{231}\! \left(x \right) = F_{120}\! \left(x \right)
F_{232}\! \left(x \right) = F_{121}\! \left(x \right) F_{20}\! \left(x \right)
F_{233}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right) F_{41}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{20}\! \left(x \right) F_{236}\! \left(x \right) F_{26}\! \left(x \right)
F_{236}\! \left(x \right) = \frac{F_{237}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{242}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{11}\! \left(x \right) F_{26}\! \left(x \right) F_{39}\! \left(x \right)
F_{242}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \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_26(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), (x - 3)*(F_6(x) + 1) + (F_6(x) + 1)**2 + F_6(x) + 2)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_26(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_32(x))
Eq(F_10(x), F_11(x)*F_2(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), (x - 2)*F_12(x) + F_12(x)**2 + 2)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_26(x))
Eq(F_15(x), F_16(x)/F_26(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_11(x)*F_19(x)*F_26(x))
Eq(F_19(x), F_20(x) + F_27(x))
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x)*F_26(x))
Eq(F_23(x), F_20(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_20(x)*F_23(x)*F_26(x))
Eq(F_26(x), x)
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_26(x)*F_29(x))
Eq(F_29(x), F_30(x)/F_26(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_11(x) - F_20(x))
Eq(F_32(x), F_218(x) + F_33(x))
Eq(F_33(x), F_108(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_26(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_41(x))
Eq(F_37(x), F_19(x) + F_38(x))
Eq(F_38(x), F_39(x) - F_41(x))
Eq(F_39(x), F_40(x)/F_26(x))
Eq(F_40(x), F_7(x))
Eq(F_41(x), F_104(x) + F_42(x))
Eq(F_42(x), F_34(x) + F_43(x))
Eq(F_43(x), F_44(x) + F_70(x))
Eq(F_44(x), F_45(x) - F_64(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_26(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_26(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_20(x) + F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_51(x)**2 + (2*x**2 - 13*x + 4)*F_51(x) - 2)
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_26(x)*F_54(x))
Eq(F_54(x), F_55(x)/F_26(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_57(x)/F_26(x))
Eq(F_57(x), F_58(x) - F_68(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_26(x)*F_60(x))
Eq(F_60(x), F_61(x)/F_26(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) + F_66(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), x**2 + 8*x + (F_64(x) + 1)**2*(x**2 + 4*x - 1) + (F_64(x) + 1)*(2*x**2 - 13*x + 3) + F_64(x) - 2)
Eq(F_65(x), F_26(x)*F_6(x))
Eq(F_66(x), F_26(x)*F_67(x))
Eq(F_67(x), F_18(x))
Eq(F_68(x), F_6(x) + F_69(x))
Eq(F_69(x), F_26(x)*F_64(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_26(x)*F_72(x)*F_88(x))
Eq(F_72(x), F_102(x) + F_73(x))
Eq(F_73(x), F_74(x) + F_76(x))
Eq(F_74(x), F_6(x)*F_75(x))
Eq(F_75(x), F_1(x) + F_26(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_26(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_90(x))
Eq(F_79(x), F_80(x)*F_84(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_20(x)*F_6(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_19(x)*F_26(x)*F_29(x))
Eq(F_84(x), F_20(x) + F_85(x))
Eq(F_85(x), F_26(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_26(x)*F_88(x))
Eq(F_88(x), F_89(x)/(F_26(x)*F_36(x)))
Eq(F_89(x), F_43(x))
Eq(F_90(x), F_20(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_93(x))
Eq(F_92(x), F_6(x)*F_85(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_26(x)*F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_19(x)*F_26(x)*F_97(x))
Eq(F_97(x), F_98(x)/F_26(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)/F_26(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), -F_27(x) + F_73(x))
Eq(F_102(x), -F_103(x) + F_39(x))
Eq(F_103(x), F_101(x) + F_45(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_26(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_26(x)*F_37(x)*F_97(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_26(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_36(x)*F_6(x))
Eq(F_112(x), F_113(x)*F_37(x))
Eq(F_113(x), F_114(x) - F_12(x))
Eq(F_114(x), F_115(x) - F_211(x))
Eq(F_115(x), F_116(x) + F_117(x))
Eq(F_116(x), F_12(x)**2)
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)/F_26(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_19(x)*F_26(x))
Eq(F_121(x), F_122(x)/F_23(x))
Eq(F_122(x), F_123(x) - F_209(x))
Eq(F_123(x), F_124(x)/F_26(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) - F_203(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_26(x))
Eq(F_128(x), F_129(x) + F_195(x))
Eq(F_129(x), F_130(x) + F_192(x))
Eq(F_130(x), F_12(x)*F_131(x))
Eq(F_131(x), F_132(x) + F_51(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)*F_26(x))
Eq(F_134(x), F_135(x) + F_188(x))
Eq(F_135(x), F_136(x) + F_140(x))
Eq(F_136(x), F_137(x)*F_51(x))
Eq(F_137(x), F_1(x) + F_138(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_137(x)*F_26(x))
Eq(F_140(x), F_141(x)/F_26(x))
Eq(F_141(x), F_142(x) - F_187(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_26(x))
Eq(F_144(x), F_145(x) - F_180(x))
Eq(F_145(x), F_146(x)/F_26(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x) + F_179(x))
Eq(F_148(x), F_149(x) - F_173(x))
Eq(F_149(x), F_150(x) - F_165(x))
Eq(F_150(x), F_151(x) + F_158(x))
Eq(F_151(x), F_152(x) - F_155(x))
Eq(F_152(x), F_153(x)/F_26(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_103(x) - F_63(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), -F_21(x) + F_88(x))
Eq(F_157(x), -F_27(x) + F_99(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_11(x)*F_160(x)*F_26(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_26(x))
Eq(F_162(x), F_163(x)/F_26(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_158(x) + F_67(x))
Eq(F_165(x), F_166(x) - F_56(x))
Eq(F_166(x), F_167(x) - F_169(x))
Eq(F_167(x), F_168(x)/F_26(x))
Eq(F_168(x), F_103(x))
Eq(F_169(x), F_170(x) + F_45(x))
Eq(F_170(x), F_171(x)/F_26(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_101(x) + F_85(x))
Eq(F_173(x), F_174(x) - F_177(x))
Eq(F_174(x), F_175(x) + F_27(x))
Eq(F_175(x), F_164(x) - F_176(x))
Eq(F_176(x), F_137(x)*F_6(x))
Eq(F_177(x), -F_12(x) + F_178(x))
Eq(F_178(x), F_12(x) + F_67(x))
Eq(F_179(x), F_138(x)*F_17(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x)*F_183(x)*F_26(x))
Eq(F_182(x), F_20(x) + F_45(x))
Eq(F_183(x), F_184(x) - F_186(x))
Eq(F_184(x), F_185(x)/F_26(x))
Eq(F_185(x), F_132(x))
Eq(F_186(x), F_135(x) - F_23(x))
Eq(F_187(x), F_137(x)*F_68(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x)*F_20(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_183(x)*F_26(x))
Eq(F_192(x), F_193(x)*F_23(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_114(x)*F_26(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_197(x)*F_26(x))
Eq(F_197(x), F_198(x) + F_201(x))
Eq(F_198(x), F_11(x)*F_199(x))
Eq(F_199(x), F_200(x)/F_26(x))
Eq(F_200(x), F_126(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_121(x)*F_19(x)*F_23(x))
Eq(F_203(x), F_204(x)*F_6(x))
Eq(F_204(x), F_1(x) + F_205(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_207(x)*F_26(x))
Eq(F_207(x), F_204(x) + F_208(x))
Eq(F_208(x), F_138(x))
Eq(F_209(x), F_11(x)*F_210(x))
Eq(F_210(x), F_131(x) - F_204(x))
Eq(F_211(x), F_212(x) + F_213(x))
Eq(F_212(x), F_12(x)*F_6(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_215(x)*F_216(x)*F_26(x))
Eq(F_215(x), F_21(x) + F_27(x))
Eq(F_216(x), F_217(x)/F_26(x))
Eq(F_217(x), F_113(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_220(x)*F_26(x))
Eq(F_220(x), F_221(x) + F_234(x))
Eq(F_221(x), F_222(x) + F_233(x))
Eq(F_222(x), F_223(x)*F_37(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_20(x)*F_225(x)*F_26(x))
Eq(F_225(x), F_226(x)/F_26(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_228(x) + F_229(x))
Eq(F_228(x), F_193(x)*F_20(x))
Eq(F_229(x), F_230(x) - F_232(x))
Eq(F_230(x), F_231(x)/F_26(x))
Eq(F_231(x), F_120(x))
Eq(F_232(x), F_121(x)*F_20(x))
Eq(F_233(x), F_12(x)*F_21(x)*F_41(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_20(x)*F_236(x)*F_26(x))
Eq(F_236(x), F_237(x)/F_26(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x) - F_242(x))
Eq(F_239(x), F_240(x)/F_26(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_11(x)*F_26(x)*F_39(x))
Eq(F_242(x), F_17(x)*F_4(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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"children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"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], [0, 0]]}, {"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, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"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, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"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]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25781/
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[25,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 2+F[5,x]^2+(-2+x)*F[5,x]
F[6,x] = F[2,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[25,x]*F[9,x]
F[9,x] = F[10,x]+F[31,x]
F[10,x] = F[11,x]*F[2,x]
F[11,x] = F[12,x]+F[5,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[25,x]
F[14,x] = 1/F[25,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[11,x]*F[18,x]*F[25,x]
F[18,x] = F[19,x]+F[26,x]
F[19,x] = F[1,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[25,x]
F[22,x] = F[19,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[19,x]*F[22,x]*F[25,x]
F[25,x] = x
F[26,x] = F[27,x]
F[27,x] = F[25,x]*F[28,x]
F[28,x] = 1/F[25,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[19,x]+F[11,x]
F[31,x] = F[182,x]+F[32,x]
F[32,x] = F[104,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[25,x]*F[35,x]
F[35,x] = F[36,x]+F[40,x]
F[36,x] = F[18,x]+F[37,x]
F[37,x] = -F[40,x]+F[38,x]
F[38,x] = 1/F[25,x]*F[39,x]
F[39,x] = F[7,x]
F[40,x] = F[41,x]+F[72,x]
F[41,x] = F[42,x]
F[42,x] = F[25,x]*F[35,x]*F[43,x]
F[43,x] = 1/F[25,x]/F[71,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[25,x]*F[47,x]
F[47,x] = 1/F[25,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[19,x]+F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = -2+x^2+8*x+F[51,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[51,x]
F[52,x] = F[53,x]
F[53,x] = F[25,x]*F[54,x]
F[54,x] = 1/F[25,x]*F[55,x]
F[55,x] = F[56,x]
F[56,x] = 1/F[25,x]*F[57,x]
F[57,x] = -F[69,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[25,x]*F[60,x]
F[60,x] = 1/F[25,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]+F[67,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = (x^2+4*x-1)*F[64,x]^2+(4*x^2-5*x+2)*F[64,x]+4*x^2-x
F[65,x] = F[25,x]*F[66,x]
F[66,x] = (1+F[66,x])*x+F[66,x]^2
F[67,x] = F[25,x]*F[68,x]
F[68,x] = F[17,x]
F[69,x] = F[66,x]+F[70,x]
F[70,x] = F[25,x]*F[64,x]
F[71,x] = F[19,x]+F[45,x]
F[72,x] = F[73,x]
F[73,x] = F[25,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[25,x]*F[36,x]*F[76,x]
F[76,x] = 1/F[25,x]*F[77,x]
F[77,x] = F[78,x]
F[78,x] = -F[47,x]+F[79,x]
F[79,x] = 1/F[25,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[45,x]+F[82,x]
F[82,x] = -F[26,x]+F[83,x]
F[83,x] = F[84,x]+F[86,x]
F[84,x] = F[66,x]*F[85,x]
F[85,x] = F[1,x]+F[25,x]
F[86,x] = F[87,x]
F[87,x] = F[25,x]*F[88,x]
F[88,x] = F[89,x]+F[97,x]
F[89,x] = F[90,x]*F[94,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[19,x]*F[66,x]
F[92,x] = F[93,x]
F[93,x] = F[18,x]*F[25,x]*F[28,x]
F[94,x] = F[19,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[25,x]*F[43,x]
F[97,x] = F[19,x]*F[98,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[66,x]*F[95,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[25,x]
F[102,x] = F[103,x]
F[103,x] = F[18,x]*F[25,x]*F[76,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[25,x]
F[106,x] = F[107,x]+F[108,x]
F[107,x] = F[35,x]*F[66,x]
F[108,x] = F[109,x]*F[36,x]
F[109,x] = F[110,x]
F[110,x] = -F[5,x]+F[111,x]
F[111,x] = -F[175,x]+F[112,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[5,x]^2
F[114,x] = F[115,x]
F[115,x] = 1/F[25,x]*F[116,x]
F[116,x] = F[117,x]
F[117,x] = F[118,x]*F[18,x]*F[25,x]
F[118,x] = 1/F[22,x]*F[119,x]
F[119,x] = -F[173,x]+F[120,x]
F[120,x] = 1/F[25,x]*F[121,x]
F[121,x] = F[122,x]
F[122,x] = -F[164,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[25,x]
F[125,x] = F[126,x]+F[156,x]
F[126,x] = F[127,x]+F[153,x]
F[127,x] = F[128,x]*F[5,x]
F[128,x] = F[129,x]+F[51,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[25,x]
F[131,x] = F[132,x]+F[149,x]
F[132,x] = -F[143,x]+F[133,x]
F[133,x] = 1/F[25,x]/F[43,x]*F[134,x]
F[134,x] = F[135,x]
F[135,x] = -F[138,x]+F[136,x]
F[136,x] = 1/F[25,x]*F[137,x]
F[137,x] = F[81,x]
F[138,x] = -F[141,x]+F[139,x]
F[139,x] = F[140,x]+F[78,x]
F[140,x] = F[43,x]*F[71,x]
F[141,x] = F[142,x]*F[43,x]
F[142,x] = -F[51,x]+F[71,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[25,x]*F[71,x]
F[145,x] = -F[148,x]+F[146,x]
F[146,x] = 1/F[25,x]*F[147,x]
F[147,x] = F[129,x]
F[148,x] = -F[22,x]+F[132,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[19,x]
F[151,x] = F[152,x]
F[152,x] = F[145,x]*F[25,x]
F[153,x] = F[154,x]*F[22,x]
F[154,x] = F[155,x]
F[155,x] = F[111,x]*F[25,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[25,x]
F[158,x] = F[159,x]+F[162,x]
F[159,x] = F[11,x]*F[160,x]
F[160,x] = 1/F[25,x]*F[161,x]
F[161,x] = F[123,x]
F[162,x] = F[163,x]
F[163,x] = F[118,x]*F[18,x]*F[22,x]
F[164,x] = F[165,x]*F[66,x]
F[165,x] = F[1,x]+F[166,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]*F[25,x]
F[168,x] = F[165,x]+F[169,x]
F[169,x] = F[170,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[25,x]
F[172,x] = F[1,x]+F[170,x]
F[173,x] = F[11,x]*F[174,x]
F[174,x] = -F[165,x]+F[128,x]
F[175,x] = F[176,x]+F[177,x]
F[176,x] = F[5,x]*F[66,x]
F[177,x] = F[178,x]
F[178,x] = F[179,x]*F[180,x]*F[25,x]
F[179,x] = F[20,x]+F[26,x]
F[180,x] = 1/F[25,x]*F[181,x]
F[181,x] = F[109,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[25,x]
F[184,x] = F[185,x]+F[198,x]
F[185,x] = F[186,x]+F[197,x]
F[186,x] = F[187,x]*F[36,x]
F[187,x] = F[188,x]
F[188,x] = F[189,x]*F[19,x]*F[25,x]
F[189,x] = 1/F[25,x]*F[190,x]
F[190,x] = F[191,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[154,x]*F[19,x]
F[193,x] = -F[196,x]+F[194,x]
F[194,x] = 1/F[25,x]*F[195,x]
F[195,x] = F[117,x]
F[196,x] = F[118,x]*F[19,x]
F[197,x] = F[20,x]*F[40,x]*F[5,x]
F[198,x] = F[199,x]
F[199,x] = F[19,x]*F[200,x]*F[25,x]
F[200,x] = 1/F[25,x]*F[201,x]
F[201,x] = F[202,x]
F[202,x] = -F[206,x]+F[203,x]
F[203,x] = 1/F[25,x]*F[204,x]
F[204,x] = F[205,x]
F[205,x] = F[11,x]*F[25,x]*F[38,x]
F[206,x] = F[16,x]*F[4,x]
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_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = F_{5}\! \left(x \right) x +F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+2
F_{6}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{25}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{31}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{5}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{25}\! \left(x \right)
F_{14}\! \left(x \right) = \frac{F_{15}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{26}\! \left(x \right)
F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{22}\! \left(x \right) = F_{19}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{19}\! \left(x \right) F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = x
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{25}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{11}\! \left(x \right)
F_{31}\! \left(x \right) = F_{182}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{104}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{25}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{40}\! \left(x \right)
F_{36}\! \left(x \right) = F_{18}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{7}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{72}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{25}\! \left(x \right) F_{35}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{25}\! \left(x \right) F_{71}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{25}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}+2 x^{2} F_{51}\! \left(x \right)+4 x F_{51} \left(x \right)^{2}+x^{2}-13 x F_{51}\! \left(x \right)-F_{51} \left(x \right)^{2}+8 x +4 F_{51}\! \left(x \right)-2
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{25}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{57}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{25}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{67}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = x^{2} F_{64} \left(x \right)^{2}+4 x^{2} F_{64}\! \left(x \right)+4 x F_{64} \left(x \right)^{2}+4 x^{2}-5 x F_{64}\! \left(x \right)-F_{64} \left(x \right)^{2}-x +2 F_{64}\! \left(x \right)
F_{65}\! \left(x \right) = F_{25}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{66}\! \left(x \right) x +F_{66} \left(x \right)^{2}+x
F_{67}\! \left(x \right) = F_{25}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{17}\! \left(x \right)
F_{69}\! \left(x \right) = F_{66}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{25}\! \left(x \right) F_{64}\! \left(x \right)
F_{71}\! \left(x \right) = F_{19}\! \left(x \right)+F_{45}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{25}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{25}\! \left(x \right) F_{36}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{45}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{86}\! \left(x \right)
F_{84}\! \left(x \right) = F_{66}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{25}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{97}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right) F_{94}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{28}\! \left(x \right)
F_{94}\! \left(x \right) = F_{19}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{25}\! \left(x \right) F_{43}\! \left(x \right)
F_{97}\! \left(x \right) = F_{19}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{66}\! \left(x \right) F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{25}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{76}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{25}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{108}\! \left(x \right)
F_{107}\! \left(x \right) = F_{35}\! \left(x \right) F_{66}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{36}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{175}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{5} \left(x \right)^{2}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = \frac{F_{116}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{119}\! \left(x \right) = -F_{173}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{25}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{156}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{153}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{5}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{51}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{25}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{149}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{143}\! \left(x \right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{25}\! \left(x \right) F_{43}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{137}\! \left(x \right) = F_{81}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{141}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{78}\! \left(x \right)
F_{140}\! \left(x \right) = F_{43}\! \left(x \right) F_{71}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{43}\! \left(x \right)
F_{142}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{71}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{25}\! \left(x \right) F_{71}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{129}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{22}\! \left(x \right)+F_{132}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{19}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{145}\! \left(x \right) F_{25}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{22}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{111}\! \left(x \right) F_{25}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{25}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{162}\! \left(x \right)
F_{159}\! \left(x \right) = F_{11}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{123}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{118}\! \left(x \right) F_{18}\! \left(x \right) F_{22}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{66}\! \left(x \right)
F_{165}\! \left(x \right) = F_{1}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{25}\! \left(x \right)
F_{168}\! \left(x \right) = F_{165}\! \left(x \right)+F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{25}\! \left(x \right)
F_{172}\! \left(x \right) = F_{1}\! \left(x \right)+F_{170}\! \left(x \right)
F_{173}\! \left(x \right) = F_{11}\! \left(x \right) F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{128}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)
F_{176}\! \left(x \right) = F_{5}\! \left(x \right) F_{66}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{180}\! \left(x \right) F_{25}\! \left(x \right)
F_{179}\! \left(x \right) = F_{20}\! \left(x \right)+F_{26}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{109}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{25}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{198}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{197}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{36}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{19}\! \left(x \right) F_{25}\! \left(x \right)
F_{189}\! \left(x \right) = \frac{F_{190}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{154}\! \left(x \right) F_{19}\! \left(x \right)
F_{193}\! \left(x \right) = -F_{196}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = \frac{F_{195}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{195}\! \left(x \right) = F_{117}\! \left(x \right)
F_{196}\! \left(x \right) = F_{118}\! \left(x \right) F_{19}\! \left(x \right)
F_{197}\! \left(x \right) = F_{20}\! \left(x \right) F_{40}\! \left(x \right) F_{5}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{19}\! \left(x \right) F_{200}\! \left(x \right) F_{25}\! \left(x \right)
F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = -F_{206}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = \frac{F_{204}\! \left(x \right)}{F_{25}\! \left(x \right)}
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right) F_{38}\! \left(x \right)
F_{206}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \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_25(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), (x - 2)*F_5(x) + F_5(x)**2 + 2)
Eq(F_6(x), F_2(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_25(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_31(x))
Eq(F_10(x), F_11(x)*F_2(x))
Eq(F_11(x), F_12(x) + F_5(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_25(x))
Eq(F_14(x), F_15(x)/F_25(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_11(x)*F_18(x)*F_25(x))
Eq(F_18(x), F_19(x) + F_26(x))
Eq(F_19(x), F_1(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_25(x))
Eq(F_22(x), F_19(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_19(x)*F_22(x)*F_25(x))
Eq(F_25(x), x)
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_25(x)*F_28(x))
Eq(F_28(x), F_29(x)/F_25(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_11(x) - F_19(x))
Eq(F_31(x), F_182(x) + F_32(x))
Eq(F_32(x), F_104(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_25(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_40(x))
Eq(F_36(x), F_18(x) + F_37(x))
Eq(F_37(x), F_38(x) - F_40(x))
Eq(F_38(x), F_39(x)/F_25(x))
Eq(F_39(x), F_7(x))
Eq(F_40(x), F_41(x) + F_72(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_25(x)*F_35(x)*F_43(x))
Eq(F_43(x), F_44(x)/(F_25(x)*F_71(x)))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_25(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_25(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_19(x) + F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_51(x)**2 + (2*x**2 - 13*x + 4)*F_51(x) - 2)
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_25(x)*F_54(x))
Eq(F_54(x), F_55(x)/F_25(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_57(x)/F_25(x))
Eq(F_57(x), F_58(x) - F_69(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_25(x)*F_60(x))
Eq(F_60(x), F_61(x)/F_25(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) + F_67(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), x**2 + 8*x + (F_64(x) + 1)**2*(x**2 + 4*x - 1) + (F_64(x) + 1)*(2*x**2 - 13*x + 3) + F_64(x) - 2)
Eq(F_65(x), F_25(x)*F_66(x))
Eq(F_66(x), (x - 3)*(F_66(x) + 1) + (F_66(x) + 1)**2 + F_66(x) + 2)
Eq(F_67(x), F_25(x)*F_68(x))
Eq(F_68(x), F_17(x))
Eq(F_69(x), F_66(x) + F_70(x))
Eq(F_70(x), F_25(x)*F_64(x))
Eq(F_71(x), F_19(x) + F_45(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_25(x)*F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_25(x)*F_36(x)*F_76(x))
Eq(F_76(x), F_77(x)/F_25(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), -F_47(x) + F_79(x))
Eq(F_79(x), F_80(x)/F_25(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_45(x) + F_82(x))
Eq(F_82(x), -F_26(x) + F_83(x))
Eq(F_83(x), F_84(x) + F_86(x))
Eq(F_84(x), F_66(x)*F_85(x))
Eq(F_85(x), F_1(x) + F_25(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_25(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_97(x))
Eq(F_89(x), F_90(x)*F_94(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_19(x)*F_66(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_18(x)*F_25(x)*F_28(x))
Eq(F_94(x), F_19(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_25(x)*F_43(x))
Eq(F_97(x), F_19(x)*F_98(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_66(x)*F_95(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_25(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_18(x)*F_25(x)*F_76(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_25(x))
Eq(F_106(x), F_107(x) + F_108(x))
Eq(F_107(x), F_35(x)*F_66(x))
Eq(F_108(x), F_109(x)*F_36(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) - F_5(x))
Eq(F_111(x), F_112(x) - F_175(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_5(x)**2)
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)/F_25(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_118(x)*F_18(x)*F_25(x))
Eq(F_118(x), F_119(x)/F_22(x))
Eq(F_119(x), F_120(x) - F_173(x))
Eq(F_120(x), F_121(x)/F_25(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x) - F_164(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_25(x))
Eq(F_125(x), F_126(x) + F_156(x))
Eq(F_126(x), F_127(x) + F_153(x))
Eq(F_127(x), F_128(x)*F_5(x))
Eq(F_128(x), F_129(x) + F_51(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_25(x))
Eq(F_131(x), F_132(x) + F_149(x))
Eq(F_132(x), F_133(x) - F_143(x))
Eq(F_133(x), F_134(x)/(F_25(x)*F_43(x)))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x) - F_138(x))
Eq(F_136(x), F_137(x)/F_25(x))
Eq(F_137(x), F_81(x))
Eq(F_138(x), F_139(x) - F_141(x))
Eq(F_139(x), F_140(x) + F_78(x))
Eq(F_140(x), F_43(x)*F_71(x))
Eq(F_141(x), F_142(x)*F_43(x))
Eq(F_142(x), -F_51(x) + F_71(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_25(x)*F_71(x))
Eq(F_145(x), F_146(x) - F_148(x))
Eq(F_146(x), F_147(x)/F_25(x))
Eq(F_147(x), F_129(x))
Eq(F_148(x), F_132(x) - F_22(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_19(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_145(x)*F_25(x))
Eq(F_153(x), F_154(x)*F_22(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_111(x)*F_25(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_25(x))
Eq(F_158(x), F_159(x) + F_162(x))
Eq(F_159(x), F_11(x)*F_160(x))
Eq(F_160(x), F_161(x)/F_25(x))
Eq(F_161(x), F_123(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_118(x)*F_18(x)*F_22(x))
Eq(F_164(x), F_165(x)*F_66(x))
Eq(F_165(x), F_1(x) + F_166(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_25(x))
Eq(F_168(x), F_165(x) + F_169(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_25(x))
Eq(F_172(x), F_1(x) + F_170(x))
Eq(F_173(x), F_11(x)*F_174(x))
Eq(F_174(x), F_128(x) - F_165(x))
Eq(F_175(x), F_176(x) + F_177(x))
Eq(F_176(x), F_5(x)*F_66(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x)*F_180(x)*F_25(x))
Eq(F_179(x), F_20(x) + F_26(x))
Eq(F_180(x), F_181(x)/F_25(x))
Eq(F_181(x), F_109(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_25(x))
Eq(F_184(x), F_185(x) + F_198(x))
Eq(F_185(x), F_186(x) + F_197(x))
Eq(F_186(x), F_187(x)*F_36(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_189(x)*F_19(x)*F_25(x))
Eq(F_189(x), F_190(x)/F_25(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_154(x)*F_19(x))
Eq(F_193(x), F_194(x) - F_196(x))
Eq(F_194(x), F_195(x)/F_25(x))
Eq(F_195(x), F_117(x))
Eq(F_196(x), F_118(x)*F_19(x))
Eq(F_197(x), F_20(x)*F_40(x)*F_5(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_19(x)*F_200(x)*F_25(x))
Eq(F_200(x), F_201(x)/F_25(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x) - F_206(x))
Eq(F_203(x), F_204(x)/F_25(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_11(x)*F_25(x)*F_38(x))
Eq(F_206(x), F_16(x)*F_4(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"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": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [2, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 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