02314_02341_02431_03124_03214_03241_20314_20341_20431

Counting sequence:
1, 1, 2, 6, 24, 111, 548, 2795, 14520, 76280, 403620, 2145940, 11447166, 61205819, 327807644, 1757852272, 9435079872, 50676947909, 272336222086, 1464123033616, 7873854644954, 42355027121064, 227880652546502, 1226245090264075, 6599344491481290, 35519540816000204, 191191474205476684, 1029195076002886236, 5540508141866348462, 29827715772952729559, 160585197054792325920, 864576459169674091991, 4654912045433070623216, 25062704576949858418680, 134943295576492622876320, 726574945357782905758320, 3912138973826629312342482, 21064544764194364975097125, 113420920484379680449891134, 610712764795038672075783660, 3288388465364093568287357514, 17706435813570184664478591552, 95341237928274164742658245848, 513371516800437915523741989848, 2764291777645762845336261830144, 14884592355138397334347824576100, 80147652860341322897756949830474, 431564135729076180040602048542856, 2323809128133634504319500539408226, 12512844311921804806518958619679705, 67377056656551977929167717237198206, 362800914417102873678777891244150972, 1953552118539482023992817245333894338, 10519179796941522021929528606057885804, 56642050094013517957191432250715272430, 304997463131818331180215109590504406131, 1642304343091711111792213121854564039546, 8843235367227114091650591371116149596072, 47617746224799568766798799297994439587780, 256405053915329216687069336798815063898572, 1380652569238780139029843317419401691721630, 7434337912731598877774297769996177562217419, 40031350943128586559943057049047815986055756, 215555071409554090826617245299982802879108128, 1160690114233514078888845499093796715777363376, 6249918610790969299842969827075465153037479645, 33653672860088879469877401415949657314627587270, 181213522255377457000720387188447262810948921672, 975772911286772732267749022600005001117193314954, 5254204016267033683903436771143925160250276977688, 28292096007950962863284702727838128717807951208610, 152343289290174050230258966014077294913732075506669, 820316685944615117083406878821359461474699229669454, 4417125850305388487511554990084987609559771265818600, 23784718157885897927252422893091983825471449660432468, 128072608053530627915416151966861063966424529889944020, 689627393147018241329472646881988925571783676081506170, 3713408782239774855123493354815931469106700245932466245, 19995442573372135128768897413805483745820820305582801974, 107668654585060518188009811490074170012542537141141441636, 579759074218021225022337980802425683827472557355240798762, 3121805392622146142218448618778304609382180220633426950328, 16809860167236561889864834369237508540835276577804562893456, 90515379651295812371657709580889554425574600951932276476316, 487394535620466200336890880093808314019922088539153545127704, 2624453824113405116436883659835567540706640985828283655531528, 14131791381195616965373680088818939104665455253972387890966640, 76094891202302815807534473668183056925179078866520233403742336, 409745114764703010828966913838692634474013139979652749679335400, 2206338123049800527658521120099555605426668144184773456723122428, 11880380623693555545209204192350466591852287386142025935561948808, 63971810354561872830485196094661895848015312092562244050898331360, 344466448947490164193167011967242362450218294214895460067762172736, 1854834714408845790121049531483254934102702014604362080389887093536, 9987654332541531565178701975403876193562550466835207348499961799726, 53780123036415820430563648653819333442348329717324066101386539187047, 289587678916742024309246560458671885046423708669673567010462844100914, 1559331200821948091202505897217422808704451410830080939130375679103284, 8396468400563573910489681742649765515700387944119871536990012989041400, 45212127865172276026477930917291078877004005335874462591273884885754548, 243451938294932471488379883445075385874164633574422020418686920335029898

Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24382/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[26,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[4,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[1,x]+F[7,x]
F[11,x] = F[12,x]+F[7,x]
F[12,x] = F[13,x]+F[14,x]+F[21,x]
F[13,x] = 0
F[14,x] = F[15,x]*F[4,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]+F[7,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[4,x]
F[19,x] = F[20,x]
F[20,x] = F[7,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[20,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[7,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[29,x]+F[423,x]
F[29,x] = F[30,x]+F[6,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[406,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = 1/F[4,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = -F[45,x]+F[38,x]
F[38,x] = 1/F[4,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = -F[2,x]+F[41,x]
F[41,x] = -F[44,x]+F[42,x]
F[42,x] = 1/F[4,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = 1+x^2*F[44,x]^3+(-x^2+x)*F[44,x]^2
F[45,x] = F[46,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[52,x]+F[50,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[40,x]
F[52,x] = -F[93,x]+F[53,x]
F[53,x] = F[54,x]+F[91,x]
F[54,x] = F[10,x]*F[55,x]
F[55,x] = F[44,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[4,x]*F[58,x]*F[80,x]
F[58,x] = 1/F[79,x]*F[59,x]
F[59,x] = -F[68,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = x*(1+F[63,x])^2*(x*F[63,x]+1)
F[64,x] = -F[2,x]+F[65,x]
F[65,x] = -F[44,x]+F[66,x]
F[66,x] = 1/F[4,x]*F[67,x]
F[67,x] = F[2,x]
F[68,x] = -F[71,x]+F[69,x]
F[69,x] = 1/F[4,x]*F[70,x]
F[70,x] = F[64,x]
F[71,x] = F[58,x]*F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[4,x]*F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[1,x]+F[4,x]
F[76,x] = F[72,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[72,x]
F[79,x] = F[1,x]+F[72,x]
F[80,x] = 1/F[4,x]/F[83,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[44,x]+F[83,x]
F[83,x] = 1/F[0,x]*F[84,x]
F[84,x] = -F[87,x]+F[85,x]
F[85,x] = 1/F[4,x]*F[86,x]
F[86,x] = F[62,x]
F[87,x] = -F[90,x]+F[88,x]
F[88,x] = 1/F[4,x]*F[89,x]
F[89,x] = F[64,x]
F[90,x] = F[2,x]*F[83,x]
F[91,x] = -F[92,x]+F[50,x]
F[92,x] = F[55,x]*F[7,x]
F[93,x] = F[94,x]+F[97,x]
F[94,x] = F[0,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[4,x]*F[5,x]*F[58,x]
F[97,x] = F[98,x]+F[99,x]
F[98,x] = F[40,x]+F[63,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[4,x]
F[101,x] = F[102,x]+F[401,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[44,x]*F[63,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[4,x]*F[106,x]
F[106,x] = F[6,x]
F[107,x] = F[108,x]+F[399,x]
F[108,x] = F[109,x]+F[6,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[4,x]
F[111,x] = F[112,x]+F[117,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = 1/F[4,x]*F[115,x]
F[115,x] = F[116,x]
F[116,x] = -F[42,x]+F[104,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[4,x]
F[119,x] = F[120,x]+F[141,x]
F[120,x] = F[121,x]*F[44,x]
F[121,x] = F[122,x]+F[124,x]
F[122,x] = F[104,x]+F[123,x]
F[123,x] = F[116,x]
F[124,x] = F[125,x]+F[133,x]
F[125,x] = F[126,x]+F[82,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[4,x]*F[83,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[7,x]*F[80,x]
F[130,x] = F[131,x]*F[7,x]
F[131,x] = F[132,x]+F[80,x]
F[132,x] = F[4,x]*F[44,x]
F[133,x] = -F[139,x]+F[134,x]
F[134,x] = -F[137,x]+F[135,x]
F[135,x] = 1/F[4,x]*F[136,x]
F[136,x] = F[40,x]
F[137,x] = F[126,x]+F[138,x]
F[138,x] = F[44,x]*F[7,x]
F[139,x] = -F[140,x]+F[104,x]
F[140,x] = F[10,x]*F[44,x]
F[141,x] = F[142,x]*F[398,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[4,x]
F[144,x] = 1/F[356,x]/F[4,x]*F[145,x]
F[145,x] = F[146,x]
F[146,x] = -F[44,x]+F[147,x]
F[147,x] = F[10,x]+F[148,x]
F[148,x] = -F[344,x]+F[149,x]
F[149,x] = -F[152,x]+F[150,x]
F[150,x] = 1/F[4,x]*F[151,x]
F[151,x] = F[64,x]
F[152,x] = F[153,x]+F[201,x]
F[153,x] = F[154,x]+F[62,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[4,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[4,x]
F[158,x] = 1/F[4,x]*F[159,x]
F[159,x] = -F[180,x]+F[160,x]
F[160,x] = 1/F[4,x]*F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]+F[62,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[4,x]
F[165,x] = F[166,x]+F[167,x]
F[166,x] = F[60,x]*F[63,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]
F[169,x] = F[170,x]*F[4,x]*F[80,x]
F[170,x] = F[171,x]+F[173,x]
F[171,x] = F[168,x]+F[172,x]
F[172,x] = F[44,x]*F[66,x]
F[173,x] = -F[176,x]+F[174,x]
F[174,x] = 1/F[4,x]*F[175,x]
F[175,x] = F[64,x]
F[176,x] = F[177,x]+F[178,x]
F[177,x] = F[2,x]*F[44,x]
F[178,x] = F[179,x]
F[179,x] = F[4,x]*F[69,x]*F[80,x]
F[180,x] = -F[185,x]+F[181,x]
F[181,x] = 1/F[4,x]*F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]
F[184,x] = F[160,x]*F[4,x]
F[185,x] = F[186,x]+F[199,x]
F[186,x] = F[187,x]+F[188,x]
F[187,x] = F[4,x]*F[58,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]*F[4,x]
F[190,x] = F[191,x]+F[195,x]
F[191,x] = F[192,x]*F[4,x]
F[192,x] = 1/F[4,x]*F[193,x]
F[193,x] = F[194,x]
F[194,x] = -F[183,x]+F[69,x]
F[195,x] = F[196,x]
F[196,x] = F[197,x]*F[4,x]*F[58,x]
F[197,x] = 1/F[4,x]*F[198,x]
F[198,x] = F[62,x]
F[199,x] = F[200,x]
F[200,x] = F[183,x]*F[4,x]
F[201,x] = F[202,x]
F[202,x] = F[203,x]*F[4,x]
F[203,x] = F[204,x]+F[264,x]
F[204,x] = F[205,x]
F[205,x] = F[206,x]*F[4,x]
F[206,x] = F[207,x]+F[231,x]
F[207,x] = F[208,x]+F[215,x]
F[208,x] = 1/F[4,x]*F[209,x]
F[209,x] = F[210,x]
F[210,x] = -F[213,x]+F[211,x]
F[211,x] = 1/F[4,x]*F[212,x]
F[212,x] = F[163,x]
F[213,x] = F[214,x]
F[214,x] = F[170,x]*F[4,x]*F[44,x]
F[215,x] = 1/F[4,x]*F[216,x]
F[216,x] = F[217,x]
F[217,x] = F[218,x]
F[218,x] = F[156,x]*F[219,x]*F[4,x]
F[219,x] = 1/F[197,x]/F[4,x]*F[220,x]
F[220,x] = F[221,x]
F[221,x] = -F[224,x]+F[222,x]
F[222,x] = 1/F[4,x]*F[223,x]
F[223,x] = F[149,x]
F[224,x] = -F[227,x]+F[225,x]
F[225,x] = 1/F[4,x]*F[226,x]
F[226,x] = F[176,x]
F[227,x] = F[228,x]
F[228,x] = F[229,x]*F[4,x]*F[80,x]
F[229,x] = 1/F[4,x]*F[230,x]
F[230,x] = F[152,x]
F[231,x] = F[232,x]
F[232,x] = 1/F[4,x]*F[233,x]
F[233,x] = F[234,x]
F[234,x] = -F[262,x]+F[235,x]
F[235,x] = F[236,x]
F[236,x] = -F[257,x]+F[237,x]
F[237,x] = 1/F[4,x]*F[238,x]
F[238,x] = F[239,x]
F[239,x] = -F[154,x]+F[240,x]
F[240,x] = F[241,x]
F[241,x] = F[242,x]*F[4,x]
F[242,x] = F[243,x]+F[247,x]
F[243,x] = F[244,x]
F[244,x] = F[144,x]*F[245,x]*F[4,x]
F[245,x] = F[246,x]+F[85,x]
F[246,x] = F[62,x]*F[83,x]
F[247,x] = F[248,x]
F[248,x] = F[249,x]*F[4,x]
F[249,x] = F[250,x]+F[255,x]
F[250,x] = F[251,x]
F[251,x] = F[252,x]*F[44,x]
F[252,x] = 1/F[4,x]*F[253,x]
F[253,x] = F[254,x]
F[254,x] = F[144,x]*F[156,x]*F[4,x]
F[255,x] = F[256,x]
F[256,x] = F[242,x]*F[80,x]
F[257,x] = F[217,x]+F[258,x]
F[258,x] = F[259,x]
F[259,x] = F[260,x]*F[4,x]*F[44,x]
F[260,x] = 1/F[4,x]*F[261,x]
F[261,x] = F[254,x]
F[262,x] = F[263,x]
F[263,x] = F[242,x]*F[4,x]*F[80,x]
F[264,x] = F[265,x]
F[265,x] = F[266,x]*F[4,x]
F[266,x] = F[267,x]+F[342,x]
F[267,x] = F[268,x]*F[44,x]
F[268,x] = F[269,x]+F[312,x]
F[269,x] = -F[310,x]+F[270,x]
F[270,x] = 1/F[4,x]*F[271,x]
F[271,x] = F[272,x]
F[272,x] = F[273,x]
F[273,x] = F[274,x]*F[4,x]
F[274,x] = 1/F[4,x]/F[44,x]*F[275,x]
F[275,x] = F[276,x]
F[276,x] = F[277,x]*F[4,x]
F[277,x] = F[278,x]+F[294,x]
F[278,x] = F[279,x]*F[44,x]
F[279,x] = -F[242,x]+F[280,x]
F[280,x] = 1/F[4,x]*F[281,x]
F[281,x] = F[282,x]
F[282,x] = F[152,x]+F[283,x]
F[283,x] = F[284,x]
F[284,x] = -F[293,x]+F[285,x]
F[285,x] = F[286,x]
F[286,x] = F[287,x]*F[4,x]
F[287,x] = F[288,x]+F[290,x]
F[288,x] = F[144,x]*F[289,x]
F[289,x] = F[156,x]+F[197,x]
F[290,x] = F[291,x]*F[44,x]
F[291,x] = 1/F[4,x]*F[292,x]
F[292,x] = F[154,x]
F[293,x] = F[153,x]*F[44,x]
F[294,x] = F[295,x]*F[298,x]
F[295,x] = -F[242,x]+F[296,x]
F[296,x] = 1/F[4,x]*F[297,x]
F[297,x] = F[87,x]
F[298,x] = 1/F[7,x]*F[299,x]
F[299,x] = -F[307,x]+F[300,x]
F[300,x] = F[301,x]
F[301,x] = -F[305,x]+F[302,x]
F[302,x] = 1/F[4,x]/F[58,x]*F[303,x]
F[303,x] = F[304,x]
F[304,x] = -F[139,x]+F[91,x]
F[305,x] = 1/F[4,x]/F[83,x]*F[306,x]
F[306,x] = F[133,x]
F[307,x] = F[308,x]*F[44,x]
F[308,x] = F[309,x]+F[7,x]
F[309,x] = F[4,x]*F[7,x]
F[310,x] = F[311,x]
F[311,x] = F[158,x]*F[4,x]*F[44,x]
F[312,x] = 1/F[4,x]*F[313,x]
F[313,x] = F[314,x]
F[314,x] = -F[331,x]+F[315,x]
F[315,x] = F[316,x]+F[325,x]
F[316,x] = F[317,x]+F[324,x]
F[317,x] = F[318,x]
F[318,x] = F[319,x]*F[4,x]
F[319,x] = F[279,x]+F[320,x]
F[320,x] = F[321,x]
F[321,x] = F[322,x]*F[44,x]
F[322,x] = F[323,x]
F[323,x] = F[245,x]*F[4,x]
F[324,x] = F[240,x]
F[325,x] = F[326,x]
F[326,x] = F[327,x]*F[4,x]
F[327,x] = F[328,x]+F[334,x]
F[328,x] = 1/F[4,x]*F[329,x]
F[329,x] = F[330,x]
F[330,x] = -F[317,x]+F[331,x]
F[331,x] = F[272,x]+F[332,x]
F[332,x] = F[333,x]
F[333,x] = F[154,x]*F[44,x]
F[334,x] = 1/F[44,x]*F[335,x]
F[335,x] = -F[338,x]+F[336,x]
F[336,x] = 1/F[4,x]*F[337,x]
F[337,x] = F[247,x]
F[338,x] = F[339,x]+F[340,x]
F[339,x] = F[251,x]
F[340,x] = F[341,x]
F[341,x] = F[242,x]*F[44,x]
F[342,x] = F[343,x]
F[343,x] = F[260,x]*F[44,x]
F[344,x] = F[345,x]+F[346,x]
F[345,x] = F[2,x]*F[63,x]
F[346,x] = F[347,x]
F[347,x] = F[348,x]*F[353,x]*F[4,x]
F[348,x] = 1/F[4,x]*F[349,x]
F[349,x] = F[350,x]
F[350,x] = -F[7,x]+F[351,x]
F[351,x] = F[352,x]
F[352,x] = F[197,x]*F[4,x]
F[353,x] = F[354,x]+F[63,x]
F[354,x] = F[355,x]
F[355,x] = -F[44,x]+F[144,x]
F[356,x] = F[357,x]+F[79,x]
F[357,x] = F[358,x]+F[365,x]
F[358,x] = F[359,x]
F[359,x] = F[360,x]*F[4,x]
F[360,x] = F[361,x]+F[362,x]
F[361,x] = F[1,x]+F[358,x]
F[362,x] = F[363,x]+F[4,x]
F[363,x] = F[364,x]
F[364,x] = F[358,x]*F[4,x]
F[365,x] = F[13,x]+F[366,x]+F[382,x]
F[366,x] = F[367,x]*F[4,x]
F[367,x] = F[368,x]+F[369,x]
F[368,x] = F[365,x]+F[72,x]
F[369,x] = F[370,x]+F[376,x]
F[370,x] = F[13,x]+F[371,x]+F[372,x]
F[371,x] = F[4,x]*F[72,x]
F[372,x] = F[373,x]*F[4,x]
F[373,x] = F[374,x]+F[375,x]
F[374,x] = F[4,x]
F[375,x] = F[371,x]
F[376,x] = 2*F[13,x]+F[377,x]+F[378,x]
F[377,x] = F[365,x]*F[4,x]
F[378,x] = F[379,x]*F[4,x]
F[379,x] = F[380,x]+F[381,x]
F[380,x] = F[363,x]
F[381,x] = F[377,x]
F[382,x] = F[383,x]*F[4,x]
F[383,x] = F[384,x]+F[391,x]
F[384,x] = F[358,x]+F[385,x]
F[385,x] = F[13,x]+F[386,x]+F[390,x]
F[386,x] = F[387,x]*F[4,x]
F[387,x] = F[388,x]
F[388,x] = F[389,x]+F[4,x]
F[389,x] = F[390,x]
F[390,x] = F[358,x]*F[4,x]
F[391,x] = F[365,x]+F[392,x]
F[392,x] = 2*F[13,x]+F[393,x]+F[397,x]
F[393,x] = F[394,x]*F[4,x]
F[394,x] = F[395,x]
F[395,x] = F[396,x]+F[77,x]
F[396,x] = F[397,x]
F[397,x] = F[365,x]*F[4,x]
F[398,x] = F[104,x]+F[124,x]
F[399,x] = F[400,x]
F[400,x] = F[108,x]*F[4,x]*F[58,x]
F[401,x] = F[402,x]
F[402,x] = F[4,x]*F[403,x]*F[58,x]
F[403,x] = 1/F[4,x]*F[404,x]
F[404,x] = F[405,x]
F[405,x] = -F[5,x]+F[104,x]
F[406,x] = F[407,x]
F[407,x] = F[4,x]*F[408,x]
F[408,x] = F[409,x]+F[415,x]
F[409,x] = F[410,x]*F[83,x]
F[410,x] = F[411,x]+F[413,x]
F[411,x] = 1/F[4,x]/F[83,x]*F[412,x]
F[412,x] = F[124,x]
F[413,x] = F[414,x]
F[414,x] = F[4,x]*F[410,x]*F[80,x]
F[415,x] = F[416,x]*F[420,x]
F[416,x] = F[417,x]
F[417,x] = F[4,x]*F[418,x]
F[418,x] = 1/F[4,x]*F[419,x]
F[419,x] = F[354,x]
F[420,x] = F[398,x]+F[421,x]
F[421,x] = F[422,x]
F[422,x] = F[398,x]*F[4,x]*F[44,x]
F[423,x] = F[424,x]
F[424,x] = F[4,x]*F[425,x]
F[425,x] = 1/F[4,x]*F[426,x]
F[426,x] = F[427,x]
F[427,x] = -F[9,x]+F[428,x]
F[428,x] = F[108,x]+F[5,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{26}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{13}\! \left(x \right) = 0
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{7}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{7}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{20}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{7}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{423}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{406}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = x^{2} F_{44} \left(x \right)^{3}-x^{2} F_{44} \left(x \right)^{2}+x F_{44} \left(x \right)^{2}+1
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{40}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{91}\! \left(x \right)
F_{54}\! \left(x \right) = F_{10}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{44}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right) F_{80}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{79}\! \left(x \right)}
F_{59}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = x^{2} F_{63} \left(x \right)^{3}+2 x^{2} F_{63} \left(x \right)^{2}+x^{2} F_{63}\! \left(x \right)+x F_{63} \left(x \right)^{2}+2 x F_{63}\! \left(x \right)+x
F_{64}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{2}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{64}\! \left(x \right)
F_{71}\! \left(x \right) = F_{58}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{76}\! \left(x \right) = F_{72}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{79}\! \left(x \right) = F_{1}\! \left(x \right)+F_{72}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{4}\! \left(x \right) F_{83}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{84}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{62}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{90}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{64}\! \left(x \right)
F_{90}\! \left(x \right) = F_{2}\! \left(x \right) F_{83}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{92}\! \left(x \right)+F_{50}\! \left(x \right)
F_{92}\! \left(x \right) = F_{55}\! \left(x \right) F_{7}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{97}\! \left(x \right)
F_{94}\! \left(x \right) = F_{0}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right) F_{58}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{40}\! \left(x \right)+F_{63}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{4}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{401}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{44}\! \left(x \right) F_{63}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{6}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{399}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{6}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{117}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{104}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{4}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{141}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{44}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{124}\! \left(x \right)
F_{122}\! \left(x \right) = F_{104}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{116}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{133}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{82}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{7}\! \left(x \right) F_{80}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{7}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{80}\! \left(x \right)
F_{132}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{40}\! \left(x \right)
F_{137}\! \left(x \right) = F_{126}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{44}\! \left(x \right) F_{7}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{104}\! \left(x \right)
F_{140}\! \left(x \right) = F_{10}\! \left(x \right) F_{44}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{398}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{4}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{145}\! \left(x \right)}{F_{356}\! \left(x \right) F_{4}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{10}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{344}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = -F_{152}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{151}\! \left(x \right) = F_{64}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{201}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{62}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{4}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{159}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{62}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{167}\! \left(x \right)
F_{166}\! \left(x \right) = F_{60}\! \left(x \right) F_{63}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{173}\! \left(x \right)
F_{171}\! \left(x \right) = F_{168}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{44}\! \left(x \right) F_{66}\! \left(x \right)
F_{173}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{175}\! \left(x \right) = F_{64}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{178}\! \left(x \right)
F_{177}\! \left(x \right) = F_{2}\! \left(x \right) F_{44}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right) F_{80}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = \frac{F_{182}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{160}\! \left(x \right) F_{4}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{199}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{188}\! \left(x \right)
F_{187}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{195}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = \frac{F_{193}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{69}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{197}\! \left(x \right) = \frac{F_{198}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{198}\! \left(x \right) = F_{62}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{183}\! \left(x \right) F_{4}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{4}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{264}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{4}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{231}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{215}\! \left(x \right)
F_{208}\! \left(x \right) = \frac{F_{209}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = \frac{F_{212}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{212}\! \left(x \right) = F_{163}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{215}\! \left(x \right) = \frac{F_{216}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{156}\! \left(x \right) F_{219}\! \left(x \right) F_{4}\! \left(x \right)
F_{219}\! \left(x \right) = \frac{F_{220}\! \left(x \right)}{F_{197}\! \left(x \right) F_{4}\! \left(x \right)}
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = \frac{F_{223}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{223}\! \left(x \right) = F_{149}\! \left(x \right)
F_{224}\! \left(x \right) = -F_{227}\! \left(x \right)+F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{226}\! \left(x \right) = F_{176}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right) F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{152}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = \frac{F_{233}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = -F_{262}\! \left(x \right)+F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = \frac{F_{238}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right) F_{4}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{247}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{144}\! \left(x \right) F_{245}\! \left(x \right) F_{4}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{85}\! \left(x \right)
F_{246}\! \left(x \right) = F_{62}\! \left(x \right) F_{83}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right) F_{4}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{255}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{44}\! \left(x \right)
F_{252}\! \left(x \right) = \frac{F_{253}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{144}\! \left(x \right) F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{242}\! \left(x \right) F_{80}\! \left(x \right)
F_{257}\! \left(x \right) = F_{217}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right) F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{260}\! \left(x \right) = \frac{F_{261}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{261}\! \left(x \right) = F_{254}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{242}\! \left(x \right) F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{4}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{342}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right) F_{44}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{312}\! \left(x \right)
F_{269}\! \left(x \right) = -F_{310}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right) F_{4}\! \left(x \right)
F_{274}\! \left(x \right) = \frac{F_{275}\! \left(x \right)}{F_{4}\! \left(x \right) F_{44}\! \left(x \right)}
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right) F_{4}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{294}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right) F_{44}\! \left(x \right)
F_{279}\! \left(x \right) = -F_{242}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = \frac{F_{281}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{152}\! \left(x \right)+F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right) F_{4}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{290}\! \left(x \right)
F_{288}\! \left(x \right) = F_{144}\! \left(x \right) F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{156}\! \left(x \right)+F_{197}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right) F_{44}\! \left(x \right)
F_{291}\! \left(x \right) = \frac{F_{292}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{292}\! \left(x \right) = F_{154}\! \left(x \right)
F_{293}\! \left(x \right) = F_{153}\! \left(x \right) F_{44}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right) F_{298}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{242}\! \left(x \right)+F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = \frac{F_{297}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{297}\! \left(x \right) = F_{87}\! \left(x \right)
F_{298}\! \left(x \right) = \frac{F_{299}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{299}\! \left(x \right) = -F_{307}\! \left(x \right)+F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = -F_{305}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = \frac{F_{303}\! \left(x \right)}{F_{4}\! \left(x \right) F_{58}\! \left(x \right)}
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{91}\! \left(x \right)
F_{305}\! \left(x \right) = \frac{F_{306}\! \left(x \right)}{F_{4}\! \left(x \right) F_{83}\! \left(x \right)}
F_{306}\! \left(x \right) = F_{133}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right) F_{44}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{7}\! \left(x \right)
F_{309}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{158}\! \left(x \right) F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{312}\! \left(x \right) = \frac{F_{313}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)+F_{325}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{324}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right) F_{4}\! \left(x \right)
F_{319}\! \left(x \right) = F_{279}\! \left(x \right)+F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right) F_{44}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{245}\! \left(x \right) F_{4}\! \left(x \right)
F_{324}\! \left(x \right) = F_{240}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right) F_{4}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)+F_{334}\! \left(x \right)
F_{328}\! \left(x \right) = \frac{F_{329}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = -F_{317}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{272}\! \left(x \right)+F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{154}\! \left(x \right) F_{44}\! \left(x \right)
F_{334}\! \left(x \right) = \frac{F_{335}\! \left(x \right)}{F_{44}\! \left(x \right)}
F_{335}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = \frac{F_{337}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{337}\! \left(x \right) = F_{247}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{340}\! \left(x \right)
F_{339}\! \left(x \right) = F_{251}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{242}\! \left(x \right) F_{44}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{260}\! \left(x \right) F_{44}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{346}\! \left(x \right)
F_{345}\! \left(x \right) = F_{2}\! \left(x \right) F_{63}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right) F_{353}\! \left(x \right) F_{4}\! \left(x \right)
F_{348}\! \left(x \right) = \frac{F_{349}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = -F_{7}\! \left(x \right)+F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{197}\! \left(x \right) F_{4}\! \left(x \right)
F_{353}\! \left(x \right) = F_{354}\! \left(x \right)+F_{63}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{144}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)+F_{79}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{365}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{360}\! \left(x \right) F_{4}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{362}\! \left(x \right)
F_{361}\! \left(x \right) = F_{1}\! \left(x \right)+F_{358}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right)+F_{4}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{358}\! \left(x \right) F_{4}\! \left(x \right)
F_{365}\! \left(x \right) = F_{13}\! \left(x \right)+F_{366}\! \left(x \right)+F_{382}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right) F_{4}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)+F_{369}\! \left(x \right)
F_{368}\! \left(x \right) = F_{365}\! \left(x \right)+F_{72}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{376}\! \left(x \right)
F_{370}\! \left(x \right) = F_{13}\! \left(x \right)+F_{371}\! \left(x \right)+F_{372}\! \left(x \right)
F_{371}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right) F_{4}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{375}\! \left(x \right)
F_{374}\! \left(x \right) = F_{4}\! \left(x \right)
F_{375}\! \left(x \right) = F_{371}\! \left(x \right)
F_{376}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{377}\! \left(x \right)+F_{378}\! \left(x \right)
F_{377}\! \left(x \right) = F_{365}\! \left(x \right) F_{4}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right) F_{4}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{381}\! \left(x \right)
F_{380}\! \left(x \right) = F_{363}\! \left(x \right)
F_{381}\! \left(x \right) = F_{377}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right) F_{4}\! \left(x \right)
F_{383}\! \left(x \right) = F_{384}\! \left(x \right)+F_{391}\! \left(x \right)
F_{384}\! \left(x \right) = F_{358}\! \left(x \right)+F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{13}\! \left(x \right)+F_{386}\! \left(x \right)+F_{390}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right) F_{4}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)+F_{4}\! \left(x \right)
F_{389}\! \left(x \right) = F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{358}\! \left(x \right) F_{4}\! \left(x \right)
F_{391}\! \left(x \right) = F_{365}\! \left(x \right)+F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{393}\! \left(x \right)+F_{397}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right) F_{4}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{77}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{365}\! \left(x \right) F_{4}\! \left(x \right)
F_{398}\! \left(x \right) = F_{104}\! \left(x \right)+F_{124}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{108}\! \left(x \right) F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{4}\! \left(x \right) F_{403}\! \left(x \right) F_{58}\! \left(x \right)
F_{403}\! \left(x \right) = \frac{F_{404}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)
F_{405}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{104}\! \left(x \right)
F_{406}\! \left(x \right) = F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{4}\! \left(x \right) F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)+F_{415}\! \left(x \right)
F_{409}\! \left(x \right) = F_{410}\! \left(x \right) F_{83}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{413}\! \left(x \right)
F_{411}\! \left(x \right) = \frac{F_{412}\! \left(x \right)}{F_{4}\! \left(x \right) F_{83}\! \left(x \right)}
F_{412}\! \left(x \right) = F_{124}\! \left(x \right)
F_{413}\! \left(x \right) = F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{4}\! \left(x \right) F_{410}\! \left(x \right) F_{80}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right) F_{420}\! \left(x \right)
F_{416}\! \left(x \right) = F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = F_{4}\! \left(x \right) F_{418}\! \left(x \right)
F_{418}\! \left(x \right) = \frac{F_{419}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{419}\! \left(x \right) = F_{354}\! \left(x \right)
F_{420}\! \left(x \right) = F_{398}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{398}\! \left(x \right) F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = F_{4}\! \left(x \right) F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = \frac{F_{426}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{426}\! \left(x \right) = F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{428}\! \left(x \right)
F_{428}\! \left(x \right) = F_{108}\! \left(x \right)+F_{5}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_26(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_4(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_1(x) + F_7(x))
Eq(F_11(x), F_12(x) + F_7(x))
Eq(F_12(x), F_13(x) + F_14(x) + F_21(x))
Eq(F_13(x), 0)
Eq(F_14(x), F_15(x)*F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x) + F_7(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_7(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_20(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_7(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_29(x) + F_423(x))
Eq(F_29(x), F_30(x) + F_6(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_406(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x)/F_4(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x) - F_45(x))
Eq(F_38(x), F_39(x)/F_4(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), -F_2(x) + F_41(x))
Eq(F_41(x), F_42(x) - F_44(x))
Eq(F_42(x), F_43(x)/F_4(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), x**2*F_44(x)**3 - x*(x - 1)*F_44(x)**2 + 1)
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_50(x) - F_52(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_40(x))
Eq(F_52(x), F_53(x) - F_93(x))
Eq(F_53(x), F_54(x) + F_91(x))
Eq(F_54(x), F_10(x)*F_55(x))
Eq(F_55(x), F_44(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_4(x)*F_58(x)*F_80(x))
Eq(F_58(x), F_59(x)/F_79(x))
Eq(F_59(x), F_60(x) - F_68(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), x**2*(F_63(x) + 1)**3 - x*(x - 1)*(F_63(x) + 1)**2)
Eq(F_64(x), -F_2(x) + F_65(x))
Eq(F_65(x), -F_44(x) + F_66(x))
Eq(F_66(x), F_67(x)/F_4(x))
Eq(F_67(x), F_2(x))
Eq(F_68(x), F_69(x) - F_71(x))
Eq(F_69(x), F_70(x)/F_4(x))
Eq(F_70(x), F_64(x))
Eq(F_71(x), F_58(x)*F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_4(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_1(x) + F_4(x))
Eq(F_76(x), F_72(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_72(x))
Eq(F_79(x), F_1(x) + F_72(x))
Eq(F_80(x), F_81(x)/(F_4(x)*F_83(x)))
Eq(F_81(x), F_82(x))
Eq(F_82(x), -F_44(x) + F_83(x))
Eq(F_83(x), F_84(x)/F_0(x))
Eq(F_84(x), F_85(x) - F_87(x))
Eq(F_85(x), F_86(x)/F_4(x))
Eq(F_86(x), F_62(x))
Eq(F_87(x), F_88(x) - F_90(x))
Eq(F_88(x), F_89(x)/F_4(x))
Eq(F_89(x), F_64(x))
Eq(F_90(x), F_2(x)*F_83(x))
Eq(F_91(x), F_50(x) - F_92(x))
Eq(F_92(x), F_55(x)*F_7(x))
Eq(F_93(x), F_94(x) + F_97(x))
Eq(F_94(x), F_0(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_4(x)*F_5(x)*F_58(x))
Eq(F_97(x), F_98(x) + F_99(x))
Eq(F_98(x), F_40(x) + F_63(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_4(x))
Eq(F_101(x), F_102(x) + F_401(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_44(x)*F_63(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_4(x))
Eq(F_106(x), F_6(x))
Eq(F_107(x), F_108(x) + F_399(x))
Eq(F_108(x), F_109(x) + F_6(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_4(x))
Eq(F_111(x), F_112(x) + F_117(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x)/F_4(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_104(x) - F_42(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_4(x))
Eq(F_119(x), F_120(x) + F_141(x))
Eq(F_120(x), F_121(x)*F_44(x))
Eq(F_121(x), F_122(x) + F_124(x))
Eq(F_122(x), F_104(x) + F_123(x))
Eq(F_123(x), F_116(x))
Eq(F_124(x), F_125(x) + F_133(x))
Eq(F_125(x), F_126(x) + F_82(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_4(x)*F_83(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_7(x)*F_80(x))
Eq(F_130(x), F_131(x)*F_7(x))
Eq(F_131(x), F_132(x) + F_80(x))
Eq(F_132(x), F_4(x)*F_44(x))
Eq(F_133(x), F_134(x) - F_139(x))
Eq(F_134(x), F_135(x) - F_137(x))
Eq(F_135(x), F_136(x)/F_4(x))
Eq(F_136(x), F_40(x))
Eq(F_137(x), F_126(x) + F_138(x))
Eq(F_138(x), F_44(x)*F_7(x))
Eq(F_139(x), F_104(x) - F_140(x))
Eq(F_140(x), F_10(x)*F_44(x))
Eq(F_141(x), F_142(x)*F_398(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_4(x))
Eq(F_144(x), F_145(x)/(F_356(x)*F_4(x)))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x) - F_44(x))
Eq(F_147(x), F_10(x) + F_148(x))
Eq(F_148(x), F_149(x) - F_344(x))
Eq(F_149(x), F_150(x) - F_152(x))
Eq(F_150(x), F_151(x)/F_4(x))
Eq(F_151(x), F_64(x))
Eq(F_152(x), F_153(x) + F_201(x))
Eq(F_153(x), F_154(x) + F_62(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_4(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_4(x))
Eq(F_158(x), F_159(x)/F_4(x))
Eq(F_159(x), F_160(x) - F_180(x))
Eq(F_160(x), F_161(x)/F_4(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x) + F_62(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_4(x))
Eq(F_165(x), F_166(x) + F_167(x))
Eq(F_166(x), F_60(x)*F_63(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x)*F_4(x)*F_80(x))
Eq(F_170(x), F_171(x) + F_173(x))
Eq(F_171(x), F_168(x) + F_172(x))
Eq(F_172(x), F_44(x)*F_66(x))
Eq(F_173(x), F_174(x) - F_176(x))
Eq(F_174(x), F_175(x)/F_4(x))
Eq(F_175(x), F_64(x))
Eq(F_176(x), F_177(x) + F_178(x))
Eq(F_177(x), F_2(x)*F_44(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_4(x)*F_69(x)*F_80(x))
Eq(F_180(x), F_181(x) - F_185(x))
Eq(F_181(x), F_182(x)/F_4(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_160(x)*F_4(x))
Eq(F_185(x), F_186(x) + F_199(x))
Eq(F_186(x), F_187(x) + F_188(x))
Eq(F_187(x), F_4(x)*F_58(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x)*F_4(x))
Eq(F_190(x), F_191(x) + F_195(x))
Eq(F_191(x), F_192(x)*F_4(x))
Eq(F_192(x), F_193(x)/F_4(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), -F_183(x) + F_69(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_197(x)*F_4(x)*F_58(x))
Eq(F_197(x), F_198(x)/F_4(x))
Eq(F_198(x), F_62(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_183(x)*F_4(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x)*F_4(x))
Eq(F_203(x), F_204(x) + F_264(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_206(x)*F_4(x))
Eq(F_206(x), F_207(x) + F_231(x))
Eq(F_207(x), F_208(x) + F_215(x))
Eq(F_208(x), F_209(x)/F_4(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_211(x) - F_213(x))
Eq(F_211(x), F_212(x)/F_4(x))
Eq(F_212(x), F_163(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_170(x)*F_4(x)*F_44(x))
Eq(F_215(x), F_216(x)/F_4(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_156(x)*F_219(x)*F_4(x))
Eq(F_219(x), F_220(x)/(F_197(x)*F_4(x)))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_222(x) - F_224(x))
Eq(F_222(x), F_223(x)/F_4(x))
Eq(F_223(x), F_149(x))
Eq(F_224(x), F_225(x) - F_227(x))
Eq(F_225(x), F_226(x)/F_4(x))
Eq(F_226(x), F_176(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x)*F_4(x)*F_80(x))
Eq(F_229(x), F_230(x)/F_4(x))
Eq(F_230(x), F_152(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x)/F_4(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_235(x) - F_262(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_237(x) - F_257(x))
Eq(F_237(x), F_238(x)/F_4(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), -F_154(x) + F_240(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_242(x)*F_4(x))
Eq(F_242(x), F_243(x) + F_247(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_144(x)*F_245(x)*F_4(x))
Eq(F_245(x), F_246(x) + F_85(x))
Eq(F_246(x), F_62(x)*F_83(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_249(x)*F_4(x))
Eq(F_249(x), F_250(x) + F_255(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_252(x)*F_44(x))
Eq(F_252(x), F_253(x)/F_4(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_144(x)*F_156(x)*F_4(x))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_242(x)*F_80(x))
Eq(F_257(x), F_217(x) + F_258(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_260(x)*F_4(x)*F_44(x))
Eq(F_260(x), F_261(x)/F_4(x))
Eq(F_261(x), F_254(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_242(x)*F_4(x)*F_80(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x)*F_4(x))
Eq(F_266(x), F_267(x) + F_342(x))
Eq(F_267(x), F_268(x)*F_44(x))
Eq(F_268(x), F_269(x) + F_312(x))
Eq(F_269(x), F_270(x) - F_310(x))
Eq(F_270(x), F_271(x)/F_4(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_274(x)*F_4(x))
Eq(F_274(x), F_275(x)/(F_4(x)*F_44(x)))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_277(x)*F_4(x))
Eq(F_277(x), F_278(x) + F_294(x))
Eq(F_278(x), F_279(x)*F_44(x))
Eq(F_279(x), -F_242(x) + F_280(x))
Eq(F_280(x), F_281(x)/F_4(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_152(x) + F_283(x))
Eq(F_283(x), F_284(x))
Eq(F_284(x), F_285(x) - F_293(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_287(x)*F_4(x))
Eq(F_287(x), F_288(x) + F_290(x))
Eq(F_288(x), F_144(x)*F_289(x))
Eq(F_289(x), F_156(x) + F_197(x))
Eq(F_290(x), F_291(x)*F_44(x))
Eq(F_291(x), F_292(x)/F_4(x))
Eq(F_292(x), F_154(x))
Eq(F_293(x), F_153(x)*F_44(x))
Eq(F_294(x), F_295(x)*F_298(x))
Eq(F_295(x), -F_242(x) + F_296(x))
Eq(F_296(x), F_297(x)/F_4(x))
Eq(F_297(x), F_87(x))
Eq(F_298(x), F_299(x)/F_7(x))
Eq(F_299(x), F_300(x) - F_307(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_302(x) - F_305(x))
Eq(F_302(x), F_303(x)/(F_4(x)*F_58(x)))
Eq(F_303(x), F_304(x))
Eq(F_304(x), -F_139(x) + F_91(x))
Eq(F_305(x), F_306(x)/(F_4(x)*F_83(x)))
Eq(F_306(x), F_133(x))
Eq(F_307(x), F_308(x)*F_44(x))
Eq(F_308(x), F_309(x) + F_7(x))
Eq(F_309(x), F_4(x)*F_7(x))
Eq(F_310(x), F_311(x))
Eq(F_311(x), F_158(x)*F_4(x)*F_44(x))
Eq(F_312(x), F_313(x)/F_4(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_315(x) - F_331(x))
Eq(F_315(x), F_316(x) + F_325(x))
Eq(F_316(x), F_317(x) + F_324(x))
Eq(F_317(x), F_318(x))
Eq(F_318(x), F_319(x)*F_4(x))
Eq(F_319(x), F_279(x) + F_320(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_322(x)*F_44(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_245(x)*F_4(x))
Eq(F_324(x), F_240(x))
Eq(F_325(x), F_326(x))
Eq(F_326(x), F_327(x)*F_4(x))
Eq(F_327(x), F_328(x) + F_334(x))
Eq(F_328(x), F_329(x)/F_4(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), -F_317(x) + F_331(x))
Eq(F_331(x), F_272(x) + F_332(x))
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_154(x)*F_44(x))
Eq(F_334(x), F_335(x)/F_44(x))
Eq(F_335(x), F_336(x) - F_338(x))
Eq(F_336(x), F_337(x)/F_4(x))
Eq(F_337(x), F_247(x))
Eq(F_338(x), F_339(x) + F_340(x))
Eq(F_339(x), F_251(x))
Eq(F_340(x), F_341(x))
Eq(F_341(x), F_242(x)*F_44(x))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_260(x)*F_44(x))
Eq(F_344(x), F_345(x) + F_346(x))
Eq(F_345(x), F_2(x)*F_63(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), F_348(x)*F_353(x)*F_4(x))
Eq(F_348(x), F_349(x)/F_4(x))
Eq(F_349(x), F_350(x))
Eq(F_350(x), F_351(x) - F_7(x))
Eq(F_351(x), F_352(x))
Eq(F_352(x), F_197(x)*F_4(x))
Eq(F_353(x), F_354(x) + F_63(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_144(x) - F_44(x))
Eq(F_356(x), F_357(x) + F_79(x))
Eq(F_357(x), F_358(x) + F_365(x))
Eq(F_358(x), F_359(x))
Eq(F_359(x), F_360(x)*F_4(x))
Eq(F_360(x), F_361(x) + F_362(x))
Eq(F_361(x), F_1(x) + F_358(x))
Eq(F_362(x), F_363(x) + F_4(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), F_358(x)*F_4(x))
Eq(F_365(x), F_13(x) + F_366(x) + F_382(x))
Eq(F_366(x), F_367(x)*F_4(x))
Eq(F_367(x), F_368(x) + F_369(x))
Eq(F_368(x), F_365(x) + F_72(x))
Eq(F_369(x), F_370(x) + F_376(x))
Eq(F_370(x), F_13(x) + F_371(x) + F_372(x))
Eq(F_371(x), F_4(x)*F_72(x))
Eq(F_372(x), F_373(x)*F_4(x))
Eq(F_373(x), F_374(x) + F_375(x))
Eq(F_374(x), F_4(x))
Eq(F_375(x), F_371(x))
Eq(F_376(x), 2*F_13(x) + F_377(x) + F_378(x))
Eq(F_377(x), F_365(x)*F_4(x))
Eq(F_378(x), F_379(x)*F_4(x))
Eq(F_379(x), F_380(x) + F_381(x))
Eq(F_380(x), F_363(x))
Eq(F_381(x), F_377(x))
Eq(F_382(x), F_383(x)*F_4(x))
Eq(F_383(x), F_384(x) + F_391(x))
Eq(F_384(x), F_358(x) + F_385(x))
Eq(F_385(x), F_13(x) + F_386(x) + F_390(x))
Eq(F_386(x), F_387(x)*F_4(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_389(x) + F_4(x))
Eq(F_389(x), F_390(x))
Eq(F_390(x), F_358(x)*F_4(x))
Eq(F_391(x), F_365(x) + F_392(x))
Eq(F_392(x), 2*F_13(x) + F_393(x) + F_397(x))
Eq(F_393(x), F_394(x)*F_4(x))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x) + F_77(x))
Eq(F_396(x), F_397(x))
Eq(F_397(x), F_365(x)*F_4(x))
Eq(F_398(x), F_104(x) + F_124(x))
Eq(F_399(x), F_400(x))
Eq(F_400(x), F_108(x)*F_4(x)*F_58(x))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_4(x)*F_403(x)*F_58(x))
Eq(F_403(x), F_404(x)/F_4(x))
Eq(F_404(x), F_405(x))
Eq(F_405(x), F_104(x) - F_5(x))
Eq(F_406(x), F_407(x))
Eq(F_407(x), F_4(x)*F_408(x))
Eq(F_408(x), F_409(x) + F_415(x))
Eq(F_409(x), F_410(x)*F_83(x))
Eq(F_410(x), F_411(x) + F_413(x))
Eq(F_411(x), F_412(x)/(F_4(x)*F_83(x)))
Eq(F_412(x), F_124(x))
Eq(F_413(x), F_414(x))
Eq(F_414(x), F_4(x)*F_410(x)*F_80(x))
Eq(F_415(x), F_416(x)*F_420(x))
Eq(F_416(x), F_417(x))
Eq(F_417(x), F_4(x)*F_418(x))
Eq(F_418(x), F_419(x)/F_4(x))
Eq(F_419(x), F_354(x))
Eq(F_420(x), F_398(x) + F_421(x))
Eq(F_421(x), F_422(x))
Eq(F_422(x), F_398(x)*F_4(x)*F_44(x))
Eq(F_423(x), F_424(x))
Eq(F_424(x), F_4(x)*F_425(x))
Eq(F_425(x), F_426(x)/F_4(x))
Eq(F_426(x), F_427(x))
Eq(F_427(x), F_428(x) - F_9(x))
Eq(F_428(x), F_108(x) + F_5(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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "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, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"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, 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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, 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[[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0, 3], 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0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], 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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, 0]]}]}}}]}, {"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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "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, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "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": "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, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}

Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24591/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[26,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[4,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[1,x]+F[7,x]
F[11,x] = F[12,x]+F[7,x]
F[12,x] = F[13,x]+F[14,x]+F[21,x]
F[13,x] = 0
F[14,x] = F[15,x]*F[4,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]+F[7,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[4,x]
F[19,x] = F[20,x]
F[20,x] = F[7,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[20,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[7,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[261,x]+F[29,x]
F[29,x] = F[30,x]+F[6,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[246,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = 1/F[4,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = -F[45,x]+F[38,x]
F[38,x] = 1/F[4,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = -F[44,x]+F[41,x]
F[41,x] = -F[0,x]+F[42,x]
F[42,x] = 1/F[4,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = x*(1+F[44,x])^2*(x*F[44,x]+1)
F[45,x] = F[46,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[52,x]+F[50,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[40,x]
F[52,x] = -F[232,x]+F[53,x]
F[53,x] = F[227,x]+F[54,x]
F[54,x] = -F[57,x]+F[55,x]
F[55,x] = 1/F[4,x]*F[56,x]
F[56,x] = F[6,x]
F[57,x] = F[225,x]+F[58,x]
F[58,x] = F[59,x]+F[6,x]
F[59,x] = F[60,x]
F[60,x] = F[4,x]*F[61,x]
F[61,x] = F[62,x]+F[67,x]
F[62,x] = F[63,x]
F[63,x] = F[4,x]*F[64,x]
F[64,x] = 1/F[4,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[42,x]+F[54,x]
F[67,x] = F[68,x]
F[68,x] = F[4,x]*F[69,x]
F[69,x] = F[70,x]+F[76,x]
F[70,x] = F[71,x]*F[72,x]
F[71,x] = 1+x^2*F[71,x]^3+(-x^2+x)*F[71,x]^2
F[72,x] = F[73,x]+F[75,x]
F[73,x] = 1/F[4,x]*F[74,x]
F[74,x] = F[41,x]
F[75,x] = F[66,x]
F[76,x] = F[73,x]*F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = 1/F[175,x]/F[4,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[71,x]+F[82,x]
F[82,x] = F[10,x]+F[83,x]
F[83,x] = -F[162,x]+F[84,x]
F[84,x] = -F[91,x]+F[85,x]
F[85,x] = 1/F[4,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = -F[44,x]+F[88,x]
F[88,x] = -F[0,x]+F[89,x]
F[89,x] = 1/F[4,x]*F[90,x]
F[90,x] = F[2,x]
F[91,x] = F[160,x]+F[92,x]
F[92,x] = F[88,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[4,x]*F[95,x]
F[95,x] = F[111,x]+F[96,x]
F[96,x] = F[88,x]*F[97,x]
F[97,x] = F[71,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[4,x]*F[97,x]
F[100,x] = 1/F[103,x]/F[4,x]*F[101,x]
F[101,x] = F[102,x]
F[102,x] = -F[71,x]+F[103,x]
F[103,x] = 1/F[0,x]*F[104,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[4,x]*F[106,x]
F[106,x] = F[88,x]
F[107,x] = -F[110,x]+F[108,x]
F[108,x] = 1/F[4,x]*F[109,x]
F[109,x] = F[87,x]
F[110,x] = F[103,x]*F[2,x]
F[111,x] = -F[158,x]+F[112,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = F[115,x]+F[136,x]
F[115,x] = F[116,x]+F[137,x]
F[116,x] = F[100,x]*F[117,x]
F[117,x] = -F[120,x]+F[118,x]
F[118,x] = 1/F[4,x]*F[119,x]
F[119,x] = F[107,x]
F[120,x] = F[121,x]+F[125,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[4,x]*F[79,x]
F[123,x] = F[105,x]+F[124,x]
F[124,x] = F[103,x]*F[88,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[4,x]
F[127,x] = F[128,x]+F[135,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[71,x]
F[130,x] = 1/F[4,x]*F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[4,x]*F[79,x]
F[133,x] = F[134,x]
F[134,x] = F[123,x]*F[4,x]
F[135,x] = F[136,x]
F[136,x] = F[100,x]*F[120,x]
F[137,x] = F[138,x]*F[71,x]
F[138,x] = -F[118,x]+F[139,x]
F[139,x] = 1/F[4,x]*F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]+F[91,x]
F[142,x] = F[143,x]
F[143,x] = -F[156,x]+F[144,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[4,x]
F[146,x] = F[147,x]+F[151,x]
F[147,x] = F[148,x]*F[79,x]
F[148,x] = F[133,x]+F[149,x]
F[149,x] = 1/F[4,x]*F[150,x]
F[150,x] = F[88,x]
F[151,x] = F[152,x]*F[71,x]
F[152,x] = 1/F[4,x]*F[153,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]
F[155,x] = F[133,x]*F[4,x]
F[156,x] = F[157,x]*F[71,x]
F[157,x] = F[154,x]+F[88,x]
F[158,x] = F[159,x]
F[159,x] = F[100,x]*F[120,x]*F[4,x]
F[160,x] = F[161,x]
F[161,x] = F[120,x]*F[4,x]
F[162,x] = F[163,x]+F[164,x]
F[163,x] = F[2,x]*F[44,x]
F[164,x] = F[165,x]
F[165,x] = F[166,x]*F[173,x]*F[4,x]
F[166,x] = 1/F[4,x]*F[167,x]
F[167,x] = F[168,x]
F[168,x] = -F[2,x]+F[169,x]
F[169,x] = -F[10,x]+F[170,x]
F[170,x] = F[0,x]+F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[149,x]*F[4,x]
F[173,x] = F[174,x]+F[44,x]
F[174,x] = -F[71,x]+F[79,x]
F[175,x] = F[176,x]+F[184,x]
F[176,x] = F[1,x]+F[177,x]
F[177,x] = F[178,x]
F[178,x] = F[179,x]*F[4,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[1,x]+F[4,x]
F[181,x] = F[177,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[177,x]*F[4,x]
F[184,x] = F[185,x]+F[192,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[4,x]
F[187,x] = F[188,x]+F[189,x]
F[188,x] = F[1,x]+F[185,x]
F[189,x] = F[190,x]+F[4,x]
F[190,x] = F[191,x]
F[191,x] = F[185,x]*F[4,x]
F[192,x] = F[13,x]+F[193,x]+F[209,x]
F[193,x] = F[194,x]*F[4,x]
F[194,x] = F[195,x]+F[196,x]
F[195,x] = F[177,x]+F[192,x]
F[196,x] = F[197,x]+F[203,x]
F[197,x] = F[13,x]+F[198,x]+F[199,x]
F[198,x] = F[177,x]*F[4,x]
F[199,x] = F[200,x]*F[4,x]
F[200,x] = F[201,x]+F[202,x]
F[201,x] = F[4,x]
F[202,x] = F[198,x]
F[203,x] = 2*F[13,x]+F[204,x]+F[205,x]
F[204,x] = F[192,x]*F[4,x]
F[205,x] = F[206,x]*F[4,x]
F[206,x] = F[207,x]+F[208,x]
F[207,x] = F[190,x]
F[208,x] = F[204,x]
F[209,x] = F[210,x]*F[4,x]
F[210,x] = F[211,x]+F[218,x]
F[211,x] = F[185,x]+F[212,x]
F[212,x] = F[13,x]+F[213,x]+F[217,x]
F[213,x] = F[214,x]*F[4,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]+F[4,x]
F[216,x] = F[217,x]
F[217,x] = F[185,x]*F[4,x]
F[218,x] = F[192,x]+F[219,x]
F[219,x] = 2*F[13,x]+F[220,x]+F[224,x]
F[220,x] = F[221,x]*F[4,x]
F[221,x] = F[222,x]
F[222,x] = F[182,x]+F[223,x]
F[223,x] = F[224,x]
F[224,x] = F[192,x]*F[4,x]
F[225,x] = F[226,x]
F[226,x] = F[4,x]*F[58,x]*F[97,x]
F[227,x] = F[228,x]
F[228,x] = F[229,x]*F[4,x]*F[97,x]
F[229,x] = 1/F[103,x]/F[4,x]*F[230,x]
F[230,x] = F[231,x]
F[231,x] = -F[54,x]+F[73,x]
F[232,x] = F[233,x]+F[42,x]
F[233,x] = F[234,x]+F[236,x]
F[234,x] = F[235,x]
F[235,x] = F[4,x]*F[5,x]*F[97,x]
F[236,x] = F[237,x]
F[237,x] = F[238,x]*F[4,x]
F[238,x] = F[239,x]+F[241,x]
F[239,x] = F[240,x]
F[240,x] = F[44,x]*F[54,x]*F[71,x]
F[241,x] = F[242,x]
F[242,x] = F[243,x]*F[4,x]*F[97,x]
F[243,x] = 1/F[4,x]*F[244,x]
F[244,x] = F[245,x]
F[245,x] = -F[5,x]+F[54,x]
F[246,x] = F[247,x]
F[247,x] = F[248,x]*F[4,x]
F[248,x] = F[249,x]+F[253,x]
F[249,x] = F[103,x]*F[250,x]
F[250,x] = F[229,x]+F[251,x]
F[251,x] = F[252,x]
F[252,x] = F[100,x]*F[250,x]*F[4,x]
F[253,x] = F[254,x]*F[258,x]
F[254,x] = F[255,x]
F[255,x] = F[256,x]*F[4,x]
F[256,x] = 1/F[4,x]*F[257,x]
F[257,x] = F[174,x]
F[258,x] = F[259,x]+F[73,x]
F[259,x] = F[260,x]
F[260,x] = F[4,x]*F[71,x]*F[73,x]
F[261,x] = F[262,x]
F[262,x] = F[263,x]*F[4,x]
F[263,x] = 1/F[4,x]*F[264,x]
F[264,x] = F[265,x]
F[265,x] = -F[9,x]+F[266,x]
F[266,x] = F[5,x]+F[58,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{26}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{13}\! \left(x \right) = 0
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{7}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{7}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{20}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{7}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{261}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{246}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = x^{2} F_{44} \left(x \right)^{3}+2 x^{2} F_{44} \left(x \right)^{2}+x^{2} F_{44}\! \left(x \right)+x F_{44} \left(x \right)^{2}+2 x F_{44}\! \left(x \right)+x
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{40}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{227}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = F_{225}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{6}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{4}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{67}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{54}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{76}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right) F_{72}\! \left(x \right)
F_{71}\! \left(x \right) = x^{2} F_{71} \left(x \right)^{3}-x^{2} F_{71} \left(x \right)^{2}+x F_{71} \left(x \right)^{2}+1
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{75}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{41}\! \left(x \right)
F_{75}\! \left(x \right) = F_{66}\! \left(x \right)
F_{76}\! \left(x \right) = F_{73}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{175}\! \left(x \right) F_{4}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{10}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{91}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{2}\! \left(x \right)
F_{91}\! \left(x \right) = F_{160}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{88}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{4}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{111}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{88}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{71}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{103}\! \left(x \right) F_{4}\! \left(x \right)}
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{104}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{88}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{87}\! \left(x \right)
F_{110}\! \left(x \right) = F_{103}\! \left(x \right) F_{2}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{136}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{137}\! \left(x \right)
F_{116}\! \left(x \right) = F_{100}\! \left(x \right) F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{107}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{125}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{123}\! \left(x \right) = F_{105}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{103}\! \left(x \right) F_{88}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{135}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{71}\! \left(x \right)
F_{130}\! \left(x \right) = \frac{F_{131}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{100}\! \left(x \right) F_{120}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{71}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{91}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{4}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{151}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{79}\! \left(x \right)
F_{148}\! \left(x \right) = F_{133}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{88}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right) F_{71}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{133}\! \left(x \right) F_{4}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{71}\! \left(x \right)
F_{157}\! \left(x \right) = F_{154}\! \left(x \right)+F_{88}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{100}\! \left(x \right) F_{120}\! \left(x \right) F_{4}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{120}\! \left(x \right) F_{4}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{164}\! \left(x \right)
F_{163}\! \left(x \right) = F_{2}\! \left(x \right) F_{44}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{0}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{149}\! \left(x \right) F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{44}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{79}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{184}\! \left(x \right)
F_{176}\! \left(x \right) = F_{1}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{4}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{177}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{177}\! \left(x \right) F_{4}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{192}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{4}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{189}\! \left(x \right)
F_{188}\! \left(x \right) = F_{1}\! \left(x \right)+F_{185}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{185}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{13}\! \left(x \right)+F_{193}\! \left(x \right)+F_{209}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{4}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{196}\! \left(x \right)
F_{195}\! \left(x \right) = F_{177}\! \left(x \right)+F_{192}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{203}\! \left(x \right)
F_{197}\! \left(x \right) = F_{13}\! \left(x \right)+F_{198}\! \left(x \right)+F_{199}\! \left(x \right)
F_{198}\! \left(x \right) = F_{177}\! \left(x \right) F_{4}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{202}\! \left(x \right)
F_{201}\! \left(x \right) = F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{198}\! \left(x \right)
F_{203}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{4}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{208}\! \left(x \right)
F_{207}\! \left(x \right) = F_{190}\! \left(x \right)
F_{208}\! \left(x \right) = F_{204}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{218}\! \left(x \right)
F_{211}\! \left(x \right) = F_{185}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{13}\! \left(x \right)+F_{213}\! \left(x \right)+F_{217}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{4}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{4}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{185}\! \left(x \right) F_{4}\! \left(x \right)
F_{218}\! \left(x \right) = F_{192}\! \left(x \right)+F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{220}\! \left(x \right)+F_{224}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{4}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{182}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right) F_{97}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right) F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{103}\! \left(x \right) F_{4}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{73}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{42}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{236}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right) F_{97}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right) F_{4}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{241}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{44}\! \left(x \right) F_{54}\! \left(x \right) F_{71}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right) F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{243}\! \left(x \right) = \frac{F_{244}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{54}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right) F_{4}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{253}\! \left(x \right)
F_{249}\! \left(x \right) = F_{103}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{229}\! \left(x \right)+F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{100}\! \left(x \right) F_{250}\! \left(x \right) F_{4}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right) F_{258}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right) F_{4}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{257}\! \left(x \right) = F_{174}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{73}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{4}\! \left(x \right) F_{71}\! \left(x \right) F_{73}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{5}\! \left(x \right)+F_{58}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_26(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_4(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_1(x) + F_7(x))
Eq(F_11(x), F_12(x) + F_7(x))
Eq(F_12(x), F_13(x) + F_14(x) + F_21(x))
Eq(F_13(x), 0)
Eq(F_14(x), F_15(x)*F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x) + F_7(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_7(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_20(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_7(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_261(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_6(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_246(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x)/F_4(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x) - F_45(x))
Eq(F_38(x), F_39(x)/F_4(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_41(x) - F_44(x))
Eq(F_41(x), -F_0(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_4(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), x**2*(F_44(x) + 1)**3 - x*(x - 1)*(F_44(x) + 1)**2)
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_50(x) - F_52(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_40(x))
Eq(F_52(x), -F_232(x) + F_53(x))
Eq(F_53(x), F_227(x) + F_54(x))
Eq(F_54(x), F_55(x) - F_57(x))
Eq(F_55(x), F_56(x)/F_4(x))
Eq(F_56(x), F_6(x))
Eq(F_57(x), F_225(x) + F_58(x))
Eq(F_58(x), F_59(x) + F_6(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_4(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_67(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_4(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_4(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), -F_42(x) + F_54(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_4(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_76(x))
Eq(F_70(x), F_71(x)*F_72(x))
Eq(F_71(x), x**2*F_71(x)**3 - x*(x - 1)*F_71(x)**2 + 1)
Eq(F_72(x), F_73(x) + F_75(x))
Eq(F_73(x), F_74(x)/F_4(x))
Eq(F_74(x), F_41(x))
Eq(F_75(x), F_66(x))
Eq(F_76(x), F_73(x)*F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_80(x)/(F_175(x)*F_4(x)))
Eq(F_80(x), F_81(x))
Eq(F_81(x), -F_71(x) + F_82(x))
Eq(F_82(x), F_10(x) + F_83(x))
Eq(F_83(x), -F_162(x) + F_84(x))
Eq(F_84(x), F_85(x) - F_91(x))
Eq(F_85(x), F_86(x)/F_4(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), -F_44(x) + F_88(x))
Eq(F_88(x), -F_0(x) + F_89(x))
Eq(F_89(x), F_90(x)/F_4(x))
Eq(F_90(x), F_2(x))
Eq(F_91(x), F_160(x) + F_92(x))
Eq(F_92(x), F_88(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_4(x)*F_95(x))
Eq(F_95(x), F_111(x) + F_96(x))
Eq(F_96(x), F_88(x)*F_97(x))
Eq(F_97(x), F_71(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_4(x)*F_97(x))
Eq(F_100(x), F_101(x)/(F_103(x)*F_4(x)))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x) - F_71(x))
Eq(F_103(x), F_104(x)/F_0(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_4(x))
Eq(F_106(x), F_88(x))
Eq(F_107(x), F_108(x) - F_110(x))
Eq(F_108(x), F_109(x)/F_4(x))
Eq(F_109(x), F_87(x))
Eq(F_110(x), F_103(x)*F_2(x))
Eq(F_111(x), F_112(x) - F_158(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x) + F_136(x))
Eq(F_115(x), F_116(x) + F_137(x))
Eq(F_116(x), F_100(x)*F_117(x))
Eq(F_117(x), F_118(x) - F_120(x))
Eq(F_118(x), F_119(x)/F_4(x))
Eq(F_119(x), F_107(x))
Eq(F_120(x), F_121(x) + F_125(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_4(x)*F_79(x))
Eq(F_123(x), F_105(x) + F_124(x))
Eq(F_124(x), F_103(x)*F_88(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), F_128(x) + F_135(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_71(x))
Eq(F_130(x), F_131(x)/F_4(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_4(x)*F_79(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_123(x)*F_4(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_100(x)*F_120(x))
Eq(F_137(x), F_138(x)*F_71(x))
Eq(F_138(x), -F_118(x) + F_139(x))
Eq(F_139(x), F_140(x)/F_4(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x) + F_91(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x) - F_156(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_4(x))
Eq(F_146(x), F_147(x) + F_151(x))
Eq(F_147(x), F_148(x)*F_79(x))
Eq(F_148(x), F_133(x) + F_149(x))
Eq(F_149(x), F_150(x)/F_4(x))
Eq(F_150(x), F_88(x))
Eq(F_151(x), F_152(x)*F_71(x))
Eq(F_152(x), F_153(x)/F_4(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_133(x)*F_4(x))
Eq(F_156(x), F_157(x)*F_71(x))
Eq(F_157(x), F_154(x) + F_88(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_100(x)*F_120(x)*F_4(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_120(x)*F_4(x))
Eq(F_162(x), F_163(x) + F_164(x))
Eq(F_163(x), F_2(x)*F_44(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x)*F_173(x)*F_4(x))
Eq(F_166(x), F_167(x)/F_4(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x) - F_2(x))
Eq(F_169(x), -F_10(x) + F_170(x))
Eq(F_170(x), F_0(x) + F_171(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_149(x)*F_4(x))
Eq(F_173(x), F_174(x) + F_44(x))
Eq(F_174(x), -F_71(x) + F_79(x))
Eq(F_175(x), F_176(x) + F_184(x))
Eq(F_176(x), F_1(x) + F_177(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x)*F_4(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_1(x) + F_4(x))
Eq(F_181(x), F_177(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_177(x)*F_4(x))
Eq(F_184(x), F_185(x) + F_192(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_4(x))
Eq(F_187(x), F_188(x) + F_189(x))
Eq(F_188(x), F_1(x) + F_185(x))
Eq(F_189(x), F_190(x) + F_4(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_185(x)*F_4(x))
Eq(F_192(x), F_13(x) + F_193(x) + F_209(x))
Eq(F_193(x), F_194(x)*F_4(x))
Eq(F_194(x), F_195(x) + F_196(x))
Eq(F_195(x), F_177(x) + F_192(x))
Eq(F_196(x), F_197(x) + F_203(x))
Eq(F_197(x), F_13(x) + F_198(x) + F_199(x))
Eq(F_198(x), F_177(x)*F_4(x))
Eq(F_199(x), F_200(x)*F_4(x))
Eq(F_200(x), F_201(x) + F_202(x))
Eq(F_201(x), F_4(x))
Eq(F_202(x), F_198(x))
Eq(F_203(x), 2*F_13(x) + F_204(x) + F_205(x))
Eq(F_204(x), F_192(x)*F_4(x))
Eq(F_205(x), F_206(x)*F_4(x))
Eq(F_206(x), F_207(x) + F_208(x))
Eq(F_207(x), F_190(x))
Eq(F_208(x), F_204(x))
Eq(F_209(x), F_210(x)*F_4(x))
Eq(F_210(x), F_211(x) + F_218(x))
Eq(F_211(x), F_185(x) + F_212(x))
Eq(F_212(x), F_13(x) + F_213(x) + F_217(x))
Eq(F_213(x), F_214(x)*F_4(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x) + F_4(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_185(x)*F_4(x))
Eq(F_218(x), F_192(x) + F_219(x))
Eq(F_219(x), 2*F_13(x) + F_220(x) + F_224(x))
Eq(F_220(x), F_221(x)*F_4(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_182(x) + F_223(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_192(x)*F_4(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_4(x)*F_58(x)*F_97(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x)*F_4(x)*F_97(x))
Eq(F_229(x), F_230(x)/(F_103(x)*F_4(x)))
Eq(F_230(x), F_231(x))
Eq(F_231(x), -F_54(x) + F_73(x))
Eq(F_232(x), F_233(x) + F_42(x))
Eq(F_233(x), F_234(x) + F_236(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_4(x)*F_5(x)*F_97(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_238(x)*F_4(x))
Eq(F_238(x), F_239(x) + F_241(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_44(x)*F_54(x)*F_71(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x)*F_4(x)*F_97(x))
Eq(F_243(x), F_244(x)/F_4(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), -F_5(x) + F_54(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_248(x)*F_4(x))
Eq(F_248(x), F_249(x) + F_253(x))
Eq(F_249(x), F_103(x)*F_250(x))
Eq(F_250(x), F_229(x) + F_251(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_100(x)*F_250(x)*F_4(x))
Eq(F_253(x), F_254(x)*F_258(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_256(x)*F_4(x))
Eq(F_256(x), F_257(x)/F_4(x))
Eq(F_257(x), F_174(x))
Eq(F_258(x), F_259(x) + F_73(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_4(x)*F_71(x)*F_73(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_263(x)*F_4(x))
Eq(F_263(x), F_264(x)/F_4(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x) - F_9(x))
Eq(F_266(x), F_5(x) + F_58(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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "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, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 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[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "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": "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, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}

Specification 3
Strategy pack name: row_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/24761/
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[4,x]
F[3,x] = x
F[4,x] = F[1,x]+F[115,x]+F[5,x]
F[5,x] = F[3,x]*F[6,x]
F[6,x] = F[4,x]+F[7,x]
F[7,x] = F[3,x]*F[8,x]
F[8,x] = F[11,x]+F[9,x]+F[94,x]
F[9,x] = 1/F[3,x]*F[10,x]
F[10,x] = -F[0,x]+F[4,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[3,x]*F[90,x]
F[13,x] = F[14,x,1]
F[14,x,k[0]] = F[15,x]+F[16,x,k[0]]
F[15,x] = 1+x^2*F[15,x]^3+(-x^2+x)*F[15,x]^2
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[14,x,k[0]]*F[18,x,k[0]]
F[18,x,k[0]] = k[0]*F[19,x]
F[19,x] = F[20,x]*F[3,x]
F[20,x] = 1/F[3,x]/F[82,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = -F[15,x]+F[23,x]
F[23,x] = -F[72,x]+F[24,x]
F[24,x] = F[25,x]+F[27,x]
F[25,x] = F[0,x]+F[26,x]
F[26,x] = F[3,x]*F[9,x]
F[27,x] = F[28,x]
F[28,x] = F[13,x]*F[29,x]*F[3,x]
F[29,x] = F[30,x]+F[70,x]
F[30,x] = F[25,x]+F[31,x]
F[31,x] = F[3,x]*F[32,x]
F[32,x] = 1/F[20,x]*F[33,x]
F[33,x] = -F[55,x]+F[34,x]
F[34,x] = F[35,x]+F[52,x]
F[35,x] = F[15,x]*F[36,x]
F[36,x] = 1/F[3,x]*F[37,x]
F[37,x] = -F[25,x]-F[38,x]+F[9,x]
F[38,x] = F[39,x]
F[39,x] = F[3,x]*F[40,x]
F[40,x] = F[41,x]+F[42,x]+F[44,x]+F[46,x]
F[41,x] = F[15,x]*F[25,x]
F[42,x] = F[43,x]
F[43,x] = F[15,x]^2*F[3,x]*F[30,x]
F[44,x] = F[45,x]
F[45,x] = F[13,x]*F[20,x]*F[29,x]*F[3,x]
F[46,x] = F[47,x]
F[47,x] = F[20,x]*F[3,x]*F[48,x]
F[48,x] = 1/F[3,x]*F[49,x]
F[49,x] = -F[25,x]-F[50,x]+F[9,x]
F[50,x] = F[51,x]
F[51,x] = F[13,x]*F[29,x]*F[3,x]
F[52,x] = F[32,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[15,x]^2*F[3,x]
F[55,x] = F[15,x]*F[56,x]
F[56,x] = 2*F[57,x]+F[58,x]+F[60,x]
F[57,x] = 0
F[58,x] = F[59,x]
F[59,x] = F[15,x]*F[3,x]*F[32,x]
F[60,x] = F[61,x]
F[61,x] = F[3,x]*F[62,x]*F[9,x]
F[62,x] = F[57,x]+F[63,x]+F[69,x]
F[63,x] = F[3,x]*F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[13,x]*F[3,x]*F[66,x]
F[66,x] = F[67,x,1]
F[67,x,k[0]] = (F[68,x,k[0]]*k[0]-F[68,x,1])/(-1+k[0])
F[68,x,k[0]] = (x*F[68,x,k[0]]*k[0]+1)*(1+x*F[68,x,k[0]]*(F[68,x,k[0]]-1)*k[0])
F[69,x] = F[3,x]*F[66,x]
F[70,x] = F[71,x]
F[71,x] = F[15,x]*F[3,x]*F[30,x]
F[72,x] = F[73,x]
F[73,x] = F[3,x]*F[74,x]
F[74,x] = 1/F[3,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = -F[79,x]-F[85,x]+F[77,x]
F[77,x] = 1/F[3,x]*F[78,x]
F[78,x] = -F[15,x]+F[25,x]
F[79,x] = F[0,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[3,x]*F[4,x]*F[82,x]
F[82,x] = 1/F[29,x]/F[3,x]*F[83,x]
F[83,x] = F[84,x]
F[84,x] = -F[25,x]+F[24,x]
F[85,x] = F[3,x]*F[86,x]
F[86,x] = 1/F[3,x]*F[87,x]
F[87,x] = -F[79,x]+F[88,x]
F[88,x] = F[25,x]+F[89,x]
F[89,x] = F[3,x]*F[48,x]
F[90,x] = 1/F[3,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = -F[4,x]-F[93,x]+F[9,x]
F[93,x] = F[3,x]*F[8,x]
F[94,x] = F[3,x]*F[95,x]
F[95,x] = F[48,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[108,x]*F[3,x]*F[98,x]
F[98,x] = F[99,x,1]
F[99,x,k[0]] = (F[100,x,k[0]]*k[0]-F[100,x,1])/(-1+k[0])
F[101,x,k[0]] = F[100,x,k[0]]*F[107,x,k[0]]*F[29,x]
F[101,x,k[0]] = F[102,x,k[0]]
F[103,x,k[0]] = F[102,x,k[0]]+F[25,x]
F[103,x,k[0]] = F[104,x,k[0]]+F[25,x]
F[104,x,k[0]] = F[105,x,k[0]]
F[105,x,k[0]] = F[106,x,k[0]]*F[107,x,k[0]]*F[29,x]
F[106,x,k[0]] = F[82,k[0]*x]
F[107,x,k[0]] = k[0]*x
F[108,x] = F[109,x]+F[113,x]
F[109,x] = F[110,x]+F[111,x]+F[25,x]
F[110,x] = F[3,x]*F[36,x]
F[111,x] = F[112,x]
F[112,x] = F[3,x]*F[40,x]
F[113,x] = F[114,x]
F[114,x] = F[109,x]*F[15,x]*F[3,x]
F[115,x] = F[116,x]*F[3,x]
F[116,x] = F[117,x]+F[4,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[3,x]
F[119,x] = F[120,x]+F[125,x]
F[120,x] = 1/F[3,x]*F[121,x]
F[121,x] = -F[4,x]+F[122,x]
F[122,x] = F[123,x]+F[4,x]
F[123,x] = F[124,x]*F[3,x]
F[124,x] = F[31,x]+F[9,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[3,x]
F[127,x] = F[128,x]+F[129,x]
F[128,x] = F[124,x]*F[15,x]
F[129,x] = F[130,x,1]
F[130,x,k[0]] = F[131,x,k[0]]*F[9,x]
F[131,x,k[0]] = F[132,x,k[0]]
F[132,x,k[0]] = k[0]*F[133,x]
F[133,x] = F[134,x]
F[134,x] = F[3,x]*F[66,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_{4}\! \left(x \right)
F_{3}\! \left(x \right) = x
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{115}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{3}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{4}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{3}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{11}\! \left(x \right)+F_{9}\! \left(x \right)+F_{94}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{10}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{3}\! \left(x \right) F_{90}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x , 1\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x \right)+F_{16}\! \left(x , y\right)
F_{15}\! \left(x \right) = x^{2} F_{15} \left(x \right)^{3}-x^{2} F_{15} \left(x \right)^{2}+x F_{15} \left(x \right)^{2}+1
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = y F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{3}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{3}\! \left(x \right) F_{82}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{27}\! \left(x \right)
F_{25}\! \left(x \right) = F_{0}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{3}\! \left(x \right) F_{9}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{13}\! \left(x \right) F_{29}\! \left(x \right) F_{3}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{70}\! \left(x \right)
F_{30}\! \left(x \right) = F_{25}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{3}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{33}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{52}\! \left(x \right)
F_{35}\! \left(x \right) = F_{15}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = \frac{F_{37}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{37}\! \left(x \right) = -F_{25}\! \left(x \right)-F_{38}\! \left(x \right)+F_{9}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{3}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)+F_{44}\! \left(x \right)+F_{46}\! \left(x \right)
F_{41}\! \left(x \right) = F_{15}\! \left(x \right) F_{25}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{15} \left(x \right)^{2} F_{3}\! \left(x \right) F_{30}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right) F_{29}\! \left(x \right) F_{3}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{20}\! \left(x \right) F_{3}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{49}\! \left(x \right) = -F_{25}\! \left(x \right)-F_{50}\! \left(x \right)+F_{9}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{13}\! \left(x \right) F_{29}\! \left(x \right) F_{3}\! \left(x \right)
F_{52}\! \left(x \right) = F_{32}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{15} \left(x \right)^{2} F_{3}\! \left(x \right)
F_{55}\! \left(x \right) = F_{15}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = 2 F_{57}\! \left(x \right)+F_{58}\! \left(x \right)+F_{60}\! \left(x \right)
F_{57}\! \left(x \right) = 0
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{15}\! \left(x \right) F_{3}\! \left(x \right) F_{32}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{3}\! \left(x \right) F_{62}\! \left(x \right) F_{9}\! \left(x \right)
F_{62}\! \left(x \right) = F_{57}\! \left(x \right)+F_{63}\! \left(x \right)+F_{69}\! \left(x \right)
F_{63}\! \left(x \right) = F_{3}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{13}\! \left(x \right) F_{3}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x , 1\right)
F_{67}\! \left(x , y\right) = -\frac{-F_{68}\! \left(x , y\right) y +F_{68}\! \left(x , 1\right)}{-1+y}
F_{68}\! \left(x , y\right) = y^{2} x^{2} F_{68}\! \left(x , y\right)^{3}-x^{2} F_{68}\! \left(x , y\right)^{2} y^{2}+y x F_{68}\! \left(x , y\right)^{2}+1
F_{69}\! \left(x \right) = F_{3}\! \left(x \right) F_{66}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{15}\! \left(x \right) F_{3}\! \left(x \right) F_{30}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{3}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = -F_{79}\! \left(x \right)-F_{85}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{78}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{25}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{3}\! \left(x \right) F_{4}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{29}\! \left(x \right) F_{3}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{24}\! \left(x \right)
F_{85}\! \left(x \right) = F_{3}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{87}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{25}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{3}\! \left(x \right) F_{48}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{4}\! \left(x \right)-F_{93}\! \left(x \right)+F_{9}\! \left(x \right)
F_{93}\! \left(x \right) = F_{3}\! \left(x \right) F_{8}\! \left(x \right)
F_{94}\! \left(x \right) = F_{3}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{48}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{108}\! \left(x \right) F_{3}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x , 1\right)
F_{99}\! \left(x , y\right) = -\frac{-y F_{100}\! \left(x , y\right)+F_{100}\! \left(x , 1\right)}{-1+y}
F_{101}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{107}\! \left(x , y\right) F_{29}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{25}\! \left(x \right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{25}\! \left(x \right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{107}\! \left(x , y\right) F_{29}\! \left(x \right)
F_{106}\! \left(x , y\right) = F_{82}\! \left(y x \right)
F_{107}\! \left(x , y\right) = y x
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{113}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{111}\! \left(x \right)+F_{25}\! \left(x \right)
F_{110}\! \left(x \right) = F_{3}\! \left(x \right) F_{36}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{3}\! \left(x \right) F_{40}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{109}\! \left(x \right) F_{15}\! \left(x \right) F_{3}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{3}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{4}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{3}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{125}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{3}\! \left(x \right)}
F_{121}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{4}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{3}\! \left(x \right)
F_{124}\! \left(x \right) = F_{31}\! \left(x \right)+F_{9}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{3}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{129}\! \left(x \right)
F_{128}\! \left(x \right) = F_{124}\! \left(x \right) F_{15}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x , 1\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{9}\! \left(x \right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = y F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{3}\! \left(x \right) F_{66}\! \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)*F_4(x))
Eq(F_3(x), x)
Eq(F_4(x), F_1(x) + F_115(x) + F_5(x))
Eq(F_5(x), F_3(x)*F_6(x))
Eq(F_6(x), F_4(x) + F_7(x))
Eq(F_7(x), F_3(x)*F_8(x))
Eq(F_8(x), F_11(x) + F_9(x) + F_94(x))
Eq(F_9(x), F_10(x)/F_3(x))
Eq(F_10(x), -F_0(x) + F_4(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_3(x)*F_90(x))
Eq(F_13(x), F_14(x, 1))
Eq(F_14(x, k_0), F_15(x) + F_16(x, k_0))
Eq(F_15(x), x**2*F_15(x)**3 - x*(x - 1)*F_15(x)**2 + 1)
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_14(x, k_0)*F_18(x, k_0))
Eq(F_18(x, k_0), k_0*F_19(x))
Eq(F_19(x), F_20(x)*F_3(x))
Eq(F_20(x), F_21(x)/(F_3(x)*F_82(x)))
Eq(F_21(x), F_22(x))
Eq(F_22(x), -F_15(x) + F_23(x))
Eq(F_23(x), F_24(x) - F_72(x))
Eq(F_24(x), F_25(x) + F_27(x))
Eq(F_25(x), F_0(x) + F_26(x))
Eq(F_26(x), F_3(x)*F_9(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_13(x)*F_29(x)*F_3(x))
Eq(F_29(x), F_30(x) + F_70(x))
Eq(F_30(x), F_25(x) + F_31(x))
Eq(F_31(x), F_3(x)*F_32(x))
Eq(F_32(x), F_33(x)/F_20(x))
Eq(F_33(x), F_34(x) - F_55(x))
Eq(F_34(x), F_35(x) + F_52(x))
Eq(F_35(x), F_15(x)*F_36(x))
Eq(F_36(x), F_37(x)/F_3(x))
Eq(F_37(x), -F_25(x) - F_38(x) + F_9(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_3(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_42(x) + F_44(x) + F_46(x))
Eq(F_41(x), F_15(x)*F_25(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_15(x)**2*F_3(x)*F_30(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_13(x)*F_20(x)*F_29(x)*F_3(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_20(x)*F_3(x)*F_48(x))
Eq(F_48(x), F_49(x)/F_3(x))
Eq(F_49(x), -F_25(x) - F_50(x) + F_9(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_13(x)*F_29(x)*F_3(x))
Eq(F_52(x), F_32(x)*F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_15(x)**2*F_3(x))
Eq(F_55(x), F_15(x)*F_56(x))
Eq(F_56(x), 2*F_57(x) + F_58(x) + F_60(x))
Eq(F_57(x), 0)
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_15(x)*F_3(x)*F_32(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_3(x)*F_62(x)*F_9(x))
Eq(F_62(x), F_57(x) + F_63(x) + F_69(x))
Eq(F_63(x), F_3(x)*F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_13(x)*F_3(x)*F_66(x))
Eq(F_66(x), F_67(x, 1))
Eq(F_67(x, k_0), (-k_0*F_68(x, k_0) + F_68(x, 1))/(1 - k_0))
Eq(F_68(x, k_0), k_0**2*x**2*F_68(x, k_0)**3 - k_0*x*(k_0*x - 1)*F_68(x, k_0)**2 + 1)
Eq(F_69(x), F_3(x)*F_66(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_15(x)*F_3(x)*F_30(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_3(x)*F_74(x))
Eq(F_74(x), F_75(x)/F_3(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_77(x) - F_79(x) - F_85(x))
Eq(F_77(x), F_78(x)/F_3(x))
Eq(F_78(x), -F_15(x) + F_25(x))
Eq(F_79(x), F_0(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_3(x)*F_4(x)*F_82(x))
Eq(F_82(x), F_83(x)/(F_29(x)*F_3(x)))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_24(x) - F_25(x))
Eq(F_85(x), F_3(x)*F_86(x))
Eq(F_86(x), F_87(x)/F_3(x))
Eq(F_87(x), -F_79(x) + F_88(x))
Eq(F_88(x), F_25(x) + F_89(x))
Eq(F_89(x), F_3(x)*F_48(x))
Eq(F_90(x), F_91(x)/F_3(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), -F_4(x) + F_9(x) - F_93(x))
Eq(F_93(x), F_3(x)*F_8(x))
Eq(F_94(x), F_3(x)*F_95(x))
Eq(F_95(x), F_48(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_108(x)*F_3(x)*F_98(x))
Eq(F_98(x), F_99(x, 1))
Eq(F_99(x, k_0), (-k_0*F_100(x, k_0) + F_100(x, 1))/(1 - k_0))
Eq(F_101(x, k_0), F_100(x, k_0)*F_107(x, k_0)*F_29(x))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_103(x, k_0), F_102(x, k_0) + F_25(x))
Eq(F_103(x, k_0), F_104(x, k_0) + F_25(x))
Eq(F_104(x, k_0), F_105(x, k_0))
Eq(F_105(x, k_0), F_106(x, k_0)*F_107(x, k_0)*F_29(x))
Eq(F_106(x, k_0), F_82(k_0*x))
Eq(F_107(x, k_0), k_0*x)
Eq(F_108(x), F_109(x) + F_113(x))
Eq(F_109(x), F_110(x) + F_111(x) + F_25(x))
Eq(F_110(x), F_3(x)*F_36(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_3(x)*F_40(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_109(x)*F_15(x)*F_3(x))
Eq(F_115(x), F_116(x)*F_3(x))
Eq(F_116(x), F_117(x) + F_4(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_3(x))
Eq(F_119(x), F_120(x) + F_125(x))
Eq(F_120(x), F_121(x)/F_3(x))
Eq(F_121(x), F_122(x) - F_4(x))
Eq(F_122(x), F_123(x) + F_4(x))
Eq(F_123(x), F_124(x)*F_3(x))
Eq(F_124(x), F_31(x) + F_9(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_3(x))
Eq(F_127(x), F_128(x) + F_129(x))
Eq(F_128(x), F_124(x)*F_15(x))
Eq(F_129(x), F_130(x, 1))
Eq(F_130(x, k_0), F_131(x, k_0)*F_9(x))
Eq(F_131(x, k_0), F_132(x, k_0))
Eq(F_132(x, k_0), k_0*F_133(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_3(x)*F_66(x))
Pack JSON:
{"name": "row_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "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.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 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{"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 1], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}]}

Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24965/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[26,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[4,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[1,x]+F[7,x]
F[11,x] = F[12,x]+F[7,x]
F[12,x] = F[13,x]+F[14,x]+F[21,x]
F[13,x] = 0
F[14,x] = F[15,x]*F[4,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]+F[7,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[4,x]
F[19,x] = F[20,x]
F[20,x] = F[7,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[20,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[7,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[261,x]+F[29,x]
F[29,x] = F[30,x]+F[6,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[246,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = 1/F[4,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = -F[45,x]+F[38,x]
F[38,x] = 1/F[4,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = -F[44,x]+F[41,x]
F[41,x] = -F[0,x]+F[42,x]
F[42,x] = 1/F[4,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = x*(1+F[44,x])^2*(x*F[44,x]+1)
F[45,x] = F[46,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[52,x]+F[50,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[40,x]
F[52,x] = -F[232,x]+F[53,x]
F[53,x] = F[227,x]+F[54,x]
F[54,x] = -F[57,x]+F[55,x]
F[55,x] = 1/F[4,x]*F[56,x]
F[56,x] = F[6,x]
F[57,x] = F[225,x]+F[58,x]
F[58,x] = F[59,x]+F[6,x]
F[59,x] = F[60,x]
F[60,x] = F[4,x]*F[61,x]
F[61,x] = F[62,x]+F[67,x]
F[62,x] = F[63,x]
F[63,x] = F[4,x]*F[64,x]
F[64,x] = 1/F[4,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[42,x]+F[54,x]
F[67,x] = F[68,x]
F[68,x] = F[4,x]*F[69,x]
F[69,x] = F[70,x]+F[76,x]
F[70,x] = F[71,x]*F[72,x]
F[71,x] = 1+x^2*F[71,x]^3+(-x^2+x)*F[71,x]^2
F[72,x] = F[73,x]+F[75,x]
F[73,x] = 1/F[4,x]*F[74,x]
F[74,x] = F[41,x]
F[75,x] = F[66,x]
F[76,x] = F[73,x]*F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = 1/F[175,x]/F[4,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[71,x]+F[82,x]
F[82,x] = F[10,x]+F[83,x]
F[83,x] = -F[162,x]+F[84,x]
F[84,x] = -F[91,x]+F[85,x]
F[85,x] = 1/F[4,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = -F[44,x]+F[88,x]
F[88,x] = -F[0,x]+F[89,x]
F[89,x] = 1/F[4,x]*F[90,x]
F[90,x] = F[2,x]
F[91,x] = F[160,x]+F[92,x]
F[92,x] = F[88,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[4,x]*F[95,x]
F[95,x] = F[111,x]+F[96,x]
F[96,x] = F[88,x]*F[97,x]
F[97,x] = F[71,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[4,x]*F[97,x]
F[100,x] = 1/F[103,x]/F[4,x]*F[101,x]
F[101,x] = F[102,x]
F[102,x] = -F[71,x]+F[103,x]
F[103,x] = 1/F[0,x]*F[104,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[4,x]*F[106,x]
F[106,x] = F[88,x]
F[107,x] = -F[110,x]+F[108,x]
F[108,x] = 1/F[4,x]*F[109,x]
F[109,x] = F[87,x]
F[110,x] = F[103,x]*F[2,x]
F[111,x] = -F[158,x]+F[112,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = F[115,x]+F[136,x]
F[115,x] = F[116,x]+F[137,x]
F[116,x] = F[100,x]*F[117,x]
F[117,x] = -F[120,x]+F[118,x]
F[118,x] = 1/F[4,x]*F[119,x]
F[119,x] = F[107,x]
F[120,x] = F[121,x]+F[125,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[4,x]*F[79,x]
F[123,x] = F[105,x]+F[124,x]
F[124,x] = F[103,x]*F[88,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[4,x]
F[127,x] = F[128,x]+F[135,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[71,x]
F[130,x] = 1/F[4,x]*F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[4,x]*F[79,x]
F[133,x] = F[134,x]
F[134,x] = F[123,x]*F[4,x]
F[135,x] = F[136,x]
F[136,x] = F[100,x]*F[120,x]
F[137,x] = F[138,x]*F[71,x]
F[138,x] = -F[118,x]+F[139,x]
F[139,x] = 1/F[4,x]*F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]+F[91,x]
F[142,x] = F[143,x]
F[143,x] = -F[156,x]+F[144,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[4,x]
F[146,x] = F[147,x]+F[151,x]
F[147,x] = F[148,x]*F[79,x]
F[148,x] = F[133,x]+F[149,x]
F[149,x] = 1/F[4,x]*F[150,x]
F[150,x] = F[88,x]
F[151,x] = F[152,x]*F[71,x]
F[152,x] = 1/F[4,x]*F[153,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]
F[155,x] = F[133,x]*F[4,x]
F[156,x] = F[157,x]*F[71,x]
F[157,x] = F[154,x]+F[88,x]
F[158,x] = F[159,x]
F[159,x] = F[100,x]*F[120,x]*F[4,x]
F[160,x] = F[161,x]
F[161,x] = F[120,x]*F[4,x]
F[162,x] = F[163,x]+F[164,x]
F[163,x] = F[2,x]*F[44,x]
F[164,x] = F[165,x]
F[165,x] = F[166,x]*F[173,x]*F[4,x]
F[166,x] = 1/F[4,x]*F[167,x]
F[167,x] = F[168,x]
F[168,x] = -F[2,x]+F[169,x]
F[169,x] = -F[10,x]+F[170,x]
F[170,x] = F[0,x]+F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[149,x]*F[4,x]
F[173,x] = F[174,x]+F[44,x]
F[174,x] = -F[71,x]+F[79,x]
F[175,x] = F[176,x]+F[184,x]
F[176,x] = F[1,x]+F[177,x]
F[177,x] = F[178,x]
F[178,x] = F[179,x]*F[4,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[1,x]+F[4,x]
F[181,x] = F[177,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[177,x]*F[4,x]
F[184,x] = F[185,x]+F[192,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[4,x]
F[187,x] = F[188,x]+F[189,x]
F[188,x] = F[1,x]+F[185,x]
F[189,x] = F[190,x]+F[4,x]
F[190,x] = F[191,x]
F[191,x] = F[185,x]*F[4,x]
F[192,x] = F[13,x]+F[193,x]+F[209,x]
F[193,x] = F[194,x]*F[4,x]
F[194,x] = F[195,x]+F[196,x]
F[195,x] = F[177,x]+F[192,x]
F[196,x] = F[197,x]+F[203,x]
F[197,x] = F[13,x]+F[198,x]+F[199,x]
F[198,x] = F[177,x]*F[4,x]
F[199,x] = F[200,x]*F[4,x]
F[200,x] = F[201,x]+F[202,x]
F[201,x] = F[4,x]
F[202,x] = F[198,x]
F[203,x] = 2*F[13,x]+F[204,x]+F[205,x]
F[204,x] = F[192,x]*F[4,x]
F[205,x] = F[206,x]*F[4,x]
F[206,x] = F[207,x]+F[208,x]
F[207,x] = F[190,x]
F[208,x] = F[204,x]
F[209,x] = F[210,x]*F[4,x]
F[210,x] = F[211,x]+F[218,x]
F[211,x] = F[185,x]+F[212,x]
F[212,x] = F[13,x]+F[213,x]+F[217,x]
F[213,x] = F[214,x]*F[4,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]+F[4,x]
F[216,x] = F[217,x]
F[217,x] = F[185,x]*F[4,x]
F[218,x] = F[192,x]+F[219,x]
F[219,x] = 2*F[13,x]+F[220,x]+F[224,x]
F[220,x] = F[221,x]*F[4,x]
F[221,x] = F[222,x]
F[222,x] = F[182,x]+F[223,x]
F[223,x] = F[224,x]
F[224,x] = F[192,x]*F[4,x]
F[225,x] = F[226,x]
F[226,x] = F[4,x]*F[58,x]*F[97,x]
F[227,x] = F[228,x]
F[228,x] = F[229,x]*F[4,x]*F[97,x]
F[229,x] = 1/F[103,x]/F[4,x]*F[230,x]
F[230,x] = F[231,x]
F[231,x] = -F[54,x]+F[73,x]
F[232,x] = F[233,x]+F[42,x]
F[233,x] = F[234,x]+F[236,x]
F[234,x] = F[235,x]
F[235,x] = F[4,x]*F[5,x]*F[97,x]
F[236,x] = F[237,x]
F[237,x] = F[238,x]*F[4,x]
F[238,x] = F[239,x]+F[241,x]
F[239,x] = F[240,x]
F[240,x] = F[44,x]*F[54,x]*F[71,x]
F[241,x] = F[242,x]
F[242,x] = F[243,x]*F[4,x]*F[97,x]
F[243,x] = 1/F[4,x]*F[244,x]
F[244,x] = F[245,x]
F[245,x] = -F[5,x]+F[54,x]
F[246,x] = F[247,x]
F[247,x] = F[248,x]*F[4,x]
F[248,x] = F[249,x]+F[253,x]
F[249,x] = F[103,x]*F[250,x]
F[250,x] = F[229,x]+F[251,x]
F[251,x] = F[252,x]
F[252,x] = F[100,x]*F[250,x]*F[4,x]
F[253,x] = F[254,x]*F[258,x]
F[254,x] = F[255,x]
F[255,x] = F[256,x]*F[4,x]
F[256,x] = 1/F[4,x]*F[257,x]
F[257,x] = F[174,x]
F[258,x] = F[259,x]+F[73,x]
F[259,x] = F[260,x]
F[260,x] = F[4,x]*F[71,x]*F[73,x]
F[261,x] = F[262,x]
F[262,x] = F[263,x]*F[4,x]
F[263,x] = 1/F[4,x]*F[264,x]
F[264,x] = F[265,x]
F[265,x] = -F[9,x]+F[266,x]
F[266,x] = F[5,x]+F[58,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{26}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{13}\! \left(x \right) = 0
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{7}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{7}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{20}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{7}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{261}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{246}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = x^{2} F_{44} \left(x \right)^{3}+2 x^{2} F_{44} \left(x \right)^{2}+x^{2} F_{44}\! \left(x \right)+x F_{44} \left(x \right)^{2}+2 x F_{44}\! \left(x \right)+x
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{40}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{227}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = F_{225}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{6}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{4}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{67}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{54}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{76}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right) F_{72}\! \left(x \right)
F_{71}\! \left(x \right) = x^{2} F_{71} \left(x \right)^{3}-x^{2} F_{71} \left(x \right)^{2}+x F_{71} \left(x \right)^{2}+1
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{75}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{41}\! \left(x \right)
F_{75}\! \left(x \right) = F_{66}\! \left(x \right)
F_{76}\! \left(x \right) = F_{73}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{175}\! \left(x \right) F_{4}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{10}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{91}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{2}\! \left(x \right)
F_{91}\! \left(x \right) = F_{160}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{88}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{4}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{111}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{88}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{71}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{103}\! \left(x \right) F_{4}\! \left(x \right)}
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{104}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{88}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{87}\! \left(x \right)
F_{110}\! \left(x \right) = F_{103}\! \left(x \right) F_{2}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{136}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{137}\! \left(x \right)
F_{116}\! \left(x \right) = F_{100}\! \left(x \right) F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{107}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{125}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{123}\! \left(x \right) = F_{105}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{103}\! \left(x \right) F_{88}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{135}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{71}\! \left(x \right)
F_{130}\! \left(x \right) = \frac{F_{131}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{100}\! \left(x \right) F_{120}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{71}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{91}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{4}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{151}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{79}\! \left(x \right)
F_{148}\! \left(x \right) = F_{133}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{88}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right) F_{71}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{133}\! \left(x \right) F_{4}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{71}\! \left(x \right)
F_{157}\! \left(x \right) = F_{154}\! \left(x \right)+F_{88}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{100}\! \left(x \right) F_{120}\! \left(x \right) F_{4}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{120}\! \left(x \right) F_{4}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{164}\! \left(x \right)
F_{163}\! \left(x \right) = F_{2}\! \left(x \right) F_{44}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{0}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{149}\! \left(x \right) F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{44}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{79}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{184}\! \left(x \right)
F_{176}\! \left(x \right) = F_{1}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{4}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{177}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{177}\! \left(x \right) F_{4}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{192}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{4}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{189}\! \left(x \right)
F_{188}\! \left(x \right) = F_{1}\! \left(x \right)+F_{185}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{185}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{13}\! \left(x \right)+F_{193}\! \left(x \right)+F_{209}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{4}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{196}\! \left(x \right)
F_{195}\! \left(x \right) = F_{177}\! \left(x \right)+F_{192}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{203}\! \left(x \right)
F_{197}\! \left(x \right) = F_{13}\! \left(x \right)+F_{198}\! \left(x \right)+F_{199}\! \left(x \right)
F_{198}\! \left(x \right) = F_{177}\! \left(x \right) F_{4}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{202}\! \left(x \right)
F_{201}\! \left(x \right) = F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{198}\! \left(x \right)
F_{203}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{4}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{208}\! \left(x \right)
F_{207}\! \left(x \right) = F_{190}\! \left(x \right)
F_{208}\! \left(x \right) = F_{204}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{218}\! \left(x \right)
F_{211}\! \left(x \right) = F_{185}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{13}\! \left(x \right)+F_{213}\! \left(x \right)+F_{217}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{4}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{4}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{185}\! \left(x \right) F_{4}\! \left(x \right)
F_{218}\! \left(x \right) = F_{192}\! \left(x \right)+F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{220}\! \left(x \right)+F_{224}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{4}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{182}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right) F_{97}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right) F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{103}\! \left(x \right) F_{4}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{73}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)+F_{42}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{236}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right) F_{97}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right) F_{4}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{241}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{44}\! \left(x \right) F_{54}\! \left(x \right) F_{71}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right) F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{243}\! \left(x \right) = \frac{F_{244}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{54}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right) F_{4}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{253}\! \left(x \right)
F_{249}\! \left(x \right) = F_{103}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{229}\! \left(x \right)+F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{100}\! \left(x \right) F_{250}\! \left(x \right) F_{4}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right) F_{258}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right) F_{4}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{257}\! \left(x \right) = F_{174}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{73}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{4}\! \left(x \right) F_{71}\! \left(x \right) F_{73}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{5}\! \left(x \right)+F_{58}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_26(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_4(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_1(x) + F_7(x))
Eq(F_11(x), F_12(x) + F_7(x))
Eq(F_12(x), F_13(x) + F_14(x) + F_21(x))
Eq(F_13(x), 0)
Eq(F_14(x), F_15(x)*F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x) + F_7(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_7(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_20(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_7(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_261(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_6(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_246(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x)/F_4(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x) - F_45(x))
Eq(F_38(x), F_39(x)/F_4(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_41(x) - F_44(x))
Eq(F_41(x), -F_0(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_4(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), x**2*(F_44(x) + 1)**3 - x*(x - 1)*(F_44(x) + 1)**2)
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_50(x) - F_52(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_40(x))
Eq(F_52(x), -F_232(x) + F_53(x))
Eq(F_53(x), F_227(x) + F_54(x))
Eq(F_54(x), F_55(x) - F_57(x))
Eq(F_55(x), F_56(x)/F_4(x))
Eq(F_56(x), F_6(x))
Eq(F_57(x), F_225(x) + F_58(x))
Eq(F_58(x), F_59(x) + F_6(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_4(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_67(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_4(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_4(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), -F_42(x) + F_54(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_4(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_76(x))
Eq(F_70(x), F_71(x)*F_72(x))
Eq(F_71(x), x**2*F_71(x)**3 - x*(x - 1)*F_71(x)**2 + 1)
Eq(F_72(x), F_73(x) + F_75(x))
Eq(F_73(x), F_74(x)/F_4(x))
Eq(F_74(x), F_41(x))
Eq(F_75(x), F_66(x))
Eq(F_76(x), F_73(x)*F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_80(x)/(F_175(x)*F_4(x)))
Eq(F_80(x), F_81(x))
Eq(F_81(x), -F_71(x) + F_82(x))
Eq(F_82(x), F_10(x) + F_83(x))
Eq(F_83(x), -F_162(x) + F_84(x))
Eq(F_84(x), F_85(x) - F_91(x))
Eq(F_85(x), F_86(x)/F_4(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), -F_44(x) + F_88(x))
Eq(F_88(x), -F_0(x) + F_89(x))
Eq(F_89(x), F_90(x)/F_4(x))
Eq(F_90(x), F_2(x))
Eq(F_91(x), F_160(x) + F_92(x))
Eq(F_92(x), F_88(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_4(x)*F_95(x))
Eq(F_95(x), F_111(x) + F_96(x))
Eq(F_96(x), F_88(x)*F_97(x))
Eq(F_97(x), F_71(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_4(x)*F_97(x))
Eq(F_100(x), F_101(x)/(F_103(x)*F_4(x)))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x) - F_71(x))
Eq(F_103(x), F_104(x)/F_0(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_4(x))
Eq(F_106(x), F_88(x))
Eq(F_107(x), F_108(x) - F_110(x))
Eq(F_108(x), F_109(x)/F_4(x))
Eq(F_109(x), F_87(x))
Eq(F_110(x), F_103(x)*F_2(x))
Eq(F_111(x), F_112(x) - F_158(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x) + F_136(x))
Eq(F_115(x), F_116(x) + F_137(x))
Eq(F_116(x), F_100(x)*F_117(x))
Eq(F_117(x), F_118(x) - F_120(x))
Eq(F_118(x), F_119(x)/F_4(x))
Eq(F_119(x), F_107(x))
Eq(F_120(x), F_121(x) + F_125(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_4(x)*F_79(x))
Eq(F_123(x), F_105(x) + F_124(x))
Eq(F_124(x), F_103(x)*F_88(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), F_128(x) + F_135(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_71(x))
Eq(F_130(x), F_131(x)/F_4(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_4(x)*F_79(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_123(x)*F_4(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_100(x)*F_120(x))
Eq(F_137(x), F_138(x)*F_71(x))
Eq(F_138(x), -F_118(x) + F_139(x))
Eq(F_139(x), F_140(x)/F_4(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x) + F_91(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x) - F_156(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_4(x))
Eq(F_146(x), F_147(x) + F_151(x))
Eq(F_147(x), F_148(x)*F_79(x))
Eq(F_148(x), F_133(x) + F_149(x))
Eq(F_149(x), F_150(x)/F_4(x))
Eq(F_150(x), F_88(x))
Eq(F_151(x), F_152(x)*F_71(x))
Eq(F_152(x), F_153(x)/F_4(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_133(x)*F_4(x))
Eq(F_156(x), F_157(x)*F_71(x))
Eq(F_157(x), F_154(x) + F_88(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_100(x)*F_120(x)*F_4(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_120(x)*F_4(x))
Eq(F_162(x), F_163(x) + F_164(x))
Eq(F_163(x), F_2(x)*F_44(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x)*F_173(x)*F_4(x))
Eq(F_166(x), F_167(x)/F_4(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x) - F_2(x))
Eq(F_169(x), -F_10(x) + F_170(x))
Eq(F_170(x), F_0(x) + F_171(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_149(x)*F_4(x))
Eq(F_173(x), F_174(x) + F_44(x))
Eq(F_174(x), -F_71(x) + F_79(x))
Eq(F_175(x), F_176(x) + F_184(x))
Eq(F_176(x), F_1(x) + F_177(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x)*F_4(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_1(x) + F_4(x))
Eq(F_181(x), F_177(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_177(x)*F_4(x))
Eq(F_184(x), F_185(x) + F_192(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_4(x))
Eq(F_187(x), F_188(x) + F_189(x))
Eq(F_188(x), F_1(x) + F_185(x))
Eq(F_189(x), F_190(x) + F_4(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_185(x)*F_4(x))
Eq(F_192(x), F_13(x) + F_193(x) + F_209(x))
Eq(F_193(x), F_194(x)*F_4(x))
Eq(F_194(x), F_195(x) + F_196(x))
Eq(F_195(x), F_177(x) + F_192(x))
Eq(F_196(x), F_197(x) + F_203(x))
Eq(F_197(x), F_13(x) + F_198(x) + F_199(x))
Eq(F_198(x), F_177(x)*F_4(x))
Eq(F_199(x), F_200(x)*F_4(x))
Eq(F_200(x), F_201(x) + F_202(x))
Eq(F_201(x), F_4(x))
Eq(F_202(x), F_198(x))
Eq(F_203(x), 2*F_13(x) + F_204(x) + F_205(x))
Eq(F_204(x), F_192(x)*F_4(x))
Eq(F_205(x), F_206(x)*F_4(x))
Eq(F_206(x), F_207(x) + F_208(x))
Eq(F_207(x), F_190(x))
Eq(F_208(x), F_204(x))
Eq(F_209(x), F_210(x)*F_4(x))
Eq(F_210(x), F_211(x) + F_218(x))
Eq(F_211(x), F_185(x) + F_212(x))
Eq(F_212(x), F_13(x) + F_213(x) + F_217(x))
Eq(F_213(x), F_214(x)*F_4(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x) + F_4(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_185(x)*F_4(x))
Eq(F_218(x), F_192(x) + F_219(x))
Eq(F_219(x), 2*F_13(x) + F_220(x) + F_224(x))
Eq(F_220(x), F_221(x)*F_4(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_182(x) + F_223(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_192(x)*F_4(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_4(x)*F_58(x)*F_97(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x)*F_4(x)*F_97(x))
Eq(F_229(x), F_230(x)/(F_103(x)*F_4(x)))
Eq(F_230(x), F_231(x))
Eq(F_231(x), -F_54(x) + F_73(x))
Eq(F_232(x), F_233(x) + F_42(x))
Eq(F_233(x), F_234(x) + F_236(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_4(x)*F_5(x)*F_97(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_238(x)*F_4(x))
Eq(F_238(x), F_239(x) + F_241(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_44(x)*F_54(x)*F_71(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x)*F_4(x)*F_97(x))
Eq(F_243(x), F_244(x)/F_4(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), -F_5(x) + F_54(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_248(x)*F_4(x))
Eq(F_248(x), F_249(x) + F_253(x))
Eq(F_249(x), F_103(x)*F_250(x))
Eq(F_250(x), F_229(x) + F_251(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_100(x)*F_250(x)*F_4(x))
Eq(F_253(x), F_254(x)*F_258(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_256(x)*F_4(x))
Eq(F_256(x), F_257(x)/F_4(x))
Eq(F_257(x), F_174(x))
Eq(F_258(x), F_259(x) + F_73(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_4(x)*F_71(x)*F_73(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_263(x)*F_4(x))
Eq(F_263(x), F_264(x)/F_4(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x) - F_9(x))
Eq(F_266(x), F_5(x) + F_58(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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "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, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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", 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[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "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": "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, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}

Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25590/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[26,x]+F[7,x]
F[7,x] = F[8,x]
F[8,x] = F[4,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[1,x]+F[7,x]
F[11,x] = F[12,x]+F[7,x]
F[12,x] = F[13,x]+F[14,x]+F[21,x]
F[13,x] = 0
F[14,x] = F[15,x]*F[4,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]+F[7,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[4,x]
F[19,x] = F[20,x]
F[20,x] = F[7,x]
F[21,x] = F[22,x]*F[4,x]
F[22,x] = F[20,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[4,x]
F[25,x] = F[7,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[29,x]+F[423,x]
F[29,x] = F[30,x]+F[6,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]+F[406,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = 1/F[4,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = -F[45,x]+F[38,x]
F[38,x] = 1/F[4,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = -F[2,x]+F[41,x]
F[41,x] = -F[44,x]+F[42,x]
F[42,x] = 1/F[4,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = 1+x^2*F[44,x]^3+(-x^2+x)*F[44,x]^2
F[45,x] = F[46,x]
F[46,x] = F[4,x]*F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[52,x]+F[50,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[40,x]
F[52,x] = -F[93,x]+F[53,x]
F[53,x] = F[54,x]+F[91,x]
F[54,x] = F[10,x]*F[55,x]
F[55,x] = F[44,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[4,x]*F[58,x]*F[80,x]
F[58,x] = 1/F[79,x]*F[59,x]
F[59,x] = -F[68,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = x*(1+F[63,x])^2*(x*F[63,x]+1)
F[64,x] = -F[2,x]+F[65,x]
F[65,x] = -F[44,x]+F[66,x]
F[66,x] = 1/F[4,x]*F[67,x]
F[67,x] = F[2,x]
F[68,x] = -F[71,x]+F[69,x]
F[69,x] = 1/F[4,x]*F[70,x]
F[70,x] = F[64,x]
F[71,x] = F[58,x]*F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[4,x]*F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[1,x]+F[4,x]
F[76,x] = F[72,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[72,x]
F[79,x] = F[1,x]+F[72,x]
F[80,x] = 1/F[4,x]/F[83,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[44,x]+F[83,x]
F[83,x] = 1/F[0,x]*F[84,x]
F[84,x] = -F[87,x]+F[85,x]
F[85,x] = 1/F[4,x]*F[86,x]
F[86,x] = F[62,x]
F[87,x] = -F[90,x]+F[88,x]
F[88,x] = 1/F[4,x]*F[89,x]
F[89,x] = F[64,x]
F[90,x] = F[2,x]*F[83,x]
F[91,x] = -F[92,x]+F[50,x]
F[92,x] = F[55,x]*F[7,x]
F[93,x] = F[94,x]+F[97,x]
F[94,x] = F[0,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[4,x]*F[5,x]*F[58,x]
F[97,x] = F[98,x]+F[99,x]
F[98,x] = F[40,x]+F[63,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[4,x]
F[101,x] = F[102,x]+F[401,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[44,x]*F[63,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[4,x]*F[106,x]
F[106,x] = F[6,x]
F[107,x] = F[108,x]+F[399,x]
F[108,x] = F[109,x]+F[6,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[4,x]
F[111,x] = F[112,x]+F[117,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = 1/F[4,x]*F[115,x]
F[115,x] = F[116,x]
F[116,x] = -F[42,x]+F[104,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[4,x]
F[119,x] = F[120,x]+F[141,x]
F[120,x] = F[121,x]*F[44,x]
F[121,x] = F[122,x]+F[124,x]
F[122,x] = F[104,x]+F[123,x]
F[123,x] = F[116,x]
F[124,x] = F[125,x]+F[133,x]
F[125,x] = F[126,x]+F[82,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[4,x]*F[83,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[7,x]*F[80,x]
F[130,x] = F[131,x]*F[7,x]
F[131,x] = F[132,x]+F[80,x]
F[132,x] = F[4,x]*F[44,x]
F[133,x] = -F[139,x]+F[134,x]
F[134,x] = -F[137,x]+F[135,x]
F[135,x] = 1/F[4,x]*F[136,x]
F[136,x] = F[40,x]
F[137,x] = F[126,x]+F[138,x]
F[138,x] = F[44,x]*F[7,x]
F[139,x] = -F[140,x]+F[104,x]
F[140,x] = F[10,x]*F[44,x]
F[141,x] = F[142,x]*F[398,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[4,x]
F[144,x] = 1/F[356,x]/F[4,x]*F[145,x]
F[145,x] = F[146,x]
F[146,x] = -F[44,x]+F[147,x]
F[147,x] = F[10,x]+F[148,x]
F[148,x] = -F[344,x]+F[149,x]
F[149,x] = -F[152,x]+F[150,x]
F[150,x] = 1/F[4,x]*F[151,x]
F[151,x] = F[64,x]
F[152,x] = F[153,x]+F[201,x]
F[153,x] = F[154,x]+F[62,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[4,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[4,x]
F[158,x] = 1/F[4,x]*F[159,x]
F[159,x] = -F[180,x]+F[160,x]
F[160,x] = 1/F[4,x]*F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]+F[62,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[4,x]
F[165,x] = F[166,x]+F[167,x]
F[166,x] = F[60,x]*F[63,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]
F[169,x] = F[170,x]*F[4,x]*F[80,x]
F[170,x] = F[171,x]+F[173,x]
F[171,x] = F[168,x]+F[172,x]
F[172,x] = F[44,x]*F[66,x]
F[173,x] = -F[176,x]+F[174,x]
F[174,x] = 1/F[4,x]*F[175,x]
F[175,x] = F[64,x]
F[176,x] = F[177,x]+F[178,x]
F[177,x] = F[2,x]*F[44,x]
F[178,x] = F[179,x]
F[179,x] = F[4,x]*F[69,x]*F[80,x]
F[180,x] = -F[185,x]+F[181,x]
F[181,x] = 1/F[4,x]*F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]
F[184,x] = F[160,x]*F[4,x]
F[185,x] = F[186,x]+F[199,x]
F[186,x] = F[187,x]+F[188,x]
F[187,x] = F[4,x]*F[58,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]*F[4,x]
F[190,x] = F[191,x]+F[195,x]
F[191,x] = F[192,x]*F[4,x]
F[192,x] = 1/F[4,x]*F[193,x]
F[193,x] = F[194,x]
F[194,x] = -F[183,x]+F[69,x]
F[195,x] = F[196,x]
F[196,x] = F[197,x]*F[4,x]*F[58,x]
F[197,x] = 1/F[4,x]*F[198,x]
F[198,x] = F[62,x]
F[199,x] = F[200,x]
F[200,x] = F[183,x]*F[4,x]
F[201,x] = F[202,x]
F[202,x] = F[203,x]*F[4,x]
F[203,x] = F[204,x]+F[264,x]
F[204,x] = F[205,x]
F[205,x] = F[206,x]*F[4,x]
F[206,x] = F[207,x]+F[231,x]
F[207,x] = F[208,x]+F[215,x]
F[208,x] = 1/F[4,x]*F[209,x]
F[209,x] = F[210,x]
F[210,x] = -F[213,x]+F[211,x]
F[211,x] = 1/F[4,x]*F[212,x]
F[212,x] = F[163,x]
F[213,x] = F[214,x]
F[214,x] = F[170,x]*F[4,x]*F[44,x]
F[215,x] = 1/F[4,x]*F[216,x]
F[216,x] = F[217,x]
F[217,x] = F[218,x]
F[218,x] = F[156,x]*F[219,x]*F[4,x]
F[219,x] = 1/F[197,x]/F[4,x]*F[220,x]
F[220,x] = F[221,x]
F[221,x] = -F[224,x]+F[222,x]
F[222,x] = 1/F[4,x]*F[223,x]
F[223,x] = F[149,x]
F[224,x] = -F[227,x]+F[225,x]
F[225,x] = 1/F[4,x]*F[226,x]
F[226,x] = F[176,x]
F[227,x] = F[228,x]
F[228,x] = F[229,x]*F[4,x]*F[80,x]
F[229,x] = 1/F[4,x]*F[230,x]
F[230,x] = F[152,x]
F[231,x] = F[232,x]
F[232,x] = 1/F[4,x]*F[233,x]
F[233,x] = F[234,x]
F[234,x] = -F[262,x]+F[235,x]
F[235,x] = F[236,x]
F[236,x] = -F[257,x]+F[237,x]
F[237,x] = 1/F[4,x]*F[238,x]
F[238,x] = F[239,x]
F[239,x] = -F[154,x]+F[240,x]
F[240,x] = F[241,x]
F[241,x] = F[242,x]*F[4,x]
F[242,x] = F[243,x]+F[247,x]
F[243,x] = F[244,x]
F[244,x] = F[144,x]*F[245,x]*F[4,x]
F[245,x] = F[246,x]+F[85,x]
F[246,x] = F[62,x]*F[83,x]
F[247,x] = F[248,x]
F[248,x] = F[249,x]*F[4,x]
F[249,x] = F[250,x]+F[255,x]
F[250,x] = F[251,x]
F[251,x] = F[252,x]*F[44,x]
F[252,x] = 1/F[4,x]*F[253,x]
F[253,x] = F[254,x]
F[254,x] = F[144,x]*F[156,x]*F[4,x]
F[255,x] = F[256,x]
F[256,x] = F[242,x]*F[80,x]
F[257,x] = F[217,x]+F[258,x]
F[258,x] = F[259,x]
F[259,x] = F[260,x]*F[4,x]*F[44,x]
F[260,x] = 1/F[4,x]*F[261,x]
F[261,x] = F[254,x]
F[262,x] = F[263,x]
F[263,x] = F[242,x]*F[4,x]*F[80,x]
F[264,x] = F[265,x]
F[265,x] = F[266,x]*F[4,x]
F[266,x] = F[267,x]+F[342,x]
F[267,x] = F[268,x]*F[44,x]
F[268,x] = F[269,x]+F[312,x]
F[269,x] = -F[310,x]+F[270,x]
F[270,x] = 1/F[4,x]*F[271,x]
F[271,x] = F[272,x]
F[272,x] = F[273,x]
F[273,x] = F[274,x]*F[4,x]
F[274,x] = 1/F[4,x]/F[44,x]*F[275,x]
F[275,x] = F[276,x]
F[276,x] = F[277,x]*F[4,x]
F[277,x] = F[278,x]+F[294,x]
F[278,x] = F[279,x]*F[44,x]
F[279,x] = -F[242,x]+F[280,x]
F[280,x] = 1/F[4,x]*F[281,x]
F[281,x] = F[282,x]
F[282,x] = F[152,x]+F[283,x]
F[283,x] = F[284,x]
F[284,x] = -F[293,x]+F[285,x]
F[285,x] = F[286,x]
F[286,x] = F[287,x]*F[4,x]
F[287,x] = F[288,x]+F[290,x]
F[288,x] = F[144,x]*F[289,x]
F[289,x] = F[156,x]+F[197,x]
F[290,x] = F[291,x]*F[44,x]
F[291,x] = 1/F[4,x]*F[292,x]
F[292,x] = F[154,x]
F[293,x] = F[153,x]*F[44,x]
F[294,x] = F[295,x]*F[298,x]
F[295,x] = -F[242,x]+F[296,x]
F[296,x] = 1/F[4,x]*F[297,x]
F[297,x] = F[87,x]
F[298,x] = 1/F[7,x]*F[299,x]
F[299,x] = -F[307,x]+F[300,x]
F[300,x] = F[301,x]
F[301,x] = -F[305,x]+F[302,x]
F[302,x] = 1/F[4,x]/F[58,x]*F[303,x]
F[303,x] = F[304,x]
F[304,x] = -F[139,x]+F[91,x]
F[305,x] = 1/F[4,x]/F[83,x]*F[306,x]
F[306,x] = F[133,x]
F[307,x] = F[308,x]*F[44,x]
F[308,x] = F[309,x]+F[7,x]
F[309,x] = F[4,x]*F[7,x]
F[310,x] = F[311,x]
F[311,x] = F[158,x]*F[4,x]*F[44,x]
F[312,x] = 1/F[4,x]*F[313,x]
F[313,x] = F[314,x]
F[314,x] = -F[331,x]+F[315,x]
F[315,x] = F[316,x]+F[325,x]
F[316,x] = F[317,x]+F[324,x]
F[317,x] = F[318,x]
F[318,x] = F[319,x]*F[4,x]
F[319,x] = F[279,x]+F[320,x]
F[320,x] = F[321,x]
F[321,x] = F[322,x]*F[44,x]
F[322,x] = F[323,x]
F[323,x] = F[245,x]*F[4,x]
F[324,x] = F[240,x]
F[325,x] = F[326,x]
F[326,x] = F[327,x]*F[4,x]
F[327,x] = F[328,x]+F[334,x]
F[328,x] = 1/F[4,x]*F[329,x]
F[329,x] = F[330,x]
F[330,x] = -F[317,x]+F[331,x]
F[331,x] = F[272,x]+F[332,x]
F[332,x] = F[333,x]
F[333,x] = F[154,x]*F[44,x]
F[334,x] = 1/F[44,x]*F[335,x]
F[335,x] = -F[338,x]+F[336,x]
F[336,x] = 1/F[4,x]*F[337,x]
F[337,x] = F[247,x]
F[338,x] = F[339,x]+F[340,x]
F[339,x] = F[251,x]
F[340,x] = F[341,x]
F[341,x] = F[242,x]*F[44,x]
F[342,x] = F[343,x]
F[343,x] = F[260,x]*F[44,x]
F[344,x] = F[345,x]+F[346,x]
F[345,x] = F[2,x]*F[63,x]
F[346,x] = F[347,x]
F[347,x] = F[348,x]*F[353,x]*F[4,x]
F[348,x] = 1/F[4,x]*F[349,x]
F[349,x] = F[350,x]
F[350,x] = -F[7,x]+F[351,x]
F[351,x] = F[352,x]
F[352,x] = F[197,x]*F[4,x]
F[353,x] = F[354,x]+F[63,x]
F[354,x] = F[355,x]
F[355,x] = -F[44,x]+F[144,x]
F[356,x] = F[357,x]+F[79,x]
F[357,x] = F[358,x]+F[365,x]
F[358,x] = F[359,x]
F[359,x] = F[360,x]*F[4,x]
F[360,x] = F[361,x]+F[362,x]
F[361,x] = F[1,x]+F[358,x]
F[362,x] = F[363,x]+F[4,x]
F[363,x] = F[364,x]
F[364,x] = F[358,x]*F[4,x]
F[365,x] = F[13,x]+F[366,x]+F[382,x]
F[366,x] = F[367,x]*F[4,x]
F[367,x] = F[368,x]+F[369,x]
F[368,x] = F[365,x]+F[72,x]
F[369,x] = F[370,x]+F[376,x]
F[370,x] = F[13,x]+F[371,x]+F[372,x]
F[371,x] = F[4,x]*F[72,x]
F[372,x] = F[373,x]*F[4,x]
F[373,x] = F[374,x]+F[375,x]
F[374,x] = F[4,x]
F[375,x] = F[371,x]
F[376,x] = 2*F[13,x]+F[377,x]+F[378,x]
F[377,x] = F[365,x]*F[4,x]
F[378,x] = F[379,x]*F[4,x]
F[379,x] = F[380,x]+F[381,x]
F[380,x] = F[363,x]
F[381,x] = F[377,x]
F[382,x] = F[383,x]*F[4,x]
F[383,x] = F[384,x]+F[391,x]
F[384,x] = F[358,x]+F[385,x]
F[385,x] = F[13,x]+F[386,x]+F[390,x]
F[386,x] = F[387,x]*F[4,x]
F[387,x] = F[388,x]
F[388,x] = F[389,x]+F[4,x]
F[389,x] = F[390,x]
F[390,x] = F[358,x]*F[4,x]
F[391,x] = F[365,x]+F[392,x]
F[392,x] = 2*F[13,x]+F[393,x]+F[397,x]
F[393,x] = F[394,x]*F[4,x]
F[394,x] = F[395,x]
F[395,x] = F[396,x]+F[77,x]
F[396,x] = F[397,x]
F[397,x] = F[365,x]*F[4,x]
F[398,x] = F[104,x]+F[124,x]
F[399,x] = F[400,x]
F[400,x] = F[108,x]*F[4,x]*F[58,x]
F[401,x] = F[402,x]
F[402,x] = F[4,x]*F[403,x]*F[58,x]
F[403,x] = 1/F[4,x]*F[404,x]
F[404,x] = F[405,x]
F[405,x] = -F[5,x]+F[104,x]
F[406,x] = F[407,x]
F[407,x] = F[4,x]*F[408,x]
F[408,x] = F[409,x]+F[415,x]
F[409,x] = F[410,x]*F[83,x]
F[410,x] = F[411,x]+F[413,x]
F[411,x] = 1/F[4,x]/F[83,x]*F[412,x]
F[412,x] = F[124,x]
F[413,x] = F[414,x]
F[414,x] = F[4,x]*F[410,x]*F[80,x]
F[415,x] = F[416,x]*F[420,x]
F[416,x] = F[417,x]
F[417,x] = F[4,x]*F[418,x]
F[418,x] = 1/F[4,x]*F[419,x]
F[419,x] = F[354,x]
F[420,x] = F[398,x]+F[421,x]
F[421,x] = F[422,x]
F[422,x] = F[398,x]*F[4,x]*F[44,x]
F[423,x] = F[424,x]
F[424,x] = F[4,x]*F[425,x]
F[425,x] = 1/F[4,x]*F[426,x]
F[426,x] = F[427,x]
F[427,x] = -F[9,x]+F[428,x]
F[428,x] = F[108,x]+F[5,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{26}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{13}\! \left(x \right) = 0
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{7}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{7}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{20}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{7}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{423}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{406}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = x^{2} F_{44} \left(x \right)^{3}-x^{2} F_{44} \left(x \right)^{2}+x F_{44} \left(x \right)^{2}+1
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{40}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{91}\! \left(x \right)
F_{54}\! \left(x \right) = F_{10}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{44}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right) F_{80}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{79}\! \left(x \right)}
F_{59}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = x^{2} F_{63} \left(x \right)^{3}+2 x^{2} F_{63} \left(x \right)^{2}+x^{2} F_{63}\! \left(x \right)+x F_{63} \left(x \right)^{2}+2 x F_{63}\! \left(x \right)+x
F_{64}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{2}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{64}\! \left(x \right)
F_{71}\! \left(x \right) = F_{58}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{76}\! \left(x \right) = F_{72}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{79}\! \left(x \right) = F_{1}\! \left(x \right)+F_{72}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{4}\! \left(x \right) F_{83}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{84}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{62}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{90}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{64}\! \left(x \right)
F_{90}\! \left(x \right) = F_{2}\! \left(x \right) F_{83}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{92}\! \left(x \right)+F_{50}\! \left(x \right)
F_{92}\! \left(x \right) = F_{55}\! \left(x \right) F_{7}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{97}\! \left(x \right)
F_{94}\! \left(x \right) = F_{0}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right) F_{58}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{40}\! \left(x \right)+F_{63}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{4}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{401}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{44}\! \left(x \right) F_{63}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{6}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{399}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{6}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{117}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{104}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{4}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{141}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{44}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{124}\! \left(x \right)
F_{122}\! \left(x \right) = F_{104}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{116}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{133}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{82}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{7}\! \left(x \right) F_{80}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{7}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{80}\! \left(x \right)
F_{132}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{40}\! \left(x \right)
F_{137}\! \left(x \right) = F_{126}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{44}\! \left(x \right) F_{7}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{104}\! \left(x \right)
F_{140}\! \left(x \right) = F_{10}\! \left(x \right) F_{44}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{398}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{4}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{145}\! \left(x \right)}{F_{356}\! \left(x \right) F_{4}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{10}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{344}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = -F_{152}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{151}\! \left(x \right) = F_{64}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{201}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{62}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{4}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{159}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{62}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{167}\! \left(x \right)
F_{166}\! \left(x \right) = F_{60}\! \left(x \right) F_{63}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{173}\! \left(x \right)
F_{171}\! \left(x \right) = F_{168}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{44}\! \left(x \right) F_{66}\! \left(x \right)
F_{173}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{175}\! \left(x \right) = F_{64}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{178}\! \left(x \right)
F_{177}\! \left(x \right) = F_{2}\! \left(x \right) F_{44}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right) F_{80}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = \frac{F_{182}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{160}\! \left(x \right) F_{4}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{199}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{188}\! \left(x \right)
F_{187}\! \left(x \right) = F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{195}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = \frac{F_{193}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{69}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{197}\! \left(x \right) = \frac{F_{198}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{198}\! \left(x \right) = F_{62}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{183}\! \left(x \right) F_{4}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{4}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{264}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{4}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{231}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{215}\! \left(x \right)
F_{208}\! \left(x \right) = \frac{F_{209}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = \frac{F_{212}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{212}\! \left(x \right) = F_{163}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{170}\! \left(x \right) F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{215}\! \left(x \right) = \frac{F_{216}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{156}\! \left(x \right) F_{219}\! \left(x \right) F_{4}\! \left(x \right)
F_{219}\! \left(x \right) = \frac{F_{220}\! \left(x \right)}{F_{197}\! \left(x \right) F_{4}\! \left(x \right)}
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = \frac{F_{223}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{223}\! \left(x \right) = F_{149}\! \left(x \right)
F_{224}\! \left(x \right) = -F_{227}\! \left(x \right)+F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{226}\! \left(x \right) = F_{176}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right) F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{152}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = \frac{F_{233}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = -F_{262}\! \left(x \right)+F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = \frac{F_{238}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right) F_{4}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{247}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{144}\! \left(x \right) F_{245}\! \left(x \right) F_{4}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{85}\! \left(x \right)
F_{246}\! \left(x \right) = F_{62}\! \left(x \right) F_{83}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right) F_{4}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{255}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{44}\! \left(x \right)
F_{252}\! \left(x \right) = \frac{F_{253}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{144}\! \left(x \right) F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{242}\! \left(x \right) F_{80}\! \left(x \right)
F_{257}\! \left(x \right) = F_{217}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right) F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{260}\! \left(x \right) = \frac{F_{261}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{261}\! \left(x \right) = F_{254}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{242}\! \left(x \right) F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right) F_{4}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{342}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right) F_{44}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{312}\! \left(x \right)
F_{269}\! \left(x \right) = -F_{310}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right) F_{4}\! \left(x \right)
F_{274}\! \left(x \right) = \frac{F_{275}\! \left(x \right)}{F_{4}\! \left(x \right) F_{44}\! \left(x \right)}
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right) F_{4}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{294}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right) F_{44}\! \left(x \right)
F_{279}\! \left(x \right) = -F_{242}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = \frac{F_{281}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{152}\! \left(x \right)+F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right) F_{4}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{290}\! \left(x \right)
F_{288}\! \left(x \right) = F_{144}\! \left(x \right) F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{156}\! \left(x \right)+F_{197}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right) F_{44}\! \left(x \right)
F_{291}\! \left(x \right) = \frac{F_{292}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{292}\! \left(x \right) = F_{154}\! \left(x \right)
F_{293}\! \left(x \right) = F_{153}\! \left(x \right) F_{44}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right) F_{298}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{242}\! \left(x \right)+F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = \frac{F_{297}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{297}\! \left(x \right) = F_{87}\! \left(x \right)
F_{298}\! \left(x \right) = \frac{F_{299}\! \left(x \right)}{F_{7}\! \left(x \right)}
F_{299}\! \left(x \right) = -F_{307}\! \left(x \right)+F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = -F_{305}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = \frac{F_{303}\! \left(x \right)}{F_{4}\! \left(x \right) F_{58}\! \left(x \right)}
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{91}\! \left(x \right)
F_{305}\! \left(x \right) = \frac{F_{306}\! \left(x \right)}{F_{4}\! \left(x \right) F_{83}\! \left(x \right)}
F_{306}\! \left(x \right) = F_{133}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right) F_{44}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{7}\! \left(x \right)
F_{309}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{158}\! \left(x \right) F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{312}\! \left(x \right) = \frac{F_{313}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)+F_{325}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{324}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right) F_{4}\! \left(x \right)
F_{319}\! \left(x \right) = F_{279}\! \left(x \right)+F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right) F_{44}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{245}\! \left(x \right) F_{4}\! \left(x \right)
F_{324}\! \left(x \right) = F_{240}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right) F_{4}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)+F_{334}\! \left(x \right)
F_{328}\! \left(x \right) = \frac{F_{329}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = -F_{317}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{272}\! \left(x \right)+F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{154}\! \left(x \right) F_{44}\! \left(x \right)
F_{334}\! \left(x \right) = \frac{F_{335}\! \left(x \right)}{F_{44}\! \left(x \right)}
F_{335}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = \frac{F_{337}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{337}\! \left(x \right) = F_{247}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{340}\! \left(x \right)
F_{339}\! \left(x \right) = F_{251}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{242}\! \left(x \right) F_{44}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{260}\! \left(x \right) F_{44}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{346}\! \left(x \right)
F_{345}\! \left(x \right) = F_{2}\! \left(x \right) F_{63}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right) F_{353}\! \left(x \right) F_{4}\! \left(x \right)
F_{348}\! \left(x \right) = \frac{F_{349}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = -F_{7}\! \left(x \right)+F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{197}\! \left(x \right) F_{4}\! \left(x \right)
F_{353}\! \left(x \right) = F_{354}\! \left(x \right)+F_{63}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{144}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)+F_{79}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{365}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{360}\! \left(x \right) F_{4}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{362}\! \left(x \right)
F_{361}\! \left(x \right) = F_{1}\! \left(x \right)+F_{358}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right)+F_{4}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{358}\! \left(x \right) F_{4}\! \left(x \right)
F_{365}\! \left(x \right) = F_{13}\! \left(x \right)+F_{366}\! \left(x \right)+F_{382}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right) F_{4}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)+F_{369}\! \left(x \right)
F_{368}\! \left(x \right) = F_{365}\! \left(x \right)+F_{72}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{376}\! \left(x \right)
F_{370}\! \left(x \right) = F_{13}\! \left(x \right)+F_{371}\! \left(x \right)+F_{372}\! \left(x \right)
F_{371}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right) F_{4}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{375}\! \left(x \right)
F_{374}\! \left(x \right) = F_{4}\! \left(x \right)
F_{375}\! \left(x \right) = F_{371}\! \left(x \right)
F_{376}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{377}\! \left(x \right)+F_{378}\! \left(x \right)
F_{377}\! \left(x \right) = F_{365}\! \left(x \right) F_{4}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right) F_{4}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{381}\! \left(x \right)
F_{380}\! \left(x \right) = F_{363}\! \left(x \right)
F_{381}\! \left(x \right) = F_{377}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right) F_{4}\! \left(x \right)
F_{383}\! \left(x \right) = F_{384}\! \left(x \right)+F_{391}\! \left(x \right)
F_{384}\! \left(x \right) = F_{358}\! \left(x \right)+F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{13}\! \left(x \right)+F_{386}\! \left(x \right)+F_{390}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right) F_{4}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)+F_{4}\! \left(x \right)
F_{389}\! \left(x \right) = F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{358}\! \left(x \right) F_{4}\! \left(x \right)
F_{391}\! \left(x \right) = F_{365}\! \left(x \right)+F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{393}\! \left(x \right)+F_{397}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right) F_{4}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{77}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{365}\! \left(x \right) F_{4}\! \left(x \right)
F_{398}\! \left(x \right) = F_{104}\! \left(x \right)+F_{124}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{108}\! \left(x \right) F_{4}\! \left(x \right) F_{58}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{4}\! \left(x \right) F_{403}\! \left(x \right) F_{58}\! \left(x \right)
F_{403}\! \left(x \right) = \frac{F_{404}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)
F_{405}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{104}\! \left(x \right)
F_{406}\! \left(x \right) = F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{4}\! \left(x \right) F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)+F_{415}\! \left(x \right)
F_{409}\! \left(x \right) = F_{410}\! \left(x \right) F_{83}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{413}\! \left(x \right)
F_{411}\! \left(x \right) = \frac{F_{412}\! \left(x \right)}{F_{4}\! \left(x \right) F_{83}\! \left(x \right)}
F_{412}\! \left(x \right) = F_{124}\! \left(x \right)
F_{413}\! \left(x \right) = F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{4}\! \left(x \right) F_{410}\! \left(x \right) F_{80}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right) F_{420}\! \left(x \right)
F_{416}\! \left(x \right) = F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = F_{4}\! \left(x \right) F_{418}\! \left(x \right)
F_{418}\! \left(x \right) = \frac{F_{419}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{419}\! \left(x \right) = F_{354}\! \left(x \right)
F_{420}\! \left(x \right) = F_{398}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = F_{398}\! \left(x \right) F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = F_{4}\! \left(x \right) F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = \frac{F_{426}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{426}\! \left(x \right) = F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{428}\! \left(x \right)
F_{428}\! \left(x \right) = F_{108}\! \left(x \right)+F_{5}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_26(x) + F_7(x))
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_4(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_1(x) + F_7(x))
Eq(F_11(x), F_12(x) + F_7(x))
Eq(F_12(x), F_13(x) + F_14(x) + F_21(x))
Eq(F_13(x), 0)
Eq(F_14(x), F_15(x)*F_4(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x) + F_7(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_7(x))
Eq(F_21(x), F_22(x)*F_4(x))
Eq(F_22(x), F_20(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_4(x))
Eq(F_25(x), F_7(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_29(x) + F_423(x))
Eq(F_29(x), F_30(x) + F_6(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x) + F_406(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x)/F_4(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x) - F_45(x))
Eq(F_38(x), F_39(x)/F_4(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), -F_2(x) + F_41(x))
Eq(F_41(x), F_42(x) - F_44(x))
Eq(F_42(x), F_43(x)/F_4(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), x**2*F_44(x)**3 - x*(x - 1)*F_44(x)**2 + 1)
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_4(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_50(x) - F_52(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_40(x))
Eq(F_52(x), F_53(x) - F_93(x))
Eq(F_53(x), F_54(x) + F_91(x))
Eq(F_54(x), F_10(x)*F_55(x))
Eq(F_55(x), F_44(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_4(x)*F_58(x)*F_80(x))
Eq(F_58(x), F_59(x)/F_79(x))
Eq(F_59(x), F_60(x) - F_68(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), x**2*(F_63(x) + 1)**3 - x*(x - 1)*(F_63(x) + 1)**2)
Eq(F_64(x), -F_2(x) + F_65(x))
Eq(F_65(x), -F_44(x) + F_66(x))
Eq(F_66(x), F_67(x)/F_4(x))
Eq(F_67(x), F_2(x))
Eq(F_68(x), F_69(x) - F_71(x))
Eq(F_69(x), F_70(x)/F_4(x))
Eq(F_70(x), F_64(x))
Eq(F_71(x), F_58(x)*F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_4(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_1(x) + F_4(x))
Eq(F_76(x), F_72(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_72(x))
Eq(F_79(x), F_1(x) + F_72(x))
Eq(F_80(x), F_81(x)/(F_4(x)*F_83(x)))
Eq(F_81(x), F_82(x))
Eq(F_82(x), -F_44(x) + F_83(x))
Eq(F_83(x), F_84(x)/F_0(x))
Eq(F_84(x), F_85(x) - F_87(x))
Eq(F_85(x), F_86(x)/F_4(x))
Eq(F_86(x), F_62(x))
Eq(F_87(x), F_88(x) - F_90(x))
Eq(F_88(x), F_89(x)/F_4(x))
Eq(F_89(x), F_64(x))
Eq(F_90(x), F_2(x)*F_83(x))
Eq(F_91(x), F_50(x) - F_92(x))
Eq(F_92(x), F_55(x)*F_7(x))
Eq(F_93(x), F_94(x) + F_97(x))
Eq(F_94(x), F_0(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_4(x)*F_5(x)*F_58(x))
Eq(F_97(x), F_98(x) + F_99(x))
Eq(F_98(x), F_40(x) + F_63(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_4(x))
Eq(F_101(x), F_102(x) + F_401(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_44(x)*F_63(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_4(x))
Eq(F_106(x), F_6(x))
Eq(F_107(x), F_108(x) + F_399(x))
Eq(F_108(x), F_109(x) + F_6(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_4(x))
Eq(F_111(x), F_112(x) + F_117(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x)/F_4(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_104(x) - F_42(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_4(x))
Eq(F_119(x), F_120(x) + F_141(x))
Eq(F_120(x), F_121(x)*F_44(x))
Eq(F_121(x), F_122(x) + F_124(x))
Eq(F_122(x), F_104(x) + F_123(x))
Eq(F_123(x), F_116(x))
Eq(F_124(x), F_125(x) + F_133(x))
Eq(F_125(x), F_126(x) + F_82(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_4(x)*F_83(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_7(x)*F_80(x))
Eq(F_130(x), F_131(x)*F_7(x))
Eq(F_131(x), F_132(x) + F_80(x))
Eq(F_132(x), F_4(x)*F_44(x))
Eq(F_133(x), F_134(x) - F_139(x))
Eq(F_134(x), F_135(x) - F_137(x))
Eq(F_135(x), F_136(x)/F_4(x))
Eq(F_136(x), F_40(x))
Eq(F_137(x), F_126(x) + F_138(x))
Eq(F_138(x), F_44(x)*F_7(x))
Eq(F_139(x), F_104(x) - F_140(x))
Eq(F_140(x), F_10(x)*F_44(x))
Eq(F_141(x), F_142(x)*F_398(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_4(x))
Eq(F_144(x), F_145(x)/(F_356(x)*F_4(x)))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x) - F_44(x))
Eq(F_147(x), F_10(x) + F_148(x))
Eq(F_148(x), F_149(x) - F_344(x))
Eq(F_149(x), F_150(x) - F_152(x))
Eq(F_150(x), F_151(x)/F_4(x))
Eq(F_151(x), F_64(x))
Eq(F_152(x), F_153(x) + F_201(x))
Eq(F_153(x), F_154(x) + F_62(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_4(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_4(x))
Eq(F_158(x), F_159(x)/F_4(x))
Eq(F_159(x), F_160(x) - F_180(x))
Eq(F_160(x), F_161(x)/F_4(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x) + F_62(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_4(x))
Eq(F_165(x), F_166(x) + F_167(x))
Eq(F_166(x), F_60(x)*F_63(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x)*F_4(x)*F_80(x))
Eq(F_170(x), F_171(x) + F_173(x))
Eq(F_171(x), F_168(x) + F_172(x))
Eq(F_172(x), F_44(x)*F_66(x))
Eq(F_173(x), F_174(x) - F_176(x))
Eq(F_174(x), F_175(x)/F_4(x))
Eq(F_175(x), F_64(x))
Eq(F_176(x), F_177(x) + F_178(x))
Eq(F_177(x), F_2(x)*F_44(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_4(x)*F_69(x)*F_80(x))
Eq(F_180(x), F_181(x) - F_185(x))
Eq(F_181(x), F_182(x)/F_4(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_160(x)*F_4(x))
Eq(F_185(x), F_186(x) + F_199(x))
Eq(F_186(x), F_187(x) + F_188(x))
Eq(F_187(x), F_4(x)*F_58(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x)*F_4(x))
Eq(F_190(x), F_191(x) + F_195(x))
Eq(F_191(x), F_192(x)*F_4(x))
Eq(F_192(x), F_193(x)/F_4(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), -F_183(x) + F_69(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_197(x)*F_4(x)*F_58(x))
Eq(F_197(x), F_198(x)/F_4(x))
Eq(F_198(x), F_62(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_183(x)*F_4(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x)*F_4(x))
Eq(F_203(x), F_204(x) + F_264(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_206(x)*F_4(x))
Eq(F_206(x), F_207(x) + F_231(x))
Eq(F_207(x), F_208(x) + F_215(x))
Eq(F_208(x), F_209(x)/F_4(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_211(x) - F_213(x))
Eq(F_211(x), F_212(x)/F_4(x))
Eq(F_212(x), F_163(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_170(x)*F_4(x)*F_44(x))
Eq(F_215(x), F_216(x)/F_4(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_156(x)*F_219(x)*F_4(x))
Eq(F_219(x), F_220(x)/(F_197(x)*F_4(x)))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_222(x) - F_224(x))
Eq(F_222(x), F_223(x)/F_4(x))
Eq(F_223(x), F_149(x))
Eq(F_224(x), F_225(x) - F_227(x))
Eq(F_225(x), F_226(x)/F_4(x))
Eq(F_226(x), F_176(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x)*F_4(x)*F_80(x))
Eq(F_229(x), F_230(x)/F_4(x))
Eq(F_230(x), F_152(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x)/F_4(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_235(x) - F_262(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_237(x) - F_257(x))
Eq(F_237(x), F_238(x)/F_4(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), -F_154(x) + F_240(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_242(x)*F_4(x))
Eq(F_242(x), F_243(x) + F_247(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_144(x)*F_245(x)*F_4(x))
Eq(F_245(x), F_246(x) + F_85(x))
Eq(F_246(x), F_62(x)*F_83(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_249(x)*F_4(x))
Eq(F_249(x), F_250(x) + F_255(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_252(x)*F_44(x))
Eq(F_252(x), F_253(x)/F_4(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_144(x)*F_156(x)*F_4(x))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_242(x)*F_80(x))
Eq(F_257(x), F_217(x) + F_258(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_260(x)*F_4(x)*F_44(x))
Eq(F_260(x), F_261(x)/F_4(x))
Eq(F_261(x), F_254(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_242(x)*F_4(x)*F_80(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_266(x)*F_4(x))
Eq(F_266(x), F_267(x) + F_342(x))
Eq(F_267(x), F_268(x)*F_44(x))
Eq(F_268(x), F_269(x) + F_312(x))
Eq(F_269(x), F_270(x) - F_310(x))
Eq(F_270(x), F_271(x)/F_4(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_274(x)*F_4(x))
Eq(F_274(x), F_275(x)/(F_4(x)*F_44(x)))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_277(x)*F_4(x))
Eq(F_277(x), F_278(x) + F_294(x))
Eq(F_278(x), F_279(x)*F_44(x))
Eq(F_279(x), -F_242(x) + F_280(x))
Eq(F_280(x), F_281(x)/F_4(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_152(x) + F_283(x))
Eq(F_283(x), F_284(x))
Eq(F_284(x), F_285(x) - F_293(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_287(x)*F_4(x))
Eq(F_287(x), F_288(x) + F_290(x))
Eq(F_288(x), F_144(x)*F_289(x))
Eq(F_289(x), F_156(x) + F_197(x))
Eq(F_290(x), F_291(x)*F_44(x))
Eq(F_291(x), F_292(x)/F_4(x))
Eq(F_292(x), F_154(x))
Eq(F_293(x), F_153(x)*F_44(x))
Eq(F_294(x), F_295(x)*F_298(x))
Eq(F_295(x), -F_242(x) + F_296(x))
Eq(F_296(x), F_297(x)/F_4(x))
Eq(F_297(x), F_87(x))
Eq(F_298(x), F_299(x)/F_7(x))
Eq(F_299(x), F_300(x) - F_307(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_302(x) - F_305(x))
Eq(F_302(x), F_303(x)/(F_4(x)*F_58(x)))
Eq(F_303(x), F_304(x))
Eq(F_304(x), -F_139(x) + F_91(x))
Eq(F_305(x), F_306(x)/(F_4(x)*F_83(x)))
Eq(F_306(x), F_133(x))
Eq(F_307(x), F_308(x)*F_44(x))
Eq(F_308(x), F_309(x) + F_7(x))
Eq(F_309(x), F_4(x)*F_7(x))
Eq(F_310(x), F_311(x))
Eq(F_311(x), F_158(x)*F_4(x)*F_44(x))
Eq(F_312(x), F_313(x)/F_4(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_315(x) - F_331(x))
Eq(F_315(x), F_316(x) + F_325(x))
Eq(F_316(x), F_317(x) + F_324(x))
Eq(F_317(x), F_318(x))
Eq(F_318(x), F_319(x)*F_4(x))
Eq(F_319(x), F_279(x) + F_320(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_322(x)*F_44(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_245(x)*F_4(x))
Eq(F_324(x), F_240(x))
Eq(F_325(x), F_326(x))
Eq(F_326(x), F_327(x)*F_4(x))
Eq(F_327(x), F_328(x) + F_334(x))
Eq(F_328(x), F_329(x)/F_4(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), -F_317(x) + F_331(x))
Eq(F_331(x), F_272(x) + F_332(x))
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_154(x)*F_44(x))
Eq(F_334(x), F_335(x)/F_44(x))
Eq(F_335(x), F_336(x) - F_338(x))
Eq(F_336(x), F_337(x)/F_4(x))
Eq(F_337(x), F_247(x))
Eq(F_338(x), F_339(x) + F_340(x))
Eq(F_339(x), F_251(x))
Eq(F_340(x), F_341(x))
Eq(F_341(x), F_242(x)*F_44(x))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_260(x)*F_44(x))
Eq(F_344(x), F_345(x) + F_346(x))
Eq(F_345(x), F_2(x)*F_63(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), F_348(x)*F_353(x)*F_4(x))
Eq(F_348(x), F_349(x)/F_4(x))
Eq(F_349(x), F_350(x))
Eq(F_350(x), F_351(x) - F_7(x))
Eq(F_351(x), F_352(x))
Eq(F_352(x), F_197(x)*F_4(x))
Eq(F_353(x), F_354(x) + F_63(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_144(x) - F_44(x))
Eq(F_356(x), F_357(x) + F_79(x))
Eq(F_357(x), F_358(x) + F_365(x))
Eq(F_358(x), F_359(x))
Eq(F_359(x), F_360(x)*F_4(x))
Eq(F_360(x), F_361(x) + F_362(x))
Eq(F_361(x), F_1(x) + F_358(x))
Eq(F_362(x), F_363(x) + F_4(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), F_358(x)*F_4(x))
Eq(F_365(x), F_13(x) + F_366(x) + F_382(x))
Eq(F_366(x), F_367(x)*F_4(x))
Eq(F_367(x), F_368(x) + F_369(x))
Eq(F_368(x), F_365(x) + F_72(x))
Eq(F_369(x), F_370(x) + F_376(x))
Eq(F_370(x), F_13(x) + F_371(x) + F_372(x))
Eq(F_371(x), F_4(x)*F_72(x))
Eq(F_372(x), F_373(x)*F_4(x))
Eq(F_373(x), F_374(x) + F_375(x))
Eq(F_374(x), F_4(x))
Eq(F_375(x), F_371(x))
Eq(F_376(x), 2*F_13(x) + F_377(x) + F_378(x))
Eq(F_377(x), F_365(x)*F_4(x))
Eq(F_378(x), F_379(x)*F_4(x))
Eq(F_379(x), F_380(x) + F_381(x))
Eq(F_380(x), F_363(x))
Eq(F_381(x), F_377(x))
Eq(F_382(x), F_383(x)*F_4(x))
Eq(F_383(x), F_384(x) + F_391(x))
Eq(F_384(x), F_358(x) + F_385(x))
Eq(F_385(x), F_13(x) + F_386(x) + F_390(x))
Eq(F_386(x), F_387(x)*F_4(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_389(x) + F_4(x))
Eq(F_389(x), F_390(x))
Eq(F_390(x), F_358(x)*F_4(x))
Eq(F_391(x), F_365(x) + F_392(x))
Eq(F_392(x), 2*F_13(x) + F_393(x) + F_397(x))
Eq(F_393(x), F_394(x)*F_4(x))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x) + F_77(x))
Eq(F_396(x), F_397(x))
Eq(F_397(x), F_365(x)*F_4(x))
Eq(F_398(x), F_104(x) + F_124(x))
Eq(F_399(x), F_400(x))
Eq(F_400(x), F_108(x)*F_4(x)*F_58(x))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_4(x)*F_403(x)*F_58(x))
Eq(F_403(x), F_404(x)/F_4(x))
Eq(F_404(x), F_405(x))
Eq(F_405(x), F_104(x) - F_5(x))
Eq(F_406(x), F_407(x))
Eq(F_407(x), F_4(x)*F_408(x))
Eq(F_408(x), F_409(x) + F_415(x))
Eq(F_409(x), F_410(x)*F_83(x))
Eq(F_410(x), F_411(x) + F_413(x))
Eq(F_411(x), F_412(x)/(F_4(x)*F_83(x)))
Eq(F_412(x), F_124(x))
Eq(F_413(x), F_414(x))
Eq(F_414(x), F_4(x)*F_410(x)*F_80(x))
Eq(F_415(x), F_416(x)*F_420(x))
Eq(F_416(x), F_417(x))
Eq(F_417(x), F_4(x)*F_418(x))
Eq(F_418(x), F_419(x)/F_4(x))
Eq(F_419(x), F_354(x))
Eq(F_420(x), F_398(x) + F_421(x))
Eq(F_421(x), F_422(x))
Eq(F_422(x), F_398(x)*F_4(x)*F_44(x))
Eq(F_423(x), F_424(x))
Eq(F_424(x), F_4(x)*F_425(x))
Eq(F_425(x), F_426(x)/F_4(x))
Eq(F_426(x), F_427(x))
Eq(F_427(x), F_428(x) - F_9(x))
Eq(F_428(x), F_108(x) + F_5(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, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [2, 0, 3, 1, 4], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1]], "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, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", 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