02341_03241_03412_03421_30241_30412_30421

Counting sequence:
1, 1, 2, 6, 24, 113, 581, 3143, 17578, 100725, 588194, 3487768, 20944463, 127118563, 778541127, 4805536490, 29864135318, 186700678200, 1173361517988, 7408980909601, 46980224453696, 299034977409446, 1909961975092575, 12237410691237544, 78632096802044895, 506586324660670764, 3271600128758675532, 21175820289967113107, 137348024702056501641, 892571760191216807097, 5810925567065629012048, 37894612219158276863109, 247510180296403316018580, 1619011316118934236561627, 10604971135706793767077602, 69556354304074029632390565, 456772285051962986584894306, 3003093407314593099809946722, 19765918954579047627195944463, 130232472100240682289073268829, 858919764266353779251786143586, 5670163640365331649456719703627, 37465235755435263304256591457320, 247760931567603069633783464075523, 1639802446511771600526239518277041, 10861470151140547919845857368285760, 71996131134969509968714534132047561, 477572398741887525785920475886589142, 3170047173180877671988709435178454703, 21056026644601124580219530911140053050, 139945776745075337104996669777853721732, 930689952548263177351388847469758106294, 6193011881557841848530315608013125162548, 41232612307851223159387575051211667146273, 274670974173572319158647023429796605322301, 1830665916049361799046874698117274651026372, 12207359358698355427003949514290049834209633, 81440980799641787419882904658481650132782912, 543582692865254426144488541927265739276515922, 3629800092357164070070679958422999902896469345, 24248657810849610830971682845231696624829789372, 162059460548217525213275517629952408852835337137, 1083519767689894410769583997433232915620095404344, 7247186197302218237196988219239882546224044860696, 48491627649933371099439480522020788811458941699544, 324581488054021689617132769900151037476813511630628, 2173379125634460692122933015707934078570070352519962, 14557853091396439852390655718593692778743594325961075, 97544955360691761268946429045400016878465838060411318, 653813189258790772660736286277210388787408753407149247, 4383690110552221858503580013917750509267866940449769180, 29400818258895038524048540081239284415649878047670289346, 197246204418846987155921063326078366378781498932320025262, 1323682949918770902695451286016163864611287247969838636186, 8885501424496373953944293330653692314025787094427892765986, 59662198815806813987514501138645792133450909045430590399348, 400712371254642654004585621156865514134394660221548806909401, 2692026840490993815963669048303534820414177314046326749160958, 18089902894546089054261731063405613571821660313268949897736756, 121590736246306469400240169632764589994626527171356297647525079, 817465508232203657548064146133339186436744472971773071017609032, 5497186583672228487086833715494158147341263824649659778101134913, 36975248456688912777775238854210428578315553337621023374493217120, 248759049527276411325685204428128979114081604161007412027281769142, 1673946257401782424018392539045135668366591791708208313433311662146, 11266699702188791724038723336755492148200227134093838665125790529502, 75847687585095203787724611535940560407648493379394490984441653438144, 510712272881678678503846587854363036172249689071501050133775665533505, 3439509763641816429681864286841148208027444819907849251989773546013107, 23168672365875274616979388630872155347181425869566214463926223070754983, 156094719488332466895812830642629074449506591638911676733040883584989788, 1051855088498725751855979812025832725878193847618728068949593272026595589, 7089285802797577276417228596128055912177628877580066224420097716695354423, 47788810730727189835994490330707199867303133205282162990869947116988835784, 322199952829327652955743368306616857779915292971368181660294489223016475823, 2172694345124734131085083283660288186255467314839659320401560072611098356024, 14653594100315570951283166926657724048648878719020300813277275655912496817771, 98846328222696065338169824166425577843532167440683222595579723864722355024244, 666877907962387876754828598413931622303126839463346841163880596133154516553704, 4499871516811586998576516844546707087970422481712104250333713340331735084630730, 30368302907704334409280696362827418463097582374426498318329428375741600754901124

Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24450/
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[19,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[19,x]*F[7,x]
F[7,x] = F[216,x]+F[8,x]
F[8,x] = F[11,x]+F[9,x]
F[9,x] = F[0,x]*F[10,x]
F[10,x] = 1+x^2*F[10,x]^3+(-x^2+x)*F[10,x]^2
F[11,x] = F[12,x]+F[20,x]
F[12,x] = F[13,x]+F[2,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[19,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[2,x]*F[4,x]
F[17,x] = F[0,x]*F[18,x]*F[2,x]
F[18,x] = F[0,x]+F[12,x]
F[19,x] = x
F[20,x] = F[21,x]+F[58,x]
F[21,x] = F[22,x]
F[22,x] = F[19,x]*F[23,x]
F[23,x] = F[24,x]+F[44,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = F[10,x]*F[2,x]
F[26,x] = F[27,x]
F[27,x] = F[19,x]*F[23,x]*F[28,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[1,x]+F[19,x]
F[30,x] = F[31,x]
F[31,x] = F[19,x]*F[32,x]
F[32,x] = F[33,x]+F[42,x]
F[33,x] = 1/F[10,x]/F[19,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[19,x]*F[37,x]
F[37,x] = 1/F[19,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[19,x]*F[28,x]*F[41,x]
F[41,x] = F[10,x]+F[39,x]
F[42,x] = F[19,x]*F[43,x]
F[43,x] = F[10,x]+F[35,x]
F[44,x] = -F[48,x]+F[45,x]
F[45,x] = 1/F[19,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = -F[2,x]+F[5,x]
F[48,x] = F[49,x]+F[51,x]
F[49,x] = F[0,x]*F[50,x]
F[50,x] = x*(1+F[50,x])^2*(x*F[50,x]+1)
F[51,x] = F[52,x]
F[52,x] = F[19,x]*F[53,x]*F[57,x]
F[53,x] = F[44,x]+F[54,x]
F[54,x] = F[48,x]+F[55,x]
F[55,x] = F[10,x]+F[56,x]
F[56,x] = F[2,x]+F[21,x]
F[57,x] = F[19,x]+F[30,x]
F[58,x] = F[59,x]
F[59,x] = F[19,x]*F[60,x]
F[60,x] = F[61,x]+F[64,x]
F[61,x] = F[2,x]*F[62,x]
F[62,x] = 1/F[19,x]*F[63,x]
F[63,x] = F[21,x]
F[64,x] = F[0,x]*F[2,x]*F[65,x]
F[65,x] = F[66,x]+F[83,x]
F[66,x] = F[49,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[0,x]*F[19,x]*F[69,x]
F[69,x] = F[70,x]+F[81,x]
F[70,x] = F[71,x]+F[82,x]
F[71,x] = F[49,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[19,x]*F[74,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = F[43,x]*F[76,x]
F[76,x] = F[2,x]+F[47,x]
F[77,x] = F[78,x]
F[78,x] = F[19,x]*F[4,x]*F[79,x]
F[79,x] = 1/F[19,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[71,x]+F[62,x]
F[82,x] = F[2,x]*F[66,x]
F[83,x] = F[84,x]
F[84,x] = F[0,x]*F[19,x]*F[85,x]
F[85,x] = 1/F[2,x]*F[86,x]
F[86,x] = -F[87,x]+F[79,x]
F[87,x] = 1/F[19,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = -F[94,x]+F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[2,x]*F[43,x]
F[92,x] = F[93,x]
F[93,x] = F[0,x]*F[19,x]*F[79,x]
F[94,x] = -F[97,x]+F[95,x]
F[95,x] = F[92,x]+F[96,x]
F[96,x] = F[0,x]*F[43,x]
F[97,x] = F[55,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[19,x]
F[100,x] = F[101,x]+F[213,x]
F[101,x] = F[102,x]+F[103,x]
F[102,x] = F[0,x]*F[33,x]
F[103,x] = F[104,x]+F[92,x]
F[104,x] = F[105,x]
F[105,x] = -F[211,x]+F[106,x]
F[106,x] = -F[198,x]+F[107,x]
F[107,x] = 1/F[19,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[20,x]+F[110,x]
F[110,x] = -F[111,x]+F[92,x]
F[111,x] = F[112,x]+F[56,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[19,x]
F[114,x] = F[115,x]+F[121,x]
F[115,x] = F[116,x]*F[56,x]
F[116,x] = F[10,x]+F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[19,x]
F[119,x] = 1/F[19,x]*F[120,x]
F[120,x] = F[56,x]
F[121,x] = F[122,x]
F[122,x] = F[0,x]*F[116,x]*F[123,x]*F[19,x]
F[123,x] = 1/F[19,x]/F[4,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[196,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]+F[194,x]
F[128,x] = F[129,x]+F[141,x]
F[129,x] = 1/F[53,x]*F[130,x]
F[130,x] = -F[138,x]+F[131,x]
F[131,x] = 1/F[19,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = -F[11,x]+F[134,x]
F[134,x] = -F[137,x]+F[135,x]
F[135,x] = 1/F[19,x]*F[136,x]
F[136,x] = F[47,x]
F[137,x] = F[4,x]*F[50,x]
F[138,x] = 1/F[19,x]*F[139,x]
F[139,x] = F[140,x]
F[140,x] = -F[11,x]+F[44,x]
F[141,x] = 1/F[10,x]*F[142,x]
F[142,x] = -F[189,x]+F[143,x]
F[143,x] = 1/F[19,x]*F[144,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[2,x]*F[50,x]
F[147,x] = F[148,x]
F[148,x] = F[149,x]*F[19,x]
F[149,x] = F[150,x]+F[184,x]
F[150,x] = F[151,x]+F[169,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]*F[19,x]*F[41,x]
F[153,x] = 1/F[10,x]*F[154,x]
F[154,x] = -F[158,x]+F[155,x]
F[155,x] = 1/F[19,x]*F[156,x]
F[156,x] = F[157,x]
F[157,x] = -F[56,x]+F[89,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[19,x]
F[160,x] = F[161,x]+F[165,x]
F[161,x] = F[162,x]*F[164,x]
F[162,x] = 1/F[19,x]*F[163,x]
F[163,x] = F[56,x]
F[164,x] = F[153,x]+F[33,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[19,x]*F[55,x]*F[85,x]
F[167,x] = 1/F[19,x]*F[168,x]
F[168,x] = F[2,x]
F[169,x] = F[170,x]
F[170,x] = F[171,x]*F[19,x]*F[41,x]
F[171,x] = F[172,x]+F[94,x]
F[172,x] = F[173,x]
F[173,x] = F[167,x]*F[174,x]*F[19,x]
F[174,x] = 1/F[119,x]*F[175,x]
F[175,x] = F[176,x]
F[176,x] = -F[179,x]+F[177,x]
F[177,x] = 1/F[19,x]*F[178,x]
F[178,x] = F[158,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[119,x]*F[97,x]
F[181,x] = F[182,x]
F[182,x] = -F[183,x]+F[177,x]
F[183,x] = F[119,x]*F[164,x]
F[184,x] = F[185,x]*F[187,x]
F[185,x] = F[186,x]
F[186,x] = F[19,x]*F[41,x]
F[187,x] = F[188,x]+F[25,x]
F[188,x] = F[12,x]+F[67,x]
F[189,x] = F[190,x]+F[191,x]
F[190,x] = F[10,x]*F[56,x]
F[191,x] = F[192,x]
F[192,x] = F[19,x]*F[193,x]*F[37,x]
F[193,x] = F[141,x]+F[56,x]
F[194,x] = F[195,x]
F[195,x] = F[128,x]*F[167,x]*F[19,x]
F[196,x] = F[197,x]
F[197,x] = F[123,x]*F[19,x]*F[5,x]
F[198,x] = F[199,x]+F[207,x]
F[199,x] = -F[205,x]+F[200,x]
F[200,x] = F[201,x]+F[202,x]
F[201,x] = F[20,x]*F[43,x]
F[202,x] = F[203,x]
F[203,x] = F[19,x]*F[204,x]*F[79,x]
F[204,x] = F[20,x]+F[49,x]
F[205,x] = F[206,x]
F[206,x] = F[0,x]*F[50,x]*F[89,x]
F[207,x] = F[208,x]
F[208,x] = F[174,x]*F[19,x]*F[209,x]
F[209,x] = 1/F[19,x]*F[210,x]
F[210,x] = F[11,x]
F[211,x] = F[212,x]
F[212,x] = F[0,x]*F[153,x]*F[50,x]
F[213,x] = F[214,x]+F[215,x]
F[214,x] = F[164,x]*F[50,x]
F[215,x] = -F[171,x]+F[158,x]
F[216,x] = F[217,x]+F[231,x]
F[217,x] = F[218,x]
F[218,x] = F[19,x]*F[219,x]
F[219,x] = F[220,x]+F[222,x]
F[220,x] = F[10,x]*F[221,x]
F[221,x] = F[193,x]+F[28,x]
F[222,x] = F[223,x]+F[229,x]
F[223,x] = F[224,x]
F[224,x] = F[19,x]*F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[119,x]*F[55,x]
F[227,x] = F[228,x]
F[228,x] = F[116,x]*F[123,x]*F[19,x]*F[55,x]
F[229,x] = F[230,x]
F[230,x] = F[128,x]*F[162,x]*F[19,x]
F[231,x] = F[232,x]+F[233,x]
F[232,x] = F[10,x]*F[47,x]
F[233,x] = F[234,x]
F[234,x] = F[19,x]*F[235,x]
F[235,x] = F[236,x]+F[245,x]
F[236,x] = F[237,x]+F[240,x]
F[237,x] = F[2,x]^2*F[238,x]
F[238,x] = F[239,x]+F[83,x]
F[239,x] = F[188,x]+F[9,x]
F[240,x] = F[241,x]*F[47,x]
F[241,x] = F[242,x]+F[244,x]
F[242,x] = F[243,x]+F[81,x]
F[243,x] = F[4,x]+F[71,x]
F[244,x] = F[2,x]*F[238,x]
F[245,x] = F[123,x]*F[246,x]
F[246,x] = F[247,x]+F[47,x]
F[247,x] = F[248,x]
F[248,x] = F[2,x]^3
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_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{19}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{216}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{11}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = x^{2} F_{10} \left(x \right)^{3}-x^{2} F_{10} \left(x \right)^{2}+x F_{10} \left(x \right)^{2}+1
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{20}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{19}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = F_{0}\! \left(x \right)+F_{12}\! \left(x \right)
F_{19}\! \left(x \right) = x
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{58}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{19}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{44}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{19}\! \left(x \right) F_{23}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{1}\! \left(x \right)+F_{19}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{19}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{42}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{10}\! \left(x \right) F_{19}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{19}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{19}\! \left(x \right) F_{28}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{10}\! \left(x \right)+F_{39}\! \left(x \right)
F_{42}\! \left(x \right) = F_{19}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{10}\! \left(x \right)+F_{35}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{48}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{51}\! \left(x \right)
F_{49}\! \left(x \right) = F_{0}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = x^{2} F_{50} \left(x \right)^{3}+2 x^{2} F_{50} \left(x \right)^{2}+x^{2} F_{50}\! \left(x \right)+x F_{50} \left(x \right)^{2}+2 x F_{50}\! \left(x \right)+x
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{19}\! \left(x \right) F_{53}\! \left(x \right) F_{57}\! \left(x \right)
F_{53}\! \left(x \right) = F_{44}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{48}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{10}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right)+F_{21}\! \left(x \right)
F_{57}\! \left(x \right) = F_{19}\! \left(x \right)+F_{30}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{19}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{64}\! \left(x \right)
F_{61}\! \left(x \right) = F_{2}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = \frac{F_{63}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{63}\! \left(x \right) = F_{21}\! \left(x \right)
F_{64}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{83}\! \left(x \right)
F_{66}\! \left(x \right) = F_{49}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{81}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{82}\! \left(x \right)
F_{71}\! \left(x \right) = F_{49}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{19}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{43}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right)+F_{47}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{19}\! \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_{19}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{62}\! \left(x \right)
F_{82}\! \left(x \right) = F_{2}\! \left(x \right) F_{66}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{2}\! \left(x \right)}
F_{86}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{79}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{2}\! \left(x \right) F_{43}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{79}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right) F_{43}\! \left(x \right)
F_{97}\! \left(x \right) = F_{55}\! \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_{19}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{213}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{103}\! \left(x \right)
F_{102}\! \left(x \right) = F_{0}\! \left(x \right) F_{33}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{92}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{92}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{56}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{19}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{121}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{56}\! \left(x \right)
F_{116}\! \left(x \right) = F_{10}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{19}\! \left(x \right)
F_{119}\! \left(x \right) = \frac{F_{120}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{120}\! \left(x \right) = F_{56}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{0}\! \left(x \right) F_{116}\! \left(x \right) F_{123}\! \left(x \right) F_{19}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{19}\! \left(x \right) F_{4}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{196}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{194}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{141}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{53}\! \left(x \right)}
F_{130}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{11}\! \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_{19}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{47}\! \left(x \right)
F_{137}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{138}\! \left(x \right) = \frac{F_{139}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{11}\! \left(x \right)+F_{44}\! \left(x \right)
F_{141}\! \left(x \right) = \frac{F_{142}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{142}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{2}\! \left(x \right) F_{50}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{19}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{184}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{169}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{19}\! \left(x \right) F_{41}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{154}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = \frac{F_{156}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{89}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{19}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{165}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{164}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{163}\! \left(x \right) = F_{56}\! \left(x \right)
F_{164}\! \left(x \right) = F_{153}\! \left(x \right)+F_{33}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{19}\! \left(x \right) F_{55}\! \left(x \right) F_{85}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{2}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{19}\! \left(x \right) F_{41}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{94}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{167}\! \left(x \right) F_{174}\! \left(x \right) F_{19}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{119}\! \left(x \right)}
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = -F_{179}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{158}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{119}\! \left(x \right) F_{97}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{177}\! \left(x \right)
F_{183}\! \left(x \right) = F_{119}\! \left(x \right) F_{164}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{187}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{19}\! \left(x \right) F_{41}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{25}\! \left(x \right)
F_{188}\! \left(x \right) = F_{12}\! \left(x \right)+F_{67}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{191}\! \left(x \right)
F_{190}\! \left(x \right) = F_{10}\! \left(x \right) F_{56}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{19}\! \left(x \right) F_{193}\! \left(x \right) F_{37}\! \left(x \right)
F_{193}\! \left(x \right) = F_{141}\! \left(x \right)+F_{56}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{128}\! \left(x \right) F_{167}\! \left(x \right) F_{19}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{123}\! \left(x \right) F_{19}\! \left(x \right) F_{5}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{207}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{202}\! \left(x \right)
F_{201}\! \left(x \right) = F_{20}\! \left(x \right) F_{43}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{19}\! \left(x \right) F_{204}\! \left(x \right) F_{79}\! \left(x \right)
F_{204}\! \left(x \right) = F_{20}\! \left(x \right)+F_{49}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{0}\! \left(x \right) F_{50}\! \left(x \right) F_{89}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{174}\! \left(x \right) F_{19}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = \frac{F_{210}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{210}\! \left(x \right) = F_{11}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{0}\! \left(x \right) F_{153}\! \left(x \right) F_{50}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{215}\! \left(x \right)
F_{214}\! \left(x \right) = F_{164}\! \left(x \right) F_{50}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{158}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{231}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{19}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{222}\! \left(x \right)
F_{220}\! \left(x \right) = F_{10}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{193}\! \left(x \right)+F_{28}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{229}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{19}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{119}\! \left(x \right) F_{55}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{116}\! \left(x \right) F_{123}\! \left(x \right) F_{19}\! \left(x \right) F_{55}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{128}\! \left(x \right) F_{162}\! \left(x \right) F_{19}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{233}\! \left(x \right)
F_{232}\! \left(x \right) = F_{10}\! \left(x \right) F_{47}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{19}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{245}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{240}\! \left(x \right)
F_{237}\! \left(x \right) = F_{2} \left(x \right)^{2} F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{83}\! \left(x \right)
F_{239}\! \left(x \right) = F_{188}\! \left(x \right)+F_{9}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right) F_{47}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{244}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{81}\! \left(x \right)
F_{243}\! \left(x \right) = F_{4}\! \left(x \right)+F_{71}\! \left(x \right)
F_{244}\! \left(x \right) = F_{2}\! \left(x \right) F_{238}\! \left(x \right)
F_{245}\! \left(x \right) = F_{123}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{47}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{2} \left(x \right)^{3}
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_19(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_19(x)*F_7(x))
Eq(F_7(x), F_216(x) + F_8(x))
Eq(F_8(x), F_11(x) + F_9(x))
Eq(F_9(x), F_0(x)*F_10(x))
Eq(F_10(x), x**2*F_10(x)**3 - x*(x - 1)*F_10(x)**2 + 1)
Eq(F_11(x), F_12(x) + F_20(x))
Eq(F_12(x), F_13(x) + F_2(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_19(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_2(x)*F_4(x))
Eq(F_17(x), F_0(x)*F_18(x)*F_2(x))
Eq(F_18(x), F_0(x) + F_12(x))
Eq(F_19(x), x)
Eq(F_20(x), F_21(x) + F_58(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_19(x)*F_23(x))
Eq(F_23(x), F_24(x) + F_44(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), F_10(x)*F_2(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_19(x)*F_23(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_1(x) + F_19(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_19(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_42(x))
Eq(F_33(x), F_34(x)/(F_10(x)*F_19(x)))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_19(x)*F_37(x))
Eq(F_37(x), F_38(x)/F_19(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_19(x)*F_28(x)*F_41(x))
Eq(F_41(x), F_10(x) + F_39(x))
Eq(F_42(x), F_19(x)*F_43(x))
Eq(F_43(x), F_10(x) + F_35(x))
Eq(F_44(x), F_45(x) - F_48(x))
Eq(F_45(x), F_46(x)/F_19(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), -F_2(x) + F_5(x))
Eq(F_48(x), F_49(x) + F_51(x))
Eq(F_49(x), F_0(x)*F_50(x))
Eq(F_50(x), x**2*(F_50(x) + 1)**3 - x*(x - 1)*(F_50(x) + 1)**2)
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_19(x)*F_53(x)*F_57(x))
Eq(F_53(x), F_44(x) + F_54(x))
Eq(F_54(x), F_48(x) + F_55(x))
Eq(F_55(x), F_10(x) + F_56(x))
Eq(F_56(x), F_2(x) + F_21(x))
Eq(F_57(x), F_19(x) + F_30(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_19(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_64(x))
Eq(F_61(x), F_2(x)*F_62(x))
Eq(F_62(x), F_63(x)/F_19(x))
Eq(F_63(x), F_21(x))
Eq(F_64(x), F_0(x)*F_2(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_83(x))
Eq(F_66(x), F_49(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_0(x)*F_19(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_81(x))
Eq(F_70(x), F_71(x) + F_82(x))
Eq(F_71(x), F_49(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_19(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), F_43(x)*F_76(x))
Eq(F_76(x), F_2(x) + F_47(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_19(x)*F_4(x)*F_79(x))
Eq(F_79(x), F_80(x)/F_19(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_62(x) - F_71(x))
Eq(F_82(x), F_2(x)*F_66(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_0(x)*F_19(x)*F_85(x))
Eq(F_85(x), F_86(x)/F_2(x))
Eq(F_86(x), F_79(x) - F_87(x))
Eq(F_87(x), F_88(x)/F_19(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_90(x) - F_94(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_2(x)*F_43(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_0(x)*F_19(x)*F_79(x))
Eq(F_94(x), F_95(x) - F_97(x))
Eq(F_95(x), F_92(x) + F_96(x))
Eq(F_96(x), F_0(x)*F_43(x))
Eq(F_97(x), F_55(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_19(x))
Eq(F_100(x), F_101(x) + F_213(x))
Eq(F_101(x), F_102(x) + F_103(x))
Eq(F_102(x), F_0(x)*F_33(x))
Eq(F_103(x), F_104(x) + F_92(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x) - F_211(x))
Eq(F_106(x), F_107(x) - F_198(x))
Eq(F_107(x), F_108(x)/F_19(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) - F_20(x))
Eq(F_110(x), -F_111(x) + F_92(x))
Eq(F_111(x), F_112(x) + F_56(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_19(x))
Eq(F_114(x), F_115(x) + F_121(x))
Eq(F_115(x), F_116(x)*F_56(x))
Eq(F_116(x), F_10(x) + F_117(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_19(x))
Eq(F_119(x), F_120(x)/F_19(x))
Eq(F_120(x), F_56(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_0(x)*F_116(x)*F_123(x)*F_19(x))
Eq(F_123(x), F_124(x)/(F_19(x)*F_4(x)))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_196(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x) + F_194(x))
Eq(F_128(x), F_129(x) + F_141(x))
Eq(F_129(x), F_130(x)/F_53(x))
Eq(F_130(x), F_131(x) - F_138(x))
Eq(F_131(x), F_132(x)/F_19(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), -F_11(x) + F_134(x))
Eq(F_134(x), F_135(x) - F_137(x))
Eq(F_135(x), F_136(x)/F_19(x))
Eq(F_136(x), F_47(x))
Eq(F_137(x), F_4(x)*F_50(x))
Eq(F_138(x), F_139(x)/F_19(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), -F_11(x) + F_44(x))
Eq(F_141(x), F_142(x)/F_10(x))
Eq(F_142(x), F_143(x) - F_189(x))
Eq(F_143(x), F_144(x)/F_19(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_2(x)*F_50(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x)*F_19(x))
Eq(F_149(x), F_150(x) + F_184(x))
Eq(F_150(x), F_151(x) + F_169(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x)*F_19(x)*F_41(x))
Eq(F_153(x), F_154(x)/F_10(x))
Eq(F_154(x), F_155(x) - F_158(x))
Eq(F_155(x), F_156(x)/F_19(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), -F_56(x) + F_89(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_19(x))
Eq(F_160(x), F_161(x) + F_165(x))
Eq(F_161(x), F_162(x)*F_164(x))
Eq(F_162(x), F_163(x)/F_19(x))
Eq(F_163(x), F_56(x))
Eq(F_164(x), F_153(x) + F_33(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_19(x)*F_55(x)*F_85(x))
Eq(F_167(x), F_168(x)/F_19(x))
Eq(F_168(x), F_2(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)*F_19(x)*F_41(x))
Eq(F_171(x), F_172(x) + F_94(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_167(x)*F_174(x)*F_19(x))
Eq(F_174(x), F_175(x)/F_119(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_177(x) - F_179(x))
Eq(F_177(x), F_178(x)/F_19(x))
Eq(F_178(x), F_158(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_119(x)*F_97(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_177(x) - F_183(x))
Eq(F_183(x), F_119(x)*F_164(x))
Eq(F_184(x), F_185(x)*F_187(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_19(x)*F_41(x))
Eq(F_187(x), F_188(x) + F_25(x))
Eq(F_188(x), F_12(x) + F_67(x))
Eq(F_189(x), F_190(x) + F_191(x))
Eq(F_190(x), F_10(x)*F_56(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_19(x)*F_193(x)*F_37(x))
Eq(F_193(x), F_141(x) + F_56(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_128(x)*F_167(x)*F_19(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_123(x)*F_19(x)*F_5(x))
Eq(F_198(x), F_199(x) + F_207(x))
Eq(F_199(x), F_200(x) - F_205(x))
Eq(F_200(x), F_201(x) + F_202(x))
Eq(F_201(x), F_20(x)*F_43(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_19(x)*F_204(x)*F_79(x))
Eq(F_204(x), F_20(x) + F_49(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_0(x)*F_50(x)*F_89(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_174(x)*F_19(x)*F_209(x))
Eq(F_209(x), F_210(x)/F_19(x))
Eq(F_210(x), F_11(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_0(x)*F_153(x)*F_50(x))
Eq(F_213(x), F_214(x) + F_215(x))
Eq(F_214(x), F_164(x)*F_50(x))
Eq(F_215(x), F_158(x) - F_171(x))
Eq(F_216(x), F_217(x) + F_231(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_19(x)*F_219(x))
Eq(F_219(x), F_220(x) + F_222(x))
Eq(F_220(x), F_10(x)*F_221(x))
Eq(F_221(x), F_193(x) + F_28(x))
Eq(F_222(x), F_223(x) + F_229(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_19(x)*F_225(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_119(x)*F_55(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_116(x)*F_123(x)*F_19(x)*F_55(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_128(x)*F_162(x)*F_19(x))
Eq(F_231(x), F_232(x) + F_233(x))
Eq(F_232(x), F_10(x)*F_47(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_19(x)*F_235(x))
Eq(F_235(x), F_236(x) + F_245(x))
Eq(F_236(x), F_237(x) + F_240(x))
Eq(F_237(x), F_2(x)**2*F_238(x))
Eq(F_238(x), F_239(x) + F_83(x))
Eq(F_239(x), F_188(x) + F_9(x))
Eq(F_240(x), F_241(x)*F_47(x))
Eq(F_241(x), F_242(x) + F_244(x))
Eq(F_242(x), F_243(x) + F_81(x))
Eq(F_243(x), F_4(x) + F_71(x))
Eq(F_244(x), F_2(x)*F_238(x))
Eq(F_245(x), F_123(x)*F_246(x))
Eq(F_246(x), F_247(x) + F_47(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_2(x)**3)
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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 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, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 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, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"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, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 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0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[5, 6], [5, 0], [5, 6], [5, 6], [5, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 4]]}], [{"patt": [0], "pos": [[4, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"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": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}}]}

Specification 2
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://permpal.com/tree/24729/
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[1,x]+F[224,x]+F[6,x]
F[6,x] = F[4,x]*F[7,x]
F[7,x] = F[5,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]+F[217,x]+F[222,x]
F[11,x] = F[12,x]+F[121,x]
F[12,x] = F[13,x]+F[5,x]
F[13,x] = F[14,x]+F[65,x]
F[14,x] = F[15,x]+F[16,x]+F[64,x]
F[15,x] = 0
F[16,x] = F[17,x]*F[4,x]
F[17,x] = -F[20,x]+F[18,x]
F[18,x] = 1/F[4,x]*F[19,x]
F[19,x] = -F[1,x]-F[22,x]+F[20,x]
F[20,x] = 1/F[4,x]*F[21,x]
F[21,x] = F[2,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[24,x]+F[5,x]
F[24,x] = -F[29,x]+F[25,x]
F[25,x] = 1/F[4,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[2,x]+F[28,x]
F[28,x] = -F[0,x]+F[20,x]
F[29,x] = F[30,x]+F[31,x]
F[30,x] = F[2,x]*F[5,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[57,x]
F[34,x] = F[35,x]+F[44,x]
F[35,x] = F[2,x]*F[36,x]
F[36,x] = -F[39,x]+F[37,x]
F[37,x] = 1/F[4,x]*F[38,x]
F[38,x] = F[24,x]
F[39,x] = F[40,x]
F[40,x] = F[0,x]*F[4,x]*F[41,x]
F[41,x] = F[36,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[0,x]*F[4,x]*F[41,x]
F[44,x] = F[45,x]
F[45,x] = F[0,x]*F[46,x]
F[46,x] = F[47,x]+F[48,x]
F[47,x] = F[28,x]*F[5,x]
F[48,x] = F[49,x]*F[54,x]
F[49,x] = F[50,x]
F[50,x] = F[0,x]*F[4,x]*F[51,x]
F[51,x] = F[5,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[36,x]*F[4,x]
F[54,x] = F[55,x]
F[55,x] = F[0,x]*F[4,x]*F[56,x]
F[56,x] = F[5,x]+F[54,x]
F[57,x] = F[58,x]+F[59,x]
F[58,x] = F[2,x]*F[39,x]
F[59,x] = F[60,x]
F[60,x] = F[0,x]*F[49,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[0,x]*F[4,x]*F[63,x]
F[63,x] = F[56,x]+F[61,x]
F[64,x] = F[23,x]*F[4,x]
F[65,x] = F[66,x]
F[66,x] = F[4,x]*F[67,x]
F[67,x] = F[211,x]+F[68,x]
F[68,x] = F[69,x]
F[69,x] = F[0,x]*F[4,x]*F[70,x]
F[70,x] = 1/F[4,x]*F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[73,x]+F[82,x]
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[5,x]+F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[4,x]*F[78,x]
F[78,x] = F[79,x]+F[80,x]
F[79,x] = F[20,x]*F[5,x]
F[80,x] = F[81,x]
F[81,x] = F[0,x]*F[20,x]*F[4,x]*F[75,x]
F[82,x] = F[83,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[194,x]+F[85,x]
F[85,x] = F[86,x]+F[88,x]
F[86,x] = 1/F[20,x]/F[4,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[89,x]
F[89,x] = F[4,x]*F[90,x]
F[90,x] = -F[145,x]+F[91,x]
F[91,x] = 1/F[4,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[208,x]+F[94,x]
F[94,x] = F[12,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[4,x]*F[97,x]
F[97,x] = F[206,x]+F[98,x]
F[98,x] = F[110,x]+F[99,x]
F[99,x] = F[100,x]*F[12,x]
F[100,x] = F[101,x]+F[102,x]
F[101,x] = 1+x^2*F[101,x]^3+(-x^2+x)*F[101,x]^2
F[102,x] = F[103,x]
F[103,x] = F[101,x]*F[104,x]*F[4,x]
F[104,x] = F[105,x]+F[108,x]
F[105,x] = F[1,x]+F[106,x]+F[107,x]
F[106,x] = F[101,x]*F[4,x]
F[107,x] = F[104,x]*F[4,x]
F[108,x] = F[109,x]
F[109,x] = F[104,x]*F[105,x]*F[4,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[12,x]*F[4,x]
F[112,x] = F[113,x]+F[118,x]
F[113,x] = 1/F[4,x]*F[114,x]
F[114,x] = F[115,x]
F[115,x] = 1/F[4,x]*F[116,x]
F[116,x] = -F[15,x]-F[6,x]+F[117,x]
F[117,x] = -F[101,x]+F[5,x]
F[118,x] = F[119,x]*F[2,x]
F[119,x] = 1/F[4,x]*F[120,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]+F[130,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[4,x]
F[124,x] = F[125,x]+F[75,x]
F[125,x] = F[126,x]+F[129,x]+F[15,x]
F[126,x] = F[127,x]*F[4,x]
F[127,x] = F[128,x]
F[128,x] = F[4,x]*F[5,x]*F[70,x]
F[129,x] = F[4,x]*F[70,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[4,x]
F[132,x] = F[133,x]+F[194,x]
F[133,x] = F[134,x]
F[134,x] = F[0,x]*F[135,x]*F[4,x]
F[135,x] = 1/F[4,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = -F[190,x]-F[192,x]+F[138,x]
F[138,x] = -F[145,x]+F[139,x]
F[139,x] = 1/F[4,x]*F[140,x]
F[140,x] = F[141,x]
F[141,x] = 1/F[4,x]*F[142,x]
F[142,x] = -F[143,x]-F[144,x]-F[15,x]+F[13,x]
F[143,x] = F[4,x]*F[94,x]
F[144,x] = F[4,x]*F[72,x]
F[145,x] = F[127,x]+F[146,x]
F[146,x] = 1/F[4,x]*F[147,x]
F[147,x] = -F[152,x]-F[180,x]-F[5,x]+F[148,x]
F[148,x] = F[149,x]+F[150,x]
F[149,x] = F[100,x]*F[5,x]
F[150,x] = F[151,x]
F[151,x] = F[112,x]*F[4,x]*F[5,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[4,x]
F[154,x] = F[155,x]+F[158,x]+F[178,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[141,x]+F[7,x]
F[157,x] = F[12,x]*F[2,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[4,x]
F[160,x] = F[161,x]+F[162,x]
F[161,x] = F[155,x]*F[18,x]
F[162,x] = 1/F[4,x]*F[163,x]
F[163,x] = -F[15,x]-F[169,x]-F[171,x]-F[174,x]+F[164,x]
F[164,x] = F[165,x]+F[167,x]
F[165,x] = F[166,x]
F[166,x] = F[0,x]*F[119,x]*F[20,x]*F[4,x]
F[167,x] = F[168,x]
F[168,x] = F[119,x]*F[14,x]*F[20,x]*F[4,x]
F[169,x] = F[170,x]
F[170,x] = F[12,x]*F[20,x]*F[4,x]*F[5,x]
F[171,x] = F[172,x]*F[4,x]
F[172,x] = F[173,x]
F[173,x] = F[135,x]*F[20,x]*F[4,x]*F[5,x]
F[174,x] = F[175,x]
F[175,x] = F[176,x]*F[4,x]
F[176,x] = F[177,x]
F[177,x] = F[20,x]*F[4,x]*F[5,x]*F[70,x]
F[178,x] = F[179,x]
F[179,x] = F[155,x]*F[23,x]*F[4,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[182,x]+F[183,x]+F[188,x]
F[182,x] = F[12,x]+F[72,x]
F[183,x] = F[184,x]
F[184,x] = F[185,x]*F[4,x]
F[185,x] = F[186,x]+F[187,x]
F[186,x] = F[18,x]*F[182,x]
F[187,x] = F[176,x]
F[188,x] = F[189,x]
F[189,x] = F[182,x]*F[23,x]*F[4,x]
F[190,x] = F[191,x]
F[191,x] = F[137,x]*F[18,x]*F[4,x]
F[192,x] = F[193,x]
F[193,x] = F[137,x]*F[23,x]*F[4,x]
F[194,x] = F[195,x]
F[195,x] = F[196,x]*F[4,x]
F[196,x] = F[197,x]+F[200,x]
F[197,x] = F[129,x]+F[198,x]+F[94,x]
F[198,x] = F[199,x]
F[199,x] = F[139,x]*F[4,x]
F[200,x] = F[201,x]
F[201,x] = F[202,x]*F[4,x]
F[202,x] = F[203,x]+F[204,x]
F[203,x] = F[197,x]*F[20,x]
F[204,x] = F[205,x]
F[205,x] = F[0,x]*F[196,x]*F[20,x]*F[4,x]
F[206,x] = F[207,x]
F[207,x] = F[12,x]*F[4,x]*F[70,x]
F[208,x] = F[209,x]+F[5,x]
F[209,x] = F[210,x]
F[210,x] = F[148,x]*F[4,x]
F[211,x] = F[15,x]+F[188,x]+F[212,x]
F[212,x] = F[213,x]
F[213,x] = F[214,x]*F[4,x]
F[214,x] = F[215,x]+F[216,x]
F[215,x] = F[17,x]*F[182,x]
F[216,x] = F[167,x]
F[217,x] = F[218,x]
F[218,x] = F[219,x]*F[4,x]
F[219,x] = F[220,x]+F[221,x]
F[220,x] = F[11,x]*F[18,x]
F[221,x] = F[164,x]
F[222,x] = F[223,x]
F[223,x] = F[11,x]*F[23,x]*F[4,x]
F[224,x] = F[12,x]*F[4,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{224}\! \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_{5}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{217}\! \left(x \right)+F_{222}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{121}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{5}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{65}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)+F_{64}\! \left(x \right)
F_{15}\! \left(x \right) = 0
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{19}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{22}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{5}\! \left(x \right)
F_{24}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = F_{2}\! \left(x \right) F_{5}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{57}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{44}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{39}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{24}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{36}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{0}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{48}\! \left(x \right)
F_{47}\! \left(x \right) = F_{28}\! \left(x \right) F_{5}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right) F_{54}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{5}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{5}\! \left(x \right)+F_{54}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{59}\! \left(x \right)
F_{58}\! \left(x \right) = F_{2}\! \left(x \right) F_{39}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{0}\! \left(x \right) F_{49}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{56}\! \left(x \right)+F_{61}\! \left(x \right)
F_{64}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{4}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{211}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{82}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{5}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{80}\! \left(x \right)
F_{79}\! \left(x \right) = F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{194}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{88}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{20}\! \left(x \right) F_{4}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \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_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{206}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{110}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{12}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{102}\! \left(x \right)
F_{101}\! \left(x \right) = x^{2} F_{101} \left(x \right)^{3}-x^{2} F_{101} \left(x \right)^{2}+x F_{101} \left(x \right)^{2}+1
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{101}\! \left(x \right) F_{104}\! \left(x \right) F_{4}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{108}\! \left(x \right)
F_{105}\! \left(x \right) = F_{1}\! \left(x \right)+F_{106}\! \left(x \right)+F_{107}\! \left(x \right)
F_{106}\! \left(x \right) = F_{101}\! \left(x \right) F_{4}\! \left(x \right)
F_{107}\! \left(x \right) = F_{104}\! \left(x \right) F_{4}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{104}\! \left(x \right) F_{105}\! \left(x \right) F_{4}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{118}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = \frac{F_{116}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{116}\! \left(x \right) = -F_{15}\! \left(x \right)-F_{6}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{5}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{2}\! \left(x \right)
F_{119}\! \left(x \right) = \frac{F_{120}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{130}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{4}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{75}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{129}\! \left(x \right)+F_{15}\! \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_{128}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right) F_{70}\! \left(x \right)
F_{129}\! \left(x \right) = F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{4}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{194}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{0}\! \left(x \right) F_{135}\! \left(x \right) F_{4}\! \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_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{190}\! \left(x \right)-F_{192}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{145}\! \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) = \frac{F_{142}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{142}\! \left(x \right) = -F_{143}\! \left(x \right)-F_{144}\! \left(x \right)-F_{15}\! \left(x \right)+F_{13}\! \left(x \right)
F_{143}\! \left(x \right) = F_{4}\! \left(x \right) F_{94}\! \left(x \right)
F_{144}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{145}\! \left(x \right) = F_{127}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{147}\! \left(x \right) = -F_{152}\! \left(x \right)-F_{180}\! \left(x \right)-F_{5}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{100}\! \left(x \right) F_{5}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{112}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{4}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{158}\! \left(x \right)+F_{178}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{141}\! \left(x \right)+F_{7}\! \left(x \right)
F_{157}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{4}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{162}\! \left(x \right)
F_{161}\! \left(x \right) = F_{155}\! \left(x \right) F_{18}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{163}\! \left(x \right) = -F_{15}\! \left(x \right)-F_{169}\! \left(x \right)-F_{171}\! \left(x \right)-F_{174}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{167}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{0}\! \left(x \right) F_{119}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{119}\! \left(x \right) F_{14}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{4}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{135}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{4}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right) F_{70}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{155}\! \left(x \right) F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)+F_{188}\! \left(x \right)
F_{182}\! \left(x \right) = F_{12}\! \left(x \right)+F_{72}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{4}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{187}\! \left(x \right)
F_{186}\! \left(x \right) = F_{18}\! \left(x \right) F_{182}\! \left(x \right)
F_{187}\! \left(x \right) = F_{176}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{182}\! \left(x \right) F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{137}\! \left(x \right) F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{137}\! \left(x \right) F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{4}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{200}\! \left(x \right)
F_{197}\! \left(x \right) = F_{129}\! \left(x \right)+F_{198}\! \left(x \right)+F_{94}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{139}\! \left(x \right) F_{4}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)
F_{203}\! \left(x \right) = F_{197}\! \left(x \right) F_{20}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{0}\! \left(x \right) F_{196}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{5}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{148}\! \left(x \right) F_{4}\! \left(x \right)
F_{211}\! \left(x \right) = F_{15}\! \left(x \right)+F_{188}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \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_{216}\! \left(x \right)
F_{215}\! \left(x \right) = F_{17}\! \left(x \right) F_{182}\! \left(x \right)
F_{216}\! \left(x \right) = F_{167}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{4}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{221}\! \left(x \right)
F_{220}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right)
F_{221}\! \left(x \right) = F_{164}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{11}\! \left(x \right) F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{224}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_1(x) + F_224(x) + F_6(x))
Eq(F_6(x), F_4(x)*F_7(x))
Eq(F_7(x), F_5(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_217(x) + F_222(x))
Eq(F_11(x), F_12(x) + F_121(x))
Eq(F_12(x), F_13(x) + F_5(x))
Eq(F_13(x), F_14(x) + F_65(x))
Eq(F_14(x), F_15(x) + F_16(x) + F_64(x))
Eq(F_15(x), 0)
Eq(F_16(x), F_17(x)*F_4(x))
Eq(F_17(x), F_18(x) - F_20(x))
Eq(F_18(x), F_19(x)/F_4(x))
Eq(F_19(x), -F_1(x) + F_20(x) - F_22(x))
Eq(F_20(x), F_21(x)/F_4(x))
Eq(F_21(x), F_2(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_24(x) + F_5(x))
Eq(F_24(x), F_25(x) - F_29(x))
Eq(F_25(x), F_26(x)/F_4(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), -F_2(x) + F_28(x))
Eq(F_28(x), -F_0(x) + F_20(x))
Eq(F_29(x), F_30(x) + F_31(x))
Eq(F_30(x), F_2(x)*F_5(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_57(x))
Eq(F_34(x), F_35(x) + F_44(x))
Eq(F_35(x), F_2(x)*F_36(x))
Eq(F_36(x), F_37(x) - F_39(x))
Eq(F_37(x), F_38(x)/F_4(x))
Eq(F_38(x), F_24(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_0(x)*F_4(x)*F_41(x))
Eq(F_41(x), F_36(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_0(x)*F_4(x)*F_41(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_0(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_48(x))
Eq(F_47(x), F_28(x)*F_5(x))
Eq(F_48(x), F_49(x)*F_54(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_0(x)*F_4(x)*F_51(x))
Eq(F_51(x), F_5(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_36(x)*F_4(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_0(x)*F_4(x)*F_56(x))
Eq(F_56(x), F_5(x) + F_54(x))
Eq(F_57(x), F_58(x) + F_59(x))
Eq(F_58(x), F_2(x)*F_39(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_0(x)*F_49(x)*F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_0(x)*F_4(x)*F_63(x))
Eq(F_63(x), F_56(x) + F_61(x))
Eq(F_64(x), F_23(x)*F_4(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_4(x)*F_67(x))
Eq(F_67(x), F_211(x) + F_68(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_0(x)*F_4(x)*F_70(x))
Eq(F_70(x), F_71(x)/F_4(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_73(x) + F_82(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_5(x) + F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_4(x)*F_78(x))
Eq(F_78(x), F_79(x) + F_80(x))
Eq(F_79(x), F_20(x)*F_5(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_0(x)*F_20(x)*F_4(x)*F_75(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_194(x) + F_85(x))
Eq(F_85(x), F_86(x) + F_88(x))
Eq(F_86(x), F_87(x)/(F_20(x)*F_4(x)))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_4(x)*F_90(x))
Eq(F_90(x), -F_145(x) + F_91(x))
Eq(F_91(x), F_92(x)/F_4(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), -F_208(x) + F_94(x))
Eq(F_94(x), F_12(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_4(x)*F_97(x))
Eq(F_97(x), F_206(x) + F_98(x))
Eq(F_98(x), F_110(x) + F_99(x))
Eq(F_99(x), F_100(x)*F_12(x))
Eq(F_100(x), F_101(x) + F_102(x))
Eq(F_101(x), x**2*F_101(x)**3 - x*(x - 1)*F_101(x)**2 + 1)
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_101(x)*F_104(x)*F_4(x))
Eq(F_104(x), F_105(x) + F_108(x))
Eq(F_105(x), F_1(x) + F_106(x) + F_107(x))
Eq(F_106(x), F_101(x)*F_4(x))
Eq(F_107(x), F_104(x)*F_4(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_104(x)*F_105(x)*F_4(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_12(x)*F_4(x))
Eq(F_112(x), F_113(x) + F_118(x))
Eq(F_113(x), F_114(x)/F_4(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)/F_4(x))
Eq(F_116(x), F_117(x) - F_15(x) - F_6(x))
Eq(F_117(x), -F_101(x) + F_5(x))
Eq(F_118(x), F_119(x)*F_2(x))
Eq(F_119(x), F_120(x)/F_4(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x) + F_130(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_4(x))
Eq(F_124(x), F_125(x) + F_75(x))
Eq(F_125(x), F_126(x) + F_129(x) + F_15(x))
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_4(x)*F_5(x)*F_70(x))
Eq(F_129(x), F_4(x)*F_70(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_4(x))
Eq(F_132(x), F_133(x) + F_194(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_0(x)*F_135(x)*F_4(x))
Eq(F_135(x), F_136(x)/F_4(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x) - F_190(x) - F_192(x))
Eq(F_138(x), F_139(x) - F_145(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_4(x))
Eq(F_142(x), F_13(x) - F_143(x) - F_144(x) - F_15(x))
Eq(F_143(x), F_4(x)*F_94(x))
Eq(F_144(x), F_4(x)*F_72(x))
Eq(F_145(x), F_127(x) + F_146(x))
Eq(F_146(x), F_147(x)/F_4(x))
Eq(F_147(x), F_148(x) - F_152(x) - F_180(x) - F_5(x))
Eq(F_148(x), F_149(x) + F_150(x))
Eq(F_149(x), F_100(x)*F_5(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_112(x)*F_4(x)*F_5(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_4(x))
Eq(F_154(x), F_155(x) + F_158(x) + F_178(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_141(x) + F_7(x))
Eq(F_157(x), F_12(x)*F_2(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_4(x))
Eq(F_160(x), F_161(x) + F_162(x))
Eq(F_161(x), F_155(x)*F_18(x))
Eq(F_162(x), F_163(x)/F_4(x))
Eq(F_163(x), -F_15(x) + F_164(x) - F_169(x) - F_171(x) - F_174(x))
Eq(F_164(x), F_165(x) + F_167(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_0(x)*F_119(x)*F_20(x)*F_4(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_119(x)*F_14(x)*F_20(x)*F_4(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_12(x)*F_20(x)*F_4(x)*F_5(x))
Eq(F_171(x), F_172(x)*F_4(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_135(x)*F_20(x)*F_4(x)*F_5(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x)*F_4(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_20(x)*F_4(x)*F_5(x)*F_70(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_155(x)*F_23(x)*F_4(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_182(x) + F_183(x) + F_188(x))
Eq(F_182(x), F_12(x) + F_72(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x)*F_4(x))
Eq(F_185(x), F_186(x) + F_187(x))
Eq(F_186(x), F_18(x)*F_182(x))
Eq(F_187(x), F_176(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_182(x)*F_23(x)*F_4(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_137(x)*F_18(x)*F_4(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_137(x)*F_23(x)*F_4(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_196(x)*F_4(x))
Eq(F_196(x), F_197(x) + F_200(x))
Eq(F_197(x), F_129(x) + F_198(x) + F_94(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_139(x)*F_4(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_202(x)*F_4(x))
Eq(F_202(x), F_203(x) + F_204(x))
Eq(F_203(x), F_197(x)*F_20(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_0(x)*F_196(x)*F_20(x)*F_4(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_12(x)*F_4(x)*F_70(x))
Eq(F_208(x), F_209(x) + F_5(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_148(x)*F_4(x))
Eq(F_211(x), F_15(x) + F_188(x) + F_212(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_214(x)*F_4(x))
Eq(F_214(x), F_215(x) + F_216(x))
Eq(F_215(x), F_17(x)*F_182(x))
Eq(F_216(x), F_167(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x)*F_4(x))
Eq(F_219(x), F_220(x) + F_221(x))
Eq(F_220(x), F_11(x)*F_18(x))
Eq(F_221(x), F_164(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_11(x)*F_23(x)*F_4(x))
Eq(F_224(x), F_12(x)*F_4(x))
Pack JSON:
{"name": "point_and_col_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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "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}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 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, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"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, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 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, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [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, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 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, 1, 2, 3], "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, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [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, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 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{"patt": [3, 0, 4, 2, 1], "pos": [[4, 7], [4, 0], [4, 7], [4, 7], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[3, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"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": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 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: point_placements_req_corrob
Tree: http://permpal.com/tree/25807/
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[19,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[19,x]*F[7,x]
F[7,x] = F[216,x]+F[8,x]
F[8,x] = F[11,x]+F[9,x]
F[9,x] = F[0,x]*F[10,x]
F[10,x] = 1+x^2*F[10,x]^3+(-x^2+x)*F[10,x]^2
F[11,x] = F[12,x]+F[20,x]
F[12,x] = F[13,x]+F[2,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[19,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[2,x]*F[4,x]
F[17,x] = F[0,x]*F[18,x]*F[2,x]
F[18,x] = F[0,x]+F[12,x]
F[19,x] = x
F[20,x] = F[21,x]+F[58,x]
F[21,x] = F[22,x]
F[22,x] = F[19,x]*F[23,x]
F[23,x] = F[24,x]+F[44,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = F[10,x]*F[2,x]
F[26,x] = F[27,x]
F[27,x] = F[19,x]*F[23,x]*F[28,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[1,x]+F[19,x]
F[30,x] = F[31,x]
F[31,x] = F[19,x]*F[32,x]
F[32,x] = F[33,x]+F[42,x]
F[33,x] = 1/F[10,x]/F[19,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[19,x]*F[37,x]
F[37,x] = 1/F[19,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[19,x]*F[28,x]*F[41,x]
F[41,x] = F[10,x]+F[39,x]
F[42,x] = F[19,x]*F[43,x]
F[43,x] = F[10,x]+F[35,x]
F[44,x] = -F[48,x]+F[45,x]
F[45,x] = 1/F[19,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = -F[2,x]+F[5,x]
F[48,x] = F[49,x]+F[51,x]
F[49,x] = F[0,x]*F[50,x]
F[50,x] = x*(1+F[50,x])^2*(x*F[50,x]+1)
F[51,x] = F[52,x]
F[52,x] = F[19,x]*F[53,x]*F[57,x]
F[53,x] = F[44,x]+F[54,x]
F[54,x] = F[48,x]+F[55,x]
F[55,x] = F[10,x]+F[56,x]
F[56,x] = F[2,x]+F[21,x]
F[57,x] = F[19,x]+F[30,x]
F[58,x] = F[59,x]
F[59,x] = F[19,x]*F[60,x]
F[60,x] = F[61,x]+F[64,x]
F[61,x] = F[2,x]*F[62,x]
F[62,x] = 1/F[19,x]*F[63,x]
F[63,x] = F[21,x]
F[64,x] = F[0,x]*F[2,x]*F[65,x]
F[65,x] = F[66,x]+F[83,x]
F[66,x] = F[49,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[0,x]*F[19,x]*F[69,x]
F[69,x] = F[70,x]+F[81,x]
F[70,x] = F[71,x]+F[82,x]
F[71,x] = F[49,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[19,x]*F[74,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = F[43,x]*F[76,x]
F[76,x] = F[2,x]+F[47,x]
F[77,x] = F[78,x]
F[78,x] = F[19,x]*F[4,x]*F[79,x]
F[79,x] = 1/F[19,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[71,x]+F[62,x]
F[82,x] = F[2,x]*F[66,x]
F[83,x] = F[84,x]
F[84,x] = F[0,x]*F[19,x]*F[85,x]
F[85,x] = 1/F[2,x]*F[86,x]
F[86,x] = -F[87,x]+F[79,x]
F[87,x] = 1/F[19,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = -F[94,x]+F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[2,x]*F[43,x]
F[92,x] = F[93,x]
F[93,x] = F[0,x]*F[19,x]*F[79,x]
F[94,x] = -F[97,x]+F[95,x]
F[95,x] = F[92,x]+F[96,x]
F[96,x] = F[0,x]*F[43,x]
F[97,x] = F[55,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[19,x]
F[100,x] = F[101,x]+F[213,x]
F[101,x] = F[102,x]+F[103,x]
F[102,x] = F[0,x]*F[33,x]
F[103,x] = F[104,x]+F[92,x]
F[104,x] = F[105,x]
F[105,x] = -F[211,x]+F[106,x]
F[106,x] = -F[198,x]+F[107,x]
F[107,x] = 1/F[19,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[20,x]+F[110,x]
F[110,x] = -F[111,x]+F[92,x]
F[111,x] = F[112,x]+F[56,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[19,x]
F[114,x] = F[115,x]+F[121,x]
F[115,x] = F[116,x]*F[56,x]
F[116,x] = F[10,x]+F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[19,x]
F[119,x] = 1/F[19,x]*F[120,x]
F[120,x] = F[56,x]
F[121,x] = F[122,x]
F[122,x] = F[0,x]*F[116,x]*F[123,x]*F[19,x]
F[123,x] = 1/F[19,x]/F[4,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[196,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]+F[194,x]
F[128,x] = F[129,x]+F[141,x]
F[129,x] = 1/F[53,x]*F[130,x]
F[130,x] = -F[138,x]+F[131,x]
F[131,x] = 1/F[19,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = -F[11,x]+F[134,x]
F[134,x] = -F[137,x]+F[135,x]
F[135,x] = 1/F[19,x]*F[136,x]
F[136,x] = F[47,x]
F[137,x] = F[4,x]*F[50,x]
F[138,x] = 1/F[19,x]*F[139,x]
F[139,x] = F[140,x]
F[140,x] = -F[11,x]+F[44,x]
F[141,x] = 1/F[10,x]*F[142,x]
F[142,x] = -F[189,x]+F[143,x]
F[143,x] = 1/F[19,x]*F[144,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[2,x]*F[50,x]
F[147,x] = F[148,x]
F[148,x] = F[149,x]*F[19,x]
F[149,x] = F[150,x]+F[184,x]
F[150,x] = F[151,x]+F[169,x]
F[151,x] = F[152,x]
F[152,x] = F[153,x]*F[19,x]*F[41,x]
F[153,x] = 1/F[10,x]*F[154,x]
F[154,x] = -F[158,x]+F[155,x]
F[155,x] = 1/F[19,x]*F[156,x]
F[156,x] = F[157,x]
F[157,x] = -F[56,x]+F[89,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[19,x]
F[160,x] = F[161,x]+F[165,x]
F[161,x] = F[162,x]*F[164,x]
F[162,x] = 1/F[19,x]*F[163,x]
F[163,x] = F[56,x]
F[164,x] = F[153,x]+F[33,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[19,x]*F[55,x]*F[85,x]
F[167,x] = 1/F[19,x]*F[168,x]
F[168,x] = F[2,x]
F[169,x] = F[170,x]
F[170,x] = F[171,x]*F[19,x]*F[41,x]
F[171,x] = F[172,x]+F[94,x]
F[172,x] = F[173,x]
F[173,x] = F[167,x]*F[174,x]*F[19,x]
F[174,x] = 1/F[119,x]*F[175,x]
F[175,x] = F[176,x]
F[176,x] = -F[179,x]+F[177,x]
F[177,x] = 1/F[19,x]*F[178,x]
F[178,x] = F[158,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[119,x]*F[97,x]
F[181,x] = F[182,x]
F[182,x] = -F[183,x]+F[177,x]
F[183,x] = F[119,x]*F[164,x]
F[184,x] = F[185,x]*F[187,x]
F[185,x] = F[186,x]
F[186,x] = F[19,x]*F[41,x]
F[187,x] = F[188,x]+F[25,x]
F[188,x] = F[12,x]+F[67,x]
F[189,x] = F[190,x]+F[191,x]
F[190,x] = F[10,x]*F[56,x]
F[191,x] = F[192,x]
F[192,x] = F[19,x]*F[193,x]*F[37,x]
F[193,x] = F[141,x]+F[56,x]
F[194,x] = F[195,x]
F[195,x] = F[128,x]*F[167,x]*F[19,x]
F[196,x] = F[197,x]
F[197,x] = F[123,x]*F[19,x]*F[5,x]
F[198,x] = F[199,x]+F[207,x]
F[199,x] = -F[205,x]+F[200,x]
F[200,x] = F[201,x]+F[202,x]
F[201,x] = F[20,x]*F[43,x]
F[202,x] = F[203,x]
F[203,x] = F[19,x]*F[204,x]*F[79,x]
F[204,x] = F[20,x]+F[49,x]
F[205,x] = F[206,x]
F[206,x] = F[0,x]*F[50,x]*F[89,x]
F[207,x] = F[208,x]
F[208,x] = F[174,x]*F[19,x]*F[209,x]
F[209,x] = 1/F[19,x]*F[210,x]
F[210,x] = F[11,x]
F[211,x] = F[212,x]
F[212,x] = F[0,x]*F[153,x]*F[50,x]
F[213,x] = F[214,x]+F[215,x]
F[214,x] = F[164,x]*F[50,x]
F[215,x] = -F[171,x]+F[158,x]
F[216,x] = F[217,x]+F[231,x]
F[217,x] = F[218,x]
F[218,x] = F[19,x]*F[219,x]
F[219,x] = F[220,x]+F[222,x]
F[220,x] = F[10,x]*F[221,x]
F[221,x] = F[193,x]+F[28,x]
F[222,x] = F[223,x]+F[229,x]
F[223,x] = F[224,x]
F[224,x] = F[19,x]*F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[119,x]*F[55,x]
F[227,x] = F[228,x]
F[228,x] = F[116,x]*F[123,x]*F[19,x]*F[55,x]
F[229,x] = F[230,x]
F[230,x] = F[128,x]*F[162,x]*F[19,x]
F[231,x] = F[232,x]+F[233,x]
F[232,x] = F[10,x]*F[47,x]
F[233,x] = F[234,x]
F[234,x] = F[19,x]*F[235,x]
F[235,x] = F[236,x]+F[245,x]
F[236,x] = F[237,x]+F[240,x]
F[237,x] = F[2,x]^2*F[238,x]
F[238,x] = F[239,x]+F[83,x]
F[239,x] = F[188,x]+F[9,x]
F[240,x] = F[241,x]*F[47,x]
F[241,x] = F[242,x]+F[244,x]
F[242,x] = F[243,x]+F[81,x]
F[243,x] = F[4,x]+F[71,x]
F[244,x] = F[2,x]*F[238,x]
F[245,x] = F[123,x]*F[246,x]
F[246,x] = F[247,x]+F[47,x]
F[247,x] = F[248,x]
F[248,x] = F[2,x]^3
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_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{19}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{216}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{11}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = x^{2} F_{10} \left(x \right)^{3}-x^{2} F_{10} \left(x \right)^{2}+x F_{10} \left(x \right)^{2}+1
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{20}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{19}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = F_{0}\! \left(x \right)+F_{12}\! \left(x \right)
F_{19}\! \left(x \right) = x
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{58}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{19}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{44}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{19}\! \left(x \right) F_{23}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{1}\! \left(x \right)+F_{19}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{19}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{42}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{10}\! \left(x \right) F_{19}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{19}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{19}\! \left(x \right) F_{28}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{10}\! \left(x \right)+F_{39}\! \left(x \right)
F_{42}\! \left(x \right) = F_{19}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{10}\! \left(x \right)+F_{35}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{48}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{51}\! \left(x \right)
F_{49}\! \left(x \right) = F_{0}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = x^{2} F_{50} \left(x \right)^{3}+2 x^{2} F_{50} \left(x \right)^{2}+x^{2} F_{50}\! \left(x \right)+x F_{50} \left(x \right)^{2}+2 x F_{50}\! \left(x \right)+x
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{19}\! \left(x \right) F_{53}\! \left(x \right) F_{57}\! \left(x \right)
F_{53}\! \left(x \right) = F_{44}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{48}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{10}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right)+F_{21}\! \left(x \right)
F_{57}\! \left(x \right) = F_{19}\! \left(x \right)+F_{30}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{19}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{64}\! \left(x \right)
F_{61}\! \left(x \right) = F_{2}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = \frac{F_{63}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{63}\! \left(x \right) = F_{21}\! \left(x \right)
F_{64}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{83}\! \left(x \right)
F_{66}\! \left(x \right) = F_{49}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{81}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{82}\! \left(x \right)
F_{71}\! \left(x \right) = F_{49}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{19}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{43}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right)+F_{47}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{19}\! \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_{19}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{62}\! \left(x \right)
F_{82}\! \left(x \right) = F_{2}\! \left(x \right) F_{66}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{2}\! \left(x \right)}
F_{86}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{79}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{2}\! \left(x \right) F_{43}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right) F_{79}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right) F_{43}\! \left(x \right)
F_{97}\! \left(x \right) = F_{55}\! \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_{19}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{213}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{103}\! \left(x \right)
F_{102}\! \left(x \right) = F_{0}\! \left(x \right) F_{33}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{92}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{20}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{92}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{56}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{19}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{121}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{56}\! \left(x \right)
F_{116}\! \left(x \right) = F_{10}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{19}\! \left(x \right)
F_{119}\! \left(x \right) = \frac{F_{120}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{120}\! \left(x \right) = F_{56}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{0}\! \left(x \right) F_{116}\! \left(x \right) F_{123}\! \left(x \right) F_{19}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{19}\! \left(x \right) F_{4}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{196}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{194}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{141}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{53}\! \left(x \right)}
F_{130}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{11}\! \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_{19}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{47}\! \left(x \right)
F_{137}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{138}\! \left(x \right) = \frac{F_{139}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{11}\! \left(x \right)+F_{44}\! \left(x \right)
F_{141}\! \left(x \right) = \frac{F_{142}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{142}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{2}\! \left(x \right) F_{50}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{19}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{184}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{169}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{19}\! \left(x \right) F_{41}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{154}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = \frac{F_{156}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{89}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{19}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{165}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{164}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{163}\! \left(x \right) = F_{56}\! \left(x \right)
F_{164}\! \left(x \right) = F_{153}\! \left(x \right)+F_{33}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{19}\! \left(x \right) F_{55}\! \left(x \right) F_{85}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{2}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{19}\! \left(x \right) F_{41}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{94}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{167}\! \left(x \right) F_{174}\! \left(x \right) F_{19}\! \left(x \right)
F_{174}\! \left(x \right) = \frac{F_{175}\! \left(x \right)}{F_{119}\! \left(x \right)}
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = -F_{179}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{158}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{119}\! \left(x \right) F_{97}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{177}\! \left(x \right)
F_{183}\! \left(x \right) = F_{119}\! \left(x \right) F_{164}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{187}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{19}\! \left(x \right) F_{41}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{25}\! \left(x \right)
F_{188}\! \left(x \right) = F_{12}\! \left(x \right)+F_{67}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{191}\! \left(x \right)
F_{190}\! \left(x \right) = F_{10}\! \left(x \right) F_{56}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{19}\! \left(x \right) F_{193}\! \left(x \right) F_{37}\! \left(x \right)
F_{193}\! \left(x \right) = F_{141}\! \left(x \right)+F_{56}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{128}\! \left(x \right) F_{167}\! \left(x \right) F_{19}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{123}\! \left(x \right) F_{19}\! \left(x \right) F_{5}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{207}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{202}\! \left(x \right)
F_{201}\! \left(x \right) = F_{20}\! \left(x \right) F_{43}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{19}\! \left(x \right) F_{204}\! \left(x \right) F_{79}\! \left(x \right)
F_{204}\! \left(x \right) = F_{20}\! \left(x \right)+F_{49}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{0}\! \left(x \right) F_{50}\! \left(x \right) F_{89}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{174}\! \left(x \right) F_{19}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = \frac{F_{210}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{210}\! \left(x \right) = F_{11}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{0}\! \left(x \right) F_{153}\! \left(x \right) F_{50}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{215}\! \left(x \right)
F_{214}\! \left(x \right) = F_{164}\! \left(x \right) F_{50}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{158}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{231}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{19}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{222}\! \left(x \right)
F_{220}\! \left(x \right) = F_{10}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{193}\! \left(x \right)+F_{28}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{229}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{19}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{119}\! \left(x \right) F_{55}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{116}\! \left(x \right) F_{123}\! \left(x \right) F_{19}\! \left(x \right) F_{55}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{128}\! \left(x \right) F_{162}\! \left(x \right) F_{19}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{233}\! \left(x \right)
F_{232}\! \left(x \right) = F_{10}\! \left(x \right) F_{47}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{19}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{245}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{240}\! \left(x \right)
F_{237}\! \left(x \right) = F_{2} \left(x \right)^{2} F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{83}\! \left(x \right)
F_{239}\! \left(x \right) = F_{188}\! \left(x \right)+F_{9}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right) F_{47}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{244}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{81}\! \left(x \right)
F_{243}\! \left(x \right) = F_{4}\! \left(x \right)+F_{71}\! \left(x \right)
F_{244}\! \left(x \right) = F_{2}\! \left(x \right) F_{238}\! \left(x \right)
F_{245}\! \left(x \right) = F_{123}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{47}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{2} \left(x \right)^{3}
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_19(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_19(x)*F_7(x))
Eq(F_7(x), F_216(x) + F_8(x))
Eq(F_8(x), F_11(x) + F_9(x))
Eq(F_9(x), F_0(x)*F_10(x))
Eq(F_10(x), x**2*F_10(x)**3 - x*(x - 1)*F_10(x)**2 + 1)
Eq(F_11(x), F_12(x) + F_20(x))
Eq(F_12(x), F_13(x) + F_2(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_19(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_2(x)*F_4(x))
Eq(F_17(x), F_0(x)*F_18(x)*F_2(x))
Eq(F_18(x), F_0(x) + F_12(x))
Eq(F_19(x), x)
Eq(F_20(x), F_21(x) + F_58(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_19(x)*F_23(x))
Eq(F_23(x), F_24(x) + F_44(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), F_10(x)*F_2(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_19(x)*F_23(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_1(x) + F_19(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_19(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_42(x))
Eq(F_33(x), F_34(x)/(F_10(x)*F_19(x)))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_19(x)*F_37(x))
Eq(F_37(x), F_38(x)/F_19(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_19(x)*F_28(x)*F_41(x))
Eq(F_41(x), F_10(x) + F_39(x))
Eq(F_42(x), F_19(x)*F_43(x))
Eq(F_43(x), F_10(x) + F_35(x))
Eq(F_44(x), F_45(x) - F_48(x))
Eq(F_45(x), F_46(x)/F_19(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), -F_2(x) + F_5(x))
Eq(F_48(x), F_49(x) + F_51(x))
Eq(F_49(x), F_0(x)*F_50(x))
Eq(F_50(x), x**2*(F_50(x) + 1)**3 - x*(x - 1)*(F_50(x) + 1)**2)
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_19(x)*F_53(x)*F_57(x))
Eq(F_53(x), F_44(x) + F_54(x))
Eq(F_54(x), F_48(x) + F_55(x))
Eq(F_55(x), F_10(x) + F_56(x))
Eq(F_56(x), F_2(x) + F_21(x))
Eq(F_57(x), F_19(x) + F_30(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_19(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_64(x))
Eq(F_61(x), F_2(x)*F_62(x))
Eq(F_62(x), F_63(x)/F_19(x))
Eq(F_63(x), F_21(x))
Eq(F_64(x), F_0(x)*F_2(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_83(x))
Eq(F_66(x), F_49(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_0(x)*F_19(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_81(x))
Eq(F_70(x), F_71(x) + F_82(x))
Eq(F_71(x), F_49(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_19(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), F_43(x)*F_76(x))
Eq(F_76(x), F_2(x) + F_47(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_19(x)*F_4(x)*F_79(x))
Eq(F_79(x), F_80(x)/F_19(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_62(x) - F_71(x))
Eq(F_82(x), F_2(x)*F_66(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_0(x)*F_19(x)*F_85(x))
Eq(F_85(x), F_86(x)/F_2(x))
Eq(F_86(x), F_79(x) - F_87(x))
Eq(F_87(x), F_88(x)/F_19(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_90(x) - F_94(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_2(x)*F_43(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_0(x)*F_19(x)*F_79(x))
Eq(F_94(x), F_95(x) - F_97(x))
Eq(F_95(x), F_92(x) + F_96(x))
Eq(F_96(x), F_0(x)*F_43(x))
Eq(F_97(x), F_55(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_19(x))
Eq(F_100(x), F_101(x) + F_213(x))
Eq(F_101(x), F_102(x) + F_103(x))
Eq(F_102(x), F_0(x)*F_33(x))
Eq(F_103(x), F_104(x) + F_92(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x) - F_211(x))
Eq(F_106(x), F_107(x) - F_198(x))
Eq(F_107(x), F_108(x)/F_19(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) - F_20(x))
Eq(F_110(x), -F_111(x) + F_92(x))
Eq(F_111(x), F_112(x) + F_56(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_19(x))
Eq(F_114(x), F_115(x) + F_121(x))
Eq(F_115(x), F_116(x)*F_56(x))
Eq(F_116(x), F_10(x) + F_117(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_19(x))
Eq(F_119(x), F_120(x)/F_19(x))
Eq(F_120(x), F_56(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_0(x)*F_116(x)*F_123(x)*F_19(x))
Eq(F_123(x), F_124(x)/(F_19(x)*F_4(x)))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_196(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x) + F_194(x))
Eq(F_128(x), F_129(x) + F_141(x))
Eq(F_129(x), F_130(x)/F_53(x))
Eq(F_130(x), F_131(x) - F_138(x))
Eq(F_131(x), F_132(x)/F_19(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), -F_11(x) + F_134(x))
Eq(F_134(x), F_135(x) - F_137(x))
Eq(F_135(x), F_136(x)/F_19(x))
Eq(F_136(x), F_47(x))
Eq(F_137(x), F_4(x)*F_50(x))
Eq(F_138(x), F_139(x)/F_19(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), -F_11(x) + F_44(x))
Eq(F_141(x), F_142(x)/F_10(x))
Eq(F_142(x), F_143(x) - F_189(x))
Eq(F_143(x), F_144(x)/F_19(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_2(x)*F_50(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x)*F_19(x))
Eq(F_149(x), F_150(x) + F_184(x))
Eq(F_150(x), F_151(x) + F_169(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x)*F_19(x)*F_41(x))
Eq(F_153(x), F_154(x)/F_10(x))
Eq(F_154(x), F_155(x) - F_158(x))
Eq(F_155(x), F_156(x)/F_19(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), -F_56(x) + F_89(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_19(x))
Eq(F_160(x), F_161(x) + F_165(x))
Eq(F_161(x), F_162(x)*F_164(x))
Eq(F_162(x), F_163(x)/F_19(x))
Eq(F_163(x), F_56(x))
Eq(F_164(x), F_153(x) + F_33(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_19(x)*F_55(x)*F_85(x))
Eq(F_167(x), F_168(x)/F_19(x))
Eq(F_168(x), F_2(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)*F_19(x)*F_41(x))
Eq(F_171(x), F_172(x) + F_94(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_167(x)*F_174(x)*F_19(x))
Eq(F_174(x), F_175(x)/F_119(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_177(x) - F_179(x))
Eq(F_177(x), F_178(x)/F_19(x))
Eq(F_178(x), F_158(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_119(x)*F_97(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_177(x) - F_183(x))
Eq(F_183(x), F_119(x)*F_164(x))
Eq(F_184(x), F_185(x)*F_187(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_19(x)*F_41(x))
Eq(F_187(x), F_188(x) + F_25(x))
Eq(F_188(x), F_12(x) + F_67(x))
Eq(F_189(x), F_190(x) + F_191(x))
Eq(F_190(x), F_10(x)*F_56(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_19(x)*F_193(x)*F_37(x))
Eq(F_193(x), F_141(x) + F_56(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_128(x)*F_167(x)*F_19(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_123(x)*F_19(x)*F_5(x))
Eq(F_198(x), F_199(x) + F_207(x))
Eq(F_199(x), F_200(x) - F_205(x))
Eq(F_200(x), F_201(x) + F_202(x))
Eq(F_201(x), F_20(x)*F_43(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_19(x)*F_204(x)*F_79(x))
Eq(F_204(x), F_20(x) + F_49(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_0(x)*F_50(x)*F_89(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_174(x)*F_19(x)*F_209(x))
Eq(F_209(x), F_210(x)/F_19(x))
Eq(F_210(x), F_11(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_0(x)*F_153(x)*F_50(x))
Eq(F_213(x), F_214(x) + F_215(x))
Eq(F_214(x), F_164(x)*F_50(x))
Eq(F_215(x), F_158(x) - F_171(x))
Eq(F_216(x), F_217(x) + F_231(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_19(x)*F_219(x))
Eq(F_219(x), F_220(x) + F_222(x))
Eq(F_220(x), F_10(x)*F_221(x))
Eq(F_221(x), F_193(x) + F_28(x))
Eq(F_222(x), F_223(x) + F_229(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_19(x)*F_225(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_119(x)*F_55(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_116(x)*F_123(x)*F_19(x)*F_55(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_128(x)*F_162(x)*F_19(x))
Eq(F_231(x), F_232(x) + F_233(x))
Eq(F_232(x), F_10(x)*F_47(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_19(x)*F_235(x))
Eq(F_235(x), F_236(x) + F_245(x))
Eq(F_236(x), F_237(x) + F_240(x))
Eq(F_237(x), F_2(x)**2*F_238(x))
Eq(F_238(x), F_239(x) + F_83(x))
Eq(F_239(x), F_188(x) + F_9(x))
Eq(F_240(x), F_241(x)*F_47(x))
Eq(F_241(x), F_242(x) + F_244(x))
Eq(F_242(x), F_243(x) + F_81(x))
Eq(F_243(x), F_4(x) + F_71(x))
Eq(F_244(x), F_2(x)*F_238(x))
Eq(F_245(x), F_123(x)*F_246(x))
Eq(F_246(x), F_247(x) + F_47(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_2(x)**3)
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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 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, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 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, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"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, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], 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