01324_01342_01432_03124_03142_03214_10324_10342_10432

Counting sequence:
1, 1, 2, 6, 24, 111, 547, 2777, 14325, 74592, 390704, 2054420, 10831437, 57213643, 302624839, 1602309616, 8490170428, 45012821862, 238752893816, 1266808637503, 6723435467452, 35691502127308, 189501606943502, 1006284475667551, 5344129095081778, 28383915518634155, 150764688262072139, 800853611718414099, 4254300498203014912, 22600650603802353111, 120068315157153610202, 637893377496283845123, 3389049633120481848086, 18005958504897122801294, 95666890112121383328698, 508291700385267593852540, 2700656699304288532181957, 14349274875958066086090378, 76241965033731895793939241, 405099035402357540067328000, 2152439126105325808429353537, 11436751916655124990103860617, 60768197132459268974092657425, 322887741854863696551986033806, 1715647598704658586516268722917, 9116029952388936148704028439478, 48437794727710758757541515113723, 257373485014269391944245057628439, 1367552308202400999544680876336344, 7266490198329694959171576936031053, 38610546849077954818242856588897154, 205157621413225484434496722239544332, 1090108527912877699374126248826983868, 5792314641085520232776063922490316988, 30777605791944934022658302026794900627, 163537653365885445165326963491988289085, 868962226220046189963099937689292954786, 4617258752905564582394990386711260053814, 24533961677843990059693725346564570042576, 130362081078373421246324627246893827077567, 692683753974657935271499068763155449618633, 3680601664181185241098388234801641230680816, 19557021809208796054894025608213530972882324, 103917022868577751413354142997472932631968453, 552167366862585059850030837498065058765042825, 2933964345540840012495832926821841677508482335, 15589743708646754231490741142971840186347506363, 82836770862476500260059626081371697063739282747, 440156766247994107693747103876893373285382144662, 2338792191280006079284612800239553459541389520276, 12427275179376656992306709966533976513641570127516, 66032876861525048680801497913192702987301569979111, 350868631241991006359144343433182714010514769071121, 1864356170515378572350163168477087414807978673225066, 9906340278985805405712419337403088225679382037900870, 52637785801375908988393730894261287492479155726973349, 279693256100612946622371912896870781245614905202306440, 1486162803955571039693035178282615244929493881946968032, 7896793636286425978645699525869242887008281532201970608, 41959972807069535316440034151108407204823680184542059379, 222956230879944281470063014589347244763523364947909075482, 1184688126135871184034449816105373593234794804812373898434, 6294894594942753376842590689096705303402634125088139778850, 33448210961618148573758000277584611984289343993441202262904, 177728603654249512233026269049798115631232363133745676654782, 944369097612214926634260893175987770842209733561418991420395, 5017948603879106070962893887665481048347216940618278879365136, 26663100692227902228845283943008928173952712152665776331102087, 141675612549820219361633675310129928697166462802410106006647813, 752799890516404705783271901821315022689405805776127944879704316, 4000036895519774807289853692377567431556710390145305284875399343, 21254380376726446251399278226005946350898493225083575686476400648, 112936129929983339259121431527511405236123402963833451128651116170, 600091334163257607113093411514351631987460465331743506970364994821, 3188612983182331628964513762602532094545393044707616766426179718040, 16942842194374651272605101818434237211181510487517106748877984339246, 90026573824326623441938360517447856182084921097442255886547783377881, 478360355011085162936626870898124270091169155935359937957114122821234, 2541789827527967729164630263560214291392440710977523269649530579290355, 13505917593803577750092519093689573275502407000571930257179137941840139, 71764316727852047984728343798735873750315314242077393778594687580697744

Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/24421/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[19,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[12,x] = F[13,x]*F[15,x]*F[16,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[5,x]
F[15,x] = x
F[16,x] = F[17,x,1]
F[17,x,k[0]] = (F[18,x,k[0]]*k[0]-F[18,x,1])/(-1+k[0])
F[18,x,k[0]] = (x*F[18,x,k[0]]*k[0]+1)*(1+x*F[18,x,k[0]]*(F[18,x,k[0]]-1)*k[0])
F[19,x] = F[156,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[15,x]*F[22,x]
F[22,x] = F[155,x]+F[23,x]
F[23,x] = F[24,x]+F[51,x]
F[24,x] = F[10,x]*F[25,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[0,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[13,x]*F[15,x]
F[29,x] = F[30,x]+F[5,x]
F[30,x] = F[31,x]
F[31,x] = F[15,x]*F[32,x]
F[32,x] = F[33,x]+F[45,x]
F[33,x] = F[34,x]
F[34,x] = F[15,x]*F[26,x]*F[35,x]
F[35,x] = 1/F[0,x]*F[36,x]
F[36,x] = -F[39,x]+F[37,x]
F[37,x] = 1/F[15,x]*F[38,x]
F[38,x] = F[5,x]
F[39,x] = -F[44,x]+F[40,x]
F[40,x] = 1/F[15,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = -F[43,x]+F[5,x]
F[43,x] = x*(1+F[43,x])^2*(x*F[43,x]+1)
F[44,x] = F[2,x]*F[35,x]
F[45,x] = F[46,x]
F[46,x] = F[15,x]*F[47,x]
F[47,x] = F[48,x]+F[49,x]
F[48,x] = F[29,x]*F[35,x]
F[49,x] = F[10,x]*F[50,x]
F[50,x] = -F[25,x]+F[13,x]
F[51,x] = F[52,x]
F[52,x] = F[15,x]*F[53,x]
F[53,x] = F[54,x]+F[57,x]
F[54,x] = F[10,x]*F[55,x]
F[55,x] = 1/F[15,x]*F[56,x]
F[56,x] = F[50,x]
F[57,x] = F[145,x]*F[58,x]
F[58,x] = F[59,x,1]
F[60,x,k[0]] = F[15,x]*F[59,x,k[0]]
F[60,x,k[0]] = F[61,x,k[0]]
F[62,x,k[0]] = F[144,x,k[0]]+F[61,x,k[0]]
F[62,x,k[0]] = F[140,x,k[0]]+F[63,x]
F[63,x] = 1/F[10,x]*F[64,x]
F[64,x] = -F[130,x]+F[65,x]
F[65,x] = -F[117,x]+F[66,x]
F[66,x] = 1/F[15,x]*F[67,x]
F[67,x] = F[68,x]
F[68,x] = -F[71,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[15,x]*F[55,x]
F[71,x] = F[72,x]+F[74,x]
F[72,x] = F[43,x]*F[73,x]
F[73,x] = F[1,x]+F[15,x]
F[74,x] = F[75,x]
F[75,x] = F[15,x]*F[76,x]
F[76,x] = F[77,x]+F[89,x]
F[77,x] = F[78,x]+F[80,x]
F[78,x] = 1/F[15,x]*F[79,x]
F[79,x] = F[42,x]
F[80,x] = F[43,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[15,x]*F[83,x]
F[83,x] = -F[85,x]+F[84,x]
F[84,x] = F[25,x]+F[69,x]
F[85,x] = F[86,x]
F[86,x] = F[15,x]*F[87,x]
F[87,x] = 1/F[15,x]*F[88,x]
F[88,x] = F[32,x]
F[89,x] = F[90,x]+F[94,x]
F[90,x] = F[43,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[15,x]*F[93,x]
F[93,x] = F[32,x]+F[4,x]
F[94,x] = -F[115,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[110,x]*F[15,x]*F[97,x]
F[97,x] = 1/F[15,x]*F[98,x]
F[98,x] = F[99,x]
F[99,x] = -F[108,x]+F[100,x]
F[100,x] = 1/F[15,x]*F[101,x]
F[101,x] = F[102,x]
F[102,x] = -F[107,x]+F[103,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[15,x]
F[105,x] = F[106,x]
F[106,x] = F[15,x]*F[25,x]
F[107,x] = x^2
F[108,x] = F[109,x]*F[15,x]
F[109,x] = F[81,x]+F[91,x]
F[110,x] = F[111,x]+F[35,x]
F[111,x] = F[10,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[15,x]
F[114,x] = F[1,x]+F[112,x]
F[115,x] = F[116,x]
F[116,x] = F[10,x]*F[112,x]*F[15,x]*F[97,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[15,x]
F[119,x] = F[120,x]+F[123,x]
F[120,x] = F[121,x]*F[35,x]
F[121,x] = 1/F[15,x]*F[122,x]
F[122,x] = F[29,x]
F[123,x] = F[124,x]
F[124,x] = 1/F[15,x]*F[125,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[15,x]*F[32,x]
F[127,x] = F[128,x,1]
F[128,x,k[0]] = (F[129,x,k[0]]*k[0]-F[129,x,1])/(-1+k[0])
F[129,x,k[0]] = F[35,k[0]*x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[15,x]*F[16,x]
F[132,x] = -F[87,x]+F[133,x]
F[133,x] = 1/F[10,x]/F[15,x]*F[134,x]
F[134,x] = F[135,x]
F[135,x] = 1/F[15,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = -F[138,x]+F[85,x]
F[138,x] = -F[4,x]+F[139,x]
F[139,x] = F[26,x]+F[71,x]
F[140,x,k[0]] = F[141,x,k[0]]
F[141,x,k[0]] = k[0]*F[142,x]
F[142,x] = F[143,x]
F[143,x] = F[132,x]*F[15,x]
F[144,x,k[0]] = F[142,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[15,x]
F[147,x] = F[10,x]+F[148,x]
F[148,x] = F[149,x]
F[149,x] = F[15,x]*F[150,x]
F[150,x] = F[151,x,1]
F[152,x,k[0]] = F[151,x,k[0]]*F[154,x,k[0]]
F[152,x,k[0]] = F[153,x,k[0]]
F[129,x,k[0]] = F[153,x,k[0]]+F[18,x,k[0]]
F[154,x,k[0]] = k[0]*x
F[155,x] = F[145,x]*F[25,x]
F[156,x] = F[157,x]
F[157,x] = F[15,x]*F[158,x]
F[158,x] = F[159,x,1]
F[159,x,k[0]] = (F[160,x,k[0]]*k[0]-F[160,x,1])/(-1+k[0])
F[160,x,k[0]] = F[161,x,k[0]]
F[161,x,k[0]] = F[15,x]*F[162,x,k[0]]*F[25,x]
F[163,x,k[0]] = F[15,x]*F[162,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]+F[43,x]
F[166,x,k[0]] = F[165,x,k[0]]+F[223,x,k[0]]
F[166,x,k[0]] = F[167,x,k[0]]
F[167,x,k[0]] = F[154,x,k[0]]*F[168,x]*F[220,x,k[0]]
F[168,x] = 1/F[147,x]/F[15,x]*F[169,x]
F[169,x] = F[170,x]
F[170,x] = 1/F[112,x]*F[171,x]
F[171,x] = -F[173,x]+F[172,x]
F[172,x] = F[173,x]+F[219,x]
F[173,x] = F[174,x]+F[218,x]
F[174,x] = F[175,x]
F[175,x] = F[15,x]*F[176,x]
F[176,x] = F[177,x]+F[185,x]
F[177,x] = F[1,x]+F[178,x]
F[178,x] = F[179,x]
F[179,x] = F[15,x]*F[180,x]
F[180,x] = F[177,x]+F[181,x]
F[181,x] = F[15,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[15,x]*F[184,x]
F[184,x] = F[181,x]
F[185,x] = F[174,x]+F[186,x]
F[186,x] = F[187,x]+F[188,x]+F[200,x]
F[187,x] = 0
F[188,x] = F[15,x]*F[189,x]
F[189,x] = F[190,x]+F[198,x]
F[190,x] = F[178,x]+F[191,x]
F[191,x] = F[183,x]+F[187,x]+F[192,x]
F[192,x] = F[15,x]*F[193,x]
F[193,x] = F[190,x]+F[194,x]
F[194,x] = F[182,x]+F[195,x]
F[195,x] = F[196,x]
F[196,x] = F[15,x]*F[197,x]
F[197,x] = F[194,x]
F[198,x] = F[199,x]+F[209,x]
F[199,x] = F[200,x]
F[200,x] = F[15,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[174,x]+F[199,x]
F[203,x] = F[204,x]+F[206,x]
F[204,x] = F[205,x]
F[205,x] = F[15,x]*F[174,x]
F[206,x] = F[207,x]
F[207,x] = F[15,x]*F[208,x]
F[208,x] = F[203,x]
F[209,x] = 2*F[187,x]+F[207,x]+F[210,x]
F[210,x] = F[15,x]*F[211,x]
F[211,x] = F[212,x]+F[214,x]
F[212,x] = F[199,x]+F[213,x]
F[213,x] = 2*F[187,x]+F[207,x]+F[210,x]
F[214,x] = F[206,x]+F[215,x]
F[215,x] = F[216,x]
F[216,x] = F[15,x]*F[217,x]
F[217,x] = F[214,x]
F[218,x] = F[112,x]*F[43,x]
F[219,x] = F[112,x]*F[148,x]
F[220,x,k[0]] = F[18,x,k[0]]+F[221,x,k[0]]
F[221,x,k[0]] = F[222,x,k[0]]
F[222,x,k[0]] = F[151,x,k[0]]*F[154,x,k[0]]
F[223,x,k[0]] = k[0]*x*(1+F[223,x,k[0]])^2*(x*F[223,x,k[0]]*k[0]+1)
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{15}\! \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_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{19}\! \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_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{16}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x , 1\right)
F_{17}\! \left(x , y\right) = -\frac{-F_{18}\! \left(x , y\right) y +F_{18}\! \left(x , 1\right)}{-1+y}
F_{18}\! \left(x , y\right) = y^{2} x^{2} F_{18}\! \left(x , y\right)^{3}-x^{2} F_{18}\! \left(x , y\right)^{2} y^{2}+y x F_{18}\! \left(x , y\right)^{2}+1
F_{19}\! \left(x \right) = F_{156}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{155}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{51}\! \left(x \right)
F_{24}\! \left(x \right) = F_{10}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{5}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{15}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{45}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{0}\! \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_{15}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{5}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{5}\! \left(x \right)
F_{43}\! \left(x \right) = x^{2} F_{43} \left(x \right)^{3}+2 x^{2} F_{43} \left(x \right)^{2}+x^{2} F_{43}\! \left(x \right)+x F_{43} \left(x \right)^{2}+2 x F_{43}\! \left(x \right)+x
F_{44}\! \left(x \right) = F_{2}\! \left(x \right) F_{35}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{15}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{49}\! \left(x \right)
F_{48}\! \left(x \right) = F_{29}\! \left(x \right) F_{35}\! \left(x \right)
F_{49}\! \left(x \right) = F_{10}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{13}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{15}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{57}\! \left(x \right)
F_{54}\! \left(x \right) = F_{10}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{50}\! \left(x \right)
F_{57}\! \left(x \right) = F_{145}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x , 1\right)
F_{60}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{59}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{144}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{140}\! \left(x , y\right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = \frac{F_{64}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{64}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{15}\! \left(x \right) F_{55}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{74}\! \left(x \right)
F_{72}\! \left(x \right) = F_{43}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{15}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{89}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{80}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{42}\! \left(x \right)
F_{80}\! \left(x \right) = F_{43}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{15}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{25}\! \left(x \right)+F_{69}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{15}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{32}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{94}\! \left(x \right)
F_{90}\! \left(x \right) = F_{43}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{32}\! \left(x \right)+F_{4}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{115}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{110}\! \left(x \right) F_{15}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{15}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{15}\! \left(x \right) F_{25}\! \left(x \right)
F_{107}\! \left(x \right) = x^{2}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{15}\! \left(x \right)
F_{109}\! \left(x \right) = F_{81}\! \left(x \right)+F_{91}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{35}\! \left(x \right)
F_{111}\! \left(x \right) = F_{10}\! \left(x \right) F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{15}\! \left(x \right)
F_{114}\! \left(x \right) = F_{1}\! \left(x \right)+F_{112}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{10}\! \left(x \right) F_{112}\! \left(x \right) F_{15}\! \left(x \right) F_{97}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{15}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{123}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{35}\! \left(x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{122}\! \left(x \right) = F_{29}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{15}\! \left(x \right) F_{32}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x , 1\right)
F_{128}\! \left(x , y\right) = -\frac{-F_{129}\! \left(x , y\right) y +F_{129}\! \left(x , 1\right)}{-1+y}
F_{129}\! \left(x , y\right) = F_{35}\! \left(y x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{15}\! \left(x \right) F_{16}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{10}\! \left(x \right) F_{15}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{85}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{26}\! \left(x \right)+F_{71}\! \left(x \right)
F_{140}\! \left(x , y\right) = F_{141}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = y F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{132}\! \left(x \right) F_{15}\! \left(x \right)
F_{144}\! \left(x , y\right) = F_{142}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{15}\! \left(x \right)
F_{147}\! \left(x \right) = F_{10}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{15}\! \left(x \right) F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x , 1\right)
F_{152}\! \left(x , y\right) = F_{151}\! \left(x , y\right) F_{154}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{18}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = y x
F_{155}\! \left(x \right) = F_{145}\! \left(x \right) F_{25}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{15}\! \left(x \right) F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x , 1\right)
F_{159}\! \left(x , y\right) = -\frac{-y F_{160}\! \left(x , y\right)+F_{160}\! \left(x , 1\right)}{-1+y}
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{162}\! \left(x , y\right) F_{25}\! \left(x \right)
F_{163}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{162}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{166}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{223}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{167}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{154}\! \left(x , y\right) F_{168}\! \left(x \right) F_{220}\! \left(x , y\right)
F_{168}\! \left(x \right) = \frac{F_{169}\! \left(x \right)}{F_{147}\! \left(x \right) F_{15}\! \left(x \right)}
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = \frac{F_{171}\! \left(x \right)}{F_{112}\! \left(x \right)}
F_{171}\! \left(x \right) = -F_{173}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{219}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{218}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{15}\! \left(x \right) F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{185}\! \left(x \right)
F_{177}\! \left(x \right) = F_{1}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{15}\! \left(x \right) F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{177}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{15}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{15}\! \left(x \right) F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{181}\! \left(x \right)
F_{185}\! \left(x \right) = F_{174}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{188}\! \left(x \right)+F_{200}\! \left(x \right)
F_{187}\! \left(x \right) = 0
F_{188}\! \left(x \right) = F_{15}\! \left(x \right) F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{198}\! \left(x \right)
F_{190}\! \left(x \right) = F_{178}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{183}\! \left(x \right)+F_{187}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{15}\! \left(x \right) F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{190}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{182}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{15}\! \left(x \right) F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{194}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{209}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{15}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{203}\! \left(x \right)
F_{202}\! \left(x \right) = F_{174}\! \left(x \right)+F_{199}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{206}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{15}\! \left(x \right) F_{174}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{15}\! \left(x \right) F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{203}\! \left(x \right)
F_{209}\! \left(x \right) = 2 F_{187}\! \left(x \right)+F_{207}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{15}\! \left(x \right) F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{214}\! \left(x \right)
F_{212}\! \left(x \right) = F_{199}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = 2 F_{187}\! \left(x \right)+F_{207}\! \left(x \right)+F_{210}\! \left(x \right)
F_{214}\! \left(x \right) = F_{206}\! \left(x \right)+F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{15}\! \left(x \right) F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{214}\! \left(x \right)
F_{218}\! \left(x \right) = F_{112}\! \left(x \right) F_{43}\! \left(x \right)
F_{219}\! \left(x \right) = F_{112}\! \left(x \right) F_{148}\! \left(x \right)
F_{220}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{221}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{222}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = F_{151}\! \left(x , y\right) F_{154}\! \left(x , y\right)
F_{223}\! \left(x , y\right) = x^{2} F_{223}\! \left(x , y\right)^{3} y^{2}+2 x^{2} F_{223}\! \left(x , y\right)^{2} y^{2}+x^{2} F_{223}\! \left(x , y\right) y^{2}+x F_{223}\! \left(x , y\right)^{2} y +2 x F_{223}\! \left(x , y\right) y +y x
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_15(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_15(x)*F_7(x))
Eq(F_7(x), F_19(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))
Eq(F_12(x), F_13(x)*F_15(x)*F_16(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_5(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x, 1))
Eq(F_17(x, k_0), (-k_0*F_18(x, k_0) + F_18(x, 1))/(1 - k_0))
Eq(F_18(x, k_0), k_0**2*x**2*F_18(x, k_0)**3 - k_0*x*(k_0*x - 1)*F_18(x, k_0)**2 + 1)
Eq(F_19(x), F_156(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_15(x)*F_22(x))
Eq(F_22(x), F_155(x) + F_23(x))
Eq(F_23(x), F_24(x) + F_51(x))
Eq(F_24(x), F_10(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_0(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_13(x)*F_15(x))
Eq(F_29(x), F_30(x) + F_5(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_15(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_45(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_15(x)*F_26(x)*F_35(x))
Eq(F_35(x), F_36(x)/F_0(x))
Eq(F_36(x), F_37(x) - F_39(x))
Eq(F_37(x), F_38(x)/F_15(x))
Eq(F_38(x), F_5(x))
Eq(F_39(x), F_40(x) - F_44(x))
Eq(F_40(x), F_41(x)/F_15(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), -F_43(x) + F_5(x))
Eq(F_43(x), x**2*(F_43(x) + 1)**3 - x*(x - 1)*(F_43(x) + 1)**2)
Eq(F_44(x), F_2(x)*F_35(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_15(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_49(x))
Eq(F_48(x), F_29(x)*F_35(x))
Eq(F_49(x), F_10(x)*F_50(x))
Eq(F_50(x), F_13(x) - F_25(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_15(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_57(x))
Eq(F_54(x), F_10(x)*F_55(x))
Eq(F_55(x), F_56(x)/F_15(x))
Eq(F_56(x), F_50(x))
Eq(F_57(x), F_145(x)*F_58(x))
Eq(F_58(x), F_59(x, 1))
Eq(F_60(x, k_0), F_15(x)*F_59(x, k_0))
Eq(F_60(x, k_0), F_61(x, k_0))
Eq(F_62(x, k_0), F_144(x, k_0) + F_61(x, k_0))
Eq(F_62(x, k_0), F_140(x, k_0) + F_63(x))
Eq(F_63(x), F_64(x)/F_10(x))
Eq(F_64(x), -F_130(x) + F_65(x))
Eq(F_65(x), -F_117(x) + F_66(x))
Eq(F_66(x), F_67(x)/F_15(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_69(x) - F_71(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_15(x)*F_55(x))
Eq(F_71(x), F_72(x) + F_74(x))
Eq(F_72(x), F_43(x)*F_73(x))
Eq(F_73(x), F_1(x) + F_15(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_15(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_89(x))
Eq(F_77(x), F_78(x) + F_80(x))
Eq(F_78(x), F_79(x)/F_15(x))
Eq(F_79(x), F_42(x))
Eq(F_80(x), F_43(x)*F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_15(x)*F_83(x))
Eq(F_83(x), F_84(x) - F_85(x))
Eq(F_84(x), F_25(x) + F_69(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_15(x)*F_87(x))
Eq(F_87(x), F_88(x)/F_15(x))
Eq(F_88(x), F_32(x))
Eq(F_89(x), F_90(x) + F_94(x))
Eq(F_90(x), F_43(x)*F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_15(x)*F_93(x))
Eq(F_93(x), F_32(x) + F_4(x))
Eq(F_94(x), -F_115(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_110(x)*F_15(x)*F_97(x))
Eq(F_97(x), F_98(x)/F_15(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x) - F_108(x))
Eq(F_100(x), F_101(x)/F_15(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x) - F_107(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_15(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_15(x)*F_25(x))
Eq(F_107(x), x**2)
Eq(F_108(x), F_109(x)*F_15(x))
Eq(F_109(x), F_81(x) + F_91(x))
Eq(F_110(x), F_111(x) + F_35(x))
Eq(F_111(x), F_10(x)*F_112(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_15(x))
Eq(F_114(x), F_1(x) + F_112(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_10(x)*F_112(x)*F_15(x)*F_97(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_15(x))
Eq(F_119(x), F_120(x) + F_123(x))
Eq(F_120(x), F_121(x)*F_35(x))
Eq(F_121(x), F_122(x)/F_15(x))
Eq(F_122(x), F_29(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)/F_15(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_15(x)*F_32(x))
Eq(F_127(x), F_128(x, 1))
Eq(F_128(x, k_0), (-k_0*F_129(x, k_0) + F_129(x, 1))/(1 - k_0))
Eq(F_129(x, k_0), F_35(k_0*x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_15(x)*F_16(x))
Eq(F_132(x), F_133(x) - F_87(x))
Eq(F_133(x), F_134(x)/(F_10(x)*F_15(x)))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x)/F_15(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), -F_138(x) + F_85(x))
Eq(F_138(x), F_139(x) - F_4(x))
Eq(F_139(x), F_26(x) + F_71(x))
Eq(F_140(x, k_0), F_141(x, k_0))
Eq(F_141(x, k_0), k_0*F_142(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_132(x)*F_15(x))
Eq(F_144(x, k_0), F_142(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_15(x))
Eq(F_147(x), F_10(x) + F_148(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_15(x)*F_150(x))
Eq(F_150(x), F_151(x, 1))
Eq(F_152(x, k_0), F_151(x, k_0)*F_154(x, k_0))
Eq(F_152(x, k_0), F_153(x, k_0))
Eq(F_129(x, k_0), F_153(x, k_0) + F_18(x, k_0))
Eq(F_154(x, k_0), k_0*x)
Eq(F_155(x), F_145(x)*F_25(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_15(x)*F_158(x))
Eq(F_158(x), F_159(x, 1))
Eq(F_159(x, k_0), (-k_0*F_160(x, k_0) + F_160(x, 1))/(1 - k_0))
Eq(F_160(x, k_0), F_161(x, k_0))
Eq(F_161(x, k_0), F_15(x)*F_162(x, k_0)*F_25(x))
Eq(F_163(x, k_0), F_15(x)*F_162(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0) + F_43(x))
Eq(F_166(x, k_0), F_165(x, k_0) + F_223(x, k_0))
Eq(F_166(x, k_0), F_167(x, k_0))
Eq(F_167(x, k_0), F_154(x, k_0)*F_168(x)*F_220(x, k_0))
Eq(F_168(x), F_169(x)/(F_147(x)*F_15(x)))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)/F_112(x))
Eq(F_171(x), F_172(x) - F_173(x))
Eq(F_172(x), F_173(x) + F_219(x))
Eq(F_173(x), F_174(x) + F_218(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_15(x)*F_176(x))
Eq(F_176(x), F_177(x) + F_185(x))
Eq(F_177(x), F_1(x) + F_178(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_15(x)*F_180(x))
Eq(F_180(x), F_177(x) + F_181(x))
Eq(F_181(x), F_15(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_15(x)*F_184(x))
Eq(F_184(x), F_181(x))
Eq(F_185(x), F_174(x) + F_186(x))
Eq(F_186(x), F_187(x) + F_188(x) + F_200(x))
Eq(F_187(x), 0)
Eq(F_188(x), F_15(x)*F_189(x))
Eq(F_189(x), F_190(x) + F_198(x))
Eq(F_190(x), F_178(x) + F_191(x))
Eq(F_191(x), F_183(x) + F_187(x) + F_192(x))
Eq(F_192(x), F_15(x)*F_193(x))
Eq(F_193(x), F_190(x) + F_194(x))
Eq(F_194(x), F_182(x) + F_195(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_15(x)*F_197(x))
Eq(F_197(x), F_194(x))
Eq(F_198(x), F_199(x) + F_209(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_15(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_174(x) + F_199(x))
Eq(F_203(x), F_204(x) + F_206(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_15(x)*F_174(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_15(x)*F_208(x))
Eq(F_208(x), F_203(x))
Eq(F_209(x), 2*F_187(x) + F_207(x) + F_210(x))
Eq(F_210(x), F_15(x)*F_211(x))
Eq(F_211(x), F_212(x) + F_214(x))
Eq(F_212(x), F_199(x) + F_213(x))
Eq(F_213(x), 2*F_187(x) + F_207(x) + F_210(x))
Eq(F_214(x), F_206(x) + F_215(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_15(x)*F_217(x))
Eq(F_217(x), F_214(x))
Eq(F_218(x), F_112(x)*F_43(x))
Eq(F_219(x), F_112(x)*F_148(x))
Eq(F_220(x, k_0), F_18(x, k_0) + F_221(x, k_0))
Eq(F_221(x, k_0), F_222(x, k_0))
Eq(F_222(x, k_0), F_151(x, k_0)*F_154(x, k_0))
Eq(F_223(x, k_0), k_0**2*x**2*(F_223(x, k_0) + 1)**3 - k_0*x*(k_0*x - 1)*(F_223(x, k_0) + 1)**2)
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_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": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 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[0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}]}

Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24427/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[368,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[12,x] = F[13,x]*F[15,x]*F[16,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[5,x]
F[15,x] = x
F[16,x] = 1/F[15,x]/F[367,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[81,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[15,x]*F[21,x]
F[21,x] = F[22,x]+F[87,x]
F[22,x] = F[18,x]+F[23,x]
F[23,x] = 1/F[15,x]*F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[26,x]+F[81,x]
F[26,x] = F[15,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[15,x]*F[29,x]
F[29,x] = F[25,x]+F[30,x]
F[30,x] = F[26,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[15,x]*F[33,x]*F[71,x]
F[33,x] = F[34,x]+F[39,x]
F[34,x] = F[15,x]+F[35,x]
F[35,x] = F[36,x]+F[37,x]+F[38,x]
F[36,x] = 0
F[37,x] = x^2
F[38,x] = x^2
F[39,x] = F[40,x]
F[40,x] = F[15,x]*F[41,x]
F[41,x] = F[42,x]+F[57,x]
F[42,x] = F[43,x]+F[56,x]
F[43,x] = F[15,x]*F[44,x]
F[44,x] = F[45,x]+F[54,x]
F[45,x] = F[46,x]+F[47,x]
F[46,x] = F[1,x]+F[15,x]
F[47,x] = F[48,x]
F[48,x] = F[15,x]*F[49,x]
F[49,x] = F[44,x]+F[50,x]
F[50,x] = F[15,x]*F[51,x]
F[51,x] = F[10,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[10,x]*F[15,x]*F[44,x]
F[54,x] = F[55,x]
F[55,x] = F[15,x]*F[44,x]*F[45,x]
F[56,x] = F[35,x]*F[51,x]
F[57,x] = F[58,x]+F[64,x]
F[58,x] = F[33,x]+F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[15,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[33,x]*F[44,x]
F[63,x] = F[45,x]*F[58,x]
F[64,x] = F[15,x]*F[65,x]
F[65,x] = F[26,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[15,x]*F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[26,x]*F[44,x]
F[70,x] = F[10,x]*F[58,x]
F[71,x] = F[10,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[15,x]*F[74,x]
F[74,x] = F[75,x]+F[78,x]
F[75,x] = F[51,x]+F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[15,x]*F[44,x]*F[71,x]
F[78,x] = F[10,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[15,x]*F[71,x]
F[81,x] = F[82,x]+F[84,x]
F[82,x] = F[15,x]*F[83,x]
F[83,x] = x*(1+F[83,x])^2*(x*F[83,x]+1)
F[84,x] = F[85,x]
F[85,x] = F[15,x]*F[29,x]*F[86,x]
F[86,x] = F[15,x]+F[47,x]
F[87,x] = F[88,x]+F[99,x]
F[88,x] = F[16,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[15,x]*F[91,x]
F[91,x] = F[92,x]+F[95,x]
F[92,x] = F[1,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[15,x]*F[92,x]
F[95,x] = F[15,x]+F[96,x]
F[96,x] = F[36,x]+F[97,x]+F[98,x]
F[97,x] = F[15,x]*F[93,x]
F[98,x] = F[15,x]*F[95,x]
F[99,x] = -F[18,x]+F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[15,x]*F[16,x]
F[102,x] = -F[238,x]+F[103,x]
F[103,x] = 1/F[15,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = -F[117,x]+F[106,x]
F[106,x] = 1/F[15,x]*F[107,x]
F[107,x] = F[108,x]
F[108,x] = -F[83,x]+F[109,x]
F[109,x] = -F[0,x]+F[110,x]
F[110,x] = F[10,x]+F[111,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[15,x]
F[113,x] = 1/F[15,x]*F[114,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]+F[2,x]
F[116,x] = -F[83,x]+F[5,x]
F[117,x] = -F[120,x]+F[118,x]
F[118,x] = 1/F[15,x]*F[119,x]
F[119,x] = F[109,x]
F[120,x] = F[121,x]+F[216,x]
F[121,x] = F[122,x]+F[153,x]
F[122,x] = F[1,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[15,x]
F[125,x] = F[126,x]+F[129,x]
F[126,x] = F[1,x]+F[127,x]
F[127,x] = F[128,x]
F[128,x] = F[92,x]^2*F[15,x]
F[129,x] = F[123,x]+F[130,x]
F[130,x] = F[131,x]+F[143,x]+F[36,x]
F[131,x] = F[132,x]*F[15,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[127,x]
F[134,x] = F[135,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[15,x]
F[137,x] = F[138,x]+F[139,x]
F[138,x] = F[123,x]+F[135,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[15,x]
F[142,x] = F[123,x]+F[140,x]
F[143,x] = F[144,x]*F[15,x]
F[144,x] = F[129,x]+F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]+F[151,x]+F[36,x]
F[147,x] = F[148,x]*F[15,x]
F[148,x] = F[149,x]+F[150,x]
F[149,x] = F[93,x]
F[150,x] = F[140,x]
F[151,x] = F[15,x]*F[152,x]
F[152,x] = F[123,x]+F[146,x]
F[153,x] = F[154,x]+F[89,x]
F[154,x] = F[155,x]+F[164,x]+F[36,x]
F[155,x] = F[15,x]*F[156,x]
F[156,x] = F[157,x]+F[160,x]
F[157,x] = F[158,x]+F[93,x]
F[158,x] = F[159,x]
F[159,x] = F[15,x]*F[157,x]
F[160,x] = F[158,x]+F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[15,x]*F[163,x]
F[163,x] = F[158,x]+F[161,x]
F[164,x] = F[15,x]*F[165,x]
F[165,x] = F[166,x]+F[180,x]
F[166,x] = F[167,x]+F[89,x]
F[167,x] = F[168,x]+F[170,x]+F[36,x]
F[168,x] = F[15,x]*F[169,x]
F[169,x] = F[157,x]
F[170,x] = F[15,x]*F[171,x]
F[171,x] = F[172,x]+F[174,x]
F[172,x] = F[173,x]+F[89,x]
F[173,x] = F[170,x]
F[174,x] = F[175,x]+F[177,x]
F[175,x] = F[176,x]
F[176,x] = F[15,x]*F[89,x]
F[177,x] = F[178,x]
F[178,x] = F[15,x]*F[179,x]
F[179,x] = F[174,x]
F[180,x] = F[154,x]+F[181,x]
F[181,x] = F[182,x]+F[184,x]+F[198,x]+F[36,x]
F[182,x] = F[15,x]*F[183,x]
F[183,x] = F[163,x]
F[184,x] = F[15,x]*F[185,x]
F[185,x] = F[186,x]+F[196,x]
F[186,x] = F[173,x]+F[187,x]
F[187,x] = 2*F[36,x]+F[178,x]+F[188,x]
F[188,x] = F[15,x]*F[189,x]
F[189,x] = F[190,x]+F[192,x]
F[190,x] = F[173,x]+F[191,x]
F[191,x] = 2*F[36,x]+F[178,x]+F[188,x]
F[192,x] = F[177,x]+F[193,x]
F[193,x] = F[194,x]
F[194,x] = F[15,x]*F[195,x]
F[195,x] = F[192,x]
F[196,x] = F[197,x]+F[207,x]
F[197,x] = F[198,x]
F[198,x] = F[15,x]*F[199,x]
F[199,x] = F[200,x]+F[201,x]
F[200,x] = F[154,x]+F[197,x]
F[201,x] = F[202,x]+F[204,x]
F[202,x] = F[203,x]
F[203,x] = F[15,x]*F[154,x]
F[204,x] = F[205,x]
F[205,x] = F[15,x]*F[206,x]
F[206,x] = F[201,x]
F[207,x] = 3*F[36,x]+F[205,x]+F[208,x]
F[208,x] = F[15,x]*F[209,x]
F[209,x] = F[210,x]+F[212,x]
F[210,x] = F[197,x]+F[211,x]
F[211,x] = 3*F[36,x]+F[205,x]+F[208,x]
F[212,x] = F[204,x]+F[213,x]
F[213,x] = F[214,x]
F[214,x] = F[15,x]*F[215,x]
F[215,x] = F[212,x]
F[216,x] = F[217,x]+F[218,x]
F[217,x] = F[83,x]*F[92,x]
F[218,x] = F[219,x]
F[219,x] = F[15,x]*F[220,x]
F[220,x] = F[221,x]+F[229,x]
F[221,x] = F[222,x]*F[83,x]
F[222,x] = F[223,x]+F[226,x]
F[223,x] = F[224,x]*F[92,x]
F[224,x] = F[225,x]+F[93,x]
F[225,x] = F[1,x]+F[89,x]
F[226,x] = F[227,x]+F[228,x]
F[227,x] = F[224,x]*F[93,x]
F[228,x] = F[15,x]*F[92,x]*F[93,x]
F[229,x] = F[230,x]*F[92,x]
F[230,x] = -F[237,x]+F[231,x]
F[231,x] = F[232,x]+F[236,x]
F[232,x] = -F[235,x]+F[233,x]
F[233,x] = 1/F[15,x]*F[234,x]
F[234,x] = F[72,x]
F[235,x] = F[79,x]*F[92,x]
F[236,x] = F[71,x]*F[93,x]
F[237,x] = F[10,x]*F[224,x]
F[238,x] = -F[364,x]+F[239,x]
F[239,x] = 1/F[15,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = -F[363,x]+F[242,x]
F[242,x] = -F[245,x]+F[243,x]
F[243,x] = 1/F[15,x]*F[244,x]
F[244,x] = F[116,x]
F[245,x] = F[246,x]+F[250,x]
F[246,x] = F[2,x]*F[247,x]
F[247,x] = F[10,x]+F[248,x]
F[248,x] = F[249,x]
F[249,x] = F[15,x]*F[231,x]
F[250,x] = F[251,x]
F[251,x] = F[15,x]*F[252,x]
F[252,x] = F[253,x]+F[360,x]
F[253,x] = F[254,x]+F[352,x]
F[254,x] = F[255,x]*F[341,x]
F[255,x] = F[2,x]+F[256,x]
F[256,x] = F[257,x]
F[257,x] = F[15,x]*F[258,x]
F[258,x] = F[259,x]+F[276,x]
F[259,x] = F[255,x]+F[260,x]
F[260,x] = F[261,x]+F[262,x]
F[261,x] = F[2,x]*F[89,x]
F[262,x] = F[263,x]
F[263,x] = F[15,x]*F[264,x]
F[264,x] = F[265,x]+F[274,x]
F[265,x] = F[266,x]+F[267,x]
F[266,x] = F[259,x]*F[89,x]
F[267,x] = F[255,x]*F[268,x]
F[268,x] = F[269,x]+F[89,x]
F[269,x] = F[155,x]+F[270,x]+F[36,x]
F[270,x] = F[15,x]*F[271,x]
F[271,x] = F[272,x]+F[273,x]
F[272,x] = F[158,x]+F[93,x]
F[273,x] = F[158,x]+F[161,x]
F[274,x] = F[275,x]+F[327,x]
F[275,x] = F[276,x]*F[89,x]
F[276,x] = -F[277,x]+F[13,x]
F[277,x] = F[278,x]+F[279,x]
F[278,x] = F[122,x]+F[255,x]
F[279,x] = F[260,x]+F[280,x]
F[280,x] = F[281,x]+F[89,x]
F[281,x] = F[282,x]+F[293,x]+F[36,x]
F[282,x] = F[15,x]*F[283,x]
F[283,x] = F[284,x]+F[285,x]
F[284,x] = F[128,x]
F[285,x] = F[286,x]+F[35,x]
F[286,x] = F[287,x]+F[291,x]+F[292,x]+F[36,x]
F[287,x] = F[15,x]*F[288,x]
F[288,x] = F[289,x]+F[290,x]+F[36,x]
F[289,x] = F[15,x]*F[284,x]
F[290,x] = F[15,x]*F[93,x]
F[291,x] = F[15,x]*F[285,x]
F[292,x] = F[15,x]*F[96,x]
F[293,x] = F[15,x]*F[294,x]
F[294,x] = F[295,x]+F[303,x]
F[295,x] = F[296,x]+F[89,x]
F[296,x] = F[297,x]
F[297,x] = F[15,x]*F[298,x]
F[298,x] = F[295,x]+F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[301,x]
F[301,x] = F[15,x]*F[302,x]
F[302,x] = F[300,x]+F[89,x]
F[303,x] = F[281,x]+F[304,x]
F[304,x] = 2*F[36,x]+F[305,x]+F[317,x]
F[305,x] = F[15,x]*F[306,x]
F[306,x] = F[307,x]+F[308,x]
F[307,x] = F[296,x]
F[308,x] = F[309,x]
F[309,x] = F[310,x]
F[310,x] = F[15,x]*F[311,x]
F[311,x] = F[312,x]+F[313,x]
F[312,x] = F[281,x]+F[309,x]
F[313,x] = F[314,x]
F[314,x] = F[315,x]
F[315,x] = F[15,x]*F[316,x]
F[316,x] = F[281,x]+F[314,x]
F[317,x] = F[15,x]*F[318,x]
F[318,x] = F[303,x]+F[319,x]
F[319,x] = F[320,x]
F[320,x] = 2*F[36,x]+F[321,x]+F[325,x]
F[321,x] = F[15,x]*F[322,x]
F[322,x] = F[323,x]+F[324,x]
F[323,x] = F[300,x]
F[324,x] = F[314,x]
F[325,x] = F[15,x]*F[326,x]
F[326,x] = F[281,x]+F[320,x]
F[327,x] = F[268,x]*F[328,x]
F[328,x] = F[329,x]+F[5,x]
F[329,x] = F[330,x]
F[330,x] = F[15,x]*F[331,x]
F[331,x] = F[332,x]+F[334,x]
F[332,x] = F[333,x]
F[333,x] = F[15,x]*F[247,x]*F[278,x]
F[334,x] = F[335,x]
F[335,x] = F[15,x]*F[336,x]
F[336,x] = F[337,x]+F[338,x]
F[337,x] = F[247,x]*F[328,x]
F[338,x] = F[10,x]*F[339,x]
F[339,x] = F[279,x]+F[340,x]
F[340,x] = -F[328,x]+F[276,x]
F[341,x] = 1/F[15,x]*F[342,x]
F[342,x] = F[343,x]
F[343,x] = -F[350,x]+F[344,x]
F[344,x] = -F[347,x]+F[345,x]
F[345,x] = 1/F[15,x]*F[346,x]
F[346,x] = F[108,x]
F[347,x] = -F[348,x]+F[113,x]
F[348,x] = F[16,x]+F[349,x]
F[349,x] = F[115,x]+F[350,x]
F[350,x] = F[351,x]
F[351,x] = F[15,x]*F[242,x]
F[352,x] = F[260,x]*F[353,x]
F[353,x] = 1/F[339,x]*F[354,x]
F[354,x] = -F[358,x]+F[355,x]
F[355,x] = 1/F[15,x]*F[356,x]
F[356,x] = F[357,x]
F[357,x] = F[242,x]+F[250,x]
F[358,x] = F[341,x]*F[359,x]
F[359,x] = F[278,x]+F[328,x]
F[360,x] = F[361,x]+F[362,x]
F[361,x] = F[328,x]*F[341,x]
F[362,x] = F[340,x]*F[353,x]
F[363,x] = F[123,x]+F[281,x]
F[364,x] = -F[103,x]+F[365,x]
F[365,x] = 1/F[15,x]*F[366,x]
F[366,x] = F[242,x]
F[367,x] = F[122,x]+F[280,x]
F[368,x] = F[369,x]+F[457,x]
F[369,x] = F[370,x]
F[370,x] = F[15,x]*F[371,x]
F[371,x] = F[372,x]+F[456,x]
F[372,x] = F[373,x]+F[374,x]
F[373,x] = F[10,x]*F[359,x]
F[374,x] = F[375,x]
F[375,x] = F[15,x]*F[376,x]
F[376,x] = F[377,x]+F[380,x]
F[377,x] = F[10,x]*F[378,x]
F[378,x] = 1/F[15,x]*F[379,x]
F[379,x] = F[339,x]
F[380,x] = F[381,x]*F[79,x]
F[381,x] = 1/F[15,x]*F[382,x]
F[382,x] = F[383,x]
F[383,x] = 1/F[10,x]*F[384,x]
F[384,x] = -F[446,x]+F[385,x]
F[385,x] = -F[436,x]+F[386,x]
F[386,x] = 1/F[15,x]*F[387,x]
F[387,x] = F[388,x]
F[388,x] = -F[391,x]+F[389,x]
F[389,x] = F[390,x]
F[390,x] = F[15,x]*F[378,x]
F[391,x] = F[392,x]+F[393,x]
F[392,x] = F[46,x]*F[83,x]
F[393,x] = F[394,x]
F[394,x] = F[15,x]*F[395,x]
F[395,x] = F[396,x]+F[412,x]
F[396,x] = F[397,x]+F[401,x]
F[397,x] = F[398,x]+F[399,x]
F[398,x] = F[4,x]*F[83,x]
F[399,x] = F[400,x]
F[400,x] = F[15,x]*F[355,x]
F[401,x] = F[402,x]*F[83,x]
F[402,x] = F[403,x]
F[403,x] = F[15,x]*F[404,x]
F[404,x] = F[405,x]+F[51,x]
F[405,x] = -F[408,x]+F[406,x]
F[406,x] = 1/F[15,x]*F[407,x]
F[407,x] = F[116,x]
F[408,x] = F[409,x]
F[409,x] = F[15,x]*F[410,x]
F[410,x] = 1/F[15,x]*F[411,x]
F[411,x] = F[331,x]
F[412,x] = F[413,x]+F[417,x]
F[413,x] = F[414,x]*F[83,x]
F[414,x] = F[415,x]
F[415,x] = F[15,x]*F[416,x]
F[416,x] = F[331,x]+F[4,x]
F[417,x] = -F[434,x]+F[418,x]
F[418,x] = F[419,x]
F[419,x] = F[15,x]*F[420,x]*F[432,x]
F[420,x] = 1/F[15,x]*F[421,x]
F[421,x] = F[422,x]
F[422,x] = -F[430,x]+F[423,x]
F[423,x] = 1/F[15,x]*F[424,x]
F[424,x] = F[425,x]
F[425,x] = -F[37,x]+F[426,x]
F[426,x] = F[427,x]
F[427,x] = F[15,x]*F[428,x]
F[428,x] = F[429,x]
F[429,x] = F[15,x]*F[359,x]
F[430,x] = F[15,x]*F[431,x]
F[431,x] = F[402,x]+F[414,x]
F[432,x] = F[247,x]+F[433,x]
F[433,x] = F[10,x]*F[93,x]
F[434,x] = F[435,x]
F[435,x] = F[10,x]*F[15,x]*F[420,x]*F[93,x]
F[436,x] = F[437,x]
F[437,x] = F[15,x]*F[438,x]
F[438,x] = F[439,x]+F[442,x]
F[439,x] = F[247,x]*F[440,x]
F[440,x] = 1/F[15,x]*F[441,x]
F[441,x] = F[328,x]
F[442,x] = F[443,x]
F[443,x] = 1/F[15,x]*F[444,x]
F[444,x] = F[445,x]
F[445,x] = F[15,x]*F[331,x]*F[341,x]
F[446,x] = F[447,x]
F[447,x] = F[15,x]*F[16,x]*F[448,x]
F[448,x] = -F[410,x]+F[449,x]
F[449,x] = 1/F[10,x]/F[15,x]*F[450,x]
F[450,x] = F[451,x]
F[451,x] = 1/F[15,x]*F[452,x]
F[452,x] = F[453,x]
F[453,x] = -F[454,x]+F[408,x]
F[454,x] = -F[4,x]+F[455,x]
F[455,x] = F[278,x]+F[391,x]
F[456,x] = F[359,x]*F[79,x]
F[457,x] = F[458,x]
F[458,x] = F[15,x]*F[459,x]
F[459,x] = F[460,x]
F[460,x] = F[15,x]*F[359,x]*F[461,x]
F[461,x] = 1/F[15,x]*F[462,x]
F[462,x] = F[463,x]
F[463,x] = 1/F[15,x]*F[464,x]
F[464,x] = F[81,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_{15}\! \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_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{368}\! \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_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{16}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{15}\! \left(x \right) F_{367}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{15}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{87}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{81}\! \left(x \right)
F_{26}\! \left(x \right) = F_{15}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{15}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{25}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{15}\! \left(x \right) F_{33}\! \left(x \right) F_{71}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{39}\! \left(x \right)
F_{34}\! \left(x \right) = F_{15}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)+F_{38}\! \left(x \right)
F_{36}\! \left(x \right) = 0
F_{37}\! \left(x \right) = x^{2}
F_{38}\! \left(x \right) = x^{2}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{57}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{56}\! \left(x \right)
F_{43}\! \left(x \right) = F_{15}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{54}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{47}\! \left(x \right)
F_{46}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{15}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{44}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{15}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{10}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{10}\! \left(x \right) F_{15}\! \left(x \right) F_{44}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{15}\! \left(x \right) F_{44}\! \left(x \right) F_{45}\! \left(x \right)
F_{56}\! \left(x \right) = F_{35}\! \left(x \right) F_{51}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{64}\! \left(x \right)
F_{58}\! \left(x \right) = F_{33}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{15}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{33}\! \left(x \right) F_{44}\! \left(x \right)
F_{63}\! \left(x \right) = F_{45}\! \left(x \right) F_{58}\! \left(x \right)
F_{64}\! \left(x \right) = F_{15}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{26}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{15}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{26}\! \left(x \right) F_{44}\! \left(x \right)
F_{70}\! \left(x \right) = F_{10}\! \left(x \right) F_{58}\! \left(x \right)
F_{71}\! \left(x \right) = F_{10}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{78}\! \left(x \right)
F_{75}\! \left(x \right) = F_{51}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{15}\! \left(x \right) F_{44}\! \left(x \right) F_{71}\! \left(x \right)
F_{78}\! \left(x \right) = F_{10}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{15}\! \left(x \right) F_{71}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{84}\! \left(x \right)
F_{82}\! \left(x \right) = F_{15}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = x^{2} F_{83} \left(x \right)^{3}+2 x^{2} F_{83} \left(x \right)^{2}+x^{2} F_{83}\! \left(x \right)+x F_{83} \left(x \right)^{2}+2 x F_{83}\! \left(x \right)+x
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{15}\! \left(x \right) F_{29}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{15}\! \left(x \right)+F_{47}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{99}\! \left(x \right)
F_{88}\! \left(x \right) = F_{16}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{15}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{95}\! \left(x \right)
F_{92}\! \left(x \right) = F_{1}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{15}\! \left(x \right) F_{92}\! \left(x \right)
F_{95}\! \left(x \right) = F_{15}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{36}\! \left(x \right)+F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{98}\! \left(x \right) = F_{15}\! \left(x \right) F_{95}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{18}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{15}\! \left(x \right) F_{16}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{238}\! \left(x \right)+F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = -F_{83}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{10}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{15}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{2}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{83}\! \left(x \right)+F_{5}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{109}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{216}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{153}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{15}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{129}\! \left(x \right)
F_{126}\! \left(x \right) = F_{1}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{92} \left(x \right)^{2} F_{15}\! \left(x \right)
F_{129}\! \left(x \right) = F_{123}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{143}\! \left(x \right)+F_{36}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{15}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{127}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{15}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{139}\! \left(x \right)
F_{138}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{15}\! \left(x \right)
F_{142}\! \left(x \right) = F_{123}\! \left(x \right)+F_{140}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{15}\! \left(x \right)
F_{144}\! \left(x \right) = F_{129}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{151}\! \left(x \right)+F_{36}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{15}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{93}\! \left(x \right)
F_{150}\! \left(x \right) = F_{140}\! \left(x \right)
F_{151}\! \left(x \right) = F_{15}\! \left(x \right) F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{123}\! \left(x \right)+F_{146}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{89}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{164}\! \left(x \right)+F_{36}\! \left(x \right)
F_{155}\! \left(x \right) = F_{15}\! \left(x \right) F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{160}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{93}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{15}\! \left(x \right) F_{157}\! \left(x \right)
F_{160}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{15}\! \left(x \right) F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{164}\! \left(x \right) = F_{15}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{180}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{89}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{170}\! \left(x \right)+F_{36}\! \left(x \right)
F_{168}\! \left(x \right) = F_{15}\! \left(x \right) F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{157}\! \left(x \right)
F_{170}\! \left(x \right) = F_{15}\! \left(x \right) F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{174}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{89}\! \left(x \right)
F_{173}\! \left(x \right) = F_{170}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{177}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{15}\! \left(x \right) F_{89}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{15}\! \left(x \right) F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{174}\! \left(x \right)
F_{180}\! \left(x \right) = F_{154}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{184}\! \left(x \right)+F_{198}\! \left(x \right)+F_{36}\! \left(x \right)
F_{182}\! \left(x \right) = F_{15}\! \left(x \right) F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{163}\! \left(x \right)
F_{184}\! \left(x \right) = F_{15}\! \left(x \right) F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{196}\! \left(x \right)
F_{186}\! \left(x \right) = F_{173}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{178}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{15}\! \left(x \right) F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{192}\! \left(x \right)
F_{190}\! \left(x \right) = F_{173}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{178}\! \left(x \right)+F_{188}\! \left(x \right)
F_{192}\! \left(x \right) = F_{177}\! \left(x \right)+F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{15}\! \left(x \right) F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{192}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{207}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{15}\! \left(x \right) F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{201}\! \left(x \right)
F_{200}\! \left(x \right) = F_{154}\! \left(x \right)+F_{197}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{204}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{15}\! \left(x \right) F_{154}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{15}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{201}\! \left(x \right)
F_{207}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{205}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{15}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{212}\! \left(x \right)
F_{210}\! \left(x \right) = F_{197}\! \left(x \right)+F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{205}\! \left(x \right)+F_{208}\! \left(x \right)
F_{212}\! \left(x \right) = F_{204}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{15}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{212}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{218}\! \left(x \right)
F_{217}\! \left(x \right) = F_{83}\! \left(x \right) F_{92}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{15}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{229}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{83}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{226}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right) F_{92}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{93}\! \left(x \right)
F_{225}\! \left(x \right) = F_{1}\! \left(x \right)+F_{89}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{228}\! \left(x \right)
F_{227}\! \left(x \right) = F_{224}\! \left(x \right) F_{93}\! \left(x \right)
F_{228}\! \left(x \right) = F_{15}\! \left(x \right) F_{92}\! \left(x \right) F_{93}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right) F_{92}\! \left(x \right)
F_{230}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{236}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{235}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = \frac{F_{234}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{234}\! \left(x \right) = F_{72}\! \left(x \right)
F_{235}\! \left(x \right) = F_{79}\! \left(x \right) F_{92}\! \left(x \right)
F_{236}\! \left(x \right) = F_{71}\! \left(x \right) F_{93}\! \left(x \right)
F_{237}\! \left(x \right) = F_{10}\! \left(x \right) F_{224}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{364}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = -F_{363}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{245}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = \frac{F_{244}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{244}\! \left(x \right) = F_{116}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{250}\! \left(x \right)
F_{246}\! \left(x \right) = F_{2}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{10}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{15}\! \left(x \right) F_{231}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{15}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{360}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{352}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{341}\! \left(x \right)
F_{255}\! \left(x \right) = F_{2}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{15}\! \left(x \right) F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{276}\! \left(x \right)
F_{259}\! \left(x \right) = F_{255}\! \left(x \right)+F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{262}\! \left(x \right)
F_{261}\! \left(x \right) = F_{2}\! \left(x \right) F_{89}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{15}\! \left(x \right) F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)+F_{274}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{267}\! \left(x \right)
F_{266}\! \left(x \right) = F_{259}\! \left(x \right) F_{89}\! \left(x \right)
F_{267}\! \left(x \right) = F_{255}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{89}\! \left(x \right)
F_{269}\! \left(x \right) = F_{155}\! \left(x \right)+F_{270}\! \left(x \right)+F_{36}\! \left(x \right)
F_{270}\! \left(x \right) = F_{15}\! \left(x \right) F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{273}\! \left(x \right)
F_{272}\! \left(x \right) = F_{158}\! \left(x \right)+F_{93}\! \left(x \right)
F_{273}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{327}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{89}\! \left(x \right)
F_{276}\! \left(x \right) = -F_{277}\! \left(x \right)+F_{13}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{279}\! \left(x \right)
F_{278}\! \left(x \right) = F_{122}\! \left(x \right)+F_{255}\! \left(x \right)
F_{279}\! \left(x \right) = F_{260}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{89}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{293}\! \left(x \right)+F_{36}\! \left(x \right)
F_{282}\! \left(x \right) = F_{15}\! \left(x \right) F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{285}\! \left(x \right)
F_{284}\! \left(x \right) = F_{128}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{35}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{291}\! \left(x \right)+F_{292}\! \left(x \right)+F_{36}\! \left(x \right)
F_{287}\! \left(x \right) = F_{15}\! \left(x \right) F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{290}\! \left(x \right)+F_{36}\! \left(x \right)
F_{289}\! \left(x \right) = F_{15}\! \left(x \right) F_{284}\! \left(x \right)
F_{290}\! \left(x \right) = F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{291}\! \left(x \right) = F_{15}\! \left(x \right) F_{285}\! \left(x \right)
F_{292}\! \left(x \right) = F_{15}\! \left(x \right) F_{96}\! \left(x \right)
F_{293}\! \left(x \right) = F_{15}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{303}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{89}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{15}\! \left(x \right) F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{295}\! \left(x \right)+F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{15}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{300}\! \left(x \right)+F_{89}\! \left(x \right)
F_{303}\! \left(x \right) = F_{281}\! \left(x \right)+F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{305}\! \left(x \right)+F_{317}\! \left(x \right)
F_{305}\! \left(x \right) = F_{15}\! \left(x \right) F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{308}\! \left(x \right)
F_{307}\! \left(x \right) = F_{296}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{15}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{313}\! \left(x \right)
F_{312}\! \left(x \right) = F_{281}\! \left(x \right)+F_{309}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{15}\! \left(x \right) F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{281}\! \left(x \right)+F_{314}\! \left(x \right)
F_{317}\! \left(x \right) = F_{15}\! \left(x \right) F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{303}\! \left(x \right)+F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{321}\! \left(x \right)+F_{325}\! \left(x \right)
F_{321}\! \left(x \right) = F_{15}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{324}\! \left(x \right)
F_{323}\! \left(x \right) = F_{300}\! \left(x \right)
F_{324}\! \left(x \right) = F_{314}\! \left(x \right)
F_{325}\! \left(x \right) = F_{15}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{281}\! \left(x \right)+F_{320}\! \left(x \right)
F_{327}\! \left(x \right) = F_{268}\! \left(x \right) F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)+F_{5}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{15}\! \left(x \right) F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{334}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{15}\! \left(x \right) F_{247}\! \left(x \right) F_{278}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{15}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)+F_{338}\! \left(x \right)
F_{337}\! \left(x \right) = F_{247}\! \left(x \right) F_{328}\! \left(x \right)
F_{338}\! \left(x \right) = F_{10}\! \left(x \right) F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{279}\! \left(x \right)+F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = -F_{328}\! \left(x \right)+F_{276}\! \left(x \right)
F_{341}\! \left(x \right) = \frac{F_{342}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = -F_{350}\! \left(x \right)+F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = -F_{347}\! \left(x \right)+F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = \frac{F_{346}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{346}\! \left(x \right) = F_{108}\! \left(x \right)
F_{347}\! \left(x \right) = -F_{348}\! \left(x \right)+F_{113}\! \left(x \right)
F_{348}\! \left(x \right) = F_{16}\! \left(x \right)+F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{115}\! \left(x \right)+F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = F_{15}\! \left(x \right) F_{242}\! \left(x \right)
F_{352}\! \left(x \right) = F_{260}\! \left(x \right) F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = \frac{F_{354}\! \left(x \right)}{F_{339}\! \left(x \right)}
F_{354}\! \left(x \right) = -F_{358}\! \left(x \right)+F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = \frac{F_{356}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{242}\! \left(x \right)+F_{250}\! \left(x \right)
F_{358}\! \left(x \right) = F_{341}\! \left(x \right) F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{278}\! \left(x \right)+F_{328}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{362}\! \left(x \right)
F_{361}\! \left(x \right) = F_{328}\! \left(x \right) F_{341}\! \left(x \right)
F_{362}\! \left(x \right) = F_{340}\! \left(x \right) F_{353}\! \left(x \right)
F_{363}\! \left(x \right) = F_{123}\! \left(x \right)+F_{281}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = \frac{F_{366}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{366}\! \left(x \right) = F_{242}\! \left(x \right)
F_{367}\! \left(x \right) = F_{122}\! \left(x \right)+F_{280}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)+F_{457}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{15}\! \left(x \right) F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{372}\! \left(x \right)+F_{456}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{374}\! \left(x \right)
F_{373}\! \left(x \right) = F_{10}\! \left(x \right) F_{359}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{15}\! \left(x \right) F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)+F_{380}\! \left(x \right)
F_{377}\! \left(x \right) = F_{10}\! \left(x \right) F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = \frac{F_{379}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{379}\! \left(x \right) = F_{339}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right) F_{79}\! \left(x \right)
F_{381}\! \left(x \right) = \frac{F_{382}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = \frac{F_{384}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{384}\! \left(x \right) = -F_{446}\! \left(x \right)+F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = -F_{436}\! \left(x \right)+F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = \frac{F_{387}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = -F_{391}\! \left(x \right)+F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{15}\! \left(x \right) F_{378}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)+F_{393}\! \left(x \right)
F_{392}\! \left(x \right) = F_{46}\! \left(x \right) F_{83}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)
F_{394}\! \left(x \right) = F_{15}\! \left(x \right) F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{412}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)+F_{401}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{399}\! \left(x \right)
F_{398}\! \left(x \right) = F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{15}\! \left(x \right) F_{355}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right) F_{83}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{15}\! \left(x \right) F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)+F_{51}\! \left(x \right)
F_{405}\! \left(x \right) = -F_{408}\! \left(x \right)+F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = \frac{F_{407}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{407}\! \left(x \right) = F_{116}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{15}\! \left(x \right) F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = \frac{F_{411}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{411}\! \left(x \right) = F_{331}\! \left(x \right)
F_{412}\! \left(x \right) = F_{413}\! \left(x \right)+F_{417}\! \left(x \right)
F_{413}\! \left(x \right) = F_{414}\! \left(x \right) F_{83}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{15}\! \left(x \right) F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = F_{331}\! \left(x \right)+F_{4}\! \left(x \right)
F_{417}\! \left(x \right) = -F_{434}\! \left(x \right)+F_{418}\! \left(x \right)
F_{418}\! \left(x \right) = F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = F_{15}\! \left(x \right) F_{420}\! \left(x \right) F_{432}\! \left(x \right)
F_{420}\! \left(x \right) = \frac{F_{421}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{421}\! \left(x \right) = F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = -F_{430}\! \left(x \right)+F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = \frac{F_{424}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{424}\! \left(x \right) = F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = F_{15}\! \left(x \right) F_{428}\! \left(x \right)
F_{428}\! \left(x \right) = F_{429}\! \left(x \right)
F_{429}\! \left(x \right) = F_{15}\! \left(x \right) F_{359}\! \left(x \right)
F_{430}\! \left(x \right) = F_{15}\! \left(x \right) F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{402}\! \left(x \right)+F_{414}\! \left(x \right)
F_{432}\! \left(x \right) = F_{247}\! \left(x \right)+F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{10}\! \left(x \right) F_{93}\! \left(x \right)
F_{434}\! \left(x \right) = F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{10}\! \left(x \right) F_{15}\! \left(x \right) F_{420}\! \left(x \right) F_{93}\! \left(x \right)
F_{436}\! \left(x \right) = F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = F_{15}\! \left(x \right) F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)+F_{442}\! \left(x \right)
F_{439}\! \left(x \right) = F_{247}\! \left(x \right) F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = \frac{F_{441}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{441}\! \left(x \right) = F_{328}\! \left(x \right)
F_{442}\! \left(x \right) = F_{443}\! \left(x \right)
F_{443}\! \left(x \right) = \frac{F_{444}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = F_{15}\! \left(x \right) F_{331}\! \left(x \right) F_{341}\! \left(x \right)
F_{446}\! \left(x \right) = F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{15}\! \left(x \right) F_{16}\! \left(x \right) F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = -F_{410}\! \left(x \right)+F_{449}\! \left(x \right)
F_{449}\! \left(x \right) = \frac{F_{450}\! \left(x \right)}{F_{10}\! \left(x \right) F_{15}\! \left(x \right)}
F_{450}\! \left(x \right) = F_{451}\! \left(x \right)
F_{451}\! \left(x \right) = \frac{F_{452}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{452}\! \left(x \right) = F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = -F_{454}\! \left(x \right)+F_{408}\! \left(x \right)
F_{454}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{278}\! \left(x \right)+F_{391}\! \left(x \right)
F_{456}\! \left(x \right) = F_{359}\! \left(x \right) F_{79}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)
F_{458}\! \left(x \right) = F_{15}\! \left(x \right) F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{460}\! \left(x \right)
F_{460}\! \left(x \right) = F_{15}\! \left(x \right) F_{359}\! \left(x \right) F_{461}\! \left(x \right)
F_{461}\! \left(x \right) = \frac{F_{462}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{462}\! \left(x \right) = F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = \frac{F_{464}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{464}\! \left(x \right) = F_{81}\! \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_15(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_15(x)*F_7(x))
Eq(F_7(x), F_368(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))
Eq(F_12(x), F_13(x)*F_15(x)*F_16(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_5(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x)/(F_15(x)*F_367(x)))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) - F_81(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_15(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_87(x))
Eq(F_22(x), F_18(x) + F_23(x))
Eq(F_23(x), F_24(x)/F_15(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_26(x) + F_81(x))
Eq(F_26(x), F_15(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_15(x)*F_29(x))
Eq(F_29(x), F_25(x) + F_30(x))
Eq(F_30(x), F_26(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_15(x)*F_33(x)*F_71(x))
Eq(F_33(x), F_34(x) + F_39(x))
Eq(F_34(x), F_15(x) + F_35(x))
Eq(F_35(x), F_36(x) + F_37(x) + F_38(x))
Eq(F_36(x), 0)
Eq(F_37(x), x**2)
Eq(F_38(x), x**2)
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_15(x)*F_41(x))
Eq(F_41(x), F_42(x) + F_57(x))
Eq(F_42(x), F_43(x) + F_56(x))
Eq(F_43(x), F_15(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_54(x))
Eq(F_45(x), F_46(x) + F_47(x))
Eq(F_46(x), F_1(x) + F_15(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_15(x)*F_49(x))
Eq(F_49(x), F_44(x) + F_50(x))
Eq(F_50(x), F_15(x)*F_51(x))
Eq(F_51(x), F_10(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_10(x)*F_15(x)*F_44(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_15(x)*F_44(x)*F_45(x))
Eq(F_56(x), F_35(x)*F_51(x))
Eq(F_57(x), F_58(x) + F_64(x))
Eq(F_58(x), F_33(x) + F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_15(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_33(x)*F_44(x))
Eq(F_63(x), F_45(x)*F_58(x))
Eq(F_64(x), F_15(x)*F_65(x))
Eq(F_65(x), F_26(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_15(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_26(x)*F_44(x))
Eq(F_70(x), F_10(x)*F_58(x))
Eq(F_71(x), F_10(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_15(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_78(x))
Eq(F_75(x), F_51(x) + F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_15(x)*F_44(x)*F_71(x))
Eq(F_78(x), F_10(x)*F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_15(x)*F_71(x))
Eq(F_81(x), F_82(x) + F_84(x))
Eq(F_82(x), F_15(x)*F_83(x))
Eq(F_83(x), x**2*(F_83(x) + 1)**3 - x*(x - 1)*(F_83(x) + 1)**2)
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_15(x)*F_29(x)*F_86(x))
Eq(F_86(x), F_15(x) + F_47(x))
Eq(F_87(x), F_88(x) + F_99(x))
Eq(F_88(x), F_16(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_15(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_95(x))
Eq(F_92(x), F_1(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_15(x)*F_92(x))
Eq(F_95(x), F_15(x) + F_96(x))
Eq(F_96(x), F_36(x) + F_97(x) + F_98(x))
Eq(F_97(x), F_15(x)*F_93(x))
Eq(F_98(x), F_15(x)*F_95(x))
Eq(F_99(x), F_100(x) - F_18(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_15(x)*F_16(x))
Eq(F_102(x), F_103(x) - F_238(x))
Eq(F_103(x), F_104(x)/F_15(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x) - F_117(x))
Eq(F_106(x), F_107(x)/F_15(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x) - F_83(x))
Eq(F_109(x), -F_0(x) + F_110(x))
Eq(F_110(x), F_10(x) + F_111(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_15(x))
Eq(F_113(x), F_114(x)/F_15(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x) + F_2(x))
Eq(F_116(x), F_5(x) - F_83(x))
Eq(F_117(x), F_118(x) - F_120(x))
Eq(F_118(x), F_119(x)/F_15(x))
Eq(F_119(x), F_109(x))
Eq(F_120(x), F_121(x) + F_216(x))
Eq(F_121(x), F_122(x) + F_153(x))
Eq(F_122(x), F_1(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_15(x))
Eq(F_125(x), F_126(x) + F_129(x))
Eq(F_126(x), F_1(x) + F_127(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_15(x)*F_92(x)**2)
Eq(F_129(x), F_123(x) + F_130(x))
Eq(F_130(x), F_131(x) + F_143(x) + F_36(x))
Eq(F_131(x), F_132(x)*F_15(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_127(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_15(x))
Eq(F_137(x), F_138(x) + F_139(x))
Eq(F_138(x), F_123(x) + F_135(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_15(x))
Eq(F_142(x), F_123(x) + F_140(x))
Eq(F_143(x), F_144(x)*F_15(x))
Eq(F_144(x), F_129(x) + F_145(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x) + F_151(x) + F_36(x))
Eq(F_147(x), F_148(x)*F_15(x))
Eq(F_148(x), F_149(x) + F_150(x))
Eq(F_149(x), F_93(x))
Eq(F_150(x), F_140(x))
Eq(F_151(x), F_15(x)*F_152(x))
Eq(F_152(x), F_123(x) + F_146(x))
Eq(F_153(x), F_154(x) + F_89(x))
Eq(F_154(x), F_155(x) + F_164(x) + F_36(x))
Eq(F_155(x), F_15(x)*F_156(x))
Eq(F_156(x), F_157(x) + F_160(x))
Eq(F_157(x), F_158(x) + F_93(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_15(x)*F_157(x))
Eq(F_160(x), F_158(x) + F_161(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_15(x)*F_163(x))
Eq(F_163(x), F_158(x) + F_161(x))
Eq(F_164(x), F_15(x)*F_165(x))
Eq(F_165(x), F_166(x) + F_180(x))
Eq(F_166(x), F_167(x) + F_89(x))
Eq(F_167(x), F_168(x) + F_170(x) + F_36(x))
Eq(F_168(x), F_15(x)*F_169(x))
Eq(F_169(x), F_157(x))
Eq(F_170(x), F_15(x)*F_171(x))
Eq(F_171(x), F_172(x) + F_174(x))
Eq(F_172(x), F_173(x) + F_89(x))
Eq(F_173(x), F_170(x))
Eq(F_174(x), F_175(x) + F_177(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_15(x)*F_89(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_15(x)*F_179(x))
Eq(F_179(x), F_174(x))
Eq(F_180(x), F_154(x) + F_181(x))
Eq(F_181(x), F_182(x) + F_184(x) + F_198(x) + F_36(x))
Eq(F_182(x), F_15(x)*F_183(x))
Eq(F_183(x), F_163(x))
Eq(F_184(x), F_15(x)*F_185(x))
Eq(F_185(x), F_186(x) + F_196(x))
Eq(F_186(x), F_173(x) + F_187(x))
Eq(F_187(x), F_178(x) + F_188(x) + 2*F_36(x))
Eq(F_188(x), F_15(x)*F_189(x))
Eq(F_189(x), F_190(x) + F_192(x))
Eq(F_190(x), F_173(x) + F_191(x))
Eq(F_191(x), F_178(x) + F_188(x) + 2*F_36(x))
Eq(F_192(x), F_177(x) + F_193(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_15(x)*F_195(x))
Eq(F_195(x), F_192(x))
Eq(F_196(x), F_197(x) + F_207(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_15(x)*F_199(x))
Eq(F_199(x), F_200(x) + F_201(x))
Eq(F_200(x), F_154(x) + F_197(x))
Eq(F_201(x), F_202(x) + F_204(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_15(x)*F_154(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_15(x)*F_206(x))
Eq(F_206(x), F_201(x))
Eq(F_207(x), F_205(x) + F_208(x) + 3*F_36(x))
Eq(F_208(x), F_15(x)*F_209(x))
Eq(F_209(x), F_210(x) + F_212(x))
Eq(F_210(x), F_197(x) + F_211(x))
Eq(F_211(x), F_205(x) + F_208(x) + 3*F_36(x))
Eq(F_212(x), F_204(x) + F_213(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_15(x)*F_215(x))
Eq(F_215(x), F_212(x))
Eq(F_216(x), F_217(x) + F_218(x))
Eq(F_217(x), F_83(x)*F_92(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_15(x)*F_220(x))
Eq(F_220(x), F_221(x) + F_229(x))
Eq(F_221(x), F_222(x)*F_83(x))
Eq(F_222(x), F_223(x) + F_226(x))
Eq(F_223(x), F_224(x)*F_92(x))
Eq(F_224(x), F_225(x) + F_93(x))
Eq(F_225(x), F_1(x) + F_89(x))
Eq(F_226(x), F_227(x) + F_228(x))
Eq(F_227(x), F_224(x)*F_93(x))
Eq(F_228(x), F_15(x)*F_92(x)*F_93(x))
Eq(F_229(x), F_230(x)*F_92(x))
Eq(F_230(x), F_231(x) - F_237(x))
Eq(F_231(x), F_232(x) + F_236(x))
Eq(F_232(x), F_233(x) - F_235(x))
Eq(F_233(x), F_234(x)/F_15(x))
Eq(F_234(x), F_72(x))
Eq(F_235(x), F_79(x)*F_92(x))
Eq(F_236(x), F_71(x)*F_93(x))
Eq(F_237(x), F_10(x)*F_224(x))
Eq(F_238(x), F_239(x) - F_364(x))
Eq(F_239(x), F_240(x)/F_15(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_242(x) - F_363(x))
Eq(F_242(x), F_243(x) - F_245(x))
Eq(F_243(x), F_244(x)/F_15(x))
Eq(F_244(x), F_116(x))
Eq(F_245(x), F_246(x) + F_250(x))
Eq(F_246(x), F_2(x)*F_247(x))
Eq(F_247(x), F_10(x) + F_248(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_15(x)*F_231(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_15(x)*F_252(x))
Eq(F_252(x), F_253(x) + F_360(x))
Eq(F_253(x), F_254(x) + F_352(x))
Eq(F_254(x), F_255(x)*F_341(x))
Eq(F_255(x), F_2(x) + F_256(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_15(x)*F_258(x))
Eq(F_258(x), F_259(x) + F_276(x))
Eq(F_259(x), F_255(x) + F_260(x))
Eq(F_260(x), F_261(x) + F_262(x))
Eq(F_261(x), F_2(x)*F_89(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_15(x)*F_264(x))
Eq(F_264(x), F_265(x) + F_274(x))
Eq(F_265(x), F_266(x) + F_267(x))
Eq(F_266(x), F_259(x)*F_89(x))
Eq(F_267(x), F_255(x)*F_268(x))
Eq(F_268(x), F_269(x) + F_89(x))
Eq(F_269(x), F_155(x) + F_270(x) + F_36(x))
Eq(F_270(x), F_15(x)*F_271(x))
Eq(F_271(x), F_272(x) + F_273(x))
Eq(F_272(x), F_158(x) + F_93(x))
Eq(F_273(x), F_158(x) + F_161(x))
Eq(F_274(x), F_275(x) + F_327(x))
Eq(F_275(x), F_276(x)*F_89(x))
Eq(F_276(x), F_13(x) - F_277(x))
Eq(F_277(x), F_278(x) + F_279(x))
Eq(F_278(x), F_122(x) + F_255(x))
Eq(F_279(x), F_260(x) + F_280(x))
Eq(F_280(x), F_281(x) + F_89(x))
Eq(F_281(x), F_282(x) + F_293(x) + F_36(x))
Eq(F_282(x), F_15(x)*F_283(x))
Eq(F_283(x), F_284(x) + F_285(x))
Eq(F_284(x), F_128(x))
Eq(F_285(x), F_286(x) + F_35(x))
Eq(F_286(x), F_287(x) + F_291(x) + F_292(x) + F_36(x))
Eq(F_287(x), F_15(x)*F_288(x))
Eq(F_288(x), F_289(x) + F_290(x) + F_36(x))
Eq(F_289(x), F_15(x)*F_284(x))
Eq(F_290(x), F_15(x)*F_93(x))
Eq(F_291(x), F_15(x)*F_285(x))
Eq(F_292(x), F_15(x)*F_96(x))
Eq(F_293(x), F_15(x)*F_294(x))
Eq(F_294(x), F_295(x) + F_303(x))
Eq(F_295(x), F_296(x) + F_89(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_15(x)*F_298(x))
Eq(F_298(x), F_295(x) + F_299(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_15(x)*F_302(x))
Eq(F_302(x), F_300(x) + F_89(x))
Eq(F_303(x), F_281(x) + F_304(x))
Eq(F_304(x), F_305(x) + F_317(x) + 2*F_36(x))
Eq(F_305(x), F_15(x)*F_306(x))
Eq(F_306(x), F_307(x) + F_308(x))
Eq(F_307(x), F_296(x))
Eq(F_308(x), F_309(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_15(x)*F_311(x))
Eq(F_311(x), F_312(x) + F_313(x))
Eq(F_312(x), F_281(x) + F_309(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_15(x)*F_316(x))
Eq(F_316(x), F_281(x) + F_314(x))
Eq(F_317(x), F_15(x)*F_318(x))
Eq(F_318(x), F_303(x) + F_319(x))
Eq(F_319(x), F_320(x))
Eq(F_320(x), F_321(x) + F_325(x) + 2*F_36(x))
Eq(F_321(x), F_15(x)*F_322(x))
Eq(F_322(x), F_323(x) + F_324(x))
Eq(F_323(x), F_300(x))
Eq(F_324(x), F_314(x))
Eq(F_325(x), F_15(x)*F_326(x))
Eq(F_326(x), F_281(x) + F_320(x))
Eq(F_327(x), F_268(x)*F_328(x))
Eq(F_328(x), F_329(x) + F_5(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), F_15(x)*F_331(x))
Eq(F_331(x), F_332(x) + F_334(x))
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_15(x)*F_247(x)*F_278(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_15(x)*F_336(x))
Eq(F_336(x), F_337(x) + F_338(x))
Eq(F_337(x), F_247(x)*F_328(x))
Eq(F_338(x), F_10(x)*F_339(x))
Eq(F_339(x), F_279(x) + F_340(x))
Eq(F_340(x), F_276(x) - F_328(x))
Eq(F_341(x), F_342(x)/F_15(x))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_344(x) - F_350(x))
Eq(F_344(x), F_345(x) - F_347(x))
Eq(F_345(x), F_346(x)/F_15(x))
Eq(F_346(x), F_108(x))
Eq(F_347(x), F_113(x) - F_348(x))
Eq(F_348(x), F_16(x) + F_349(x))
Eq(F_349(x), F_115(x) + F_350(x))
Eq(F_350(x), F_351(x))
Eq(F_351(x), F_15(x)*F_242(x))
Eq(F_352(x), F_260(x)*F_353(x))
Eq(F_353(x), F_354(x)/F_339(x))
Eq(F_354(x), F_355(x) - F_358(x))
Eq(F_355(x), F_356(x)/F_15(x))
Eq(F_356(x), F_357(x))
Eq(F_357(x), F_242(x) + F_250(x))
Eq(F_358(x), F_341(x)*F_359(x))
Eq(F_359(x), F_278(x) + F_328(x))
Eq(F_360(x), F_361(x) + F_362(x))
Eq(F_361(x), F_328(x)*F_341(x))
Eq(F_362(x), F_340(x)*F_353(x))
Eq(F_363(x), F_123(x) + F_281(x))
Eq(F_364(x), -F_103(x) + F_365(x))
Eq(F_365(x), F_366(x)/F_15(x))
Eq(F_366(x), F_242(x))
Eq(F_367(x), F_122(x) + F_280(x))
Eq(F_368(x), F_369(x) + F_457(x))
Eq(F_369(x), F_370(x))
Eq(F_370(x), F_15(x)*F_371(x))
Eq(F_371(x), F_372(x) + F_456(x))
Eq(F_372(x), F_373(x) + F_374(x))
Eq(F_373(x), F_10(x)*F_359(x))
Eq(F_374(x), F_375(x))
Eq(F_375(x), F_15(x)*F_376(x))
Eq(F_376(x), F_377(x) + F_380(x))
Eq(F_377(x), F_10(x)*F_378(x))
Eq(F_378(x), F_379(x)/F_15(x))
Eq(F_379(x), F_339(x))
Eq(F_380(x), F_381(x)*F_79(x))
Eq(F_381(x), F_382(x)/F_15(x))
Eq(F_382(x), F_383(x))
Eq(F_383(x), F_384(x)/F_10(x))
Eq(F_384(x), F_385(x) - F_446(x))
Eq(F_385(x), F_386(x) - F_436(x))
Eq(F_386(x), F_387(x)/F_15(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_389(x) - F_391(x))
Eq(F_389(x), F_390(x))
Eq(F_390(x), F_15(x)*F_378(x))
Eq(F_391(x), F_392(x) + F_393(x))
Eq(F_392(x), F_46(x)*F_83(x))
Eq(F_393(x), F_394(x))
Eq(F_394(x), F_15(x)*F_395(x))
Eq(F_395(x), F_396(x) + F_412(x))
Eq(F_396(x), F_397(x) + F_401(x))
Eq(F_397(x), F_398(x) + F_399(x))
Eq(F_398(x), F_4(x)*F_83(x))
Eq(F_399(x), F_400(x))
Eq(F_400(x), F_15(x)*F_355(x))
Eq(F_401(x), F_402(x)*F_83(x))
Eq(F_402(x), F_403(x))
Eq(F_403(x), F_15(x)*F_404(x))
Eq(F_404(x), F_405(x) + F_51(x))
Eq(F_405(x), F_406(x) - F_408(x))
Eq(F_406(x), F_407(x)/F_15(x))
Eq(F_407(x), F_116(x))
Eq(F_408(x), F_409(x))
Eq(F_409(x), F_15(x)*F_410(x))
Eq(F_410(x), F_411(x)/F_15(x))
Eq(F_411(x), F_331(x))
Eq(F_412(x), F_413(x) + F_417(x))
Eq(F_413(x), F_414(x)*F_83(x))
Eq(F_414(x), F_415(x))
Eq(F_415(x), F_15(x)*F_416(x))
Eq(F_416(x), F_331(x) + F_4(x))
Eq(F_417(x), F_418(x) - F_434(x))
Eq(F_418(x), F_419(x))
Eq(F_419(x), F_15(x)*F_420(x)*F_432(x))
Eq(F_420(x), F_421(x)/F_15(x))
Eq(F_421(x), F_422(x))
Eq(F_422(x), F_423(x) - F_430(x))
Eq(F_423(x), F_424(x)/F_15(x))
Eq(F_424(x), F_425(x))
Eq(F_425(x), -F_37(x) + F_426(x))
Eq(F_426(x), F_427(x))
Eq(F_427(x), F_15(x)*F_428(x))
Eq(F_428(x), F_429(x))
Eq(F_429(x), F_15(x)*F_359(x))
Eq(F_430(x), F_15(x)*F_431(x))
Eq(F_431(x), F_402(x) + F_414(x))
Eq(F_432(x), F_247(x) + F_433(x))
Eq(F_433(x), F_10(x)*F_93(x))
Eq(F_434(x), F_435(x))
Eq(F_435(x), F_10(x)*F_15(x)*F_420(x)*F_93(x))
Eq(F_436(x), F_437(x))
Eq(F_437(x), F_15(x)*F_438(x))
Eq(F_438(x), F_439(x) + F_442(x))
Eq(F_439(x), F_247(x)*F_440(x))
Eq(F_440(x), F_441(x)/F_15(x))
Eq(F_441(x), F_328(x))
Eq(F_442(x), F_443(x))
Eq(F_443(x), F_444(x)/F_15(x))
Eq(F_444(x), F_445(x))
Eq(F_445(x), F_15(x)*F_331(x)*F_341(x))
Eq(F_446(x), F_447(x))
Eq(F_447(x), F_15(x)*F_16(x)*F_448(x))
Eq(F_448(x), -F_410(x) + F_449(x))
Eq(F_449(x), F_450(x)/(F_10(x)*F_15(x)))
Eq(F_450(x), F_451(x))
Eq(F_451(x), F_452(x)/F_15(x))
Eq(F_452(x), F_453(x))
Eq(F_453(x), F_408(x) - F_454(x))
Eq(F_454(x), -F_4(x) + F_455(x))
Eq(F_455(x), F_278(x) + F_391(x))
Eq(F_456(x), F_359(x)*F_79(x))
Eq(F_457(x), F_458(x))
Eq(F_458(x), F_15(x)*F_459(x))
Eq(F_459(x), F_460(x))
Eq(F_460(x), F_15(x)*F_359(x)*F_461(x))
Eq(F_461(x), F_462(x)/F_15(x))
Eq(F_462(x), F_463(x))
Eq(F_463(x), F_464(x)/F_15(x))
Eq(F_464(x), F_81(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": 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0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "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], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "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": [], "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://www.permpal.com/tree/24830/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[368,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[12,x] = F[13,x]*F[15,x]*F[16,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[5,x]
F[15,x] = x
F[16,x] = 1/F[15,x]/F[367,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[81,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[15,x]*F[21,x]
F[21,x] = F[22,x]+F[87,x]
F[22,x] = F[18,x]+F[23,x]
F[23,x] = 1/F[15,x]*F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[26,x]+F[81,x]
F[26,x] = F[15,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[15,x]*F[29,x]
F[29,x] = F[25,x]+F[30,x]
F[30,x] = F[26,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[15,x]*F[33,x]*F[71,x]
F[33,x] = F[34,x]+F[39,x]
F[34,x] = F[15,x]+F[35,x]
F[35,x] = F[36,x]+F[37,x]+F[38,x]
F[36,x] = 0
F[37,x] = x^2
F[38,x] = x^2
F[39,x] = F[40,x]
F[40,x] = F[15,x]*F[41,x]
F[41,x] = F[42,x]+F[57,x]
F[42,x] = F[43,x]+F[56,x]
F[43,x] = F[15,x]*F[44,x]
F[44,x] = F[45,x]+F[54,x]
F[45,x] = F[46,x]+F[47,x]
F[46,x] = F[1,x]+F[15,x]
F[47,x] = F[48,x]
F[48,x] = F[15,x]*F[49,x]
F[49,x] = F[44,x]+F[50,x]
F[50,x] = F[15,x]*F[51,x]
F[51,x] = F[10,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[10,x]*F[15,x]*F[44,x]
F[54,x] = F[55,x]
F[55,x] = F[15,x]*F[44,x]*F[45,x]
F[56,x] = F[35,x]*F[51,x]
F[57,x] = F[58,x]+F[64,x]
F[58,x] = F[33,x]+F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[15,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[33,x]*F[44,x]
F[63,x] = F[45,x]*F[58,x]
F[64,x] = F[15,x]*F[65,x]
F[65,x] = F[26,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[15,x]*F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[26,x]*F[44,x]
F[70,x] = F[10,x]*F[58,x]
F[71,x] = F[10,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[15,x]*F[74,x]
F[74,x] = F[75,x]+F[78,x]
F[75,x] = F[51,x]+F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[15,x]*F[44,x]*F[71,x]
F[78,x] = F[10,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[15,x]*F[71,x]
F[81,x] = F[82,x]+F[84,x]
F[82,x] = F[15,x]*F[83,x]
F[83,x] = x*(1+F[83,x])^2*(x*F[83,x]+1)
F[84,x] = F[85,x]
F[85,x] = F[15,x]*F[29,x]*F[86,x]
F[86,x] = F[15,x]+F[47,x]
F[87,x] = F[88,x]+F[99,x]
F[88,x] = F[16,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[15,x]*F[91,x]
F[91,x] = F[92,x]+F[95,x]
F[92,x] = F[1,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[15,x]*F[92,x]
F[95,x] = F[15,x]+F[96,x]
F[96,x] = F[36,x]+F[97,x]+F[98,x]
F[97,x] = F[15,x]*F[93,x]
F[98,x] = F[15,x]*F[95,x]
F[99,x] = -F[18,x]+F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[15,x]*F[16,x]
F[102,x] = -F[238,x]+F[103,x]
F[103,x] = 1/F[15,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = -F[117,x]+F[106,x]
F[106,x] = 1/F[15,x]*F[107,x]
F[107,x] = F[108,x]
F[108,x] = -F[83,x]+F[109,x]
F[109,x] = -F[0,x]+F[110,x]
F[110,x] = F[10,x]+F[111,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[15,x]
F[113,x] = 1/F[15,x]*F[114,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]+F[2,x]
F[116,x] = -F[83,x]+F[5,x]
F[117,x] = -F[120,x]+F[118,x]
F[118,x] = 1/F[15,x]*F[119,x]
F[119,x] = F[109,x]
F[120,x] = F[121,x]+F[216,x]
F[121,x] = F[122,x]+F[153,x]
F[122,x] = F[1,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[15,x]
F[125,x] = F[126,x]+F[129,x]
F[126,x] = F[1,x]+F[127,x]
F[127,x] = F[128,x]
F[128,x] = F[92,x]^2*F[15,x]
F[129,x] = F[123,x]+F[130,x]
F[130,x] = F[131,x]+F[143,x]+F[36,x]
F[131,x] = F[132,x]*F[15,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[127,x]
F[134,x] = F[135,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[15,x]
F[137,x] = F[138,x]+F[139,x]
F[138,x] = F[123,x]+F[135,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[15,x]
F[142,x] = F[123,x]+F[140,x]
F[143,x] = F[144,x]*F[15,x]
F[144,x] = F[129,x]+F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]+F[151,x]+F[36,x]
F[147,x] = F[148,x]*F[15,x]
F[148,x] = F[149,x]+F[150,x]
F[149,x] = F[93,x]
F[150,x] = F[140,x]
F[151,x] = F[15,x]*F[152,x]
F[152,x] = F[123,x]+F[146,x]
F[153,x] = F[154,x]+F[89,x]
F[154,x] = F[155,x]+F[164,x]+F[36,x]
F[155,x] = F[15,x]*F[156,x]
F[156,x] = F[157,x]+F[160,x]
F[157,x] = F[158,x]+F[93,x]
F[158,x] = F[159,x]
F[159,x] = F[15,x]*F[157,x]
F[160,x] = F[158,x]+F[161,x]
F[161,x] = F[162,x]
F[162,x] = F[15,x]*F[163,x]
F[163,x] = F[158,x]+F[161,x]
F[164,x] = F[15,x]*F[165,x]
F[165,x] = F[166,x]+F[180,x]
F[166,x] = F[167,x]+F[89,x]
F[167,x] = F[168,x]+F[170,x]+F[36,x]
F[168,x] = F[15,x]*F[169,x]
F[169,x] = F[157,x]
F[170,x] = F[15,x]*F[171,x]
F[171,x] = F[172,x]+F[174,x]
F[172,x] = F[173,x]+F[89,x]
F[173,x] = F[170,x]
F[174,x] = F[175,x]+F[177,x]
F[175,x] = F[176,x]
F[176,x] = F[15,x]*F[89,x]
F[177,x] = F[178,x]
F[178,x] = F[15,x]*F[179,x]
F[179,x] = F[174,x]
F[180,x] = F[154,x]+F[181,x]
F[181,x] = F[182,x]+F[184,x]+F[198,x]+F[36,x]
F[182,x] = F[15,x]*F[183,x]
F[183,x] = F[163,x]
F[184,x] = F[15,x]*F[185,x]
F[185,x] = F[186,x]+F[196,x]
F[186,x] = F[173,x]+F[187,x]
F[187,x] = 2*F[36,x]+F[178,x]+F[188,x]
F[188,x] = F[15,x]*F[189,x]
F[189,x] = F[190,x]+F[192,x]
F[190,x] = F[173,x]+F[191,x]
F[191,x] = 2*F[36,x]+F[178,x]+F[188,x]
F[192,x] = F[177,x]+F[193,x]
F[193,x] = F[194,x]
F[194,x] = F[15,x]*F[195,x]
F[195,x] = F[192,x]
F[196,x] = F[197,x]+F[207,x]
F[197,x] = F[198,x]
F[198,x] = F[15,x]*F[199,x]
F[199,x] = F[200,x]+F[201,x]
F[200,x] = F[154,x]+F[197,x]
F[201,x] = F[202,x]+F[204,x]
F[202,x] = F[203,x]
F[203,x] = F[15,x]*F[154,x]
F[204,x] = F[205,x]
F[205,x] = F[15,x]*F[206,x]
F[206,x] = F[201,x]
F[207,x] = 3*F[36,x]+F[205,x]+F[208,x]
F[208,x] = F[15,x]*F[209,x]
F[209,x] = F[210,x]+F[212,x]
F[210,x] = F[197,x]+F[211,x]
F[211,x] = 3*F[36,x]+F[205,x]+F[208,x]
F[212,x] = F[204,x]+F[213,x]
F[213,x] = F[214,x]
F[214,x] = F[15,x]*F[215,x]
F[215,x] = F[212,x]
F[216,x] = F[217,x]+F[218,x]
F[217,x] = F[83,x]*F[92,x]
F[218,x] = F[219,x]
F[219,x] = F[15,x]*F[220,x]
F[220,x] = F[221,x]+F[229,x]
F[221,x] = F[222,x]*F[83,x]
F[222,x] = F[223,x]+F[226,x]
F[223,x] = F[224,x]*F[92,x]
F[224,x] = F[225,x]+F[93,x]
F[225,x] = F[1,x]+F[89,x]
F[226,x] = F[227,x]+F[228,x]
F[227,x] = F[224,x]*F[93,x]
F[228,x] = F[15,x]*F[92,x]*F[93,x]
F[229,x] = F[230,x]*F[92,x]
F[230,x] = -F[237,x]+F[231,x]
F[231,x] = F[232,x]+F[236,x]
F[232,x] = -F[235,x]+F[233,x]
F[233,x] = 1/F[15,x]*F[234,x]
F[234,x] = F[72,x]
F[235,x] = F[79,x]*F[92,x]
F[236,x] = F[71,x]*F[93,x]
F[237,x] = F[10,x]*F[224,x]
F[238,x] = -F[364,x]+F[239,x]
F[239,x] = 1/F[15,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = -F[363,x]+F[242,x]
F[242,x] = -F[245,x]+F[243,x]
F[243,x] = 1/F[15,x]*F[244,x]
F[244,x] = F[116,x]
F[245,x] = F[246,x]+F[250,x]
F[246,x] = F[2,x]*F[247,x]
F[247,x] = F[10,x]+F[248,x]
F[248,x] = F[249,x]
F[249,x] = F[15,x]*F[231,x]
F[250,x] = F[251,x]
F[251,x] = F[15,x]*F[252,x]
F[252,x] = F[253,x]+F[360,x]
F[253,x] = F[254,x]+F[352,x]
F[254,x] = F[255,x]*F[341,x]
F[255,x] = F[2,x]+F[256,x]
F[256,x] = F[257,x]
F[257,x] = F[15,x]*F[258,x]
F[258,x] = F[259,x]+F[276,x]
F[259,x] = F[255,x]+F[260,x]
F[260,x] = F[261,x]+F[262,x]
F[261,x] = F[2,x]*F[89,x]
F[262,x] = F[263,x]
F[263,x] = F[15,x]*F[264,x]
F[264,x] = F[265,x]+F[274,x]
F[265,x] = F[266,x]+F[267,x]
F[266,x] = F[259,x]*F[89,x]
F[267,x] = F[255,x]*F[268,x]
F[268,x] = F[269,x]+F[89,x]
F[269,x] = F[155,x]+F[270,x]+F[36,x]
F[270,x] = F[15,x]*F[271,x]
F[271,x] = F[272,x]+F[273,x]
F[272,x] = F[158,x]+F[93,x]
F[273,x] = F[158,x]+F[161,x]
F[274,x] = F[275,x]+F[327,x]
F[275,x] = F[276,x]*F[89,x]
F[276,x] = -F[277,x]+F[13,x]
F[277,x] = F[278,x]+F[279,x]
F[278,x] = F[122,x]+F[255,x]
F[279,x] = F[260,x]+F[280,x]
F[280,x] = F[281,x]+F[89,x]
F[281,x] = F[282,x]+F[293,x]+F[36,x]
F[282,x] = F[15,x]*F[283,x]
F[283,x] = F[284,x]+F[285,x]
F[284,x] = F[128,x]
F[285,x] = F[286,x]+F[35,x]
F[286,x] = F[287,x]+F[291,x]+F[292,x]+F[36,x]
F[287,x] = F[15,x]*F[288,x]
F[288,x] = F[289,x]+F[290,x]+F[36,x]
F[289,x] = F[15,x]*F[284,x]
F[290,x] = F[15,x]*F[93,x]
F[291,x] = F[15,x]*F[285,x]
F[292,x] = F[15,x]*F[96,x]
F[293,x] = F[15,x]*F[294,x]
F[294,x] = F[295,x]+F[303,x]
F[295,x] = F[296,x]+F[89,x]
F[296,x] = F[297,x]
F[297,x] = F[15,x]*F[298,x]
F[298,x] = F[295,x]+F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[301,x]
F[301,x] = F[15,x]*F[302,x]
F[302,x] = F[300,x]+F[89,x]
F[303,x] = F[281,x]+F[304,x]
F[304,x] = 2*F[36,x]+F[305,x]+F[317,x]
F[305,x] = F[15,x]*F[306,x]
F[306,x] = F[307,x]+F[308,x]
F[307,x] = F[296,x]
F[308,x] = F[309,x]
F[309,x] = F[310,x]
F[310,x] = F[15,x]*F[311,x]
F[311,x] = F[312,x]+F[313,x]
F[312,x] = F[281,x]+F[309,x]
F[313,x] = F[314,x]
F[314,x] = F[315,x]
F[315,x] = F[15,x]*F[316,x]
F[316,x] = F[281,x]+F[314,x]
F[317,x] = F[15,x]*F[318,x]
F[318,x] = F[303,x]+F[319,x]
F[319,x] = F[320,x]
F[320,x] = 2*F[36,x]+F[321,x]+F[325,x]
F[321,x] = F[15,x]*F[322,x]
F[322,x] = F[323,x]+F[324,x]
F[323,x] = F[300,x]
F[324,x] = F[314,x]
F[325,x] = F[15,x]*F[326,x]
F[326,x] = F[281,x]+F[320,x]
F[327,x] = F[268,x]*F[328,x]
F[328,x] = F[329,x]+F[5,x]
F[329,x] = F[330,x]
F[330,x] = F[15,x]*F[331,x]
F[331,x] = F[332,x]+F[334,x]
F[332,x] = F[333,x]
F[333,x] = F[15,x]*F[247,x]*F[278,x]
F[334,x] = F[335,x]
F[335,x] = F[15,x]*F[336,x]
F[336,x] = F[337,x]+F[338,x]
F[337,x] = F[247,x]*F[328,x]
F[338,x] = F[10,x]*F[339,x]
F[339,x] = F[279,x]+F[340,x]
F[340,x] = -F[328,x]+F[276,x]
F[341,x] = 1/F[15,x]*F[342,x]
F[342,x] = F[343,x]
F[343,x] = -F[350,x]+F[344,x]
F[344,x] = -F[347,x]+F[345,x]
F[345,x] = 1/F[15,x]*F[346,x]
F[346,x] = F[108,x]
F[347,x] = -F[348,x]+F[113,x]
F[348,x] = F[16,x]+F[349,x]
F[349,x] = F[115,x]+F[350,x]
F[350,x] = F[351,x]
F[351,x] = F[15,x]*F[242,x]
F[352,x] = F[260,x]*F[353,x]
F[353,x] = 1/F[339,x]*F[354,x]
F[354,x] = -F[358,x]+F[355,x]
F[355,x] = 1/F[15,x]*F[356,x]
F[356,x] = F[357,x]
F[357,x] = F[242,x]+F[250,x]
F[358,x] = F[341,x]*F[359,x]
F[359,x] = F[278,x]+F[328,x]
F[360,x] = F[361,x]+F[362,x]
F[361,x] = F[328,x]*F[341,x]
F[362,x] = F[340,x]*F[353,x]
F[363,x] = F[123,x]+F[281,x]
F[364,x] = -F[103,x]+F[365,x]
F[365,x] = 1/F[15,x]*F[366,x]
F[366,x] = F[242,x]
F[367,x] = F[122,x]+F[280,x]
F[368,x] = F[369,x]+F[457,x]
F[369,x] = F[370,x]
F[370,x] = F[15,x]*F[371,x]
F[371,x] = F[372,x]+F[456,x]
F[372,x] = F[373,x]+F[374,x]
F[373,x] = F[10,x]*F[359,x]
F[374,x] = F[375,x]
F[375,x] = F[15,x]*F[376,x]
F[376,x] = F[377,x]+F[380,x]
F[377,x] = F[10,x]*F[378,x]
F[378,x] = 1/F[15,x]*F[379,x]
F[379,x] = F[339,x]
F[380,x] = F[381,x]*F[79,x]
F[381,x] = 1/F[15,x]*F[382,x]
F[382,x] = F[383,x]
F[383,x] = 1/F[10,x]*F[384,x]
F[384,x] = -F[446,x]+F[385,x]
F[385,x] = -F[436,x]+F[386,x]
F[386,x] = 1/F[15,x]*F[387,x]
F[387,x] = F[388,x]
F[388,x] = -F[391,x]+F[389,x]
F[389,x] = F[390,x]
F[390,x] = F[15,x]*F[378,x]
F[391,x] = F[392,x]+F[393,x]
F[392,x] = F[46,x]*F[83,x]
F[393,x] = F[394,x]
F[394,x] = F[15,x]*F[395,x]
F[395,x] = F[396,x]+F[412,x]
F[396,x] = F[397,x]+F[401,x]
F[397,x] = F[398,x]+F[399,x]
F[398,x] = F[4,x]*F[83,x]
F[399,x] = F[400,x]
F[400,x] = F[15,x]*F[355,x]
F[401,x] = F[402,x]*F[83,x]
F[402,x] = F[403,x]
F[403,x] = F[15,x]*F[404,x]
F[404,x] = F[405,x]+F[51,x]
F[405,x] = -F[408,x]+F[406,x]
F[406,x] = 1/F[15,x]*F[407,x]
F[407,x] = F[116,x]
F[408,x] = F[409,x]
F[409,x] = F[15,x]*F[410,x]
F[410,x] = 1/F[15,x]*F[411,x]
F[411,x] = F[331,x]
F[412,x] = F[413,x]+F[417,x]
F[413,x] = F[414,x]*F[83,x]
F[414,x] = F[415,x]
F[415,x] = F[15,x]*F[416,x]
F[416,x] = F[331,x]+F[4,x]
F[417,x] = -F[434,x]+F[418,x]
F[418,x] = F[419,x]
F[419,x] = F[15,x]*F[420,x]*F[432,x]
F[420,x] = 1/F[15,x]*F[421,x]
F[421,x] = F[422,x]
F[422,x] = -F[430,x]+F[423,x]
F[423,x] = 1/F[15,x]*F[424,x]
F[424,x] = F[425,x]
F[425,x] = -F[37,x]+F[426,x]
F[426,x] = F[427,x]
F[427,x] = F[15,x]*F[428,x]
F[428,x] = F[429,x]
F[429,x] = F[15,x]*F[359,x]
F[430,x] = F[15,x]*F[431,x]
F[431,x] = F[402,x]+F[414,x]
F[432,x] = F[247,x]+F[433,x]
F[433,x] = F[10,x]*F[93,x]
F[434,x] = F[435,x]
F[435,x] = F[10,x]*F[15,x]*F[420,x]*F[93,x]
F[436,x] = F[437,x]
F[437,x] = F[15,x]*F[438,x]
F[438,x] = F[439,x]+F[442,x]
F[439,x] = F[247,x]*F[440,x]
F[440,x] = 1/F[15,x]*F[441,x]
F[441,x] = F[328,x]
F[442,x] = F[443,x]
F[443,x] = 1/F[15,x]*F[444,x]
F[444,x] = F[445,x]
F[445,x] = F[15,x]*F[331,x]*F[341,x]
F[446,x] = F[447,x]
F[447,x] = F[15,x]*F[16,x]*F[448,x]
F[448,x] = -F[410,x]+F[449,x]
F[449,x] = 1/F[10,x]/F[15,x]*F[450,x]
F[450,x] = F[451,x]
F[451,x] = 1/F[15,x]*F[452,x]
F[452,x] = F[453,x]
F[453,x] = -F[454,x]+F[408,x]
F[454,x] = -F[4,x]+F[455,x]
F[455,x] = F[278,x]+F[391,x]
F[456,x] = F[359,x]*F[79,x]
F[457,x] = F[458,x]
F[458,x] = F[15,x]*F[459,x]
F[459,x] = F[460,x]
F[460,x] = F[15,x]*F[359,x]*F[461,x]
F[461,x] = 1/F[15,x]*F[462,x]
F[462,x] = F[463,x]
F[463,x] = 1/F[15,x]*F[464,x]
F[464,x] = F[81,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_{15}\! \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_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{368}\! \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_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{16}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{5}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{15}\! \left(x \right) F_{367}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{15}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{87}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = \frac{F_{24}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{81}\! \left(x \right)
F_{26}\! \left(x \right) = F_{15}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{15}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{25}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{15}\! \left(x \right) F_{33}\! \left(x \right) F_{71}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{39}\! \left(x \right)
F_{34}\! \left(x \right) = F_{15}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)+F_{38}\! \left(x \right)
F_{36}\! \left(x \right) = 0
F_{37}\! \left(x \right) = x^{2}
F_{38}\! \left(x \right) = x^{2}
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{57}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{56}\! \left(x \right)
F_{43}\! \left(x \right) = F_{15}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{54}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{47}\! \left(x \right)
F_{46}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{15}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{44}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{15}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{10}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{10}\! \left(x \right) F_{15}\! \left(x \right) F_{44}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{15}\! \left(x \right) F_{44}\! \left(x \right) F_{45}\! \left(x \right)
F_{56}\! \left(x \right) = F_{35}\! \left(x \right) F_{51}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{64}\! \left(x \right)
F_{58}\! \left(x \right) = F_{33}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{15}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{33}\! \left(x \right) F_{44}\! \left(x \right)
F_{63}\! \left(x \right) = F_{45}\! \left(x \right) F_{58}\! \left(x \right)
F_{64}\! \left(x \right) = F_{15}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{26}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{15}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{26}\! \left(x \right) F_{44}\! \left(x \right)
F_{70}\! \left(x \right) = F_{10}\! \left(x \right) F_{58}\! \left(x \right)
F_{71}\! \left(x \right) = F_{10}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{78}\! \left(x \right)
F_{75}\! \left(x \right) = F_{51}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{15}\! \left(x \right) F_{44}\! \left(x \right) F_{71}\! \left(x \right)
F_{78}\! \left(x \right) = F_{10}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{15}\! \left(x \right) F_{71}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{84}\! \left(x \right)
F_{82}\! \left(x \right) = F_{15}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = x^{2} F_{83} \left(x \right)^{3}+2 x^{2} F_{83} \left(x \right)^{2}+x^{2} F_{83}\! \left(x \right)+x F_{83} \left(x \right)^{2}+2 x F_{83}\! \left(x \right)+x
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{15}\! \left(x \right) F_{29}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{15}\! \left(x \right)+F_{47}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{99}\! \left(x \right)
F_{88}\! \left(x \right) = F_{16}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{15}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{95}\! \left(x \right)
F_{92}\! \left(x \right) = F_{1}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{15}\! \left(x \right) F_{92}\! \left(x \right)
F_{95}\! \left(x \right) = F_{15}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{36}\! \left(x \right)+F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{98}\! \left(x \right) = F_{15}\! \left(x \right) F_{95}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{18}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{15}\! \left(x \right) F_{16}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{238}\! \left(x \right)+F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = -F_{83}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{10}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{15}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{2}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{83}\! \left(x \right)+F_{5}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{109}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{216}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{153}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{15}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{129}\! \left(x \right)
F_{126}\! \left(x \right) = F_{1}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{92} \left(x \right)^{2} F_{15}\! \left(x \right)
F_{129}\! \left(x \right) = F_{123}\! \left(x \right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{143}\! \left(x \right)+F_{36}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{15}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{127}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{15}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{139}\! \left(x \right)
F_{138}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{15}\! \left(x \right)
F_{142}\! \left(x \right) = F_{123}\! \left(x \right)+F_{140}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{15}\! \left(x \right)
F_{144}\! \left(x \right) = F_{129}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{151}\! \left(x \right)+F_{36}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{15}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{93}\! \left(x \right)
F_{150}\! \left(x \right) = F_{140}\! \left(x \right)
F_{151}\! \left(x \right) = F_{15}\! \left(x \right) F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{123}\! \left(x \right)+F_{146}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{89}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{164}\! \left(x \right)+F_{36}\! \left(x \right)
F_{155}\! \left(x \right) = F_{15}\! \left(x \right) F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{160}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{93}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{15}\! \left(x \right) F_{157}\! \left(x \right)
F_{160}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{15}\! \left(x \right) F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{164}\! \left(x \right) = F_{15}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{180}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{89}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{170}\! \left(x \right)+F_{36}\! \left(x \right)
F_{168}\! \left(x \right) = F_{15}\! \left(x \right) F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{157}\! \left(x \right)
F_{170}\! \left(x \right) = F_{15}\! \left(x \right) F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{174}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{89}\! \left(x \right)
F_{173}\! \left(x \right) = F_{170}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{177}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{15}\! \left(x \right) F_{89}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{15}\! \left(x \right) F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{174}\! \left(x \right)
F_{180}\! \left(x \right) = F_{154}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{184}\! \left(x \right)+F_{198}\! \left(x \right)+F_{36}\! \left(x \right)
F_{182}\! \left(x \right) = F_{15}\! \left(x \right) F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{163}\! \left(x \right)
F_{184}\! \left(x \right) = F_{15}\! \left(x \right) F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{196}\! \left(x \right)
F_{186}\! \left(x \right) = F_{173}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{178}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{15}\! \left(x \right) F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{192}\! \left(x \right)
F_{190}\! \left(x \right) = F_{173}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{178}\! \left(x \right)+F_{188}\! \left(x \right)
F_{192}\! \left(x \right) = F_{177}\! \left(x \right)+F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{15}\! \left(x \right) F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{192}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{207}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{15}\! \left(x \right) F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{201}\! \left(x \right)
F_{200}\! \left(x \right) = F_{154}\! \left(x \right)+F_{197}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{204}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{15}\! \left(x \right) F_{154}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{15}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{201}\! \left(x \right)
F_{207}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{205}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{15}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{212}\! \left(x \right)
F_{210}\! \left(x \right) = F_{197}\! \left(x \right)+F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = 3 F_{36}\! \left(x \right)+F_{205}\! \left(x \right)+F_{208}\! \left(x \right)
F_{212}\! \left(x \right) = F_{204}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{15}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{212}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{218}\! \left(x \right)
F_{217}\! \left(x \right) = F_{83}\! \left(x \right) F_{92}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{15}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{229}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{83}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{226}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right) F_{92}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{93}\! \left(x \right)
F_{225}\! \left(x \right) = F_{1}\! \left(x \right)+F_{89}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{228}\! \left(x \right)
F_{227}\! \left(x \right) = F_{224}\! \left(x \right) F_{93}\! \left(x \right)
F_{228}\! \left(x \right) = F_{15}\! \left(x \right) F_{92}\! \left(x \right) F_{93}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right) F_{92}\! \left(x \right)
F_{230}\! \left(x \right) = -F_{237}\! \left(x \right)+F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{236}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{235}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = \frac{F_{234}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{234}\! \left(x \right) = F_{72}\! \left(x \right)
F_{235}\! \left(x \right) = F_{79}\! \left(x \right) F_{92}\! \left(x \right)
F_{236}\! \left(x \right) = F_{71}\! \left(x \right) F_{93}\! \left(x \right)
F_{237}\! \left(x \right) = F_{10}\! \left(x \right) F_{224}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{364}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = -F_{363}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{245}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = \frac{F_{244}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{244}\! \left(x \right) = F_{116}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{250}\! \left(x \right)
F_{246}\! \left(x \right) = F_{2}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{10}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{15}\! \left(x \right) F_{231}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{15}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{360}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{352}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{341}\! \left(x \right)
F_{255}\! \left(x \right) = F_{2}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{15}\! \left(x \right) F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{276}\! \left(x \right)
F_{259}\! \left(x \right) = F_{255}\! \left(x \right)+F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{262}\! \left(x \right)
F_{261}\! \left(x \right) = F_{2}\! \left(x \right) F_{89}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{15}\! \left(x \right) F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)+F_{274}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{267}\! \left(x \right)
F_{266}\! \left(x \right) = F_{259}\! \left(x \right) F_{89}\! \left(x \right)
F_{267}\! \left(x \right) = F_{255}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{89}\! \left(x \right)
F_{269}\! \left(x \right) = F_{155}\! \left(x \right)+F_{270}\! \left(x \right)+F_{36}\! \left(x \right)
F_{270}\! \left(x \right) = F_{15}\! \left(x \right) F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{273}\! \left(x \right)
F_{272}\! \left(x \right) = F_{158}\! \left(x \right)+F_{93}\! \left(x \right)
F_{273}\! \left(x \right) = F_{158}\! \left(x \right)+F_{161}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{327}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{89}\! \left(x \right)
F_{276}\! \left(x \right) = -F_{277}\! \left(x \right)+F_{13}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{279}\! \left(x \right)
F_{278}\! \left(x \right) = F_{122}\! \left(x \right)+F_{255}\! \left(x \right)
F_{279}\! \left(x \right) = F_{260}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{89}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{293}\! \left(x \right)+F_{36}\! \left(x \right)
F_{282}\! \left(x \right) = F_{15}\! \left(x \right) F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{285}\! \left(x \right)
F_{284}\! \left(x \right) = F_{128}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{35}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{291}\! \left(x \right)+F_{292}\! \left(x \right)+F_{36}\! \left(x \right)
F_{287}\! \left(x \right) = F_{15}\! \left(x \right) F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{290}\! \left(x \right)+F_{36}\! \left(x \right)
F_{289}\! \left(x \right) = F_{15}\! \left(x \right) F_{284}\! \left(x \right)
F_{290}\! \left(x \right) = F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{291}\! \left(x \right) = F_{15}\! \left(x \right) F_{285}\! \left(x \right)
F_{292}\! \left(x \right) = F_{15}\! \left(x \right) F_{96}\! \left(x \right)
F_{293}\! \left(x \right) = F_{15}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{303}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{89}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{15}\! \left(x \right) F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{295}\! \left(x \right)+F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{15}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{300}\! \left(x \right)+F_{89}\! \left(x \right)
F_{303}\! \left(x \right) = F_{281}\! \left(x \right)+F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{305}\! \left(x \right)+F_{317}\! \left(x \right)
F_{305}\! \left(x \right) = F_{15}\! \left(x \right) F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{308}\! \left(x \right)
F_{307}\! \left(x \right) = F_{296}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{15}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{313}\! \left(x \right)
F_{312}\! \left(x \right) = F_{281}\! \left(x \right)+F_{309}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{15}\! \left(x \right) F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{281}\! \left(x \right)+F_{314}\! \left(x \right)
F_{317}\! \left(x \right) = F_{15}\! \left(x \right) F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{303}\! \left(x \right)+F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = 2 F_{36}\! \left(x \right)+F_{321}\! \left(x \right)+F_{325}\! \left(x \right)
F_{321}\! \left(x \right) = F_{15}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{324}\! \left(x \right)
F_{323}\! \left(x \right) = F_{300}\! \left(x \right)
F_{324}\! \left(x \right) = F_{314}\! \left(x \right)
F_{325}\! \left(x \right) = F_{15}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{281}\! \left(x \right)+F_{320}\! \left(x \right)
F_{327}\! \left(x \right) = F_{268}\! \left(x \right) F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)+F_{5}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{15}\! \left(x \right) F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{334}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{15}\! \left(x \right) F_{247}\! \left(x \right) F_{278}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{15}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)+F_{338}\! \left(x \right)
F_{337}\! \left(x \right) = F_{247}\! \left(x \right) F_{328}\! \left(x \right)
F_{338}\! \left(x \right) = F_{10}\! \left(x \right) F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{279}\! \left(x \right)+F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = -F_{328}\! \left(x \right)+F_{276}\! \left(x \right)
F_{341}\! \left(x \right) = \frac{F_{342}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = -F_{350}\! \left(x \right)+F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = -F_{347}\! \left(x \right)+F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = \frac{F_{346}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{346}\! \left(x \right) = F_{108}\! \left(x \right)
F_{347}\! \left(x \right) = -F_{348}\! \left(x \right)+F_{113}\! \left(x \right)
F_{348}\! \left(x \right) = F_{16}\! \left(x \right)+F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{115}\! \left(x \right)+F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = F_{15}\! \left(x \right) F_{242}\! \left(x \right)
F_{352}\! \left(x \right) = F_{260}\! \left(x \right) F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = \frac{F_{354}\! \left(x \right)}{F_{339}\! \left(x \right)}
F_{354}\! \left(x \right) = -F_{358}\! \left(x \right)+F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = \frac{F_{356}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{242}\! \left(x \right)+F_{250}\! \left(x \right)
F_{358}\! \left(x \right) = F_{341}\! \left(x \right) F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{278}\! \left(x \right)+F_{328}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{362}\! \left(x \right)
F_{361}\! \left(x \right) = F_{328}\! \left(x \right) F_{341}\! \left(x \right)
F_{362}\! \left(x \right) = F_{340}\! \left(x \right) F_{353}\! \left(x \right)
F_{363}\! \left(x \right) = F_{123}\! \left(x \right)+F_{281}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = \frac{F_{366}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{366}\! \left(x \right) = F_{242}\! \left(x \right)
F_{367}\! \left(x \right) = F_{122}\! \left(x \right)+F_{280}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)+F_{457}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{15}\! \left(x \right) F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{372}\! \left(x \right)+F_{456}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{374}\! \left(x \right)
F_{373}\! \left(x \right) = F_{10}\! \left(x \right) F_{359}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{15}\! \left(x \right) F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)+F_{380}\! \left(x \right)
F_{377}\! \left(x \right) = F_{10}\! \left(x \right) F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = \frac{F_{379}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{379}\! \left(x \right) = F_{339}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right) F_{79}\! \left(x \right)
F_{381}\! \left(x \right) = \frac{F_{382}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = \frac{F_{384}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{384}\! \left(x \right) = -F_{446}\! \left(x \right)+F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = -F_{436}\! \left(x \right)+F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = \frac{F_{387}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = -F_{391}\! \left(x \right)+F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{15}\! \left(x \right) F_{378}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)+F_{393}\! \left(x \right)
F_{392}\! \left(x \right) = F_{46}\! \left(x \right) F_{83}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)
F_{394}\! \left(x \right) = F_{15}\! \left(x \right) F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{412}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)+F_{401}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{399}\! \left(x \right)
F_{398}\! \left(x \right) = F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{15}\! \left(x \right) F_{355}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right) F_{83}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{15}\! \left(x \right) F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)+F_{51}\! \left(x \right)
F_{405}\! \left(x \right) = -F_{408}\! \left(x \right)+F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = \frac{F_{407}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{407}\! \left(x \right) = F_{116}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{15}\! \left(x \right) F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = \frac{F_{411}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{411}\! \left(x \right) = F_{331}\! \left(x \right)
F_{412}\! \left(x \right) = F_{413}\! \left(x \right)+F_{417}\! \left(x \right)
F_{413}\! \left(x \right) = F_{414}\! \left(x \right) F_{83}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{15}\! \left(x \right) F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = F_{331}\! \left(x \right)+F_{4}\! \left(x \right)
F_{417}\! \left(x \right) = -F_{434}\! \left(x \right)+F_{418}\! \left(x \right)
F_{418}\! \left(x \right) = F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = F_{15}\! \left(x \right) F_{420}\! \left(x \right) F_{432}\! \left(x \right)
F_{420}\! \left(x \right) = \frac{F_{421}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{421}\! \left(x \right) = F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = -F_{430}\! \left(x \right)+F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = \frac{F_{424}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{424}\! \left(x \right) = F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = F_{15}\! \left(x \right) F_{428}\! \left(x \right)
F_{428}\! \left(x \right) = F_{429}\! \left(x \right)
F_{429}\! \left(x \right) = F_{15}\! \left(x \right) F_{359}\! \left(x \right)
F_{430}\! \left(x \right) = F_{15}\! \left(x \right) F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{402}\! \left(x \right)+F_{414}\! \left(x \right)
F_{432}\! \left(x \right) = F_{247}\! \left(x \right)+F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{10}\! \left(x \right) F_{93}\! \left(x \right)
F_{434}\! \left(x \right) = F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{10}\! \left(x \right) F_{15}\! \left(x \right) F_{420}\! \left(x \right) F_{93}\! \left(x \right)
F_{436}\! \left(x \right) = F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = F_{15}\! \left(x \right) F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)+F_{442}\! \left(x \right)
F_{439}\! \left(x \right) = F_{247}\! \left(x \right) F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = \frac{F_{441}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{441}\! \left(x \right) = F_{328}\! \left(x \right)
F_{442}\! \left(x \right) = F_{443}\! \left(x \right)
F_{443}\! \left(x \right) = \frac{F_{444}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = F_{15}\! \left(x \right) F_{331}\! \left(x \right) F_{341}\! \left(x \right)
F_{446}\! \left(x \right) = F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{15}\! \left(x \right) F_{16}\! \left(x \right) F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = -F_{410}\! \left(x \right)+F_{449}\! \left(x \right)
F_{449}\! \left(x \right) = \frac{F_{450}\! \left(x \right)}{F_{10}\! \left(x \right) F_{15}\! \left(x \right)}
F_{450}\! \left(x \right) = F_{451}\! \left(x \right)
F_{451}\! \left(x \right) = \frac{F_{452}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{452}\! \left(x \right) = F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = -F_{454}\! \left(x \right)+F_{408}\! \left(x \right)
F_{454}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{278}\! \left(x \right)+F_{391}\! \left(x \right)
F_{456}\! \left(x \right) = F_{359}\! \left(x \right) F_{79}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)
F_{458}\! \left(x \right) = F_{15}\! \left(x \right) F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{460}\! \left(x \right)
F_{460}\! \left(x \right) = F_{15}\! \left(x \right) F_{359}\! \left(x \right) F_{461}\! \left(x \right)
F_{461}\! \left(x \right) = \frac{F_{462}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{462}\! \left(x \right) = F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = \frac{F_{464}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{464}\! \left(x \right) = F_{81}\! \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_15(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_15(x)*F_7(x))
Eq(F_7(x), F_368(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))
Eq(F_12(x), F_13(x)*F_15(x)*F_16(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_5(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x)/(F_15(x)*F_367(x)))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) - F_81(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_15(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_87(x))
Eq(F_22(x), F_18(x) + F_23(x))
Eq(F_23(x), F_24(x)/F_15(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_26(x) + F_81(x))
Eq(F_26(x), F_15(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_15(x)*F_29(x))
Eq(F_29(x), F_25(x) + F_30(x))
Eq(F_30(x), F_26(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_15(x)*F_33(x)*F_71(x))
Eq(F_33(x), F_34(x) + F_39(x))
Eq(F_34(x), F_15(x) + F_35(x))
Eq(F_35(x), F_36(x) + F_37(x) + F_38(x))
Eq(F_36(x), 0)
Eq(F_37(x), x**2)
Eq(F_38(x), x**2)
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_15(x)*F_41(x))
Eq(F_41(x), F_42(x) + F_57(x))
Eq(F_42(x), F_43(x) + F_56(x))
Eq(F_43(x), F_15(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_54(x))
Eq(F_45(x), F_46(x) + F_47(x))
Eq(F_46(x), F_1(x) + F_15(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_15(x)*F_49(x))
Eq(F_49(x), F_44(x) + F_50(x))
Eq(F_50(x), F_15(x)*F_51(x))
Eq(F_51(x), F_10(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_10(x)*F_15(x)*F_44(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_15(x)*F_44(x)*F_45(x))
Eq(F_56(x), F_35(x)*F_51(x))
Eq(F_57(x), F_58(x) + F_64(x))
Eq(F_58(x), F_33(x) + F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_15(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_33(x)*F_44(x))
Eq(F_63(x), F_45(x)*F_58(x))
Eq(F_64(x), F_15(x)*F_65(x))
Eq(F_65(x), F_26(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_15(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_26(x)*F_44(x))
Eq(F_70(x), F_10(x)*F_58(x))
Eq(F_71(x), F_10(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_15(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_78(x))
Eq(F_75(x), F_51(x) + F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_15(x)*F_44(x)*F_71(x))
Eq(F_78(x), F_10(x)*F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_15(x)*F_71(x))
Eq(F_81(x), F_82(x) + F_84(x))
Eq(F_82(x), F_15(x)*F_83(x))
Eq(F_83(x), x**2*(F_83(x) + 1)**3 - x*(x - 1)*(F_83(x) + 1)**2)
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_15(x)*F_29(x)*F_86(x))
Eq(F_86(x), F_15(x) + F_47(x))
Eq(F_87(x), F_88(x) + F_99(x))
Eq(F_88(x), F_16(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_15(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_95(x))
Eq(F_92(x), F_1(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_15(x)*F_92(x))
Eq(F_95(x), F_15(x) + F_96(x))
Eq(F_96(x), F_36(x) + F_97(x) + F_98(x))
Eq(F_97(x), F_15(x)*F_93(x))
Eq(F_98(x), F_15(x)*F_95(x))
Eq(F_99(x), F_100(x) - F_18(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_15(x)*F_16(x))
Eq(F_102(x), F_103(x) - F_238(x))
Eq(F_103(x), F_104(x)/F_15(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x) - F_117(x))
Eq(F_106(x), F_107(x)/F_15(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x) - F_83(x))
Eq(F_109(x), -F_0(x) + F_110(x))
Eq(F_110(x), F_10(x) + F_111(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_15(x))
Eq(F_113(x), F_114(x)/F_15(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x) + F_2(x))
Eq(F_116(x), F_5(x) - F_83(x))
Eq(F_117(x), F_118(x) - F_120(x))
Eq(F_118(x), F_119(x)/F_15(x))
Eq(F_119(x), F_109(x))
Eq(F_120(x), F_121(x) + F_216(x))
Eq(F_121(x), F_122(x) + F_153(x))
Eq(F_122(x), F_1(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_15(x))
Eq(F_125(x), F_126(x) + F_129(x))
Eq(F_126(x), F_1(x) + F_127(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_15(x)*F_92(x)**2)
Eq(F_129(x), F_123(x) + F_130(x))
Eq(F_130(x), F_131(x) + F_143(x) + F_36(x))
Eq(F_131(x), F_132(x)*F_15(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_127(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_15(x))
Eq(F_137(x), F_138(x) + F_139(x))
Eq(F_138(x), F_123(x) + F_135(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_15(x))
Eq(F_142(x), F_123(x) + F_140(x))
Eq(F_143(x), F_144(x)*F_15(x))
Eq(F_144(x), F_129(x) + F_145(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x) + F_151(x) + F_36(x))
Eq(F_147(x), F_148(x)*F_15(x))
Eq(F_148(x), F_149(x) + F_150(x))
Eq(F_149(x), F_93(x))
Eq(F_150(x), F_140(x))
Eq(F_151(x), F_15(x)*F_152(x))
Eq(F_152(x), F_123(x) + F_146(x))
Eq(F_153(x), F_154(x) + F_89(x))
Eq(F_154(x), F_155(x) + F_164(x) + F_36(x))
Eq(F_155(x), F_15(x)*F_156(x))
Eq(F_156(x), F_157(x) + F_160(x))
Eq(F_157(x), F_158(x) + F_93(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_15(x)*F_157(x))
Eq(F_160(x), F_158(x) + F_161(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_15(x)*F_163(x))
Eq(F_163(x), F_158(x) + F_161(x))
Eq(F_164(x), F_15(x)*F_165(x))
Eq(F_165(x), F_166(x) + F_180(x))
Eq(F_166(x), F_167(x) + F_89(x))
Eq(F_167(x), F_168(x) + F_170(x) + F_36(x))
Eq(F_168(x), F_15(x)*F_169(x))
Eq(F_169(x), F_157(x))
Eq(F_170(x), F_15(x)*F_171(x))
Eq(F_171(x), F_172(x) + F_174(x))
Eq(F_172(x), F_173(x) + F_89(x))
Eq(F_173(x), F_170(x))
Eq(F_174(x), F_175(x) + F_177(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_15(x)*F_89(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_15(x)*F_179(x))
Eq(F_179(x), F_174(x))
Eq(F_180(x), F_154(x) + F_181(x))
Eq(F_181(x), F_182(x) + F_184(x) + F_198(x) + F_36(x))
Eq(F_182(x), F_15(x)*F_183(x))
Eq(F_183(x), F_163(x))
Eq(F_184(x), F_15(x)*F_185(x))
Eq(F_185(x), F_186(x) + F_196(x))
Eq(F_186(x), F_173(x) + F_187(x))
Eq(F_187(x), F_178(x) + F_188(x) + 2*F_36(x))
Eq(F_188(x), F_15(x)*F_189(x))
Eq(F_189(x), F_190(x) + F_192(x))
Eq(F_190(x), F_173(x) + F_191(x))
Eq(F_191(x), F_178(x) + F_188(x) + 2*F_36(x))
Eq(F_192(x), F_177(x) + F_193(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_15(x)*F_195(x))
Eq(F_195(x), F_192(x))
Eq(F_196(x), F_197(x) + F_207(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_15(x)*F_199(x))
Eq(F_199(x), F_200(x) + F_201(x))
Eq(F_200(x), F_154(x) + F_197(x))
Eq(F_201(x), F_202(x) + F_204(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_15(x)*F_154(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_15(x)*F_206(x))
Eq(F_206(x), F_201(x))
Eq(F_207(x), F_205(x) + F_208(x) + 3*F_36(x))
Eq(F_208(x), F_15(x)*F_209(x))
Eq(F_209(x), F_210(x) + F_212(x))
Eq(F_210(x), F_197(x) + F_211(x))
Eq(F_211(x), F_205(x) + F_208(x) + 3*F_36(x))
Eq(F_212(x), F_204(x) + F_213(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_15(x)*F_215(x))
Eq(F_215(x), F_212(x))
Eq(F_216(x), F_217(x) + F_218(x))
Eq(F_217(x), F_83(x)*F_92(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_15(x)*F_220(x))
Eq(F_220(x), F_221(x) + F_229(x))
Eq(F_221(x), F_222(x)*F_83(x))
Eq(F_222(x), F_223(x) + F_226(x))
Eq(F_223(x), F_224(x)*F_92(x))
Eq(F_224(x), F_225(x) + F_93(x))
Eq(F_225(x), F_1(x) + F_89(x))
Eq(F_226(x), F_227(x) + F_228(x))
Eq(F_227(x), F_224(x)*F_93(x))
Eq(F_228(x), F_15(x)*F_92(x)*F_93(x))
Eq(F_229(x), F_230(x)*F_92(x))
Eq(F_230(x), F_231(x) - F_237(x))
Eq(F_231(x), F_232(x) + F_236(x))
Eq(F_232(x), F_233(x) - F_235(x))
Eq(F_233(x), F_234(x)/F_15(x))
Eq(F_234(x), F_72(x))
Eq(F_235(x), F_79(x)*F_92(x))
Eq(F_236(x), F_71(x)*F_93(x))
Eq(F_237(x), F_10(x)*F_224(x))
Eq(F_238(x), F_239(x) - F_364(x))
Eq(F_239(x), F_240(x)/F_15(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_242(x) - F_363(x))
Eq(F_242(x), F_243(x) - F_245(x))
Eq(F_243(x), F_244(x)/F_15(x))
Eq(F_244(x), F_116(x))
Eq(F_245(x), F_246(x) + F_250(x))
Eq(F_246(x), F_2(x)*F_247(x))
Eq(F_247(x), F_10(x) + F_248(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_15(x)*F_231(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_15(x)*F_252(x))
Eq(F_252(x), F_253(x) + F_360(x))
Eq(F_253(x), F_254(x) + F_352(x))
Eq(F_254(x), F_255(x)*F_341(x))
Eq(F_255(x), F_2(x) + F_256(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_15(x)*F_258(x))
Eq(F_258(x), F_259(x) + F_276(x))
Eq(F_259(x), F_255(x) + F_260(x))
Eq(F_260(x), F_261(x) + F_262(x))
Eq(F_261(x), F_2(x)*F_89(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_15(x)*F_264(x))
Eq(F_264(x), F_265(x) + F_274(x))
Eq(F_265(x), F_266(x) + F_267(x))
Eq(F_266(x), F_259(x)*F_89(x))
Eq(F_267(x), F_255(x)*F_268(x))
Eq(F_268(x), F_269(x) + F_89(x))
Eq(F_269(x), F_155(x) + F_270(x) + F_36(x))
Eq(F_270(x), F_15(x)*F_271(x))
Eq(F_271(x), F_272(x) + F_273(x))
Eq(F_272(x), F_158(x) + F_93(x))
Eq(F_273(x), F_158(x) + F_161(x))
Eq(F_274(x), F_275(x) + F_327(x))
Eq(F_275(x), F_276(x)*F_89(x))
Eq(F_276(x), F_13(x) - F_277(x))
Eq(F_277(x), F_278(x) + F_279(x))
Eq(F_278(x), F_122(x) + F_255(x))
Eq(F_279(x), F_260(x) + F_280(x))
Eq(F_280(x), F_281(x) + F_89(x))
Eq(F_281(x), F_282(x) + F_293(x) + F_36(x))
Eq(F_282(x), F_15(x)*F_283(x))
Eq(F_283(x), F_284(x) + F_285(x))
Eq(F_284(x), F_128(x))
Eq(F_285(x), F_286(x) + F_35(x))
Eq(F_286(x), F_287(x) + F_291(x) + F_292(x) + F_36(x))
Eq(F_287(x), F_15(x)*F_288(x))
Eq(F_288(x), F_289(x) + F_290(x) + F_36(x))
Eq(F_289(x), F_15(x)*F_284(x))
Eq(F_290(x), F_15(x)*F_93(x))
Eq(F_291(x), F_15(x)*F_285(x))
Eq(F_292(x), F_15(x)*F_96(x))
Eq(F_293(x), F_15(x)*F_294(x))
Eq(F_294(x), F_295(x) + F_303(x))
Eq(F_295(x), F_296(x) + F_89(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_15(x)*F_298(x))
Eq(F_298(x), F_295(x) + F_299(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_15(x)*F_302(x))
Eq(F_302(x), F_300(x) + F_89(x))
Eq(F_303(x), F_281(x) + F_304(x))
Eq(F_304(x), F_305(x) + F_317(x) + 2*F_36(x))
Eq(F_305(x), F_15(x)*F_306(x))
Eq(F_306(x), F_307(x) + F_308(x))
Eq(F_307(x), F_296(x))
Eq(F_308(x), F_309(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_15(x)*F_311(x))
Eq(F_311(x), F_312(x) + F_313(x))
Eq(F_312(x), F_281(x) + F_309(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_15(x)*F_316(x))
Eq(F_316(x), F_281(x) + F_314(x))
Eq(F_317(x), F_15(x)*F_318(x))
Eq(F_318(x), F_303(x) + F_319(x))
Eq(F_319(x), F_320(x))
Eq(F_320(x), F_321(x) + F_325(x) + 2*F_36(x))
Eq(F_321(x), F_15(x)*F_322(x))
Eq(F_322(x), F_323(x) + F_324(x))
Eq(F_323(x), F_300(x))
Eq(F_324(x), F_314(x))
Eq(F_325(x), F_15(x)*F_326(x))
Eq(F_326(x), F_281(x) + F_320(x))
Eq(F_327(x), F_268(x)*F_328(x))
Eq(F_328(x), F_329(x) + F_5(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), F_15(x)*F_331(x))
Eq(F_331(x), F_332(x) + F_334(x))
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_15(x)*F_247(x)*F_278(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_15(x)*F_336(x))
Eq(F_336(x), F_337(x) + F_338(x))
Eq(F_337(x), F_247(x)*F_328(x))
Eq(F_338(x), F_10(x)*F_339(x))
Eq(F_339(x), F_279(x) + F_340(x))
Eq(F_340(x), F_276(x) - F_328(x))
Eq(F_341(x), F_342(x)/F_15(x))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_344(x) - F_350(x))
Eq(F_344(x), F_345(x) - F_347(x))
Eq(F_345(x), F_346(x)/F_15(x))
Eq(F_346(x), F_108(x))
Eq(F_347(x), F_113(x) - F_348(x))
Eq(F_348(x), F_16(x) + F_349(x))
Eq(F_349(x), F_115(x) + F_350(x))
Eq(F_350(x), F_351(x))
Eq(F_351(x), F_15(x)*F_242(x))
Eq(F_352(x), F_260(x)*F_353(x))
Eq(F_353(x), F_354(x)/F_339(x))
Eq(F_354(x), F_355(x) - F_358(x))
Eq(F_355(x), F_356(x)/F_15(x))
Eq(F_356(x), F_357(x))
Eq(F_357(x), F_242(x) + F_250(x))
Eq(F_358(x), F_341(x)*F_359(x))
Eq(F_359(x), F_278(x) + F_328(x))
Eq(F_360(x), F_361(x) + F_362(x))
Eq(F_361(x), F_328(x)*F_341(x))
Eq(F_362(x), F_340(x)*F_353(x))
Eq(F_363(x), F_123(x) + F_281(x))
Eq(F_364(x), -F_103(x) + F_365(x))
Eq(F_365(x), F_366(x)/F_15(x))
Eq(F_366(x), F_242(x))
Eq(F_367(x), F_122(x) + F_280(x))
Eq(F_368(x), F_369(x) + F_457(x))
Eq(F_369(x), F_370(x))
Eq(F_370(x), F_15(x)*F_371(x))
Eq(F_371(x), F_372(x) + F_456(x))
Eq(F_372(x), F_373(x) + F_374(x))
Eq(F_373(x), F_10(x)*F_359(x))
Eq(F_374(x), F_375(x))
Eq(F_375(x), F_15(x)*F_376(x))
Eq(F_376(x), F_377(x) + F_380(x))
Eq(F_377(x), F_10(x)*F_378(x))
Eq(F_378(x), F_379(x)/F_15(x))
Eq(F_379(x), F_339(x))
Eq(F_380(x), F_381(x)*F_79(x))
Eq(F_381(x), F_382(x)/F_15(x))
Eq(F_382(x), F_383(x))
Eq(F_383(x), F_384(x)/F_10(x))
Eq(F_384(x), F_385(x) - F_446(x))
Eq(F_385(x), F_386(x) - F_436(x))
Eq(F_386(x), F_387(x)/F_15(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_389(x) - F_391(x))
Eq(F_389(x), F_390(x))
Eq(F_390(x), F_15(x)*F_378(x))
Eq(F_391(x), F_392(x) + F_393(x))
Eq(F_392(x), F_46(x)*F_83(x))
Eq(F_393(x), F_394(x))
Eq(F_394(x), F_15(x)*F_395(x))
Eq(F_395(x), F_396(x) + F_412(x))
Eq(F_396(x), F_397(x) + F_401(x))
Eq(F_397(x), F_398(x) + F_399(x))
Eq(F_398(x), F_4(x)*F_83(x))
Eq(F_399(x), F_400(x))
Eq(F_400(x), F_15(x)*F_355(x))
Eq(F_401(x), F_402(x)*F_83(x))
Eq(F_402(x), F_403(x))
Eq(F_403(x), F_15(x)*F_404(x))
Eq(F_404(x), F_405(x) + F_51(x))
Eq(F_405(x), F_406(x) - F_408(x))
Eq(F_406(x), F_407(x)/F_15(x))
Eq(F_407(x), F_116(x))
Eq(F_408(x), F_409(x))
Eq(F_409(x), F_15(x)*F_410(x))
Eq(F_410(x), F_411(x)/F_15(x))
Eq(F_411(x), F_331(x))
Eq(F_412(x), F_413(x) + F_417(x))
Eq(F_413(x), F_414(x)*F_83(x))
Eq(F_414(x), F_415(x))
Eq(F_415(x), F_15(x)*F_416(x))
Eq(F_416(x), F_331(x) + F_4(x))
Eq(F_417(x), F_418(x) - F_434(x))
Eq(F_418(x), F_419(x))
Eq(F_419(x), F_15(x)*F_420(x)*F_432(x))
Eq(F_420(x), F_421(x)/F_15(x))
Eq(F_421(x), F_422(x))
Eq(F_422(x), F_423(x) - F_430(x))
Eq(F_423(x), F_424(x)/F_15(x))
Eq(F_424(x), F_425(x))
Eq(F_425(x), -F_37(x) + F_426(x))
Eq(F_426(x), F_427(x))
Eq(F_427(x), F_15(x)*F_428(x))
Eq(F_428(x), F_429(x))
Eq(F_429(x), F_15(x)*F_359(x))
Eq(F_430(x), F_15(x)*F_431(x))
Eq(F_431(x), F_402(x) + F_414(x))
Eq(F_432(x), F_247(x) + F_433(x))
Eq(F_433(x), F_10(x)*F_93(x))
Eq(F_434(x), F_435(x))
Eq(F_435(x), F_10(x)*F_15(x)*F_420(x)*F_93(x))
Eq(F_436(x), F_437(x))
Eq(F_437(x), F_15(x)*F_438(x))
Eq(F_438(x), F_439(x) + F_442(x))
Eq(F_439(x), F_247(x)*F_440(x))
Eq(F_440(x), F_441(x)/F_15(x))
Eq(F_441(x), F_328(x))
Eq(F_442(x), F_443(x))
Eq(F_443(x), F_444(x)/F_15(x))
Eq(F_444(x), F_445(x))
Eq(F_445(x), F_15(x)*F_331(x)*F_341(x))
Eq(F_446(x), F_447(x))
Eq(F_447(x), F_15(x)*F_16(x)*F_448(x))
Eq(F_448(x), -F_410(x) + F_449(x))
Eq(F_449(x), F_450(x)/(F_10(x)*F_15(x)))
Eq(F_450(x), F_451(x))
Eq(F_451(x), F_452(x)/F_15(x))
Eq(F_452(x), F_453(x))
Eq(F_453(x), F_408(x) - F_454(x))
Eq(F_454(x), -F_4(x) + F_455(x))
Eq(F_455(x), F_278(x) + F_391(x))
Eq(F_456(x), F_359(x)*F_79(x))
Eq(F_457(x), F_458(x))
Eq(F_458(x), F_15(x)*F_459(x))
Eq(F_459(x), F_460(x))
Eq(F_460(x), F_15(x)*F_359(x)*F_461(x))
Eq(F_461(x), F_462(x)/F_15(x))
Eq(F_462(x), F_463(x))
Eq(F_463(x), F_464(x)/F_15(x))
Eq(F_464(x), F_81(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 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0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "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], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "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": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}

Specification 4
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://www.permpal.com/tree/25837/
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[21,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = x*(1+F[6,x])^2*(x*F[6,x]+1)
F[7,x] = F[8,x]
F[8,x] = F[21,x]*F[9,x]
F[9,x] = F[10,x]+F[46,x]
F[10,x] = F[11,x]*F[2,x]
F[11,x] = F[12,x]+F[13,x]
F[12,x] = 1+x^2*F[12,x]^3+(-x^2+x)*F[12,x]^2
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[21,x]
F[15,x] = F[16,x]+F[27,x]
F[16,x] = F[17,x]+F[29,x]
F[17,x] = F[18,x]+F[22,x]
F[18,x] = F[1,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[18,x]*F[21,x]
F[21,x] = x
F[22,x] = F[23,x]+F[24,x]+F[28,x]
F[23,x] = 0
F[24,x] = -F[1,x]-F[25,x]+F[11,x]
F[25,x] = F[21,x]*F[26,x]
F[26,x] = F[17,x]+F[27,x]
F[27,x] = F[13,x]
F[28,x] = F[21,x]*F[22,x]
F[29,x] = F[30,x]
F[30,x] = F[21,x]*F[31,x]
F[31,x] = F[32,x]+F[45,x]
F[32,x] = F[16,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[16,x]*F[21,x]*F[35,x]
F[35,x] = F[36,x]+F[39,x]
F[36,x] = F[12,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[12,x]*F[21,x]*F[35,x]
F[39,x] = F[40,x]+F[43,x]
F[40,x] = F[23,x]+F[41,x]+F[42,x]
F[41,x] = F[12,x]*F[21,x]
F[42,x] = F[21,x]*F[39,x]
F[43,x] = F[44,x]
F[44,x] = F[21,x]*F[35,x]*F[40,x]
F[45,x] = F[12,x]*F[27,x]
F[46,x] = F[47,x]
F[47,x] = F[21,x]*F[48,x]
F[48,x] = F[340,x]+F[49,x]
F[49,x] = F[50,x]*F[65,x]
F[50,x] = F[4,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[21,x]*F[53,x]
F[53,x] = F[54,x]+F[59,x]
F[54,x] = 1/F[21,x]*F[55,x]
F[55,x] = F[56,x]
F[56,x] = -F[0,x]+F[57,x]
F[57,x] = 1/F[21,x]*F[58,x]
F[58,x] = F[2,x]
F[59,x] = F[60,x]
F[60,x] = F[21,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[11,x]*F[50,x]
F[63,x] = F[12,x]*F[64,x]
F[64,x] = -F[50,x]+F[54,x]
F[65,x] = F[11,x]+F[248,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[21,x]*F[68,x]
F[68,x] = 1/F[21,x]*F[69,x]
F[69,x] = F[70,x]
F[70,x] = 1/F[21,x]*F[71,x]
F[71,x] = -F[137,x]-F[23,x]-F[339,x]+F[72,x]
F[72,x] = -F[11,x]+F[73,x]
F[73,x] = F[1,x]+F[135,x]+F[137,x]+F[74,x]
F[74,x] = F[21,x]*F[75,x]
F[75,x] = F[123,x]+F[76,x]
F[76,x] = 1/F[21,x]*F[77,x]
F[77,x] = -F[1,x]-F[120,x]-F[121,x]+F[78,x]
F[78,x] = F[111,x]+F[79,x]
F[79,x] = F[80,x]+F[81,x]
F[80,x] = F[1,x]+F[21,x]
F[81,x] = F[82,x]
F[82,x] = F[21,x]*F[83,x]
F[83,x] = F[84,x]+F[89,x]
F[84,x] = F[85,x]+F[86,x]
F[85,x] = F[12,x]*F[80,x]
F[86,x] = F[87,x]
F[87,x] = F[21,x]*F[83,x]*F[88,x]
F[88,x] = F[12,x]+F[40,x]
F[89,x] = F[90,x]+F[96,x]
F[90,x] = F[21,x]+F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[21,x]*F[93,x]
F[93,x] = F[6,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[21,x]*F[65,x]
F[96,x] = F[97,x]
F[97,x] = F[108,x]*F[21,x]*F[98,x]
F[98,x] = F[100,x]+F[107,x]+F[23,x]+F[99,x]
F[99,x] = F[21,x]*F[90,x]
F[100,x] = F[101,x]*F[21,x]
F[101,x] = F[102,x]+F[98,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[21,x]
F[104,x] = F[105,x]+F[106,x]
F[105,x] = F[35,x]*F[98,x]
F[106,x] = F[101,x]*F[88,x]
F[107,x] = F[21,x]*F[88,x]
F[108,x] = F[109,x]+F[12,x]
F[109,x] = F[110,x]
F[110,x] = F[108,x]*F[21,x]*F[88,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[21,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[18,x]*F[79,x]
F[115,x] = F[116,x]*F[12,x]
F[116,x] = F[117,x]+F[21,x]
F[117,x] = F[118,x]+F[119,x]+F[23,x]
F[118,x] = F[116,x]*F[21,x]
F[119,x] = F[19,x]*F[21,x]
F[120,x] = F[21,x]*F[78,x]
F[121,x] = F[122,x]
F[122,x] = F[12,x]*F[18,x]*F[21,x]
F[123,x] = F[124,x]
F[124,x] = 1/F[21,x]*F[125,x]
F[125,x] = -F[128,x]-F[133,x]-F[134,x]-F[23,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = -F[79,x]+F[76,x]
F[128,x] = F[129,x]*F[21,x]
F[129,x] = F[130,x]+F[17,x]
F[130,x] = F[131,x]+F[132,x]+F[23,x]+F[71,x]
F[131,x] = F[130,x]*F[21,x]
F[132,x] = F[17,x]*F[21,x]
F[133,x] = F[126,x]*F[21,x]
F[134,x] = F[21,x]*F[27,x]
F[135,x] = F[136,x]*F[21,x]
F[136,x] = F[126,x]+F[129,x]
F[137,x] = F[138,x]*F[21,x]
F[138,x] = F[139,x]+F[73,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[159,x]*F[21,x]
F[141,x] = F[142,x]+F[144,x]
F[142,x] = F[143,x]+F[80,x]
F[143,x] = F[117,x]+F[19,x]
F[144,x] = F[145,x]+F[149,x]
F[145,x] = F[146,x]+F[21,x]
F[146,x] = F[147,x]+F[148,x]+F[23,x]
F[147,x] = x^2
F[148,x] = x^2
F[149,x] = F[150,x]+F[154,x]
F[150,x] = F[151,x]+F[152,x]+F[23,x]
F[151,x] = F[19,x]*F[21,x]
F[152,x] = F[153,x]*F[21,x]
F[153,x] = F[150,x]+F[21,x]
F[154,x] = F[155,x]+F[156,x]+F[158,x]+F[23,x]
F[155,x] = F[117,x]*F[21,x]
F[156,x] = F[157,x]*F[21,x]
F[157,x] = F[146,x]+F[154,x]
F[158,x] = F[150,x]*F[21,x]
F[159,x] = F[160,x]+F[72,x]
F[160,x] = F[161,x]+F[162,x]
F[161,x] = F[12,x]+F[94,x]
F[162,x] = 1/F[202,x]*F[163,x]
F[163,x] = -F[245,x]+F[164,x]
F[164,x] = 1/F[21,x]*F[165,x]
F[165,x] = F[166,x]
F[166,x] = -F[167,x]+F[72,x]
F[167,x] = F[168,x]+F[200,x]
F[168,x] = F[169,x]
F[169,x] = F[170,x]*F[21,x]
F[170,x] = F[171,x]+F[176,x]
F[171,x] = F[1,x]+F[172,x]
F[172,x] = F[173,x]
F[173,x] = F[174,x]*F[21,x]
F[174,x] = F[171,x]+F[175,x]
F[175,x] = F[19,x]
F[176,x] = F[168,x]+F[177,x]
F[177,x] = F[178,x]+F[190,x]+F[23,x]
F[178,x] = F[179,x]*F[21,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[172,x]
F[181,x] = F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[21,x]
F[184,x] = F[185,x]+F[186,x]
F[185,x] = F[168,x]+F[182,x]
F[186,x] = F[187,x]
F[187,x] = F[188,x]
F[188,x] = F[189,x]*F[21,x]
F[189,x] = F[168,x]+F[187,x]
F[190,x] = F[191,x]*F[21,x]
F[191,x] = F[176,x]+F[192,x]
F[192,x] = F[193,x]
F[193,x] = F[194,x]+F[198,x]+F[23,x]
F[194,x] = F[195,x]*F[21,x]
F[195,x] = F[196,x]+F[197,x]
F[196,x] = F[19,x]
F[197,x] = F[187,x]
F[198,x] = F[199,x]*F[21,x]
F[199,x] = F[168,x]+F[193,x]
F[200,x] = F[201,x]
F[201,x] = F[202,x]*F[21,x]*F[93,x]
F[202,x] = F[203,x]+F[204,x]
F[203,x] = F[1,x]+F[168,x]
F[204,x] = F[205,x]+F[208,x]
F[205,x] = F[206,x]
F[206,x] = F[207,x]*F[21,x]
F[207,x] = F[153,x]+F[18,x]
F[208,x] = F[209,x]+F[211,x]+F[23,x]
F[209,x] = F[21,x]*F[210,x]
F[210,x] = F[116,x]+F[157,x]
F[211,x] = F[21,x]*F[212,x]
F[212,x] = F[213,x]+F[221,x]
F[213,x] = F[205,x]+F[214,x]
F[214,x] = F[215,x]
F[215,x] = F[21,x]*F[216,x]
F[216,x] = F[213,x]+F[217,x]
F[217,x] = F[218,x]
F[218,x] = F[219,x]
F[219,x] = F[21,x]*F[220,x]
F[220,x] = F[205,x]+F[218,x]
F[221,x] = F[208,x]+F[222,x]
F[222,x] = 2*F[23,x]+F[223,x]+F[235,x]
F[223,x] = F[21,x]*F[224,x]
F[224,x] = F[225,x]+F[226,x]
F[225,x] = F[214,x]
F[226,x] = F[227,x]
F[227,x] = F[228,x]
F[228,x] = F[21,x]*F[229,x]
F[229,x] = F[230,x]+F[231,x]
F[230,x] = F[208,x]+F[227,x]
F[231,x] = F[232,x]
F[232,x] = F[233,x]
F[233,x] = F[21,x]*F[234,x]
F[234,x] = F[208,x]+F[232,x]
F[235,x] = F[21,x]*F[236,x]
F[236,x] = F[221,x]+F[237,x]
F[237,x] = F[238,x]
F[238,x] = 2*F[23,x]+F[239,x]+F[243,x]
F[239,x] = F[21,x]*F[240,x]
F[240,x] = F[241,x]+F[242,x]
F[241,x] = F[218,x]
F[242,x] = F[232,x]
F[243,x] = F[21,x]*F[244,x]
F[244,x] = F[208,x]+F[238,x]
F[245,x] = F[203,x]*F[246,x]
F[246,x] = -F[256,x]+F[247,x]
F[247,x] = F[138,x]+F[248,x]+F[66,x]
F[248,x] = F[249,x]
F[249,x] = F[21,x]*F[250,x]
F[250,x] = 1/F[21,x]*F[251,x]
F[251,x] = F[252,x]
F[252,x] = F[130,x]+F[253,x]
F[253,x] = F[254,x]
F[254,x] = F[21,x]*F[255,x]
F[255,x] = F[162,x]+F[246,x]
F[256,x] = 1/F[21,x]*F[257,x]
F[257,x] = -F[12,x]-F[267,x]-F[270,x]+F[258,x]
F[258,x] = 1/F[21,x]*F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[23,x]+F[261,x]+F[266,x]
F[261,x] = F[21,x]*F[262,x]
F[262,x] = -F[4,x]+F[263,x]
F[263,x] = 1/F[21,x]*F[264,x]
F[264,x] = -F[1,x]-F[265,x]+F[4,x]
F[265,x] = F[21,x]*F[73,x]
F[266,x] = F[21,x]*F[73,x]
F[267,x] = F[21,x]*F[268,x]
F[268,x] = 1/F[21,x]*F[269,x]
F[269,x] = F[262,x]
F[270,x] = F[21,x]*F[271,x]
F[271,x] = F[126,x]+F[272,x]
F[272,x] = F[273,x]+F[274,x]
F[273,x] = F[12,x]*F[142,x]
F[274,x] = F[275,x]
F[275,x] = F[21,x]*F[276,x]
F[276,x] = -F[285,x]+F[277,x]
F[277,x] = F[278,x]+F[331,x]
F[278,x] = F[279,x]+F[285,x]
F[279,x] = F[12,x]*F[280,x]
F[280,x] = 1/F[21,x]*F[281,x]
F[281,x] = F[282,x]
F[282,x] = F[23,x]+F[283,x]+F[284,x]+F[74,x]
F[283,x] = F[21,x]*F[282,x]
F[284,x] = F[21,x]*F[22,x]
F[285,x] = F[286,x]+F[290,x]
F[286,x] = F[287,x]
F[287,x] = F[18,x]*F[288,x]
F[288,x] = F[289,x]
F[289,x] = -F[84,x]+F[272,x]
F[290,x] = F[291,x]
F[291,x] = F[21,x]*F[292,x]
F[292,x] = F[23,x]+F[293,x]+F[328,x]+F[329,x]
F[293,x] = -F[23,x]-F[324,x]+F[294,x]
F[294,x] = -F[321,x]+F[295,x]
F[295,x] = 1/F[21,x]*F[296,x]
F[296,x] = F[297,x]
F[297,x] = -F[316,x]+F[298,x]
F[298,x] = -F[304,x]+F[299,x]
F[299,x] = 1/F[21,x]*F[300,x]
F[300,x] = F[301,x]
F[301,x] = -F[302,x]+F[136,x]
F[302,x] = F[303,x]+F[79,x]
F[303,x] = F[82,x]
F[304,x] = F[271,x]+F[305,x]
F[305,x] = F[134,x]+F[306,x]
F[306,x] = F[23,x]+F[307,x]+F[315,x]
F[307,x] = F[308,x]
F[308,x] = F[21,x]*F[309,x]
F[309,x] = -F[312,x]+F[310,x]
F[310,x] = 1/F[21,x]*F[311,x]
F[311,x] = F[124,x]
F[312,x] = 1/F[21,x]*F[313,x]
F[313,x] = F[314,x]
F[314,x] = -F[129,x]+F[272,x]
F[315,x] = F[16,x]*F[21,x]
F[316,x] = F[317,x]
F[317,x] = F[21,x]*F[318,x]
F[318,x] = -F[126,x]+F[319,x]
F[319,x] = 1/F[21,x]*F[320,x]
F[320,x] = F[314,x]
F[321,x] = -F[318,x]+F[322,x]
F[322,x] = 1/F[21,x]*F[323,x]
F[323,x] = F[289,x]
F[324,x] = F[21,x]*F[325,x]
F[325,x] = -F[27,x]+F[326,x]
F[326,x] = 1/F[21,x]*F[327,x]
F[327,x] = F[29,x]
F[328,x] = F[21,x]*F[292,x]
F[329,x] = F[330,x]
F[330,x] = F[18,x]*F[21,x]*F[325,x]
F[331,x] = F[332,x]*F[40,x]
F[332,x] = F[333,x]+F[335,x]
F[333,x] = F[334,x]
F[334,x] = F[18,x]*F[272,x]
F[335,x] = F[23,x]+F[307,x]+F[336,x]+F[337,x]
F[336,x] = F[21,x]*F[335,x]
F[337,x] = F[338,x]
F[338,x] = F[16,x]*F[18,x]*F[21,x]
F[339,x] = F[21,x]*F[252,x]
F[340,x] = F[160,x]*F[64,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_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x^{2} F_{6} \left(x \right)^{3}+2 x^{2} F_{6} \left(x \right)^{2}+x^{2} F_{6}\! \left(x \right)+x F_{6} \left(x \right)^{2}+2 x F_{6}\! \left(x \right)+x
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{21}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{46}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x^{2} F_{12} \left(x \right)^{3}-x^{2} F_{12} \left(x \right)^{2}+x F_{12} \left(x \right)^{2}+1
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{21}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{27}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{29}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{22}\! \left(x \right)
F_{18}\! \left(x \right) = F_{1}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{18}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = x
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)+F_{28}\! \left(x \right)
F_{23}\! \left(x \right) = 0
F_{24}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{25}\! \left(x \right)+F_{11}\! \left(x \right)
F_{25}\! \left(x \right) = F_{21}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{17}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{13}\! \left(x \right)
F_{28}\! \left(x \right) = F_{21}\! \left(x \right) F_{22}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{21}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{45}\! \left(x \right)
F_{32}\! \left(x \right) = F_{16}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{16}\! \left(x \right) F_{21}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{39}\! \left(x \right)
F_{36}\! \left(x \right) = F_{12}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right) F_{35}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{40}\! \left(x \right) = F_{23}\! \left(x \right)+F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right)
F_{42}\! \left(x \right) = F_{21}\! \left(x \right) F_{39}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{21}\! \left(x \right) F_{35}\! \left(x \right) F_{40}\! \left(x \right)
F_{45}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{21}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{340}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right) F_{65}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{21}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{59}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{2}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{21}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{11}\! \left(x \right) F_{50}\! \left(x \right)
F_{63}\! \left(x \right) = F_{12}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{50}\! \left(x \right)+F_{54}\! \left(x \right)
F_{65}\! \left(x \right) = F_{11}\! \left(x \right)+F_{248}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{21}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{71}\! \left(x \right) = -F_{137}\! \left(x \right)-F_{23}\! \left(x \right)-F_{339}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = -F_{11}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{1}\! \left(x \right)+F_{135}\! \left(x \right)+F_{137}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{21}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{123}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{77}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{120}\! \left(x \right)-F_{121}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{111}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{21}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{89}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{86}\! \left(x \right)
F_{85}\! \left(x \right) = F_{12}\! \left(x \right) F_{80}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{21}\! \left(x \right) F_{83}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right)+F_{40}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{96}\! \left(x \right)
F_{90}\! \left(x \right) = F_{21}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{21}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{6}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{21}\! \left(x \right) F_{65}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{108}\! \left(x \right) F_{21}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{107}\! \left(x \right)+F_{23}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{21}\! \left(x \right) F_{90}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{21}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{98}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{21}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{106}\! \left(x \right)
F_{105}\! \left(x \right) = F_{35}\! \left(x \right) F_{98}\! \left(x \right)
F_{106}\! \left(x \right) = F_{101}\! \left(x \right) F_{88}\! \left(x \right)
F_{107}\! \left(x \right) = F_{21}\! \left(x \right) F_{88}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{12}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{108}\! \left(x \right) F_{21}\! \left(x \right) F_{88}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{21}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{18}\! \left(x \right) F_{79}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{12}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{21}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)+F_{23}\! \left(x \right)
F_{118}\! \left(x \right) = F_{116}\! \left(x \right) F_{21}\! \left(x \right)
F_{119}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)
F_{120}\! \left(x \right) = F_{21}\! \left(x \right) F_{78}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{12}\! \left(x \right) F_{18}\! \left(x \right) F_{21}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{125}\! \left(x \right) = -F_{128}\! \left(x \right)-F_{133}\! \left(x \right)-F_{134}\! \left(x \right)-F_{23}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{76}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{21}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{17}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)+F_{23}\! \left(x \right)+F_{71}\! \left(x \right)
F_{131}\! \left(x \right) = F_{130}\! \left(x \right) F_{21}\! \left(x \right)
F_{132}\! \left(x \right) = F_{17}\! \left(x \right) F_{21}\! \left(x \right)
F_{133}\! \left(x \right) = F_{126}\! \left(x \right) F_{21}\! \left(x \right)
F_{134}\! \left(x \right) = F_{21}\! \left(x \right) F_{27}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{21}\! \left(x \right)
F_{136}\! \left(x \right) = F_{126}\! \left(x \right)+F_{129}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{21}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{73}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{159}\! \left(x \right) F_{21}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{144}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{80}\! \left(x \right)
F_{143}\! \left(x \right) = F_{117}\! \left(x \right)+F_{19}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{149}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{21}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{148}\! \left(x \right)+F_{23}\! \left(x \right)
F_{147}\! \left(x \right) = x^{2}
F_{148}\! \left(x \right) = x^{2}
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{154}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{152}\! \left(x \right)+F_{23}\! \left(x \right)
F_{151}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{21}\! \left(x \right)
F_{153}\! \left(x \right) = F_{150}\! \left(x \right)+F_{21}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{156}\! \left(x \right)+F_{158}\! \left(x \right)+F_{23}\! \left(x \right)
F_{155}\! \left(x \right) = F_{117}\! \left(x \right) F_{21}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{21}\! \left(x \right)
F_{157}\! \left(x \right) = F_{146}\! \left(x \right)+F_{154}\! \left(x \right)
F_{158}\! \left(x \right) = F_{150}\! \left(x \right) F_{21}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{72}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{162}\! \left(x \right)
F_{161}\! \left(x \right) = F_{12}\! \left(x \right)+F_{94}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{202}\! \left(x \right)}
F_{163}\! \left(x \right) = -F_{245}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{72}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{200}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{21}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{176}\! \left(x \right)
F_{171}\! \left(x \right) = F_{1}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{21}\! \left(x \right)
F_{174}\! \left(x \right) = F_{171}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{19}\! \left(x \right)
F_{176}\! \left(x \right) = F_{168}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{190}\! \left(x \right)+F_{23}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{21}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{172}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{21}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{186}\! \left(x \right)
F_{185}\! \left(x \right) = F_{168}\! \left(x \right)+F_{182}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{21}\! \left(x \right)
F_{189}\! \left(x \right) = F_{168}\! \left(x \right)+F_{187}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right) F_{21}\! \left(x \right)
F_{191}\! \left(x \right) = F_{176}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{198}\! \left(x \right)+F_{23}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{21}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{196}\! \left(x \right) = F_{19}\! \left(x \right)
F_{197}\! \left(x \right) = F_{187}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{21}\! \left(x \right)
F_{199}\! \left(x \right) = F_{168}\! \left(x \right)+F_{193}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{21}\! \left(x \right) F_{93}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)
F_{203}\! \left(x \right) = F_{1}\! \left(x \right)+F_{168}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{208}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{21}\! \left(x \right)
F_{207}\! \left(x \right) = F_{153}\! \left(x \right)+F_{18}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{211}\! \left(x \right)+F_{23}\! \left(x \right)
F_{209}\! \left(x \right) = F_{21}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{116}\! \left(x \right)+F_{157}\! \left(x \right)
F_{211}\! \left(x \right) = F_{21}\! \left(x \right) F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{221}\! \left(x \right)
F_{213}\! \left(x \right) = F_{205}\! \left(x \right)+F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{21}\! \left(x \right) F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{213}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{21}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{205}\! \left(x \right)+F_{218}\! \left(x \right)
F_{221}\! \left(x \right) = F_{208}\! \left(x \right)+F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{223}\! \left(x \right)+F_{235}\! \left(x \right)
F_{223}\! \left(x \right) = F_{21}\! \left(x \right) F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{226}\! \left(x \right)
F_{225}\! \left(x \right) = F_{214}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{21}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)+F_{231}\! \left(x \right)
F_{230}\! \left(x \right) = F_{208}\! \left(x \right)+F_{227}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{21}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{208}\! \left(x \right)+F_{232}\! \left(x \right)
F_{235}\! \left(x \right) = F_{21}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{221}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{239}\! \left(x \right)+F_{243}\! \left(x \right)
F_{239}\! \left(x \right) = F_{21}\! \left(x \right) F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{242}\! \left(x \right)
F_{241}\! \left(x \right) = F_{218}\! \left(x \right)
F_{242}\! \left(x \right) = F_{232}\! \left(x \right)
F_{243}\! \left(x \right) = F_{21}\! \left(x \right) F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{208}\! \left(x \right)+F_{238}\! \left(x \right)
F_{245}\! \left(x \right) = F_{203}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = -F_{256}\! \left(x \right)+F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{138}\! \left(x \right)+F_{248}\! \left(x \right)+F_{66}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{21}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = \frac{F_{251}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{130}\! \left(x \right)+F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{21}\! \left(x \right) F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{162}\! \left(x \right)+F_{246}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{257}\! \left(x \right) = -F_{12}\! \left(x \right)-F_{267}\! \left(x \right)-F_{270}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = \frac{F_{259}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{23}\! \left(x \right)+F_{261}\! \left(x \right)+F_{266}\! \left(x \right)
F_{261}\! \left(x \right) = F_{21}\! \left(x \right) F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{264}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{265}\! \left(x \right)+F_{4}\! \left(x \right)
F_{265}\! \left(x \right) = F_{21}\! \left(x \right) F_{73}\! \left(x \right)
F_{266}\! \left(x \right) = F_{21}\! \left(x \right) F_{73}\! \left(x \right)
F_{267}\! \left(x \right) = F_{21}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = \frac{F_{269}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{269}\! \left(x \right) = F_{262}\! \left(x \right)
F_{270}\! \left(x \right) = F_{21}\! \left(x \right) F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{126}\! \left(x \right)+F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{274}\! \left(x \right)
F_{273}\! \left(x \right) = F_{12}\! \left(x \right) F_{142}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{21}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{331}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)+F_{285}\! \left(x \right)
F_{279}\! \left(x \right) = F_{12}\! \left(x \right) F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = \frac{F_{281}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{23}\! \left(x \right)+F_{283}\! \left(x \right)+F_{284}\! \left(x \right)+F_{74}\! \left(x \right)
F_{283}\! \left(x \right) = F_{21}\! \left(x \right) F_{282}\! \left(x \right)
F_{284}\! \left(x \right) = F_{21}\! \left(x \right) F_{22}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{290}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{18}\! \left(x \right) F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{272}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{21}\! \left(x \right) F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{23}\! \left(x \right)+F_{293}\! \left(x \right)+F_{328}\! \left(x \right)+F_{329}\! \left(x \right)
F_{293}\! \left(x \right) = -F_{23}\! \left(x \right)-F_{324}\! \left(x \right)+F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = -F_{321}\! \left(x \right)+F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = \frac{F_{296}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = -F_{316}\! \left(x \right)+F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = -F_{304}\! \left(x \right)+F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = \frac{F_{300}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = -F_{302}\! \left(x \right)+F_{136}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)+F_{79}\! \left(x \right)
F_{303}\! \left(x \right) = F_{82}\! \left(x \right)
F_{304}\! \left(x \right) = F_{271}\! \left(x \right)+F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{134}\! \left(x \right)+F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{23}\! \left(x \right)+F_{307}\! \left(x \right)+F_{315}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{21}\! \left(x \right) F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = -F_{312}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = \frac{F_{311}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{311}\! \left(x \right) = F_{124}\! \left(x \right)
F_{312}\! \left(x \right) = \frac{F_{313}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{272}\! \left(x \right)
F_{315}\! \left(x \right) = F_{16}\! \left(x \right) F_{21}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{21}\! \left(x \right) F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = \frac{F_{320}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{320}\! \left(x \right) = F_{314}\! \left(x \right)
F_{321}\! \left(x \right) = -F_{318}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = \frac{F_{323}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{323}\! \left(x \right) = F_{289}\! \left(x \right)
F_{324}\! \left(x \right) = F_{21}\! \left(x \right) F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{327}\! \left(x \right) = F_{29}\! \left(x \right)
F_{328}\! \left(x \right) = F_{21}\! \left(x \right) F_{292}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{18}\! \left(x \right) F_{21}\! \left(x \right) F_{325}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right) F_{40}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{335}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{18}\! \left(x \right) F_{272}\! \left(x \right)
F_{335}\! \left(x \right) = F_{23}\! \left(x \right)+F_{307}\! \left(x \right)+F_{336}\! \left(x \right)+F_{337}\! \left(x \right)
F_{336}\! \left(x \right) = F_{21}\! \left(x \right) F_{335}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{16}\! \left(x \right) F_{18}\! \left(x \right) F_{21}\! \left(x \right)
F_{339}\! \left(x \right) = F_{21}\! \left(x \right) F_{252}\! \left(x \right)
F_{340}\! \left(x \right) = F_{160}\! \left(x \right) F_{64}\! \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_21(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x**2*(F_6(x) + 1)**3 - x*(x - 1)*(F_6(x) + 1)**2)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_21(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_46(x))
Eq(F_10(x), F_11(x)*F_2(x))
Eq(F_11(x), F_12(x) + F_13(x))
Eq(F_12(x), x**2*F_12(x)**3 - x*(x - 1)*F_12(x)**2 + 1)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_21(x))
Eq(F_15(x), F_16(x) + F_27(x))
Eq(F_16(x), F_17(x) + F_29(x))
Eq(F_17(x), F_18(x) + F_22(x))
Eq(F_18(x), F_1(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_18(x)*F_21(x))
Eq(F_21(x), x)
Eq(F_22(x), F_23(x) + F_24(x) + F_28(x))
Eq(F_23(x), 0)
Eq(F_24(x), -F_1(x) + F_11(x) - F_25(x))
Eq(F_25(x), F_21(x)*F_26(x))
Eq(F_26(x), F_17(x) + F_27(x))
Eq(F_27(x), F_13(x))
Eq(F_28(x), F_21(x)*F_22(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_21(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_45(x))
Eq(F_32(x), F_16(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_16(x)*F_21(x)*F_35(x))
Eq(F_35(x), F_36(x) + F_39(x))
Eq(F_36(x), F_12(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_12(x)*F_21(x)*F_35(x))
Eq(F_39(x), F_40(x) + F_43(x))
Eq(F_40(x), F_23(x) + F_41(x) + F_42(x))
Eq(F_41(x), F_12(x)*F_21(x))
Eq(F_42(x), F_21(x)*F_39(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_21(x)*F_35(x)*F_40(x))
Eq(F_45(x), F_12(x)*F_27(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_21(x)*F_48(x))
Eq(F_48(x), F_340(x) + F_49(x))
Eq(F_49(x), F_50(x)*F_65(x))
Eq(F_50(x), F_4(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_21(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_59(x))
Eq(F_54(x), F_55(x)/F_21(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), -F_0(x) + F_57(x))
Eq(F_57(x), F_58(x)/F_21(x))
Eq(F_58(x), F_2(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_21(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_11(x)*F_50(x))
Eq(F_63(x), F_12(x)*F_64(x))
Eq(F_64(x), -F_50(x) + F_54(x))
Eq(F_65(x), F_11(x) + F_248(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_21(x)*F_68(x))
Eq(F_68(x), F_69(x)/F_21(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_71(x)/F_21(x))
Eq(F_71(x), -F_137(x) - F_23(x) - F_339(x) + F_72(x))
Eq(F_72(x), -F_11(x) + F_73(x))
Eq(F_73(x), F_1(x) + F_135(x) + F_137(x) + F_74(x))
Eq(F_74(x), F_21(x)*F_75(x))
Eq(F_75(x), F_123(x) + F_76(x))
Eq(F_76(x), F_77(x)/F_21(x))
Eq(F_77(x), -F_1(x) - F_120(x) - F_121(x) + F_78(x))
Eq(F_78(x), F_111(x) + F_79(x))
Eq(F_79(x), F_80(x) + F_81(x))
Eq(F_80(x), F_1(x) + F_21(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_21(x)*F_83(x))
Eq(F_83(x), F_84(x) + F_89(x))
Eq(F_84(x), F_85(x) + F_86(x))
Eq(F_85(x), F_12(x)*F_80(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_21(x)*F_83(x)*F_88(x))
Eq(F_88(x), F_12(x) + F_40(x))
Eq(F_89(x), F_90(x) + F_96(x))
Eq(F_90(x), F_21(x) + F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_21(x)*F_93(x))
Eq(F_93(x), F_6(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_21(x)*F_65(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_108(x)*F_21(x)*F_98(x))
Eq(F_98(x), F_100(x) + F_107(x) + F_23(x) + F_99(x))
Eq(F_99(x), F_21(x)*F_90(x))
Eq(F_100(x), F_101(x)*F_21(x))
Eq(F_101(x), F_102(x) + F_98(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_21(x))
Eq(F_104(x), F_105(x) + F_106(x))
Eq(F_105(x), F_35(x)*F_98(x))
Eq(F_106(x), F_101(x)*F_88(x))
Eq(F_107(x), F_21(x)*F_88(x))
Eq(F_108(x), F_109(x) + F_12(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_108(x)*F_21(x)*F_88(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_21(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_18(x)*F_79(x))
Eq(F_115(x), F_116(x)*F_12(x))
Eq(F_116(x), F_117(x) + F_21(x))
Eq(F_117(x), F_118(x) + F_119(x) + F_23(x))
Eq(F_118(x), F_116(x)*F_21(x))
Eq(F_119(x), F_19(x)*F_21(x))
Eq(F_120(x), F_21(x)*F_78(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_12(x)*F_18(x)*F_21(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)/F_21(x))
Eq(F_125(x), F_126(x) - F_128(x) - F_133(x) - F_134(x) - F_23(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_76(x) - F_79(x))
Eq(F_128(x), F_129(x)*F_21(x))
Eq(F_129(x), F_130(x) + F_17(x))
Eq(F_130(x), F_131(x) + F_132(x) + F_23(x) + F_71(x))
Eq(F_131(x), F_130(x)*F_21(x))
Eq(F_132(x), F_17(x)*F_21(x))
Eq(F_133(x), F_126(x)*F_21(x))
Eq(F_134(x), F_21(x)*F_27(x))
Eq(F_135(x), F_136(x)*F_21(x))
Eq(F_136(x), F_126(x) + F_129(x))
Eq(F_137(x), F_138(x)*F_21(x))
Eq(F_138(x), F_139(x) + F_73(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_159(x)*F_21(x))
Eq(F_141(x), F_142(x) + F_144(x))
Eq(F_142(x), F_143(x) + F_80(x))
Eq(F_143(x), F_117(x) + F_19(x))
Eq(F_144(x), F_145(x) + F_149(x))
Eq(F_145(x), F_146(x) + F_21(x))
Eq(F_146(x), F_147(x) + F_148(x) + F_23(x))
Eq(F_147(x), x**2)
Eq(F_148(x), x**2)
Eq(F_149(x), F_150(x) + F_154(x))
Eq(F_150(x), F_151(x) + F_152(x) + F_23(x))
Eq(F_151(x), F_19(x)*F_21(x))
Eq(F_152(x), F_153(x)*F_21(x))
Eq(F_153(x), F_150(x) + F_21(x))
Eq(F_154(x), F_155(x) + F_156(x) + F_158(x) + F_23(x))
Eq(F_155(x), F_117(x)*F_21(x))
Eq(F_156(x), F_157(x)*F_21(x))
Eq(F_157(x), F_146(x) + F_154(x))
Eq(F_158(x), F_150(x)*F_21(x))
Eq(F_159(x), F_160(x) + F_72(x))
Eq(F_160(x), F_161(x) + F_162(x))
Eq(F_161(x), F_12(x) + F_94(x))
Eq(F_162(x), F_163(x)/F_202(x))
Eq(F_163(x), F_164(x) - F_245(x))
Eq(F_164(x), F_165(x)/F_21(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), -F_167(x) + F_72(x))
Eq(F_167(x), F_168(x) + F_200(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x)*F_21(x))
Eq(F_170(x), F_171(x) + F_176(x))
Eq(F_171(x), F_1(x) + F_172(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x)*F_21(x))
Eq(F_174(x), F_171(x) + F_175(x))
Eq(F_175(x), F_19(x))
Eq(F_176(x), F_168(x) + F_177(x))
Eq(F_177(x), F_178(x) + F_190(x) + F_23(x))
Eq(F_178(x), F_179(x)*F_21(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_172(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_21(x))
Eq(F_184(x), F_185(x) + F_186(x))
Eq(F_185(x), F_168(x) + F_182(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_189(x)*F_21(x))
Eq(F_189(x), F_168(x) + F_187(x))
Eq(F_190(x), F_191(x)*F_21(x))
Eq(F_191(x), F_176(x) + F_192(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_194(x) + F_198(x) + F_23(x))
Eq(F_194(x), F_195(x)*F_21(x))
Eq(F_195(x), F_196(x) + F_197(x))
Eq(F_196(x), F_19(x))
Eq(F_197(x), F_187(x))
Eq(F_198(x), F_199(x)*F_21(x))
Eq(F_199(x), F_168(x) + F_193(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_202(x)*F_21(x)*F_93(x))
Eq(F_202(x), F_203(x) + F_204(x))
Eq(F_203(x), F_1(x) + F_168(x))
Eq(F_204(x), F_205(x) + F_208(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_207(x)*F_21(x))
Eq(F_207(x), F_153(x) + F_18(x))
Eq(F_208(x), F_209(x) + F_211(x) + F_23(x))
Eq(F_209(x), F_21(x)*F_210(x))
Eq(F_210(x), F_116(x) + F_157(x))
Eq(F_211(x), F_21(x)*F_212(x))
Eq(F_212(x), F_213(x) + F_221(x))
Eq(F_213(x), F_205(x) + F_214(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_21(x)*F_216(x))
Eq(F_216(x), F_213(x) + F_217(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_21(x)*F_220(x))
Eq(F_220(x), F_205(x) + F_218(x))
Eq(F_221(x), F_208(x) + F_222(x))
Eq(F_222(x), F_223(x) + 2*F_23(x) + F_235(x))
Eq(F_223(x), F_21(x)*F_224(x))
Eq(F_224(x), F_225(x) + F_226(x))
Eq(F_225(x), F_214(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_21(x)*F_229(x))
Eq(F_229(x), F_230(x) + F_231(x))
Eq(F_230(x), F_208(x) + F_227(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_21(x)*F_234(x))
Eq(F_234(x), F_208(x) + F_232(x))
Eq(F_235(x), F_21(x)*F_236(x))
Eq(F_236(x), F_221(x) + F_237(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), 2*F_23(x) + F_239(x) + F_243(x))
Eq(F_239(x), F_21(x)*F_240(x))
Eq(F_240(x), F_241(x) + F_242(x))
Eq(F_241(x), F_218(x))
Eq(F_242(x), F_232(x))
Eq(F_243(x), F_21(x)*F_244(x))
Eq(F_244(x), F_208(x) + F_238(x))
Eq(F_245(x), F_203(x)*F_246(x))
Eq(F_246(x), F_247(x) - F_256(x))
Eq(F_247(x), F_138(x) + F_248(x) + F_66(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_21(x)*F_250(x))
Eq(F_250(x), F_251(x)/F_21(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_130(x) + F_253(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_21(x)*F_255(x))
Eq(F_255(x), F_162(x) + F_246(x))
Eq(F_256(x), F_257(x)/F_21(x))
Eq(F_257(x), -F_12(x) + F_258(x) - F_267(x) - F_270(x))
Eq(F_258(x), F_259(x)/F_21(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_23(x) + F_261(x) + F_266(x))
Eq(F_261(x), F_21(x)*F_262(x))
Eq(F_262(x), F_263(x) - F_4(x))
Eq(F_263(x), F_264(x)/F_21(x))
Eq(F_264(x), -F_1(x) - F_265(x) + F_4(x))
Eq(F_265(x), F_21(x)*F_73(x))
Eq(F_266(x), F_21(x)*F_73(x))
Eq(F_267(x), F_21(x)*F_268(x))
Eq(F_268(x), F_269(x)/F_21(x))
Eq(F_269(x), F_262(x))
Eq(F_270(x), F_21(x)*F_271(x))
Eq(F_271(x), F_126(x) + F_272(x))
Eq(F_272(x), F_273(x) + F_274(x))
Eq(F_273(x), F_12(x)*F_142(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_21(x)*F_276(x))
Eq(F_276(x), F_277(x) - F_285(x))
Eq(F_277(x), F_278(x) + F_331(x))
Eq(F_278(x), F_279(x) + F_285(x))
Eq(F_279(x), F_12(x)*F_280(x))
Eq(F_280(x), F_281(x)/F_21(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_23(x) + F_283(x) + F_284(x) + F_74(x))
Eq(F_283(x), F_21(x)*F_282(x))
Eq(F_284(x), F_21(x)*F_22(x))
Eq(F_285(x), F_286(x) + F_290(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_18(x)*F_288(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_272(x) - F_84(x))
Eq(F_290(x), F_291(x))
Eq(F_291(x), F_21(x)*F_292(x))
Eq(F_292(x), F_23(x) + F_293(x) + F_328(x) + F_329(x))
Eq(F_293(x), -F_23(x) + F_294(x) - F_324(x))
Eq(F_294(x), F_295(x) - F_321(x))
Eq(F_295(x), F_296(x)/F_21(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_298(x) - F_316(x))
Eq(F_298(x), F_299(x) - F_304(x))
Eq(F_299(x), F_300(x)/F_21(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_136(x) - F_302(x))
Eq(F_302(x), F_303(x) + F_79(x))
Eq(F_303(x), F_82(x))
Eq(F_304(x), F_271(x) + F_305(x))
Eq(F_305(x), F_134(x) + F_306(x))
Eq(F_306(x), F_23(x) + F_307(x) + F_315(x))
Eq(F_307(x), F_308(x))
Eq(F_308(x), F_21(x)*F_309(x))
Eq(F_309(x), F_310(x) - F_312(x))
Eq(F_310(x), F_311(x)/F_21(x))
Eq(F_311(x), F_124(x))
Eq(F_312(x), F_313(x)/F_21(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), -F_129(x) + F_272(x))
Eq(F_315(x), F_16(x)*F_21(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_21(x)*F_318(x))
Eq(F_318(x), -F_126(x) + F_319(x))
Eq(F_319(x), F_320(x)/F_21(x))
Eq(F_320(x), F_314(x))
Eq(F_321(x), -F_318(x) + F_322(x))
Eq(F_322(x), F_323(x)/F_21(x))
Eq(F_323(x), F_289(x))
Eq(F_324(x), F_21(x)*F_325(x))
Eq(F_325(x), -F_27(x) + F_326(x))
Eq(F_326(x), F_327(x)/F_21(x))
Eq(F_327(x), F_29(x))
Eq(F_328(x), F_21(x)*F_292(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), F_18(x)*F_21(x)*F_325(x))
Eq(F_331(x), F_332(x)*F_40(x))
Eq(F_332(x), F_333(x) + F_335(x))
Eq(F_333(x), F_334(x))
Eq(F_334(x), F_18(x)*F_272(x))
Eq(F_335(x), F_23(x) + F_307(x) + F_336(x) + F_337(x))
Eq(F_336(x), F_21(x)*F_335(x))
Eq(F_337(x), F_338(x))
Eq(F_338(x), F_16(x)*F_18(x)*F_21(x))
Eq(F_339(x), F_21(x)*F_252(x))
Eq(F_340(x), F_160(x)*F_64(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, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 0, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 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