01342_01432_03142_10342_10432_14032

Counting sequence:
1, 1, 2, 6, 24, 114, 596, 3297, 18921, 111463, 669824, 4089440, 25292923, 158142628, 997952598, 6347857752, 40658782871, 262015091439, 1697618892338, 11052031482683, 72263161751080, 474330415035797, 3124466967746191, 20647367269357142, 136844560451784848, 909409529413688413, 6058539513205900407, 40454866279379693603, 270704125398762618972, 1814992745661676528844, 12191359952640190158800, 82030204562559851547625, 552830539931893899803554, 3731328704810101398631539, 25220216740415976361517704, 170691530965896723509298221, 1156698263857576587738056090, 7847710438406394987074473722, 53303152397605649246852589315, 362430132657464672441315274218, 2466797965460923609807767760983, 16805789094382060872861995672700, 114598791235426430452660836204151, 782128592325593744150015152492399, 5342392504965805812243463353832863, 36520492117114498054246609996373971, 249841988507990428506322987694301660, 1710440542258228139561743759718709523, 11717931611031358617184946067799388921, 80330758035352965492386953585829935189, 551047415605162213325008235119956526767, 3782345916738530089512272711349894725370, 25976959039476821535298539266345227733525, 178509108250589194383999497867386441548218, 1227349435455273374091682239431720404069285, 8443123290261532443971821544815070792798751, 58110799181510726776013750184096374192362896, 400148852185908980208876182853635160511019444, 2756702624793309738770141154482160893334133001, 19000055507911503345421117921255579589114940905, 131011605853911826211519794623448417955144770495, 903749972975188349438834219381389717518034693754, 6236837649241178150250696436291657606422371685708, 43057863155448275109785082039046859857705616666524, 297376707992411663322544596009598932573796191720160, 2054578186743086256404327691543243769253547811818567, 14200207421881096005145633434373227482872169984929142, 98178923183203011550243369018362512575361057950419874, 679029876149944554253324822285251372983355633542514748, 4697883291482540393639098129244399471393736904481948084, 32512783631997256185314633698212596058968506866186445999, 225081975708715626791219616873801546123935922037788614868, 1558684185966976838379200076479445357889028348093282849299, 10796991381579118371702171947847609513308488329045052156866, 74811973849815760301318698885441880148139260923214807368080, 518513256717694805381706786802649125502966568564760894153533, 3594726062245894843742998344076373753566239457448195466929278, 24927908419445229545670763687232366140920979365361603217378608, 172908770926485247409222670599981707118655073438620991219639538, 1199655371645058273936983906836396946478616791557218621553390249, 8325331569324705292695658191318441470271497471034358208913378938, 57789574285348968613399806188689424898636816158916998275557960540, 401234097178964879358058623918162474310070166026647360716134937896, 2786404128793665851917685326931322464590257785519168994372211099191, 19354678178613900138257443142380145162426458009014850213600783566255, 134468669346912385951354726271782966321699499242078754496728187687970, 934431284089312731178330635039987785787026042536765921266341135899194, 6494752789693179841826246943263831497904573806289300546142111455453982, 45150735453906347984420597325468402425226709351980925378178177170726083, 313943869263161490364560924830766626680543518688969904722627392943600593, 2183344417378975820083057374866873479864863508519187375938770865854971623, 15187060216012022691623084193724893275220534581860327487687277780722574043, 105658542950094390636072692753211258049443640366843347931069910750527037005, 735213091830176953620446556810308115488596069718925089194750979799424448801, 5116793475683126665222380151258345751044307797877712741323690452114531056117, 35616969957915492292501077692715813993425057840207351194333281042532887263089, 247964158504502616490144413636396497939510242769785473970138207492636860121701, 1726601822118287997685476463810336460316735131607072353307417321723612694998109, 12024453614117939741176684012447235536750082406647397263912796574919708152560798, 83754269571086754409620510459493304987735681365396383519149666998743016154377659, 583466096287824301481845811380420508350166826701157143796112260988320648274941107

Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24959/
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[20,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[329,x]+F[6,x]+F[7,x]
F[6,x] = 0
F[7,x] = F[20,x]*F[8,x]
F[8,x] = F[9,x,1]
F[9,x,k[0]] = F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[47,x,k[0]]
F[11,x,k[0]] = F[12,x,1,k[0]]
F[12,x,k[0],k[1]] = F[13,x,k[0]*k[1],k[1]]
F[13,x,k[0],k[1]] = F[14,x,k[1]]+F[83,x,k[0],k[1]]
F[15,x,k[0]] = F[14,x,k[0]]+F[323,x,k[0]]
F[16,x,k[0]] = F[15,x,k[0]]*F[20,x]
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]+F[21,x,k[0]]+F[320,x,k[0]]+F[6,x]
F[18,x,k[0]] = F[19,x,k[0]]*F[20,x]
F[19,x,k[0]] = (F[9,x,k[0]]-F[9,x,1])/(-1+k[0])
F[20,x] = x
F[21,x,k[0]] = F[20,x]*F[22,x,k[0]]
F[22,x,k[0]] = F[23,x,1,k[0]]
F[23,x,k[0],k[1]] = F[1,x]+F[24,x,k[0],k[1]]+F[28,x,k[0],k[1]]+F[30,x,k[0],k[1]]+F[313,x,k[0],k[1]]
F[24,x,k[0],k[1]] = F[20,x]*F[25,x,k[0],k[1]]
F[25,x,k[0],k[1]] = 1/(-1+k[0])*(F[26,x,k[0],k[1]]*k[0]-F[26,x,1,k[1]])
F[26,x,k[0],k[1]] = (F[27,x,k[0]]*k[0]-F[27,x,k[1]]*k[1])/(-k[1]+k[0])
F[27,x,k[0]] = F[4,x]+F[9,x,k[0]]
F[28,x,k[0],k[1]] = F[20,x]*F[29,x,k[0],k[1]]
F[29,x,k[0],k[1]] = 1/(-1+k[0])*(F[23,x,k[0],k[1]]*k[0]-F[23,x,1,k[1]])
F[30,x,k[0],k[1]] = F[31,x,k[0],k[1]]*F[47,x,k[0]]
F[31,x,k[0],k[1]] = F[23,x,k[0],k[1]]+F[32,x,k[0],k[1]]
F[32,x,k[0],k[1]] = k[0]*F[33,x,k[0],k[1]]
F[33,x,k[0],k[1]] = 2*F[6,x]+F[283,x,k[0],k[1]]+F[284,x,k[0],k[1]]+F[286,x,k[0],k[1]]+F[34,x,k[0],k[1]]
F[34,x,k[0],k[1]] = F[20,x]*F[35,x,k[0],k[1]]
F[35,x,k[0],k[1]] = (F[36,x,k[0]]*k[0]-F[36,x,k[1]]*k[1])/(-k[1]+k[0])
F[36,x,k[0]] = F[37,x,k[0]]
F[37,x,k[0]] = F[20,x]*F[38,x,k[0]]
F[38,x,k[0]] = F[11,x,k[0]]+F[39,x,k[0]]
F[39,x,k[0]] = F[270,x,k[0]]+F[279,x,k[0]]+F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]+F[50,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]
F[42,x,k[0]] = F[20,x]*F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]+F[48,x,k[0]]+F[49,x,k[0]]
F[44,x,k[0]] = F[0,x]+F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[43,x,k[0]]*F[47,x,k[0]]
F[47,x,k[0]] = k[0]*x
F[48,x,k[0]] = F[11,x,k[0]]*F[20,x]
F[49,x,k[0]] = F[43,x,k[0]]*F[47,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]
F[51,x,k[0]] = F[199,x,k[0]]*F[20,x]*F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[20,x]*F[54,x,k[0]]
F[54,x,k[0]] = F[55,x,1,k[0]]
F[55,x,k[0],k[1]] = F[56,x,k[0]*k[1],k[1]]
F[57,x,k[0],k[1]] = F[20,x]*F[56,x,k[0],k[1]]
F[57,x,k[0],k[1]] = F[58,x,k[0],k[1]]
F[58,x,k[0],k[1]] = F[265,x,k[0],k[1]]+F[59,x,k[1]]
F[60,x,k[0]] = F[269,x,k[0]]+F[59,x,k[0]]
F[61,x,k[0]] = F[268,x,k[0]]+F[60,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]+F[82,x,k[0]]
F[63,x,k[0]] = F[267,x,k[0]]+F[62,x,k[0]]
F[64,x,k[0]] = F[261,x,k[0]]+F[63,x,k[0]]
F[64,x,k[0]] = F[257,x,k[0]]+F[44,x,k[0]]+F[49,x,k[0]]+F[65,x,k[0]]+F[68,x,k[0]]
F[65,x,k[0]] = F[20,x]*F[66,x,k[0]]
F[67,x,k[0]] = F[20,x]*F[66,x,k[0]]
F[67,x,k[0]] = F[19,x,k[0]]
F[69,x,k[0]] = F[242,x,k[0]]+F[246,x,k[0]]+F[44,x,k[0]]+F[65,x,k[0]]+F[68,x,k[0]]
F[70,x,k[0]] = F[20,x]*F[69,x,k[0]]
F[70,x,k[0]] = F[71,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]
F[72,x,k[0]] = F[20,x]*F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0],1]
F[74,x,k[0],k[1]] = F[75,x,k[0],k[0]*k[1]]
F[75,x,k[0],k[1]] = F[174,x,k[0],k[1]]+F[228,x,k[0],k[1]]+F[76,x,k[1]]+F[77,x,k[0],k[1]]
F[76,x,k[0]] = 1/(-1+k[0])*(F[44,x,k[0]]*k[0]-F[44,x,1])
F[77,x,k[0],k[1]] = F[78,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[20,x]*F[79,x,k[0],k[1]]
F[79,x,k[0],k[1]] = F[173,x,k[0],k[1]]+F[80,x,k[1]]
F[80,x,k[0]] = 1/(-1+k[0])*(F[81,x,k[0]]*k[0]-F[81,x,1])
F[81,x,k[0]] = F[14,x,k[0]]+F[82,x,k[0]]
F[82,x,k[0]] = F[83,x,1,k[0]]
F[83,x,k[0],k[1]] = F[84,x,k[0],k[1]]+F[94,x,k[0],k[1]]
F[84,x,k[0],k[1]] = F[85,x,k[0],k[1]]
F[85,x,k[0],k[1]] = F[6,x]+F[86,x,k[0],k[1]]+F[88,x,k[0],k[1]]
F[86,x,k[0],k[1]] = F[87,x,k[0],k[1]]
F[87,x,k[0],k[1]] = F[20,x]*F[83,x,k[0],k[1]]
F[88,x,k[0],k[1]] = F[89,x,k[0],k[1]]
F[89,x,k[0],k[1]] = F[47,x,k[0]]*F[90,x,k[0],k[1]]
F[90,x,k[0],k[1]] = F[84,x,k[0],k[1]]+F[91,x,k[1]]
F[91,x,k[0]] = F[44,x,k[0]]+F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[93,x,k[0]] = F[14,x,k[0]]*F[20,x]
F[94,x,k[0],k[1]] = F[95,x,k[0],k[1]]
F[95,x,k[0],k[1]] = F[47,x,k[0]]*F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = F[166,x,k[0],k[1]]+F[97,x,k[0],k[1]]
F[98,x,k[0],k[1]] = F[169,x,k[0],k[1]]+F[97,x,k[0],k[1]]
F[98,x,k[0],k[1]] = F[167,x,k[0],k[1]]+F[90,x,k[0],k[1]]+F[99,x,k[0],k[1]]
F[99,x,k[0],k[1]] = F[100,x,k[0],k[1]]
F[100,x,k[0],k[1]] = F[101,x,k[0],k[1]]*F[20,x]
F[101,x,k[0],k[1]] = F[102,x,k[0],k[1]]
F[102,x,k[0],k[1]] = F[103,x,k[0],k[1]]+F[164,x,k[0],k[1]]
F[103,x,k[0],k[1]] = F[104,x,k[0],k[1]]*F[105,x]
F[104,x,k[0],k[1]] = F[90,x,k[0],k[1]]
F[105,x] = 1/F[20,x]*F[106,x]
F[106,x] = -F[1,x]-F[109,x]+F[107,x]
F[107,x] = 1/F[20,x]*F[108,x]
F[108,x] = F[2,x]
F[109,x] = F[110,x]*F[20,x]
F[110,x] = F[111,x]+F[4,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[20,x]
F[113,x] = F[114,x]+F[154,x]
F[114,x] = F[115,x]+F[131,x]
F[115,x] = F[116,x]*F[4,x]
F[116,x] = -F[117,x]+F[110,x]
F[117,x] = F[118,x]+F[138,x]+F[140,x]+F[6,x]
F[118,x] = -F[1,x]-F[119,x]-F[122,x]+F[110,x]
F[119,x] = F[120,x]
F[120,x] = F[110,x]*F[121,x]*F[20,x]
F[121,x] = -1+(x^2-2*x)*F[121,x]^2+(2+x)*F[121,x]
F[122,x] = F[123,x]*F[20,x]
F[123,x] = F[110,x]+F[124,x]
F[124,x] = F[125,x]+F[128,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[4,x]
F[127,x] = (x*F[127,x]+x-1)*(x*F[127,x]+x-2*F[127,x])
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[20,x]
F[130,x] = F[131,x]+F[137,x]
F[131,x] = F[0,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[116,x]*F[121,x]*F[134,x]*F[20,x]
F[134,x] = F[121,x]+F[135,x]
F[135,x] = F[136,x]
F[136,x] = F[121,x]*F[134,x]*F[20,x]
F[137,x] = F[111,x]*F[116,x]
F[138,x] = F[139,x]
F[139,x] = F[117,x]*F[121,x]*F[20,x]
F[140,x] = F[141,x]*F[20,x]
F[141,x] = 2*F[6,x]+F[142,x]+F[150,x]+F[152,x]
F[142,x] = F[143,x]*F[20,x]
F[143,x] = F[144,x]+F[145,x]
F[144,x] = 1/F[20,x]*F[118,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[20,x]
F[147,x] = F[148,x]+F[149,x]
F[148,x] = F[116,x]*F[144,x]
F[149,x] = F[107,x]*F[132,x]
F[150,x] = F[151,x]
F[151,x] = F[121,x]^2*F[117,x]*F[20,x]
F[152,x] = F[153,x]
F[153,x] = F[121,x]*F[141,x]*F[20,x]
F[154,x] = 2*F[6,x]+F[155,x]+F[160,x]+F[162,x]
F[155,x] = F[156,x]
F[156,x] = F[157,x]*F[20,x]
F[157,x] = F[158,x]+F[159,x]
F[158,x] = F[0,x]*F[143,x]
F[159,x] = F[123,x]*F[5,x]
F[160,x] = F[161,x]
F[161,x] = F[121,x]^2*F[0,x]*F[117,x]*F[20,x]
F[162,x] = F[163,x]
F[163,x] = F[121,x]*F[154,x]*F[20,x]
F[164,x,k[0],k[1]] = F[165,x,k[0],k[1]]*F[4,x]
F[165,x,k[0],k[1]] = F[166,x,k[0],k[1]]
F[166,x,k[0],k[1]] = F[59,x,k[1]]+F[94,x,k[0],k[1]]
F[167,x,k[0],k[1]] = F[168,x,k[0],k[1]]
F[168,x,k[0],k[1]] = F[110,x]*F[20,x]*F[90,x,k[0],k[1]]
F[169,x,k[0],k[1]] = F[170,x,k[0],k[1]]
F[171,x,k[0],k[1]] = F[170,x,k[0],k[1]]*F[172,x,k[0]]
F[171,x,k[0],k[1]] = F[85,x,k[0],k[1]]
F[172,x,k[0]] = k[0]*x
F[173,x,k[0],k[1]] = -k[0]*(F[83,x,1,k[1]]-F[83,x,k[0],k[1]])/(-1+k[0])
F[174,x,k[0],k[1]] = F[175,x,k[0],k[1]]
F[175,x,k[0],k[1]] = F[176,x,k[0],k[1]]*F[20,x]
F[176,x,k[0],k[1]] = F[177,x,k[1]]+F[224,x,k[0],k[1]]
F[177,x,k[0]] = 1/(-1+k[0])*(F[178,x,k[0]]*k[0]-F[178,x,1])
F[178,x,k[0]] = F[179,x,k[0]]+F[223,x,k[0]]
F[179,x,k[0]] = F[180,x,1,k[0]]
F[75,x,k[0],k[1]] = F[180,x,k[0],k[1]]+F[181,x,k[0],k[1]]
F[181,x,k[0],k[1]] = F[182,x,k[0],k[1]]
F[182,x,k[0],k[1]] = F[183,x,k[1]]*F[20,x]*F[219,x,k[0]]
F[184,x,k[0]] = F[183,x,k[0]]*F[20,x]*F[219,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]
F[73,x,k[0]] = F[185,x,k[0]]+F[186,x,k[0]]
F[69,x,k[0]] = F[186,x,k[0]]+F[187,x,k[0]]
F[187,x,k[0]] = F[188,x,1,k[0]]
F[188,x,k[0],k[1]] = F[189,x,k[0]*k[1],k[1]]
F[189,x,k[0],k[1]] = F[190,x,k[0],k[1]]+F[203,x,k[0],k[1]]
F[190,x,k[0],k[1]] = F[191,x,k[0],k[1]]
F[191,x,k[0],k[1]] = F[192,x,k[0]]*F[20,x]*F[56,x,k[0],k[1]]
F[192,x,k[0]] = F[1,x]+F[193,x,k[0]]
F[193,x,k[0]] = F[194,x,k[0]]
F[194,x,k[0]] = F[195,x,k[0]]*F[47,x,k[0]]
F[195,x,k[0]] = F[192,x,k[0]]+F[196,x,k[0]]
F[196,x,k[0]] = F[197,x,k[0]]+F[200,x,k[0]]
F[197,x,k[0]] = F[198,x,k[0]]
F[198,x,k[0]] = F[199,x,k[0]]*F[47,x,k[0]]
F[199,x,k[0]] = F[1,x]+F[197,x,k[0]]
F[200,x,k[0]] = F[201,x,k[0]]
F[201,x,k[0]] = F[202,x,k[0]]*F[47,x,k[0]]
F[202,x,k[0]] = F[193,x,k[0]]+F[200,x,k[0]]
F[204,x,k[0],k[1]] = F[203,x,k[0],k[1]]+F[215,x,k[0],k[1]]
F[204,x,k[0],k[1]] = F[205,x,k[0],k[1]]
F[205,x,k[0],k[1]] = F[192,x,k[0]]*F[20,x]*F[206,x,k[0],k[1]]
F[206,x,k[0],k[1]] = 1/(-1+k[0])*(F[207,x,k[0],k[1]]*k[0]-F[207,x,1,k[1]])
F[207,x,k[0],k[1]] = F[208,x,k[0],k[1]]+F[97,x,k[0],k[1]]
F[208,x,k[0],k[1]] = F[209,x,k[0],k[1]]+F[210,x,k[0],k[1]]
F[209,x,k[0],k[1]] = F[180,x,k[0],k[1]]+F[189,x,k[0],k[1]]
F[210,x,k[0],k[1]] = F[211,x,k[0],k[1]]
F[211,x,k[0],k[1]] = F[20,x]*F[212,x,k[0],k[1]]
F[212,x,k[0],k[1]] = F[213,x,k[0],k[1]]
F[213,x,k[0],k[1]] = F[165,x,k[0],k[1]]+F[214,x,k[0],k[1]]
F[214,x,k[0],k[1]] = F[98,x,k[0],k[1]]
F[215,x,k[0],k[1]] = F[216,x,k[0],k[1]]
F[216,x,k[0],k[1]] = F[192,x,k[0]]*F[20,x]*F[217,x,k[0],k[1]]
F[217,x,k[0],k[1]] = 1/(-1+k[0])*(F[218,x,k[0],k[1]]*k[0]-F[218,x,1,k[1]])
F[218,x,k[0],k[1]] = F[180,x,k[0],k[1]]+F[210,x,k[0],k[1]]
F[219,x,k[0]] = F[192,x,k[0]]+F[220,x,k[0]]
F[220,x,k[0]] = F[221,x,k[0]]
F[221,x,k[0]] = F[192,x,k[0]]*F[20,x]*F[222,x,k[0]]
F[222,x,k[0]] = 1/(-1+k[0])*(F[219,x,k[0]]*k[0]-F[219,x,1])
F[223,x,k[0]] = F[181,x,1,k[0]]
F[224,x,k[0],k[1]] = -k[0]*(F[225,x,1,k[1]]-F[225,x,k[0],k[1]])/(-1+k[0])
F[225,x,k[0],k[1]] = F[226,x,k[0],k[1]]+F[227,x,k[0],k[1]]+F[228,x,k[0],k[1]]+F[6,x]
F[226,x,k[0],k[1]] = F[173,x,k[0],k[1]]*F[20,x]
F[227,x,k[0],k[1]] = F[20,x]*F[224,x,k[0],k[1]]
F[228,x,k[0],k[1]] = F[229,x,k[0],k[1]]*F[47,x,k[0]]
F[229,x,k[0],k[1]] = F[174,x,k[0],k[1]]+F[230,x,k[0],k[1]]+F[237,x,k[0],k[1]]+F[238,x,k[0],k[1]]+F[76,x,k[1]]
F[230,x,k[0],k[1]] = F[231,x,k[0],k[1]]
F[231,x,k[0],k[1]] = F[20,x]*F[232,x,k[0],k[1]]
F[232,x,k[0],k[1]] = F[233,x,k[0],k[1]]+F[79,x,k[0],k[1]]
F[233,x,k[0],k[1]] = F[234,x,k[0],k[1]]
F[234,x,k[0],k[1]] = k[0]*F[235,x,k[0],k[1]]
F[235,x,k[0],k[1]] = F[236,x,k[0],k[1]]
F[236,x,k[0],k[1]] = F[20,x]*F[213,x,k[0],k[1]]
F[237,x,k[0],k[1]] = F[47,x,k[0]]*F[75,x,k[0],k[1]]
F[238,x,k[0],k[1]] = F[239,x,k[0],k[1]]*F[47,x,k[0]]
F[239,x,k[0],k[1]] = F[229,x,k[0],k[1]]+F[240,x,k[0],k[1]]
F[240,x,k[0],k[1]] = F[241,x,k[0],k[1]]
F[229,x,k[0],k[1]] = F[241,x,k[0],k[1]]+F[75,x,k[0],k[1]]
F[242,x,k[0]] = F[20,x]*F[243,x,k[0]]
F[243,x,k[0]] = F[244,x,1,k[0]]
F[244,x,k[0],k[1]] = (-F[245,x,1,k[1]]*k[1]+F[245,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[245,x,k[0],k[1]] = F[209,x,k[0]*k[1],k[1]]
F[246,x,k[0]] = F[247,x,1,k[0]]
F[247,x,k[0],k[1]] = F[248,x,k[0]*k[1],k[1]]
F[248,x,k[0],k[1]] = F[249,x,k[0],k[1]]*F[47,x,k[0]]
F[249,x,k[0],k[1]] = F[209,x,k[0],k[1]]+F[250,x,k[0],k[1]]
F[250,x,k[0],k[1]] = k[0]*F[251,x,k[0],k[1]]
F[251,x,k[0],k[1]] = 3*F[6,x]+F[252,x,k[0],k[1]]+F[254,x,k[0],k[1]]+F[255,x,k[0],k[1]]
F[252,x,k[0],k[1]] = F[253,x,k[0],k[1]]
F[253,x,k[0],k[1]] = F[20,x]*F[235,x,k[0],k[1]]
F[254,x,k[0],k[1]] = F[20,x]*F[209,x,k[0],k[1]]
F[255,x,k[0],k[1]] = F[256,x,k[0],k[1]]
F[256,x,k[0],k[1]] = F[251,x,k[0],k[1]]*F[47,x,k[0]]
F[257,x,k[0]] = F[20,x]*F[258,x,k[0]]
F[258,x,k[0]] = F[259,x,1,k[0]]
F[259,x,k[0],k[1]] = (-F[260,x,1,k[1]]*k[1]+F[260,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[260,x,k[0],k[1]] = F[90,x,k[0]*k[1],k[1]]
F[261,x,k[0]] = F[262,x,1,k[0]]
F[262,x,k[0],k[1]] = -k[0]*(F[263,x,1,k[1]]-F[263,x,k[0]/k[1],k[1]])/(-k[1]+k[0])
F[263,x,k[0],k[1]] = F[264,x,k[0]*k[1],k[1]]
F[264,x,k[0],k[1]] = F[265,x,k[0],k[1]]+F[84,x,k[0],k[1]]
F[265,x,k[0],k[1]] = F[266,x,k[0],k[1]]
F[266,x,k[0],k[1]] = F[47,x,k[0]]*F[97,x,k[0],k[1]]
F[267,x,k[0]] = F[263,x,1,k[0]]
F[268,x,k[0]] = F[90,x,1,k[0]]
F[269,x,k[0]] = F[94,x,1,k[0]]
F[270,x,k[0]] = F[271,x,k[0]]
F[271,x,k[0]] = F[20,x]*F[272,x,k[0]]
F[272,x,k[0]] = F[273,x,k[0]]
F[273,x,k[0]] = F[20,x]*F[274,x,k[0]]
F[274,x,k[0]] = F[275,x,k[0]]+F[276,x,k[0]]
F[275,x,k[0]] = F[105,x]*F[43,x,k[0]]
F[276,x,k[0]] = F[277,x,k[0]]*F[4,x]
F[277,x,k[0]] = F[278,x,k[0]]
F[278,x,k[0]] = F[199,x,k[0]]*F[20,x]*F[54,x,k[0]]
F[279,x,k[0]] = F[280,x,k[0]]
F[280,x,k[0]] = F[20,x]*F[281,x,k[0]]
F[281,x,k[0]] = F[282,x,k[0]]
F[282,x,k[0]] = F[110,x]*F[20,x]*F[43,x,k[0]]
F[283,x,k[0],k[1]] = F[20,x]*F[23,x,k[0],k[1]]
F[284,x,k[0],k[1]] = F[285,x,k[0],k[1]]
F[285,x,k[0],k[1]] = F[33,x,k[0],k[1]]*F[47,x,k[0]]
F[286,x,k[0],k[1]] = F[287,x,k[1]]
F[287,x,k[0]] = F[288,x,k[0]]*F[47,x,k[0]]
F[288,x,k[0]] = 2*F[6,x]+F[289,x,k[0]]+F[290,x,k[0]]+F[312,x,k[0]]
F[289,x,k[0]] = F[20,x]*F[36,x,k[0]]
F[290,x,k[0]] = F[291,x,1,k[0]]
F[291,x,k[0],k[1]] = F[292,x,k[1]]*F[47,x,k[0]]
F[292,x,k[0]] = F[293,x,k[0]]+F[44,x,k[0]]
F[293,x,k[0]] = F[294,x,k[0]]
F[294,x,k[0]] = F[20,x]*F[295,x,k[0]]
F[295,x,k[0]] = F[14,x,k[0]]+F[296,x,k[0]]
F[296,x,k[0]] = F[297,x,k[0]]
F[297,x,k[0]] = F[298,x,k[0]]*F[47,x,k[0]]
F[298,x,k[0]] = F[295,x,k[0]]+F[299,x,k[0]]+F[301,x,k[0]]
F[299,x,k[0]] = F[300,x,k[0]]
F[300,x,k[0]] = F[20,x]*F[274,x,k[0]]
F[301,x,k[0]] = F[302,x,k[0]]
F[302,x,k[0]] = F[20,x]*F[303,x,k[0]]
F[303,x,k[0]] = F[304,x,k[0]]+F[311,x,k[0]]
F[304,x,k[0]] = F[116,x]*F[305,x,k[0]]
F[305,x,k[0]] = F[306,x,1,k[0]]
F[306,x,k[0],k[1]] = F[307,x,k[0]*k[1],k[1]]
F[307,x,k[0],k[1]] = F[292,x,k[1]]+F[308,x,k[0],k[1]]+F[310,x,k[0],k[1]]
F[308,x,k[0],k[1]] = F[20,x]*F[309,x,k[0],k[1]]
F[309,x,k[0],k[1]] = F[13,x,k[0],k[1]]+F[39,x,k[1]]
F[310,x,k[0],k[1]] = F[307,x,k[0],k[1]]*F[47,x,k[0]]
F[311,x,k[0]] = F[117,x]*F[43,x,k[0]]
F[312,x,k[0]] = F[287,x,k[0]]
F[313,x,k[0],k[1]] = F[314,x,k[0],k[1]]*F[47,x,k[1]]
F[314,x,k[0],k[1]] = F[315,x,k[1]]+F[318,x,k[0],k[1]]
F[315,x,k[0]] = F[292,x,k[0]]+F[316,x,k[0]]
F[316,x,k[0]] = F[317,x,k[0]]
F[317,x,k[0]] = k[0]*F[41,x,k[0]]
F[318,x,k[0],k[1]] = F[319,x,k[0],k[1]]
F[319,x,k[0],k[1]] = k[0]*F[288,x,k[1]]
F[320,x,k[0]] = F[321,x,k[0]]*F[47,x,k[0]]
F[321,x,k[0]] = F[293,x,k[0]]+F[322,x,k[0]]
F[322,x,k[0]] = k[0]*F[50,x,k[0]]
F[323,x,k[0]] = F[324,x,k[0]]
F[324,x,k[0]] = F[325,x,k[0]]*F[47,x,k[0]]
F[325,x,k[0]] = F[298,x,k[0]]+F[326,x,k[0]]
F[326,x,k[0]] = F[327,x,k[0]]
F[327,x,k[0]] = F[199,x,k[0]]*F[328,x,k[0]]
F[328,x,k[0]] = k[0]*F[52,x,k[0]]
F[329,x] = F[20,x]*F[330,x]
F[330,x] = F[331,x,1]
F[331,x,k[0]] = F[44,x,k[0]]+F[71,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{20}\! \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_{329}\! \left(x \right)+F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = 0
F_{7}\! \left(x \right) = F_{20}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , 1, y\right)
F_{12}\! \left(x , y , z\right) = F_{13}\! \left(x , y z , z\right)
F_{13}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right)+F_{83}\! \left(x , y , z\right)
F_{15}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{323}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{21}\! \left(x , y\right)+F_{320}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{19}\! \left(x , y\right) = -\frac{-F_{9}\! \left(x , y\right)+F_{9}\! \left(x , 1\right)}{-1+y}
F_{20}\! \left(x \right) = x
F_{21}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , 1, y\right)
F_{23}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{24}\! \left(x , y , z\right)+F_{28}\! \left(x , y , z\right)+F_{30}\! \left(x , y , z\right)+F_{313}\! \left(x , y , z\right)
F_{24}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{25}\! \left(x , y , z\right)
F_{25}\! \left(x , y , z\right) = -\frac{-F_{26}\! \left(x , y , z\right) y +F_{26}\! \left(x , 1, z\right)}{-1+y}
F_{26}\! \left(x , y , z\right) = \frac{F_{27}\! \left(x , y\right) y -F_{27}\! \left(x , z\right) z}{-z +y}
F_{27}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{9}\! \left(x , y\right)
F_{28}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{29}\! \left(x , y , z\right)
F_{29}\! \left(x , y , z\right) = -\frac{-F_{23}\! \left(x , y , z\right) y +F_{23}\! \left(x , 1, z\right)}{-1+y}
F_{30}\! \left(x , y , z\right) = F_{31}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{31}\! \left(x , y , z\right) = F_{23}\! \left(x , y , z\right)+F_{32}\! \left(x , y , z\right)
F_{32}\! \left(x , y , z\right) = y F_{33}\! \left(x , y , z\right)
F_{33}\! \left(x , y , z\right) = 2 F_{6}\! \left(x \right)+F_{283}\! \left(x , y , z\right)+F_{284}\! \left(x , y , z\right)+F_{286}\! \left(x , y , z\right)+F_{34}\! \left(x , y , z\right)
F_{34}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{35}\! \left(x , y , z\right)
F_{35}\! \left(x , y , z\right) = \frac{F_{36}\! \left(x , y\right) y -F_{36}\! \left(x , z\right) z}{-z +y}
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{270}\! \left(x , y\right)+F_{279}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{48}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{43}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = y x
F_{48}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{49}\! \left(x , y\right) = F_{43}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{20}\! \left(x \right) F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , 1, y\right)
F_{55}\! \left(x , y , z\right) = F_{56}\! \left(x , y z , z\right)
F_{57}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{56}\! \left(x , y , z\right)
F_{57}\! \left(x , y , z\right) = F_{58}\! \left(x , y , z\right)
F_{58}\! \left(x , y , z\right) = F_{265}\! \left(x , y , z\right)+F_{59}\! \left(x , z\right)
F_{60}\! \left(x , y\right) = F_{269}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{268}\! \left(x , y\right)+F_{60}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{267}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{261}\! \left(x , y\right)+F_{63}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{257}\! \left(x , y\right)+F_{44}\! \left(x , y\right)+F_{49}\! \left(x , y\right)+F_{65}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{19}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{242}\! \left(x , y\right)+F_{246}\! \left(x , y\right)+F_{44}\! \left(x , y\right)+F_{65}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{69}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y , 1\right)
F_{74}\! \left(x , y , z\right) = F_{75}\! \left(x , y , y z \right)
F_{75}\! \left(x , y , z\right) = F_{174}\! \left(x , y , z\right)+F_{228}\! \left(x , y , z\right)+F_{76}\! \left(x , z\right)+F_{77}\! \left(x , y , z\right)
F_{76}\! \left(x , y\right) = -\frac{-F_{44}\! \left(x , y\right) y +F_{44}\! \left(x , 1\right)}{-1+y}
F_{77}\! \left(x , y , z\right) = F_{78}\! \left(x , y , z\right)
F_{78}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{79}\! \left(x , y , z\right)
F_{79}\! \left(x , y , z\right) = F_{173}\! \left(x , y , z\right)+F_{80}\! \left(x , z\right)
F_{80}\! \left(x , y\right) = -\frac{-F_{81}\! \left(x , y\right) y +F_{81}\! \left(x , 1\right)}{-1+y}
F_{81}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{83}\! \left(x , 1, y\right)
F_{83}\! \left(x , y , z\right) = F_{84}\! \left(x , y , z\right)+F_{94}\! \left(x , y , z\right)
F_{84}\! \left(x , y , z\right) = F_{85}\! \left(x , y , z\right)
F_{85}\! \left(x , y , z\right) = F_{6}\! \left(x \right)+F_{86}\! \left(x , y , z\right)+F_{88}\! \left(x , y , z\right)
F_{86}\! \left(x , y , z\right) = F_{87}\! \left(x , y , z\right)
F_{87}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{83}\! \left(x , y , z\right)
F_{88}\! \left(x , y , z\right) = F_{89}\! \left(x , y , z\right)
F_{89}\! \left(x , y , z\right) = F_{47}\! \left(x , y\right) F_{90}\! \left(x , y , z\right)
F_{90}\! \left(x , y , z\right) = F_{84}\! \left(x , y , z\right)+F_{91}\! \left(x , z\right)
F_{91}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{94}\! \left(x , y , z\right) = F_{95}\! \left(x , y , z\right)
F_{95}\! \left(x , y , z\right) = F_{47}\! \left(x , y\right) F_{96}\! \left(x , y , z\right)
F_{96}\! \left(x , y , z\right) = F_{166}\! \left(x , y , z\right)+F_{97}\! \left(x , y , z\right)
F_{98}\! \left(x , y , z\right) = F_{169}\! \left(x , y , z\right)+F_{97}\! \left(x , y , z\right)
F_{98}\! \left(x , y , z\right) = F_{167}\! \left(x , y , z\right)+F_{90}\! \left(x , y , z\right)+F_{99}\! \left(x , y , z\right)
F_{99}\! \left(x , y , z\right) = F_{100}\! \left(x , y , z\right)
F_{100}\! \left(x , y , z\right) = F_{101}\! \left(x , y , z\right) F_{20}\! \left(x \right)
F_{101}\! \left(x , y , z\right) = F_{102}\! \left(x , y , z\right)
F_{102}\! \left(x , y , z\right) = F_{103}\! \left(x , y , z\right)+F_{164}\! \left(x , y , z\right)
F_{103}\! \left(x , y , z\right) = F_{104}\! \left(x , y , z\right) F_{105}\! \left(x \right)
F_{104}\! \left(x , y , z\right) = F_{90}\! \left(x , y , z\right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{106}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{109}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{2}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{20}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{20}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{154}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{131}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{4}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{110}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{138}\! \left(x \right)+F_{140}\! \left(x \right)+F_{6}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{119}\! \left(x \right)-F_{122}\! \left(x \right)+F_{110}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{110}\! \left(x \right) F_{121}\! \left(x \right) F_{20}\! \left(x \right)
F_{121}\! \left(x \right) = x^{2} F_{121} \left(x \right)^{2}-2 x F_{121} \left(x \right)^{2}+F_{121}\! \left(x \right) x +2 F_{121}\! \left(x \right)-1
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{20}\! \left(x \right)
F_{123}\! \left(x \right) = F_{110}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{128}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = x^{2} F_{127} \left(x \right)^{2}+2 x^{2} F_{127}\! \left(x \right)-2 x F_{127} \left(x \right)^{2}+x^{2}-3 x F_{127}\! \left(x \right)-x +2 F_{127}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{20}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{137}\! \left(x \right)
F_{131}\! \left(x \right) = F_{0}\! \left(x \right) F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{116}\! \left(x \right) F_{121}\! \left(x \right) F_{134}\! \left(x \right) F_{20}\! \left(x \right)
F_{134}\! \left(x \right) = F_{121}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{121}\! \left(x \right) F_{134}\! \left(x \right) F_{20}\! \left(x \right)
F_{137}\! \left(x \right) = F_{111}\! \left(x \right) F_{116}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{117}\! \left(x \right) F_{121}\! \left(x \right) F_{20}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{20}\! \left(x \right)
F_{141}\! \left(x \right) = 2 F_{6}\! \left(x \right)+F_{142}\! \left(x \right)+F_{150}\! \left(x \right)+F_{152}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{20}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{145}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{20}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{148}\! \left(x \right) = F_{116}\! \left(x \right) F_{144}\! \left(x \right)
F_{149}\! \left(x \right) = F_{107}\! \left(x \right) F_{132}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{121} \left(x \right)^{2} F_{117}\! \left(x \right) F_{20}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{121}\! \left(x \right) F_{141}\! \left(x \right) F_{20}\! \left(x \right)
F_{154}\! \left(x \right) = 2 F_{6}\! \left(x \right)+F_{155}\! \left(x \right)+F_{160}\! \left(x \right)+F_{162}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{20}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)
F_{158}\! \left(x \right) = F_{0}\! \left(x \right) F_{143}\! \left(x \right)
F_{159}\! \left(x \right) = F_{123}\! \left(x \right) F_{5}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{121} \left(x \right)^{2} F_{0}\! \left(x \right) F_{117}\! \left(x \right) F_{20}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{121}\! \left(x \right) F_{154}\! \left(x \right) F_{20}\! \left(x \right)
F_{164}\! \left(x , y , z\right) = F_{165}\! \left(x , y , z\right) F_{4}\! \left(x \right)
F_{165}\! \left(x , y , z\right) = F_{166}\! \left(x , y , z\right)
F_{166}\! \left(x , y , z\right) = F_{59}\! \left(x , z\right)+F_{94}\! \left(x , y , z\right)
F_{167}\! \left(x , y , z\right) = F_{168}\! \left(x , y , z\right)
F_{168}\! \left(x , y , z\right) = F_{110}\! \left(x \right) F_{20}\! \left(x \right) F_{90}\! \left(x , y , z\right)
F_{169}\! \left(x , y , z\right) = F_{170}\! \left(x , y , z\right)
F_{171}\! \left(x , y , z\right) = F_{170}\! \left(x , y , z\right) F_{172}\! \left(x , y\right)
F_{171}\! \left(x , y , z\right) = F_{85}\! \left(x , y , z\right)
F_{172}\! \left(x , y\right) = y x
F_{173}\! \left(x , y , z\right) = -\frac{y \left(F_{83}\! \left(x , 1, z\right)-F_{83}\! \left(x , y , z\right)\right)}{-1+y}
F_{174}\! \left(x , y , z\right) = F_{175}\! \left(x , y , z\right)
F_{175}\! \left(x , y , z\right) = F_{176}\! \left(x , y , z\right) F_{20}\! \left(x \right)
F_{176}\! \left(x , y , z\right) = F_{177}\! \left(x , z\right)+F_{224}\! \left(x , y , z\right)
F_{177}\! \left(x , y\right) = -\frac{-F_{178}\! \left(x , y\right) y +F_{178}\! \left(x , 1\right)}{-1+y}
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{223}\! \left(x , y\right)
F_{179}\! \left(x , y\right) = F_{180}\! \left(x , 1, y\right)
F_{75}\! \left(x , y , z\right) = F_{180}\! \left(x , y , z\right)+F_{181}\! \left(x , y , z\right)
F_{181}\! \left(x , y , z\right) = F_{182}\! \left(x , y , z\right)
F_{182}\! \left(x , y , z\right) = F_{183}\! \left(x , z\right) F_{20}\! \left(x \right) F_{219}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{183}\! \left(x , y\right) F_{20}\! \left(x \right) F_{219}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{186}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{186}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , 1, y\right)
F_{188}\! \left(x , y , z\right) = F_{189}\! \left(x , y z , z\right)
F_{189}\! \left(x , y , z\right) = F_{190}\! \left(x , y , z\right)+F_{203}\! \left(x , y , z\right)
F_{190}\! \left(x , y , z\right) = F_{191}\! \left(x , y , z\right)
F_{191}\! \left(x , y , z\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right) F_{56}\! \left(x , y , z\right)
F_{192}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{193}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{192}\! \left(x , y\right)+F_{196}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)+F_{200}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{198}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{197}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{202}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{193}\! \left(x , y\right)+F_{200}\! \left(x , y\right)
F_{204}\! \left(x , y , z\right) = F_{203}\! \left(x , y , z\right)+F_{215}\! \left(x , y , z\right)
F_{204}\! \left(x , y , z\right) = F_{205}\! \left(x , y , z\right)
F_{205}\! \left(x , y , z\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right) F_{206}\! \left(x , y , z\right)
F_{206}\! \left(x , y , z\right) = -\frac{-F_{207}\! \left(x , y , z\right) y +F_{207}\! \left(x , 1, z\right)}{-1+y}
F_{207}\! \left(x , y , z\right) = F_{208}\! \left(x , y , z\right)+F_{97}\! \left(x , y , z\right)
F_{208}\! \left(x , y , z\right) = F_{209}\! \left(x , y , z\right)+F_{210}\! \left(x , y , z\right)
F_{209}\! \left(x , y , z\right) = F_{180}\! \left(x , y , z\right)+F_{189}\! \left(x , y , z\right)
F_{210}\! \left(x , y , z\right) = F_{211}\! \left(x , y , z\right)
F_{211}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{212}\! \left(x , y , z\right)
F_{212}\! \left(x , y , z\right) = F_{213}\! \left(x , y , z\right)
F_{213}\! \left(x , y , z\right) = F_{165}\! \left(x , y , z\right)+F_{214}\! \left(x , y , z\right)
F_{214}\! \left(x , y , z\right) = F_{98}\! \left(x , y , z\right)
F_{215}\! \left(x , y , z\right) = F_{216}\! \left(x , y , z\right)
F_{216}\! \left(x , y , z\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right) F_{217}\! \left(x , y , z\right)
F_{217}\! \left(x , y , z\right) = -\frac{-F_{218}\! \left(x , y , z\right) y +F_{218}\! \left(x , 1, z\right)}{-1+y}
F_{218}\! \left(x , y , z\right) = F_{180}\! \left(x , y , z\right)+F_{210}\! \left(x , y , z\right)
F_{219}\! \left(x , y\right) = F_{192}\! \left(x , y\right)+F_{220}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{221}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right) F_{222}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = -\frac{-F_{219}\! \left(x , y\right) y +F_{219}\! \left(x , 1\right)}{-1+y}
F_{223}\! \left(x , y\right) = F_{181}\! \left(x , 1, y\right)
F_{224}\! \left(x , y , z\right) = -\frac{y \left(F_{225}\! \left(x , 1, z\right)-F_{225}\! \left(x , y , z\right)\right)}{-1+y}
F_{225}\! \left(x , y , z\right) = F_{226}\! \left(x , y , z\right)+F_{227}\! \left(x , y , z\right)+F_{228}\! \left(x , y , z\right)+F_{6}\! \left(x \right)
F_{226}\! \left(x , y , z\right) = F_{173}\! \left(x , y , z\right) F_{20}\! \left(x \right)
F_{227}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{224}\! \left(x , y , z\right)
F_{228}\! \left(x , y , z\right) = F_{229}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{229}\! \left(x , y , z\right) = F_{174}\! \left(x , y , z\right)+F_{230}\! \left(x , y , z\right)+F_{237}\! \left(x , y , z\right)+F_{238}\! \left(x , y , z\right)+F_{76}\! \left(x , z\right)
F_{230}\! \left(x , y , z\right) = F_{231}\! \left(x , y , z\right)
F_{231}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{232}\! \left(x , y , z\right)
F_{232}\! \left(x , y , z\right) = F_{233}\! \left(x , y , z\right)+F_{79}\! \left(x , y , z\right)
F_{233}\! \left(x , y , z\right) = F_{234}\! \left(x , y , z\right)
F_{234}\! \left(x , y , z\right) = y F_{235}\! \left(x , y , z\right)
F_{235}\! \left(x , y , z\right) = F_{236}\! \left(x , y , z\right)
F_{236}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{213}\! \left(x , y , z\right)
F_{237}\! \left(x , y , z\right) = F_{47}\! \left(x , y\right) F_{75}\! \left(x , y , z\right)
F_{238}\! \left(x , y , z\right) = F_{239}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{239}\! \left(x , y , z\right) = F_{229}\! \left(x , y , z\right)+F_{240}\! \left(x , y , z\right)
F_{240}\! \left(x , y , z\right) = F_{241}\! \left(x , y , z\right)
F_{229}\! \left(x , y , z\right) = F_{241}\! \left(x , y , z\right)+F_{75}\! \left(x , y , z\right)
F_{242}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{243}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{244}\! \left(x , 1, y\right)
F_{244}\! \left(x , y , z\right) = -\frac{F_{245}\! \left(x , 1, z\right) z -F_{245}\! \left(x , \frac{y}{z}, z\right) y}{-z +y}
F_{245}\! \left(x , y , z\right) = F_{209}\! \left(x , y z , z\right)
F_{246}\! \left(x , y\right) = F_{247}\! \left(x , 1, y\right)
F_{247}\! \left(x , y , z\right) = F_{248}\! \left(x , y z , z\right)
F_{248}\! \left(x , y , z\right) = F_{249}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{249}\! \left(x , y , z\right) = F_{209}\! \left(x , y , z\right)+F_{250}\! \left(x , y , z\right)
F_{250}\! \left(x , y , z\right) = y F_{251}\! \left(x , y , z\right)
F_{251}\! \left(x , y , z\right) = 3 F_{6}\! \left(x \right)+F_{252}\! \left(x , y , z\right)+F_{254}\! \left(x , y , z\right)+F_{255}\! \left(x , y , z\right)
F_{252}\! \left(x , y , z\right) = F_{253}\! \left(x , y , z\right)
F_{253}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{235}\! \left(x , y , z\right)
F_{254}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{209}\! \left(x , y , z\right)
F_{255}\! \left(x , y , z\right) = F_{256}\! \left(x , y , z\right)
F_{256}\! \left(x , y , z\right) = F_{251}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{257}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{258}\! \left(x , y\right)
F_{258}\! \left(x , y\right) = F_{259}\! \left(x , 1, y\right)
F_{259}\! \left(x , y , z\right) = -\frac{z F_{260}\! \left(x , 1, z\right)-y F_{260}\! \left(x , \frac{y}{z}, z\right)}{-z +y}
F_{260}\! \left(x , y , z\right) = F_{90}\! \left(x , y z , z\right)
F_{261}\! \left(x , y\right) = F_{262}\! \left(x , 1, y\right)
F_{262}\! \left(x , y , z\right) = -\frac{y \left(F_{263}\! \left(x , 1, z\right)-F_{263}\! \left(x , \frac{y}{z}, z\right)\right)}{-z +y}
F_{263}\! \left(x , y , z\right) = F_{264}\! \left(x , y z , z\right)
F_{264}\! \left(x , y , z\right) = F_{265}\! \left(x , y , z\right)+F_{84}\! \left(x , y , z\right)
F_{265}\! \left(x , y , z\right) = F_{266}\! \left(x , y , z\right)
F_{266}\! \left(x , y , z\right) = F_{47}\! \left(x , y\right) F_{97}\! \left(x , y , z\right)
F_{267}\! \left(x , y\right) = F_{263}\! \left(x , 1, y\right)
F_{268}\! \left(x , y\right) = F_{90}\! \left(x , 1, y\right)
F_{269}\! \left(x , y\right) = F_{94}\! \left(x , 1, y\right)
F_{270}\! \left(x , y\right) = F_{271}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{272}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{273}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{274}\! \left(x , y\right)
F_{274}\! \left(x , y\right) = F_{275}\! \left(x , y\right)+F_{276}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{105}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{276}\! \left(x , y\right) = F_{277}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{277}\! \left(x , y\right) = F_{278}\! \left(x , y\right)
F_{278}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{20}\! \left(x \right) F_{54}\! \left(x , y\right)
F_{279}\! \left(x , y\right) = F_{280}\! \left(x , y\right)
F_{280}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{281}\! \left(x , y\right)
F_{281}\! \left(x , y\right) = F_{282}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = F_{110}\! \left(x \right) F_{20}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{283}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{23}\! \left(x , y , z\right)
F_{284}\! \left(x , y , z\right) = F_{285}\! \left(x , y , z\right)
F_{285}\! \left(x , y , z\right) = F_{33}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{286}\! \left(x , y , z\right) = F_{287}\! \left(x , z\right)
F_{287}\! \left(x , y\right) = F_{288}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{288}\! \left(x , y\right) = 2 F_{6}\! \left(x \right)+F_{289}\! \left(x , y\right)+F_{290}\! \left(x , y\right)+F_{312}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{36}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{291}\! \left(x , 1, y\right)
F_{291}\! \left(x , y , z\right) = F_{292}\! \left(x , z\right) F_{47}\! \left(x , y\right)
F_{292}\! \left(x , y\right) = F_{293}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{293}\! \left(x , y\right) = F_{294}\! \left(x , y\right)
F_{294}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{295}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{296}\! \left(x , y\right)
F_{296}\! \left(x , y\right) = F_{297}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{298}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{298}\! \left(x , y\right) = F_{295}\! \left(x , y\right)+F_{299}\! \left(x , y\right)+F_{301}\! \left(x , y\right)
F_{299}\! \left(x , y\right) = F_{300}\! \left(x , y\right)
F_{300}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{274}\! \left(x , y\right)
F_{301}\! \left(x , y\right) = F_{302}\! \left(x , y\right)
F_{302}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{303}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{304}\! \left(x , y\right)+F_{311}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{116}\! \left(x \right) F_{305}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{306}\! \left(x , 1, y\right)
F_{306}\! \left(x , y , z\right) = F_{307}\! \left(x , y z , z\right)
F_{307}\! \left(x , y , z\right) = F_{292}\! \left(x , z\right)+F_{308}\! \left(x , y , z\right)+F_{310}\! \left(x , y , z\right)
F_{308}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{309}\! \left(x , y , z\right)
F_{309}\! \left(x , y , z\right) = F_{13}\! \left(x , y , z\right)+F_{39}\! \left(x , z\right)
F_{310}\! \left(x , y , z\right) = F_{307}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{311}\! \left(x , y\right) = F_{117}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{312}\! \left(x , y\right) = F_{287}\! \left(x , y\right)
F_{313}\! \left(x , y , z\right) = F_{314}\! \left(x , y , z\right) F_{47}\! \left(x , z\right)
F_{314}\! \left(x , y , z\right) = F_{315}\! \left(x , z\right)+F_{318}\! \left(x , y , z\right)
F_{315}\! \left(x , y\right) = F_{292}\! \left(x , y\right)+F_{316}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{317}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = y F_{41}\! \left(x , y\right)
F_{318}\! \left(x , y , z\right) = F_{319}\! \left(x , y , z\right)
F_{319}\! \left(x , y , z\right) = y F_{288}\! \left(x , z\right)
F_{320}\! \left(x , y\right) = F_{321}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{293}\! \left(x , y\right)+F_{322}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = y F_{50}\! \left(x , y\right)
F_{323}\! \left(x , y\right) = F_{324}\! \left(x , y\right)
F_{324}\! \left(x , y\right) = F_{325}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{325}\! \left(x , y\right) = F_{298}\! \left(x , y\right)+F_{326}\! \left(x , y\right)
F_{326}\! \left(x , y\right) = F_{327}\! \left(x , y\right)
F_{327}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{328}\! \left(x , y\right)
F_{328}\! \left(x , y\right) = y F_{52}\! \left(x , y\right)
F_{329}\! \left(x \right) = F_{20}\! \left(x \right) F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x , 1\right)
F_{331}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_20(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_329(x) + F_6(x) + F_7(x))
Eq(F_6(x), 0)
Eq(F_7(x), F_20(x)*F_8(x))
Eq(F_8(x), F_9(x, 1))
Eq(F_9(x, k_0), F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_47(x, k_0))
Eq(F_11(x, k_0), F_12(x, 1, k_0))
Eq(F_12(x, k_0, k_1), F_13(x, k_0*k_1, k_1))
Eq(F_13(x, k_0, k_1), F_14(x, k_1) + F_83(x, k_0, k_1))
Eq(F_15(x, k_0), F_14(x, k_0) + F_323(x, k_0))
Eq(F_16(x, k_0), F_15(x, k_0)*F_20(x))
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0) + F_21(x, k_0) + F_320(x, k_0) + F_6(x))
Eq(F_18(x, k_0), F_19(x, k_0)*F_20(x))
Eq(F_19(x, k_0), -F_9(x, k_0) + (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))
Eq(F_20(x), x)
Eq(F_21(x, k_0), F_20(x)*F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, 1, k_0))
Eq(F_23(x, k_0, k_1), F_1(x) + F_24(x, k_0, k_1) + F_28(x, k_0, k_1) + F_30(x, k_0, k_1) + F_313(x, k_0, k_1))
Eq(F_24(x, k_0, k_1), F_20(x)*F_25(x, k_0, k_1))
Eq(F_25(x, k_0, k_1), (k_0*F_26(x, k_0, k_1) - F_26(x, 1, k_1))/(k_0 - 1))
Eq(F_26(x, k_0, k_1), (-k_0*F_27(x, k_0) + k_1*F_27(x, k_1))/(-k_0 + k_1))
Eq(F_27(x, k_0), F_4(x) + F_9(x, k_0))
Eq(F_28(x, k_0, k_1), F_20(x)*F_29(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), (k_0*F_23(x, k_0, k_1) - F_23(x, 1, k_1))/(k_0 - 1))
Eq(F_30(x, k_0, k_1), F_31(x, k_0, k_1)*F_47(x, k_0))
Eq(F_31(x, k_0, k_1), F_23(x, k_0, k_1) + F_32(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), k_0*F_33(x, k_0, k_1))
Eq(F_33(x, k_0, k_1), F_283(x, k_0, k_1) + F_284(x, k_0, k_1) + F_286(x, k_0, k_1) + F_34(x, k_0, k_1) + 2*F_6(x))
Eq(F_34(x, k_0, k_1), F_20(x)*F_35(x, k_0, k_1))
Eq(F_35(x, k_0, k_1), (-k_0*F_36(x, k_0) + k_1*F_36(x, k_1))/(-k_0 + k_1))
Eq(F_36(x, k_0), F_37(x, k_0))
Eq(F_37(x, k_0), F_20(x)*F_38(x, k_0))
Eq(F_38(x, k_0), F_11(x, k_0) + F_39(x, k_0))
Eq(F_39(x, k_0), F_270(x, k_0) + F_279(x, k_0) + F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0) + F_50(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0))
Eq(F_42(x, k_0), F_20(x)*F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0) + F_48(x, k_0) + F_49(x, k_0))
Eq(F_44(x, k_0), F_0(x) + F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_43(x, k_0)*F_47(x, k_0))
Eq(F_47(x, k_0), k_0*x)
Eq(F_48(x, k_0), F_11(x, k_0)*F_20(x))
Eq(F_49(x, k_0), F_43(x, k_0)*F_47(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0))
Eq(F_51(x, k_0), F_199(x, k_0)*F_20(x)*F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_20(x)*F_54(x, k_0))
Eq(F_54(x, k_0), F_55(x, 1, k_0))
Eq(F_55(x, k_0, k_1), F_56(x, k_0*k_1, k_1))
Eq(F_57(x, k_0, k_1), F_20(x)*F_56(x, k_0, k_1))
Eq(F_57(x, k_0, k_1), F_58(x, k_0, k_1))
Eq(F_58(x, k_0, k_1), F_265(x, k_0, k_1) + F_59(x, k_1))
Eq(F_60(x, k_0), F_269(x, k_0) + F_59(x, k_0))
Eq(F_61(x, k_0), F_268(x, k_0) + F_60(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0) + F_82(x, k_0))
Eq(F_63(x, k_0), F_267(x, k_0) + F_62(x, k_0))
Eq(F_64(x, k_0), F_261(x, k_0) + F_63(x, k_0))
Eq(F_64(x, k_0), F_257(x, k_0) + F_44(x, k_0) + F_49(x, k_0) + F_65(x, k_0) + F_68(x, k_0))
Eq(F_65(x, k_0), F_20(x)*F_66(x, k_0))
Eq(F_67(x, k_0), F_20(x)*F_66(x, k_0))
Eq(F_67(x, k_0), F_19(x, k_0))
Eq(F_69(x, k_0), F_242(x, k_0) + F_246(x, k_0) + F_44(x, k_0) + F_65(x, k_0) + F_68(x, k_0))
Eq(F_70(x, k_0), F_20(x)*F_69(x, k_0))
Eq(F_70(x, k_0), F_71(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0))
Eq(F_72(x, k_0), F_20(x)*F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0, 1))
Eq(F_74(x, k_0, k_1), F_75(x, k_0, k_0*k_1))
Eq(F_75(x, k_0, k_1), F_174(x, k_0, k_1) + F_228(x, k_0, k_1) + F_76(x, k_1) + F_77(x, k_0, k_1))
Eq(F_76(x, k_0), (k_0*F_44(x, k_0) - F_44(x, 1))/(k_0 - 1))
Eq(F_77(x, k_0, k_1), F_78(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_20(x)*F_79(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), F_173(x, k_0, k_1) + F_80(x, k_1))
Eq(F_80(x, k_0), (k_0*F_81(x, k_0) - F_81(x, 1))/(k_0 - 1))
Eq(F_81(x, k_0), F_14(x, k_0) + F_82(x, k_0))
Eq(F_82(x, k_0), F_83(x, 1, k_0))
Eq(F_83(x, k_0, k_1), F_84(x, k_0, k_1) + F_94(x, k_0, k_1))
Eq(F_84(x, k_0, k_1), F_85(x, k_0, k_1))
Eq(F_85(x, k_0, k_1), F_6(x) + F_86(x, k_0, k_1) + F_88(x, k_0, k_1))
Eq(F_86(x, k_0, k_1), F_87(x, k_0, k_1))
Eq(F_87(x, k_0, k_1), F_20(x)*F_83(x, k_0, k_1))
Eq(F_88(x, k_0, k_1), F_89(x, k_0, k_1))
Eq(F_89(x, k_0, k_1), F_47(x, k_0)*F_90(x, k_0, k_1))
Eq(F_90(x, k_0, k_1), F_84(x, k_0, k_1) + F_91(x, k_1))
Eq(F_91(x, k_0), F_44(x, k_0) + F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_93(x, k_0), F_14(x, k_0)*F_20(x))
Eq(F_94(x, k_0, k_1), F_95(x, k_0, k_1))
Eq(F_95(x, k_0, k_1), F_47(x, k_0)*F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), F_166(x, k_0, k_1) + F_97(x, k_0, k_1))
Eq(F_98(x, k_0, k_1), F_169(x, k_0, k_1) + F_97(x, k_0, k_1))
Eq(F_98(x, k_0, k_1), F_167(x, k_0, k_1) + F_90(x, k_0, k_1) + F_99(x, k_0, k_1))
Eq(F_99(x, k_0, k_1), F_100(x, k_0, k_1))
Eq(F_100(x, k_0, k_1), F_101(x, k_0, k_1)*F_20(x))
Eq(F_101(x, k_0, k_1), F_102(x, k_0, k_1))
Eq(F_102(x, k_0, k_1), F_103(x, k_0, k_1) + F_164(x, k_0, k_1))
Eq(F_103(x, k_0, k_1), F_104(x, k_0, k_1)*F_105(x))
Eq(F_104(x, k_0, k_1), F_90(x, k_0, k_1))
Eq(F_105(x), F_106(x)/F_20(x))
Eq(F_106(x), -F_1(x) + F_107(x) - F_109(x))
Eq(F_107(x), F_108(x)/F_20(x))
Eq(F_108(x), F_2(x))
Eq(F_109(x), F_110(x)*F_20(x))
Eq(F_110(x), F_111(x) + F_4(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_20(x))
Eq(F_113(x), F_114(x) + F_154(x))
Eq(F_114(x), F_115(x) + F_131(x))
Eq(F_115(x), F_116(x)*F_4(x))
Eq(F_116(x), F_110(x) - F_117(x))
Eq(F_117(x), F_118(x) + F_138(x) + F_140(x) + F_6(x))
Eq(F_118(x), -F_1(x) + F_110(x) - F_119(x) - F_122(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_110(x)*F_121(x)*F_20(x))
Eq(F_121(x), x*(x - 2)*F_121(x)**2 + (x + 2)*F_121(x) - 1)
Eq(F_122(x), F_123(x)*F_20(x))
Eq(F_123(x), F_110(x) + F_124(x))
Eq(F_124(x), F_125(x) + F_128(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), x*(x - 2)*(F_127(x) + 1)**2 + (x + 1)*(F_127(x) + 1) + F_127(x) - 1)
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_20(x))
Eq(F_130(x), F_131(x) + F_137(x))
Eq(F_131(x), F_0(x)*F_132(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_116(x)*F_121(x)*F_134(x)*F_20(x))
Eq(F_134(x), F_121(x) + F_135(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_121(x)*F_134(x)*F_20(x))
Eq(F_137(x), F_111(x)*F_116(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_117(x)*F_121(x)*F_20(x))
Eq(F_140(x), F_141(x)*F_20(x))
Eq(F_141(x), F_142(x) + F_150(x) + F_152(x) + 2*F_6(x))
Eq(F_142(x), F_143(x)*F_20(x))
Eq(F_143(x), F_144(x) + F_145(x))
Eq(F_144(x), F_118(x)/F_20(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_20(x))
Eq(F_147(x), F_148(x) + F_149(x))
Eq(F_148(x), F_116(x)*F_144(x))
Eq(F_149(x), F_107(x)*F_132(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_117(x)*F_121(x)**2*F_20(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_121(x)*F_141(x)*F_20(x))
Eq(F_154(x), F_155(x) + F_160(x) + F_162(x) + 2*F_6(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x)*F_20(x))
Eq(F_157(x), F_158(x) + F_159(x))
Eq(F_158(x), F_0(x)*F_143(x))
Eq(F_159(x), F_123(x)*F_5(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_0(x)*F_117(x)*F_121(x)**2*F_20(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_121(x)*F_154(x)*F_20(x))
Eq(F_164(x, k_0, k_1), F_165(x, k_0, k_1)*F_4(x))
Eq(F_165(x, k_0, k_1), F_166(x, k_0, k_1))
Eq(F_166(x, k_0, k_1), F_59(x, k_1) + F_94(x, k_0, k_1))
Eq(F_167(x, k_0, k_1), F_168(x, k_0, k_1))
Eq(F_168(x, k_0, k_1), F_110(x)*F_20(x)*F_90(x, k_0, k_1))
Eq(F_169(x, k_0, k_1), F_170(x, k_0, k_1))
Eq(F_171(x, k_0, k_1), F_170(x, k_0, k_1)*F_172(x, k_0))
Eq(F_171(x, k_0, k_1), F_85(x, k_0, k_1))
Eq(F_172(x, k_0), k_0*x)
Eq(F_173(x, k_0, k_1), -F_83(x, 1, k_1) + (k_0*F_83(x, k_0, k_1) - F_83(x, 1, k_1))/(k_0 - 1))
Eq(F_174(x, k_0, k_1), F_175(x, k_0, k_1))
Eq(F_175(x, k_0, k_1), F_176(x, k_0, k_1)*F_20(x))
Eq(F_176(x, k_0, k_1), F_177(x, k_1) + F_224(x, k_0, k_1))
Eq(F_177(x, k_0), (k_0*F_178(x, k_0) - F_178(x, 1))/(k_0 - 1))
Eq(F_178(x, k_0), F_179(x, k_0) + F_223(x, k_0))
Eq(F_179(x, k_0), F_180(x, 1, k_0))
Eq(F_75(x, k_0, k_1), F_180(x, k_0, k_1) + F_181(x, k_0, k_1))
Eq(F_181(x, k_0, k_1), F_182(x, k_0, k_1))
Eq(F_182(x, k_0, k_1), F_183(x, k_1)*F_20(x)*F_219(x, k_0))
Eq(F_184(x, k_0), F_183(x, k_0)*F_20(x)*F_219(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0))
Eq(F_73(x, k_0), F_185(x, k_0) + F_186(x, k_0))
Eq(F_69(x, k_0), F_186(x, k_0) + F_187(x, k_0))
Eq(F_187(x, k_0), F_188(x, 1, k_0))
Eq(F_188(x, k_0, k_1), F_189(x, k_0*k_1, k_1))
Eq(F_189(x, k_0, k_1), F_190(x, k_0, k_1) + F_203(x, k_0, k_1))
Eq(F_190(x, k_0, k_1), F_191(x, k_0, k_1))
Eq(F_191(x, k_0, k_1), F_192(x, k_0)*F_20(x)*F_56(x, k_0, k_1))
Eq(F_192(x, k_0), F_1(x) + F_193(x, k_0))
Eq(F_193(x, k_0), F_194(x, k_0))
Eq(F_194(x, k_0), F_195(x, k_0)*F_47(x, k_0))
Eq(F_195(x, k_0), F_192(x, k_0) + F_196(x, k_0))
Eq(F_196(x, k_0), F_197(x, k_0) + F_200(x, k_0))
Eq(F_197(x, k_0), F_198(x, k_0))
Eq(F_198(x, k_0), F_199(x, k_0)*F_47(x, k_0))
Eq(F_199(x, k_0), F_1(x) + F_197(x, k_0))
Eq(F_200(x, k_0), F_201(x, k_0))
Eq(F_201(x, k_0), F_202(x, k_0)*F_47(x, k_0))
Eq(F_202(x, k_0), F_193(x, k_0) + F_200(x, k_0))
Eq(F_204(x, k_0, k_1), F_203(x, k_0, k_1) + F_215(x, k_0, k_1))
Eq(F_204(x, k_0, k_1), F_205(x, k_0, k_1))
Eq(F_205(x, k_0, k_1), F_192(x, k_0)*F_20(x)*F_206(x, k_0, k_1))
Eq(F_206(x, k_0, k_1), (k_0*F_207(x, k_0, k_1) - F_207(x, 1, k_1))/(k_0 - 1))
Eq(F_207(x, k_0, k_1), F_208(x, k_0, k_1) + F_97(x, k_0, k_1))
Eq(F_208(x, k_0, k_1), F_209(x, k_0, k_1) + F_210(x, k_0, k_1))
Eq(F_209(x, k_0, k_1), F_180(x, k_0, k_1) + F_189(x, k_0, k_1))
Eq(F_210(x, k_0, k_1), F_211(x, k_0, k_1))
Eq(F_211(x, k_0, k_1), F_20(x)*F_212(x, k_0, k_1))
Eq(F_212(x, k_0, k_1), F_213(x, k_0, k_1))
Eq(F_213(x, k_0, k_1), F_165(x, k_0, k_1) + F_214(x, k_0, k_1))
Eq(F_214(x, k_0, k_1), F_98(x, k_0, k_1))
Eq(F_215(x, k_0, k_1), F_216(x, k_0, k_1))
Eq(F_216(x, k_0, k_1), F_192(x, k_0)*F_20(x)*F_217(x, k_0, k_1))
Eq(F_217(x, k_0, k_1), (k_0*F_218(x, k_0, k_1) - F_218(x, 1, k_1))/(k_0 - 1))
Eq(F_218(x, k_0, k_1), F_180(x, k_0, k_1) + F_210(x, k_0, k_1))
Eq(F_219(x, k_0), F_192(x, k_0) + F_220(x, k_0))
Eq(F_220(x, k_0), F_221(x, k_0))
Eq(F_221(x, k_0), F_192(x, k_0)*F_20(x)*F_222(x, k_0))
Eq(F_222(x, k_0), (k_0*F_219(x, k_0) - F_219(x, 1))/(k_0 - 1))
Eq(F_223(x, k_0), F_181(x, 1, k_0))
Eq(F_224(x, k_0, k_1), -F_225(x, 1, k_1) + (k_0*F_225(x, k_0, k_1) - F_225(x, 1, k_1))/(k_0 - 1))
Eq(F_225(x, k_0, k_1), F_226(x, k_0, k_1) + F_227(x, k_0, k_1) + F_228(x, k_0, k_1) + F_6(x))
Eq(F_226(x, k_0, k_1), F_173(x, k_0, k_1)*F_20(x))
Eq(F_227(x, k_0, k_1), F_20(x)*F_224(x, k_0, k_1))
Eq(F_228(x, k_0, k_1), F_229(x, k_0, k_1)*F_47(x, k_0))
Eq(F_229(x, k_0, k_1), F_174(x, k_0, k_1) + F_230(x, k_0, k_1) + F_237(x, k_0, k_1) + F_238(x, k_0, k_1) + F_76(x, k_1))
Eq(F_230(x, k_0, k_1), F_231(x, k_0, k_1))
Eq(F_231(x, k_0, k_1), F_20(x)*F_232(x, k_0, k_1))
Eq(F_232(x, k_0, k_1), F_233(x, k_0, k_1) + F_79(x, k_0, k_1))
Eq(F_233(x, k_0, k_1), F_234(x, k_0, k_1))
Eq(F_234(x, k_0, k_1), k_0*F_235(x, k_0, k_1))
Eq(F_235(x, k_0, k_1), F_236(x, k_0, k_1))
Eq(F_236(x, k_0, k_1), F_20(x)*F_213(x, k_0, k_1))
Eq(F_237(x, k_0, k_1), F_47(x, k_0)*F_75(x, k_0, k_1))
Eq(F_238(x, k_0, k_1), F_239(x, k_0, k_1)*F_47(x, k_0))
Eq(F_239(x, k_0, k_1), F_229(x, k_0, k_1) + F_240(x, k_0, k_1))
Eq(F_240(x, k_0, k_1), F_241(x, k_0, k_1))
Eq(F_229(x, k_0, k_1), F_241(x, k_0, k_1) + F_75(x, k_0, k_1))
Eq(F_242(x, k_0), F_20(x)*F_243(x, k_0))
Eq(F_243(x, k_0), F_244(x, 1, k_0))
Eq(F_244(x, k_0, k_1), (-k_0*F_245(x, k_0/k_1, k_1) + k_1*F_245(x, 1, k_1))/(-k_0 + k_1))
Eq(F_245(x, k_0, k_1), F_209(x, k_0*k_1, k_1))
Eq(F_246(x, k_0), F_247(x, 1, k_0))
Eq(F_247(x, k_0, k_1), F_248(x, k_0*k_1, k_1))
Eq(F_248(x, k_0, k_1), F_249(x, k_0, k_1)*F_47(x, k_0))
Eq(F_249(x, k_0, k_1), F_209(x, k_0, k_1) + F_250(x, k_0, k_1))
Eq(F_250(x, k_0, k_1), k_0*F_251(x, k_0, k_1))
Eq(F_251(x, k_0, k_1), F_252(x, k_0, k_1) + F_254(x, k_0, k_1) + F_255(x, k_0, k_1) + 3*F_6(x))
Eq(F_252(x, k_0, k_1), F_253(x, k_0, k_1))
Eq(F_253(x, k_0, k_1), F_20(x)*F_235(x, k_0, k_1))
Eq(F_254(x, k_0, k_1), F_20(x)*F_209(x, k_0, k_1))
Eq(F_255(x, k_0, k_1), F_256(x, k_0, k_1))
Eq(F_256(x, k_0, k_1), F_251(x, k_0, k_1)*F_47(x, k_0))
Eq(F_257(x, k_0), F_20(x)*F_258(x, k_0))
Eq(F_258(x, k_0), F_259(x, 1, k_0))
Eq(F_259(x, k_0, k_1), (-k_0*F_260(x, k_0/k_1, k_1) + k_1*F_260(x, 1, k_1))/(-k_0 + k_1))
Eq(F_260(x, k_0, k_1), F_90(x, k_0*k_1, k_1))
Eq(F_261(x, k_0), F_262(x, 1, k_0))
Eq(F_262(x, k_0, k_1), -F_263(x, 1, k_1) + (-k_0*F_263(x, k_0/k_1, k_1) + k_1*F_263(x, 1, k_1))/(-k_0 + k_1))
Eq(F_263(x, k_0, k_1), F_264(x, k_0*k_1, k_1))
Eq(F_264(x, k_0, k_1), F_265(x, k_0, k_1) + F_84(x, k_0, k_1))
Eq(F_265(x, k_0, k_1), F_266(x, k_0, k_1))
Eq(F_266(x, k_0, k_1), F_47(x, k_0)*F_97(x, k_0, k_1))
Eq(F_267(x, k_0), F_263(x, 1, k_0))
Eq(F_268(x, k_0), F_90(x, 1, k_0))
Eq(F_269(x, k_0), F_94(x, 1, k_0))
Eq(F_270(x, k_0), F_271(x, k_0))
Eq(F_271(x, k_0), F_20(x)*F_272(x, k_0))
Eq(F_272(x, k_0), F_273(x, k_0))
Eq(F_273(x, k_0), F_20(x)*F_274(x, k_0))
Eq(F_274(x, k_0), F_275(x, k_0) + F_276(x, k_0))
Eq(F_275(x, k_0), F_105(x)*F_43(x, k_0))
Eq(F_276(x, k_0), F_277(x, k_0)*F_4(x))
Eq(F_277(x, k_0), F_278(x, k_0))
Eq(F_278(x, k_0), F_199(x, k_0)*F_20(x)*F_54(x, k_0))
Eq(F_279(x, k_0), F_280(x, k_0))
Eq(F_280(x, k_0), F_20(x)*F_281(x, k_0))
Eq(F_281(x, k_0), F_282(x, k_0))
Eq(F_282(x, k_0), F_110(x)*F_20(x)*F_43(x, k_0))
Eq(F_283(x, k_0, k_1), F_20(x)*F_23(x, k_0, k_1))
Eq(F_284(x, k_0, k_1), F_285(x, k_0, k_1))
Eq(F_285(x, k_0, k_1), F_33(x, k_0, k_1)*F_47(x, k_0))
Eq(F_286(x, k_0, k_1), F_287(x, k_1))
Eq(F_287(x, k_0), F_288(x, k_0)*F_47(x, k_0))
Eq(F_288(x, k_0), F_289(x, k_0) + F_290(x, k_0) + F_312(x, k_0) + 2*F_6(x))
Eq(F_289(x, k_0), F_20(x)*F_36(x, k_0))
Eq(F_290(x, k_0), F_291(x, 1, k_0))
Eq(F_291(x, k_0, k_1), F_292(x, k_1)*F_47(x, k_0))
Eq(F_292(x, k_0), F_293(x, k_0) + F_44(x, k_0))
Eq(F_293(x, k_0), F_294(x, k_0))
Eq(F_294(x, k_0), F_20(x)*F_295(x, k_0))
Eq(F_295(x, k_0), F_14(x, k_0) + F_296(x, k_0))
Eq(F_296(x, k_0), F_297(x, k_0))
Eq(F_297(x, k_0), F_298(x, k_0)*F_47(x, k_0))
Eq(F_298(x, k_0), F_295(x, k_0) + F_299(x, k_0) + F_301(x, k_0))
Eq(F_299(x, k_0), F_300(x, k_0))
Eq(F_300(x, k_0), F_20(x)*F_274(x, k_0))
Eq(F_301(x, k_0), F_302(x, k_0))
Eq(F_302(x, k_0), F_20(x)*F_303(x, k_0))
Eq(F_303(x, k_0), F_304(x, k_0) + F_311(x, k_0))
Eq(F_304(x, k_0), F_116(x)*F_305(x, k_0))
Eq(F_305(x, k_0), F_306(x, 1, k_0))
Eq(F_306(x, k_0, k_1), F_307(x, k_0*k_1, k_1))
Eq(F_307(x, k_0, k_1), F_292(x, k_1) + F_308(x, k_0, k_1) + F_310(x, k_0, k_1))
Eq(F_308(x, k_0, k_1), F_20(x)*F_309(x, k_0, k_1))
Eq(F_309(x, k_0, k_1), F_13(x, k_0, k_1) + F_39(x, k_1))
Eq(F_310(x, k_0, k_1), F_307(x, k_0, k_1)*F_47(x, k_0))
Eq(F_311(x, k_0), F_117(x)*F_43(x, k_0))
Eq(F_312(x, k_0), F_287(x, k_0))
Eq(F_313(x, k_0, k_1), F_314(x, k_0, k_1)*F_47(x, k_1))
Eq(F_314(x, k_0, k_1), F_315(x, k_1) + F_318(x, k_0, k_1))
Eq(F_315(x, k_0), F_292(x, k_0) + F_316(x, k_0))
Eq(F_316(x, k_0), F_317(x, k_0))
Eq(F_317(x, k_0), k_0*F_41(x, k_0))
Eq(F_318(x, k_0, k_1), F_319(x, k_0, k_1))
Eq(F_319(x, k_0, k_1), k_0*F_288(x, k_1))
Eq(F_320(x, k_0), F_321(x, k_0)*F_47(x, k_0))
Eq(F_321(x, k_0), F_293(x, k_0) + F_322(x, k_0))
Eq(F_322(x, k_0), k_0*F_50(x, k_0))
Eq(F_323(x, k_0), F_324(x, k_0))
Eq(F_324(x, k_0), F_325(x, k_0)*F_47(x, k_0))
Eq(F_325(x, k_0), F_298(x, k_0) + F_326(x, k_0))
Eq(F_326(x, k_0), F_327(x, k_0))
Eq(F_327(x, k_0), F_199(x, k_0)*F_328(x, k_0))
Eq(F_328(x, k_0), k_0*F_52(x, k_0))
Eq(F_329(x), F_20(x)*F_330(x))
Eq(F_330(x), F_331(x, 1))
Eq(F_331(x, k_0), F_44(x, k_0) + F_71(x, k_0))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": 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, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": true}, {"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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": 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[[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {"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, 0], [0, 1], [0, 1], [0, 1], [3, 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], [3, 1]]}, {"patt": [0, 3, 1, 4, 2], "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], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 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], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [3, 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], [3, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1], [3, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 3, 4, 2], "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], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"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, 0], [0, 1], [0, 1], [3, 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], [3, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 4, 3, 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], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {"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, 0], [0, 1], [0, 1], [3, 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], [3, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [3, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}], "requirements": [[{"patt": [0], "pos": [[2, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 2, "tracked": true}}]}

Specification 2
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25292/
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[20,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[329,x]+F[6,x]+F[7,x]
F[6,x] = 0
F[7,x] = F[20,x]*F[8,x]
F[8,x] = F[9,x,1]
F[9,x,k[0]] = F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[47,x,k[0]]
F[11,x,k[0]] = F[12,x,1,k[0]]
F[12,x,k[0],k[1]] = F[13,x,k[0]*k[1],k[1]]
F[13,x,k[0],k[1]] = F[14,x,k[1]]+F[83,x,k[0],k[1]]
F[15,x,k[0]] = F[14,x,k[0]]+F[323,x,k[0]]
F[16,x,k[0]] = F[15,x,k[0]]*F[20,x]
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]+F[21,x,k[0]]+F[320,x,k[0]]+F[6,x]
F[18,x,k[0]] = F[19,x,k[0]]*F[20,x]
F[19,x,k[0]] = (F[9,x,k[0]]-F[9,x,1])/(-1+k[0])
F[20,x] = x
F[21,x,k[0]] = F[20,x]*F[22,x,k[0]]
F[22,x,k[0]] = F[23,x,1,k[0]]
F[23,x,k[0],k[1]] = F[1,x]+F[24,x,k[0],k[1]]+F[28,x,k[0],k[1]]+F[30,x,k[0],k[1]]+F[313,x,k[0],k[1]]
F[24,x,k[0],k[1]] = F[20,x]*F[25,x,k[0],k[1]]
F[25,x,k[0],k[1]] = 1/(-1+k[0])*(F[26,x,k[0],k[1]]*k[0]-F[26,x,1,k[1]])
F[26,x,k[0],k[1]] = (F[27,x,k[0]]*k[0]-F[27,x,k[1]]*k[1])/(-k[1]+k[0])
F[27,x,k[0]] = F[4,x]+F[9,x,k[0]]
F[28,x,k[0],k[1]] = F[20,x]*F[29,x,k[0],k[1]]
F[29,x,k[0],k[1]] = 1/(-1+k[0])*(F[23,x,k[0],k[1]]*k[0]-F[23,x,1,k[1]])
F[30,x,k[0],k[1]] = F[31,x,k[0],k[1]]*F[47,x,k[0]]
F[31,x,k[0],k[1]] = F[23,x,k[0],k[1]]+F[32,x,k[0],k[1]]
F[32,x,k[0],k[1]] = k[0]*F[33,x,k[0],k[1]]
F[33,x,k[0],k[1]] = 2*F[6,x]+F[283,x,k[0],k[1]]+F[284,x,k[0],k[1]]+F[286,x,k[0],k[1]]+F[34,x,k[0],k[1]]
F[34,x,k[0],k[1]] = F[20,x]*F[35,x,k[0],k[1]]
F[35,x,k[0],k[1]] = (F[36,x,k[0]]*k[0]-F[36,x,k[1]]*k[1])/(-k[1]+k[0])
F[36,x,k[0]] = F[37,x,k[0]]
F[37,x,k[0]] = F[20,x]*F[38,x,k[0]]
F[38,x,k[0]] = F[11,x,k[0]]+F[39,x,k[0]]
F[39,x,k[0]] = F[270,x,k[0]]+F[279,x,k[0]]+F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]+F[50,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]
F[42,x,k[0]] = F[20,x]*F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]+F[48,x,k[0]]+F[49,x,k[0]]
F[44,x,k[0]] = F[0,x]+F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[43,x,k[0]]*F[47,x,k[0]]
F[47,x,k[0]] = k[0]*x
F[48,x,k[0]] = F[11,x,k[0]]*F[20,x]
F[49,x,k[0]] = F[43,x,k[0]]*F[47,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]
F[51,x,k[0]] = F[199,x,k[0]]*F[20,x]*F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[20,x]*F[54,x,k[0]]
F[54,x,k[0]] = F[55,x,1,k[0]]
F[55,x,k[0],k[1]] = F[56,x,k[0]*k[1],k[1]]
F[57,x,k[0],k[1]] = F[20,x]*F[56,x,k[0],k[1]]
F[57,x,k[0],k[1]] = F[58,x,k[0],k[1]]
F[58,x,k[0],k[1]] = F[265,x,k[0],k[1]]+F[59,x,k[1]]
F[60,x,k[0]] = F[269,x,k[0]]+F[59,x,k[0]]
F[61,x,k[0]] = F[268,x,k[0]]+F[60,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]+F[82,x,k[0]]
F[63,x,k[0]] = F[267,x,k[0]]+F[62,x,k[0]]
F[64,x,k[0]] = F[261,x,k[0]]+F[63,x,k[0]]
F[64,x,k[0]] = F[257,x,k[0]]+F[44,x,k[0]]+F[49,x,k[0]]+F[65,x,k[0]]+F[68,x,k[0]]
F[65,x,k[0]] = F[20,x]*F[66,x,k[0]]
F[67,x,k[0]] = F[20,x]*F[66,x,k[0]]
F[67,x,k[0]] = F[19,x,k[0]]
F[69,x,k[0]] = F[242,x,k[0]]+F[246,x,k[0]]+F[44,x,k[0]]+F[65,x,k[0]]+F[68,x,k[0]]
F[70,x,k[0]] = F[20,x]*F[69,x,k[0]]
F[70,x,k[0]] = F[71,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]
F[72,x,k[0]] = F[20,x]*F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0],1]
F[74,x,k[0],k[1]] = F[75,x,k[0],k[0]*k[1]]
F[75,x,k[0],k[1]] = F[174,x,k[0],k[1]]+F[228,x,k[0],k[1]]+F[76,x,k[1]]+F[77,x,k[0],k[1]]
F[76,x,k[0]] = 1/(-1+k[0])*(F[44,x,k[0]]*k[0]-F[44,x,1])
F[77,x,k[0],k[1]] = F[78,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[20,x]*F[79,x,k[0],k[1]]
F[79,x,k[0],k[1]] = F[173,x,k[0],k[1]]+F[80,x,k[1]]
F[80,x,k[0]] = 1/(-1+k[0])*(F[81,x,k[0]]*k[0]-F[81,x,1])
F[81,x,k[0]] = F[14,x,k[0]]+F[82,x,k[0]]
F[82,x,k[0]] = F[83,x,1,k[0]]
F[83,x,k[0],k[1]] = F[84,x,k[0],k[1]]+F[94,x,k[0],k[1]]
F[84,x,k[0],k[1]] = F[85,x,k[0],k[1]]
F[85,x,k[0],k[1]] = F[6,x]+F[86,x,k[0],k[1]]+F[88,x,k[0],k[1]]
F[86,x,k[0],k[1]] = F[87,x,k[0],k[1]]
F[87,x,k[0],k[1]] = F[20,x]*F[83,x,k[0],k[1]]
F[88,x,k[0],k[1]] = F[89,x,k[0],k[1]]
F[89,x,k[0],k[1]] = F[47,x,k[0]]*F[90,x,k[0],k[1]]
F[90,x,k[0],k[1]] = F[84,x,k[0],k[1]]+F[91,x,k[1]]
F[91,x,k[0]] = F[44,x,k[0]]+F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[93,x,k[0]] = F[14,x,k[0]]*F[20,x]
F[94,x,k[0],k[1]] = F[95,x,k[0],k[1]]
F[95,x,k[0],k[1]] = F[47,x,k[0]]*F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = F[166,x,k[0],k[1]]+F[97,x,k[0],k[1]]
F[98,x,k[0],k[1]] = F[169,x,k[0],k[1]]+F[97,x,k[0],k[1]]
F[98,x,k[0],k[1]] = F[167,x,k[0],k[1]]+F[90,x,k[0],k[1]]+F[99,x,k[0],k[1]]
F[99,x,k[0],k[1]] = F[100,x,k[0],k[1]]
F[100,x,k[0],k[1]] = F[101,x,k[0],k[1]]*F[20,x]
F[101,x,k[0],k[1]] = F[102,x,k[0],k[1]]
F[102,x,k[0],k[1]] = F[103,x,k[0],k[1]]+F[164,x,k[0],k[1]]
F[103,x,k[0],k[1]] = F[104,x,k[0],k[1]]*F[105,x]
F[104,x,k[0],k[1]] = F[90,x,k[0],k[1]]
F[105,x] = 1/F[20,x]*F[106,x]
F[106,x] = -F[1,x]-F[109,x]+F[107,x]
F[107,x] = 1/F[20,x]*F[108,x]
F[108,x] = F[2,x]
F[109,x] = F[110,x]*F[20,x]
F[110,x] = F[111,x]+F[4,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[20,x]
F[113,x] = F[114,x]+F[154,x]
F[114,x] = F[115,x]+F[131,x]
F[115,x] = F[116,x]*F[4,x]
F[116,x] = -F[117,x]+F[110,x]
F[117,x] = F[118,x]+F[138,x]+F[140,x]+F[6,x]
F[118,x] = -F[1,x]-F[119,x]-F[122,x]+F[110,x]
F[119,x] = F[120,x]
F[120,x] = F[110,x]*F[121,x]*F[20,x]
F[121,x] = -1+(x^2-2*x)*F[121,x]^2+(2+x)*F[121,x]
F[122,x] = F[123,x]*F[20,x]
F[123,x] = F[110,x]+F[124,x]
F[124,x] = F[125,x]+F[128,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[4,x]
F[127,x] = (x*F[127,x]+x-2*F[127,x])*(x*F[127,x]+x-1)
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[20,x]
F[130,x] = F[131,x]+F[137,x]
F[131,x] = F[0,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[116,x]*F[121,x]*F[134,x]*F[20,x]
F[134,x] = F[121,x]+F[135,x]
F[135,x] = F[136,x]
F[136,x] = F[121,x]*F[134,x]*F[20,x]
F[137,x] = F[111,x]*F[116,x]
F[138,x] = F[139,x]
F[139,x] = F[117,x]*F[121,x]*F[20,x]
F[140,x] = F[141,x]*F[20,x]
F[141,x] = 2*F[6,x]+F[142,x]+F[150,x]+F[152,x]
F[142,x] = F[143,x]*F[20,x]
F[143,x] = F[144,x]+F[145,x]
F[144,x] = 1/F[20,x]*F[118,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[20,x]
F[147,x] = F[148,x]+F[149,x]
F[148,x] = F[116,x]*F[144,x]
F[149,x] = F[107,x]*F[132,x]
F[150,x] = F[151,x]
F[151,x] = F[121,x]^2*F[117,x]*F[20,x]
F[152,x] = F[153,x]
F[153,x] = F[121,x]*F[141,x]*F[20,x]
F[154,x] = 2*F[6,x]+F[155,x]+F[160,x]+F[162,x]
F[155,x] = F[156,x]
F[156,x] = F[157,x]*F[20,x]
F[157,x] = F[158,x]+F[159,x]
F[158,x] = F[0,x]*F[143,x]
F[159,x] = F[123,x]*F[5,x]
F[160,x] = F[161,x]
F[161,x] = F[121,x]^2*F[0,x]*F[117,x]*F[20,x]
F[162,x] = F[163,x]
F[163,x] = F[121,x]*F[154,x]*F[20,x]
F[164,x,k[0],k[1]] = F[165,x,k[0],k[1]]*F[4,x]
F[165,x,k[0],k[1]] = F[166,x,k[0],k[1]]
F[166,x,k[0],k[1]] = F[59,x,k[1]]+F[94,x,k[0],k[1]]
F[167,x,k[0],k[1]] = F[168,x,k[0],k[1]]
F[168,x,k[0],k[1]] = F[110,x]*F[20,x]*F[90,x,k[0],k[1]]
F[169,x,k[0],k[1]] = F[170,x,k[0],k[1]]
F[171,x,k[0],k[1]] = F[170,x,k[0],k[1]]*F[172,x,k[0]]
F[171,x,k[0],k[1]] = F[85,x,k[0],k[1]]
F[172,x,k[0]] = k[0]*x
F[173,x,k[0],k[1]] = -k[0]*(F[83,x,1,k[1]]-F[83,x,k[0],k[1]])/(-1+k[0])
F[174,x,k[0],k[1]] = F[175,x,k[0],k[1]]
F[175,x,k[0],k[1]] = F[176,x,k[0],k[1]]*F[20,x]
F[176,x,k[0],k[1]] = F[177,x,k[1]]+F[224,x,k[0],k[1]]
F[177,x,k[0]] = 1/(-1+k[0])*(F[178,x,k[0]]*k[0]-F[178,x,1])
F[178,x,k[0]] = F[179,x,k[0]]+F[223,x,k[0]]
F[179,x,k[0]] = F[180,x,1,k[0]]
F[75,x,k[0],k[1]] = F[180,x,k[0],k[1]]+F[181,x,k[0],k[1]]
F[181,x,k[0],k[1]] = F[182,x,k[0],k[1]]
F[182,x,k[0],k[1]] = F[183,x,k[1]]*F[20,x]*F[219,x,k[0]]
F[184,x,k[0]] = F[183,x,k[0]]*F[20,x]*F[219,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]
F[73,x,k[0]] = F[185,x,k[0]]+F[186,x,k[0]]
F[69,x,k[0]] = F[186,x,k[0]]+F[187,x,k[0]]
F[187,x,k[0]] = F[188,x,1,k[0]]
F[188,x,k[0],k[1]] = F[189,x,k[0]*k[1],k[1]]
F[189,x,k[0],k[1]] = F[190,x,k[0],k[1]]+F[203,x,k[0],k[1]]
F[190,x,k[0],k[1]] = F[191,x,k[0],k[1]]
F[191,x,k[0],k[1]] = F[192,x,k[0]]*F[20,x]*F[56,x,k[0],k[1]]
F[192,x,k[0]] = F[1,x]+F[193,x,k[0]]
F[193,x,k[0]] = F[194,x,k[0]]
F[194,x,k[0]] = F[195,x,k[0]]*F[47,x,k[0]]
F[195,x,k[0]] = F[192,x,k[0]]+F[196,x,k[0]]
F[196,x,k[0]] = F[197,x,k[0]]+F[200,x,k[0]]
F[197,x,k[0]] = F[198,x,k[0]]
F[198,x,k[0]] = F[199,x,k[0]]*F[47,x,k[0]]
F[199,x,k[0]] = F[1,x]+F[197,x,k[0]]
F[200,x,k[0]] = F[201,x,k[0]]
F[201,x,k[0]] = F[202,x,k[0]]*F[47,x,k[0]]
F[202,x,k[0]] = F[193,x,k[0]]+F[200,x,k[0]]
F[204,x,k[0],k[1]] = F[203,x,k[0],k[1]]+F[215,x,k[0],k[1]]
F[204,x,k[0],k[1]] = F[205,x,k[0],k[1]]
F[205,x,k[0],k[1]] = F[192,x,k[0]]*F[20,x]*F[206,x,k[0],k[1]]
F[206,x,k[0],k[1]] = 1/(-1+k[0])*(F[207,x,k[0],k[1]]*k[0]-F[207,x,1,k[1]])
F[207,x,k[0],k[1]] = F[208,x,k[0],k[1]]+F[97,x,k[0],k[1]]
F[208,x,k[0],k[1]] = F[209,x,k[0],k[1]]+F[210,x,k[0],k[1]]
F[209,x,k[0],k[1]] = F[180,x,k[0],k[1]]+F[189,x,k[0],k[1]]
F[210,x,k[0],k[1]] = F[211,x,k[0],k[1]]
F[211,x,k[0],k[1]] = F[20,x]*F[212,x,k[0],k[1]]
F[212,x,k[0],k[1]] = F[213,x,k[0],k[1]]
F[213,x,k[0],k[1]] = F[165,x,k[0],k[1]]+F[214,x,k[0],k[1]]
F[214,x,k[0],k[1]] = F[98,x,k[0],k[1]]
F[215,x,k[0],k[1]] = F[216,x,k[0],k[1]]
F[216,x,k[0],k[1]] = F[192,x,k[0]]*F[20,x]*F[217,x,k[0],k[1]]
F[217,x,k[0],k[1]] = 1/(-1+k[0])*(F[218,x,k[0],k[1]]*k[0]-F[218,x,1,k[1]])
F[218,x,k[0],k[1]] = F[180,x,k[0],k[1]]+F[210,x,k[0],k[1]]
F[219,x,k[0]] = F[192,x,k[0]]+F[220,x,k[0]]
F[220,x,k[0]] = F[221,x,k[0]]
F[221,x,k[0]] = F[192,x,k[0]]*F[20,x]*F[222,x,k[0]]
F[222,x,k[0]] = 1/(-1+k[0])*(F[219,x,k[0]]*k[0]-F[219,x,1])
F[223,x,k[0]] = F[181,x,1,k[0]]
F[224,x,k[0],k[1]] = -k[0]*(F[225,x,1,k[1]]-F[225,x,k[0],k[1]])/(-1+k[0])
F[225,x,k[0],k[1]] = F[226,x,k[0],k[1]]+F[227,x,k[0],k[1]]+F[228,x,k[0],k[1]]+F[6,x]
F[226,x,k[0],k[1]] = F[173,x,k[0],k[1]]*F[20,x]
F[227,x,k[0],k[1]] = F[20,x]*F[224,x,k[0],k[1]]
F[228,x,k[0],k[1]] = F[229,x,k[0],k[1]]*F[47,x,k[0]]
F[229,x,k[0],k[1]] = F[174,x,k[0],k[1]]+F[230,x,k[0],k[1]]+F[237,x,k[0],k[1]]+F[238,x,k[0],k[1]]+F[76,x,k[1]]
F[230,x,k[0],k[1]] = F[231,x,k[0],k[1]]
F[231,x,k[0],k[1]] = F[20,x]*F[232,x,k[0],k[1]]
F[232,x,k[0],k[1]] = F[233,x,k[0],k[1]]+F[79,x,k[0],k[1]]
F[233,x,k[0],k[1]] = F[234,x,k[0],k[1]]
F[234,x,k[0],k[1]] = k[0]*F[235,x,k[0],k[1]]
F[235,x,k[0],k[1]] = F[236,x,k[0],k[1]]
F[236,x,k[0],k[1]] = F[20,x]*F[213,x,k[0],k[1]]
F[237,x,k[0],k[1]] = F[47,x,k[0]]*F[75,x,k[0],k[1]]
F[238,x,k[0],k[1]] = F[239,x,k[0],k[1]]*F[47,x,k[0]]
F[239,x,k[0],k[1]] = F[229,x,k[0],k[1]]+F[240,x,k[0],k[1]]
F[240,x,k[0],k[1]] = F[241,x,k[0],k[1]]
F[229,x,k[0],k[1]] = F[241,x,k[0],k[1]]+F[75,x,k[0],k[1]]
F[242,x,k[0]] = F[20,x]*F[243,x,k[0]]
F[243,x,k[0]] = F[244,x,1,k[0]]
F[244,x,k[0],k[1]] = (-F[245,x,1,k[1]]*k[1]+F[245,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[245,x,k[0],k[1]] = F[209,x,k[0]*k[1],k[1]]
F[246,x,k[0]] = F[247,x,1,k[0]]
F[247,x,k[0],k[1]] = F[248,x,k[0]*k[1],k[1]]
F[248,x,k[0],k[1]] = F[249,x,k[0],k[1]]*F[47,x,k[0]]
F[249,x,k[0],k[1]] = F[209,x,k[0],k[1]]+F[250,x,k[0],k[1]]
F[250,x,k[0],k[1]] = k[0]*F[251,x,k[0],k[1]]
F[251,x,k[0],k[1]] = 3*F[6,x]+F[252,x,k[0],k[1]]+F[254,x,k[0],k[1]]+F[255,x,k[0],k[1]]
F[252,x,k[0],k[1]] = F[253,x,k[0],k[1]]
F[253,x,k[0],k[1]] = F[20,x]*F[235,x,k[0],k[1]]
F[254,x,k[0],k[1]] = F[20,x]*F[209,x,k[0],k[1]]
F[255,x,k[0],k[1]] = F[256,x,k[0],k[1]]
F[256,x,k[0],k[1]] = F[251,x,k[0],k[1]]*F[47,x,k[0]]
F[257,x,k[0]] = F[20,x]*F[258,x,k[0]]
F[258,x,k[0]] = F[259,x,1,k[0]]
F[259,x,k[0],k[1]] = (-F[260,x,1,k[1]]*k[1]+F[260,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[260,x,k[0],k[1]] = F[90,x,k[0]*k[1],k[1]]
F[261,x,k[0]] = F[262,x,1,k[0]]
F[262,x,k[0],k[1]] = -k[0]*(F[263,x,1,k[1]]-F[263,x,k[0]/k[1],k[1]])/(-k[1]+k[0])
F[263,x,k[0],k[1]] = F[264,x,k[0]*k[1],k[1]]
F[264,x,k[0],k[1]] = F[265,x,k[0],k[1]]+F[84,x,k[0],k[1]]
F[265,x,k[0],k[1]] = F[266,x,k[0],k[1]]
F[266,x,k[0],k[1]] = F[47,x,k[0]]*F[97,x,k[0],k[1]]
F[267,x,k[0]] = F[263,x,1,k[0]]
F[268,x,k[0]] = F[90,x,1,k[0]]
F[269,x,k[0]] = F[94,x,1,k[0]]
F[270,x,k[0]] = F[271,x,k[0]]
F[271,x,k[0]] = F[20,x]*F[272,x,k[0]]
F[272,x,k[0]] = F[273,x,k[0]]
F[273,x,k[0]] = F[20,x]*F[274,x,k[0]]
F[274,x,k[0]] = F[275,x,k[0]]+F[276,x,k[0]]
F[275,x,k[0]] = F[105,x]*F[43,x,k[0]]
F[276,x,k[0]] = F[277,x,k[0]]*F[4,x]
F[277,x,k[0]] = F[278,x,k[0]]
F[278,x,k[0]] = F[199,x,k[0]]*F[20,x]*F[54,x,k[0]]
F[279,x,k[0]] = F[280,x,k[0]]
F[280,x,k[0]] = F[20,x]*F[281,x,k[0]]
F[281,x,k[0]] = F[282,x,k[0]]
F[282,x,k[0]] = F[110,x]*F[20,x]*F[43,x,k[0]]
F[283,x,k[0],k[1]] = F[20,x]*F[23,x,k[0],k[1]]
F[284,x,k[0],k[1]] = F[285,x,k[0],k[1]]
F[285,x,k[0],k[1]] = F[33,x,k[0],k[1]]*F[47,x,k[0]]
F[286,x,k[0],k[1]] = F[287,x,k[1]]
F[287,x,k[0]] = F[288,x,k[0]]*F[47,x,k[0]]
F[288,x,k[0]] = 2*F[6,x]+F[289,x,k[0]]+F[290,x,k[0]]+F[312,x,k[0]]
F[289,x,k[0]] = F[20,x]*F[36,x,k[0]]
F[290,x,k[0]] = F[291,x,1,k[0]]
F[291,x,k[0],k[1]] = F[292,x,k[1]]*F[47,x,k[0]]
F[292,x,k[0]] = F[293,x,k[0]]+F[44,x,k[0]]
F[293,x,k[0]] = F[294,x,k[0]]
F[294,x,k[0]] = F[20,x]*F[295,x,k[0]]
F[295,x,k[0]] = F[14,x,k[0]]+F[296,x,k[0]]
F[296,x,k[0]] = F[297,x,k[0]]
F[297,x,k[0]] = F[298,x,k[0]]*F[47,x,k[0]]
F[298,x,k[0]] = F[295,x,k[0]]+F[299,x,k[0]]+F[301,x,k[0]]
F[299,x,k[0]] = F[300,x,k[0]]
F[300,x,k[0]] = F[20,x]*F[274,x,k[0]]
F[301,x,k[0]] = F[302,x,k[0]]
F[302,x,k[0]] = F[20,x]*F[303,x,k[0]]
F[303,x,k[0]] = F[304,x,k[0]]+F[311,x,k[0]]
F[304,x,k[0]] = F[116,x]*F[305,x,k[0]]
F[305,x,k[0]] = F[306,x,1,k[0]]
F[306,x,k[0],k[1]] = F[307,x,k[0]*k[1],k[1]]
F[307,x,k[0],k[1]] = F[292,x,k[1]]+F[308,x,k[0],k[1]]+F[310,x,k[0],k[1]]
F[308,x,k[0],k[1]] = F[20,x]*F[309,x,k[0],k[1]]
F[309,x,k[0],k[1]] = F[13,x,k[0],k[1]]+F[39,x,k[1]]
F[310,x,k[0],k[1]] = F[307,x,k[0],k[1]]*F[47,x,k[0]]
F[311,x,k[0]] = F[117,x]*F[43,x,k[0]]
F[312,x,k[0]] = F[287,x,k[0]]
F[313,x,k[0],k[1]] = F[314,x,k[0],k[1]]*F[47,x,k[1]]
F[314,x,k[0],k[1]] = F[315,x,k[1]]+F[318,x,k[0],k[1]]
F[315,x,k[0]] = F[292,x,k[0]]+F[316,x,k[0]]
F[316,x,k[0]] = F[317,x,k[0]]
F[317,x,k[0]] = k[0]*F[41,x,k[0]]
F[318,x,k[0],k[1]] = F[319,x,k[0],k[1]]
F[319,x,k[0],k[1]] = k[0]*F[288,x,k[1]]
F[320,x,k[0]] = F[321,x,k[0]]*F[47,x,k[0]]
F[321,x,k[0]] = F[293,x,k[0]]+F[322,x,k[0]]
F[322,x,k[0]] = k[0]*F[50,x,k[0]]
F[323,x,k[0]] = F[324,x,k[0]]
F[324,x,k[0]] = F[325,x,k[0]]*F[47,x,k[0]]
F[325,x,k[0]] = F[298,x,k[0]]+F[326,x,k[0]]
F[326,x,k[0]] = F[327,x,k[0]]
F[327,x,k[0]] = F[199,x,k[0]]*F[328,x,k[0]]
F[328,x,k[0]] = k[0]*F[52,x,k[0]]
F[329,x] = F[20,x]*F[330,x]
F[330,x] = F[331,x,1]
F[331,x,k[0]] = F[44,x,k[0]]+F[71,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{20}\! \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_{329}\! \left(x \right)+F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = 0
F_{7}\! \left(x \right) = F_{20}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , 1, y\right)
F_{12}\! \left(x , y , z\right) = F_{13}\! \left(x , y z , z\right)
F_{13}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right)+F_{83}\! \left(x , y , z\right)
F_{15}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{323}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{21}\! \left(x , y\right)+F_{320}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{19}\! \left(x , y\right) = -\frac{-F_{9}\! \left(x , y\right)+F_{9}\! \left(x , 1\right)}{-1+y}
F_{20}\! \left(x \right) = x
F_{21}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , 1, y\right)
F_{23}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{24}\! \left(x , y , z\right)+F_{28}\! \left(x , y , z\right)+F_{30}\! \left(x , y , z\right)+F_{313}\! \left(x , y , z\right)
F_{24}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{25}\! \left(x , y , z\right)
F_{25}\! \left(x , y , z\right) = -\frac{-F_{26}\! \left(x , y , z\right) y +F_{26}\! \left(x , 1, z\right)}{-1+y}
F_{26}\! \left(x , y , z\right) = \frac{F_{27}\! \left(x , y\right) y -F_{27}\! \left(x , z\right) z}{-z +y}
F_{27}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{9}\! \left(x , y\right)
F_{28}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{29}\! \left(x , y , z\right)
F_{29}\! \left(x , y , z\right) = -\frac{-F_{23}\! \left(x , y , z\right) y +F_{23}\! \left(x , 1, z\right)}{-1+y}
F_{30}\! \left(x , y , z\right) = F_{31}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{31}\! \left(x , y , z\right) = F_{23}\! \left(x , y , z\right)+F_{32}\! \left(x , y , z\right)
F_{32}\! \left(x , y , z\right) = y F_{33}\! \left(x , y , z\right)
F_{33}\! \left(x , y , z\right) = 2 F_{6}\! \left(x \right)+F_{283}\! \left(x , y , z\right)+F_{284}\! \left(x , y , z\right)+F_{286}\! \left(x , y , z\right)+F_{34}\! \left(x , y , z\right)
F_{34}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{35}\! \left(x , y , z\right)
F_{35}\! \left(x , y , z\right) = \frac{F_{36}\! \left(x , y\right) y -F_{36}\! \left(x , z\right) z}{-z +y}
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{270}\! \left(x , y\right)+F_{279}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{48}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{43}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = y x
F_{48}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{49}\! \left(x , y\right) = F_{43}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{20}\! \left(x \right) F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , 1, y\right)
F_{55}\! \left(x , y , z\right) = F_{56}\! \left(x , y z , z\right)
F_{57}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{56}\! \left(x , y , z\right)
F_{57}\! \left(x , y , z\right) = F_{58}\! \left(x , y , z\right)
F_{58}\! \left(x , y , z\right) = F_{265}\! \left(x , y , z\right)+F_{59}\! \left(x , z\right)
F_{60}\! \left(x , y\right) = F_{269}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{268}\! \left(x , y\right)+F_{60}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{267}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{261}\! \left(x , y\right)+F_{63}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{257}\! \left(x , y\right)+F_{44}\! \left(x , y\right)+F_{49}\! \left(x , y\right)+F_{65}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{19}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{242}\! \left(x , y\right)+F_{246}\! \left(x , y\right)+F_{44}\! \left(x , y\right)+F_{65}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{69}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y , 1\right)
F_{74}\! \left(x , y , z\right) = F_{75}\! \left(x , y , y z \right)
F_{75}\! \left(x , y , z\right) = F_{174}\! \left(x , y , z\right)+F_{228}\! \left(x , y , z\right)+F_{76}\! \left(x , z\right)+F_{77}\! \left(x , y , z\right)
F_{76}\! \left(x , y\right) = -\frac{-F_{44}\! \left(x , y\right) y +F_{44}\! \left(x , 1\right)}{-1+y}
F_{77}\! \left(x , y , z\right) = F_{78}\! \left(x , y , z\right)
F_{78}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{79}\! \left(x , y , z\right)
F_{79}\! \left(x , y , z\right) = F_{173}\! \left(x , y , z\right)+F_{80}\! \left(x , z\right)
F_{80}\! \left(x , y\right) = -\frac{-F_{81}\! \left(x , y\right) y +F_{81}\! \left(x , 1\right)}{-1+y}
F_{81}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{83}\! \left(x , 1, y\right)
F_{83}\! \left(x , y , z\right) = F_{84}\! \left(x , y , z\right)+F_{94}\! \left(x , y , z\right)
F_{84}\! \left(x , y , z\right) = F_{85}\! \left(x , y , z\right)
F_{85}\! \left(x , y , z\right) = F_{6}\! \left(x \right)+F_{86}\! \left(x , y , z\right)+F_{88}\! \left(x , y , z\right)
F_{86}\! \left(x , y , z\right) = F_{87}\! \left(x , y , z\right)
F_{87}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{83}\! \left(x , y , z\right)
F_{88}\! \left(x , y , z\right) = F_{89}\! \left(x , y , z\right)
F_{89}\! \left(x , y , z\right) = F_{47}\! \left(x , y\right) F_{90}\! \left(x , y , z\right)
F_{90}\! \left(x , y , z\right) = F_{84}\! \left(x , y , z\right)+F_{91}\! \left(x , z\right)
F_{91}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{20}\! \left(x \right)
F_{94}\! \left(x , y , z\right) = F_{95}\! \left(x , y , z\right)
F_{95}\! \left(x , y , z\right) = F_{47}\! \left(x , y\right) F_{96}\! \left(x , y , z\right)
F_{96}\! \left(x , y , z\right) = F_{166}\! \left(x , y , z\right)+F_{97}\! \left(x , y , z\right)
F_{98}\! \left(x , y , z\right) = F_{169}\! \left(x , y , z\right)+F_{97}\! \left(x , y , z\right)
F_{98}\! \left(x , y , z\right) = F_{167}\! \left(x , y , z\right)+F_{90}\! \left(x , y , z\right)+F_{99}\! \left(x , y , z\right)
F_{99}\! \left(x , y , z\right) = F_{100}\! \left(x , y , z\right)
F_{100}\! \left(x , y , z\right) = F_{101}\! \left(x , y , z\right) F_{20}\! \left(x \right)
F_{101}\! \left(x , y , z\right) = F_{102}\! \left(x , y , z\right)
F_{102}\! \left(x , y , z\right) = F_{103}\! \left(x , y , z\right)+F_{164}\! \left(x , y , z\right)
F_{103}\! \left(x , y , z\right) = F_{104}\! \left(x , y , z\right) F_{105}\! \left(x \right)
F_{104}\! \left(x , y , z\right) = F_{90}\! \left(x , y , z\right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{106}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{109}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{2}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{20}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{20}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{154}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{131}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{4}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{110}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{138}\! \left(x \right)+F_{140}\! \left(x \right)+F_{6}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{119}\! \left(x \right)-F_{122}\! \left(x \right)+F_{110}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{110}\! \left(x \right) F_{121}\! \left(x \right) F_{20}\! \left(x \right)
F_{121}\! \left(x \right) = x^{2} F_{121} \left(x \right)^{2}-2 x F_{121} \left(x \right)^{2}+F_{121}\! \left(x \right) x +2 F_{121}\! \left(x \right)-1
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{20}\! \left(x \right)
F_{123}\! \left(x \right) = F_{110}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{128}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = x^{2} F_{127} \left(x \right)^{2}+2 x^{2} F_{127}\! \left(x \right)-2 x F_{127} \left(x \right)^{2}+x^{2}-3 x F_{127}\! \left(x \right)-x +2 F_{127}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{20}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{137}\! \left(x \right)
F_{131}\! \left(x \right) = F_{0}\! \left(x \right) F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{116}\! \left(x \right) F_{121}\! \left(x \right) F_{134}\! \left(x \right) F_{20}\! \left(x \right)
F_{134}\! \left(x \right) = F_{121}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{121}\! \left(x \right) F_{134}\! \left(x \right) F_{20}\! \left(x \right)
F_{137}\! \left(x \right) = F_{111}\! \left(x \right) F_{116}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{117}\! \left(x \right) F_{121}\! \left(x \right) F_{20}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{20}\! \left(x \right)
F_{141}\! \left(x \right) = 2 F_{6}\! \left(x \right)+F_{142}\! \left(x \right)+F_{150}\! \left(x \right)+F_{152}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{20}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{145}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{20}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{148}\! \left(x \right) = F_{116}\! \left(x \right) F_{144}\! \left(x \right)
F_{149}\! \left(x \right) = F_{107}\! \left(x \right) F_{132}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{121} \left(x \right)^{2} F_{117}\! \left(x \right) F_{20}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{121}\! \left(x \right) F_{141}\! \left(x \right) F_{20}\! \left(x \right)
F_{154}\! \left(x \right) = 2 F_{6}\! \left(x \right)+F_{155}\! \left(x \right)+F_{160}\! \left(x \right)+F_{162}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{20}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)
F_{158}\! \left(x \right) = F_{0}\! \left(x \right) F_{143}\! \left(x \right)
F_{159}\! \left(x \right) = F_{123}\! \left(x \right) F_{5}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{121} \left(x \right)^{2} F_{0}\! \left(x \right) F_{117}\! \left(x \right) F_{20}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{121}\! \left(x \right) F_{154}\! \left(x \right) F_{20}\! \left(x \right)
F_{164}\! \left(x , y , z\right) = F_{165}\! \left(x , y , z\right) F_{4}\! \left(x \right)
F_{165}\! \left(x , y , z\right) = F_{166}\! \left(x , y , z\right)
F_{166}\! \left(x , y , z\right) = F_{59}\! \left(x , z\right)+F_{94}\! \left(x , y , z\right)
F_{167}\! \left(x , y , z\right) = F_{168}\! \left(x , y , z\right)
F_{168}\! \left(x , y , z\right) = F_{110}\! \left(x \right) F_{20}\! \left(x \right) F_{90}\! \left(x , y , z\right)
F_{169}\! \left(x , y , z\right) = F_{170}\! \left(x , y , z\right)
F_{171}\! \left(x , y , z\right) = F_{170}\! \left(x , y , z\right) F_{172}\! \left(x , y\right)
F_{171}\! \left(x , y , z\right) = F_{85}\! \left(x , y , z\right)
F_{172}\! \left(x , y\right) = y x
F_{173}\! \left(x , y , z\right) = -\frac{y \left(F_{83}\! \left(x , 1, z\right)-F_{83}\! \left(x , y , z\right)\right)}{-1+y}
F_{174}\! \left(x , y , z\right) = F_{175}\! \left(x , y , z\right)
F_{175}\! \left(x , y , z\right) = F_{176}\! \left(x , y , z\right) F_{20}\! \left(x \right)
F_{176}\! \left(x , y , z\right) = F_{177}\! \left(x , z\right)+F_{224}\! \left(x , y , z\right)
F_{177}\! \left(x , y\right) = -\frac{-F_{178}\! \left(x , y\right) y +F_{178}\! \left(x , 1\right)}{-1+y}
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{223}\! \left(x , y\right)
F_{179}\! \left(x , y\right) = F_{180}\! \left(x , 1, y\right)
F_{75}\! \left(x , y , z\right) = F_{180}\! \left(x , y , z\right)+F_{181}\! \left(x , y , z\right)
F_{181}\! \left(x , y , z\right) = F_{182}\! \left(x , y , z\right)
F_{182}\! \left(x , y , z\right) = F_{183}\! \left(x , z\right) F_{20}\! \left(x \right) F_{219}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{183}\! \left(x , y\right) F_{20}\! \left(x \right) F_{219}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{186}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{186}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , 1, y\right)
F_{188}\! \left(x , y , z\right) = F_{189}\! \left(x , y z , z\right)
F_{189}\! \left(x , y , z\right) = F_{190}\! \left(x , y , z\right)+F_{203}\! \left(x , y , z\right)
F_{190}\! \left(x , y , z\right) = F_{191}\! \left(x , y , z\right)
F_{191}\! \left(x , y , z\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right) F_{56}\! \left(x , y , z\right)
F_{192}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{193}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{192}\! \left(x , y\right)+F_{196}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)+F_{200}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{198}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{197}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{202}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{193}\! \left(x , y\right)+F_{200}\! \left(x , y\right)
F_{204}\! \left(x , y , z\right) = F_{203}\! \left(x , y , z\right)+F_{215}\! \left(x , y , z\right)
F_{204}\! \left(x , y , z\right) = F_{205}\! \left(x , y , z\right)
F_{205}\! \left(x , y , z\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right) F_{206}\! \left(x , y , z\right)
F_{206}\! \left(x , y , z\right) = -\frac{-F_{207}\! \left(x , y , z\right) y +F_{207}\! \left(x , 1, z\right)}{-1+y}
F_{207}\! \left(x , y , z\right) = F_{208}\! \left(x , y , z\right)+F_{97}\! \left(x , y , z\right)
F_{208}\! \left(x , y , z\right) = F_{209}\! \left(x , y , z\right)+F_{210}\! \left(x , y , z\right)
F_{209}\! \left(x , y , z\right) = F_{180}\! \left(x , y , z\right)+F_{189}\! \left(x , y , z\right)
F_{210}\! \left(x , y , z\right) = F_{211}\! \left(x , y , z\right)
F_{211}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{212}\! \left(x , y , z\right)
F_{212}\! \left(x , y , z\right) = F_{213}\! \left(x , y , z\right)
F_{213}\! \left(x , y , z\right) = F_{165}\! \left(x , y , z\right)+F_{214}\! \left(x , y , z\right)
F_{214}\! \left(x , y , z\right) = F_{98}\! \left(x , y , z\right)
F_{215}\! \left(x , y , z\right) = F_{216}\! \left(x , y , z\right)
F_{216}\! \left(x , y , z\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right) F_{217}\! \left(x , y , z\right)
F_{217}\! \left(x , y , z\right) = -\frac{-F_{218}\! \left(x , y , z\right) y +F_{218}\! \left(x , 1, z\right)}{-1+y}
F_{218}\! \left(x , y , z\right) = F_{180}\! \left(x , y , z\right)+F_{210}\! \left(x , y , z\right)
F_{219}\! \left(x , y\right) = F_{192}\! \left(x , y\right)+F_{220}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{221}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{192}\! \left(x , y\right) F_{20}\! \left(x \right) F_{222}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = -\frac{-F_{219}\! \left(x , y\right) y +F_{219}\! \left(x , 1\right)}{-1+y}
F_{223}\! \left(x , y\right) = F_{181}\! \left(x , 1, y\right)
F_{224}\! \left(x , y , z\right) = -\frac{y \left(F_{225}\! \left(x , 1, z\right)-F_{225}\! \left(x , y , z\right)\right)}{-1+y}
F_{225}\! \left(x , y , z\right) = F_{226}\! \left(x , y , z\right)+F_{227}\! \left(x , y , z\right)+F_{228}\! \left(x , y , z\right)+F_{6}\! \left(x \right)
F_{226}\! \left(x , y , z\right) = F_{173}\! \left(x , y , z\right) F_{20}\! \left(x \right)
F_{227}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{224}\! \left(x , y , z\right)
F_{228}\! \left(x , y , z\right) = F_{229}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{229}\! \left(x , y , z\right) = F_{174}\! \left(x , y , z\right)+F_{230}\! \left(x , y , z\right)+F_{237}\! \left(x , y , z\right)+F_{238}\! \left(x , y , z\right)+F_{76}\! \left(x , z\right)
F_{230}\! \left(x , y , z\right) = F_{231}\! \left(x , y , z\right)
F_{231}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{232}\! \left(x , y , z\right)
F_{232}\! \left(x , y , z\right) = F_{233}\! \left(x , y , z\right)+F_{79}\! \left(x , y , z\right)
F_{233}\! \left(x , y , z\right) = F_{234}\! \left(x , y , z\right)
F_{234}\! \left(x , y , z\right) = y F_{235}\! \left(x , y , z\right)
F_{235}\! \left(x , y , z\right) = F_{236}\! \left(x , y , z\right)
F_{236}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{213}\! \left(x , y , z\right)
F_{237}\! \left(x , y , z\right) = F_{47}\! \left(x , y\right) F_{75}\! \left(x , y , z\right)
F_{238}\! \left(x , y , z\right) = F_{239}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{239}\! \left(x , y , z\right) = F_{229}\! \left(x , y , z\right)+F_{240}\! \left(x , y , z\right)
F_{240}\! \left(x , y , z\right) = F_{241}\! \left(x , y , z\right)
F_{229}\! \left(x , y , z\right) = F_{241}\! \left(x , y , z\right)+F_{75}\! \left(x , y , z\right)
F_{242}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{243}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{244}\! \left(x , 1, y\right)
F_{244}\! \left(x , y , z\right) = -\frac{F_{245}\! \left(x , 1, z\right) z -F_{245}\! \left(x , \frac{y}{z}, z\right) y}{-z +y}
F_{245}\! \left(x , y , z\right) = F_{209}\! \left(x , y z , z\right)
F_{246}\! \left(x , y\right) = F_{247}\! \left(x , 1, y\right)
F_{247}\! \left(x , y , z\right) = F_{248}\! \left(x , y z , z\right)
F_{248}\! \left(x , y , z\right) = F_{249}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{249}\! \left(x , y , z\right) = F_{209}\! \left(x , y , z\right)+F_{250}\! \left(x , y , z\right)
F_{250}\! \left(x , y , z\right) = y F_{251}\! \left(x , y , z\right)
F_{251}\! \left(x , y , z\right) = 3 F_{6}\! \left(x \right)+F_{252}\! \left(x , y , z\right)+F_{254}\! \left(x , y , z\right)+F_{255}\! \left(x , y , z\right)
F_{252}\! \left(x , y , z\right) = F_{253}\! \left(x , y , z\right)
F_{253}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{235}\! \left(x , y , z\right)
F_{254}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{209}\! \left(x , y , z\right)
F_{255}\! \left(x , y , z\right) = F_{256}\! \left(x , y , z\right)
F_{256}\! \left(x , y , z\right) = F_{251}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{257}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{258}\! \left(x , y\right)
F_{258}\! \left(x , y\right) = F_{259}\! \left(x , 1, y\right)
F_{259}\! \left(x , y , z\right) = -\frac{z F_{260}\! \left(x , 1, z\right)-y F_{260}\! \left(x , \frac{y}{z}, z\right)}{-z +y}
F_{260}\! \left(x , y , z\right) = F_{90}\! \left(x , y z , z\right)
F_{261}\! \left(x , y\right) = F_{262}\! \left(x , 1, y\right)
F_{262}\! \left(x , y , z\right) = -\frac{y \left(F_{263}\! \left(x , 1, z\right)-F_{263}\! \left(x , \frac{y}{z}, z\right)\right)}{-z +y}
F_{263}\! \left(x , y , z\right) = F_{264}\! \left(x , y z , z\right)
F_{264}\! \left(x , y , z\right) = F_{265}\! \left(x , y , z\right)+F_{84}\! \left(x , y , z\right)
F_{265}\! \left(x , y , z\right) = F_{266}\! \left(x , y , z\right)
F_{266}\! \left(x , y , z\right) = F_{47}\! \left(x , y\right) F_{97}\! \left(x , y , z\right)
F_{267}\! \left(x , y\right) = F_{263}\! \left(x , 1, y\right)
F_{268}\! \left(x , y\right) = F_{90}\! \left(x , 1, y\right)
F_{269}\! \left(x , y\right) = F_{94}\! \left(x , 1, y\right)
F_{270}\! \left(x , y\right) = F_{271}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{272}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{273}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{274}\! \left(x , y\right)
F_{274}\! \left(x , y\right) = F_{275}\! \left(x , y\right)+F_{276}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{105}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{276}\! \left(x , y\right) = F_{277}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{277}\! \left(x , y\right) = F_{278}\! \left(x , y\right)
F_{278}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{20}\! \left(x \right) F_{54}\! \left(x , y\right)
F_{279}\! \left(x , y\right) = F_{280}\! \left(x , y\right)
F_{280}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{281}\! \left(x , y\right)
F_{281}\! \left(x , y\right) = F_{282}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = F_{110}\! \left(x \right) F_{20}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{283}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{23}\! \left(x , y , z\right)
F_{284}\! \left(x , y , z\right) = F_{285}\! \left(x , y , z\right)
F_{285}\! \left(x , y , z\right) = F_{33}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{286}\! \left(x , y , z\right) = F_{287}\! \left(x , z\right)
F_{287}\! \left(x , y\right) = F_{288}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{288}\! \left(x , y\right) = 2 F_{6}\! \left(x \right)+F_{289}\! \left(x , y\right)+F_{290}\! \left(x , y\right)+F_{312}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{36}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{291}\! \left(x , 1, y\right)
F_{291}\! \left(x , y , z\right) = F_{292}\! \left(x , z\right) F_{47}\! \left(x , y\right)
F_{292}\! \left(x , y\right) = F_{293}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{293}\! \left(x , y\right) = F_{294}\! \left(x , y\right)
F_{294}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{295}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{296}\! \left(x , y\right)
F_{296}\! \left(x , y\right) = F_{297}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{298}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{298}\! \left(x , y\right) = F_{295}\! \left(x , y\right)+F_{299}\! \left(x , y\right)+F_{301}\! \left(x , y\right)
F_{299}\! \left(x , y\right) = F_{300}\! \left(x , y\right)
F_{300}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{274}\! \left(x , y\right)
F_{301}\! \left(x , y\right) = F_{302}\! \left(x , y\right)
F_{302}\! \left(x , y\right) = F_{20}\! \left(x \right) F_{303}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{304}\! \left(x , y\right)+F_{311}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{116}\! \left(x \right) F_{305}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{306}\! \left(x , 1, y\right)
F_{306}\! \left(x , y , z\right) = F_{307}\! \left(x , y z , z\right)
F_{307}\! \left(x , y , z\right) = F_{292}\! \left(x , z\right)+F_{308}\! \left(x , y , z\right)+F_{310}\! \left(x , y , z\right)
F_{308}\! \left(x , y , z\right) = F_{20}\! \left(x \right) F_{309}\! \left(x , y , z\right)
F_{309}\! \left(x , y , z\right) = F_{13}\! \left(x , y , z\right)+F_{39}\! \left(x , z\right)
F_{310}\! \left(x , y , z\right) = F_{307}\! \left(x , y , z\right) F_{47}\! \left(x , y\right)
F_{311}\! \left(x , y\right) = F_{117}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{312}\! \left(x , y\right) = F_{287}\! \left(x , y\right)
F_{313}\! \left(x , y , z\right) = F_{314}\! \left(x , y , z\right) F_{47}\! \left(x , z\right)
F_{314}\! \left(x , y , z\right) = F_{315}\! \left(x , z\right)+F_{318}\! \left(x , y , z\right)
F_{315}\! \left(x , y\right) = F_{292}\! \left(x , y\right)+F_{316}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{317}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = y F_{41}\! \left(x , y\right)
F_{318}\! \left(x , y , z\right) = F_{319}\! \left(x , y , z\right)
F_{319}\! \left(x , y , z\right) = y F_{288}\! \left(x , z\right)
F_{320}\! \left(x , y\right) = F_{321}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{293}\! \left(x , y\right)+F_{322}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = y F_{50}\! \left(x , y\right)
F_{323}\! \left(x , y\right) = F_{324}\! \left(x , y\right)
F_{324}\! \left(x , y\right) = F_{325}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{325}\! \left(x , y\right) = F_{298}\! \left(x , y\right)+F_{326}\! \left(x , y\right)
F_{326}\! \left(x , y\right) = F_{327}\! \left(x , y\right)
F_{327}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{328}\! \left(x , y\right)
F_{328}\! \left(x , y\right) = y F_{52}\! \left(x , y\right)
F_{329}\! \left(x \right) = F_{20}\! \left(x \right) F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x , 1\right)
F_{331}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_20(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_329(x) + F_6(x) + F_7(x))
Eq(F_6(x), 0)
Eq(F_7(x), F_20(x)*F_8(x))
Eq(F_8(x), F_9(x, 1))
Eq(F_9(x, k_0), F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_47(x, k_0))
Eq(F_11(x, k_0), F_12(x, 1, k_0))
Eq(F_12(x, k_0, k_1), F_13(x, k_0*k_1, k_1))
Eq(F_13(x, k_0, k_1), F_14(x, k_1) + F_83(x, k_0, k_1))
Eq(F_15(x, k_0), F_14(x, k_0) + F_323(x, k_0))
Eq(F_16(x, k_0), F_15(x, k_0)*F_20(x))
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0) + F_21(x, k_0) + F_320(x, k_0) + F_6(x))
Eq(F_18(x, k_0), F_19(x, k_0)*F_20(x))
Eq(F_19(x, k_0), -F_9(x, k_0) + (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))
Eq(F_20(x), x)
Eq(F_21(x, k_0), F_20(x)*F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, 1, k_0))
Eq(F_23(x, k_0, k_1), F_1(x) + F_24(x, k_0, k_1) + F_28(x, k_0, k_1) + F_30(x, k_0, k_1) + F_313(x, k_0, k_1))
Eq(F_24(x, k_0, k_1), F_20(x)*F_25(x, k_0, k_1))
Eq(F_25(x, k_0, k_1), (k_0*F_26(x, k_0, k_1) - F_26(x, 1, k_1))/(k_0 - 1))
Eq(F_26(x, k_0, k_1), (-k_0*F_27(x, k_0) + k_1*F_27(x, k_1))/(-k_0 + k_1))
Eq(F_27(x, k_0), F_4(x) + F_9(x, k_0))
Eq(F_28(x, k_0, k_1), F_20(x)*F_29(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), (k_0*F_23(x, k_0, k_1) - F_23(x, 1, k_1))/(k_0 - 1))
Eq(F_30(x, k_0, k_1), F_31(x, k_0, k_1)*F_47(x, k_0))
Eq(F_31(x, k_0, k_1), F_23(x, k_0, k_1) + F_32(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), k_0*F_33(x, k_0, k_1))
Eq(F_33(x, k_0, k_1), F_283(x, k_0, k_1) + F_284(x, k_0, k_1) + F_286(x, k_0, k_1) + F_34(x, k_0, k_1) + 2*F_6(x))
Eq(F_34(x, k_0, k_1), F_20(x)*F_35(x, k_0, k_1))
Eq(F_35(x, k_0, k_1), (-k_0*F_36(x, k_0) + k_1*F_36(x, k_1))/(-k_0 + k_1))
Eq(F_36(x, k_0), F_37(x, k_0))
Eq(F_37(x, k_0), F_20(x)*F_38(x, k_0))
Eq(F_38(x, k_0), F_11(x, k_0) + F_39(x, k_0))
Eq(F_39(x, k_0), F_270(x, k_0) + F_279(x, k_0) + F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0) + F_50(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0))
Eq(F_42(x, k_0), F_20(x)*F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0) + F_48(x, k_0) + F_49(x, k_0))
Eq(F_44(x, k_0), F_0(x) + F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_43(x, k_0)*F_47(x, k_0))
Eq(F_47(x, k_0), k_0*x)
Eq(F_48(x, k_0), F_11(x, k_0)*F_20(x))
Eq(F_49(x, k_0), F_43(x, k_0)*F_47(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0))
Eq(F_51(x, k_0), F_199(x, k_0)*F_20(x)*F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_20(x)*F_54(x, k_0))
Eq(F_54(x, k_0), F_55(x, 1, k_0))
Eq(F_55(x, k_0, k_1), F_56(x, k_0*k_1, k_1))
Eq(F_57(x, k_0, k_1), F_20(x)*F_56(x, k_0, k_1))
Eq(F_57(x, k_0, k_1), F_58(x, k_0, k_1))
Eq(F_58(x, k_0, k_1), F_265(x, k_0, k_1) + F_59(x, k_1))
Eq(F_60(x, k_0), F_269(x, k_0) + F_59(x, k_0))
Eq(F_61(x, k_0), F_268(x, k_0) + F_60(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0) + F_82(x, k_0))
Eq(F_63(x, k_0), F_267(x, k_0) + F_62(x, k_0))
Eq(F_64(x, k_0), F_261(x, k_0) + F_63(x, k_0))
Eq(F_64(x, k_0), F_257(x, k_0) + F_44(x, k_0) + F_49(x, k_0) + F_65(x, k_0) + F_68(x, k_0))
Eq(F_65(x, k_0), F_20(x)*F_66(x, k_0))
Eq(F_67(x, k_0), F_20(x)*F_66(x, k_0))
Eq(F_67(x, k_0), F_19(x, k_0))
Eq(F_69(x, k_0), F_242(x, k_0) + F_246(x, k_0) + F_44(x, k_0) + F_65(x, k_0) + F_68(x, k_0))
Eq(F_70(x, k_0), F_20(x)*F_69(x, k_0))
Eq(F_70(x, k_0), F_71(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0))
Eq(F_72(x, k_0), F_20(x)*F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0, 1))
Eq(F_74(x, k_0, k_1), F_75(x, k_0, k_0*k_1))
Eq(F_75(x, k_0, k_1), F_174(x, k_0, k_1) + F_228(x, k_0, k_1) + F_76(x, k_1) + F_77(x, k_0, k_1))
Eq(F_76(x, k_0), (k_0*F_44(x, k_0) - F_44(x, 1))/(k_0 - 1))
Eq(F_77(x, k_0, k_1), F_78(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_20(x)*F_79(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), F_173(x, k_0, k_1) + F_80(x, k_1))
Eq(F_80(x, k_0), (k_0*F_81(x, k_0) - F_81(x, 1))/(k_0 - 1))
Eq(F_81(x, k_0), F_14(x, k_0) + F_82(x, k_0))
Eq(F_82(x, k_0), F_83(x, 1, k_0))
Eq(F_83(x, k_0, k_1), F_84(x, k_0, k_1) + F_94(x, k_0, k_1))
Eq(F_84(x, k_0, k_1), F_85(x, k_0, k_1))
Eq(F_85(x, k_0, k_1), F_6(x) + F_86(x, k_0, k_1) + F_88(x, k_0, k_1))
Eq(F_86(x, k_0, k_1), F_87(x, k_0, k_1))
Eq(F_87(x, k_0, k_1), F_20(x)*F_83(x, k_0, k_1))
Eq(F_88(x, k_0, k_1), F_89(x, k_0, k_1))
Eq(F_89(x, k_0, k_1), F_47(x, k_0)*F_90(x, k_0, k_1))
Eq(F_90(x, k_0, k_1), F_84(x, k_0, k_1) + F_91(x, k_1))
Eq(F_91(x, k_0), F_44(x, k_0) + F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_93(x, k_0), F_14(x, k_0)*F_20(x))
Eq(F_94(x, k_0, k_1), F_95(x, k_0, k_1))
Eq(F_95(x, k_0, k_1), F_47(x, k_0)*F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), F_166(x, k_0, k_1) + F_97(x, k_0, k_1))
Eq(F_98(x, k_0, k_1), F_169(x, k_0, k_1) + F_97(x, k_0, k_1))
Eq(F_98(x, k_0, k_1), F_167(x, k_0, k_1) + F_90(x, k_0, k_1) + F_99(x, k_0, k_1))
Eq(F_99(x, k_0, k_1), F_100(x, k_0, k_1))
Eq(F_100(x, k_0, k_1), F_101(x, k_0, k_1)*F_20(x))
Eq(F_101(x, k_0, k_1), F_102(x, k_0, k_1))
Eq(F_102(x, k_0, k_1), F_103(x, k_0, k_1) + F_164(x, k_0, k_1))
Eq(F_103(x, k_0, k_1), F_104(x, k_0, k_1)*F_105(x))
Eq(F_104(x, k_0, k_1), F_90(x, k_0, k_1))
Eq(F_105(x), F_106(x)/F_20(x))
Eq(F_106(x), -F_1(x) + F_107(x) - F_109(x))
Eq(F_107(x), F_108(x)/F_20(x))
Eq(F_108(x), F_2(x))
Eq(F_109(x), F_110(x)*F_20(x))
Eq(F_110(x), F_111(x) + F_4(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_20(x))
Eq(F_113(x), F_114(x) + F_154(x))
Eq(F_114(x), F_115(x) + F_131(x))
Eq(F_115(x), F_116(x)*F_4(x))
Eq(F_116(x), F_110(x) - F_117(x))
Eq(F_117(x), F_118(x) + F_138(x) + F_140(x) + F_6(x))
Eq(F_118(x), -F_1(x) + F_110(x) - F_119(x) - F_122(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_110(x)*F_121(x)*F_20(x))
Eq(F_121(x), x*(x - 2)*F_121(x)**2 + (x + 2)*F_121(x) - 1)
Eq(F_122(x), F_123(x)*F_20(x))
Eq(F_123(x), F_110(x) + F_124(x))
Eq(F_124(x), F_125(x) + F_128(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), x*(x - 2)*(F_127(x) + 1)**2 + (x + 1)*(F_127(x) + 1) + F_127(x) - 1)
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_20(x))
Eq(F_130(x), F_131(x) + F_137(x))
Eq(F_131(x), F_0(x)*F_132(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_116(x)*F_121(x)*F_134(x)*F_20(x))
Eq(F_134(x), F_121(x) + F_135(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_121(x)*F_134(x)*F_20(x))
Eq(F_137(x), F_111(x)*F_116(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_117(x)*F_121(x)*F_20(x))
Eq(F_140(x), F_141(x)*F_20(x))
Eq(F_141(x), F_142(x) + F_150(x) + F_152(x) + 2*F_6(x))
Eq(F_142(x), F_143(x)*F_20(x))
Eq(F_143(x), F_144(x) + F_145(x))
Eq(F_144(x), F_118(x)/F_20(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_20(x))
Eq(F_147(x), F_148(x) + F_149(x))
Eq(F_148(x), F_116(x)*F_144(x))
Eq(F_149(x), F_107(x)*F_132(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_117(x)*F_121(x)**2*F_20(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_121(x)*F_141(x)*F_20(x))
Eq(F_154(x), F_155(x) + F_160(x) + F_162(x) + 2*F_6(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x)*F_20(x))
Eq(F_157(x), F_158(x) + F_159(x))
Eq(F_158(x), F_0(x)*F_143(x))
Eq(F_159(x), F_123(x)*F_5(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_0(x)*F_117(x)*F_121(x)**2*F_20(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_121(x)*F_154(x)*F_20(x))
Eq(F_164(x, k_0, k_1), F_165(x, k_0, k_1)*F_4(x))
Eq(F_165(x, k_0, k_1), F_166(x, k_0, k_1))
Eq(F_166(x, k_0, k_1), F_59(x, k_1) + F_94(x, k_0, k_1))
Eq(F_167(x, k_0, k_1), F_168(x, k_0, k_1))
Eq(F_168(x, k_0, k_1), F_110(x)*F_20(x)*F_90(x, k_0, k_1))
Eq(F_169(x, k_0, k_1), F_170(x, k_0, k_1))
Eq(F_171(x, k_0, k_1), F_170(x, k_0, k_1)*F_172(x, k_0))
Eq(F_171(x, k_0, k_1), F_85(x, k_0, k_1))
Eq(F_172(x, k_0), k_0*x)
Eq(F_173(x, k_0, k_1), -F_83(x, 1, k_1) + (k_0*F_83(x, k_0, k_1) - F_83(x, 1, k_1))/(k_0 - 1))
Eq(F_174(x, k_0, k_1), F_175(x, k_0, k_1))
Eq(F_175(x, k_0, k_1), F_176(x, k_0, k_1)*F_20(x))
Eq(F_176(x, k_0, k_1), F_177(x, k_1) + F_224(x, k_0, k_1))
Eq(F_177(x, k_0), (k_0*F_178(x, k_0) - F_178(x, 1))/(k_0 - 1))
Eq(F_178(x, k_0), F_179(x, k_0) + F_223(x, k_0))
Eq(F_179(x, k_0), F_180(x, 1, k_0))
Eq(F_75(x, k_0, k_1), F_180(x, k_0, k_1) + F_181(x, k_0, k_1))
Eq(F_181(x, k_0, k_1), F_182(x, k_0, k_1))
Eq(F_182(x, k_0, k_1), F_183(x, k_1)*F_20(x)*F_219(x, k_0))
Eq(F_184(x, k_0), F_183(x, k_0)*F_20(x)*F_219(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0))
Eq(F_73(x, k_0), F_185(x, k_0) + F_186(x, k_0))
Eq(F_69(x, k_0), F_186(x, k_0) + F_187(x, k_0))
Eq(F_187(x, k_0), F_188(x, 1, k_0))
Eq(F_188(x, k_0, k_1), F_189(x, k_0*k_1, k_1))
Eq(F_189(x, k_0, k_1), F_190(x, k_0, k_1) + F_203(x, k_0, k_1))
Eq(F_190(x, k_0, k_1), F_191(x, k_0, k_1))
Eq(F_191(x, k_0, k_1), F_192(x, k_0)*F_20(x)*F_56(x, k_0, k_1))
Eq(F_192(x, k_0), F_1(x) + F_193(x, k_0))
Eq(F_193(x, k_0), F_194(x, k_0))
Eq(F_194(x, k_0), F_195(x, k_0)*F_47(x, k_0))
Eq(F_195(x, k_0), F_192(x, k_0) + F_196(x, k_0))
Eq(F_196(x, k_0), F_197(x, k_0) + F_200(x, k_0))
Eq(F_197(x, k_0), F_198(x, k_0))
Eq(F_198(x, k_0), F_199(x, k_0)*F_47(x, k_0))
Eq(F_199(x, k_0), F_1(x) + F_197(x, k_0))
Eq(F_200(x, k_0), F_201(x, k_0))
Eq(F_201(x, k_0), F_202(x, k_0)*F_47(x, k_0))
Eq(F_202(x, k_0), F_193(x, k_0) + F_200(x, k_0))
Eq(F_204(x, k_0, k_1), F_203(x, k_0, k_1) + F_215(x, k_0, k_1))
Eq(F_204(x, k_0, k_1), F_205(x, k_0, k_1))
Eq(F_205(x, k_0, k_1), F_192(x, k_0)*F_20(x)*F_206(x, k_0, k_1))
Eq(F_206(x, k_0, k_1), (k_0*F_207(x, k_0, k_1) - F_207(x, 1, k_1))/(k_0 - 1))
Eq(F_207(x, k_0, k_1), F_208(x, k_0, k_1) + F_97(x, k_0, k_1))
Eq(F_208(x, k_0, k_1), F_209(x, k_0, k_1) + F_210(x, k_0, k_1))
Eq(F_209(x, k_0, k_1), F_180(x, k_0, k_1) + F_189(x, k_0, k_1))
Eq(F_210(x, k_0, k_1), F_211(x, k_0, k_1))
Eq(F_211(x, k_0, k_1), F_20(x)*F_212(x, k_0, k_1))
Eq(F_212(x, k_0, k_1), F_213(x, k_0, k_1))
Eq(F_213(x, k_0, k_1), F_165(x, k_0, k_1) + F_214(x, k_0, k_1))
Eq(F_214(x, k_0, k_1), F_98(x, k_0, k_1))
Eq(F_215(x, k_0, k_1), F_216(x, k_0, k_1))
Eq(F_216(x, k_0, k_1), F_192(x, k_0)*F_20(x)*F_217(x, k_0, k_1))
Eq(F_217(x, k_0, k_1), (k_0*F_218(x, k_0, k_1) - F_218(x, 1, k_1))/(k_0 - 1))
Eq(F_218(x, k_0, k_1), F_180(x, k_0, k_1) + F_210(x, k_0, k_1))
Eq(F_219(x, k_0), F_192(x, k_0) + F_220(x, k_0))
Eq(F_220(x, k_0), F_221(x, k_0))
Eq(F_221(x, k_0), F_192(x, k_0)*F_20(x)*F_222(x, k_0))
Eq(F_222(x, k_0), (k_0*F_219(x, k_0) - F_219(x, 1))/(k_0 - 1))
Eq(F_223(x, k_0), F_181(x, 1, k_0))
Eq(F_224(x, k_0, k_1), -F_225(x, 1, k_1) + (k_0*F_225(x, k_0, k_1) - F_225(x, 1, k_1))/(k_0 - 1))
Eq(F_225(x, k_0, k_1), F_226(x, k_0, k_1) + F_227(x, k_0, k_1) + F_228(x, k_0, k_1) + F_6(x))
Eq(F_226(x, k_0, k_1), F_173(x, k_0, k_1)*F_20(x))
Eq(F_227(x, k_0, k_1), F_20(x)*F_224(x, k_0, k_1))
Eq(F_228(x, k_0, k_1), F_229(x, k_0, k_1)*F_47(x, k_0))
Eq(F_229(x, k_0, k_1), F_174(x, k_0, k_1) + F_230(x, k_0, k_1) + F_237(x, k_0, k_1) + F_238(x, k_0, k_1) + F_76(x, k_1))
Eq(F_230(x, k_0, k_1), F_231(x, k_0, k_1))
Eq(F_231(x, k_0, k_1), F_20(x)*F_232(x, k_0, k_1))
Eq(F_232(x, k_0, k_1), F_233(x, k_0, k_1) + F_79(x, k_0, k_1))
Eq(F_233(x, k_0, k_1), F_234(x, k_0, k_1))
Eq(F_234(x, k_0, k_1), k_0*F_235(x, k_0, k_1))
Eq(F_235(x, k_0, k_1), F_236(x, k_0, k_1))
Eq(F_236(x, k_0, k_1), F_20(x)*F_213(x, k_0, k_1))
Eq(F_237(x, k_0, k_1), F_47(x, k_0)*F_75(x, k_0, k_1))
Eq(F_238(x, k_0, k_1), F_239(x, k_0, k_1)*F_47(x, k_0))
Eq(F_239(x, k_0, k_1), F_229(x, k_0, k_1) + F_240(x, k_0, k_1))
Eq(F_240(x, k_0, k_1), F_241(x, k_0, k_1))
Eq(F_229(x, k_0, k_1), F_241(x, k_0, k_1) + F_75(x, k_0, k_1))
Eq(F_242(x, k_0), F_20(x)*F_243(x, k_0))
Eq(F_243(x, k_0), F_244(x, 1, k_0))
Eq(F_244(x, k_0, k_1), (-k_0*F_245(x, k_0/k_1, k_1) + k_1*F_245(x, 1, k_1))/(-k_0 + k_1))
Eq(F_245(x, k_0, k_1), F_209(x, k_0*k_1, k_1))
Eq(F_246(x, k_0), F_247(x, 1, k_0))
Eq(F_247(x, k_0, k_1), F_248(x, k_0*k_1, k_1))
Eq(F_248(x, k_0, k_1), F_249(x, k_0, k_1)*F_47(x, k_0))
Eq(F_249(x, k_0, k_1), F_209(x, k_0, k_1) + F_250(x, k_0, k_1))
Eq(F_250(x, k_0, k_1), k_0*F_251(x, k_0, k_1))
Eq(F_251(x, k_0, k_1), F_252(x, k_0, k_1) + F_254(x, k_0, k_1) + F_255(x, k_0, k_1) + 3*F_6(x))
Eq(F_252(x, k_0, k_1), F_253(x, k_0, k_1))
Eq(F_253(x, k_0, k_1), F_20(x)*F_235(x, k_0, k_1))
Eq(F_254(x, k_0, k_1), F_20(x)*F_209(x, k_0, k_1))
Eq(F_255(x, k_0, k_1), F_256(x, k_0, k_1))
Eq(F_256(x, k_0, k_1), F_251(x, k_0, k_1)*F_47(x, k_0))
Eq(F_257(x, k_0), F_20(x)*F_258(x, k_0))
Eq(F_258(x, k_0), F_259(x, 1, k_0))
Eq(F_259(x, k_0, k_1), (-k_0*F_260(x, k_0/k_1, k_1) + k_1*F_260(x, 1, k_1))/(-k_0 + k_1))
Eq(F_260(x, k_0, k_1), F_90(x, k_0*k_1, k_1))
Eq(F_261(x, k_0), F_262(x, 1, k_0))
Eq(F_262(x, k_0, k_1), -F_263(x, 1, k_1) + (-k_0*F_263(x, k_0/k_1, k_1) + k_1*F_263(x, 1, k_1))/(-k_0 + k_1))
Eq(F_263(x, k_0, k_1), F_264(x, k_0*k_1, k_1))
Eq(F_264(x, k_0, k_1), F_265(x, k_0, k_1) + F_84(x, k_0, k_1))
Eq(F_265(x, k_0, k_1), F_266(x, k_0, k_1))
Eq(F_266(x, k_0, k_1), F_47(x, k_0)*F_97(x, k_0, k_1))
Eq(F_267(x, k_0), F_263(x, 1, k_0))
Eq(F_268(x, k_0), F_90(x, 1, k_0))
Eq(F_269(x, k_0), F_94(x, 1, k_0))
Eq(F_270(x, k_0), F_271(x, k_0))
Eq(F_271(x, k_0), F_20(x)*F_272(x, k_0))
Eq(F_272(x, k_0), F_273(x, k_0))
Eq(F_273(x, k_0), F_20(x)*F_274(x, k_0))
Eq(F_274(x, k_0), F_275(x, k_0) + F_276(x, k_0))
Eq(F_275(x, k_0), F_105(x)*F_43(x, k_0))
Eq(F_276(x, k_0), F_277(x, k_0)*F_4(x))
Eq(F_277(x, k_0), F_278(x, k_0))
Eq(F_278(x, k_0), F_199(x, k_0)*F_20(x)*F_54(x, k_0))
Eq(F_279(x, k_0), F_280(x, k_0))
Eq(F_280(x, k_0), F_20(x)*F_281(x, k_0))
Eq(F_281(x, k_0), F_282(x, k_0))
Eq(F_282(x, k_0), F_110(x)*F_20(x)*F_43(x, k_0))
Eq(F_283(x, k_0, k_1), F_20(x)*F_23(x, k_0, k_1))
Eq(F_284(x, k_0, k_1), F_285(x, k_0, k_1))
Eq(F_285(x, k_0, k_1), F_33(x, k_0, k_1)*F_47(x, k_0))
Eq(F_286(x, k_0, k_1), F_287(x, k_1))
Eq(F_287(x, k_0), F_288(x, k_0)*F_47(x, k_0))
Eq(F_288(x, k_0), F_289(x, k_0) + F_290(x, k_0) + F_312(x, k_0) + 2*F_6(x))
Eq(F_289(x, k_0), F_20(x)*F_36(x, k_0))
Eq(F_290(x, k_0), F_291(x, 1, k_0))
Eq(F_291(x, k_0, k_1), F_292(x, k_1)*F_47(x, k_0))
Eq(F_292(x, k_0), F_293(x, k_0) + F_44(x, k_0))
Eq(F_293(x, k_0), F_294(x, k_0))
Eq(F_294(x, k_0), F_20(x)*F_295(x, k_0))
Eq(F_295(x, k_0), F_14(x, k_0) + F_296(x, k_0))
Eq(F_296(x, k_0), F_297(x, k_0))
Eq(F_297(x, k_0), F_298(x, k_0)*F_47(x, k_0))
Eq(F_298(x, k_0), F_295(x, k_0) + F_299(x, k_0) + F_301(x, k_0))
Eq(F_299(x, k_0), F_300(x, k_0))
Eq(F_300(x, k_0), F_20(x)*F_274(x, k_0))
Eq(F_301(x, k_0), F_302(x, k_0))
Eq(F_302(x, k_0), F_20(x)*F_303(x, k_0))
Eq(F_303(x, k_0), F_304(x, k_0) + F_311(x, k_0))
Eq(F_304(x, k_0), F_116(x)*F_305(x, k_0))
Eq(F_305(x, k_0), F_306(x, 1, k_0))
Eq(F_306(x, k_0, k_1), F_307(x, k_0*k_1, k_1))
Eq(F_307(x, k_0, k_1), F_292(x, k_1) + F_308(x, k_0, k_1) + F_310(x, k_0, k_1))
Eq(F_308(x, k_0, k_1), F_20(x)*F_309(x, k_0, k_1))
Eq(F_309(x, k_0, k_1), F_13(x, k_0, k_1) + F_39(x, k_1))
Eq(F_310(x, k_0, k_1), F_307(x, k_0, k_1)*F_47(x, k_0))
Eq(F_311(x, k_0), F_117(x)*F_43(x, k_0))
Eq(F_312(x, k_0), F_287(x, k_0))
Eq(F_313(x, k_0, k_1), F_314(x, k_0, k_1)*F_47(x, k_1))
Eq(F_314(x, k_0, k_1), F_315(x, k_1) + F_318(x, k_0, k_1))
Eq(F_315(x, k_0), F_292(x, k_0) + F_316(x, k_0))
Eq(F_316(x, k_0), F_317(x, k_0))
Eq(F_317(x, k_0), k_0*F_41(x, k_0))
Eq(F_318(x, k_0, k_1), F_319(x, k_0, k_1))
Eq(F_319(x, k_0, k_1), k_0*F_288(x, k_1))
Eq(F_320(x, k_0), F_321(x, k_0)*F_47(x, k_0))
Eq(F_321(x, k_0), F_293(x, k_0) + F_322(x, k_0))
Eq(F_322(x, k_0), k_0*F_50(x, k_0))
Eq(F_323(x, k_0), F_324(x, k_0))
Eq(F_324(x, k_0), F_325(x, k_0)*F_47(x, k_0))
Eq(F_325(x, k_0), F_298(x, k_0) + F_326(x, k_0))
Eq(F_326(x, k_0), F_327(x, k_0))
Eq(F_327(x, k_0), F_199(x, k_0)*F_328(x, k_0))
Eq(F_328(x, k_0), k_0*F_52(x, k_0))
Eq(F_329(x), F_20(x)*F_330(x))
Eq(F_330(x), F_331(x, 1))
Eq(F_331(x, k_0), F_44(x, k_0) + F_71(x, k_0))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": 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, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]], "symmetry": true}, {"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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 4, 0, 3, 2]]}], "iterative": false}
Specification JSON:
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