01342_01423_01432_02341_02413_02431_03412_03421_12403_13402
Counting sequence:
1, 1, 2, 6, 24, 110, 542, 2792, 14840, 80782, 448156, 2524950, 14409270, 83122090, 483932882, 2839858430, 16780503168, 99757213054, 596226757684, 3580571968988, 21594954672346, 130745838341346, 794367758643546, 4841691601481010, 29596174668209752, 181398135900629818, 1114543513639087774, 6863519649053741056, 42355518032395407618, 261891667920766240862, 1622272740203179355424, 10066170009116280391692, 62559831568245621612362, 389381144641336668828616, 2426963745907337546266376, 15146946499224756636712786, 94651556957687392189306568, 592163227119977565043900828, 3708844698546552091818236024, 23253808879517143665736533850, 145943385280605346961023225292, 916828221209425623102233907132, 5764806270979841379228675226180, 36279059540886939340032132859720, 228499128123007893573573124360884, 1440303907407790965323347010288732, 9085518313013353237896673643280292, 57353133031654831021540114229851518, 362295754166760212847767475833737900, 2290106137635631278589582751627992386, 14485137147287861808625289955105634972, 91675504313522796854798563101281936596, 580547020964697731763113932527912051760, 3678452769209177371290055068373589934874, 23319943724057956712781169778116756362716, 147916182530958353996750755213524198521438, 938688672482612617396162390974503646183944, 5959878605164694753826381894223420141577140, 37857842522228049092181593850182789769790808, 240585780424338999193423866392098766149433722, 1529583146337752050287454858588167597616041388, 9728793476865734842818030001835921336730979104, 61904421184343861122565867812340149967887696544, 394053740939798159212039978891911947660286846746, 2509313557490149854244234599074137964807759569088, 15985084664655710286112538259627557474729765344384, 101866305311575617868545909249508650222894130875634, 649377256110976443357336244853354515355512487355306, 4141045550102834226505368380306062908084850060253708, 26415878778818707322722477182120207441830744583945920, 168561401163480898667997716206424019080687726557221982, 1075933141578824898174287495357150847597406160875577294, 6869778814388242486850742350875565759768908853126205058, 43875990197756111507815837796974699170944659693262794326, 280307264286257737592413367467861515287861626102487168936, 1791272666058411574618495946690470757758473998976855900758, 11450007722477436845060633957784386941329017417568142652498, 73208841010575063817517752424977158794624937638234837870394, 468200647416660950436477765356734787796187821724102013085326, 2995079697370668339977171625205620403006873102005197778104124, 19164166130767078930336555817145981518426615617508087041497856, 122651826175557659098263212143071073506721261583170467566517698, 785159939816865981258915802908767478441842044476235261142542558, 5027358273345050328035182470956207323549127563798557156207195316, 32197101937938703382400135459272320999846205945118208457046687166, 206246558296506073592042555941145689714060235725684111378991984966, 1321439961547511655642362507261692406500580219723409113072603329808, 8468312073723355875355069370942435493186496569067059721232430455686, 54279136529551863899103435606788809952413636707957230485160327863178, 347979531790619230134747440114652452361515355064239649526792377438160, 2231296390009197917053293085037579011464562270628002508098372028405186, 14310070874608850109923494203605241996799085348028828610303633156355362, 91792138946571327916222316115445142583751975613815373157971507049687720, 588906924493472904345510508318780729923668137673930740792020204785681664, 3778884649759140266019044305038979403883433975535703369980012988345472762, 24252404543694009518040888100652539092111053038745967056924558380452881570, 155674904527808124293154630578439451833901844013105480805779563051150787254, 999432660697529046280363765522881557640549045491688326114223208551073441036, 6417385513821070548997216024919986424940740263652769458583028710685807432312, 41212690240497693946559516773115061188416712632681351075725985110504315940404, 264710194914767892082469787507975501081064247495717207451736034942489871207098
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25365/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x,1]
F[7,x,k[0]] = F[51,x,k[0]]+F[8,x,k[0]]
F[8,x,k[0]] = F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]*F[14,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]+F[19,x,k[0]]
F[11,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0]] = F[11,x,k[0]]+F[16,x,k[0]]
F[16,x,k[0]] = F[14,x,k[0]]+F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]
F[18,x,k[0]] = F[12,x,k[0]]*F[14,x,k[0]]
F[19,x,k[0]] = F[20,x,k[0]]+F[34,x,k[0]]
F[20,x,k[0]] = F[21,x,k[0]]
F[21,x,k[0]] = F[14,x,k[0]]*F[22,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]+F[24,x,k[0]]
F[23,x,k[0]] = F[1,x]+F[14,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]+F[28,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]
F[26,x,k[0]] = F[14,x,k[0]]*F[27,x,k[0]]
F[27,x,k[0]] = F[1,x]+F[25,x,k[0]]
F[28,x,k[0]] = k[0]*F[29,x,k[0]]
F[29,x,k[0]] = F[30,x]+F[31,x,k[0]]+F[33,x,k[0]]
F[30,x] = 0
F[31,x,k[0]] = F[14,x,k[0]]*F[32,x,k[0]]
F[32,x,k[0]] = F[29,x,k[0]]+F[4,x]
F[33,x,k[0]] = F[25,x,k[0]]*F[4,x]
F[34,x,k[0]] = F[30,x]+F[35,x,k[0]]+F[43,x,k[0]]
F[35,x,k[0]] = F[14,x,k[0]]*F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]+F[39,x,k[0]]
F[37,x,k[0]] = F[12,x,k[0]]+F[38,x,k[0]]
F[38,x,k[0]] = F[18,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]+F[47,x,k[0]]
F[40,x,k[0]] = F[30,x]+F[41,x,k[0]]+F[43,x,k[0]]
F[41,x,k[0]] = F[14,x,k[0]]*F[42,x,k[0]]
F[42,x,k[0]] = F[12,x,k[0]]+F[40,x,k[0]]
F[43,x,k[0]] = F[14,x,k[0]]*F[44,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]+F[46,x,k[0]]
F[45,x,k[0]] = F[25,x,k[0]]+F[40,x,k[0]]
F[46,x,k[0]] = F[28,x,k[0]]+F[47,x,k[0]]
F[47,x,k[0]] = 2*F[30,x]+F[48,x,k[0]]+F[50,x,k[0]]
F[48,x,k[0]] = F[14,x,k[0]]*F[49,x,k[0]]
F[49,x,k[0]] = F[38,x,k[0]]+F[47,x,k[0]]
F[50,x,k[0]] = F[14,x,k[0]]*F[40,x,k[0]]
F[51,x,k[0]] = F[52,x,k[0]]
F[52,x,k[0]] = F[4,x]*F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]+F[55,x,k[0]]
F[54,x,k[0]] = -k[0]*(F[7,x,1]-F[7,x,k[0]])/(-1+k[0])
F[55,x,k[0]] = F[56,x,k[0]]
F[56,x,k[0]] = F[14,x,k[0]]*F[57,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0],1]
F[58,x,k[0],k[1]] = F[59,x,k[0],k[0]*k[1]]
F[59,x,k[0],k[1]] = F[424,x,k[0],k[1]]+F[60,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[413,x,k[0],k[1]]+F[61,x,k[0],k[1]]
F[61,x,k[0],k[1]] = F[281,x,k[0],k[1]]+F[62,x,k[1]]
F[62,x,k[0]] = F[5,x]+F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[14,x,k[0]]*F[65,x,k[0]]
F[65,x,k[0]] = F[411,x,k[0]]+F[66,x,k[0]]
F[66,x,k[0]] = F[67,x,1,k[0]]
F[68,x,k[0],k[1]] = F[158,x,k[0],k[1]]+F[67,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[14,x,k[0]]*F[68,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[70,x,k[0],k[1]]
F[71,x,k[0],k[1]] = F[152,x,k[1]]+F[70,x,k[0],k[1]]
F[71,x,k[0],k[1]] = F[150,x,k[0],k[1]]+F[72,x,k[0],k[1]]
F[72,x,k[0],k[1]] = F[73,x,k[0]]+F[74,x,k[0],k[1]]
F[73,x,k[0]] = F[1,x]+F[8,x,k[0]]
F[75,x,k[0],k[1]] = F[140,x,k[0],k[1]]+F[74,x,k[0],k[1]]
F[75,x,k[0],k[1]] = F[76,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[11,x,k[1]]*F[14,x,k[1]]*F[77,x,k[0],k[1]]
F[77,x,k[0],k[1]] = F[78,x,k[0],k[1]]+F[96,x,k[0]]
F[78,x,k[0],k[1]] = F[23,x,k[1]]*F[79,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]+F[88,x,k[0]]
F[80,x,k[0]] = F[81,x,k[0]]+F[82,x,k[0]]
F[81,x,k[0]] = F[0,x]*F[23,x,k[0]]
F[82,x,k[0]] = F[83,x]*F[86,x,k[0]]
F[83,x] = F[1,x]+F[84,x]
F[84,x] = F[85,x]
F[85,x] = F[4,x]*F[83,x]
F[86,x,k[0]] = F[87,x,k[0]]
F[87,x,k[0]] = F[14,x,k[0]]*F[25,x,k[0]]
F[88,x,k[0]] = F[83,x]*F[89,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]
F[90,x,k[0]] = F[14,x,k[0]]*F[91,x,k[0]]
F[91,x,k[0]] = F[12,x,k[0]]+F[92,x,k[0]]
F[92,x,k[0]] = F[34,x,k[0]]+F[93,x,k[0]]
F[93,x,k[0]] = F[94,x,k[0]]
F[94,x,k[0]] = F[14,x,k[0]]*F[95,x,k[0]]
F[95,x,k[0]] = F[14,x,k[0]]+F[28,x,k[0]]
F[96,x,k[0]] = F[83,x]*F[97,x,k[0]]
F[97,x,k[0]] = F[14,x,k[0]]+F[98,x,k[0]]
F[98,x,k[0]] = F[30,x]+F[87,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]*F[14,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]+F[112,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]+F[14,x,k[0]]
F[102,x,k[0]] = k[0]*F[103,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]*F[14,x,k[0]]
F[105,x,k[0]] = F[106,x,k[0]]+F[107,x,k[0]]
F[106,x,k[0]] = F[103,x,k[0]]+F[4,x]
F[107,x,k[0]] = F[108,x,k[0]]+F[110,x,k[0]]
F[108,x,k[0]] = F[109,x,k[0]]
F[109,x,k[0]] = k[0]*x^2
F[110,x,k[0]] = F[111,x,k[0]]
F[111,x,k[0]] = F[103,x,k[0]]*F[14,x,k[0]]
F[112,x,k[0]] = F[113,x,k[0]]+F[123,x,k[0]]
F[113,x,k[0]] = k[0]*F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]+F[30,x]+F[33,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]*F[14,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]+F[118,x,k[0]]
F[117,x,k[0]] = F[108,x,k[0]]+F[4,x]
F[118,x,k[0]] = F[119,x,k[0]]+F[29,x,k[0]]
F[119,x,k[0]] = 2*F[30,x]+F[120,x,k[0]]+F[122,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]*F[14,x,k[0]]
F[121,x,k[0]] = F[108,x,k[0]]+F[119,x,k[0]]
F[122,x,k[0]] = F[14,x,k[0]]*F[29,x,k[0]]
F[123,x,k[0]] = k[0]*F[124,x,k[0]]
F[124,x,k[0]] = 2*F[30,x]+F[125,x,k[0]]+F[132,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]*F[14,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0]]+F[128,x,k[0]]
F[127,x,k[0]] = F[103,x,k[0]]+F[110,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]+F[136,x,k[0]]
F[129,x,k[0]] = 2*F[30,x]+F[130,x,k[0]]+F[132,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]*F[14,x,k[0]]
F[131,x,k[0]] = F[103,x,k[0]]+F[129,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]*F[14,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]+F[135,x,k[0]]
F[134,x,k[0]] = F[129,x,k[0]]+F[29,x,k[0]]
F[135,x,k[0]] = F[119,x,k[0]]+F[136,x,k[0]]
F[136,x,k[0]] = 3*F[30,x]+F[137,x,k[0]]+F[139,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]*F[14,x,k[0]]
F[138,x,k[0]] = F[110,x,k[0]]+F[136,x,k[0]]
F[139,x,k[0]] = F[129,x,k[0]]*F[14,x,k[0]]
F[140,x,k[0],k[1]] = F[141,x,k[0],k[1]]
F[141,x,k[0],k[1]] = F[11,x,k[1]]*F[14,x,k[1]]*F[142,x,k[0],k[1]]
F[142,x,k[0],k[1]] = F[143,x,k[0],k[1]]+F[149,x,k[0]]
F[143,x,k[0],k[1]] = F[144,x,k[0]]*F[23,x,k[1]]
F[144,x,k[0]] = F[145,x,k[0]]+F[148,x,k[0]]
F[145,x,k[0]] = F[146,x,k[0]]+F[147,x,k[0]]
F[146,x,k[0]] = F[2,x]*F[23,x,k[0]]
F[147,x,k[0]] = F[84,x]*F[86,x,k[0]]
F[148,x,k[0]] = F[84,x]*F[89,x,k[0]]
F[149,x,k[0]] = F[84,x]*F[97,x,k[0]]
F[150,x,k[0],k[1]] = F[151,x,k[0],k[1]]
F[151,x,k[0],k[1]] = F[4,x]*F[59,x,k[0],k[1]]
F[152,x,k[0]] = F[11,x,k[0]]+F[153,x,k[0]]
F[153,x,k[0]] = F[154,x,k[0]]+F[2,x]
F[154,x,k[0]] = F[155,x,k[0]]
F[155,x,k[0]] = F[156,x,k[0]]*F[4,x]
F[156,x,k[0]] = F[157,x,k[0]]+F[63,x,k[0]]
F[157,x,k[0]] = F[12,x,k[0]]*F[62,x,k[0]]
F[158,x,k[0],k[1]] = F[14,x,k[1]]*F[159,x,k[0],k[1]]
F[159,x,k[0],k[1]] = F[160,x,k[0],k[1]]+F[162,x,k[0],k[1]]
F[160,x,k[0],k[1]] = F[11,x,k[1]]*F[161,x,k[0]]
F[161,x,k[0]] = F[0,x]+F[7,x,k[0]]
F[162,x,k[0],k[1]] = F[163,x,k[1]]+F[409,x,k[0],k[1]]
F[164,x,k[0]] = F[163,x,k[0]]+F[408,x,k[0]]
F[164,x,k[0]] = F[153,x,k[0]]+F[165,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[166,x,k[0]] = F[167,x,k[0]]*F[4,x]
F[167,x,k[0]] = F[168,x,1,k[0]]
F[168,x,k[0],k[1]] = F[159,x,k[0],k[1]]+F[169,x,k[1]]
F[169,x,k[0]] = F[170,x,k[0]]+F[225,x,k[0]]
F[170,x,k[0]] = F[171,x,1,k[0]]
F[171,x,k[0],k[1]] = F[172,x,k[1]]*F[27,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]
F[173,x,k[0]] = F[11,x,k[0]]*F[174,x,k[0]]*F[4,x]
F[174,x,k[0]] = F[175,x,k[0]]+F[182,x,k[0]]
F[175,x,k[0]] = F[176,x,k[0]]+F[177,x]
F[176,x,k[0]] = F[23,x,k[0]]*F[83,x]
F[177,x] = F[178,x]
F[178,x] = F[179,x]*F[4,x]
F[179,x] = F[180,x]+F[4,x]
F[180,x] = F[178,x]+F[181,x]+F[30,x]
F[181,x] = F[4,x]*F[84,x]
F[182,x,k[0]] = F[183,x]+F[194,x,k[0]]
F[183,x] = F[184,x,1]
F[184,x,k[0]] = F[185,x,k[0]]
F[185,x,k[0]] = F[14,x,k[0]]*F[186,x]*F[189,x,k[0]]
F[186,x] = F[187,x]+F[188,x]
F[187,x] = F[1,x]+F[4,x]
F[188,x] = F[180,x]+F[84,x]
F[189,x,k[0]] = F[190,x,k[0]]+F[73,x,k[0]]
F[190,x,k[0]] = F[191,x,k[0]]
F[191,x,k[0]] = F[14,x,k[0]]*F[192,x,k[0]]*F[27,x,k[0]]
F[192,x,k[0]] = F[193,x,k[0]]+F[8,x,k[0]]
F[193,x,k[0]] = F[27,x,k[0]]*F[73,x,k[0]]
F[194,x,k[0]] = F[195,x,k[0]]
F[195,x,k[0]] = F[14,x,k[0]]*F[196,x]*F[83,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[4,x]
F[198,x] = F[199,x]+F[206,x]
F[199,x] = F[1,x]+F[200,x]
F[200,x] = F[201,x]
F[201,x] = F[202,x]*F[4,x]
F[202,x] = F[199,x]+F[203,x]
F[203,x] = F[204,x]+F[4,x]
F[204,x] = F[205,x]
F[205,x] = F[200,x]*F[4,x]
F[206,x] = F[207,x]+F[209,x]
F[207,x] = F[208,x]
F[208,x] = F[186,x]*F[4,x]
F[209,x] = F[210,x]+F[217,x]+F[30,x]
F[210,x] = F[211,x]*F[4,x]
F[211,x] = F[212,x]+F[213,x]
F[212,x] = F[200,x]+F[204,x]
F[213,x] = F[214,x]+F[221,x]
F[214,x] = F[215,x]+F[217,x]+F[30,x]
F[215,x] = F[216,x]*F[4,x]
F[216,x] = F[200,x]+F[214,x]
F[217,x] = F[218,x]*F[4,x]
F[218,x] = F[219,x]+F[220,x]
F[219,x] = F[214,x]+F[84,x]
F[220,x] = F[180,x]+F[221,x]
F[221,x] = 2*F[30,x]+F[222,x]+F[224,x]
F[222,x] = F[223,x]*F[4,x]
F[223,x] = F[204,x]+F[221,x]
F[224,x] = F[214,x]*F[4,x]
F[226,x,k[0]] = 1/(-1+k[0])*(F[225,x,k[0]]*k[0]-F[225,x,1])
F[227,x,k[0]] = F[226,x,k[0]]+F[406,x,k[0]]
F[228,x,k[0]] = F[227,x,k[0]]+F[273,x,k[0]]
F[229,x,k[0]] = F[228,x,k[0]]+F[252,x,k[0]]
F[230,x,k[0]] = F[229,x,k[0]]*F[4,x]
F[230,x,k[0]] = F[231,x,k[0]]
F[232,x,k[0]] = F[231,x,k[0]]+F[243,x,k[0]]
F[233,x,k[0]] = F[232,x,k[0]]+F[240,x,k[0]]
F[234,x,k[0]] = 1/(-1+k[0])*(F[233,x,k[0]]*k[0]-F[233,x,1])
F[235,x,k[0]] = F[234,x,k[0]]+F[238,x,k[0]]
F[236,x,k[0]] = F[235,x,k[0]]*F[4,x]
F[236,x,k[0]] = F[237,x,k[0]]
F[237,x,k[0]] = F[70,x,1,k[0]]
F[238,x,k[0]] = F[14,x,k[0]]*F[239,x,k[0]]
F[239,x,k[0]] = F[152,x,k[0]]+F[165,x,k[0]]
F[240,x,k[0]] = F[152,x,k[0]]+F[241,x,k[0]]
F[241,x,k[0]] = F[242,x,k[0]]
F[242,x,k[0]] = F[4,x]*F[66,x,k[0]]
F[243,x,k[0]] = F[172,x,k[0]]+F[244,x,k[0]]
F[244,x,k[0]] = F[245,x,k[0]]
F[245,x,k[0]] = F[246,x,k[0]]*F[4,x]
F[246,x,k[0]] = F[243,x,k[0]]+F[247,x,k[0]]
F[247,x,k[0]] = F[248,x,k[0]]
F[248,x,k[0]] = F[11,x,k[0]]*F[249,x]*F[4,x]
F[249,x] = -F[0,x]+F[250,x]
F[250,x] = 1/F[4,x]*F[251,x]
F[251,x] = F[2,x]
F[252,x,k[0]] = F[14,x,k[0]]*F[253,x,k[0]]
F[253,x,k[0]] = F[254,x,k[0]]+F[256,x,k[0]]
F[254,x,k[0]] = F[255,x,k[0]]
F[255,x,k[0]] = F[153,x,k[0]]*F[83,x]
F[256,x,k[0]] = F[257,x,1,k[0]]
F[258,x,k[0],k[1]] = F[257,x,k[0],k[1]]+F[271,x,k[0],k[1]]
F[258,x,k[0],k[1]] = F[239,x,k[1]]+F[259,x,k[0],k[1]]
F[259,x,k[0],k[1]] = F[260,x,k[0],k[1]]
F[260,x,k[0],k[1]] = F[14,x,k[0]]*F[261,x,k[0],k[1]]
F[261,x,k[0],k[1]] = F[262,x,k[1]]+F[263,x,k[0],k[1]]
F[262,x,k[0]] = F[159,x,1,k[0]]
F[263,x,k[0],k[1]] = F[264,x,k[0],k[1]]
F[264,x,k[0],k[1]] = F[14,x,k[0]]*F[265,x,k[0],k[1]]
F[265,x,k[0],k[1]] = F[266,x,k[0],1,k[1]]
F[266,x,k[0],k[1],k[2]] = 1/(-1+k[1])*(F[267,x,k[0],k[1],k[2]]*k[1]-F[267,x,k[0],1,k[2]])
F[267,x,k[0],k[1],k[2]] = F[159,x,k[1],k[2]]+F[268,x,k[0],k[1],k[2]]
F[268,x,k[0],k[1],k[2]] = F[269,x,k[0],k[1],k[2]]
F[269,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[270,x,k[0],k[1],k[2]]
F[270,x,k[0],k[1],k[2]] = 1/(-1+k[1])*(F[267,x,k[0],k[1],k[2]]*k[1]-F[267,x,k[0],1,k[2]])
F[271,x,k[0],k[1]] = F[272,x,k[0],k[1]]
F[272,x,k[0],k[1]] = F[152,x,k[1]]*F[27,x,k[0]]
F[273,x,k[0]] = F[274,x,1,k[0]]
F[274,x,k[0],k[1]] = F[275,x,k[0],k[1]]
F[275,x,k[0],k[1]] = F[276,x,k[0],k[1]]*F[4,x]
F[277,x,k[0],k[1]] = F[276,x,k[1],k[0]]+F[401,x,k[0]]
F[278,x,k[0],k[1]] = F[14,x,k[1]]*F[277,x,k[0],k[1]]
F[278,x,k[0],k[1]] = F[279,x,k[1],k[0]]
F[279,x,k[0],k[1]] = F[280,x,k[0],k[1]]+F[398,x,k[0],k[1]]
F[280,x,k[0],k[1]] = F[281,x,k[0],k[1]]+F[288,x,k[0],k[1]]
F[281,x,k[0],k[1]] = F[282,x,k[0],k[1]]
F[282,x,k[0],k[1]] = F[14,x,k[0]]*F[283,x,k[0],k[1]]
F[283,x,k[0],k[1]] = F[284,x,k[0],k[1]]+F[285,x,k[0],k[1]]
F[284,x,k[0],k[1]] = 1/(-1+k[0])*(F[67,x,k[0],k[1]]*k[0]-F[67,x,1,k[1]])
F[285,x,k[0],k[1]] = F[286,x,k[0],k[1]]
F[286,x,k[0],k[1]] = F[14,x,k[1]]*F[287,x,k[0],k[1]]
F[287,x,k[0],k[1]] = 1/(-1+k[0])*(F[168,x,k[0],k[1]]*k[0]-F[168,x,1,k[1]])
F[288,x,k[0],k[1]] = F[289,x,k[0],k[1]]
F[289,x,k[0],k[1]] = F[290,x,k[0],k[1]]*F[4,x]
F[290,x,k[0],k[1]] = -k[0]*(F[291,x,1,k[1]]-F[291,x,k[0],k[1]])/(-1+k[0])
F[291,x,k[0],k[1]] = k[0]*(F[292,x,k[0]]-F[292,x,k[1]])/(-k[1]+k[0])
F[292,x,k[0]] = F[293,x,k[0]]+F[397,x,k[0]]
F[293,x,k[0]] = F[294,x,k[0]]+F[295,x,k[0]]
F[294,x,k[0]] = F[12,x,k[0]]*F[83,x]
F[295,x,k[0]] = F[296,x,k[0]]
F[296,x,k[0]] = F[297,x,k[0]]*F[4,x]*F[83,x]
F[297,x,k[0]] = F[298,x,k[0]]+F[303,x,k[0]]
F[299,x,k[0]] = F[298,x,k[0]]+F[312,x]
F[300,x,k[0]] = F[299,x,k[0]]+F[303,x,k[0]]
F[301,x,k[0]] = F[300,x,k[0]]*F[4,x]*F[5,x]
F[301,x,k[0]] = F[302,x,k[0]]
F[302,x,k[0]] = F[162,x,1,k[0]]
F[303,x,k[0]] = F[304,x,k[0]]+F[308,x,k[0]]
F[305,x,k[0]] = F[304,x,k[0]]+F[307,x,k[0]]
F[306,x,k[0]] = F[305,x,k[0]]*F[4,x]
F[306,x,k[0]] = F[154,x,k[0]]
F[240,x,k[0]] = F[250,x]+F[307,x,k[0]]
F[308,x,k[0]] = F[309,x,1,k[0]]
F[309,x,k[0],k[1]] = k[1]*F[310,x,k[0],k[1]]
F[310,x,k[0],k[1]] = F[311,x,k[0],k[1]]
F[311,x,k[0],k[1]] = F[259,x,k[0],k[1]]*F[4,x]
F[312,x] = F[313,x]+F[387,x]
F[313,x] = F[0,x]+F[314,x]
F[314,x] = F[315,x]
F[315,x] = F[316,x]*F[4,x]
F[316,x] = F[313,x]+F[317,x]
F[317,x] = F[318,x]
F[318,x] = F[319,x]*F[4,x]
F[319,x] = F[320,x]+F[321,x]
F[320,x] = F[299,x,1]
F[321,x] = F[322,x,1]
F[323,x,k[0]] = F[322,x,k[0]]+F[370,x,k[0]]
F[324,x,k[0]] = F[14,x,k[0]]*F[323,x,k[0]]
F[324,x,k[0]] = F[325,x,k[0]]
F[325,x,k[0]] = F[326,x,k[0]]+F[330,x,k[0]]
F[326,x,k[0]] = F[327,x,k[0]]+F[7,x,k[0]]
F[327,x,k[0]] = F[328,x,k[0]]
F[328,x,k[0]] = F[329,x,k[0]]*F[4,x]
F[329,x,k[0]] = -k[0]*(F[325,x,1]-F[325,x,k[0]])/(-1+k[0])
F[330,x,k[0]] = k[0]*F[331,x]
F[331,x] = F[332,x]
F[332,x] = F[4,x]^2*F[333,x]
F[333,x] = F[334,x]+F[368,x]
F[334,x] = F[335,x]+F[340,x]
F[335,x] = F[336,x]+F[5,x]
F[336,x] = -F[340,x]+F[337,x]
F[337,x] = 1/F[4,x]*F[338,x]
F[338,x] = F[339,x]
F[339,x] = -F[2,x]+F[249,x]
F[340,x] = F[341,x]+F[342,x]
F[341,x] = F[326,x,1]
F[342,x] = F[343,x]
F[343,x] = F[344,x]*F[4,x]
F[344,x] = F[345,x]+F[367,x]
F[345,x] = F[346,x]
F[346,x] = F[347,x,1]
F[347,x,k[0]] = F[348,x,k[0]]
F[348,x,k[0]] = F[349,x,k[0]]*F[4,x]
F[349,x,k[0]] = F[350,x,k[0]]+F[365,x,k[0]]
F[350,x,k[0]] = F[351,x]+F[361,x,k[0]]
F[351,x] = F[352,x,1]
F[352,x,k[0]] = F[161,x,k[0]]+F[353,x,k[0]]
F[353,x,k[0]] = F[354,x,k[0]]
F[354,x,k[0]] = F[355,x,k[0]]*F[4,x]
F[355,x,k[0]] = F[356,x,1,k[0]]
F[356,x,k[0],k[1]] = F[352,x,k[1]]+F[357,x,k[0],k[1]]
F[357,x,k[0],k[1]] = F[358,x,k[0],k[1]]
F[358,x,k[0],k[1]] = F[359,x,k[0]]*F[360,x,k[0],k[1]]
F[359,x,k[0]] = k[0]*x
F[360,x,k[0],k[1]] = 1/(-1+k[1])*(F[356,x,k[0],k[1]]*k[1]-F[356,x,k[0],1])
F[361,x,k[0]] = F[362,x,k[0]]
F[362,x,k[0]] = F[359,x,k[0]]*F[363,x,k[0]]
F[363,x,k[0]] = F[364,x,k[0],1]
F[364,x,k[0],k[1]] = 1/(-1+k[1])*(F[356,x,k[0],k[1]]*k[1]-F[356,x,k[0],1])
F[365,x,k[0]] = F[366,x,k[0]]
F[366,x,k[0]] = F[312,x]*F[350,x,k[0]]*F[4,x]
F[367,x] = F[333,x]*F[4,x]
F[368,x] = F[369,x]
F[369,x] = F[312,x]*F[334,x]*F[4,x]
F[370,x,k[0]] = F[371,x,k[0]]+F[385,x]
F[371,x,k[0]] = F[298,x,k[0]]+F[372,x]
F[372,x] = F[250,x]+F[373,x]
F[373,x] = -F[376,x]+F[374,x]
F[374,x] = 1/F[4,x]*F[375,x]
F[375,x] = F[339,x]
F[376,x] = F[377,x]
F[377,x] = F[378,x]*F[4,x]
F[378,x] = F[379,x]+F[381,x]
F[379,x] = 1/F[4,x]*F[380,x]
F[380,x] = F[336,x]
F[381,x] = F[382,x]
F[382,x] = F[383,x,1]
F[383,x,k[0]] = F[384,x,k[0]]
F[384,x,k[0]] = F[14,x,k[0]]*F[349,x,k[0]]
F[385,x] = F[386,x]
F[386,x] = F[333,x]*F[4,x]
F[387,x] = F[388,x]
F[388,x] = F[249,x]+F[389,x]
F[389,x] = -F[390,x]+F[373,x]
F[390,x] = F[391,x]
F[391,x] = F[392,x]*F[4,x]
F[392,x] = F[317,x]+F[393,x]
F[393,x] = F[394,x]+F[395,x]
F[394,x] = F[0,x]+F[390,x]
F[395,x] = F[396,x]
F[396,x] = F[333,x]*F[4,x]
F[169,x,k[0]] = F[317,x]+F[397,x,k[0]]
F[398,x,k[0],k[1]] = F[399,x,k[0],k[1]]
F[399,x,k[0],k[1]] = F[4,x]*F[400,x,k[0],k[1]]
F[400,x,k[0],k[1]] = -k[0]*(F[279,x,1,k[1]]-F[279,x,k[0],k[1]])/(-1+k[0])
F[401,x,k[0]] = F[402,x,k[0]]
F[402,x,k[0]] = F[14,x,k[0]]*F[403,x,k[0]]
F[403,x,k[0]] = F[404,x,1,k[0]]
F[405,x,k[0],k[1]] = F[4,x]*F[404,x,k[0],k[1]]
F[405,x,k[0],k[1]] = F[257,x,k[0],k[1]]
F[406,x,k[0]] = F[163,x,k[0]]+F[407,x,k[0]]
F[407,x,k[0]] = (F[295,x,k[0]]-F[295,x,1])/(-1+k[0])
F[408,x,k[0]] = F[11,x,k[0]]*F[2,x]
F[409,x,k[0],k[1]] = F[410,x,k[0],k[1]]
F[410,x,k[0],k[1]] = F[300,x,k[1]]*F[4,x]*F[7,x,k[0]]
F[411,x,k[0]] = F[412,x,k[0]]
F[412,x,k[0]] = F[14,x,k[0]]*F[167,x,k[0]]
F[413,x,k[0],k[1]] = F[414,x,k[0],k[1]]
F[414,x,k[0],k[1]] = F[14,x,k[0]]*F[415,x,k[0],k[1]]
F[415,x,k[0],k[1]] = (F[416,x,k[0],1]*k[0]-F[416,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[416,x,k[0],k[1]] = F[417,x,k[0],k[0]*k[1]]
F[417,x,k[0],k[1]] = F[418,x,k[0],k[1]]+F[60,x,k[0],k[1]]
F[418,x,k[0],k[1]] = F[419,x,k[0],k[1]]
F[419,x,k[0],k[1]] = F[420,x,k[0]]*F[62,x,k[1]]
F[420,x,k[0]] = F[421,x,k[0]]+F[8,x,k[0]]
F[421,x,k[0]] = F[30,x]+F[422,x,k[0]]+F[99,x,k[0]]
F[422,x,k[0]] = F[14,x,k[0]]*F[423,x,k[0]]
F[423,x,k[0]] = F[25,x,k[0]]
F[424,x,k[0],k[1]] = F[62,x,k[1]]*F[74,x,k[0],k[1]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x , 1\right)
F_{7}\! \left(x , y_{0}\right) = F_{51}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right)+F_{19}\! \left(x , y_{0}\right)
F_{11}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y_{0}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{15}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = y_{0} x
F_{15}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right)+F_{16}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right)+F_{17}\! \left(x , y_{0}\right)
F_{17}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{19}\! \left(x , y_{0}\right) = F_{20}\! \left(x , y_{0}\right)+F_{34}\! \left(x , y_{0}\right)
F_{20}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}\right)
F_{21}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{22}\! \left(x , y_{0}\right)
F_{22}\! \left(x , y_{0}\right) = F_{23}\! \left(x , y_{0}\right)+F_{24}\! \left(x , y_{0}\right)
F_{23}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y_{0}\right)
F_{24}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}\right)+F_{28}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}\right) = F_{26}\! \left(x , y_{0}\right)
F_{26}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{27}\! \left(x , y_{0}\right)
F_{27}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{25}\! \left(x , y_{0}\right)
F_{28}\! \left(x , y_{0}\right) = y_{0} F_{29}\! \left(x , y_{0}\right)
F_{29}\! \left(x , y_{0}\right) = F_{30}\! \left(x \right)+F_{31}\! \left(x , y_{0}\right)+F_{33}\! \left(x , y_{0}\right)
F_{30}\! \left(x \right) = 0
F_{31}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{32}\! \left(x , y_{0}\right)
F_{32}\! \left(x , y_{0}\right) = F_{29}\! \left(x , y_{0}\right)+F_{4}\! \left(x \right)
F_{33}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{34}\! \left(x , y_{0}\right) = F_{30}\! \left(x \right)+F_{35}\! \left(x , y_{0}\right)+F_{43}\! \left(x , y_{0}\right)
F_{35}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{36}\! \left(x , y_{0}\right)
F_{36}\! \left(x , y_{0}\right) = F_{37}\! \left(x , y_{0}\right)+F_{39}\! \left(x , y_{0}\right)
F_{37}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right)+F_{38}\! \left(x , y_{0}\right)
F_{38}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right)
F_{39}\! \left(x , y_{0}\right) = F_{40}\! \left(x , y_{0}\right)+F_{47}\! \left(x , y_{0}\right)
F_{40}\! \left(x , y_{0}\right) = F_{30}\! \left(x \right)+F_{41}\! \left(x , y_{0}\right)+F_{43}\! \left(x , y_{0}\right)
F_{41}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{42}\! \left(x , y_{0}\right)
F_{42}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right)+F_{40}\! \left(x , y_{0}\right)
F_{43}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{44}\! \left(x , y_{0}\right)
F_{44}\! \left(x , y_{0}\right) = F_{45}\! \left(x , y_{0}\right)+F_{46}\! \left(x , y_{0}\right)
F_{45}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}\right)+F_{40}\! \left(x , y_{0}\right)
F_{46}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right)+F_{47}\! \left(x , y_{0}\right)
F_{47}\! \left(x , y_{0}\right) = 2 F_{30}\! \left(x \right)+F_{48}\! \left(x , y_{0}\right)+F_{50}\! \left(x , y_{0}\right)
F_{48}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{49}\! \left(x , y_{0}\right)
F_{49}\! \left(x , y_{0}\right) = F_{38}\! \left(x , y_{0}\right)+F_{47}\! \left(x , y_{0}\right)
F_{50}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{40}\! \left(x , y_{0}\right)
F_{51}\! \left(x , y_{0}\right) = F_{52}\! \left(x , y_{0}\right)
F_{52}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{53}\! \left(x , y_{0}\right)
F_{53}\! \left(x , y_{0}\right) = F_{54}\! \left(x , y_{0}\right)+F_{55}\! \left(x , y_{0}\right)
F_{54}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{7}\! \left(x , 1\right)-F_{7}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{55}\! \left(x , y_{0}\right) = F_{56}\! \left(x , y_{0}\right)
F_{56}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{57}\! \left(x , y_{0}\right)
F_{57}\! \left(x , y_{0}\right) = F_{58}\! \left(x , y_{0}, 1\right)
F_{58}\! \left(x , y_{0}, y_{1}\right) = F_{59}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{424}\! \left(x , y_{0}, y_{1}\right)+F_{60}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{413}\! \left(x , y_{0}, y_{1}\right)+F_{61}\! \left(x , y_{0}, y_{1}\right)
F_{61}\! \left(x , y_{0}, y_{1}\right) = F_{281}\! \left(x , y_{0}, y_{1}\right)+F_{62}\! \left(x , y_{1}\right)
F_{62}\! \left(x , y_{0}\right) = F_{5}\! \left(x \right)+F_{63}\! \left(x , y_{0}\right)
F_{63}\! \left(x , y_{0}\right) = F_{64}\! \left(x , y_{0}\right)
F_{64}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{65}\! \left(x , y_{0}\right)
F_{65}\! \left(x , y_{0}\right) = F_{411}\! \left(x , y_{0}\right)+F_{66}\! \left(x , y_{0}\right)
F_{66}\! \left(x , y_{0}\right) = F_{67}\! \left(x , 1, y_{0}\right)
F_{68}\! \left(x , y_{0}, y_{1}\right) = F_{158}\! \left(x , y_{0}, y_{1}\right)+F_{67}\! \left(x , y_{0}, y_{1}\right)
F_{69}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{68}\! \left(x , y_{0}, y_{1}\right)
F_{69}\! \left(x , y_{0}, y_{1}\right) = F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}, y_{1}\right) = F_{152}\! \left(x , y_{1}\right)+F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}, y_{1}\right) = F_{150}\! \left(x , y_{0}, y_{1}\right)+F_{72}\! \left(x , y_{0}, y_{1}\right)
F_{72}\! \left(x , y_{0}, y_{1}\right) = F_{73}\! \left(x , y_{0}\right)+F_{74}\! \left(x , y_{0}, y_{1}\right)
F_{73}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{8}\! \left(x , y_{0}\right)
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{140}\! \left(x , y_{0}, y_{1}\right)+F_{74}\! \left(x , y_{0}, y_{1}\right)
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{76}\! \left(x , y_{0}, y_{1}\right)
F_{76}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{1}\right) F_{14}\! \left(x , y_{1}\right) F_{77}\! \left(x , y_{0}, y_{1}\right)
F_{77}\! \left(x , y_{0}, y_{1}\right) = F_{78}\! \left(x , y_{0}, y_{1}\right)+F_{96}\! \left(x , y_{0}\right)
F_{78}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{1}\right) F_{79}\! \left(x , y_{0}\right)
F_{79}\! \left(x , y_{0}\right) = F_{80}\! \left(x , y_{0}\right)+F_{88}\! \left(x , y_{0}\right)
F_{80}\! \left(x , y_{0}\right) = F_{81}\! \left(x , y_{0}\right)+F_{82}\! \left(x , y_{0}\right)
F_{81}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right) F_{23}\! \left(x , y_{0}\right)
F_{82}\! \left(x , y_{0}\right) = F_{83}\! \left(x \right) F_{86}\! \left(x , y_{0}\right)
F_{83}\! \left(x \right) = F_{1}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{86}\! \left(x , y_{0}\right) = F_{87}\! \left(x , y_{0}\right)
F_{87}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}\right)
F_{88}\! \left(x , y_{0}\right) = F_{83}\! \left(x \right) F_{89}\! \left(x , y_{0}\right)
F_{89}\! \left(x , y_{0}\right) = F_{90}\! \left(x , y_{0}\right)
F_{90}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{91}\! \left(x , y_{0}\right)
F_{91}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right)+F_{92}\! \left(x , y_{0}\right)
F_{92}\! \left(x , y_{0}\right) = F_{34}\! \left(x , y_{0}\right)+F_{93}\! \left(x , y_{0}\right)
F_{93}\! \left(x , y_{0}\right) = F_{94}\! \left(x , y_{0}\right)
F_{94}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{95}\! \left(x , y_{0}\right)
F_{95}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right)+F_{28}\! \left(x , y_{0}\right)
F_{96}\! \left(x , y_{0}\right) = F_{83}\! \left(x \right) F_{97}\! \left(x , y_{0}\right)
F_{97}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right)+F_{98}\! \left(x , y_{0}\right)
F_{98}\! \left(x , y_{0}\right) = F_{30}\! \left(x \right)+F_{87}\! \left(x , y_{0}\right)+F_{99}\! \left(x , y_{0}\right)
F_{99}\! \left(x , y_{0}\right) = F_{100}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{100}\! \left(x , y_{0}\right) = F_{101}\! \left(x , y_{0}\right)+F_{112}\! \left(x , y_{0}\right)
F_{101}\! \left(x , y_{0}\right) = F_{102}\! \left(x , y_{0}\right)+F_{14}\! \left(x , y_{0}\right)
F_{102}\! \left(x , y_{0}\right) = y_{0} F_{103}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}\right) = F_{104}\! \left(x , y_{0}\right)
F_{104}\! \left(x , y_{0}\right) = F_{105}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{105}\! \left(x , y_{0}\right) = F_{106}\! \left(x , y_{0}\right)+F_{107}\! \left(x , y_{0}\right)
F_{106}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right)+F_{4}\! \left(x \right)
F_{107}\! \left(x , y_{0}\right) = F_{108}\! \left(x , y_{0}\right)+F_{110}\! \left(x , y_{0}\right)
F_{108}\! \left(x , y_{0}\right) = F_{109}\! \left(x , y_{0}\right)
F_{109}\! \left(x , y_{0}\right) = y_{0} x^{2}
F_{110}\! \left(x , y_{0}\right) = F_{111}\! \left(x , y_{0}\right)
F_{111}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{112}\! \left(x , y_{0}\right) = F_{113}\! \left(x , y_{0}\right)+F_{123}\! \left(x , y_{0}\right)
F_{113}\! \left(x , y_{0}\right) = y_{0} F_{114}\! \left(x , y_{0}\right)
F_{114}\! \left(x , y_{0}\right) = F_{115}\! \left(x , y_{0}\right)+F_{30}\! \left(x \right)+F_{33}\! \left(x , y_{0}\right)
F_{115}\! \left(x , y_{0}\right) = F_{116}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{116}\! \left(x , y_{0}\right) = F_{117}\! \left(x , y_{0}\right)+F_{118}\! \left(x , y_{0}\right)
F_{117}\! \left(x , y_{0}\right) = F_{108}\! \left(x , y_{0}\right)+F_{4}\! \left(x \right)
F_{118}\! \left(x , y_{0}\right) = F_{119}\! \left(x , y_{0}\right)+F_{29}\! \left(x , y_{0}\right)
F_{119}\! \left(x , y_{0}\right) = 2 F_{30}\! \left(x \right)+F_{120}\! \left(x , y_{0}\right)+F_{122}\! \left(x , y_{0}\right)
F_{120}\! \left(x , y_{0}\right) = F_{121}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{121}\! \left(x , y_{0}\right) = F_{108}\! \left(x , y_{0}\right)+F_{119}\! \left(x , y_{0}\right)
F_{122}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{29}\! \left(x , y_{0}\right)
F_{123}\! \left(x , y_{0}\right) = y_{0} F_{124}\! \left(x , y_{0}\right)
F_{124}\! \left(x , y_{0}\right) = 2 F_{30}\! \left(x \right)+F_{125}\! \left(x , y_{0}\right)+F_{132}\! \left(x , y_{0}\right)
F_{125}\! \left(x , y_{0}\right) = F_{126}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{126}\! \left(x , y_{0}\right) = F_{127}\! \left(x , y_{0}\right)+F_{128}\! \left(x , y_{0}\right)
F_{127}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right)+F_{110}\! \left(x , y_{0}\right)
F_{128}\! \left(x , y_{0}\right) = F_{129}\! \left(x , y_{0}\right)+F_{136}\! \left(x , y_{0}\right)
F_{129}\! \left(x , y_{0}\right) = 2 F_{30}\! \left(x \right)+F_{130}\! \left(x , y_{0}\right)+F_{132}\! \left(x , y_{0}\right)
F_{130}\! \left(x , y_{0}\right) = F_{131}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{131}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right)+F_{129}\! \left(x , y_{0}\right)
F_{132}\! \left(x , y_{0}\right) = F_{133}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{133}\! \left(x , y_{0}\right) = F_{134}\! \left(x , y_{0}\right)+F_{135}\! \left(x , y_{0}\right)
F_{134}\! \left(x , y_{0}\right) = F_{129}\! \left(x , y_{0}\right)+F_{29}\! \left(x , y_{0}\right)
F_{135}\! \left(x , y_{0}\right) = F_{119}\! \left(x , y_{0}\right)+F_{136}\! \left(x , y_{0}\right)
F_{136}\! \left(x , y_{0}\right) = 3 F_{30}\! \left(x \right)+F_{137}\! \left(x , y_{0}\right)+F_{139}\! \left(x , y_{0}\right)
F_{137}\! \left(x , y_{0}\right) = F_{138}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{138}\! \left(x , y_{0}\right) = F_{110}\! \left(x , y_{0}\right)+F_{136}\! \left(x , y_{0}\right)
F_{139}\! \left(x , y_{0}\right) = F_{129}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{140}\! \left(x , y_{0}, y_{1}\right) = F_{141}\! \left(x , y_{0}, y_{1}\right)
F_{141}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{1}\right) F_{14}\! \left(x , y_{1}\right) F_{142}\! \left(x , y_{0}, y_{1}\right)
F_{142}\! \left(x , y_{0}, y_{1}\right) = F_{143}\! \left(x , y_{0}, y_{1}\right)+F_{149}\! \left(x , y_{0}\right)
F_{143}\! \left(x , y_{0}, y_{1}\right) = F_{144}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{1}\right)
F_{144}\! \left(x , y_{0}\right) = F_{145}\! \left(x , y_{0}\right)+F_{148}\! \left(x , y_{0}\right)
F_{145}\! \left(x , y_{0}\right) = F_{146}\! \left(x , y_{0}\right)+F_{147}\! \left(x , y_{0}\right)
F_{146}\! \left(x , y_{0}\right) = F_{2}\! \left(x \right) F_{23}\! \left(x , y_{0}\right)
F_{147}\! \left(x , y_{0}\right) = F_{84}\! \left(x \right) F_{86}\! \left(x , y_{0}\right)
F_{148}\! \left(x , y_{0}\right) = F_{84}\! \left(x \right) F_{89}\! \left(x , y_{0}\right)
F_{149}\! \left(x , y_{0}\right) = F_{84}\! \left(x \right) F_{97}\! \left(x , y_{0}\right)
F_{150}\! \left(x , y_{0}, y_{1}\right) = F_{151}\! \left(x , y_{0}, y_{1}\right)
F_{151}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{59}\! \left(x , y_{0}, y_{1}\right)
F_{152}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right)+F_{153}\! \left(x , y_{0}\right)
F_{153}\! \left(x , y_{0}\right) = F_{154}\! \left(x , y_{0}\right)+F_{2}\! \left(x \right)
F_{154}\! \left(x , y_{0}\right) = F_{155}\! \left(x , y_{0}\right)
F_{155}\! \left(x , y_{0}\right) = F_{156}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{156}\! \left(x , y_{0}\right) = F_{157}\! \left(x , y_{0}\right)+F_{63}\! \left(x , y_{0}\right)
F_{157}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right) F_{62}\! \left(x , y_{0}\right)
F_{158}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{159}\! \left(x , y_{0}, y_{1}\right)
F_{159}\! \left(x , y_{0}, y_{1}\right) = F_{160}\! \left(x , y_{0}, y_{1}\right)+F_{162}\! \left(x , y_{0}, y_{1}\right)
F_{160}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{1}\right) F_{161}\! \left(x , y_{0}\right)
F_{161}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{7}\! \left(x , y_{0}\right)
F_{162}\! \left(x , y_{0}, y_{1}\right) = F_{163}\! \left(x , y_{1}\right)+F_{409}\! \left(x , y_{0}, y_{1}\right)
F_{164}\! \left(x , y_{0}\right) = F_{163}\! \left(x , y_{0}\right)+F_{408}\! \left(x , y_{0}\right)
F_{164}\! \left(x , y_{0}\right) = F_{153}\! \left(x , y_{0}\right)+F_{165}\! \left(x , y_{0}\right)
F_{165}\! \left(x , y_{0}\right) = F_{166}\! \left(x , y_{0}\right)
F_{166}\! \left(x , y_{0}\right) = F_{167}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{167}\! \left(x , y_{0}\right) = F_{168}\! \left(x , 1, y_{0}\right)
F_{168}\! \left(x , y_{0}, y_{1}\right) = F_{159}\! \left(x , y_{0}, y_{1}\right)+F_{169}\! \left(x , y_{1}\right)
F_{169}\! \left(x , y_{0}\right) = F_{170}\! \left(x , y_{0}\right)+F_{225}\! \left(x , y_{0}\right)
F_{170}\! \left(x , y_{0}\right) = F_{171}\! \left(x , 1, y_{0}\right)
F_{171}\! \left(x , y_{0}, y_{1}\right) = F_{172}\! \left(x , y_{1}\right) F_{27}\! \left(x , y_{0}\right)
F_{172}\! \left(x , y_{0}\right) = F_{173}\! \left(x , y_{0}\right)
F_{173}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{174}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{174}\! \left(x , y_{0}\right) = F_{175}\! \left(x , y_{0}\right)+F_{182}\! \left(x , y_{0}\right)
F_{175}\! \left(x , y_{0}\right) = F_{176}\! \left(x , y_{0}\right)+F_{177}\! \left(x \right)
F_{176}\! \left(x , y_{0}\right) = F_{23}\! \left(x , y_{0}\right) F_{83}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{4}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{4}\! \left(x \right)
F_{180}\! \left(x \right) = F_{178}\! \left(x \right)+F_{181}\! \left(x \right)+F_{30}\! \left(x \right)
F_{181}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{182}\! \left(x , y_{0}\right) = F_{183}\! \left(x \right)+F_{194}\! \left(x , y_{0}\right)
F_{183}\! \left(x \right) = F_{184}\! \left(x , 1\right)
F_{184}\! \left(x , y_{0}\right) = F_{185}\! \left(x , y_{0}\right)
F_{185}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{186}\! \left(x \right) F_{189}\! \left(x , y_{0}\right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{188}\! \left(x \right)
F_{187}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{180}\! \left(x \right)+F_{84}\! \left(x \right)
F_{189}\! \left(x , y_{0}\right) = F_{190}\! \left(x , y_{0}\right)+F_{73}\! \left(x , y_{0}\right)
F_{190}\! \left(x , y_{0}\right) = F_{191}\! \left(x , y_{0}\right)
F_{191}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{192}\! \left(x , y_{0}\right) F_{27}\! \left(x , y_{0}\right)
F_{192}\! \left(x , y_{0}\right) = F_{193}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{193}\! \left(x , y_{0}\right) = F_{27}\! \left(x , y_{0}\right) F_{73}\! \left(x , y_{0}\right)
F_{194}\! \left(x , y_{0}\right) = F_{195}\! \left(x , y_{0}\right)
F_{195}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{196}\! \left(x \right) F_{83}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{4}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{206}\! \left(x \right)
F_{199}\! \left(x \right) = F_{1}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{199}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{4}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{209}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{186}\! \left(x \right) F_{4}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{217}\! \left(x \right)+F_{30}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{4}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{213}\! \left(x \right)
F_{212}\! \left(x \right) = F_{200}\! \left(x \right)+F_{204}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{221}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{217}\! \left(x \right)+F_{30}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right) F_{4}\! \left(x \right)
F_{216}\! \left(x \right) = F_{200}\! \left(x \right)+F_{214}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right) F_{4}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{220}\! \left(x \right)
F_{219}\! \left(x \right) = F_{214}\! \left(x \right)+F_{84}\! \left(x \right)
F_{220}\! \left(x \right) = F_{180}\! \left(x \right)+F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = 2 F_{30}\! \left(x \right)+F_{222}\! \left(x \right)+F_{224}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right) F_{4}\! \left(x \right)
F_{223}\! \left(x \right) = F_{204}\! \left(x \right)+F_{221}\! \left(x \right)
F_{224}\! \left(x \right) = F_{214}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x , y_{0}\right) = -\frac{-F_{225}\! \left(x , y_{0}\right) y_{0}+F_{225}\! \left(x , 1\right)}{-1+y_{0}}
F_{227}\! \left(x , y_{0}\right) = F_{226}\! \left(x , y_{0}\right)+F_{406}\! \left(x , y_{0}\right)
F_{228}\! \left(x , y_{0}\right) = F_{227}\! \left(x , y_{0}\right)+F_{273}\! \left(x , y_{0}\right)
F_{229}\! \left(x , y_{0}\right) = F_{228}\! \left(x , y_{0}\right)+F_{252}\! \left(x , y_{0}\right)
F_{230}\! \left(x , y_{0}\right) = F_{229}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{230}\! \left(x , y_{0}\right) = F_{231}\! \left(x , y_{0}\right)
F_{232}\! \left(x , y_{0}\right) = F_{231}\! \left(x , y_{0}\right)+F_{243}\! \left(x , y_{0}\right)
F_{233}\! \left(x , y_{0}\right) = F_{232}\! \left(x , y_{0}\right)+F_{240}\! \left(x , y_{0}\right)
F_{234}\! \left(x , y_{0}\right) = -\frac{-F_{233}\! \left(x , y_{0}\right) y_{0}+F_{233}\! \left(x , 1\right)}{-1+y_{0}}
F_{235}\! \left(x , y_{0}\right) = F_{234}\! \left(x , y_{0}\right)+F_{238}\! \left(x , y_{0}\right)
F_{236}\! \left(x , y_{0}\right) = F_{235}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{236}\! \left(x , y_{0}\right) = F_{237}\! \left(x , y_{0}\right)
F_{237}\! \left(x , y_{0}\right) = F_{70}\! \left(x , 1, y_{0}\right)
F_{238}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{239}\! \left(x , y_{0}\right)
F_{239}\! \left(x , y_{0}\right) = F_{152}\! \left(x , y_{0}\right)+F_{165}\! \left(x , y_{0}\right)
F_{240}\! \left(x , y_{0}\right) = F_{152}\! \left(x , y_{0}\right)+F_{241}\! \left(x , y_{0}\right)
F_{241}\! \left(x , y_{0}\right) = F_{242}\! \left(x , y_{0}\right)
F_{242}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{66}\! \left(x , y_{0}\right)
F_{243}\! \left(x , y_{0}\right) = F_{172}\! \left(x , y_{0}\right)+F_{244}\! \left(x , y_{0}\right)
F_{244}\! \left(x , y_{0}\right) = F_{245}\! \left(x , y_{0}\right)
F_{245}\! \left(x , y_{0}\right) = F_{246}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{246}\! \left(x , y_{0}\right) = F_{243}\! \left(x , y_{0}\right)+F_{247}\! \left(x , y_{0}\right)
F_{247}\! \left(x , y_{0}\right) = F_{248}\! \left(x , y_{0}\right)
F_{248}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{249}\! \left(x \right) F_{4}\! \left(x \right)
F_{249}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = \frac{F_{251}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{251}\! \left(x \right) = F_{2}\! \left(x \right)
F_{252}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{253}\! \left(x , y_{0}\right)
F_{253}\! \left(x , y_{0}\right) = F_{254}\! \left(x , y_{0}\right)+F_{256}\! \left(x , y_{0}\right)
F_{254}\! \left(x , y_{0}\right) = F_{255}\! \left(x , y_{0}\right)
F_{255}\! \left(x , y_{0}\right) = F_{153}\! \left(x , y_{0}\right) F_{83}\! \left(x \right)
F_{256}\! \left(x , y_{0}\right) = F_{257}\! \left(x , 1, y_{0}\right)
F_{258}\! \left(x , y_{0}, y_{1}\right) = F_{257}\! \left(x , y_{0}, y_{1}\right)+F_{271}\! \left(x , y_{0}, y_{1}\right)
F_{258}\! \left(x , y_{0}, y_{1}\right) = F_{239}\! \left(x , y_{1}\right)+F_{259}\! \left(x , y_{0}, y_{1}\right)
F_{259}\! \left(x , y_{0}, y_{1}\right) = F_{260}\! \left(x , y_{0}, y_{1}\right)
F_{260}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{261}\! \left(x , y_{0}, y_{1}\right)
F_{261}\! \left(x , y_{0}, y_{1}\right) = F_{262}\! \left(x , y_{1}\right)+F_{263}\! \left(x , y_{0}, y_{1}\right)
F_{262}\! \left(x , y_{0}\right) = F_{159}\! \left(x , 1, y_{0}\right)
F_{263}\! \left(x , y_{0}, y_{1}\right) = F_{264}\! \left(x , y_{0}, y_{1}\right)
F_{264}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{265}\! \left(x , y_{0}, y_{1}\right)
F_{265}\! \left(x , y_{0}, y_{1}\right) = F_{266}\! \left(x , y_{0}, 1, y_{1}\right)
F_{266}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{267}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{267}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{267}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{159}\! \left(x , y_{1}, y_{2}\right)+F_{268}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{268}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{269}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{269}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{270}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{270}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{267}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{267}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{271}\! \left(x , y_{0}, y_{1}\right) = F_{272}\! \left(x , y_{0}, y_{1}\right)
F_{272}\! \left(x , y_{0}, y_{1}\right) = F_{152}\! \left(x , y_{1}\right) F_{27}\! \left(x , y_{0}\right)
F_{273}\! \left(x , y_{0}\right) = F_{274}\! \left(x , 1, y_{0}\right)
F_{274}\! \left(x , y_{0}, y_{1}\right) = F_{275}\! \left(x , y_{0}, y_{1}\right)
F_{275}\! \left(x , y_{0}, y_{1}\right) = F_{276}\! \left(x , y_{0}, y_{1}\right) F_{4}\! \left(x \right)
F_{277}\! \left(x , y_{0}, y_{1}\right) = F_{276}\! \left(x , y_{1}, y_{0}\right)+F_{401}\! \left(x , y_{0}\right)
F_{278}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{277}\! \left(x , y_{0}, y_{1}\right)
F_{278}\! \left(x , y_{0}, y_{1}\right) = F_{279}\! \left(x , y_{1}, y_{0}\right)
F_{279}\! \left(x , y_{0}, y_{1}\right) = F_{280}\! \left(x , y_{0}, y_{1}\right)+F_{398}\! \left(x , y_{0}, y_{1}\right)
F_{280}\! \left(x , y_{0}, y_{1}\right) = F_{281}\! \left(x , y_{0}, y_{1}\right)+F_{288}\! \left(x , y_{0}, y_{1}\right)
F_{281}\! \left(x , y_{0}, y_{1}\right) = F_{282}\! \left(x , y_{0}, y_{1}\right)
F_{282}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{283}\! \left(x , y_{0}, y_{1}\right)
F_{283}\! \left(x , y_{0}, y_{1}\right) = F_{284}\! \left(x , y_{0}, y_{1}\right)+F_{285}\! \left(x , y_{0}, y_{1}\right)
F_{284}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{67}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{67}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{285}\! \left(x , y_{0}, y_{1}\right) = F_{286}\! \left(x , y_{0}, y_{1}\right)
F_{286}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{287}\! \left(x , y_{0}, y_{1}\right)
F_{287}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{168}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{168}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{288}\! \left(x , y_{0}, y_{1}\right) = F_{289}\! \left(x , y_{0}, y_{1}\right)
F_{289}\! \left(x , y_{0}, y_{1}\right) = F_{290}\! \left(x , y_{0}, y_{1}\right) F_{4}\! \left(x \right)
F_{290}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{291}\! \left(x , 1, y_{1}\right)-F_{291}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{291}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} \left(F_{292}\! \left(x , y_{0}\right)-F_{292}\! \left(x , y_{1}\right)\right)}{-y_{1}+y_{0}}
F_{292}\! \left(x , y_{0}\right) = F_{293}\! \left(x , y_{0}\right)+F_{397}\! \left(x , y_{0}\right)
F_{293}\! \left(x , y_{0}\right) = F_{294}\! \left(x , y_{0}\right)+F_{295}\! \left(x , y_{0}\right)
F_{294}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right) F_{83}\! \left(x \right)
F_{295}\! \left(x , y_{0}\right) = F_{296}\! \left(x , y_{0}\right)
F_{296}\! \left(x , y_{0}\right) = F_{297}\! \left(x , y_{0}\right) F_{4}\! \left(x \right) F_{83}\! \left(x \right)
F_{297}\! \left(x , y_{0}\right) = F_{298}\! \left(x , y_{0}\right)+F_{303}\! \left(x , y_{0}\right)
F_{299}\! \left(x , y_{0}\right) = F_{298}\! \left(x , y_{0}\right)+F_{312}\! \left(x \right)
F_{300}\! \left(x , y_{0}\right) = F_{299}\! \left(x , y_{0}\right)+F_{303}\! \left(x , y_{0}\right)
F_{301}\! \left(x , y_{0}\right) = F_{300}\! \left(x , y_{0}\right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{301}\! \left(x , y_{0}\right) = F_{302}\! \left(x , y_{0}\right)
F_{302}\! \left(x , y_{0}\right) = F_{162}\! \left(x , 1, y_{0}\right)
F_{303}\! \left(x , y_{0}\right) = F_{304}\! \left(x , y_{0}\right)+F_{308}\! \left(x , y_{0}\right)
F_{305}\! \left(x , y_{0}\right) = F_{304}\! \left(x , y_{0}\right)+F_{307}\! \left(x , y_{0}\right)
F_{306}\! \left(x , y_{0}\right) = F_{305}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{306}\! \left(x , y_{0}\right) = F_{154}\! \left(x , y_{0}\right)
F_{240}\! \left(x , y_{0}\right) = F_{250}\! \left(x \right)+F_{307}\! \left(x , y_{0}\right)
F_{308}\! \left(x , y_{0}\right) = F_{309}\! \left(x , 1, y_{0}\right)
F_{309}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{310}\! \left(x , y_{0}, y_{1}\right)
F_{310}\! \left(x , y_{0}, y_{1}\right) = F_{311}\! \left(x , y_{0}, y_{1}\right)
F_{311}\! \left(x , y_{0}, y_{1}\right) = F_{259}\! \left(x , y_{0}, y_{1}\right) F_{4}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)+F_{387}\! \left(x \right)
F_{313}\! \left(x \right) = F_{0}\! \left(x \right)+F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right) F_{4}\! \left(x \right)
F_{316}\! \left(x \right) = F_{313}\! \left(x \right)+F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right) F_{4}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{321}\! \left(x \right)
F_{320}\! \left(x \right) = F_{299}\! \left(x , 1\right)
F_{321}\! \left(x \right) = F_{322}\! \left(x , 1\right)
F_{323}\! \left(x , y_{0}\right) = F_{322}\! \left(x , y_{0}\right)+F_{370}\! \left(x , y_{0}\right)
F_{324}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{323}\! \left(x , y_{0}\right)
F_{324}\! \left(x , y_{0}\right) = F_{325}\! \left(x , y_{0}\right)
F_{325}\! \left(x , y_{0}\right) = F_{326}\! \left(x , y_{0}\right)+F_{330}\! \left(x , y_{0}\right)
F_{326}\! \left(x , y_{0}\right) = F_{327}\! \left(x , y_{0}\right)+F_{7}\! \left(x , y_{0}\right)
F_{327}\! \left(x , y_{0}\right) = F_{328}\! \left(x , y_{0}\right)
F_{328}\! \left(x , y_{0}\right) = F_{329}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{329}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{325}\! \left(x , 1\right)-F_{325}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{330}\! \left(x , y_{0}\right) = y_{0} F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{4} \left(x \right)^{2} F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{368}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)+F_{340}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)+F_{5}\! \left(x \right)
F_{336}\! \left(x \right) = -F_{340}\! \left(x \right)+F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = \frac{F_{338}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{249}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{342}\! \left(x \right)
F_{341}\! \left(x \right) = F_{326}\! \left(x , 1\right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right) F_{4}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{367}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x , 1\right)
F_{347}\! \left(x , y_{0}\right) = F_{348}\! \left(x , y_{0}\right)
F_{348}\! \left(x , y_{0}\right) = F_{349}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{349}\! \left(x , y_{0}\right) = F_{350}\! \left(x , y_{0}\right)+F_{365}\! \left(x , y_{0}\right)
F_{350}\! \left(x , y_{0}\right) = F_{351}\! \left(x \right)+F_{361}\! \left(x , y_{0}\right)
F_{351}\! \left(x \right) = F_{352}\! \left(x , 1\right)
F_{352}\! \left(x , y_{0}\right) = F_{161}\! \left(x , y_{0}\right)+F_{353}\! \left(x , y_{0}\right)
F_{353}\! \left(x , y_{0}\right) = F_{354}\! \left(x , y_{0}\right)
F_{354}\! \left(x , y_{0}\right) = F_{355}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{355}\! \left(x , y_{0}\right) = F_{356}\! \left(x , 1, y_{0}\right)
F_{356}\! \left(x , y_{0}, y_{1}\right) = F_{352}\! \left(x , y_{1}\right)+F_{357}\! \left(x , y_{0}, y_{1}\right)
F_{357}\! \left(x , y_{0}, y_{1}\right) = F_{358}\! \left(x , y_{0}, y_{1}\right)
F_{358}\! \left(x , y_{0}, y_{1}\right) = F_{359}\! \left(x , y_{0}\right) F_{360}\! \left(x , y_{0}, y_{1}\right)
F_{359}\! \left(x , y_{0}\right) = y_{0} x
F_{360}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{356}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{356}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{361}\! \left(x , y_{0}\right) = F_{362}\! \left(x , y_{0}\right)
F_{362}\! \left(x , y_{0}\right) = F_{359}\! \left(x , y_{0}\right) F_{363}\! \left(x , y_{0}\right)
F_{363}\! \left(x , y_{0}\right) = F_{364}\! \left(x , y_{0}, 1\right)
F_{364}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{356}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{356}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{365}\! \left(x , y_{0}\right) = F_{366}\! \left(x , y_{0}\right)
F_{366}\! \left(x , y_{0}\right) = F_{312}\! \left(x \right) F_{350}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{367}\! \left(x \right) = F_{333}\! \left(x \right) F_{4}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{312}\! \left(x \right) F_{334}\! \left(x \right) F_{4}\! \left(x \right)
F_{370}\! \left(x , y_{0}\right) = F_{371}\! \left(x , y_{0}\right)+F_{385}\! \left(x \right)
F_{371}\! \left(x , y_{0}\right) = F_{298}\! \left(x , y_{0}\right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{250}\! \left(x \right)+F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = -F_{376}\! \left(x \right)+F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = \frac{F_{375}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{375}\! \left(x \right) = F_{339}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right) F_{4}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right)+F_{381}\! \left(x \right)
F_{379}\! \left(x \right) = \frac{F_{380}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{380}\! \left(x \right) = F_{336}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x , 1\right)
F_{383}\! \left(x , y_{0}\right) = F_{384}\! \left(x , y_{0}\right)
F_{384}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{349}\! \left(x , y_{0}\right)
F_{385}\! \left(x \right) = F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{333}\! \left(x \right) F_{4}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{249}\! \left(x \right)+F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = -F_{390}\! \left(x \right)+F_{373}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right) F_{4}\! \left(x \right)
F_{392}\! \left(x \right) = F_{317}\! \left(x \right)+F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{395}\! \left(x \right)
F_{394}\! \left(x \right) = F_{0}\! \left(x \right)+F_{390}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)
F_{396}\! \left(x \right) = F_{333}\! \left(x \right) F_{4}\! \left(x \right)
F_{169}\! \left(x , y_{0}\right) = F_{317}\! \left(x \right)+F_{397}\! \left(x , y_{0}\right)
F_{398}\! \left(x , y_{0}, y_{1}\right) = F_{399}\! \left(x , y_{0}, y_{1}\right)
F_{399}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{400}\! \left(x , y_{0}, y_{1}\right)
F_{400}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{279}\! \left(x , 1, y_{1}\right)-F_{279}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{401}\! \left(x , y_{0}\right) = F_{402}\! \left(x , y_{0}\right)
F_{402}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{403}\! \left(x , y_{0}\right)
F_{403}\! \left(x , y_{0}\right) = F_{404}\! \left(x , 1, y_{0}\right)
F_{405}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{404}\! \left(x , y_{0}, y_{1}\right)
F_{405}\! \left(x , y_{0}, y_{1}\right) = F_{257}\! \left(x , y_{0}, y_{1}\right)
F_{406}\! \left(x , y_{0}\right) = F_{163}\! \left(x , y_{0}\right)+F_{407}\! \left(x , y_{0}\right)
F_{407}\! \left(x , y_{0}\right) = -\frac{-F_{295}\! \left(x , y_{0}\right)+F_{295}\! \left(x , 1\right)}{-1+y_{0}}
F_{408}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{2}\! \left(x \right)
F_{409}\! \left(x , y_{0}, y_{1}\right) = F_{410}\! \left(x , y_{0}, y_{1}\right)
F_{410}\! \left(x , y_{0}, y_{1}\right) = F_{300}\! \left(x , y_{1}\right) F_{4}\! \left(x \right) F_{7}\! \left(x , y_{0}\right)
F_{411}\! \left(x , y_{0}\right) = F_{412}\! \left(x , y_{0}\right)
F_{412}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{167}\! \left(x , y_{0}\right)
F_{413}\! \left(x , y_{0}, y_{1}\right) = F_{414}\! \left(x , y_{0}, y_{1}\right)
F_{414}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{415}\! \left(x , y_{0}, y_{1}\right)
F_{415}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{416}\! \left(x , y_{0}, 1\right)-y_{1} F_{416}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right)}{-y_{1}+y_{0}}
F_{416}\! \left(x , y_{0}, y_{1}\right) = F_{417}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{417}\! \left(x , y_{0}, y_{1}\right) = F_{418}\! \left(x , y_{0}, y_{1}\right)+F_{60}\! \left(x , y_{0}, y_{1}\right)
F_{418}\! \left(x , y_{0}, y_{1}\right) = F_{419}\! \left(x , y_{0}, y_{1}\right)
F_{419}\! \left(x , y_{0}, y_{1}\right) = F_{420}\! \left(x , y_{0}\right) F_{62}\! \left(x , y_{1}\right)
F_{420}\! \left(x , y_{0}\right) = F_{421}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{421}\! \left(x , y_{0}\right) = F_{30}\! \left(x \right)+F_{422}\! \left(x , y_{0}\right)+F_{99}\! \left(x , y_{0}\right)
F_{422}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{423}\! \left(x , y_{0}\right)
F_{423}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}\right)
F_{424}\! \left(x , y_{0}, y_{1}\right) = F_{62}\! \left(x , y_{1}\right) F_{74}\! \left(x , y_{0}, y_{1}\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x, 1))
Eq(F_7(x, k_0), F_51(x, k_0) + F_8(x, k_0))
Eq(F_8(x, k_0), F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0)*F_14(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0) + F_19(x, k_0))
Eq(F_11(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0), F_11(x, k_0) + F_16(x, k_0))
Eq(F_16(x, k_0), F_14(x, k_0) + F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0))
Eq(F_18(x, k_0), F_12(x, k_0)*F_14(x, k_0))
Eq(F_19(x, k_0), F_20(x, k_0) + F_34(x, k_0))
Eq(F_20(x, k_0), F_21(x, k_0))
Eq(F_21(x, k_0), F_14(x, k_0)*F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0) + F_24(x, k_0))
Eq(F_23(x, k_0), F_1(x) + F_14(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0) + F_28(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0))
Eq(F_26(x, k_0), F_14(x, k_0)*F_27(x, k_0))
Eq(F_27(x, k_0), F_1(x) + F_25(x, k_0))
Eq(F_28(x, k_0), k_0*F_29(x, k_0))
Eq(F_29(x, k_0), F_30(x) + F_31(x, k_0) + F_33(x, k_0))
Eq(F_30(x), 0)
Eq(F_31(x, k_0), F_14(x, k_0)*F_32(x, k_0))
Eq(F_32(x, k_0), F_29(x, k_0) + F_4(x))
Eq(F_33(x, k_0), F_25(x, k_0)*F_4(x))
Eq(F_34(x, k_0), F_30(x) + F_35(x, k_0) + F_43(x, k_0))
Eq(F_35(x, k_0), F_14(x, k_0)*F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0) + F_39(x, k_0))
Eq(F_37(x, k_0), F_12(x, k_0) + F_38(x, k_0))
Eq(F_38(x, k_0), F_18(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0) + F_47(x, k_0))
Eq(F_40(x, k_0), F_30(x) + F_41(x, k_0) + F_43(x, k_0))
Eq(F_41(x, k_0), F_14(x, k_0)*F_42(x, k_0))
Eq(F_42(x, k_0), F_12(x, k_0) + F_40(x, k_0))
Eq(F_43(x, k_0), F_14(x, k_0)*F_44(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0) + F_46(x, k_0))
Eq(F_45(x, k_0), F_25(x, k_0) + F_40(x, k_0))
Eq(F_46(x, k_0), F_28(x, k_0) + F_47(x, k_0))
Eq(F_47(x, k_0), 2*F_30(x) + F_48(x, k_0) + F_50(x, k_0))
Eq(F_48(x, k_0), F_14(x, k_0)*F_49(x, k_0))
Eq(F_49(x, k_0), F_38(x, k_0) + F_47(x, k_0))
Eq(F_50(x, k_0), F_14(x, k_0)*F_40(x, k_0))
Eq(F_51(x, k_0), F_52(x, k_0))
Eq(F_52(x, k_0), F_4(x)*F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0) + F_55(x, k_0))
Eq(F_54(x, k_0), -F_7(x, 1) + (k_0*F_7(x, k_0) - F_7(x, 1))/(k_0 - 1))
Eq(F_55(x, k_0), F_56(x, k_0))
Eq(F_56(x, k_0), F_14(x, k_0)*F_57(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0, 1))
Eq(F_58(x, k_0, k_1), F_59(x, k_0, k_0*k_1))
Eq(F_59(x, k_0, k_1), F_424(x, k_0, k_1) + F_60(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_413(x, k_0, k_1) + F_61(x, k_0, k_1))
Eq(F_61(x, k_0, k_1), F_281(x, k_0, k_1) + F_62(x, k_1))
Eq(F_62(x, k_0), F_5(x) + F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_14(x, k_0)*F_65(x, k_0))
Eq(F_65(x, k_0), F_411(x, k_0) + F_66(x, k_0))
Eq(F_66(x, k_0), F_67(x, 1, k_0))
Eq(F_68(x, k_0, k_1), F_158(x, k_0, k_1) + F_67(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_14(x, k_0)*F_68(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_70(x, k_0, k_1))
Eq(F_71(x, k_0, k_1), F_152(x, k_1) + F_70(x, k_0, k_1))
Eq(F_71(x, k_0, k_1), F_150(x, k_0, k_1) + F_72(x, k_0, k_1))
Eq(F_72(x, k_0, k_1), F_73(x, k_0) + F_74(x, k_0, k_1))
Eq(F_73(x, k_0), F_1(x) + F_8(x, k_0))
Eq(F_75(x, k_0, k_1), F_140(x, k_0, k_1) + F_74(x, k_0, k_1))
Eq(F_75(x, k_0, k_1), F_76(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_11(x, k_1)*F_14(x, k_1)*F_77(x, k_0, k_1))
Eq(F_77(x, k_0, k_1), F_78(x, k_0, k_1) + F_96(x, k_0))
Eq(F_78(x, k_0, k_1), F_23(x, k_1)*F_79(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0) + F_88(x, k_0))
Eq(F_80(x, k_0), F_81(x, k_0) + F_82(x, k_0))
Eq(F_81(x, k_0), F_0(x)*F_23(x, k_0))
Eq(F_82(x, k_0), F_83(x)*F_86(x, k_0))
Eq(F_83(x), F_1(x) + F_84(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_4(x)*F_83(x))
Eq(F_86(x, k_0), F_87(x, k_0))
Eq(F_87(x, k_0), F_14(x, k_0)*F_25(x, k_0))
Eq(F_88(x, k_0), F_83(x)*F_89(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0))
Eq(F_90(x, k_0), F_14(x, k_0)*F_91(x, k_0))
Eq(F_91(x, k_0), F_12(x, k_0) + F_92(x, k_0))
Eq(F_92(x, k_0), F_34(x, k_0) + F_93(x, k_0))
Eq(F_93(x, k_0), F_94(x, k_0))
Eq(F_94(x, k_0), F_14(x, k_0)*F_95(x, k_0))
Eq(F_95(x, k_0), F_14(x, k_0) + F_28(x, k_0))
Eq(F_96(x, k_0), F_83(x)*F_97(x, k_0))
Eq(F_97(x, k_0), F_14(x, k_0) + F_98(x, k_0))
Eq(F_98(x, k_0), F_30(x) + F_87(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0)*F_14(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0) + F_112(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0) + F_14(x, k_0))
Eq(F_102(x, k_0), k_0*F_103(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0)*F_14(x, k_0))
Eq(F_105(x, k_0), F_106(x, k_0) + F_107(x, k_0))
Eq(F_106(x, k_0), F_103(x, k_0) + F_4(x))
Eq(F_107(x, k_0), F_108(x, k_0) + F_110(x, k_0))
Eq(F_108(x, k_0), F_109(x, k_0))
Eq(F_109(x, k_0), k_0*x**2)
Eq(F_110(x, k_0), F_111(x, k_0))
Eq(F_111(x, k_0), F_103(x, k_0)*F_14(x, k_0))
Eq(F_112(x, k_0), F_113(x, k_0) + F_123(x, k_0))
Eq(F_113(x, k_0), k_0*F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0) + F_30(x) + F_33(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0)*F_14(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0) + F_118(x, k_0))
Eq(F_117(x, k_0), F_108(x, k_0) + F_4(x))
Eq(F_118(x, k_0), F_119(x, k_0) + F_29(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0) + F_122(x, k_0) + 2*F_30(x))
Eq(F_120(x, k_0), F_121(x, k_0)*F_14(x, k_0))
Eq(F_121(x, k_0), F_108(x, k_0) + F_119(x, k_0))
Eq(F_122(x, k_0), F_14(x, k_0)*F_29(x, k_0))
Eq(F_123(x, k_0), k_0*F_124(x, k_0))
Eq(F_124(x, k_0), F_125(x, k_0) + F_132(x, k_0) + 2*F_30(x))
Eq(F_125(x, k_0), F_126(x, k_0)*F_14(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0) + F_128(x, k_0))
Eq(F_127(x, k_0), F_103(x, k_0) + F_110(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0) + F_136(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0) + F_132(x, k_0) + 2*F_30(x))
Eq(F_130(x, k_0), F_131(x, k_0)*F_14(x, k_0))
Eq(F_131(x, k_0), F_103(x, k_0) + F_129(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0)*F_14(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0) + F_135(x, k_0))
Eq(F_134(x, k_0), F_129(x, k_0) + F_29(x, k_0))
Eq(F_135(x, k_0), F_119(x, k_0) + F_136(x, k_0))
Eq(F_136(x, k_0), F_137(x, k_0) + F_139(x, k_0) + 3*F_30(x))
Eq(F_137(x, k_0), F_138(x, k_0)*F_14(x, k_0))
Eq(F_138(x, k_0), F_110(x, k_0) + F_136(x, k_0))
Eq(F_139(x, k_0), F_129(x, k_0)*F_14(x, k_0))
Eq(F_140(x, k_0, k_1), F_141(x, k_0, k_1))
Eq(F_141(x, k_0, k_1), F_11(x, k_1)*F_14(x, k_1)*F_142(x, k_0, k_1))
Eq(F_142(x, k_0, k_1), F_143(x, k_0, k_1) + F_149(x, k_0))
Eq(F_143(x, k_0, k_1), F_144(x, k_0)*F_23(x, k_1))
Eq(F_144(x, k_0), F_145(x, k_0) + F_148(x, k_0))
Eq(F_145(x, k_0), F_146(x, k_0) + F_147(x, k_0))
Eq(F_146(x, k_0), F_2(x)*F_23(x, k_0))
Eq(F_147(x, k_0), F_84(x)*F_86(x, k_0))
Eq(F_148(x, k_0), F_84(x)*F_89(x, k_0))
Eq(F_149(x, k_0), F_84(x)*F_97(x, k_0))
Eq(F_150(x, k_0, k_1), F_151(x, k_0, k_1))
Eq(F_151(x, k_0, k_1), F_4(x)*F_59(x, k_0, k_1))
Eq(F_152(x, k_0), F_11(x, k_0) + F_153(x, k_0))
Eq(F_153(x, k_0), F_154(x, k_0) + F_2(x))
Eq(F_154(x, k_0), F_155(x, k_0))
Eq(F_155(x, k_0), F_156(x, k_0)*F_4(x))
Eq(F_156(x, k_0), F_157(x, k_0) + F_63(x, k_0))
Eq(F_157(x, k_0), F_12(x, k_0)*F_62(x, k_0))
Eq(F_158(x, k_0, k_1), F_14(x, k_1)*F_159(x, k_0, k_1))
Eq(F_159(x, k_0, k_1), F_160(x, k_0, k_1) + F_162(x, k_0, k_1))
Eq(F_160(x, k_0, k_1), F_11(x, k_1)*F_161(x, k_0))
Eq(F_161(x, k_0), F_0(x) + F_7(x, k_0))
Eq(F_162(x, k_0, k_1), F_163(x, k_1) + F_409(x, k_0, k_1))
Eq(F_164(x, k_0), F_163(x, k_0) + F_408(x, k_0))
Eq(F_164(x, k_0), F_153(x, k_0) + F_165(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_166(x, k_0), F_167(x, k_0)*F_4(x))
Eq(F_167(x, k_0), F_168(x, 1, k_0))
Eq(F_168(x, k_0, k_1), F_159(x, k_0, k_1) + F_169(x, k_1))
Eq(F_169(x, k_0), F_170(x, k_0) + F_225(x, k_0))
Eq(F_170(x, k_0), F_171(x, 1, k_0))
Eq(F_171(x, k_0, k_1), F_172(x, k_1)*F_27(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0))
Eq(F_173(x, k_0), F_11(x, k_0)*F_174(x, k_0)*F_4(x))
Eq(F_174(x, k_0), F_175(x, k_0) + F_182(x, k_0))
Eq(F_175(x, k_0), F_176(x, k_0) + F_177(x))
Eq(F_176(x, k_0), F_23(x, k_0)*F_83(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x)*F_4(x))
Eq(F_179(x), F_180(x) + F_4(x))
Eq(F_180(x), F_178(x) + F_181(x) + F_30(x))
Eq(F_181(x), F_4(x)*F_84(x))
Eq(F_182(x, k_0), F_183(x) + F_194(x, k_0))
Eq(F_183(x), F_184(x, 1))
Eq(F_184(x, k_0), F_185(x, k_0))
Eq(F_185(x, k_0), F_14(x, k_0)*F_186(x)*F_189(x, k_0))
Eq(F_186(x), F_187(x) + F_188(x))
Eq(F_187(x), F_1(x) + F_4(x))
Eq(F_188(x), F_180(x) + F_84(x))
Eq(F_189(x, k_0), F_190(x, k_0) + F_73(x, k_0))
Eq(F_190(x, k_0), F_191(x, k_0))
Eq(F_191(x, k_0), F_14(x, k_0)*F_192(x, k_0)*F_27(x, k_0))
Eq(F_192(x, k_0), F_193(x, k_0) + F_8(x, k_0))
Eq(F_193(x, k_0), F_27(x, k_0)*F_73(x, k_0))
Eq(F_194(x, k_0), F_195(x, k_0))
Eq(F_195(x, k_0), F_14(x, k_0)*F_196(x)*F_83(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_4(x))
Eq(F_198(x), F_199(x) + F_206(x))
Eq(F_199(x), F_1(x) + F_200(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_202(x)*F_4(x))
Eq(F_202(x), F_199(x) + F_203(x))
Eq(F_203(x), F_204(x) + F_4(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_200(x)*F_4(x))
Eq(F_206(x), F_207(x) + F_209(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_186(x)*F_4(x))
Eq(F_209(x), F_210(x) + F_217(x) + F_30(x))
Eq(F_210(x), F_211(x)*F_4(x))
Eq(F_211(x), F_212(x) + F_213(x))
Eq(F_212(x), F_200(x) + F_204(x))
Eq(F_213(x), F_214(x) + F_221(x))
Eq(F_214(x), F_215(x) + F_217(x) + F_30(x))
Eq(F_215(x), F_216(x)*F_4(x))
Eq(F_216(x), F_200(x) + F_214(x))
Eq(F_217(x), F_218(x)*F_4(x))
Eq(F_218(x), F_219(x) + F_220(x))
Eq(F_219(x), F_214(x) + F_84(x))
Eq(F_220(x), F_180(x) + F_221(x))
Eq(F_221(x), F_222(x) + F_224(x) + 2*F_30(x))
Eq(F_222(x), F_223(x)*F_4(x))
Eq(F_223(x), F_204(x) + F_221(x))
Eq(F_224(x), F_214(x)*F_4(x))
Eq(F_226(x, k_0), (k_0*F_225(x, k_0) - F_225(x, 1))/(k_0 - 1))
Eq(F_227(x, k_0), F_226(x, k_0) + F_406(x, k_0))
Eq(F_228(x, k_0), F_227(x, k_0) + F_273(x, k_0))
Eq(F_229(x, k_0), F_228(x, k_0) + F_252(x, k_0))
Eq(F_230(x, k_0), F_229(x, k_0)*F_4(x))
Eq(F_230(x, k_0), F_231(x, k_0))
Eq(F_232(x, k_0), F_231(x, k_0) + F_243(x, k_0))
Eq(F_233(x, k_0), F_232(x, k_0) + F_240(x, k_0))
Eq(F_234(x, k_0), (k_0*F_233(x, k_0) - F_233(x, 1))/(k_0 - 1))
Eq(F_235(x, k_0), F_234(x, k_0) + F_238(x, k_0))
Eq(F_236(x, k_0), F_235(x, k_0)*F_4(x))
Eq(F_236(x, k_0), F_237(x, k_0))
Eq(F_237(x, k_0), F_70(x, 1, k_0))
Eq(F_238(x, k_0), F_14(x, k_0)*F_239(x, k_0))
Eq(F_239(x, k_0), F_152(x, k_0) + F_165(x, k_0))
Eq(F_240(x, k_0), F_152(x, k_0) + F_241(x, k_0))
Eq(F_241(x, k_0), F_242(x, k_0))
Eq(F_242(x, k_0), F_4(x)*F_66(x, k_0))
Eq(F_243(x, k_0), F_172(x, k_0) + F_244(x, k_0))
Eq(F_244(x, k_0), F_245(x, k_0))
Eq(F_245(x, k_0), F_246(x, k_0)*F_4(x))
Eq(F_246(x, k_0), F_243(x, k_0) + F_247(x, k_0))
Eq(F_247(x, k_0), F_248(x, k_0))
Eq(F_248(x, k_0), F_11(x, k_0)*F_249(x)*F_4(x))
Eq(F_249(x), -F_0(x) + F_250(x))
Eq(F_250(x), F_251(x)/F_4(x))
Eq(F_251(x), F_2(x))
Eq(F_252(x, k_0), F_14(x, k_0)*F_253(x, k_0))
Eq(F_253(x, k_0), F_254(x, k_0) + F_256(x, k_0))
Eq(F_254(x, k_0), F_255(x, k_0))
Eq(F_255(x, k_0), F_153(x, k_0)*F_83(x))
Eq(F_256(x, k_0), F_257(x, 1, k_0))
Eq(F_258(x, k_0, k_1), F_257(x, k_0, k_1) + F_271(x, k_0, k_1))
Eq(F_258(x, k_0, k_1), F_239(x, k_1) + F_259(x, k_0, k_1))
Eq(F_259(x, k_0, k_1), F_260(x, k_0, k_1))
Eq(F_260(x, k_0, k_1), F_14(x, k_0)*F_261(x, k_0, k_1))
Eq(F_261(x, k_0, k_1), F_262(x, k_1) + F_263(x, k_0, k_1))
Eq(F_262(x, k_0), F_159(x, 1, k_0))
Eq(F_263(x, k_0, k_1), F_264(x, k_0, k_1))
Eq(F_264(x, k_0, k_1), F_14(x, k_0)*F_265(x, k_0, k_1))
Eq(F_265(x, k_0, k_1), F_266(x, k_0, 1, k_1))
Eq(F_266(x, k_0, k_1, k_2), (-k_1*F_267(x, k_0, k_1, k_2) + F_267(x, k_0, 1, k_2))/(1 - k_1))
Eq(F_267(x, k_0, k_1, k_2), F_159(x, k_1, k_2) + F_268(x, k_0, k_1, k_2))
Eq(F_268(x, k_0, k_1, k_2), F_269(x, k_0, k_1, k_2))
Eq(F_269(x, k_0, k_1, k_2), F_14(x, k_0)*F_270(x, k_0, k_1, k_2))
Eq(F_270(x, k_0, k_1, k_2), (k_1*F_267(x, k_0, k_1, k_2) - F_267(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_271(x, k_0, k_1), F_272(x, k_0, k_1))
Eq(F_272(x, k_0, k_1), F_152(x, k_1)*F_27(x, k_0))
Eq(F_273(x, k_0), F_274(x, 1, k_0))
Eq(F_274(x, k_0, k_1), F_275(x, k_0, k_1))
Eq(F_275(x, k_0, k_1), F_276(x, k_0, k_1)*F_4(x))
Eq(F_277(x, k_0, k_1), F_276(x, k_1, k_0) + F_401(x, k_0))
Eq(F_278(x, k_0, k_1), F_14(x, k_1)*F_277(x, k_0, k_1))
Eq(F_278(x, k_0, k_1), F_279(x, k_1, k_0))
Eq(F_279(x, k_0, k_1), F_280(x, k_0, k_1) + F_398(x, k_0, k_1))
Eq(F_280(x, k_0, k_1), F_281(x, k_0, k_1) + F_288(x, k_0, k_1))
Eq(F_281(x, k_0, k_1), F_282(x, k_0, k_1))
Eq(F_282(x, k_0, k_1), F_14(x, k_0)*F_283(x, k_0, k_1))
Eq(F_283(x, k_0, k_1), F_284(x, k_0, k_1) + F_285(x, k_0, k_1))
Eq(F_284(x, k_0, k_1), (k_0*F_67(x, k_0, k_1) - F_67(x, 1, k_1))/(k_0 - 1))
Eq(F_285(x, k_0, k_1), F_286(x, k_0, k_1))
Eq(F_286(x, k_0, k_1), F_14(x, k_1)*F_287(x, k_0, k_1))
Eq(F_287(x, k_0, k_1), (k_0*F_168(x, k_0, k_1) - F_168(x, 1, k_1))/(k_0 - 1))
Eq(F_288(x, k_0, k_1), F_289(x, k_0, k_1))
Eq(F_289(x, k_0, k_1), F_290(x, k_0, k_1)*F_4(x))
Eq(F_290(x, k_0, k_1), -F_291(x, 1, k_1) + (k_0*F_291(x, k_0, k_1) - F_291(x, 1, k_1))/(k_0 - 1))
Eq(F_291(x, k_0, k_1), -F_292(x, k_1) + (-k_0*F_292(x, k_0) + k_1*F_292(x, k_1))/(-k_0 + k_1))
Eq(F_292(x, k_0), F_293(x, k_0) + F_397(x, k_0))
Eq(F_293(x, k_0), F_294(x, k_0) + F_295(x, k_0))
Eq(F_294(x, k_0), F_12(x, k_0)*F_83(x))
Eq(F_295(x, k_0), F_296(x, k_0))
Eq(F_296(x, k_0), F_297(x, k_0)*F_4(x)*F_83(x))
Eq(F_297(x, k_0), F_298(x, k_0) + F_303(x, k_0))
Eq(F_299(x, k_0), F_298(x, k_0) + F_312(x))
Eq(F_300(x, k_0), F_299(x, k_0) + F_303(x, k_0))
Eq(F_301(x, k_0), F_300(x, k_0)*F_4(x)*F_5(x))
Eq(F_301(x, k_0), F_302(x, k_0))
Eq(F_302(x, k_0), F_162(x, 1, k_0))
Eq(F_303(x, k_0), F_304(x, k_0) + F_308(x, k_0))
Eq(F_305(x, k_0), F_304(x, k_0) + F_307(x, k_0))
Eq(F_306(x, k_0), F_305(x, k_0)*F_4(x))
Eq(F_306(x, k_0), F_154(x, k_0))
Eq(F_240(x, k_0), F_250(x) + F_307(x, k_0))
Eq(F_308(x, k_0), F_309(x, 1, k_0))
Eq(F_309(x, k_0, k_1), k_1*F_310(x, k_0, k_1))
Eq(F_310(x, k_0, k_1), F_311(x, k_0, k_1))
Eq(F_311(x, k_0, k_1), F_259(x, k_0, k_1)*F_4(x))
Eq(F_312(x), F_313(x) + F_387(x))
Eq(F_313(x), F_0(x) + F_314(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_316(x)*F_4(x))
Eq(F_316(x), F_313(x) + F_317(x))
Eq(F_317(x), F_318(x))
Eq(F_318(x), F_319(x)*F_4(x))
Eq(F_319(x), F_320(x) + F_321(x))
Eq(F_320(x), F_299(x, 1))
Eq(F_321(x), F_322(x, 1))
Eq(F_323(x, k_0), F_322(x, k_0) + F_370(x, k_0))
Eq(F_324(x, k_0), F_14(x, k_0)*F_323(x, k_0))
Eq(F_324(x, k_0), F_325(x, k_0))
Eq(F_325(x, k_0), F_326(x, k_0) + F_330(x, k_0))
Eq(F_326(x, k_0), F_327(x, k_0) + F_7(x, k_0))
Eq(F_327(x, k_0), F_328(x, k_0))
Eq(F_328(x, k_0), F_329(x, k_0)*F_4(x))
Eq(F_329(x, k_0), -F_325(x, 1) + (k_0*F_325(x, k_0) - F_325(x, 1))/(k_0 - 1))
Eq(F_330(x, k_0), k_0*F_331(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x)*F_4(x)**2)
Eq(F_333(x), F_334(x) + F_368(x))
Eq(F_334(x), F_335(x) + F_340(x))
Eq(F_335(x), F_336(x) + F_5(x))
Eq(F_336(x), F_337(x) - F_340(x))
Eq(F_337(x), F_338(x)/F_4(x))
Eq(F_338(x), F_339(x))
Eq(F_339(x), -F_2(x) + F_249(x))
Eq(F_340(x), F_341(x) + F_342(x))
Eq(F_341(x), F_326(x, 1))
Eq(F_342(x), F_343(x))
Eq(F_343(x), F_344(x)*F_4(x))
Eq(F_344(x), F_345(x) + F_367(x))
Eq(F_345(x), F_346(x))
Eq(F_346(x), F_347(x, 1))
Eq(F_347(x, k_0), F_348(x, k_0))
Eq(F_348(x, k_0), F_349(x, k_0)*F_4(x))
Eq(F_349(x, k_0), F_350(x, k_0) + F_365(x, k_0))
Eq(F_350(x, k_0), F_351(x) + F_361(x, k_0))
Eq(F_351(x), F_352(x, 1))
Eq(F_352(x, k_0), F_161(x, k_0) + F_353(x, k_0))
Eq(F_353(x, k_0), F_354(x, k_0))
Eq(F_354(x, k_0), F_355(x, k_0)*F_4(x))
Eq(F_355(x, k_0), F_356(x, 1, k_0))
Eq(F_356(x, k_0, k_1), F_352(x, k_1) + F_357(x, k_0, k_1))
Eq(F_357(x, k_0, k_1), F_358(x, k_0, k_1))
Eq(F_358(x, k_0, k_1), F_359(x, k_0)*F_360(x, k_0, k_1))
Eq(F_359(x, k_0), k_0*x)
Eq(F_360(x, k_0, k_1), (k_1*F_356(x, k_0, k_1) - F_356(x, k_0, 1))/(k_1 - 1))
Eq(F_361(x, k_0), F_362(x, k_0))
Eq(F_362(x, k_0), F_359(x, k_0)*F_363(x, k_0))
Eq(F_363(x, k_0), F_364(x, k_0, 1))
Eq(F_364(x, k_0, k_1), (-k_1*F_356(x, k_0, k_1) + F_356(x, k_0, 1))/(1 - k_1))
Eq(F_365(x, k_0), F_366(x, k_0))
Eq(F_366(x, k_0), F_312(x)*F_350(x, k_0)*F_4(x))
Eq(F_367(x), F_333(x)*F_4(x))
Eq(F_368(x), F_369(x))
Eq(F_369(x), F_312(x)*F_334(x)*F_4(x))
Eq(F_370(x, k_0), F_371(x, k_0) + F_385(x))
Eq(F_371(x, k_0), F_298(x, k_0) + F_372(x))
Eq(F_372(x), F_250(x) + F_373(x))
Eq(F_373(x), F_374(x) - F_376(x))
Eq(F_374(x), F_375(x)/F_4(x))
Eq(F_375(x), F_339(x))
Eq(F_376(x), F_377(x))
Eq(F_377(x), F_378(x)*F_4(x))
Eq(F_378(x), F_379(x) + F_381(x))
Eq(F_379(x), F_380(x)/F_4(x))
Eq(F_380(x), F_336(x))
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_383(x, 1))
Eq(F_383(x, k_0), F_384(x, k_0))
Eq(F_384(x, k_0), F_14(x, k_0)*F_349(x, k_0))
Eq(F_385(x), F_386(x))
Eq(F_386(x), F_333(x)*F_4(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_249(x) + F_389(x))
Eq(F_389(x), F_373(x) - F_390(x))
Eq(F_390(x), F_391(x))
Eq(F_391(x), F_392(x)*F_4(x))
Eq(F_392(x), F_317(x) + F_393(x))
Eq(F_393(x), F_394(x) + F_395(x))
Eq(F_394(x), F_0(x) + F_390(x))
Eq(F_395(x), F_396(x))
Eq(F_396(x), F_333(x)*F_4(x))
Eq(F_169(x, k_0), F_317(x) + F_397(x, k_0))
Eq(F_398(x, k_0, k_1), F_399(x, k_0, k_1))
Eq(F_399(x, k_0, k_1), F_4(x)*F_400(x, k_0, k_1))
Eq(F_400(x, k_0, k_1), -F_279(x, 1, k_1) + (k_0*F_279(x, k_0, k_1) - F_279(x, 1, k_1))/(k_0 - 1))
Eq(F_401(x, k_0), F_402(x, k_0))
Eq(F_402(x, k_0), F_14(x, k_0)*F_403(x, k_0))
Eq(F_403(x, k_0), F_404(x, 1, k_0))
Eq(F_405(x, k_0, k_1), F_4(x)*F_404(x, k_0, k_1))
Eq(F_405(x, k_0, k_1), F_257(x, k_0, k_1))
Eq(F_406(x, k_0), F_163(x, k_0) + F_407(x, k_0))
Eq(F_407(x, k_0), -F_295(x, k_0) + (k_0*F_295(x, k_0) - F_295(x, 1))/(k_0 - 1))
Eq(F_408(x, k_0), F_11(x, k_0)*F_2(x))
Eq(F_409(x, k_0, k_1), F_410(x, k_0, k_1))
Eq(F_410(x, k_0, k_1), F_300(x, k_1)*F_4(x)*F_7(x, k_0))
Eq(F_411(x, k_0), F_412(x, k_0))
Eq(F_412(x, k_0), F_14(x, k_0)*F_167(x, k_0))
Eq(F_413(x, k_0, k_1), F_414(x, k_0, k_1))
Eq(F_414(x, k_0, k_1), F_14(x, k_0)*F_415(x, k_0, k_1))
Eq(F_415(x, k_0, k_1), (-k_0*F_416(x, k_0, 1) + k_1*F_416(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_416(x, k_0, k_1), F_417(x, k_0, k_0*k_1))
Eq(F_417(x, k_0, k_1), F_418(x, k_0, k_1) + F_60(x, k_0, k_1))
Eq(F_418(x, k_0, k_1), F_419(x, k_0, k_1))
Eq(F_419(x, k_0, k_1), F_420(x, k_0)*F_62(x, k_1))
Eq(F_420(x, k_0), F_421(x, k_0) + F_8(x, k_0))
Eq(F_421(x, k_0), F_30(x) + F_422(x, k_0) + F_99(x, k_0))
Eq(F_422(x, k_0), F_14(x, k_0)*F_423(x, k_0))
Eq(F_423(x, k_0), F_25(x, k_0))
Eq(F_424(x, k_0, k_1), F_62(x, k_1)*F_74(x, k_0, k_1))
Pack JSON:
{"name": "point_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, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [1, 2, 4, 0, 3], [1, 3, 4, 0, 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}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [1, 2, 4, 0, 3], [1, 3, 4, 0, 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, 2, 3], "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, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 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": 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