02341_02413_02431_04123_04213_04231_40123_40213_40231
Counting sequence:
1, 1, 2, 6, 24, 111, 546, 2754, 14059, 72335, 374530, 1949715, 10196592, 53533208, 281970484, 1489260388, 7883899292, 41818341286, 222191494422, 1182290462881, 6299052849417, 33597904926928, 179381352090813, 958564780850172, 5126284663753968, 27433730659188746, 146905004930651333, 787101262276481820, 4219325828873454385, 22628355873304160794, 121406497845486709550, 651618628974024421044, 3498590732024090660716, 18790049345856746379188, 100945332717968734997376, 542447514733175067439496, 2915634116949145215807861, 15674862093758392592880265, 84287318838757929871214383, 453316654794973302471832393, 2438460897192371232039984853, 13118945504801322273814044747, 70590442941529835833392710468, 379884891083997143315922160624, 2044621696176165526040212040778, 11005880657238260558974288756095, 59249394052488612341948684725722, 318997289471906514786838589517055, 1717635441741013184516071051260513, 9249390391932011787110384018631423, 49811631097132397925166159496465246, 268275843705554980915071175454358215, 1444984969025699479852338173296267935, 7783483517845299018419788177254888390, 41928732062171509374638232480768049065, 225878421647769205745418154454336311087, 1216918347379042916420200568960138116329, 6556473548443464787133452219229987411475, 35326448206987142179137963955835199800910, 190348355096234950431614234696492731684585, 1025691057312000069566374814813420876330591, 5527149044044038182014698316574713377421465, 29785294851782350748235649963820615263581841, 160515796523318258531510832072815049375796555, 865063305881948613589482518263602881746576694, 4662205282632575266775413079921401554050157582, 25127396343230009361231843988117093053387574652, 135430176173415058859862710846378154810545852830, 729952430527501343316327458688788581558629763105, 3934451427631742435478908076642081602016833670285, 21207219113076519896067078128992924061331427172308, 114312203448321763500326333981145856371821987989847, 616183795073409854560318583967170431917876237100079, 3321515266782349425583759409475953325899552442713946, 17904824466612168991960613705418145711023998339476436, 96518658353400806345891763958869966493434909336917103, 520306756508763770864977059425415416315715742610169535, 2804879745677425312602101177203402780608263888591283656, 15120816873744200361827419301144603356189540169405349450, 81515865528039269174326651024478282390660499977563385856, 439455186818285520524462700216645634239296052399471566431, 2369148597744022278375333198305568393927052234860602302778, 12772472551481318250901378655464385752767079114331324522198, 68859260638594851840602468669255384842894740473224163297943, 371239500136271910207798965213733063822543115128761373633283, 2001475189185766955406687259189241012467720739508639188474586, 10790715059259756651269010919547662211871264551127687991267685, 58177359787007074436303199558415043138431740144370680234173613, 313661605302505456124303702884893923997854218899846679251800584, 1691110918604125188789277715948330456417357190504221401442399272, 9117715312572526592869540151047165317335675324251046152722446174, 49158994954377595847197982822002789474639881246698534452963282782, 265046965626573505989472772344232298804712257256467286397538047349, 1429043344579295759340222956528165829958523893052666979431476213568, 7704962838931053616234797051209967703100827957236802953564484843816, 41543027474418997596249047478029593610849305317471875178199757295743, 223989705114829017458511308966129840032725381070998581945118953359719, 1207703080507338715484166577095633338591958335037510679999905294250632, 6511699904977119871946020079716858776205714161296360796802964813911783, 35109978341474565904525633784680088194912835639635241384783570213314162, 189307850506098328131533950549646651885175011688415303084181986376546400
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24619/
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[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[12,x]*F[7,x]
F[7,x] = F[73,x]+F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[0,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[7,x]
F[12,x] = x
F[13,x] = F[14,x]+F[32,x]
F[14,x] = F[0,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[12,x]*F[17,x]
F[17,x] = F[18,x]+F[19,x]
F[18,x] = F[1,x]+F[12,x]
F[19,x] = F[20,x]+F[23,x]
F[20,x] = F[21,x]
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[1,x]+F[20,x]
F[23,x] = F[24,x]+F[25,x]+F[31,x]
F[24,x] = 0
F[25,x] = F[12,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[12,x]+F[28,x]
F[28,x] = F[24,x]+F[29,x]+F[30,x]
F[29,x] = F[12,x]*F[20,x]
F[30,x] = F[12,x]*F[27,x]
F[31,x] = F[12,x]*F[20,x]
F[32,x] = F[33,x]
F[33,x] = F[12,x]*F[34,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[15,x]*F[7,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x,1]
F[38,x,k[0]] = F[39,x]*F[56,x,k[0]]
F[39,x] = F[40,x]+F[53,x]
F[40,x] = F[0,x]+F[41,x]
F[41,x] = F[2,x]*F[42,x]
F[42,x] = F[1,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[12,x]*F[45,x]
F[45,x] = F[18,x]+F[46,x]
F[46,x] = F[43,x]+F[47,x]
F[47,x] = F[24,x]+F[48,x]+F[52,x]
F[48,x] = F[12,x]*F[49,x]
F[49,x] = F[50,x]+F[51,x]
F[50,x] = F[12,x]
F[51,x] = F[47,x]
F[52,x] = F[12,x]*F[43,x]
F[53,x] = F[10,x]+F[54,x]
F[54,x] = F[2,x]*F[55,x]
F[55,x] = F[12,x]+F[47,x]
F[56,x,k[0]] = F[15,x]+F[57,x,k[0]]
F[57,x,k[0]] = F[24,x]+F[58,x,k[0]]+F[64,x,k[0]]
F[58,x,k[0]] = F[12,x]*F[59,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]+F[62,x,k[0]]
F[60,x,k[0]] = F[61,x,k[0]]
F[61,x,k[0]] = k[0]*x
F[62,x,k[0]] = F[63,x,k[0]]
F[63,x,k[0]] = F[58,x,k[0]]
F[64,x,k[0]] = F[61,x,k[0]]*F[65,x,k[0]]
F[65,x,k[0]] = F[66,x,k[0]]+F[67,x,k[0]]
F[66,x,k[0]] = F[15,x]+F[63,x,k[0]]
F[67,x,k[0]] = F[57,x,k[0]]+F[68,x,k[0]]
F[68,x,k[0]] = F[69,x,k[0]]
F[69,x,k[0]] = F[61,x,k[0]]*F[70,x,k[0]]
F[70,x,k[0]] = F[71,x,k[0]]+F[72,x,k[0]]
F[71,x,k[0]] = F[63,x,k[0]]
F[72,x,k[0]] = F[68,x,k[0]]
F[73,x] = F[405,x]+F[74,x]
F[74,x] = F[75,x,1]
F[75,x,k[0]] = F[76,x,k[0]]+F[91,x,k[0]]
F[76,x,k[0]] = F[2,x]+F[77,x,k[0]]
F[77,x,k[0]] = F[78,x,k[0]]
F[78,x,k[0]] = F[61,x,k[0]]*F[79,x,k[0]]
F[79,x,k[0]] = F[76,x,k[0]]+F[80,x,k[0]]
F[80,x,k[0]] = F[102,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]+F[91,x,k[0]]
F[82,x,k[0]] = F[2,x]*F[83,x,k[0]]
F[83,x,k[0]] = F[1,x]+F[84,x,k[0]]
F[84,x,k[0]] = F[85,x,k[0]]
F[85,x,k[0]] = F[61,x,k[0]]*F[86,x,k[0]]
F[86,x,k[0]] = F[87,x,k[0]]+F[90,x,k[0]]
F[87,x,k[0]] = F[1,x]+F[88,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]
F[89,x,k[0]] = F[61,x,k[0]]*F[87,x,k[0]]
F[90,x,k[0]] = F[85,x,k[0]]
F[91,x,k[0]] = F[92,x,k[0]]
F[92,x,k[0]] = F[12,x]*F[93,x,k[0]]
F[93,x,k[0]] = F[94,x,k[0]]+F[95,x,k[0]]
F[94,x,k[0]] = F[4,x]*F[56,x,k[0]]
F[95,x,k[0]] = 1/(-1+k[0])*(F[96,x,k[0]]*k[0]-F[96,x,1])
F[96,x,k[0]] = F[75,x,k[0]]+F[97,x,k[0]]
F[97,x,k[0]] = F[98,x,k[0]]
F[98,x,k[0]] = F[12,x]*F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]+F[101,x,k[0]]
F[100,x,k[0]] = F[38,x,k[0]]
F[101,x,k[0]] = F[95,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]*F[61,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]+F[106,x,k[0]]
F[105,x,k[0]] = F[2,x]*F[87,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]+F[120,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]+F[2,x]
F[108,x,k[0]] = F[109,x,k[0]]
F[109,x,k[0]] = F[110,x,k[0]]*F[61,x,k[0]]
F[110,x,k[0]] = F[107,x,k[0]]+F[111,x,k[0]]
F[112,x,k[0]] = 1/(-1+k[0])*(F[111,x,k[0]]*k[0]-F[111,x,1])
F[113,x,k[0]] = F[112,x,k[0]]+F[401,x,k[0]]
F[114,x,k[0]] = F[113,x,k[0]]+F[356,x,k[0]]
F[115,x,k[0]] = F[114,x,k[0]]*F[61,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]*F[61,x,k[0]]
F[118,x,k[0]] = F[117,x,k[0]]*F[12,x]
F[118,x,k[0]] = F[119,x,k[0]]
F[119,x,k[0]] = F[105,x,k[0]]+F[120,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]
F[121,x,k[0]] = F[12,x]*F[122,x,k[0]]
F[122,x,k[0]] = F[123,x,k[0]]+F[147,x,k[0]]
F[123,x,k[0]] = F[124,x,k[0]]
F[124,x,k[0]] = F[125,x,k[0]]*F[15,x]*F[87,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]+F[4,x]
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]*F[61,x,k[0]]
F[128,x,k[0]] = F[125,x,k[0]]+F[129,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]*F[2,x]*F[22,x]
F[131,x,k[0]] = F[132,x,k[0]]+F[87,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]+F[43,x]
F[133,x,k[0]] = F[134,x,k[0]]+F[146,x,k[0]]+F[24,x]
F[134,x,k[0]] = F[12,x]*F[135,x,k[0]]
F[135,x,k[0]] = F[136,x,k[0]]+F[139,x,k[0]]
F[136,x,k[0]] = F[137,x,k[0]]+F[88,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]
F[138,x,k[0]] = F[12,x]*F[88,x,k[0]]
F[139,x,k[0]] = F[133,x,k[0]]+F[140,x,k[0]]
F[140,x,k[0]] = 2*F[24,x]+F[141,x,k[0]]+F[145,x,k[0]]
F[141,x,k[0]] = F[12,x]*F[142,x,k[0]]
F[142,x,k[0]] = F[143,x,k[0]]+F[144,x,k[0]]
F[143,x,k[0]] = F[137,x,k[0]]
F[144,x,k[0]] = F[140,x,k[0]]
F[145,x,k[0]] = F[12,x]*F[133,x,k[0]]
F[146,x,k[0]] = F[132,x,k[0]]*F[61,x,k[0]]
F[147,x,k[0]] = F[148,x,1,k[0]]
F[148,x,k[0],k[1]] = F[149,x,k[1]]+F[354,x,k[0],k[1]]
F[149,x,k[0]] = F[150,x,k[0]]
F[150,x,k[0]] = F[12,x]*F[151,x,k[0]]*F[87,x,k[0]]
F[152,x,k[0]] = F[12,x]*F[151,x,k[0]]
F[152,x,k[0]] = F[153,x,k[0]]
F[153,x,k[0]] = F[119,x,k[0]]+F[154,x,k[0]]
F[154,x,k[0]] = F[155,x,k[0]]
F[155,x,k[0]] = F[12,x]*F[156,x,k[0]]
F[156,x,k[0]] = F[157,x,k[0]]+F[173,x,k[0]]
F[157,x,k[0]] = F[158,x,k[0]]
F[158,x,k[0]] = F[15,x]*F[159,x,k[0]]
F[159,x,k[0]] = F[160,x,k[0]]+F[167,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]
F[161,x,k[0]] = F[162,x,k[0]]+F[165,x,k[0]]
F[162,x,k[0]] = F[163,x,k[0]]+F[87,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[12,x]*F[125,x,k[0]]*F[87,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[166,x,k[0]] = F[12,x]*F[159,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]*F[53,x]
F[169,x,k[0]] = F[1,x]+F[170,x,k[0]]
F[170,x,k[0]] = F[171,x,k[0]]
F[171,x,k[0]] = F[169,x,k[0]]*F[172,x,k[0]]
F[172,x,k[0]] = k[0]*x
F[173,x,k[0]] = F[174,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]+F[346,x,k[0]]
F[175,x,k[0]] = F[176,x,1,k[0]]
F[176,x,k[0],k[1]] = F[119,x,k[1]]+F[177,x,k[0],k[1]]
F[178,x,k[0],k[1]] = F[177,x,k[0],k[1]]+F[345,x,k[0],k[1]]
F[178,x,k[0],k[1]] = F[179,x,k[0],k[1]]+F[181,x,k[0],k[1]]
F[179,x,k[0],k[1]] = F[180,x,k[0]]*F[87,x,k[1]]
F[180,x,k[0]] = F[77,x,k[0]]+F[84,x,k[0]]
F[181,x,k[0],k[1]] = F[182,x,k[0],k[1]]
F[182,x,k[0],k[1]] = F[12,x]*F[183,x,k[0],k[1]]*F[87,x,k[1]]
F[183,x,k[0],k[1]] = -k[0]*(F[184,x,1,k[1]]-F[184,x,k[0],k[1]])/(-1+k[0])
F[184,x,k[0],k[1]] = F[185,x,k[0],k[1]]+F[186,x,k[0],k[1]]
F[185,x,k[0],k[1]] = F[125,x,k[1]]*F[84,x,k[0]]
F[186,x,k[0],k[1]] = F[187,x,k[0],k[1]]
F[188,x,k[0],k[1]] = F[153,x,k[1]]+F[187,x,k[0],k[1]]
F[188,x,k[0],k[1]] = F[189,x,k[0],k[1]]
F[189,x,k[0],k[1]] = F[12,x]*F[190,x,k[0],k[1]]
F[190,x,k[0],k[1]] = F[191,x,k[0],k[1]]+F[313,x,k[0],k[1]]
F[192,x,k[0],k[1]] = F[191,x,k[0],k[1]]*F[61,x,k[1]]
F[192,x,k[0],k[1]] = F[193,x,k[0],k[1]]
F[193,x,k[0],k[1]] = F[194,x,k[0],k[1]]+F[292,x,k[0],k[1]]
F[194,x,k[0],k[1]] = F[195,x,k[1],k[0]]
F[195,x,k[0],k[1]] = F[196,x,k[0],k[1]]+F[282,x,k[0],k[1]]
F[196,x,k[0],k[1]] = F[197,x,k[1],k[0]]
F[197,x,k[0],k[1]] = F[198,x,k[0],k[1]]*F[61,x,k[1]]
F[199,x,k[0],k[1]] = F[198,x,k[0],k[1]]+F[201,x,k[0],k[1]]
F[200,x,k[0],k[1]] = F[12,x]*F[199,x,k[0],k[1]]
F[200,x,k[0],k[1]] = F[176,x,k[0],k[1]]
F[201,x,k[0],k[1]] = F[202,x,k[0],k[1]]
F[202,x,k[0],k[1]] = F[203,x,k[0],k[1]]+F[238,x,k[0],k[1]]
F[203,x,k[0],k[1]] = F[204,x,k[1]]*F[87,x,k[0]]
F[205,x,k[0]] = F[204,x,k[0]]+F[207,x,k[0]]
F[206,x,k[0]] = F[12,x]*F[205,x,k[0]]
F[206,x,k[0]] = F[120,x,k[0]]
F[207,x,k[0]] = F[208,x,k[0]]
F[209,x,k[0]] = F[208,x,k[0]]+F[237,x,k[0]]
F[209,x,k[0]] = F[210,x,k[0]]
F[211,x,k[0]] = F[210,x,k[0]]*F[61,x,k[0]]
F[211,x,k[0]] = F[212,x,k[0]]
F[212,x,k[0]] = F[213,x,k[0]]
F[213,x,k[0]] = F[214,x,k[0]]*F[61,x,k[0]]
F[214,x,k[0]] = F[215,x,1,k[0]]
F[215,x,k[0],k[1]] = F[216,x,k[0]]+F[234,x,k[0],k[1]]
F[216,x,k[0]] = F[217,x]+F[219,x,k[0]]
F[217,x] = 1/F[12,x]*F[218,x]
F[218,x] = F[2,x]
F[219,x,k[0]] = F[220,x,k[0]]
F[220,x,k[0]] = k[0]*F[221,x,k[0]]
F[221,x,k[0]] = F[12,x]*F[222,x,k[0]]
F[222,x,k[0]] = F[223,x,k[0],1]
F[223,x,k[0],k[1]] = F[224,x,k[0],k[1]]+F[231,x,k[0],k[1]]
F[224,x,k[0],k[1]] = F[225,x,k[1]]+F[227,x,k[0],k[1]]
F[226,x,k[0]] = F[12,x]*F[225,x,k[0]]
F[226,x,k[0]] = F[76,x,k[0]]
F[227,x,k[0],k[1]] = F[228,x,k[0],k[1]]
F[228,x,k[0],k[1]] = 1/(-1+k[1])*(F[229,x,k[0],k[1]]*k[1]-F[229,x,k[0],1])
F[229,x,k[0],k[1]] = k[0]*F[230,x,k[0],k[1]]
F[230,x,k[0],k[1]] = F[12,x]*F[223,x,k[0],k[1]]
F[231,x,k[0],k[1]] = F[232,x,k[0],k[1]]
F[232,x,k[0],k[1]] = F[12,x]*F[233,x,k[0],k[1]]
F[233,x,k[0],k[1]] = 1/(-1+k[1])*(F[223,x,k[0],k[1]]*k[1]-F[223,x,k[0],1])
F[234,x,k[0],k[1]] = F[235,x,k[0],k[1]]
F[235,x,k[0],k[1]] = F[236,x,k[0],k[1]]*F[61,x,k[1]]
F[236,x,k[0],k[1]] = (F[215,x,k[0],k[1]]*k[0]-F[215,x,1,k[1]])/(-1+k[0])
F[237,x,k[0]] = F[169,x,k[0]]*F[217,x]
F[238,x,k[0],k[1]] = F[239,x,k[1]]*F[288,x,k[0]]
F[240,x,k[0]] = F[239,x,k[0]]*F[26,x]
F[241,x,k[0]] = F[240,x,k[0]]+F[287,x,k[0]]
F[241,x,k[0]] = F[242,x,k[0]]
F[243,x,k[0]] = F[242,x,k[0]]+F[265,x,k[0]]
F[244,x,k[0]] = F[12,x]*F[243,x,k[0]]
F[244,x,k[0]] = F[245,x,k[0]]
F[245,x,k[0]] = F[12,x]*F[246,x,k[0]]
F[246,x,k[0]] = F[247,x,k[0]]+F[263,x,k[0]]
F[247,x,k[0]] = F[248,x,k[0]]
F[248,x,k[0]] = F[125,x,k[0]]*F[249,x]*F[87,x,k[0]]
F[249,x] = F[15,x]+F[250,x]
F[250,x] = F[24,x]+F[251,x]+F[255,x]
F[251,x] = F[12,x]*F[252,x]
F[252,x] = F[253,x]+F[50,x]
F[253,x] = F[254,x]
F[254,x] = F[251,x]
F[255,x] = F[12,x]*F[256,x]
F[256,x] = F[257,x]+F[258,x]
F[257,x] = F[15,x]+F[254,x]
F[258,x] = F[250,x]+F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[12,x]*F[261,x]
F[261,x] = F[253,x]+F[262,x]
F[262,x] = F[259,x]
F[263,x,k[0]] = F[264,x,1,k[0]]
F[264,x,k[0],k[1]] = (F[148,x,k[0],k[1]]*k[0]-F[148,x,1,k[1]])/(-1+k[0])
F[265,x,k[0]] = F[266,x,k[0]]
F[267,x,k[0]] = F[266,x,k[0]]+F[285,x,k[0]]
F[267,x,k[0]] = F[268,x,k[0]]
F[269,x,k[0]] = F[268,x,k[0]]*F[61,x,k[0]]
F[269,x,k[0]] = F[270,x,k[0]]
F[271,x,k[0]] = F[270,x,k[0]]+F[278,x,k[0]]
F[271,x,k[0]] = F[272,x,k[0]]
F[272,x,k[0]] = F[172,x,k[0]]*F[273,x,k[0]]
F[273,x,k[0]] = F[274,x,k[0]]
F[275,x,k[0]] = F[12,x]*F[274,x,k[0]]
F[275,x,k[0]] = F[276,x,k[0]]
F[214,x,k[0]] = F[276,x,k[0]]+F[277,x,k[0]]
F[277,x,k[0]] = F[212,x,k[0]]+F[217,x]
F[278,x,k[0]] = F[279,x,k[0]]
F[279,x,k[0]] = F[280,x,1,k[0]]
F[280,x,k[0],k[1]] = F[281,x,k[0],k[0]*k[1]]
F[281,x,k[0],k[1]] = F[282,x,k[1],k[0]]
F[282,x,k[0],k[1]] = F[283,x,k[0],k[1]]
F[283,x,k[0],k[1]] = F[12,x]*F[284,x,k[0],k[1]]
F[284,x,k[0],k[1]] = 1/(-1+k[1])*(F[195,x,k[0],k[1]]*k[1]-F[195,x,k[0],1])
F[285,x,k[0]] = F[169,x,k[0]]*F[286,x]
F[286,x] = F[225,x,1]
F[287,x,k[0]] = F[204,x,k[0]]*F[22,x]
F[288,x,k[0]] = F[289,x,k[0]]+F[61,x,k[0]]
F[289,x,k[0]] = F[24,x]+F[290,x,k[0]]+F[291,x,k[0]]
F[290,x,k[0]] = F[288,x,k[0]]*F[61,x,k[0]]
F[291,x,k[0]] = F[61,x,k[0]]*F[88,x,k[0]]
F[292,x,k[0],k[1]] = F[293,x,k[0],k[1]]
F[293,x,k[0],k[1]] = F[2,x]*F[294,x,k[0]]*F[88,x,k[1]]
F[294,x,k[0]] = F[295,x,k[0]]+F[305,x,k[0]]
F[295,x,k[0]] = F[296,x]*F[302,x,k[0]]
F[296,x] = F[22,x]+F[297,x]
F[297,x] = F[20,x]+F[298,x]
F[298,x] = F[24,x]+F[299,x]+F[301,x]
F[299,x] = F[12,x]*F[300,x]
F[300,x] = F[20,x]+F[298,x]
F[301,x] = F[12,x]*F[297,x]
F[302,x,k[0]] = F[303,x,k[0]]+F[304,x,k[0]]
F[303,x,k[0]] = F[1,x]+F[61,x,k[0]]
F[304,x,k[0]] = F[289,x,k[0]]+F[88,x,k[0]]
F[305,x,k[0]] = F[306,x]*F[87,x,k[0]]
F[306,x] = F[26,x]+F[307,x]
F[307,x] = F[23,x]+F[308,x]
F[308,x] = F[24,x]+F[309,x]+F[311,x]+F[312,x]
F[309,x] = F[12,x]*F[310,x]
F[310,x] = F[23,x]+F[308,x]
F[311,x] = F[12,x]*F[307,x]
F[312,x] = F[12,x]*F[298,x]
F[313,x,k[0],k[1]] = F[314,x,k[0],k[1]]
F[314,x,k[0],k[1]] = F[315,x,k[0],k[1]]+F[328,x,k[0],k[1]]
F[315,x,k[0],k[1]] = F[316,x,k[1]]*F[87,x,k[0]]
F[151,x,k[0]] = F[316,x,k[0]]+F[317,x,k[0]]
F[318,x,k[0]] = F[317,x,k[0]]*F[61,x,k[0]]
F[318,x,k[0]] = F[319,x,k[0]]
F[319,x,k[0]] = F[320,x,k[0]]+F[323,x,k[0]]
F[320,x,k[0]] = F[212,x,k[0]]+F[321,x,k[0]]
F[321,x,k[0]] = F[322,x,k[0]]
F[322,x,k[0]] = F[12,x]*F[271,x,k[0]]
F[323,x,k[0]] = F[324,x,k[0]]
F[324,x,k[0]] = F[2,x]*F[325,x]*F[88,x,k[0]]
F[325,x] = F[17,x]+F[326,x]
F[326,x] = F[19,x]+F[327,x]
F[327,x] = F[298,x]+F[308,x]
F[328,x,k[0],k[1]] = F[288,x,k[0]]*F[329,x,k[1]]
F[330,x,k[0]] = F[26,x]*F[329,x,k[0]]
F[331,x,k[0]] = F[330,x,k[0]]+F[344,x,k[0]]
F[331,x,k[0]] = F[332,x,k[0]]
F[333,x,k[0]] = F[332,x,k[0]]+F[342,x,k[0]]
F[334,x,k[0]] = F[12,x]^2*F[333,x,k[0]]*F[87,x,k[0]]
F[334,x,k[0]] = F[335,x,k[0]]
F[335,x,k[0]] = F[336,x,k[0]]+F[338,x,k[0]]
F[336,x,k[0]] = F[337,x,k[0]]
F[337,x,k[0]] = F[12,x]^2*F[151,x,k[0]]*F[87,x,k[0]]
F[338,x,k[0]] = F[339,x,k[0]]
F[339,x,k[0]] = F[12,x]*F[340,x,k[0]]*F[87,x,k[0]]
F[340,x,k[0]] = F[341,x,k[0]]
F[174,x,k[0]] = F[153,x,k[0]]+F[341,x,k[0]]
F[342,x,k[0]] = F[343,x,1,k[0]]
F[343,x,k[0],k[1]] = F[191,x,k[0],k[0]*k[1]]
F[344,x,k[0]] = F[22,x]*F[316,x,k[0]]
F[345,x,k[0],k[1]] = F[162,x,k[1]]*F[84,x,k[0]]
F[346,x,k[0]] = F[347,x,k[0]]
F[347,x,k[0]] = F[12,x]*F[348,x,k[0]]
F[348,x,k[0]] = F[349,x,k[0]]+F[351,x,k[0]]
F[349,x,k[0]] = F[350,x,k[0]]
F[350,x,k[0]] = F[159,x,k[0]]*F[249,x]
F[351,x,k[0]] = F[352,x,k[0],1]
F[352,x,k[0],k[1]] = (F[353,x,k[0],k[1]]*k[1]-F[353,x,k[0],1])/(-1+k[1])
F[353,x,k[0],k[1]] = F[188,x,k[1],k[0]]
F[354,x,k[0],k[1]] = F[355,x,k[0],k[1]]
F[355,x,k[0],k[1]] = F[186,x,k[0],k[1]]*F[87,x,k[1]]
F[356,x,k[0]] = F[357,x,k[0]]+F[399,x,k[0]]
F[357,x,k[0]] = F[358,x,k[0]]
F[358,x,k[0]] = F[359,x]+F[398,x,k[0]]
F[359,x] = F[0,x]+F[360,x]
F[360,x] = F[361,x]
F[361,x] = F[12,x]*F[362,x]
F[362,x] = F[363,x]+F[365,x]
F[363,x] = F[359,x]+F[364,x]
F[364,x] = F[111,x,1]
F[365,x] = F[366,x]
F[366,x] = F[12,x]*F[367,x]
F[367,x] = F[368,x,1]
F[368,x,k[0]] = F[369,x,k[0]]+F[378,x,k[0]]
F[369,x,k[0]] = F[370,x,k[0]]+F[374,x,k[0]]
F[370,x,k[0]] = F[356,x,k[0]]+F[371,x,k[0]]
F[371,x,k[0]] = F[372,x,k[0]]
F[372,x,k[0]] = F[12,x]*F[373,x,k[0]]
F[373,x,k[0]] = 1/(-1+k[0])*(F[370,x,k[0]]*k[0]-F[370,x,1])
F[374,x,k[0]] = F[113,x,k[0]]+F[375,x,k[0]]
F[375,x,k[0]] = F[376,x,k[0]]
F[376,x,k[0]] = F[12,x]*F[377,x,k[0]]
F[377,x,k[0]] = 1/(-1+k[0])*(F[374,x,k[0]]*k[0]-F[374,x,1])
F[378,x,k[0]] = F[379,x,k[0]]+F[395,x,k[0]]
F[379,x,k[0]] = 1/(-1+k[0])*(F[380,x,k[0]]*k[0]-F[380,x,1])
F[380,x,k[0]] = F[381,x,k[0]]
F[381,x,k[0]] = F[12,x]*F[382,x,k[0]]
F[382,x,k[0]] = F[383,x,k[0]]+F[389,x,k[0]]
F[383,x,k[0]] = F[384,x,k[0]]
F[384,x,k[0]] = F[385,x,1,k[0]]
F[385,x,k[0],k[1]] = F[386,x]*F[87,x,k[0]]*F[87,x,k[1]]
F[386,x] = F[387,x]+F[4,x]
F[387,x] = F[388,x]
F[388,x] = F[2,x]*F[22,x]*F[42,x]
F[389,x,k[0]] = F[390,x,k[0]]
F[391,x,k[0]] = F[390,x,k[0]]+F[393,x,k[0]]
F[392,x,k[0]] = F[12,x]*F[391,x,k[0]]
F[392,x,k[0]] = F[111,x,k[0]]
F[393,x,k[0]] = F[394,x,k[0]]
F[394,x,k[0]] = F[22,x]*F[4,x]*F[87,x,k[0]]
F[395,x,k[0]] = F[396,x,k[0]]
F[396,x,k[0]] = F[12,x]*F[397,x,k[0]]
F[397,x,k[0]] = 1/(-1+k[0])*(F[378,x,k[0]]*k[0]-F[378,x,1])
F[398,x,k[0]] = F[116,x,k[0]]
F[399,x,k[0]] = F[400,x,k[0]]
F[400,x,k[0]] = F[12,x]*F[373,x,k[0]]
F[401,x,k[0]] = F[402,x,k[0]]
F[402,x,k[0]] = F[12,x]*F[403,x,k[0]]
F[403,x,k[0]] = 1/(-1+k[0])*(F[404,x,k[0]]*k[0]-F[404,x,1])
F[404,x,k[0]] = F[374,x,k[0]]+F[378,x,k[0]]
F[405,x] = F[406,x]
F[406,x] = F[12,x]*F[407,x]
F[407,x] = F[101,x,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_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{73}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{32}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{12}\! \left(x \right) F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)
F_{18}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{23}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{25}\! \left(x \right)+F_{31}\! \left(x \right)
F_{24}\! \left(x \right) = 0
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{24}\! \left(x \right)+F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{30}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{31}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x , 1\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x \right) F_{56}\! \left(x , y\right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{53}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{2}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{1}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{12}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{18}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{43}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{24}\! \left(x \right)+F_{48}\! \left(x \right)+F_{52}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)
F_{50}\! \left(x \right) = F_{12}\! \left(x \right)
F_{51}\! \left(x \right) = F_{47}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)
F_{53}\! \left(x \right) = F_{10}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{2}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right)+F_{47}\! \left(x \right)
F_{56}\! \left(x , y\right) = F_{15}\! \left(x \right)+F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{24}\! \left(x \right)+F_{58}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = y x
F_{62}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{15}\! \left(x \right)+F_{63}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{68}\! \left(x , y\right)
F_{73}\! \left(x \right) = F_{405}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x , 1\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{76}\! \left(x , y\right)+F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{87}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{85}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{94}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{56}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = -\frac{-F_{96}\! \left(x , y\right) y +F_{96}\! \left(x , 1\right)}{-1+y}
F_{96}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{101}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{95}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{106}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{120}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{2}\! \left(x \right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{111}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = -\frac{-F_{111}\! \left(x , y\right) y +F_{111}\! \left(x , 1\right)}{-1+y}
F_{113}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{401}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{356}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{114}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{117}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{122}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{147}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{124}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right) F_{15}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{125}\! \left(x , y\right)+F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)+F_{146}\! \left(x , y\right)+F_{24}\! \left(x \right)
F_{134}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{135}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right)+F_{139}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{88}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{140}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = 2 F_{24}\! \left(x \right)+F_{141}\! \left(x , y\right)+F_{145}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{142}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)+F_{144}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{137}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{140}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{133}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{132}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{148}\! \left(x , 1, y\right)
F_{148}\! \left(x , y , z\right) = F_{149}\! \left(x , z\right)+F_{354}\! \left(x , y , z\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{151}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{151}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{119}\! \left(x , y\right)+F_{154}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{155}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{156}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right)+F_{173}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{158}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{160}\! \left(x , y\right)+F_{167}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{165}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{125}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{159}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right) F_{53}\! \left(x \right)
F_{169}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{170}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{171}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{169}\! \left(x , y\right) F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = y x
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right)+F_{346}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , 1, y\right)
F_{176}\! \left(x , y , z\right) = F_{119}\! \left(x , z\right)+F_{177}\! \left(x , y , z\right)
F_{178}\! \left(x , y , z\right) = F_{177}\! \left(x , y , z\right)+F_{345}\! \left(x , y , z\right)
F_{178}\! \left(x , y , z\right) = F_{179}\! \left(x , y , z\right)+F_{181}\! \left(x , y , z\right)
F_{179}\! \left(x , y , z\right) = F_{180}\! \left(x , y\right) F_{87}\! \left(x , z\right)
F_{180}\! \left(x , y\right) = F_{77}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{181}\! \left(x , y , z\right) = F_{182}\! \left(x , y , z\right)
F_{182}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{183}\! \left(x , y , z\right) F_{87}\! \left(x , z\right)
F_{183}\! \left(x , y , z\right) = -\frac{y \left(F_{184}\! \left(x , 1, z\right)-F_{184}\! \left(x , y , z\right)\right)}{-1+y}
F_{184}\! \left(x , y , z\right) = F_{185}\! \left(x , y , z\right)+F_{186}\! \left(x , y , z\right)
F_{185}\! \left(x , y , z\right) = F_{125}\! \left(x , z\right) F_{84}\! \left(x , y\right)
F_{186}\! \left(x , y , z\right) = F_{187}\! \left(x , y , z\right)
F_{188}\! \left(x , y , z\right) = F_{153}\! \left(x , z\right)+F_{187}\! \left(x , y , z\right)
F_{188}\! \left(x , y , z\right) = F_{189}\! \left(x , y , z\right)
F_{189}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{190}\! \left(x , y , z\right)
F_{190}\! \left(x , y , z\right) = F_{191}\! \left(x , y , z\right)+F_{313}\! \left(x , y , z\right)
F_{192}\! \left(x , y , z\right) = F_{191}\! \left(x , y , z\right) F_{61}\! \left(x , z\right)
F_{192}\! \left(x , y , z\right) = F_{193}\! \left(x , y , z\right)
F_{193}\! \left(x , y , z\right) = F_{194}\! \left(x , y , z\right)+F_{292}\! \left(x , y , z\right)
F_{194}\! \left(x , y , z\right) = F_{195}\! \left(x , z , y\right)
F_{195}\! \left(x , y , z\right) = F_{196}\! \left(x , y , z\right)+F_{282}\! \left(x , y , z\right)
F_{196}\! \left(x , y , z\right) = F_{197}\! \left(x , z , y\right)
F_{197}\! \left(x , y , z\right) = F_{198}\! \left(x , y , z\right) F_{61}\! \left(x , z\right)
F_{199}\! \left(x , y , z\right) = F_{198}\! \left(x , y , z\right)+F_{201}\! \left(x , y , z\right)
F_{200}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{199}\! \left(x , y , z\right)
F_{200}\! \left(x , y , z\right) = F_{176}\! \left(x , y , z\right)
F_{201}\! \left(x , y , z\right) = F_{202}\! \left(x , y , z\right)
F_{202}\! \left(x , y , z\right) = F_{203}\! \left(x , y , z\right)+F_{238}\! \left(x , y , z\right)
F_{203}\! \left(x , y , z\right) = F_{204}\! \left(x , z\right) F_{87}\! \left(x , y\right)
F_{205}\! \left(x , y\right) = F_{204}\! \left(x , y\right)+F_{207}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{205}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{208}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = F_{208}\! \left(x , y\right)+F_{237}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = F_{210}\! \left(x , y\right)
F_{211}\! \left(x , y\right) = F_{210}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{211}\! \left(x , y\right) = F_{212}\! \left(x , y\right)
F_{212}\! \left(x , y\right) = F_{213}\! \left(x , y\right)
F_{213}\! \left(x , y\right) = F_{214}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{214}\! \left(x , y\right) = F_{215}\! \left(x , 1, y\right)
F_{215}\! \left(x , y , z\right) = F_{216}\! \left(x , y\right)+F_{234}\! \left(x , y , z\right)
F_{216}\! \left(x , y\right) = F_{217}\! \left(x \right)+F_{219}\! \left(x , y\right)
F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{218}\! \left(x \right) = F_{2}\! \left(x \right)
F_{219}\! \left(x , y\right) = F_{220}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = y F_{221}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{222}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = F_{223}\! \left(x , y , 1\right)
F_{223}\! \left(x , y , z\right) = F_{224}\! \left(x , y , z\right)+F_{231}\! \left(x , y , z\right)
F_{224}\! \left(x , y , z\right) = F_{225}\! \left(x , z\right)+F_{227}\! \left(x , y , z\right)
F_{226}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{225}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{227}\! \left(x , y , z\right) = F_{228}\! \left(x , y , z\right)
F_{228}\! \left(x , y , z\right) = -\frac{-F_{229}\! \left(x , y , z\right) z +F_{229}\! \left(x , y , 1\right)}{-1+z}
F_{229}\! \left(x , y , z\right) = y F_{230}\! \left(x , y , z\right)
F_{230}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{223}\! \left(x , y , z\right)
F_{231}\! \left(x , y , z\right) = F_{232}\! \left(x , y , z\right)
F_{232}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{233}\! \left(x , y , z\right)
F_{233}\! \left(x , y , z\right) = -\frac{-F_{223}\! \left(x , y , z\right) z +F_{223}\! \left(x , y , 1\right)}{-1+z}
F_{234}\! \left(x , y , z\right) = F_{235}\! \left(x , y , z\right)
F_{235}\! \left(x , y , z\right) = F_{236}\! \left(x , y , z\right) F_{61}\! \left(x , z\right)
F_{236}\! \left(x , y , z\right) = -\frac{-F_{215}\! \left(x , y , z\right) y +F_{215}\! \left(x , 1, z\right)}{-1+y}
F_{237}\! \left(x , y\right) = F_{169}\! \left(x , y\right) F_{217}\! \left(x \right)
F_{238}\! \left(x , y , z\right) = F_{239}\! \left(x , z\right) F_{288}\! \left(x , y\right)
F_{240}\! \left(x , y\right) = F_{239}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{241}\! \left(x , y\right) = F_{240}\! \left(x , y\right)+F_{287}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{242}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{242}\! \left(x , y\right)+F_{265}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{243}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{245}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{246}\! \left(x , y\right)
F_{246}\! \left(x , y\right) = F_{247}\! \left(x , y\right)+F_{263}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{248}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{125}\! \left(x , y\right) F_{249}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{249}\! \left(x \right) = F_{15}\! \left(x \right)+F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{24}\! \left(x \right)+F_{251}\! \left(x \right)+F_{255}\! \left(x \right)
F_{251}\! \left(x \right) = F_{12}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{50}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{251}\! \left(x \right)
F_{255}\! \left(x \right) = F_{12}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{258}\! \left(x \right)
F_{257}\! \left(x \right) = F_{15}\! \left(x \right)+F_{254}\! \left(x \right)
F_{258}\! \left(x \right) = F_{250}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{12}\! \left(x \right) F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{253}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{259}\! \left(x \right)
F_{263}\! \left(x , y\right) = F_{264}\! \left(x , 1, y\right)
F_{264}\! \left(x , y , z\right) = -\frac{-F_{148}\! \left(x , y , z\right) y +F_{148}\! \left(x , 1, z\right)}{-1+y}
F_{265}\! \left(x , y\right) = F_{266}\! \left(x , y\right)
F_{267}\! \left(x , y\right) = F_{266}\! \left(x , y\right)+F_{285}\! \left(x , y\right)
F_{267}\! \left(x , y\right) = F_{268}\! \left(x , y\right)
F_{269}\! \left(x , y\right) = F_{268}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{269}\! \left(x , y\right) = F_{270}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{270}\! \left(x , y\right)+F_{278}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{272}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{172}\! \left(x , y\right) F_{273}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{274}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{274}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{276}\! \left(x , y\right)
F_{214}\! \left(x , y\right) = F_{276}\! \left(x , y\right)+F_{277}\! \left(x , y\right)
F_{277}\! \left(x , y\right) = F_{212}\! \left(x , y\right)+F_{217}\! \left(x \right)
F_{278}\! \left(x , y\right) = F_{279}\! \left(x , y\right)
F_{279}\! \left(x , y\right) = F_{280}\! \left(x , 1, y\right)
F_{280}\! \left(x , y , z\right) = F_{281}\! \left(x , y , y z \right)
F_{281}\! \left(x , y , z\right) = F_{282}\! \left(x , z , y\right)
F_{282}\! \left(x , y , z\right) = F_{283}\! \left(x , y , z\right)
F_{283}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{284}\! \left(x , y , z\right)
F_{284}\! \left(x , y , z\right) = -\frac{-F_{195}\! \left(x , y , z\right) z +F_{195}\! \left(x , y , 1\right)}{-1+z}
F_{285}\! \left(x , y\right) = F_{169}\! \left(x , y\right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{225}\! \left(x , 1\right)
F_{287}\! \left(x , y\right) = F_{204}\! \left(x , y\right) F_{22}\! \left(x \right)
F_{288}\! \left(x , y\right) = F_{289}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{24}\! \left(x \right)+F_{290}\! \left(x , y\right)+F_{291}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{288}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{88}\! \left(x , y\right)
F_{292}\! \left(x , y , z\right) = F_{293}\! \left(x , y , z\right)
F_{293}\! \left(x , y , z\right) = F_{2}\! \left(x \right) F_{294}\! \left(x , y\right) F_{88}\! \left(x , z\right)
F_{294}\! \left(x , y\right) = F_{295}\! \left(x , y\right)+F_{305}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{296}\! \left(x \right) F_{302}\! \left(x , y\right)
F_{296}\! \left(x \right) = F_{22}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{20}\! \left(x \right)+F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{24}\! \left(x \right)+F_{299}\! \left(x \right)+F_{301}\! \left(x \right)
F_{299}\! \left(x \right) = F_{12}\! \left(x \right) F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{20}\! \left(x \right)+F_{298}\! \left(x \right)
F_{301}\! \left(x \right) = F_{12}\! \left(x \right) F_{297}\! \left(x \right)
F_{302}\! \left(x , y\right) = F_{303}\! \left(x , y\right)+F_{304}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{61}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{289}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{306}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{306}\! \left(x \right) = F_{26}\! \left(x \right)+F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{23}\! \left(x \right)+F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{24}\! \left(x \right)+F_{309}\! \left(x \right)+F_{311}\! \left(x \right)+F_{312}\! \left(x \right)
F_{309}\! \left(x \right) = F_{12}\! \left(x \right) F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{23}\! \left(x \right)+F_{308}\! \left(x \right)
F_{311}\! \left(x \right) = F_{12}\! \left(x \right) F_{307}\! \left(x \right)
F_{312}\! \left(x \right) = F_{12}\! \left(x \right) F_{298}\! \left(x \right)
F_{313}\! \left(x , y , z\right) = F_{314}\! \left(x , y , z\right)
F_{314}\! \left(x , y , z\right) = F_{315}\! \left(x , y , z\right)+F_{328}\! \left(x , y , z\right)
F_{315}\! \left(x , y , z\right) = F_{316}\! \left(x , z\right) F_{87}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{316}\! \left(x , y\right)+F_{317}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{317}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{319}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{320}\! \left(x , y\right)+F_{323}\! \left(x , y\right)
F_{320}\! \left(x , y\right) = F_{212}\! \left(x , y\right)+F_{321}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{322}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{271}\! \left(x , y\right)
F_{323}\! \left(x , y\right) = F_{324}\! \left(x , y\right)
F_{324}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{325}\! \left(x \right) F_{88}\! \left(x , y\right)
F_{325}\! \left(x \right) = F_{17}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{19}\! \left(x \right)+F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{298}\! \left(x \right)+F_{308}\! \left(x \right)
F_{328}\! \left(x , y , z\right) = F_{288}\! \left(x , y\right) F_{329}\! \left(x , z\right)
F_{330}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{329}\! \left(x , y\right)
F_{331}\! \left(x , y\right) = F_{330}\! \left(x , y\right)+F_{344}\! \left(x , y\right)
F_{331}\! \left(x , y\right) = F_{332}\! \left(x , y\right)
F_{333}\! \left(x , y\right) = F_{332}\! \left(x , y\right)+F_{342}\! \left(x , y\right)
F_{334}\! \left(x , y\right) = F_{12} \left(x \right)^{2} F_{333}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{334}\! \left(x , y\right) = F_{335}\! \left(x , y\right)
F_{335}\! \left(x , y\right) = F_{336}\! \left(x , y\right)+F_{338}\! \left(x , y\right)
F_{336}\! \left(x , y\right) = F_{337}\! \left(x , y\right)
F_{337}\! \left(x , y\right) = F_{12} \left(x \right)^{2} F_{151}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{338}\! \left(x , y\right) = F_{339}\! \left(x , y\right)
F_{339}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{340}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{340}\! \left(x , y\right) = F_{341}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{341}\! \left(x , y\right)
F_{342}\! \left(x , y\right) = F_{343}\! \left(x , 1, y\right)
F_{343}\! \left(x , y , z\right) = F_{191}\! \left(x , y , y z \right)
F_{344}\! \left(x , y\right) = F_{22}\! \left(x \right) F_{316}\! \left(x , y\right)
F_{345}\! \left(x , y , z\right) = F_{162}\! \left(x , z\right) F_{84}\! \left(x , y\right)
F_{346}\! \left(x , y\right) = F_{347}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{348}\! \left(x , y\right)
F_{348}\! \left(x , y\right) = F_{349}\! \left(x , y\right)+F_{351}\! \left(x , y\right)
F_{349}\! \left(x , y\right) = F_{350}\! \left(x , y\right)
F_{350}\! \left(x , y\right) = F_{159}\! \left(x , y\right) F_{249}\! \left(x \right)
F_{351}\! \left(x , y\right) = F_{352}\! \left(x , y , 1\right)
F_{352}\! \left(x , y , z\right) = -\frac{-z F_{353}\! \left(x , y , z\right)+F_{353}\! \left(x , y , 1\right)}{-1+z}
F_{353}\! \left(x , y , z\right) = F_{188}\! \left(x , z , y\right)
F_{354}\! \left(x , y , z\right) = F_{355}\! \left(x , y , z\right)
F_{355}\! \left(x , y , z\right) = F_{186}\! \left(x , y , z\right) F_{87}\! \left(x , z\right)
F_{356}\! \left(x , y\right) = F_{357}\! \left(x , y\right)+F_{399}\! \left(x , y\right)
F_{357}\! \left(x , y\right) = F_{358}\! \left(x , y\right)
F_{358}\! \left(x , y\right) = F_{359}\! \left(x \right)+F_{398}\! \left(x , y\right)
F_{359}\! \left(x \right) = F_{0}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{12}\! \left(x \right) F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right)+F_{365}\! \left(x \right)
F_{363}\! \left(x \right) = F_{359}\! \left(x \right)+F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{111}\! \left(x , 1\right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{12}\! \left(x \right) F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x , 1\right)
F_{368}\! \left(x , y\right) = F_{369}\! \left(x , y\right)+F_{378}\! \left(x , y\right)
F_{369}\! \left(x , y\right) = F_{370}\! \left(x , y\right)+F_{374}\! \left(x , y\right)
F_{370}\! \left(x , y\right) = F_{356}\! \left(x , y\right)+F_{371}\! \left(x , y\right)
F_{371}\! \left(x , y\right) = F_{372}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{373}\! \left(x , y\right)
F_{373}\! \left(x , y\right) = -\frac{-F_{370}\! \left(x , y\right) y +F_{370}\! \left(x , 1\right)}{-1+y}
F_{374}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{375}\! \left(x , y\right)
F_{375}\! \left(x , y\right) = F_{376}\! \left(x , y\right)
F_{376}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{377}\! \left(x , y\right)
F_{377}\! \left(x , y\right) = -\frac{-F_{374}\! \left(x , y\right) y +F_{374}\! \left(x , 1\right)}{-1+y}
F_{378}\! \left(x , y\right) = F_{379}\! \left(x , y\right)+F_{395}\! \left(x , y\right)
F_{379}\! \left(x , y\right) = -\frac{-F_{380}\! \left(x , y\right) y +F_{380}\! \left(x , 1\right)}{-1+y}
F_{380}\! \left(x , y\right) = F_{381}\! \left(x , y\right)
F_{381}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{382}\! \left(x , y\right)
F_{382}\! \left(x , y\right) = F_{383}\! \left(x , y\right)+F_{389}\! \left(x , y\right)
F_{383}\! \left(x , y\right) = F_{384}\! \left(x , y\right)
F_{384}\! \left(x , y\right) = F_{385}\! \left(x , 1, y\right)
F_{385}\! \left(x , y , z\right) = F_{386}\! \left(x \right) F_{87}\! \left(x , y\right) F_{87}\! \left(x , z\right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)+F_{4}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right) F_{42}\! \left(x \right)
F_{389}\! \left(x , y\right) = F_{390}\! \left(x , y\right)
F_{391}\! \left(x , y\right) = F_{390}\! \left(x , y\right)+F_{393}\! \left(x , y\right)
F_{392}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{391}\! \left(x , y\right)
F_{392}\! \left(x , y\right) = F_{111}\! \left(x , y\right)
F_{393}\! \left(x , y\right) = F_{394}\! \left(x , y\right)
F_{394}\! \left(x , y\right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{395}\! \left(x , y\right) = F_{396}\! \left(x , y\right)
F_{396}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{397}\! \left(x , y\right)
F_{397}\! \left(x , y\right) = -\frac{-F_{378}\! \left(x , y\right) y +F_{378}\! \left(x , 1\right)}{-1+y}
F_{398}\! \left(x , y\right) = F_{116}\! \left(x , y\right)
F_{399}\! \left(x , y\right) = F_{400}\! \left(x , y\right)
F_{400}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{373}\! \left(x , y\right)
F_{401}\! \left(x , y\right) = F_{402}\! \left(x , y\right)
F_{402}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{403}\! \left(x , y\right)
F_{403}\! \left(x , y\right) = -\frac{-y F_{404}\! \left(x , y\right)+F_{404}\! \left(x , 1\right)}{-1+y}
F_{404}\! \left(x , y\right) = F_{374}\! \left(x , y\right)+F_{378}\! \left(x , y\right)
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{12}\! \left(x \right) F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{101}\! \left(x , 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_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_12(x)*F_7(x))
Eq(F_7(x), F_73(x) + F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_0(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_7(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_32(x))
Eq(F_14(x), F_0(x)*F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_12(x)*F_17(x))
Eq(F_17(x), F_18(x) + F_19(x))
Eq(F_18(x), F_1(x) + F_12(x))
Eq(F_19(x), F_20(x) + F_23(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_1(x) + F_20(x))
Eq(F_23(x), F_24(x) + F_25(x) + F_31(x))
Eq(F_24(x), 0)
Eq(F_25(x), F_12(x)*F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_12(x) + F_28(x))
Eq(F_28(x), F_24(x) + F_29(x) + F_30(x))
Eq(F_29(x), F_12(x)*F_20(x))
Eq(F_30(x), F_12(x)*F_27(x))
Eq(F_31(x), F_12(x)*F_20(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_12(x)*F_34(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_15(x)*F_7(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x, 1))
Eq(F_38(x, k_0), F_39(x)*F_56(x, k_0))
Eq(F_39(x), F_40(x) + F_53(x))
Eq(F_40(x), F_0(x) + F_41(x))
Eq(F_41(x), F_2(x)*F_42(x))
Eq(F_42(x), F_1(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_12(x)*F_45(x))
Eq(F_45(x), F_18(x) + F_46(x))
Eq(F_46(x), F_43(x) + F_47(x))
Eq(F_47(x), F_24(x) + F_48(x) + F_52(x))
Eq(F_48(x), F_12(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_51(x))
Eq(F_50(x), F_12(x))
Eq(F_51(x), F_47(x))
Eq(F_52(x), F_12(x)*F_43(x))
Eq(F_53(x), F_10(x) + F_54(x))
Eq(F_54(x), F_2(x)*F_55(x))
Eq(F_55(x), F_12(x) + F_47(x))
Eq(F_56(x, k_0), F_15(x) + F_57(x, k_0))
Eq(F_57(x, k_0), F_24(x) + F_58(x, k_0) + F_64(x, k_0))
Eq(F_58(x, k_0), F_12(x)*F_59(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0) + F_62(x, k_0))
Eq(F_60(x, k_0), F_61(x, k_0))
Eq(F_61(x, k_0), k_0*x)
Eq(F_62(x, k_0), F_63(x, k_0))
Eq(F_63(x, k_0), F_58(x, k_0))
Eq(F_64(x, k_0), F_61(x, k_0)*F_65(x, k_0))
Eq(F_65(x, k_0), F_66(x, k_0) + F_67(x, k_0))
Eq(F_66(x, k_0), F_15(x) + F_63(x, k_0))
Eq(F_67(x, k_0), F_57(x, k_0) + F_68(x, k_0))
Eq(F_68(x, k_0), F_69(x, k_0))
Eq(F_69(x, k_0), F_61(x, k_0)*F_70(x, k_0))
Eq(F_70(x, k_0), F_71(x, k_0) + F_72(x, k_0))
Eq(F_71(x, k_0), F_63(x, k_0))
Eq(F_72(x, k_0), F_68(x, k_0))
Eq(F_73(x), F_405(x) + F_74(x))
Eq(F_74(x), F_75(x, 1))
Eq(F_75(x, k_0), F_76(x, k_0) + F_91(x, k_0))
Eq(F_76(x, k_0), F_2(x) + F_77(x, k_0))
Eq(F_77(x, k_0), F_78(x, k_0))
Eq(F_78(x, k_0), F_61(x, k_0)*F_79(x, k_0))
Eq(F_79(x, k_0), F_76(x, k_0) + F_80(x, k_0))
Eq(F_80(x, k_0), F_102(x, k_0) + F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0) + F_91(x, k_0))
Eq(F_82(x, k_0), F_2(x)*F_83(x, k_0))
Eq(F_83(x, k_0), F_1(x) + F_84(x, k_0))
Eq(F_84(x, k_0), F_85(x, k_0))
Eq(F_85(x, k_0), F_61(x, k_0)*F_86(x, k_0))
Eq(F_86(x, k_0), F_87(x, k_0) + F_90(x, k_0))
Eq(F_87(x, k_0), F_1(x) + F_88(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0))
Eq(F_89(x, k_0), F_61(x, k_0)*F_87(x, k_0))
Eq(F_90(x, k_0), F_85(x, k_0))
Eq(F_91(x, k_0), F_92(x, k_0))
Eq(F_92(x, k_0), F_12(x)*F_93(x, k_0))
Eq(F_93(x, k_0), F_94(x, k_0) + F_95(x, k_0))
Eq(F_94(x, k_0), F_4(x)*F_56(x, k_0))
Eq(F_95(x, k_0), (k_0*F_96(x, k_0) - F_96(x, 1))/(k_0 - 1))
Eq(F_96(x, k_0), F_75(x, k_0) + F_97(x, k_0))
Eq(F_97(x, k_0), F_98(x, k_0))
Eq(F_98(x, k_0), F_12(x)*F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0) + F_101(x, k_0))
Eq(F_100(x, k_0), F_38(x, k_0))
Eq(F_101(x, k_0), F_95(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0)*F_61(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0) + F_106(x, k_0))
Eq(F_105(x, k_0), F_2(x)*F_87(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0) + F_120(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0) + F_2(x))
Eq(F_108(x, k_0), F_109(x, k_0))
Eq(F_109(x, k_0), F_110(x, k_0)*F_61(x, k_0))
Eq(F_110(x, k_0), F_107(x, k_0) + F_111(x, k_0))
Eq(F_112(x, k_0), (k_0*F_111(x, k_0) - F_111(x, 1))/(k_0 - 1))
Eq(F_113(x, k_0), F_112(x, k_0) + F_401(x, k_0))
Eq(F_114(x, k_0), F_113(x, k_0) + F_356(x, k_0))
Eq(F_115(x, k_0), F_114(x, k_0)*F_61(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0)*F_61(x, k_0))
Eq(F_118(x, k_0), F_117(x, k_0)*F_12(x))
Eq(F_118(x, k_0), F_119(x, k_0))
Eq(F_119(x, k_0), F_105(x, k_0) + F_120(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0))
Eq(F_121(x, k_0), F_12(x)*F_122(x, k_0))
Eq(F_122(x, k_0), F_123(x, k_0) + F_147(x, k_0))
Eq(F_123(x, k_0), F_124(x, k_0))
Eq(F_124(x, k_0), F_125(x, k_0)*F_15(x)*F_87(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0) + F_4(x))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0)*F_61(x, k_0))
Eq(F_128(x, k_0), F_125(x, k_0) + F_129(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0)*F_2(x)*F_22(x))
Eq(F_131(x, k_0), F_132(x, k_0) + F_87(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0) + F_43(x))
Eq(F_133(x, k_0), F_134(x, k_0) + F_146(x, k_0) + F_24(x))
Eq(F_134(x, k_0), F_12(x)*F_135(x, k_0))
Eq(F_135(x, k_0), F_136(x, k_0) + F_139(x, k_0))
Eq(F_136(x, k_0), F_137(x, k_0) + F_88(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0))
Eq(F_138(x, k_0), F_12(x)*F_88(x, k_0))
Eq(F_139(x, k_0), F_133(x, k_0) + F_140(x, k_0))
Eq(F_140(x, k_0), F_141(x, k_0) + F_145(x, k_0) + 2*F_24(x))
Eq(F_141(x, k_0), F_12(x)*F_142(x, k_0))
Eq(F_142(x, k_0), F_143(x, k_0) + F_144(x, k_0))
Eq(F_143(x, k_0), F_137(x, k_0))
Eq(F_144(x, k_0), F_140(x, k_0))
Eq(F_145(x, k_0), F_12(x)*F_133(x, k_0))
Eq(F_146(x, k_0), F_132(x, k_0)*F_61(x, k_0))
Eq(F_147(x, k_0), F_148(x, 1, k_0))
Eq(F_148(x, k_0, k_1), F_149(x, k_1) + F_354(x, k_0, k_1))
Eq(F_149(x, k_0), F_150(x, k_0))
Eq(F_150(x, k_0), F_12(x)*F_151(x, k_0)*F_87(x, k_0))
Eq(F_152(x, k_0), F_12(x)*F_151(x, k_0))
Eq(F_152(x, k_0), F_153(x, k_0))
Eq(F_153(x, k_0), F_119(x, k_0) + F_154(x, k_0))
Eq(F_154(x, k_0), F_155(x, k_0))
Eq(F_155(x, k_0), F_12(x)*F_156(x, k_0))
Eq(F_156(x, k_0), F_157(x, k_0) + F_173(x, k_0))
Eq(F_157(x, k_0), F_158(x, k_0))
Eq(F_158(x, k_0), F_15(x)*F_159(x, k_0))
Eq(F_159(x, k_0), F_160(x, k_0) + F_167(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0))
Eq(F_161(x, k_0), F_162(x, k_0) + F_165(x, k_0))
Eq(F_162(x, k_0), F_163(x, k_0) + F_87(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_12(x)*F_125(x, k_0)*F_87(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_166(x, k_0), F_12(x)*F_159(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0)*F_53(x))
Eq(F_169(x, k_0), F_1(x) + F_170(x, k_0))
Eq(F_170(x, k_0), F_171(x, k_0))
Eq(F_171(x, k_0), F_169(x, k_0)*F_172(x, k_0))
Eq(F_172(x, k_0), k_0*x)
Eq(F_173(x, k_0), F_174(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0) + F_346(x, k_0))
Eq(F_175(x, k_0), F_176(x, 1, k_0))
Eq(F_176(x, k_0, k_1), F_119(x, k_1) + F_177(x, k_0, k_1))
Eq(F_178(x, k_0, k_1), F_177(x, k_0, k_1) + F_345(x, k_0, k_1))
Eq(F_178(x, k_0, k_1), F_179(x, k_0, k_1) + F_181(x, k_0, k_1))
Eq(F_179(x, k_0, k_1), F_180(x, k_0)*F_87(x, k_1))
Eq(F_180(x, k_0), F_77(x, k_0) + F_84(x, k_0))
Eq(F_181(x, k_0, k_1), F_182(x, k_0, k_1))
Eq(F_182(x, k_0, k_1), F_12(x)*F_183(x, k_0, k_1)*F_87(x, k_1))
Eq(F_183(x, k_0, k_1), -F_184(x, 1, k_1) + (k_0*F_184(x, k_0, k_1) - F_184(x, 1, k_1))/(k_0 - 1))
Eq(F_184(x, k_0, k_1), F_185(x, k_0, k_1) + F_186(x, k_0, k_1))
Eq(F_185(x, k_0, k_1), F_125(x, k_1)*F_84(x, k_0))
Eq(F_186(x, k_0, k_1), F_187(x, k_0, k_1))
Eq(F_188(x, k_0, k_1), F_153(x, k_1) + F_187(x, k_0, k_1))
Eq(F_188(x, k_0, k_1), F_189(x, k_0, k_1))
Eq(F_189(x, k_0, k_1), F_12(x)*F_190(x, k_0, k_1))
Eq(F_190(x, k_0, k_1), F_191(x, k_0, k_1) + F_313(x, k_0, k_1))
Eq(F_192(x, k_0, k_1), F_191(x, k_0, k_1)*F_61(x, k_1))
Eq(F_192(x, k_0, k_1), F_193(x, k_0, k_1))
Eq(F_193(x, k_0, k_1), F_194(x, k_0, k_1) + F_292(x, k_0, k_1))
Eq(F_194(x, k_0, k_1), F_195(x, k_1, k_0))
Eq(F_195(x, k_0, k_1), F_196(x, k_0, k_1) + F_282(x, k_0, k_1))
Eq(F_196(x, k_0, k_1), F_197(x, k_1, k_0))
Eq(F_197(x, k_0, k_1), F_198(x, k_0, k_1)*F_61(x, k_1))
Eq(F_199(x, k_0, k_1), F_198(x, k_0, k_1) + F_201(x, k_0, k_1))
Eq(F_200(x, k_0, k_1), F_12(x)*F_199(x, k_0, k_1))
Eq(F_200(x, k_0, k_1), F_176(x, k_0, k_1))
Eq(F_201(x, k_0, k_1), F_202(x, k_0, k_1))
Eq(F_202(x, k_0, k_1), F_203(x, k_0, k_1) + F_238(x, k_0, k_1))
Eq(F_203(x, k_0, k_1), F_204(x, k_1)*F_87(x, k_0))
Eq(F_205(x, k_0), F_204(x, k_0) + F_207(x, k_0))
Eq(F_206(x, k_0), F_12(x)*F_205(x, k_0))
Eq(F_206(x, k_0), F_120(x, k_0))
Eq(F_207(x, k_0), F_208(x, k_0))
Eq(F_209(x, k_0), F_208(x, k_0) + F_237(x, k_0))
Eq(F_209(x, k_0), F_210(x, k_0))
Eq(F_211(x, k_0), F_210(x, k_0)*F_61(x, k_0))
Eq(F_211(x, k_0), F_212(x, k_0))
Eq(F_212(x, k_0), F_213(x, k_0))
Eq(F_213(x, k_0), F_214(x, k_0)*F_61(x, k_0))
Eq(F_214(x, k_0), F_215(x, 1, k_0))
Eq(F_215(x, k_0, k_1), F_216(x, k_0) + F_234(x, k_0, k_1))
Eq(F_216(x, k_0), F_217(x) + F_219(x, k_0))
Eq(F_217(x), F_218(x)/F_12(x))
Eq(F_218(x), F_2(x))
Eq(F_219(x, k_0), F_220(x, k_0))
Eq(F_220(x, k_0), k_0*F_221(x, k_0))
Eq(F_221(x, k_0), F_12(x)*F_222(x, k_0))
Eq(F_222(x, k_0), F_223(x, k_0, 1))
Eq(F_223(x, k_0, k_1), F_224(x, k_0, k_1) + F_231(x, k_0, k_1))
Eq(F_224(x, k_0, k_1), F_225(x, k_1) + F_227(x, k_0, k_1))
Eq(F_226(x, k_0), F_12(x)*F_225(x, k_0))
Eq(F_226(x, k_0), F_76(x, k_0))
Eq(F_227(x, k_0, k_1), F_228(x, k_0, k_1))
Eq(F_228(x, k_0, k_1), (k_1*F_229(x, k_0, k_1) - F_229(x, k_0, 1))/(k_1 - 1))
Eq(F_229(x, k_0, k_1), k_0*F_230(x, k_0, k_1))
Eq(F_230(x, k_0, k_1), F_12(x)*F_223(x, k_0, k_1))
Eq(F_231(x, k_0, k_1), F_232(x, k_0, k_1))
Eq(F_232(x, k_0, k_1), F_12(x)*F_233(x, k_0, k_1))
Eq(F_233(x, k_0, k_1), (k_1*F_223(x, k_0, k_1) - F_223(x, k_0, 1))/(k_1 - 1))
Eq(F_234(x, k_0, k_1), F_235(x, k_0, k_1))
Eq(F_235(x, k_0, k_1), F_236(x, k_0, k_1)*F_61(x, k_1))
Eq(F_236(x, k_0, k_1), (-k_0*F_215(x, k_0, k_1) + F_215(x, 1, k_1))/(1 - k_0))
Eq(F_237(x, k_0), F_169(x, k_0)*F_217(x))
Eq(F_238(x, k_0, k_1), F_239(x, k_1)*F_288(x, k_0))
Eq(F_240(x, k_0), F_239(x, k_0)*F_26(x))
Eq(F_241(x, k_0), F_240(x, k_0) + F_287(x, k_0))
Eq(F_241(x, k_0), F_242(x, k_0))
Eq(F_243(x, k_0), F_242(x, k_0) + F_265(x, k_0))
Eq(F_244(x, k_0), F_12(x)*F_243(x, k_0))
Eq(F_244(x, k_0), F_245(x, k_0))
Eq(F_245(x, k_0), F_12(x)*F_246(x, k_0))
Eq(F_246(x, k_0), F_247(x, k_0) + F_263(x, k_0))
Eq(F_247(x, k_0), F_248(x, k_0))
Eq(F_248(x, k_0), F_125(x, k_0)*F_249(x)*F_87(x, k_0))
Eq(F_249(x), F_15(x) + F_250(x))
Eq(F_250(x), F_24(x) + F_251(x) + F_255(x))
Eq(F_251(x), F_12(x)*F_252(x))
Eq(F_252(x), F_253(x) + F_50(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_251(x))
Eq(F_255(x), F_12(x)*F_256(x))
Eq(F_256(x), F_257(x) + F_258(x))
Eq(F_257(x), F_15(x) + F_254(x))
Eq(F_258(x), F_250(x) + F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_12(x)*F_261(x))
Eq(F_261(x), F_253(x) + F_262(x))
Eq(F_262(x), F_259(x))
Eq(F_263(x, k_0), F_264(x, 1, k_0))
Eq(F_264(x, k_0, k_1), (-k_0*F_148(x, k_0, k_1) + F_148(x, 1, k_1))/(1 - k_0))
Eq(F_265(x, k_0), F_266(x, k_0))
Eq(F_267(x, k_0), F_266(x, k_0) + F_285(x, k_0))
Eq(F_267(x, k_0), F_268(x, k_0))
Eq(F_269(x, k_0), F_268(x, k_0)*F_61(x, k_0))
Eq(F_269(x, k_0), F_270(x, k_0))
Eq(F_271(x, k_0), F_270(x, k_0) + F_278(x, k_0))
Eq(F_271(x, k_0), F_272(x, k_0))
Eq(F_272(x, k_0), F_172(x, k_0)*F_273(x, k_0))
Eq(F_273(x, k_0), F_274(x, k_0))
Eq(F_275(x, k_0), F_12(x)*F_274(x, k_0))
Eq(F_275(x, k_0), F_276(x, k_0))
Eq(F_214(x, k_0), F_276(x, k_0) + F_277(x, k_0))
Eq(F_277(x, k_0), F_212(x, k_0) + F_217(x))
Eq(F_278(x, k_0), F_279(x, k_0))
Eq(F_279(x, k_0), F_280(x, 1, k_0))
Eq(F_280(x, k_0, k_1), F_281(x, k_0, k_0*k_1))
Eq(F_281(x, k_0, k_1), F_282(x, k_1, k_0))
Eq(F_282(x, k_0, k_1), F_283(x, k_0, k_1))
Eq(F_283(x, k_0, k_1), F_12(x)*F_284(x, k_0, k_1))
Eq(F_284(x, k_0, k_1), (k_1*F_195(x, k_0, k_1) - F_195(x, k_0, 1))/(k_1 - 1))
Eq(F_285(x, k_0), F_169(x, k_0)*F_286(x))
Eq(F_286(x), F_225(x, 1))
Eq(F_287(x, k_0), F_204(x, k_0)*F_22(x))
Eq(F_288(x, k_0), F_289(x, k_0) + F_61(x, k_0))
Eq(F_289(x, k_0), F_24(x) + F_290(x, k_0) + F_291(x, k_0))
Eq(F_290(x, k_0), F_288(x, k_0)*F_61(x, k_0))
Eq(F_291(x, k_0), F_61(x, k_0)*F_88(x, k_0))
Eq(F_292(x, k_0, k_1), F_293(x, k_0, k_1))
Eq(F_293(x, k_0, k_1), F_2(x)*F_294(x, k_0)*F_88(x, k_1))
Eq(F_294(x, k_0), F_295(x, k_0) + F_305(x, k_0))
Eq(F_295(x, k_0), F_296(x)*F_302(x, k_0))
Eq(F_296(x), F_22(x) + F_297(x))
Eq(F_297(x), F_20(x) + F_298(x))
Eq(F_298(x), F_24(x) + F_299(x) + F_301(x))
Eq(F_299(x), F_12(x)*F_300(x))
Eq(F_300(x), F_20(x) + F_298(x))
Eq(F_301(x), F_12(x)*F_297(x))
Eq(F_302(x, k_0), F_303(x, k_0) + F_304(x, k_0))
Eq(F_303(x, k_0), F_1(x) + F_61(x, k_0))
Eq(F_304(x, k_0), F_289(x, k_0) + F_88(x, k_0))
Eq(F_305(x, k_0), F_306(x)*F_87(x, k_0))
Eq(F_306(x), F_26(x) + F_307(x))
Eq(F_307(x), F_23(x) + F_308(x))
Eq(F_308(x), F_24(x) + F_309(x) + F_311(x) + F_312(x))
Eq(F_309(x), F_12(x)*F_310(x))
Eq(F_310(x), F_23(x) + F_308(x))
Eq(F_311(x), F_12(x)*F_307(x))
Eq(F_312(x), F_12(x)*F_298(x))
Eq(F_313(x, k_0, k_1), F_314(x, k_0, k_1))
Eq(F_314(x, k_0, k_1), F_315(x, k_0, k_1) + F_328(x, k_0, k_1))
Eq(F_315(x, k_0, k_1), F_316(x, k_1)*F_87(x, k_0))
Eq(F_151(x, k_0), F_316(x, k_0) + F_317(x, k_0))
Eq(F_318(x, k_0), F_317(x, k_0)*F_61(x, k_0))
Eq(F_318(x, k_0), F_319(x, k_0))
Eq(F_319(x, k_0), F_320(x, k_0) + F_323(x, k_0))
Eq(F_320(x, k_0), F_212(x, k_0) + F_321(x, k_0))
Eq(F_321(x, k_0), F_322(x, k_0))
Eq(F_322(x, k_0), F_12(x)*F_271(x, k_0))
Eq(F_323(x, k_0), F_324(x, k_0))
Eq(F_324(x, k_0), F_2(x)*F_325(x)*F_88(x, k_0))
Eq(F_325(x), F_17(x) + F_326(x))
Eq(F_326(x), F_19(x) + F_327(x))
Eq(F_327(x), F_298(x) + F_308(x))
Eq(F_328(x, k_0, k_1), F_288(x, k_0)*F_329(x, k_1))
Eq(F_330(x, k_0), F_26(x)*F_329(x, k_0))
Eq(F_331(x, k_0), F_330(x, k_0) + F_344(x, k_0))
Eq(F_331(x, k_0), F_332(x, k_0))
Eq(F_333(x, k_0), F_332(x, k_0) + F_342(x, k_0))
Eq(F_334(x, k_0), F_12(x)**2*F_333(x, k_0)*F_87(x, k_0))
Eq(F_334(x, k_0), F_335(x, k_0))
Eq(F_335(x, k_0), F_336(x, k_0) + F_338(x, k_0))
Eq(F_336(x, k_0), F_337(x, k_0))
Eq(F_337(x, k_0), F_12(x)**2*F_151(x, k_0)*F_87(x, k_0))
Eq(F_338(x, k_0), F_339(x, k_0))
Eq(F_339(x, k_0), F_12(x)*F_340(x, k_0)*F_87(x, k_0))
Eq(F_340(x, k_0), F_341(x, k_0))
Eq(F_174(x, k_0), F_153(x, k_0) + F_341(x, k_0))
Eq(F_342(x, k_0), F_343(x, 1, k_0))
Eq(F_343(x, k_0, k_1), F_191(x, k_0, k_0*k_1))
Eq(F_344(x, k_0), F_22(x)*F_316(x, k_0))
Eq(F_345(x, k_0, k_1), F_162(x, k_1)*F_84(x, k_0))
Eq(F_346(x, k_0), F_347(x, k_0))
Eq(F_347(x, k_0), F_12(x)*F_348(x, k_0))
Eq(F_348(x, k_0), F_349(x, k_0) + F_351(x, k_0))
Eq(F_349(x, k_0), F_350(x, k_0))
Eq(F_350(x, k_0), F_159(x, k_0)*F_249(x))
Eq(F_351(x, k_0), F_352(x, k_0, 1))
Eq(F_352(x, k_0, k_1), (-k_1*F_353(x, k_0, k_1) + F_353(x, k_0, 1))/(1 - k_1))
Eq(F_353(x, k_0, k_1), F_188(x, k_1, k_0))
Eq(F_354(x, k_0, k_1), F_355(x, k_0, k_1))
Eq(F_355(x, k_0, k_1), F_186(x, k_0, k_1)*F_87(x, k_1))
Eq(F_356(x, k_0), F_357(x, k_0) + F_399(x, k_0))
Eq(F_357(x, k_0), F_358(x, k_0))
Eq(F_358(x, k_0), F_359(x) + F_398(x, k_0))
Eq(F_359(x), F_0(x) + F_360(x))
Eq(F_360(x), F_361(x))
Eq(F_361(x), F_12(x)*F_362(x))
Eq(F_362(x), F_363(x) + F_365(x))
Eq(F_363(x), F_359(x) + F_364(x))
Eq(F_364(x), F_111(x, 1))
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_12(x)*F_367(x))
Eq(F_367(x), F_368(x, 1))
Eq(F_368(x, k_0), F_369(x, k_0) + F_378(x, k_0))
Eq(F_369(x, k_0), F_370(x, k_0) + F_374(x, k_0))
Eq(F_370(x, k_0), F_356(x, k_0) + F_371(x, k_0))
Eq(F_371(x, k_0), F_372(x, k_0))
Eq(F_372(x, k_0), F_12(x)*F_373(x, k_0))
Eq(F_373(x, k_0), (k_0*F_370(x, k_0) - F_370(x, 1))/(k_0 - 1))
Eq(F_374(x, k_0), F_113(x, k_0) + F_375(x, k_0))
Eq(F_375(x, k_0), F_376(x, k_0))
Eq(F_376(x, k_0), F_12(x)*F_377(x, k_0))
Eq(F_377(x, k_0), (k_0*F_374(x, k_0) - F_374(x, 1))/(k_0 - 1))
Eq(F_378(x, k_0), F_379(x, k_0) + F_395(x, k_0))
Eq(F_379(x, k_0), (k_0*F_380(x, k_0) - F_380(x, 1))/(k_0 - 1))
Eq(F_380(x, k_0), F_381(x, k_0))
Eq(F_381(x, k_0), F_12(x)*F_382(x, k_0))
Eq(F_382(x, k_0), F_383(x, k_0) + F_389(x, k_0))
Eq(F_383(x, k_0), F_384(x, k_0))
Eq(F_384(x, k_0), F_385(x, 1, k_0))
Eq(F_385(x, k_0, k_1), F_386(x)*F_87(x, k_0)*F_87(x, k_1))
Eq(F_386(x), F_387(x) + F_4(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_2(x)*F_22(x)*F_42(x))
Eq(F_389(x, k_0), F_390(x, k_0))
Eq(F_391(x, k_0), F_390(x, k_0) + F_393(x, k_0))
Eq(F_392(x, k_0), F_12(x)*F_391(x, k_0))
Eq(F_392(x, k_0), F_111(x, k_0))
Eq(F_393(x, k_0), F_394(x, k_0))
Eq(F_394(x, k_0), F_22(x)*F_4(x)*F_87(x, k_0))
Eq(F_395(x, k_0), F_396(x, k_0))
Eq(F_396(x, k_0), F_12(x)*F_397(x, k_0))
Eq(F_397(x, k_0), (k_0*F_378(x, k_0) - F_378(x, 1))/(k_0 - 1))
Eq(F_398(x, k_0), F_116(x, k_0))
Eq(F_399(x, k_0), F_400(x, k_0))
Eq(F_400(x, k_0), F_12(x)*F_373(x, k_0))
Eq(F_401(x, k_0), F_402(x, k_0))
Eq(F_402(x, k_0), F_12(x)*F_403(x, k_0))
Eq(F_403(x, k_0), (k_0*F_404(x, k_0) - F_404(x, 1))/(k_0 - 1))
Eq(F_404(x, k_0), F_374(x, k_0) + F_378(x, k_0))
Eq(F_405(x), F_406(x))
Eq(F_406(x), F_12(x)*F_407(x))
Eq(F_407(x), F_101(x, 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, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 1, 2, 3], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [4, 0, 1, 2, 3], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 1, 2, 3], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [4, 0, 1, 2, 3], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1]], "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, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 1, 2, 3], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [4, 0, 1, 2, 3], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 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, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], 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{"patt": [4, 0, 2, 1, 3], "pos": [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 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"comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [2, 0], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 0], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], 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1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "SkewComponentAssumption", "gps": [{"patt": [0], "pos": [[2, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 2]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}]}
Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25068/
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[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[12,x]*F[7,x]
F[7,x] = F[77,x]+F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[0,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[7,x]
F[12,x] = x
F[13,x] = F[14,x]+F[32,x]
F[14,x] = F[0,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[12,x]*F[17,x]
F[17,x] = F[18,x]+F[19,x]
F[18,x] = F[1,x]+F[12,x]
F[19,x] = F[20,x]+F[23,x]
F[20,x] = F[21,x]
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[1,x]+F[20,x]
F[23,x] = F[24,x]+F[25,x]+F[31,x]
F[24,x] = 0
F[25,x] = F[12,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[12,x]+F[28,x]
F[28,x] = F[24,x]+F[29,x]+F[30,x]
F[29,x] = F[12,x]*F[20,x]
F[30,x] = F[12,x]*F[27,x]
F[31,x] = F[12,x]*F[20,x]
F[32,x] = F[33,x]
F[33,x] = F[12,x]*F[34,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[15,x]*F[7,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x,1]
F[38,x,k[0]] = F[39,x]*F[56,x,k[0]]
F[39,x] = F[40,x]+F[53,x]
F[40,x] = F[0,x]+F[41,x]
F[41,x] = F[2,x]*F[42,x]
F[42,x] = F[1,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[12,x]*F[45,x]
F[45,x] = F[18,x]+F[46,x]
F[46,x] = F[43,x]+F[47,x]
F[47,x] = F[24,x]+F[48,x]+F[52,x]
F[48,x] = F[12,x]*F[49,x]
F[49,x] = F[50,x]+F[51,x]
F[50,x] = F[12,x]
F[51,x] = F[47,x]
F[52,x] = F[12,x]*F[43,x]
F[53,x] = F[10,x]+F[54,x]
F[54,x] = F[2,x]*F[55,x]
F[55,x] = F[12,x]+F[47,x]
F[56,x,k[0]] = F[15,x]+F[57,x,k[0]]
F[57,x,k[0]] = F[24,x]+F[58,x,k[0]]+F[68,x,k[0]]
F[58,x,k[0]] = F[12,x]*F[59,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]+F[62,x,k[0]]
F[60,x,k[0]] = F[61,x,k[0]]
F[61,x,k[0]] = k[0]*x
F[62,x,k[0]] = F[63,x,k[0]]
F[63,x,k[0]] = k[0]*F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[12,x]*F[66,x]
F[66,x] = F[50,x]+F[67,x]
F[67,x] = F[64,x]
F[68,x,k[0]] = F[61,x,k[0]]*F[69,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]+F[71,x,k[0]]
F[70,x,k[0]] = F[15,x]+F[63,x,k[0]]
F[71,x,k[0]] = F[57,x,k[0]]+F[72,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]
F[73,x,k[0]] = F[61,x,k[0]]*F[74,x,k[0]]
F[74,x,k[0]] = F[75,x,k[0]]+F[76,x,k[0]]
F[75,x,k[0]] = F[63,x,k[0]]
F[76,x,k[0]] = F[72,x,k[0]]
F[77,x] = F[405,x]+F[78,x]
F[78,x] = F[79,x,1]
F[79,x,k[0]] = F[80,x,k[0]]+F[95,x,k[0]]
F[80,x,k[0]] = F[2,x]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = F[61,x,k[0]]*F[83,x,k[0]]
F[83,x,k[0]] = F[80,x,k[0]]+F[84,x,k[0]]
F[84,x,k[0]] = F[106,x,k[0]]+F[85,x,k[0]]
F[85,x,k[0]] = F[86,x,k[0]]+F[95,x,k[0]]
F[86,x,k[0]] = F[2,x]*F[87,x,k[0]]
F[87,x,k[0]] = F[1,x]+F[88,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]
F[89,x,k[0]] = F[61,x,k[0]]*F[90,x,k[0]]
F[90,x,k[0]] = F[91,x,k[0]]+F[94,x,k[0]]
F[91,x,k[0]] = F[1,x]+F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[93,x,k[0]] = F[61,x,k[0]]*F[91,x,k[0]]
F[94,x,k[0]] = F[89,x,k[0]]
F[95,x,k[0]] = F[96,x,k[0]]
F[96,x,k[0]] = F[12,x]*F[97,x,k[0]]
F[97,x,k[0]] = F[98,x,k[0]]+F[99,x,k[0]]
F[98,x,k[0]] = F[4,x]*F[56,x,k[0]]
F[99,x,k[0]] = 1/(-1+k[0])*(F[100,x,k[0]]*k[0]-F[100,x,1])
F[100,x,k[0]] = F[101,x,k[0]]+F[79,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]*F[12,x]
F[103,x,k[0]] = F[104,x,k[0]]+F[105,x,k[0]]
F[104,x,k[0]] = F[38,x,k[0]]
F[105,x,k[0]] = F[99,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]*F[61,x,k[0]]
F[108,x,k[0]] = F[109,x,k[0]]+F[110,x,k[0]]
F[109,x,k[0]] = F[2,x]*F[91,x,k[0]]
F[110,x,k[0]] = F[111,x,k[0]]+F[124,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]+F[2,x]
F[112,x,k[0]] = F[113,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]*F[61,x,k[0]]
F[114,x,k[0]] = F[111,x,k[0]]+F[115,x,k[0]]
F[116,x,k[0]] = 1/(-1+k[0])*(F[115,x,k[0]]*k[0]-F[115,x,1])
F[117,x,k[0]] = F[116,x,k[0]]+F[401,x,k[0]]
F[118,x,k[0]] = F[117,x,k[0]]+F[356,x,k[0]]
F[119,x,k[0]] = F[118,x,k[0]]*F[61,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]*F[61,x,k[0]]
F[122,x,k[0]] = F[12,x]*F[121,x,k[0]]
F[122,x,k[0]] = F[123,x,k[0]]
F[123,x,k[0]] = F[109,x,k[0]]+F[124,x,k[0]]
F[124,x,k[0]] = F[125,x,k[0]]
F[125,x,k[0]] = F[12,x]*F[126,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0]]+F[151,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]*F[15,x]*F[91,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]+F[4,x]
F[130,x,k[0]] = F[131,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]*F[61,x,k[0]]
F[132,x,k[0]] = F[129,x,k[0]]+F[133,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]*F[2,x]*F[22,x]
F[135,x,k[0]] = F[136,x,k[0]]+F[91,x,k[0]]
F[136,x,k[0]] = F[137,x,k[0]]+F[43,x]
F[137,x,k[0]] = F[138,x,k[0]]+F[150,x,k[0]]+F[24,x]
F[138,x,k[0]] = F[12,x]*F[139,x,k[0]]
F[139,x,k[0]] = F[140,x,k[0]]+F[143,x,k[0]]
F[140,x,k[0]] = F[141,x,k[0]]+F[92,x,k[0]]
F[141,x,k[0]] = F[142,x,k[0]]
F[142,x,k[0]] = F[12,x]*F[92,x,k[0]]
F[143,x,k[0]] = F[137,x,k[0]]+F[144,x,k[0]]
F[144,x,k[0]] = 2*F[24,x]+F[145,x,k[0]]+F[149,x,k[0]]
F[145,x,k[0]] = F[12,x]*F[146,x,k[0]]
F[146,x,k[0]] = F[147,x,k[0]]+F[148,x,k[0]]
F[147,x,k[0]] = F[141,x,k[0]]
F[148,x,k[0]] = F[144,x,k[0]]
F[149,x,k[0]] = F[12,x]*F[137,x,k[0]]
F[150,x,k[0]] = F[136,x,k[0]]*F[61,x,k[0]]
F[151,x,k[0]] = F[152,x,1,k[0]]
F[152,x,k[0],k[1]] = F[153,x,k[1]]+F[354,x,k[0],k[1]]
F[153,x,k[0]] = F[154,x,k[0]]
F[154,x,k[0]] = F[12,x]*F[155,x,k[0]]*F[91,x,k[0]]
F[156,x,k[0]] = F[12,x]*F[155,x,k[0]]
F[156,x,k[0]] = F[157,x,k[0]]
F[157,x,k[0]] = F[123,x,k[0]]+F[158,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]
F[159,x,k[0]] = F[12,x]*F[160,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]+F[177,x,k[0]]
F[161,x,k[0]] = F[162,x,k[0]]
F[162,x,k[0]] = F[15,x]*F[163,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]+F[171,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]+F[169,x,k[0]]
F[166,x,k[0]] = F[167,x,k[0]]+F[91,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]
F[168,x,k[0]] = F[12,x]*F[129,x,k[0]]*F[91,x,k[0]]
F[169,x,k[0]] = F[170,x,k[0]]
F[170,x,k[0]] = F[12,x]*F[163,x,k[0]]
F[171,x,k[0]] = F[172,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]*F[53,x]
F[173,x,k[0]] = F[1,x]+F[174,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]
F[175,x,k[0]] = F[173,x,k[0]]*F[176,x,k[0]]
F[176,x,k[0]] = k[0]*x
F[177,x,k[0]] = F[178,x,k[0]]
F[178,x,k[0]] = F[179,x,k[0]]+F[346,x,k[0]]
F[179,x,k[0]] = F[180,x,1,k[0]]
F[180,x,k[0],k[1]] = F[123,x,k[1]]+F[181,x,k[0],k[1]]
F[182,x,k[0],k[1]] = F[181,x,k[0],k[1]]+F[345,x,k[0],k[1]]
F[182,x,k[0],k[1]] = F[183,x,k[0],k[1]]+F[185,x,k[0],k[1]]
F[183,x,k[0],k[1]] = F[184,x,k[0]]*F[91,x,k[1]]
F[184,x,k[0]] = F[81,x,k[0]]+F[88,x,k[0]]
F[185,x,k[0],k[1]] = F[186,x,k[0],k[1]]
F[186,x,k[0],k[1]] = F[12,x]*F[187,x,k[0],k[1]]*F[91,x,k[1]]
F[187,x,k[0],k[1]] = -k[0]*(F[188,x,1,k[1]]-F[188,x,k[0],k[1]])/(-1+k[0])
F[188,x,k[0],k[1]] = F[189,x,k[0],k[1]]+F[190,x,k[0],k[1]]
F[189,x,k[0],k[1]] = F[129,x,k[1]]*F[88,x,k[0]]
F[190,x,k[0],k[1]] = F[191,x,k[0],k[1]]
F[192,x,k[0],k[1]] = F[157,x,k[1]]+F[191,x,k[0],k[1]]
F[192,x,k[0],k[1]] = F[193,x,k[0],k[1]]
F[193,x,k[0],k[1]] = F[12,x]*F[194,x,k[0],k[1]]
F[194,x,k[0],k[1]] = F[195,x,k[0],k[1]]+F[313,x,k[0],k[1]]
F[196,x,k[0],k[1]] = F[195,x,k[0],k[1]]*F[61,x,k[1]]
F[196,x,k[0],k[1]] = F[197,x,k[0],k[1]]
F[197,x,k[0],k[1]] = F[198,x,k[0],k[1]]+F[292,x,k[0],k[1]]
F[198,x,k[0],k[1]] = F[199,x,k[1],k[0]]
F[199,x,k[0],k[1]] = F[200,x,k[0],k[1]]+F[282,x,k[0],k[1]]
F[200,x,k[0],k[1]] = F[201,x,k[1],k[0]]
F[201,x,k[0],k[1]] = F[202,x,k[0],k[1]]*F[61,x,k[1]]
F[203,x,k[0],k[1]] = F[202,x,k[0],k[1]]+F[205,x,k[0],k[1]]
F[204,x,k[0],k[1]] = F[12,x]*F[203,x,k[0],k[1]]
F[204,x,k[0],k[1]] = F[180,x,k[0],k[1]]
F[205,x,k[0],k[1]] = F[206,x,k[0],k[1]]
F[206,x,k[0],k[1]] = F[207,x,k[0],k[1]]+F[242,x,k[0],k[1]]
F[207,x,k[0],k[1]] = F[208,x,k[1]]*F[91,x,k[0]]
F[209,x,k[0]] = F[208,x,k[0]]+F[211,x,k[0]]
F[210,x,k[0]] = F[12,x]*F[209,x,k[0]]
F[210,x,k[0]] = F[124,x,k[0]]
F[211,x,k[0]] = F[212,x,k[0]]
F[213,x,k[0]] = F[212,x,k[0]]+F[241,x,k[0]]
F[213,x,k[0]] = F[214,x,k[0]]
F[215,x,k[0]] = F[214,x,k[0]]*F[61,x,k[0]]
F[215,x,k[0]] = F[216,x,k[0]]
F[216,x,k[0]] = F[217,x,k[0]]
F[217,x,k[0]] = F[218,x,k[0]]*F[61,x,k[0]]
F[218,x,k[0]] = F[219,x,1,k[0]]
F[219,x,k[0],k[1]] = F[220,x,k[0]]+F[238,x,k[0],k[1]]
F[220,x,k[0]] = F[221,x]+F[223,x,k[0]]
F[221,x] = 1/F[12,x]*F[222,x]
F[222,x] = F[2,x]
F[223,x,k[0]] = F[224,x,k[0]]
F[224,x,k[0]] = k[0]*F[225,x,k[0]]
F[225,x,k[0]] = F[12,x]*F[226,x,k[0]]
F[226,x,k[0]] = F[227,x,k[0],1]
F[227,x,k[0],k[1]] = F[228,x,k[0],k[1]]+F[235,x,k[0],k[1]]
F[228,x,k[0],k[1]] = F[229,x,k[1]]+F[231,x,k[0],k[1]]
F[230,x,k[0]] = F[12,x]*F[229,x,k[0]]
F[230,x,k[0]] = F[80,x,k[0]]
F[231,x,k[0],k[1]] = F[232,x,k[0],k[1]]
F[232,x,k[0],k[1]] = 1/(-1+k[1])*(F[233,x,k[0],k[1]]*k[1]-F[233,x,k[0],1])
F[233,x,k[0],k[1]] = k[0]*F[234,x,k[0],k[1]]
F[234,x,k[0],k[1]] = F[12,x]*F[227,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[12,x]*F[237,x,k[0],k[1]]
F[237,x,k[0],k[1]] = 1/(-1+k[1])*(F[227,x,k[0],k[1]]*k[1]-F[227,x,k[0],1])
F[238,x,k[0],k[1]] = F[239,x,k[0],k[1]]
F[239,x,k[0],k[1]] = F[240,x,k[0],k[1]]*F[61,x,k[1]]
F[240,x,k[0],k[1]] = (F[219,x,k[0],k[1]]*k[0]-F[219,x,1,k[1]])/(-1+k[0])
F[241,x,k[0]] = F[173,x,k[0]]*F[221,x]
F[242,x,k[0],k[1]] = F[243,x,k[1]]*F[288,x,k[0]]
F[244,x,k[0]] = F[243,x,k[0]]*F[26,x]
F[245,x,k[0]] = F[244,x,k[0]]+F[287,x,k[0]]
F[245,x,k[0]] = F[246,x,k[0]]
F[247,x,k[0]] = F[246,x,k[0]]+F[265,x,k[0]]
F[248,x,k[0]] = F[12,x]*F[247,x,k[0]]
F[248,x,k[0]] = F[249,x,k[0]]
F[249,x,k[0]] = F[12,x]*F[250,x,k[0]]
F[250,x,k[0]] = F[251,x,k[0]]+F[263,x,k[0]]
F[251,x,k[0]] = F[252,x,k[0]]
F[252,x,k[0]] = F[129,x,k[0]]*F[253,x]*F[91,x,k[0]]
F[253,x] = F[15,x]+F[254,x]
F[254,x] = F[24,x]+F[255,x]+F[65,x]
F[255,x] = F[12,x]*F[256,x]
F[256,x] = F[257,x]+F[258,x]
F[257,x] = F[15,x]+F[64,x]
F[258,x] = F[254,x]+F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[12,x]*F[261,x]
F[261,x] = F[262,x]+F[67,x]
F[262,x] = F[259,x]
F[263,x,k[0]] = F[264,x,1,k[0]]
F[264,x,k[0],k[1]] = (F[152,x,k[0],k[1]]*k[0]-F[152,x,1,k[1]])/(-1+k[0])
F[265,x,k[0]] = F[266,x,k[0]]
F[267,x,k[0]] = F[266,x,k[0]]+F[285,x,k[0]]
F[267,x,k[0]] = F[268,x,k[0]]
F[269,x,k[0]] = F[268,x,k[0]]*F[61,x,k[0]]
F[269,x,k[0]] = F[270,x,k[0]]
F[271,x,k[0]] = F[270,x,k[0]]+F[278,x,k[0]]
F[271,x,k[0]] = F[272,x,k[0]]
F[272,x,k[0]] = F[176,x,k[0]]*F[273,x,k[0]]
F[273,x,k[0]] = F[274,x,k[0]]
F[275,x,k[0]] = F[12,x]*F[274,x,k[0]]
F[275,x,k[0]] = F[276,x,k[0]]
F[218,x,k[0]] = F[276,x,k[0]]+F[277,x,k[0]]
F[277,x,k[0]] = F[216,x,k[0]]+F[221,x]
F[278,x,k[0]] = F[279,x,k[0]]
F[279,x,k[0]] = F[280,x,1,k[0]]
F[280,x,k[0],k[1]] = F[281,x,k[0],k[0]*k[1]]
F[281,x,k[0],k[1]] = F[282,x,k[1],k[0]]
F[282,x,k[0],k[1]] = F[283,x,k[0],k[1]]
F[283,x,k[0],k[1]] = F[12,x]*F[284,x,k[0],k[1]]
F[284,x,k[0],k[1]] = 1/(-1+k[1])*(F[199,x,k[0],k[1]]*k[1]-F[199,x,k[0],1])
F[285,x,k[0]] = F[173,x,k[0]]*F[286,x]
F[286,x] = F[229,x,1]
F[287,x,k[0]] = F[208,x,k[0]]*F[22,x]
F[288,x,k[0]] = F[289,x,k[0]]+F[61,x,k[0]]
F[289,x,k[0]] = F[24,x]+F[290,x,k[0]]+F[291,x,k[0]]
F[290,x,k[0]] = F[288,x,k[0]]*F[61,x,k[0]]
F[291,x,k[0]] = F[61,x,k[0]]*F[92,x,k[0]]
F[292,x,k[0],k[1]] = F[293,x,k[0],k[1]]
F[293,x,k[0],k[1]] = F[2,x]*F[294,x,k[0]]*F[92,x,k[1]]
F[294,x,k[0]] = F[295,x,k[0]]+F[305,x,k[0]]
F[295,x,k[0]] = F[296,x]*F[302,x,k[0]]
F[296,x] = F[22,x]+F[297,x]
F[297,x] = F[20,x]+F[298,x]
F[298,x] = F[24,x]+F[299,x]+F[301,x]
F[299,x] = F[12,x]*F[300,x]
F[300,x] = F[20,x]+F[298,x]
F[301,x] = F[12,x]*F[297,x]
F[302,x,k[0]] = F[303,x,k[0]]+F[304,x,k[0]]
F[303,x,k[0]] = F[1,x]+F[61,x,k[0]]
F[304,x,k[0]] = F[289,x,k[0]]+F[92,x,k[0]]
F[305,x,k[0]] = F[306,x]*F[91,x,k[0]]
F[306,x] = F[26,x]+F[307,x]
F[307,x] = F[23,x]+F[308,x]
F[308,x] = F[24,x]+F[309,x]+F[311,x]+F[312,x]
F[309,x] = F[12,x]*F[310,x]
F[310,x] = F[23,x]+F[308,x]
F[311,x] = F[12,x]*F[307,x]
F[312,x] = F[12,x]*F[298,x]
F[313,x,k[0],k[1]] = F[314,x,k[0],k[1]]
F[314,x,k[0],k[1]] = F[315,x,k[0],k[1]]+F[328,x,k[0],k[1]]
F[315,x,k[0],k[1]] = F[316,x,k[1]]*F[91,x,k[0]]
F[155,x,k[0]] = F[316,x,k[0]]+F[317,x,k[0]]
F[318,x,k[0]] = F[317,x,k[0]]*F[61,x,k[0]]
F[318,x,k[0]] = F[319,x,k[0]]
F[319,x,k[0]] = F[320,x,k[0]]+F[323,x,k[0]]
F[320,x,k[0]] = F[216,x,k[0]]+F[321,x,k[0]]
F[321,x,k[0]] = F[322,x,k[0]]
F[322,x,k[0]] = F[12,x]*F[271,x,k[0]]
F[323,x,k[0]] = F[324,x,k[0]]
F[324,x,k[0]] = F[2,x]*F[325,x]*F[92,x,k[0]]
F[325,x] = F[17,x]+F[326,x]
F[326,x] = F[19,x]+F[327,x]
F[327,x] = F[298,x]+F[308,x]
F[328,x,k[0],k[1]] = F[288,x,k[0]]*F[329,x,k[1]]
F[330,x,k[0]] = F[26,x]*F[329,x,k[0]]
F[331,x,k[0]] = F[330,x,k[0]]+F[344,x,k[0]]
F[331,x,k[0]] = F[332,x,k[0]]
F[333,x,k[0]] = F[332,x,k[0]]+F[342,x,k[0]]
F[334,x,k[0]] = F[12,x]^2*F[333,x,k[0]]*F[91,x,k[0]]
F[334,x,k[0]] = F[335,x,k[0]]
F[335,x,k[0]] = F[336,x,k[0]]+F[338,x,k[0]]
F[336,x,k[0]] = F[337,x,k[0]]
F[337,x,k[0]] = F[12,x]^2*F[155,x,k[0]]*F[91,x,k[0]]
F[338,x,k[0]] = F[339,x,k[0]]
F[339,x,k[0]] = F[12,x]*F[340,x,k[0]]*F[91,x,k[0]]
F[340,x,k[0]] = F[341,x,k[0]]
F[178,x,k[0]] = F[157,x,k[0]]+F[341,x,k[0]]
F[342,x,k[0]] = F[343,x,1,k[0]]
F[343,x,k[0],k[1]] = F[195,x,k[0],k[0]*k[1]]
F[344,x,k[0]] = F[22,x]*F[316,x,k[0]]
F[345,x,k[0],k[1]] = F[166,x,k[1]]*F[88,x,k[0]]
F[346,x,k[0]] = F[347,x,k[0]]
F[347,x,k[0]] = F[12,x]*F[348,x,k[0]]
F[348,x,k[0]] = F[349,x,k[0]]+F[351,x,k[0]]
F[349,x,k[0]] = F[350,x,k[0]]
F[350,x,k[0]] = F[163,x,k[0]]*F[253,x]
F[351,x,k[0]] = F[352,x,k[0],1]
F[352,x,k[0],k[1]] = (F[353,x,k[0],k[1]]*k[1]-F[353,x,k[0],1])/(-1+k[1])
F[353,x,k[0],k[1]] = F[192,x,k[1],k[0]]
F[354,x,k[0],k[1]] = F[355,x,k[0],k[1]]
F[355,x,k[0],k[1]] = F[190,x,k[0],k[1]]*F[91,x,k[1]]
F[356,x,k[0]] = F[357,x,k[0]]+F[399,x,k[0]]
F[357,x,k[0]] = F[358,x,k[0]]
F[358,x,k[0]] = F[359,x]+F[398,x,k[0]]
F[359,x] = F[0,x]+F[360,x]
F[360,x] = F[361,x]
F[361,x] = F[12,x]*F[362,x]
F[362,x] = F[363,x]+F[365,x]
F[363,x] = F[359,x]+F[364,x]
F[364,x] = F[115,x,1]
F[365,x] = F[366,x]
F[366,x] = F[12,x]*F[367,x]
F[367,x] = F[368,x,1]
F[368,x,k[0]] = F[369,x,k[0]]+F[378,x,k[0]]
F[369,x,k[0]] = F[370,x,k[0]]+F[374,x,k[0]]
F[370,x,k[0]] = F[356,x,k[0]]+F[371,x,k[0]]
F[371,x,k[0]] = F[372,x,k[0]]
F[372,x,k[0]] = F[12,x]*F[373,x,k[0]]
F[373,x,k[0]] = 1/(-1+k[0])*(F[370,x,k[0]]*k[0]-F[370,x,1])
F[374,x,k[0]] = F[117,x,k[0]]+F[375,x,k[0]]
F[375,x,k[0]] = F[376,x,k[0]]
F[376,x,k[0]] = F[12,x]*F[377,x,k[0]]
F[377,x,k[0]] = 1/(-1+k[0])*(F[374,x,k[0]]*k[0]-F[374,x,1])
F[378,x,k[0]] = F[379,x,k[0]]+F[395,x,k[0]]
F[379,x,k[0]] = 1/(-1+k[0])*(F[380,x,k[0]]*k[0]-F[380,x,1])
F[380,x,k[0]] = F[381,x,k[0]]
F[381,x,k[0]] = F[12,x]*F[382,x,k[0]]
F[382,x,k[0]] = F[383,x,k[0]]+F[389,x,k[0]]
F[383,x,k[0]] = F[384,x,k[0]]
F[384,x,k[0]] = F[385,x,1,k[0]]
F[385,x,k[0],k[1]] = F[386,x]*F[91,x,k[0]]*F[91,x,k[1]]
F[386,x] = F[387,x]+F[4,x]
F[387,x] = F[388,x]
F[388,x] = F[2,x]*F[22,x]*F[42,x]
F[389,x,k[0]] = F[390,x,k[0]]
F[391,x,k[0]] = F[390,x,k[0]]+F[393,x,k[0]]
F[392,x,k[0]] = F[12,x]*F[391,x,k[0]]
F[392,x,k[0]] = F[115,x,k[0]]
F[393,x,k[0]] = F[394,x,k[0]]
F[394,x,k[0]] = F[22,x]*F[4,x]*F[91,x,k[0]]
F[395,x,k[0]] = F[396,x,k[0]]
F[396,x,k[0]] = F[12,x]*F[397,x,k[0]]
F[397,x,k[0]] = 1/(-1+k[0])*(F[378,x,k[0]]*k[0]-F[378,x,1])
F[398,x,k[0]] = F[120,x,k[0]]
F[399,x,k[0]] = F[400,x,k[0]]
F[400,x,k[0]] = F[12,x]*F[373,x,k[0]]
F[401,x,k[0]] = F[402,x,k[0]]
F[402,x,k[0]] = F[12,x]*F[403,x,k[0]]
F[403,x,k[0]] = 1/(-1+k[0])*(F[404,x,k[0]]*k[0]-F[404,x,1])
F[404,x,k[0]] = F[374,x,k[0]]+F[378,x,k[0]]
F[405,x] = F[406,x]
F[406,x] = F[12,x]*F[407,x]
F[407,x] = F[105,x,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_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{77}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{32}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{12}\! \left(x \right) F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)
F_{18}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{23}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{25}\! \left(x \right)+F_{31}\! \left(x \right)
F_{24}\! \left(x \right) = 0
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{24}\! \left(x \right)+F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{30}\! \left(x \right) = F_{12}\! \left(x \right) F_{27}\! \left(x \right)
F_{31}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{12}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x , 1\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x \right) F_{56}\! \left(x , y\right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{53}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{2}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{1}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{12}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{18}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{43}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{24}\! \left(x \right)+F_{48}\! \left(x \right)+F_{52}\! \left(x \right)
F_{48}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)
F_{50}\! \left(x \right) = F_{12}\! \left(x \right)
F_{51}\! \left(x \right) = F_{47}\! \left(x \right)
F_{52}\! \left(x \right) = F_{12}\! \left(x \right) F_{43}\! \left(x \right)
F_{53}\! \left(x \right) = F_{10}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{2}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right)+F_{47}\! \left(x \right)
F_{56}\! \left(x , y\right) = F_{15}\! \left(x \right)+F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{24}\! \left(x \right)+F_{58}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = y x
F_{62}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = y F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{12}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{50}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{64}\! \left(x \right)
F_{68}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{15}\! \left(x \right)+F_{63}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{77}\! \left(x \right) = F_{405}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x , 1\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{80}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{86}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{1}\! \left(x \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_{61}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{56}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = -\frac{-F_{100}\! \left(x , y\right) y +F_{100}\! \left(x , 1\right)}{-1+y}
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{79}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{105}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{99}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{110}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{124}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{2}\! \left(x \right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{115}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = -\frac{-F_{115}\! \left(x , y\right) y +F_{115}\! \left(x , 1\right)}{-1+y}
F_{117}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{401}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{356}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{118}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{121}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{124}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{126}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{151}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{15}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{133}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{150}\! \left(x , y\right)+F_{24}\! \left(x \right)
F_{138}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{139}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right)+F_{143}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{141}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{142}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{92}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{144}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = 2 F_{24}\! \left(x \right)+F_{145}\! \left(x , y\right)+F_{149}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{146}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right)+F_{148}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{141}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{144}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{137}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{136}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{152}\! \left(x , 1, y\right)
F_{152}\! \left(x , y , z\right) = F_{153}\! \left(x , z\right)+F_{354}\! \left(x , y , z\right)
F_{153}\! \left(x , y\right) = F_{154}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{155}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{155}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{160}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)+F_{177}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{163}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)+F_{171}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{169}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{167}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{129}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{163}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{53}\! \left(x \right)
F_{173}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{174}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{176}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = y x
F_{177}\! \left(x , y\right) = F_{178}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{346}\! \left(x , y\right)
F_{179}\! \left(x , y\right) = F_{180}\! \left(x , 1, y\right)
F_{180}\! \left(x , y , z\right) = F_{123}\! \left(x , z\right)+F_{181}\! \left(x , y , z\right)
F_{182}\! \left(x , y , z\right) = F_{181}\! \left(x , y , z\right)+F_{345}\! \left(x , y , z\right)
F_{182}\! \left(x , y , z\right) = F_{183}\! \left(x , y , z\right)+F_{185}\! \left(x , y , z\right)
F_{183}\! \left(x , y , z\right) = F_{184}\! \left(x , y\right) F_{91}\! \left(x , z\right)
F_{184}\! \left(x , y\right) = F_{81}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{185}\! \left(x , y , z\right) = F_{186}\! \left(x , y , z\right)
F_{186}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{187}\! \left(x , y , z\right) F_{91}\! \left(x , z\right)
F_{187}\! \left(x , y , z\right) = -\frac{y \left(F_{188}\! \left(x , 1, z\right)-F_{188}\! \left(x , y , z\right)\right)}{-1+y}
F_{188}\! \left(x , y , z\right) = F_{189}\! \left(x , y , z\right)+F_{190}\! \left(x , y , z\right)
F_{189}\! \left(x , y , z\right) = F_{129}\! \left(x , z\right) F_{88}\! \left(x , y\right)
F_{190}\! \left(x , y , z\right) = F_{191}\! \left(x , y , z\right)
F_{192}\! \left(x , y , z\right) = F_{157}\! \left(x , z\right)+F_{191}\! \left(x , y , z\right)
F_{192}\! \left(x , y , z\right) = F_{193}\! \left(x , y , z\right)
F_{193}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{194}\! \left(x , y , z\right)
F_{194}\! \left(x , y , z\right) = F_{195}\! \left(x , y , z\right)+F_{313}\! \left(x , y , z\right)
F_{196}\! \left(x , y , z\right) = F_{195}\! \left(x , y , z\right) F_{61}\! \left(x , z\right)
F_{196}\! \left(x , y , z\right) = F_{197}\! \left(x , y , z\right)
F_{197}\! \left(x , y , z\right) = F_{198}\! \left(x , y , z\right)+F_{292}\! \left(x , y , z\right)
F_{198}\! \left(x , y , z\right) = F_{199}\! \left(x , z , y\right)
F_{199}\! \left(x , y , z\right) = F_{200}\! \left(x , y , z\right)+F_{282}\! \left(x , y , z\right)
F_{200}\! \left(x , y , z\right) = F_{201}\! \left(x , z , y\right)
F_{201}\! \left(x , y , z\right) = F_{202}\! \left(x , y , z\right) F_{61}\! \left(x , z\right)
F_{203}\! \left(x , y , z\right) = F_{202}\! \left(x , y , z\right)+F_{205}\! \left(x , y , z\right)
F_{204}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{203}\! \left(x , y , z\right)
F_{204}\! \left(x , y , z\right) = F_{180}\! \left(x , y , z\right)
F_{205}\! \left(x , y , z\right) = F_{206}\! \left(x , y , z\right)
F_{206}\! \left(x , y , z\right) = F_{207}\! \left(x , y , z\right)+F_{242}\! \left(x , y , z\right)
F_{207}\! \left(x , y , z\right) = F_{208}\! \left(x , z\right) F_{91}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = F_{208}\! \left(x , y\right)+F_{211}\! \left(x , y\right)
F_{210}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{209}\! \left(x , y\right)
F_{210}\! \left(x , y\right) = F_{124}\! \left(x , y\right)
F_{211}\! \left(x , y\right) = F_{212}\! \left(x , y\right)
F_{213}\! \left(x , y\right) = F_{212}\! \left(x , y\right)+F_{241}\! \left(x , y\right)
F_{213}\! \left(x , y\right) = F_{214}\! \left(x , y\right)
F_{215}\! \left(x , y\right) = F_{214}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{215}\! \left(x , y\right) = F_{216}\! \left(x , y\right)
F_{216}\! \left(x , y\right) = F_{217}\! \left(x , y\right)
F_{217}\! \left(x , y\right) = F_{218}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{218}\! \left(x , y\right) = F_{219}\! \left(x , 1, y\right)
F_{219}\! \left(x , y , z\right) = F_{220}\! \left(x , y\right)+F_{238}\! \left(x , y , z\right)
F_{220}\! \left(x , y\right) = F_{221}\! \left(x \right)+F_{223}\! \left(x , y\right)
F_{221}\! \left(x \right) = \frac{F_{222}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{222}\! \left(x \right) = F_{2}\! \left(x \right)
F_{223}\! \left(x , y\right) = F_{224}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = y F_{225}\! \left(x , y\right)
F_{225}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{226}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{227}\! \left(x , y , 1\right)
F_{227}\! \left(x , y , z\right) = F_{228}\! \left(x , y , z\right)+F_{235}\! \left(x , y , z\right)
F_{228}\! \left(x , y , z\right) = F_{229}\! \left(x , z\right)+F_{231}\! \left(x , y , z\right)
F_{230}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{229}\! \left(x , y\right)
F_{230}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{231}\! \left(x , y , z\right) = F_{232}\! \left(x , y , z\right)
F_{232}\! \left(x , y , z\right) = -\frac{-F_{233}\! \left(x , y , z\right) z +F_{233}\! \left(x , y , 1\right)}{-1+z}
F_{233}\! \left(x , y , z\right) = y F_{234}\! \left(x , y , z\right)
F_{234}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{227}\! \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_{12}\! \left(x \right) F_{237}\! \left(x , y , z\right)
F_{237}\! \left(x , y , z\right) = -\frac{-F_{227}\! \left(x , y , z\right) z +F_{227}\! \left(x , y , 1\right)}{-1+z}
F_{238}\! \left(x , y , z\right) = F_{239}\! \left(x , y , z\right)
F_{239}\! \left(x , y , z\right) = F_{240}\! \left(x , y , z\right) F_{61}\! \left(x , z\right)
F_{240}\! \left(x , y , z\right) = -\frac{-F_{219}\! \left(x , y , z\right) y +F_{219}\! \left(x , 1, z\right)}{-1+y}
F_{241}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{221}\! \left(x \right)
F_{242}\! \left(x , y , z\right) = F_{243}\! \left(x , z\right) F_{288}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{243}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{245}\! \left(x , y\right) = F_{244}\! \left(x , y\right)+F_{287}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{246}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{246}\! \left(x , y\right)+F_{265}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{247}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{249}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{250}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{251}\! \left(x , y\right)+F_{263}\! \left(x , y\right)
F_{251}\! \left(x , y\right) = F_{252}\! \left(x , y\right)
F_{252}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{253}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{253}\! \left(x \right) = F_{15}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{24}\! \left(x \right)+F_{255}\! \left(x \right)+F_{65}\! \left(x \right)
F_{255}\! \left(x \right) = F_{12}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{258}\! \left(x \right)
F_{257}\! \left(x \right) = F_{15}\! \left(x \right)+F_{64}\! \left(x \right)
F_{258}\! \left(x \right) = F_{254}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{12}\! \left(x \right) F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{67}\! \left(x \right)
F_{262}\! \left(x \right) = F_{259}\! \left(x \right)
F_{263}\! \left(x , y\right) = F_{264}\! \left(x , 1, y\right)
F_{264}\! \left(x , y , z\right) = -\frac{-F_{152}\! \left(x , y , z\right) y +F_{152}\! \left(x , 1, z\right)}{-1+y}
F_{265}\! \left(x , y\right) = F_{266}\! \left(x , y\right)
F_{267}\! \left(x , y\right) = F_{266}\! \left(x , y\right)+F_{285}\! \left(x , y\right)
F_{267}\! \left(x , y\right) = F_{268}\! \left(x , y\right)
F_{269}\! \left(x , y\right) = F_{268}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{269}\! \left(x , y\right) = F_{270}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{270}\! \left(x , y\right)+F_{278}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{272}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{176}\! \left(x , y\right) F_{273}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{274}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{274}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{276}\! \left(x , y\right)
F_{218}\! \left(x , y\right) = F_{276}\! \left(x , y\right)+F_{277}\! \left(x , y\right)
F_{277}\! \left(x , y\right) = F_{216}\! \left(x , y\right)+F_{221}\! \left(x \right)
F_{278}\! \left(x , y\right) = F_{279}\! \left(x , y\right)
F_{279}\! \left(x , y\right) = F_{280}\! \left(x , 1, y\right)
F_{280}\! \left(x , y , z\right) = F_{281}\! \left(x , y , y z \right)
F_{281}\! \left(x , y , z\right) = F_{282}\! \left(x , z , y\right)
F_{282}\! \left(x , y , z\right) = F_{283}\! \left(x , y , z\right)
F_{283}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{284}\! \left(x , y , z\right)
F_{284}\! \left(x , y , z\right) = -\frac{-F_{199}\! \left(x , y , z\right) z +F_{199}\! \left(x , y , 1\right)}{-1+z}
F_{285}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{229}\! \left(x , 1\right)
F_{287}\! \left(x , y\right) = F_{208}\! \left(x , y\right) F_{22}\! \left(x \right)
F_{288}\! \left(x , y\right) = F_{289}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{24}\! \left(x \right)+F_{290}\! \left(x , y\right)+F_{291}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{288}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{92}\! \left(x , y\right)
F_{292}\! \left(x , y , z\right) = F_{293}\! \left(x , y , z\right)
F_{293}\! \left(x , y , z\right) = F_{2}\! \left(x \right) F_{294}\! \left(x , y\right) F_{92}\! \left(x , z\right)
F_{294}\! \left(x , y\right) = F_{295}\! \left(x , y\right)+F_{305}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{296}\! \left(x \right) F_{302}\! \left(x , y\right)
F_{296}\! \left(x \right) = F_{22}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{20}\! \left(x \right)+F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{24}\! \left(x \right)+F_{299}\! \left(x \right)+F_{301}\! \left(x \right)
F_{299}\! \left(x \right) = F_{12}\! \left(x \right) F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{20}\! \left(x \right)+F_{298}\! \left(x \right)
F_{301}\! \left(x \right) = F_{12}\! \left(x \right) F_{297}\! \left(x \right)
F_{302}\! \left(x , y\right) = F_{303}\! \left(x , y\right)+F_{304}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{61}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{289}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{306}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{306}\! \left(x \right) = F_{26}\! \left(x \right)+F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{23}\! \left(x \right)+F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{24}\! \left(x \right)+F_{309}\! \left(x \right)+F_{311}\! \left(x \right)+F_{312}\! \left(x \right)
F_{309}\! \left(x \right) = F_{12}\! \left(x \right) F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{23}\! \left(x \right)+F_{308}\! \left(x \right)
F_{311}\! \left(x \right) = F_{12}\! \left(x \right) F_{307}\! \left(x \right)
F_{312}\! \left(x \right) = F_{12}\! \left(x \right) F_{298}\! \left(x \right)
F_{313}\! \left(x , y , z\right) = F_{314}\! \left(x , y , z\right)
F_{314}\! \left(x , y , z\right) = F_{315}\! \left(x , y , z\right)+F_{328}\! \left(x , y , z\right)
F_{315}\! \left(x , y , z\right) = F_{316}\! \left(x , z\right) F_{91}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{316}\! \left(x , y\right)+F_{317}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{317}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{319}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{320}\! \left(x , y\right)+F_{323}\! \left(x , y\right)
F_{320}\! \left(x , y\right) = F_{216}\! \left(x , y\right)+F_{321}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{322}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{271}\! \left(x , y\right)
F_{323}\! \left(x , y\right) = F_{324}\! \left(x , y\right)
F_{324}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{325}\! \left(x \right) F_{92}\! \left(x , y\right)
F_{325}\! \left(x \right) = F_{17}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{19}\! \left(x \right)+F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{298}\! \left(x \right)+F_{308}\! \left(x \right)
F_{328}\! \left(x , y , z\right) = F_{288}\! \left(x , y\right) F_{329}\! \left(x , z\right)
F_{330}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{329}\! \left(x , y\right)
F_{331}\! \left(x , y\right) = F_{330}\! \left(x , y\right)+F_{344}\! \left(x , y\right)
F_{331}\! \left(x , y\right) = F_{332}\! \left(x , y\right)
F_{333}\! \left(x , y\right) = F_{332}\! \left(x , y\right)+F_{342}\! \left(x , y\right)
F_{334}\! \left(x , y\right) = F_{12} \left(x \right)^{2} F_{333}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{334}\! \left(x , y\right) = F_{335}\! \left(x , y\right)
F_{335}\! \left(x , y\right) = F_{336}\! \left(x , y\right)+F_{338}\! \left(x , y\right)
F_{336}\! \left(x , y\right) = F_{337}\! \left(x , y\right)
F_{337}\! \left(x , y\right) = F_{12} \left(x \right)^{2} F_{155}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{338}\! \left(x , y\right) = F_{339}\! \left(x , y\right)
F_{339}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{340}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{340}\! \left(x , y\right) = F_{341}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{157}\! \left(x , y\right)+F_{341}\! \left(x , y\right)
F_{342}\! \left(x , y\right) = F_{343}\! \left(x , 1, y\right)
F_{343}\! \left(x , y , z\right) = F_{195}\! \left(x , y , y z \right)
F_{344}\! \left(x , y\right) = F_{22}\! \left(x \right) F_{316}\! \left(x , y\right)
F_{345}\! \left(x , y , z\right) = F_{166}\! \left(x , z\right) F_{88}\! \left(x , y\right)
F_{346}\! \left(x , y\right) = F_{347}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{348}\! \left(x , y\right)
F_{348}\! \left(x , y\right) = F_{349}\! \left(x , y\right)+F_{351}\! \left(x , y\right)
F_{349}\! \left(x , y\right) = F_{350}\! \left(x , y\right)
F_{350}\! \left(x , y\right) = F_{163}\! \left(x , y\right) F_{253}\! \left(x \right)
F_{351}\! \left(x , y\right) = F_{352}\! \left(x , y , 1\right)
F_{352}\! \left(x , y , z\right) = -\frac{-z F_{353}\! \left(x , y , z\right)+F_{353}\! \left(x , y , 1\right)}{-1+z}
F_{353}\! \left(x , y , z\right) = F_{192}\! \left(x , z , y\right)
F_{354}\! \left(x , y , z\right) = F_{355}\! \left(x , y , z\right)
F_{355}\! \left(x , y , z\right) = F_{190}\! \left(x , y , z\right) F_{91}\! \left(x , z\right)
F_{356}\! \left(x , y\right) = F_{357}\! \left(x , y\right)+F_{399}\! \left(x , y\right)
F_{357}\! \left(x , y\right) = F_{358}\! \left(x , y\right)
F_{358}\! \left(x , y\right) = F_{359}\! \left(x \right)+F_{398}\! \left(x , y\right)
F_{359}\! \left(x \right) = F_{0}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{12}\! \left(x \right) F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right)+F_{365}\! \left(x \right)
F_{363}\! \left(x \right) = F_{359}\! \left(x \right)+F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{115}\! \left(x , 1\right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{12}\! \left(x \right) F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x , 1\right)
F_{368}\! \left(x , y\right) = F_{369}\! \left(x , y\right)+F_{378}\! \left(x , y\right)
F_{369}\! \left(x , y\right) = F_{370}\! \left(x , y\right)+F_{374}\! \left(x , y\right)
F_{370}\! \left(x , y\right) = F_{356}\! \left(x , y\right)+F_{371}\! \left(x , y\right)
F_{371}\! \left(x , y\right) = F_{372}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{373}\! \left(x , y\right)
F_{373}\! \left(x , y\right) = -\frac{-F_{370}\! \left(x , y\right) y +F_{370}\! \left(x , 1\right)}{-1+y}
F_{374}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{375}\! \left(x , y\right)
F_{375}\! \left(x , y\right) = F_{376}\! \left(x , y\right)
F_{376}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{377}\! \left(x , y\right)
F_{377}\! \left(x , y\right) = -\frac{-F_{374}\! \left(x , y\right) y +F_{374}\! \left(x , 1\right)}{-1+y}
F_{378}\! \left(x , y\right) = F_{379}\! \left(x , y\right)+F_{395}\! \left(x , y\right)
F_{379}\! \left(x , y\right) = -\frac{-F_{380}\! \left(x , y\right) y +F_{380}\! \left(x , 1\right)}{-1+y}
F_{380}\! \left(x , y\right) = F_{381}\! \left(x , y\right)
F_{381}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{382}\! \left(x , y\right)
F_{382}\! \left(x , y\right) = F_{383}\! \left(x , y\right)+F_{389}\! \left(x , y\right)
F_{383}\! \left(x , y\right) = F_{384}\! \left(x , y\right)
F_{384}\! \left(x , y\right) = F_{385}\! \left(x , 1, y\right)
F_{385}\! \left(x , y , z\right) = F_{386}\! \left(x \right) F_{91}\! \left(x , y\right) F_{91}\! \left(x , z\right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)+F_{4}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right) F_{42}\! \left(x \right)
F_{389}\! \left(x , y\right) = F_{390}\! \left(x , y\right)
F_{391}\! \left(x , y\right) = F_{390}\! \left(x , y\right)+F_{393}\! \left(x , y\right)
F_{392}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{391}\! \left(x , y\right)
F_{392}\! \left(x , y\right) = F_{115}\! \left(x , y\right)
F_{393}\! \left(x , y\right) = F_{394}\! \left(x , y\right)
F_{394}\! \left(x , y\right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{395}\! \left(x , y\right) = F_{396}\! \left(x , y\right)
F_{396}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{397}\! \left(x , y\right)
F_{397}\! \left(x , y\right) = -\frac{-F_{378}\! \left(x , y\right) y +F_{378}\! \left(x , 1\right)}{-1+y}
F_{398}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{399}\! \left(x , y\right) = F_{400}\! \left(x , y\right)
F_{400}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{373}\! \left(x , y\right)
F_{401}\! \left(x , y\right) = F_{402}\! \left(x , y\right)
F_{402}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{403}\! \left(x , y\right)
F_{403}\! \left(x , y\right) = -\frac{-y F_{404}\! \left(x , y\right)+F_{404}\! \left(x , 1\right)}{-1+y}
F_{404}\! \left(x , y\right) = F_{374}\! \left(x , y\right)+F_{378}\! \left(x , y\right)
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{12}\! \left(x \right) F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{105}\! \left(x , 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_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_12(x)*F_7(x))
Eq(F_7(x), F_77(x) + F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_0(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_7(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_32(x))
Eq(F_14(x), F_0(x)*F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_12(x)*F_17(x))
Eq(F_17(x), F_18(x) + F_19(x))
Eq(F_18(x), F_1(x) + F_12(x))
Eq(F_19(x), F_20(x) + F_23(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_1(x) + F_20(x))
Eq(F_23(x), F_24(x) + F_25(x) + F_31(x))
Eq(F_24(x), 0)
Eq(F_25(x), F_12(x)*F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_12(x) + F_28(x))
Eq(F_28(x), F_24(x) + F_29(x) + F_30(x))
Eq(F_29(x), F_12(x)*F_20(x))
Eq(F_30(x), F_12(x)*F_27(x))
Eq(F_31(x), F_12(x)*F_20(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_12(x)*F_34(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_15(x)*F_7(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x, 1))
Eq(F_38(x, k_0), F_39(x)*F_56(x, k_0))
Eq(F_39(x), F_40(x) + F_53(x))
Eq(F_40(x), F_0(x) + F_41(x))
Eq(F_41(x), F_2(x)*F_42(x))
Eq(F_42(x), F_1(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_12(x)*F_45(x))
Eq(F_45(x), F_18(x) + F_46(x))
Eq(F_46(x), F_43(x) + F_47(x))
Eq(F_47(x), F_24(x) + F_48(x) + F_52(x))
Eq(F_48(x), F_12(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_51(x))
Eq(F_50(x), F_12(x))
Eq(F_51(x), F_47(x))
Eq(F_52(x), F_12(x)*F_43(x))
Eq(F_53(x), F_10(x) + F_54(x))
Eq(F_54(x), F_2(x)*F_55(x))
Eq(F_55(x), F_12(x) + F_47(x))
Eq(F_56(x, k_0), F_15(x) + F_57(x, k_0))
Eq(F_57(x, k_0), F_24(x) + F_58(x, k_0) + F_68(x, k_0))
Eq(F_58(x, k_0), F_12(x)*F_59(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0) + F_62(x, k_0))
Eq(F_60(x, k_0), F_61(x, k_0))
Eq(F_61(x, k_0), k_0*x)
Eq(F_62(x, k_0), F_63(x, k_0))
Eq(F_63(x, k_0), k_0*F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_12(x)*F_66(x))
Eq(F_66(x), F_50(x) + F_67(x))
Eq(F_67(x), F_64(x))
Eq(F_68(x, k_0), F_61(x, k_0)*F_69(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0) + F_71(x, k_0))
Eq(F_70(x, k_0), F_15(x) + F_63(x, k_0))
Eq(F_71(x, k_0), F_57(x, k_0) + F_72(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0))
Eq(F_73(x, k_0), F_61(x, k_0)*F_74(x, k_0))
Eq(F_74(x, k_0), F_75(x, k_0) + F_76(x, k_0))
Eq(F_75(x, k_0), F_63(x, k_0))
Eq(F_76(x, k_0), F_72(x, k_0))
Eq(F_77(x), F_405(x) + F_78(x))
Eq(F_78(x), F_79(x, 1))
Eq(F_79(x, k_0), F_80(x, k_0) + F_95(x, k_0))
Eq(F_80(x, k_0), F_2(x) + F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0))
Eq(F_82(x, k_0), F_61(x, k_0)*F_83(x, k_0))
Eq(F_83(x, k_0), F_80(x, k_0) + F_84(x, k_0))
Eq(F_84(x, k_0), F_106(x, k_0) + F_85(x, k_0))
Eq(F_85(x, k_0), F_86(x, k_0) + F_95(x, k_0))
Eq(F_86(x, k_0), F_2(x)*F_87(x, k_0))
Eq(F_87(x, k_0), F_1(x) + F_88(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0))
Eq(F_89(x, k_0), F_61(x, k_0)*F_90(x, k_0))
Eq(F_90(x, k_0), F_91(x, k_0) + F_94(x, k_0))
Eq(F_91(x, k_0), F_1(x) + F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_93(x, k_0), F_61(x, k_0)*F_91(x, k_0))
Eq(F_94(x, k_0), F_89(x, k_0))
Eq(F_95(x, k_0), F_96(x, k_0))
Eq(F_96(x, k_0), F_12(x)*F_97(x, k_0))
Eq(F_97(x, k_0), F_98(x, k_0) + F_99(x, k_0))
Eq(F_98(x, k_0), F_4(x)*F_56(x, k_0))
Eq(F_99(x, k_0), (k_0*F_100(x, k_0) - F_100(x, 1))/(k_0 - 1))
Eq(F_100(x, k_0), F_101(x, k_0) + F_79(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0)*F_12(x))
Eq(F_103(x, k_0), F_104(x, k_0) + F_105(x, k_0))
Eq(F_104(x, k_0), F_38(x, k_0))
Eq(F_105(x, k_0), F_99(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0)*F_61(x, k_0))
Eq(F_108(x, k_0), F_109(x, k_0) + F_110(x, k_0))
Eq(F_109(x, k_0), F_2(x)*F_91(x, k_0))
Eq(F_110(x, k_0), F_111(x, k_0) + F_124(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0) + F_2(x))
Eq(F_112(x, k_0), F_113(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0)*F_61(x, k_0))
Eq(F_114(x, k_0), F_111(x, k_0) + F_115(x, k_0))
Eq(F_116(x, k_0), (k_0*F_115(x, k_0) - F_115(x, 1))/(k_0 - 1))
Eq(F_117(x, k_0), F_116(x, k_0) + F_401(x, k_0))
Eq(F_118(x, k_0), F_117(x, k_0) + F_356(x, k_0))
Eq(F_119(x, k_0), F_118(x, k_0)*F_61(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0)*F_61(x, k_0))
Eq(F_122(x, k_0), F_12(x)*F_121(x, k_0))
Eq(F_122(x, k_0), F_123(x, k_0))
Eq(F_123(x, k_0), F_109(x, k_0) + F_124(x, k_0))
Eq(F_124(x, k_0), F_125(x, k_0))
Eq(F_125(x, k_0), F_12(x)*F_126(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0) + F_151(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0)*F_15(x)*F_91(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0) + F_4(x))
Eq(F_130(x, k_0), F_131(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0)*F_61(x, k_0))
Eq(F_132(x, k_0), F_129(x, k_0) + F_133(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0)*F_2(x)*F_22(x))
Eq(F_135(x, k_0), F_136(x, k_0) + F_91(x, k_0))
Eq(F_136(x, k_0), F_137(x, k_0) + F_43(x))
Eq(F_137(x, k_0), F_138(x, k_0) + F_150(x, k_0) + F_24(x))
Eq(F_138(x, k_0), F_12(x)*F_139(x, k_0))
Eq(F_139(x, k_0), F_140(x, k_0) + F_143(x, k_0))
Eq(F_140(x, k_0), F_141(x, k_0) + F_92(x, k_0))
Eq(F_141(x, k_0), F_142(x, k_0))
Eq(F_142(x, k_0), F_12(x)*F_92(x, k_0))
Eq(F_143(x, k_0), F_137(x, k_0) + F_144(x, k_0))
Eq(F_144(x, k_0), F_145(x, k_0) + F_149(x, k_0) + 2*F_24(x))
Eq(F_145(x, k_0), F_12(x)*F_146(x, k_0))
Eq(F_146(x, k_0), F_147(x, k_0) + F_148(x, k_0))
Eq(F_147(x, k_0), F_141(x, k_0))
Eq(F_148(x, k_0), F_144(x, k_0))
Eq(F_149(x, k_0), F_12(x)*F_137(x, k_0))
Eq(F_150(x, k_0), F_136(x, k_0)*F_61(x, k_0))
Eq(F_151(x, k_0), F_152(x, 1, k_0))
Eq(F_152(x, k_0, k_1), F_153(x, k_1) + F_354(x, k_0, k_1))
Eq(F_153(x, k_0), F_154(x, k_0))
Eq(F_154(x, k_0), F_12(x)*F_155(x, k_0)*F_91(x, k_0))
Eq(F_156(x, k_0), F_12(x)*F_155(x, k_0))
Eq(F_156(x, k_0), F_157(x, k_0))
Eq(F_157(x, k_0), F_123(x, k_0) + F_158(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0))
Eq(F_159(x, k_0), F_12(x)*F_160(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0) + F_177(x, k_0))
Eq(F_161(x, k_0), F_162(x, k_0))
Eq(F_162(x, k_0), F_15(x)*F_163(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0) + F_171(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0) + F_169(x, k_0))
Eq(F_166(x, k_0), F_167(x, k_0) + F_91(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0))
Eq(F_168(x, k_0), F_12(x)*F_129(x, k_0)*F_91(x, k_0))
Eq(F_169(x, k_0), F_170(x, k_0))
Eq(F_170(x, k_0), F_12(x)*F_163(x, k_0))
Eq(F_171(x, k_0), F_172(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0)*F_53(x))
Eq(F_173(x, k_0), F_1(x) + F_174(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0))
Eq(F_175(x, k_0), F_173(x, k_0)*F_176(x, k_0))
Eq(F_176(x, k_0), k_0*x)
Eq(F_177(x, k_0), F_178(x, k_0))
Eq(F_178(x, k_0), F_179(x, k_0) + F_346(x, k_0))
Eq(F_179(x, k_0), F_180(x, 1, k_0))
Eq(F_180(x, k_0, k_1), F_123(x, k_1) + F_181(x, k_0, k_1))
Eq(F_182(x, k_0, k_1), F_181(x, k_0, k_1) + F_345(x, k_0, k_1))
Eq(F_182(x, k_0, k_1), F_183(x, k_0, k_1) + F_185(x, k_0, k_1))
Eq(F_183(x, k_0, k_1), F_184(x, k_0)*F_91(x, k_1))
Eq(F_184(x, k_0), F_81(x, k_0) + F_88(x, k_0))
Eq(F_185(x, k_0, k_1), F_186(x, k_0, k_1))
Eq(F_186(x, k_0, k_1), F_12(x)*F_187(x, k_0, k_1)*F_91(x, k_1))
Eq(F_187(x, k_0, k_1), -F_188(x, 1, k_1) + (k_0*F_188(x, k_0, k_1) - F_188(x, 1, k_1))/(k_0 - 1))
Eq(F_188(x, k_0, k_1), F_189(x, k_0, k_1) + F_190(x, k_0, k_1))
Eq(F_189(x, k_0, k_1), F_129(x, k_1)*F_88(x, k_0))
Eq(F_190(x, k_0, k_1), F_191(x, k_0, k_1))
Eq(F_192(x, k_0, k_1), F_157(x, k_1) + F_191(x, k_0, k_1))
Eq(F_192(x, k_0, k_1), F_193(x, k_0, k_1))
Eq(F_193(x, k_0, k_1), F_12(x)*F_194(x, k_0, k_1))
Eq(F_194(x, k_0, k_1), F_195(x, k_0, k_1) + F_313(x, k_0, k_1))
Eq(F_196(x, k_0, k_1), F_195(x, k_0, k_1)*F_61(x, k_1))
Eq(F_196(x, k_0, k_1), F_197(x, k_0, k_1))
Eq(F_197(x, k_0, k_1), F_198(x, k_0, k_1) + F_292(x, k_0, k_1))
Eq(F_198(x, k_0, k_1), F_199(x, k_1, k_0))
Eq(F_199(x, k_0, k_1), F_200(x, k_0, k_1) + F_282(x, k_0, k_1))
Eq(F_200(x, k_0, k_1), F_201(x, k_1, k_0))
Eq(F_201(x, k_0, k_1), F_202(x, k_0, k_1)*F_61(x, k_1))
Eq(F_203(x, k_0, k_1), F_202(x, k_0, k_1) + F_205(x, k_0, k_1))
Eq(F_204(x, k_0, k_1), F_12(x)*F_203(x, k_0, k_1))
Eq(F_204(x, k_0, k_1), F_180(x, k_0, k_1))
Eq(F_205(x, k_0, k_1), F_206(x, k_0, k_1))
Eq(F_206(x, k_0, k_1), F_207(x, k_0, k_1) + F_242(x, k_0, k_1))
Eq(F_207(x, k_0, k_1), F_208(x, k_1)*F_91(x, k_0))
Eq(F_209(x, k_0), F_208(x, k_0) + F_211(x, k_0))
Eq(F_210(x, k_0), F_12(x)*F_209(x, k_0))
Eq(F_210(x, k_0), F_124(x, k_0))
Eq(F_211(x, k_0), F_212(x, k_0))
Eq(F_213(x, k_0), F_212(x, k_0) + F_241(x, k_0))
Eq(F_213(x, k_0), F_214(x, k_0))
Eq(F_215(x, k_0), F_214(x, k_0)*F_61(x, k_0))
Eq(F_215(x, k_0), F_216(x, k_0))
Eq(F_216(x, k_0), F_217(x, k_0))
Eq(F_217(x, k_0), F_218(x, k_0)*F_61(x, k_0))
Eq(F_218(x, k_0), F_219(x, 1, k_0))
Eq(F_219(x, k_0, k_1), F_220(x, k_0) + F_238(x, k_0, k_1))
Eq(F_220(x, k_0), F_221(x) + F_223(x, k_0))
Eq(F_221(x), F_222(x)/F_12(x))
Eq(F_222(x), F_2(x))
Eq(F_223(x, k_0), F_224(x, k_0))
Eq(F_224(x, k_0), k_0*F_225(x, k_0))
Eq(F_225(x, k_0), F_12(x)*F_226(x, k_0))
Eq(F_226(x, k_0), F_227(x, k_0, 1))
Eq(F_227(x, k_0, k_1), F_228(x, k_0, k_1) + F_235(x, k_0, k_1))
Eq(F_228(x, k_0, k_1), F_229(x, k_1) + F_231(x, k_0, k_1))
Eq(F_230(x, k_0), F_12(x)*F_229(x, k_0))
Eq(F_230(x, k_0), F_80(x, k_0))
Eq(F_231(x, k_0, k_1), F_232(x, k_0, k_1))
Eq(F_232(x, k_0, k_1), (k_1*F_233(x, k_0, k_1) - F_233(x, k_0, 1))/(k_1 - 1))
Eq(F_233(x, k_0, k_1), k_0*F_234(x, k_0, k_1))
Eq(F_234(x, k_0, k_1), F_12(x)*F_227(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_12(x)*F_237(x, k_0, k_1))
Eq(F_237(x, k_0, k_1), (k_1*F_227(x, k_0, k_1) - F_227(x, k_0, 1))/(k_1 - 1))
Eq(F_238(x, k_0, k_1), F_239(x, k_0, k_1))
Eq(F_239(x, k_0, k_1), F_240(x, k_0, k_1)*F_61(x, k_1))
Eq(F_240(x, k_0, k_1), (-k_0*F_219(x, k_0, k_1) + F_219(x, 1, k_1))/(1 - k_0))
Eq(F_241(x, k_0), F_173(x, k_0)*F_221(x))
Eq(F_242(x, k_0, k_1), F_243(x, k_1)*F_288(x, k_0))
Eq(F_244(x, k_0), F_243(x, k_0)*F_26(x))
Eq(F_245(x, k_0), F_244(x, k_0) + F_287(x, k_0))
Eq(F_245(x, k_0), F_246(x, k_0))
Eq(F_247(x, k_0), F_246(x, k_0) + F_265(x, k_0))
Eq(F_248(x, k_0), F_12(x)*F_247(x, k_0))
Eq(F_248(x, k_0), F_249(x, k_0))
Eq(F_249(x, k_0), F_12(x)*F_250(x, k_0))
Eq(F_250(x, k_0), F_251(x, k_0) + F_263(x, k_0))
Eq(F_251(x, k_0), F_252(x, k_0))
Eq(F_252(x, k_0), F_129(x, k_0)*F_253(x)*F_91(x, k_0))
Eq(F_253(x), F_15(x) + F_254(x))
Eq(F_254(x), F_24(x) + F_255(x) + F_65(x))
Eq(F_255(x), F_12(x)*F_256(x))
Eq(F_256(x), F_257(x) + F_258(x))
Eq(F_257(x), F_15(x) + F_64(x))
Eq(F_258(x), F_254(x) + F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_12(x)*F_261(x))
Eq(F_261(x), F_262(x) + F_67(x))
Eq(F_262(x), F_259(x))
Eq(F_263(x, k_0), F_264(x, 1, k_0))
Eq(F_264(x, k_0, k_1), (-k_0*F_152(x, k_0, k_1) + F_152(x, 1, k_1))/(1 - k_0))
Eq(F_265(x, k_0), F_266(x, k_0))
Eq(F_267(x, k_0), F_266(x, k_0) + F_285(x, k_0))
Eq(F_267(x, k_0), F_268(x, k_0))
Eq(F_269(x, k_0), F_268(x, k_0)*F_61(x, k_0))
Eq(F_269(x, k_0), F_270(x, k_0))
Eq(F_271(x, k_0), F_270(x, k_0) + F_278(x, k_0))
Eq(F_271(x, k_0), F_272(x, k_0))
Eq(F_272(x, k_0), F_176(x, k_0)*F_273(x, k_0))
Eq(F_273(x, k_0), F_274(x, k_0))
Eq(F_275(x, k_0), F_12(x)*F_274(x, k_0))
Eq(F_275(x, k_0), F_276(x, k_0))
Eq(F_218(x, k_0), F_276(x, k_0) + F_277(x, k_0))
Eq(F_277(x, k_0), F_216(x, k_0) + F_221(x))
Eq(F_278(x, k_0), F_279(x, k_0))
Eq(F_279(x, k_0), F_280(x, 1, k_0))
Eq(F_280(x, k_0, k_1), F_281(x, k_0, k_0*k_1))
Eq(F_281(x, k_0, k_1), F_282(x, k_1, k_0))
Eq(F_282(x, k_0, k_1), F_283(x, k_0, k_1))
Eq(F_283(x, k_0, k_1), F_12(x)*F_284(x, k_0, k_1))
Eq(F_284(x, k_0, k_1), (k_1*F_199(x, k_0, k_1) - F_199(x, k_0, 1))/(k_1 - 1))
Eq(F_285(x, k_0), F_173(x, k_0)*F_286(x))
Eq(F_286(x), F_229(x, 1))
Eq(F_287(x, k_0), F_208(x, k_0)*F_22(x))
Eq(F_288(x, k_0), F_289(x, k_0) + F_61(x, k_0))
Eq(F_289(x, k_0), F_24(x) + F_290(x, k_0) + F_291(x, k_0))
Eq(F_290(x, k_0), F_288(x, k_0)*F_61(x, k_0))
Eq(F_291(x, k_0), F_61(x, k_0)*F_92(x, k_0))
Eq(F_292(x, k_0, k_1), F_293(x, k_0, k_1))
Eq(F_293(x, k_0, k_1), F_2(x)*F_294(x, k_0)*F_92(x, k_1))
Eq(F_294(x, k_0), F_295(x, k_0) + F_305(x, k_0))
Eq(F_295(x, k_0), F_296(x)*F_302(x, k_0))
Eq(F_296(x), F_22(x) + F_297(x))
Eq(F_297(x), F_20(x) + F_298(x))
Eq(F_298(x), F_24(x) + F_299(x) + F_301(x))
Eq(F_299(x), F_12(x)*F_300(x))
Eq(F_300(x), F_20(x) + F_298(x))
Eq(F_301(x), F_12(x)*F_297(x))
Eq(F_302(x, k_0), F_303(x, k_0) + F_304(x, k_0))
Eq(F_303(x, k_0), F_1(x) + F_61(x, k_0))
Eq(F_304(x, k_0), F_289(x, k_0) + F_92(x, k_0))
Eq(F_305(x, k_0), F_306(x)*F_91(x, k_0))
Eq(F_306(x), F_26(x) + F_307(x))
Eq(F_307(x), F_23(x) + F_308(x))
Eq(F_308(x), F_24(x) + F_309(x) + F_311(x) + F_312(x))
Eq(F_309(x), F_12(x)*F_310(x))
Eq(F_310(x), F_23(x) + F_308(x))
Eq(F_311(x), F_12(x)*F_307(x))
Eq(F_312(x), F_12(x)*F_298(x))
Eq(F_313(x, k_0, k_1), F_314(x, k_0, k_1))
Eq(F_314(x, k_0, k_1), F_315(x, k_0, k_1) + F_328(x, k_0, k_1))
Eq(F_315(x, k_0, k_1), F_316(x, k_1)*F_91(x, k_0))
Eq(F_155(x, k_0), F_316(x, k_0) + F_317(x, k_0))
Eq(F_318(x, k_0), F_317(x, k_0)*F_61(x, k_0))
Eq(F_318(x, k_0), F_319(x, k_0))
Eq(F_319(x, k_0), F_320(x, k_0) + F_323(x, k_0))
Eq(F_320(x, k_0), F_216(x, k_0) + F_321(x, k_0))
Eq(F_321(x, k_0), F_322(x, k_0))
Eq(F_322(x, k_0), F_12(x)*F_271(x, k_0))
Eq(F_323(x, k_0), F_324(x, k_0))
Eq(F_324(x, k_0), F_2(x)*F_325(x)*F_92(x, k_0))
Eq(F_325(x), F_17(x) + F_326(x))
Eq(F_326(x), F_19(x) + F_327(x))
Eq(F_327(x), F_298(x) + F_308(x))
Eq(F_328(x, k_0, k_1), F_288(x, k_0)*F_329(x, k_1))
Eq(F_330(x, k_0), F_26(x)*F_329(x, k_0))
Eq(F_331(x, k_0), F_330(x, k_0) + F_344(x, k_0))
Eq(F_331(x, k_0), F_332(x, k_0))
Eq(F_333(x, k_0), F_332(x, k_0) + F_342(x, k_0))
Eq(F_334(x, k_0), F_12(x)**2*F_333(x, k_0)*F_91(x, k_0))
Eq(F_334(x, k_0), F_335(x, k_0))
Eq(F_335(x, k_0), F_336(x, k_0) + F_338(x, k_0))
Eq(F_336(x, k_0), F_337(x, k_0))
Eq(F_337(x, k_0), F_12(x)**2*F_155(x, k_0)*F_91(x, k_0))
Eq(F_338(x, k_0), F_339(x, k_0))
Eq(F_339(x, k_0), F_12(x)*F_340(x, k_0)*F_91(x, k_0))
Eq(F_340(x, k_0), F_341(x, k_0))
Eq(F_178(x, k_0), F_157(x, k_0) + F_341(x, k_0))
Eq(F_342(x, k_0), F_343(x, 1, k_0))
Eq(F_343(x, k_0, k_1), F_195(x, k_0, k_0*k_1))
Eq(F_344(x, k_0), F_22(x)*F_316(x, k_0))
Eq(F_345(x, k_0, k_1), F_166(x, k_1)*F_88(x, k_0))
Eq(F_346(x, k_0), F_347(x, k_0))
Eq(F_347(x, k_0), F_12(x)*F_348(x, k_0))
Eq(F_348(x, k_0), F_349(x, k_0) + F_351(x, k_0))
Eq(F_349(x, k_0), F_350(x, k_0))
Eq(F_350(x, k_0), F_163(x, k_0)*F_253(x))
Eq(F_351(x, k_0), F_352(x, k_0, 1))
Eq(F_352(x, k_0, k_1), (-k_1*F_353(x, k_0, k_1) + F_353(x, k_0, 1))/(1 - k_1))
Eq(F_353(x, k_0, k_1), F_192(x, k_1, k_0))
Eq(F_354(x, k_0, k_1), F_355(x, k_0, k_1))
Eq(F_355(x, k_0, k_1), F_190(x, k_0, k_1)*F_91(x, k_1))
Eq(F_356(x, k_0), F_357(x, k_0) + F_399(x, k_0))
Eq(F_357(x, k_0), F_358(x, k_0))
Eq(F_358(x, k_0), F_359(x) + F_398(x, k_0))
Eq(F_359(x), F_0(x) + F_360(x))
Eq(F_360(x), F_361(x))
Eq(F_361(x), F_12(x)*F_362(x))
Eq(F_362(x), F_363(x) + F_365(x))
Eq(F_363(x), F_359(x) + F_364(x))
Eq(F_364(x), F_115(x, 1))
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_12(x)*F_367(x))
Eq(F_367(x), F_368(x, 1))
Eq(F_368(x, k_0), F_369(x, k_0) + F_378(x, k_0))
Eq(F_369(x, k_0), F_370(x, k_0) + F_374(x, k_0))
Eq(F_370(x, k_0), F_356(x, k_0) + F_371(x, k_0))
Eq(F_371(x, k_0), F_372(x, k_0))
Eq(F_372(x, k_0), F_12(x)*F_373(x, k_0))
Eq(F_373(x, k_0), (k_0*F_370(x, k_0) - F_370(x, 1))/(k_0 - 1))
Eq(F_374(x, k_0), F_117(x, k_0) + F_375(x, k_0))
Eq(F_375(x, k_0), F_376(x, k_0))
Eq(F_376(x, k_0), F_12(x)*F_377(x, k_0))
Eq(F_377(x, k_0), (k_0*F_374(x, k_0) - F_374(x, 1))/(k_0 - 1))
Eq(F_378(x, k_0), F_379(x, k_0) + F_395(x, k_0))
Eq(F_379(x, k_0), (k_0*F_380(x, k_0) - F_380(x, 1))/(k_0 - 1))
Eq(F_380(x, k_0), F_381(x, k_0))
Eq(F_381(x, k_0), F_12(x)*F_382(x, k_0))
Eq(F_382(x, k_0), F_383(x, k_0) + F_389(x, k_0))
Eq(F_383(x, k_0), F_384(x, k_0))
Eq(F_384(x, k_0), F_385(x, 1, k_0))
Eq(F_385(x, k_0, k_1), F_386(x)*F_91(x, k_0)*F_91(x, k_1))
Eq(F_386(x), F_387(x) + F_4(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_2(x)*F_22(x)*F_42(x))
Eq(F_389(x, k_0), F_390(x, k_0))
Eq(F_391(x, k_0), F_390(x, k_0) + F_393(x, k_0))
Eq(F_392(x, k_0), F_12(x)*F_391(x, k_0))
Eq(F_392(x, k_0), F_115(x, k_0))
Eq(F_393(x, k_0), F_394(x, k_0))
Eq(F_394(x, k_0), F_22(x)*F_4(x)*F_91(x, k_0))
Eq(F_395(x, k_0), F_396(x, k_0))
Eq(F_396(x, k_0), F_12(x)*F_397(x, k_0))
Eq(F_397(x, k_0), (k_0*F_378(x, k_0) - F_378(x, 1))/(k_0 - 1))
Eq(F_398(x, k_0), F_120(x, k_0))
Eq(F_399(x, k_0), F_400(x, k_0))
Eq(F_400(x, k_0), F_12(x)*F_373(x, k_0))
Eq(F_401(x, k_0), F_402(x, k_0))
Eq(F_402(x, k_0), F_12(x)*F_403(x, k_0))
Eq(F_403(x, k_0), (k_0*F_404(x, k_0) - F_404(x, 1))/(k_0 - 1))
Eq(F_404(x, k_0), F_374(x, k_0) + F_378(x, k_0))
Eq(F_405(x), F_406(x))
Eq(F_406(x), F_12(x)*F_407(x))
Eq(F_407(x), F_105(x, 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, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 1, 2, 3], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [4, 0, 1, 2, 3], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 1, 2, 3], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [4, 0, 1, 2, 3], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1]], "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, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 1, 2, 3], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [4, 0, 1, 2, 3], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 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, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[1, 2], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[1, 2], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[1, 2], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1]], [[1, 0], [1, 2]]]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [2, 0], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 0], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [2, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 2], [1, 2], 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