02341_02413_02431_04123_04213_04231_40123_40213_40231_41023

Counting sequence:
1, 1, 2, 6, 24, 110, 531, 2601, 12817, 63507, 316459, 1585159, 7975235, 40270334, 203944066, 1035371863, 5267041637, 26840161434, 136975096369, 699917392852, 3580361687106, 18332452148910, 93945547574881, 481781597602591, 2472324228602412, 12694336838476299, 65213355928348747, 335167001431160019, 1723310143881663714, 8863903887220775746, 45606859162326435186, 234727968871924541936, 1208416668025487630006, 6222641787461724986775, 32050098776896223295895, 165109370974979866917760, 850734556234557147095833, 4384190852218499336171063, 22597041808637883276117562, 116486297970502435171305713, 600556845273265743980366920, 3096597935433209790461295487, 15968450206329126126888876438, 82353902446369399100174221466, 424761970987793044789945867507, 2191008035912856240315041977874, 11302548012704681273144879050461, 58309617766326030087891387451465, 300838277259214152292174561969774, 1552218584767426163946519378293383, 8009355262743608239887237838318773, 41329989947313057021695122827699005, 213282108336098766162806074752805203, 1100685867485296895260389069234981055, 5680555070284154721535735535773776459, 29318062721242133622037490347673102405, 151319769100039982694406729368282191616, 781035660054944072708550217188016685231, 4031436486411441458095457379606508471728, 20809497725880861127576971224579521484018, 107417567383300446488372459166303062339910, 554498218599242362773098509458294696578187, 2862433281131751296680147630943083379396615, 14776795686676527130315326598913596908321790, 76284129804176268779045750857888546535823994, 393818902002953691761221979705692249565263514, 2033137700266297804571979338339413035048878559, 10496497072023946314666423770503577446417932567, 54191211821308046709949182849281851408662066124, 279781998547864638457622408550260539281153942052, 1444497149439252694837913783186018192449448977044, 7457946074998494624919064798110123546865092355250, 38505880330126047672726021804599952084613322886801, 198810724102056727826225674357408680822626099653026, 1026495799920181848687521195365320290734991485019012, 5300036661809807676054328177174250329091601931423131, 27365578019464889354683196364671136191818590539045608, 141297402665195820941250084396173732657852229041693739, 729570550448164326039748353047882282904378468181667232, 3767070546533782925212125529772957084602531997020071821, 19451063263908336225246148627071582349075878581651235749, 100435184229949807797745260947747550165280910999931184709, 518598402772739344327119981202012183324372185127171071032, 2677805690004810899052861249319336880275509568593731090866, 13827045047183507451362327199492751348856455538683484073285, 71397331422363205613915059578791185217098495759703304882865, 368669090188930571347180201113471220790647410375108185162328, 1903677996808439747359400516266057177132439726779891562616944, 9829968976383771518072323233133134836922890589019048241267528, 50758944656768741182825742046303519394350498954640759943928991, 262104630636439568121342797845782705693155793891855936355485274, 1353438032648586578643481957250747620050658779976675301262938706, 6988814892275185674838736277540089466874672974753759637775393323, 36088604603168355240808655805293419051856731954505416192489537201, 186353670147030231365769286196640119194468129706323036351650846414, 962292367992175328610407460634565847839776221227591215705386333908, 4969094891051097578214630386122519232726230037660800839588742468183, 25659525943769559361771828529377048772350573025242901200748367656127, 132501560274883770468977834417868309865721708596992270192803839294500, 684217726070161237783852997447455244055058712019175755856912397485237, 3533202742283090777951310136593533365836164415321044011664323648176855

Specification 1
Strategy pack name: insertion_point_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24745/
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[13,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[13,x]*F[8,x]
F[8,x] = F[384,x]+F[9,x]
F[9,x] = F[10,x]+F[380,x]
F[10,x] = F[11,x]+F[25,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[14,x]
F[13,x] = x
F[14,x] = F[15,x]+F[16,x]
F[15,x] = F[1,x]+F[13,x]
F[16,x] = F[17,x]+F[20,x]
F[17,x] = F[18,x]
F[18,x] = F[13,x]*F[19,x]
F[19,x] = F[1,x]+F[17,x]
F[20,x] = F[21,x]+F[22,x]+F[24,x]
F[21,x] = 0
F[22,x] = F[13,x]*F[23,x]
F[23,x] = F[13,x]+F[20,x]
F[24,x] = F[13,x]*F[17,x]
F[25,x] = F[2,x]+F[26,x]
F[26,x] = F[27,x,1]
F[27,x,k[0]] = F[28,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]*F[42,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]+F[31,x,k[0]]
F[30,x,k[0]] = F[2,x]+F[27,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]+F[379,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]+F[376,x,k[0]]
F[33,x,k[0]] = F[2,x]+F[34,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]*F[42,x,k[0]]
F[36,x,k[0]] = F[33,x,k[0]]+F[37,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]+F[43,x,k[0]]
F[38,x,k[0]] = F[2,x]*F[39,x,k[0]]
F[39,x,k[0]] = F[1,x]+F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = F[39,x,k[0]]*F[42,x,k[0]]
F[42,x,k[0]] = k[0]*x
F[43,x,k[0]] = F[44,x,k[0]]+F[6,x]
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = F[42,x,k[0]]*F[46,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]+F[48,x,k[0]]
F[47,x,k[0]] = F[39,x,k[0]]*F[6,x]
F[48,x,k[0]] = F[257,x,k[0]]+F[49,x,k[0]]
F[49,x,k[0]] = F[148,x,k[0]]+F[50,x]
F[50,x] = F[142,x]+F[21,x]+F[51,x]
F[51,x] = F[13,x]*F[52,x]
F[52,x] = F[53,x]+F[54,x]
F[53,x] = F[2,x]+F[50,x]
F[54,x] = F[55,x]+F[71,x]
F[55,x] = F[21,x]+F[56,x]+F[60,x]
F[56,x] = F[57,x]
F[57,x] = F[13,x]*F[58,x]
F[58,x] = F[2,x]+F[59,x]
F[59,x] = F[17,x]*F[2,x]
F[60,x] = F[13,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[2,x]+F[55,x]
F[63,x] = F[64,x]+F[66,x]
F[64,x] = F[65,x]
F[65,x] = F[13,x]*F[2,x]
F[66,x] = F[67,x]
F[67,x] = F[13,x]*F[68,x]
F[68,x] = F[59,x]+F[69,x]
F[69,x] = F[6,x]+F[70,x]
F[70,x] = F[44,x,1]
F[71,x] = F[72,x]
F[72,x] = F[13,x]*F[73,x]
F[73,x] = F[140,x]+F[74,x]
F[74,x] = F[136,x]+F[75,x]
F[75,x] = F[59,x]+F[76,x]
F[76,x] = F[50,x]+F[77,x]
F[77,x] = F[78,x,1]
F[78,x,k[0]] = F[79,x,k[0]]
F[79,x,k[0]] = F[42,x,k[0]]*F[80,x,k[0]]
F[80,x,k[0]] = F[81,x,k[0]]+F[82,x,k[0]]
F[81,x,k[0]] = F[50,x]+F[78,x,k[0]]
F[82,x,k[0]] = F[83,x,k[0]]+F[88,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = F[2,x]*F[39,x,k[0]]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[13,x]*F[15,x]*F[87,x]
F[87,x] = F[1,x]+F[85,x]
F[88,x,k[0]] = F[89,x]+F[98,x,k[0]]
F[89,x] = F[90,x]
F[90,x] = F[13,x]*F[91,x]
F[91,x] = F[123,x]+F[92,x]
F[92,x] = F[68,x]+F[93,x]
F[93,x] = F[94,x]+F[96,x]
F[94,x] = F[95,x]
F[95,x] = F[17,x]*F[2,x]*F[85,x]
F[96,x] = F[89,x]+F[97,x]
F[97,x] = F[98,x,1]
F[98,x,k[0]] = F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]*F[13,x]
F[100,x,k[0]] = F[101,x,k[0]]+F[110,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]+F[106,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]+F[105,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]
F[104,x,k[0]] = F[17,x]*F[2,x]*F[40,x,k[0]]
F[105,x,k[0]] = -k[0]*(F[44,x,1]-F[44,x,k[0]])/(-1+k[0])
F[106,x,k[0]] = F[107,x,k[0]]+F[109,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]
F[108,x,k[0]] = F[17,x]*F[2,x]*F[40,x,k[0]]*F[85,x]
F[109,x,k[0]] = -k[0]*(F[98,x,1]-F[98,x,k[0]])/(-1+k[0])
F[110,x,k[0]] = F[111,x,k[0]]+F[117,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]+F[114,x,k[0]]
F[112,x,k[0]] = F[113,x,k[0]]
F[113,x,k[0]] = F[13,x]*F[17,x]*F[2,x]*F[40,x,k[0]]
F[114,x,k[0]] = -k[0]*(F[115,x,1]-F[115,x,k[0]])/(-1+k[0])
F[115,x,k[0]] = F[116,x,k[0]]
F[116,x,k[0]] = F[102,x,k[0]]*F[13,x]
F[117,x,k[0]] = F[118,x,k[0]]+F[120,x,k[0]]
F[118,x,k[0]] = F[119,x,k[0]]
F[119,x,k[0]] = F[13,x]*F[17,x]*F[2,x]*F[40,x,k[0]]*F[85,x]
F[120,x,k[0]] = -k[0]*(F[121,x,1]-F[121,x,k[0]])/(-1+k[0])
F[121,x,k[0]] = F[122,x,k[0]]
F[122,x,k[0]] = F[106,x,k[0]]*F[13,x]
F[123,x] = F[124,x]+F[129,x]
F[124,x] = F[125,x]+F[127,x]
F[125,x] = F[126,x]
F[126,x] = F[13,x]*F[17,x]*F[2,x]
F[127,x] = F[128,x]+F[66,x]
F[128,x] = F[115,x,1]
F[129,x] = F[130,x]+F[132,x]
F[130,x] = F[131,x]
F[131,x] = F[13,x]*F[17,x]*F[2,x]*F[85,x]
F[132,x] = F[133,x]+F[135,x]
F[133,x] = F[134,x]
F[134,x] = F[13,x]*F[93,x]
F[135,x] = F[121,x,1]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[2,x]*F[85,x]
F[138,x] = F[139,x]+F[17,x]
F[139,x] = F[17,x]*F[19,x]
F[140,x] = F[141,x]
F[141,x] = F[13,x]*F[17,x]*F[2,x]*F[87,x]
F[142,x] = F[13,x]*F[143,x]
F[143,x] = F[144,x]+F[145,x]
F[144,x] = F[2,x]+F[50,x]
F[145,x] = F[146,x]+F[89,x]
F[146,x] = F[147,x]
F[147,x] = F[2,x]*F[85,x]
F[148,x,k[0]] = F[149,x,k[0]]
F[149,x,k[0]] = F[13,x]*F[150,x,k[0]]
F[150,x,k[0]] = F[151,x,k[0]]+F[232,x,k[0]]
F[151,x,k[0]] = F[152,x,k[0]]+F[230,x,k[0]]
F[152,x,k[0]] = F[153,x,k[0]]+F[156,x,k[0]]
F[153,x,k[0]] = F[154,x,k[0]]
F[154,x,k[0]] = F[155,x,k[0]]*F[42,x,k[0]]
F[155,x,k[0]] = F[153,x,k[0]]+F[17,x]
F[156,x,k[0]] = F[157,x,k[0]]+F[162,x,k[0]]
F[157,x,k[0]] = F[158,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]*F[42,x,k[0]]
F[159,x,k[0]] = F[160,x,k[0]]+F[161,x,k[0]]
F[160,x,k[0]] = F[157,x,k[0]]+F[2,x]
F[161,x,k[0]] = F[38,x,k[0]]+F[49,x,k[0]]
F[162,x,k[0]] = F[163,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]*F[42,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]+F[167,x,k[0]]
F[165,x,k[0]] = F[162,x,k[0]]+F[166,x]
F[166,x] = F[34,x,1]
F[167,x,k[0]] = F[168,x,k[0]]+F[170,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]
F[169,x,k[0]] = F[17,x]*F[2,x]*F[39,x,k[0]]
F[170,x,k[0]] = F[171,x,k[0]]+F[77,x]
F[171,x,k[0]] = F[172,x,1,k[0]]
F[172,x,k[0],k[1]] = F[173,x,k[0],k[1]]
F[173,x,k[0],k[1]] = F[13,x]*F[174,x,k[0],k[1]]
F[174,x,k[0],k[1]] = F[175,x,k[0],k[1]]+F[193,x,k[0],k[1]]
F[175,x,k[0],k[1]] = F[176,x,k[0],k[1]]+F[189,x,k[0],k[1]]
F[176,x,k[0],k[1]] = F[177,x,k[0],k[1]]+F[180,x,k[0],k[1]]
F[177,x,k[0],k[1]] = F[178,x,k[0],k[1]]
F[178,x,k[0],k[1]] = F[179,x,k[0],k[1]]*F[42,x,k[1]]
F[179,x,k[0],k[1]] = F[153,x,k[0]]+F[177,x,k[0],k[1]]
F[180,x,k[0],k[1]] = -k[0]*(F[181,x,1,k[1]]-F[181,x,k[0],k[1]])/(-1+k[0])
F[181,x,k[0],k[1]] = F[182,x,k[0],k[1]]
F[182,x,k[0],k[1]] = F[183,x,k[0],k[1]]*F[42,x,k[1]]
F[183,x,k[0],k[1]] = F[184,x,k[0],k[1]]+F[185,x,k[0],k[1]]
F[184,x,k[0],k[1]] = F[181,x,k[0],k[1]]+F[34,x,k[0]]
F[185,x,k[0],k[1]] = F[186,x,k[0],k[1]]+F[188,x,k[0],k[1]]
F[186,x,k[0],k[1]] = F[187,x,k[0],k[1]]
F[187,x,k[0],k[1]] = F[2,x]*F[39,x,k[1]]*F[40,x,k[0]]
F[188,x,k[0],k[1]] = F[172,x,k[0],k[1]]+F[78,x,k[0]]
F[189,x,k[0],k[1]] = F[190,x,k[0],k[1]]+F[192,x,k[0],k[1]]
F[190,x,k[0],k[1]] = F[191,x,k[0],k[1]]
F[191,x,k[0],k[1]] = F[17,x]*F[2,x]*F[40,x,k[0]]*F[40,x,k[1]]
F[192,x,k[0],k[1]] = -k[0]*(F[172,x,1,k[1]]-F[172,x,k[0],k[1]])/(-1+k[0])
F[193,x,k[0],k[1]] = F[194,x,k[0],k[1]]+F[204,x,k[0],k[1]]
F[194,x,k[0],k[1]] = F[190,x,k[0],k[1]]+F[195,x,k[0],k[1]]
F[195,x,k[0],k[1]] = -k[0]*(F[196,x,1,k[1]]-F[196,x,k[0],k[1]])/(-1+k[0])
F[196,x,k[0],k[1]] = F[197,x,k[0],k[1]]
F[197,x,k[0],k[1]] = F[13,x]*F[198,x,k[0],k[1]]
F[198,x,k[0],k[1]] = F[199,x,k[0],k[1]]+F[202,x,k[0],k[1]]
F[199,x,k[0],k[1]] = F[176,x,k[0],k[1]]+F[200,x,k[0],k[1]]
F[200,x,k[0],k[1]] = F[201,x,k[0],k[1]]
F[201,x,k[0],k[1]] = F[138,x]*F[2,x]*F[40,x,k[0]]*F[40,x,k[1]]
F[202,x,k[0],k[1]] = F[203,x,k[0],k[1]]
F[203,x,k[0],k[1]] = F[17,x]*F[40,x,k[0]]*F[40,x,k[1]]*F[5,x]
F[204,x,k[0],k[1]] = F[205,x,k[0],k[1]]+F[207,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[17,x]*F[40,x,k[0]]*F[40,x,k[1]]*F[6,x]
F[207,x,k[0],k[1]] = -k[0]*(F[208,x,1,k[1]]-F[208,x,k[0],k[1]])/(-1+k[0])
F[208,x,k[0],k[1]] = F[209,x,k[0],k[1]]
F[209,x,k[0],k[1]] = F[13,x]*F[210,x,k[0],k[1]]
F[210,x,k[0],k[1]] = F[211,x,k[0],k[1]]+F[228,x,k[0],k[1]]
F[211,x,k[0],k[1]] = F[212,x,k[0],k[1]]
F[212,x,k[0],k[1]] = F[192,x,k[0],k[1]]+F[213,x,k[0],k[1]]
F[213,x,k[0],k[1]] = F[214,x,k[0],k[1]]
F[214,x,k[0],k[1]] = F[2,x]*F[215,x]*F[40,x,k[0]]*F[40,x,k[1]]
F[215,x] = F[17,x]+F[216,x]
F[216,x] = F[21,x]+F[217,x]+F[225,x]
F[217,x] = F[13,x]*F[218,x]
F[218,x] = F[219,x]+F[222,x]
F[219,x] = F[17,x]+F[220,x]
F[220,x] = F[221,x]
F[221,x] = F[13,x]*F[17,x]
F[222,x] = F[216,x]+F[223,x]
F[223,x] = F[224,x]
F[224,x] = F[13,x]*F[216,x]
F[225,x] = F[13,x]*F[226,x]
F[226,x] = F[13,x]+F[227,x]
F[227,x] = F[21,x]+F[221,x]+F[225,x]
F[228,x,k[0],k[1]] = F[229,x,k[0],k[1]]
F[229,x,k[0],k[1]] = F[13,x]*F[2,x]*F[215,x]*F[40,x,k[0]]*F[40,x,k[1]]
F[230,x,k[0]] = F[103,x,k[0]]+F[231,x,k[0]]
F[231,x,k[0]] = F[148,x,k[0]]+F[171,x,k[0]]
F[232,x,k[0]] = F[233,x,k[0]]+F[244,x,k[0]]
F[233,x,k[0]] = F[103,x,k[0]]+F[234,x,k[0]]
F[234,x,k[0]] = F[235,x,k[0]]+F[243,x,k[0]]
F[235,x,k[0]] = F[236,x,k[0]]
F[236,x,k[0]] = F[13,x]*F[237,x,k[0]]
F[237,x,k[0]] = F[238,x,k[0]]+F[241,x,k[0]]
F[238,x,k[0]] = F[152,x,k[0]]+F[239,x,k[0]]
F[239,x,k[0]] = F[240,x,k[0]]
F[240,x,k[0]] = F[138,x]*F[2,x]*F[40,x,k[0]]
F[241,x,k[0]] = F[242,x,k[0]]
F[242,x,k[0]] = F[17,x]*F[40,x,k[0]]*F[5,x]
F[243,x,k[0]] = F[196,x,1,k[0]]
F[244,x,k[0]] = F[245,x,k[0]]+F[247,x,k[0]]
F[245,x,k[0]] = F[246,x,k[0]]
F[246,x,k[0]] = F[17,x]*F[40,x,k[0]]*F[6,x]
F[247,x,k[0]] = F[248,x,k[0]]+F[256,x,k[0]]
F[248,x,k[0]] = F[249,x,k[0]]
F[249,x,k[0]] = F[13,x]*F[250,x,k[0]]
F[250,x,k[0]] = F[251,x,k[0]]+F[254,x,k[0]]
F[251,x,k[0]] = F[230,x,k[0]]+F[252,x,k[0]]
F[252,x,k[0]] = F[253,x,k[0]]
F[253,x,k[0]] = F[138,x]*F[2,x]*F[40,x,k[0]]*F[85,x]
F[254,x,k[0]] = F[255,x,k[0]]
F[255,x,k[0]] = F[13,x]*F[17,x]*F[2,x]*F[40,x,k[0]]*F[87,x]
F[256,x,k[0]] = F[208,x,1,k[0]]
F[258,x,k[0]] = F[257,x,k[0]]+F[372,x,k[0]]
F[259,x,k[0]] = F[258,x,k[0]]+F[47,x,k[0]]
F[260,x,k[0]] = F[259,x,k[0]]*F[42,x,k[0]]
F[260,x,k[0]] = F[261,x,k[0]]
F[261,x,k[0]] = F[262,x,k[0]]
F[262,x,k[0]] = F[13,x]*F[263,x,k[0]]
F[263,x,k[0]] = F[264,x,k[0]]+F[299,x,k[0]]
F[264,x,k[0]] = F[265,x,k[0]]+F[287,x,k[0]]
F[265,x,k[0]] = F[266,x,k[0]]+F[286,x,k[0]]
F[266,x,k[0]] = F[21,x]+F[267,x,k[0]]+F[277,x,k[0]]
F[267,x,k[0]] = F[13,x]*F[268,x,k[0]]
F[268,x,k[0]] = F[269,x,k[0]]+F[270,x,k[0]]
F[269,x,k[0]] = F[42,x,k[0]]
F[270,x,k[0]] = F[271,x,k[0]]
F[271,x,k[0]] = k[0]*F[272,x]
F[272,x] = F[273,x]
F[273,x] = F[13,x]*F[274,x]
F[274,x] = F[275,x]+F[276,x]
F[275,x] = F[13,x]
F[276,x] = F[272,x]
F[277,x,k[0]] = F[278,x,k[0]]*F[42,x,k[0]]
F[278,x,k[0]] = F[279,x,k[0]]+F[280,x,k[0]]
F[279,x,k[0]] = F[11,x]+F[271,x,k[0]]
F[280,x,k[0]] = F[266,x,k[0]]+F[281,x,k[0]]
F[281,x,k[0]] = F[282,x,k[0]]
F[282,x,k[0]] = F[283,x,k[0]]*F[42,x,k[0]]
F[283,x,k[0]] = F[284,x,k[0]]+F[285,x,k[0]]
F[284,x,k[0]] = F[271,x,k[0]]
F[285,x,k[0]] = F[281,x,k[0]]
F[286,x,k[0]] = -k[0]*(F[27,x,1]-F[27,x,k[0]])/(-1+k[0])
F[287,x,k[0]] = F[288,x,k[0]]+F[298,x,k[0]]
F[288,x,k[0]] = (-F[289,x,1]*k[0]+F[289,x,k[0]])/(-1+k[0])
F[289,x,k[0]] = F[2,x]*F[290,x,k[0]]
F[290,x,k[0]] = F[291,x,k[0]]
F[291,x,k[0]] = F[292,x,k[0]]*F[42,x,k[0]]
F[292,x,k[0]] = F[293,x,k[0]]+F[42,x,k[0]]
F[293,x,k[0]] = F[294,x,k[0]]+F[40,x,k[0]]
F[294,x,k[0]] = F[21,x]+F[295,x,k[0]]+F[297,x,k[0]]
F[295,x,k[0]] = F[296,x,k[0]]*F[42,x,k[0]]
F[296,x,k[0]] = F[294,x,k[0]]+F[42,x,k[0]]
F[297,x,k[0]] = F[40,x,k[0]]*F[42,x,k[0]]
F[298,x,k[0]] = -k[0]*(F[261,x,1]-F[261,x,k[0]])/(-1+k[0])
F[299,x,k[0]] = F[300,x,k[0]]+F[335,x,k[0]]
F[300,x,k[0]] = F[288,x,k[0]]+F[301,x,k[0]]
F[301,x,k[0]] = -k[0]*(F[302,x,1]-F[302,x,k[0]])/(-1+k[0])
F[302,x,k[0]] = F[303,x,k[0]]
F[303,x,k[0]] = F[13,x]*F[304,x,k[0]]
F[304,x,k[0]] = F[305,x,k[0]]+F[333,x,k[0]]
F[305,x,k[0]] = F[265,x,k[0]]+F[306,x,k[0]]
F[306,x,k[0]] = F[2,x]*F[307,x,k[0]]
F[307,x,k[0]] = F[266,x,k[0]]+F[308,x,k[0]]
F[308,x,k[0]] = F[266,x,k[0]]+F[309,x,k[0]]
F[309,x,k[0]] = F[21,x]+F[310,x,k[0]]+F[311,x,k[0]]+F[315,x,k[0]]
F[310,x,k[0]] = 0
F[311,x,k[0]] = F[13,x]*F[312,x,k[0]]
F[312,x,k[0]] = F[270,x,k[0]]+F[313,x,k[0]]
F[313,x,k[0]] = F[314,x,k[0]]
F[314,x,k[0]] = F[311,x,k[0]]
F[315,x,k[0]] = F[316,x,k[0]]*F[42,x,k[0]]
F[316,x,k[0]] = F[317,x,k[0]]+F[327,x,k[0]]
F[317,x,k[0]] = F[314,x,k[0]]+F[318,x]
F[318,x] = F[21,x]+F[273,x]+F[319,x]
F[319,x] = F[13,x]*F[320,x]
F[320,x] = F[321,x]+F[322,x]
F[321,x] = F[11,x]+F[272,x]
F[322,x] = F[318,x]+F[323,x]
F[323,x] = F[324,x]
F[324,x] = F[13,x]*F[325,x]
F[325,x] = F[276,x]+F[326,x]
F[326,x] = F[323,x]
F[327,x,k[0]] = F[309,x,k[0]]+F[328,x,k[0]]
F[328,x,k[0]] = F[329,x,k[0]]
F[329,x,k[0]] = F[330,x,k[0]]*F[42,x,k[0]]
F[330,x,k[0]] = F[331,x,k[0]]+F[332,x,k[0]]
F[331,x,k[0]] = F[314,x,k[0]]
F[332,x,k[0]] = F[328,x,k[0]]
F[333,x,k[0]] = (-F[334,x,1]*k[0]+F[334,x,k[0]])/(-1+k[0])
F[334,x,k[0]] = F[290,x,k[0]]*F[5,x]
F[335,x,k[0]] = F[336,x,k[0]]+F[338,x,k[0]]
F[336,x,k[0]] = (-F[337,x,1]*k[0]+F[337,x,k[0]])/(-1+k[0])
F[337,x,k[0]] = F[290,x,k[0]]*F[6,x]
F[338,x,k[0]] = -k[0]*(F[339,x,1]-F[339,x,k[0]])/(-1+k[0])
F[339,x,k[0]] = F[340,x,k[0]]
F[340,x,k[0]] = F[13,x]*F[341,x,k[0]]
F[341,x,k[0]] = F[342,x,k[0]]+F[370,x,k[0]]
F[342,x,k[0]] = F[343,x,k[0]]
F[343,x,k[0]] = F[298,x,k[0]]+F[344,x,k[0]]
F[344,x,k[0]] = F[345,x,k[0]]
F[345,x,k[0]] = F[2,x]*F[346,x,k[0]]
F[346,x,k[0]] = F[266,x,k[0]]+F[347,x,k[0]]
F[347,x,k[0]] = F[348,x,k[0]]
F[348,x,k[0]] = F[13,x]*F[349,x,k[0]]
F[349,x,k[0]] = F[350,x,k[0]]+F[364,x,k[0]]
F[350,x,k[0]] = F[351,x,k[0]]+F[363,x,k[0]]
F[351,x,k[0]] = F[352,x]*F[40,x,k[0]]
F[352,x] = F[353,x]+F[357,x]
F[353,x] = F[13,x]+F[354,x]
F[354,x] = F[21,x]+F[355,x]+F[356,x]
F[355,x] = x^2
F[356,x] = x^2
F[357,x] = F[227,x]+F[358,x]
F[358,x] = F[21,x]+F[359,x]+F[360,x]+F[362,x]
F[359,x] = F[13,x]*F[20,x]
F[360,x] = F[13,x]*F[361,x]
F[361,x] = F[354,x]+F[358,x]
F[362,x] = F[13,x]*F[227,x]
F[363,x,k[0]] = F[226,x]*F[296,x,k[0]]
F[364,x,k[0]] = F[365,x,k[0]]*F[85,x]
F[365,x,k[0]] = F[366,x,k[0]]+F[368,x,k[0]]
F[366,x,k[0]] = F[367,x]*F[40,x,k[0]]
F[367,x] = F[14,x]+F[352,x]
F[368,x,k[0]] = F[296,x,k[0]]*F[369,x]
F[369,x] = F[19,x]+F[226,x]
F[370,x,k[0]] = F[371,x,k[0]]
F[371,x,k[0]] = F[13,x]*F[2,x]*F[346,x,k[0]]
F[372,x,k[0]] = F[373,x,k[0]]+F[49,x,k[0]]
F[373,x,k[0]] = F[374,x,k[0]]+F[78,x,k[0]]
F[374,x,k[0]] = F[375,x,k[0],1]
F[375,x,k[0],k[1]] = F[172,x,k[0],k[0]*k[1]]
F[376,x,k[0]] = F[2,x]*F[377,x,k[0]]
F[377,x,k[0]] = F[378,x,k[0]]
F[378,x,k[0]] = F[39,x,k[0]]^2*F[42,x,k[0]]
F[379,x,k[0]] = F[261,x,k[0]]+F[6,x]
F[380,x] = F[381,x]+F[382,x]
F[381,x] = F[11,x]*F[2,x]
F[382,x] = F[383,x]+F[6,x]
F[383,x] = F[261,x,1]
F[384,x] = F[385,x]+F[395,x]
F[385,x] = F[381,x]+F[386,x]
F[386,x] = F[387,x]+F[394,x]
F[387,x] = F[388,x]
F[388,x] = F[13,x]*F[389,x]
F[389,x] = F[390,x]+F[393,x]
F[390,x] = F[10,x]+F[391,x]
F[391,x] = F[392,x,1]
F[392,x,k[0]] = (F[376,x,k[0]]*k[0]-F[376,x,1])/(-1+k[0])
F[393,x] = F[11,x]*F[5,x]
F[394,x] = F[302,x,1]
F[395,x] = F[396,x]+F[397,x]
F[396,x] = F[11,x]*F[6,x]
F[397,x] = F[398,x]+F[418,x]
F[398,x] = F[399,x]
F[399,x] = F[13,x]*F[400,x]
F[400,x] = F[401,x]+F[416,x]
F[401,x] = F[402,x]
F[402,x] = F[382,x]+F[403,x]
F[403,x] = F[404,x]
F[404,x] = F[2,x]*F[405,x]
F[405,x] = F[11,x]+F[406,x]
F[406,x] = F[21,x]+F[407,x]+F[415,x]
F[407,x] = F[13,x]*F[408,x]
F[408,x] = F[409,x]+F[412,x]
F[409,x] = F[11,x]+F[410,x]
F[410,x] = F[411,x]
F[411,x] = F[11,x]*F[13,x]
F[412,x] = F[406,x]+F[413,x]
F[413,x] = F[414,x]
F[414,x] = F[13,x]*F[406,x]
F[415,x] = F[13,x]*F[352,x]
F[416,x] = F[417,x]
F[417,x] = F[13,x]*F[2,x]*F[405,x]
F[418,x] = F[339,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_{13}\! \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_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{13}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{384}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{380}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{25}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{14}\! \left(x \right)
F_{13}\! \left(x \right) = x
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)
F_{15}\! \left(x \right) = F_{1}\! \left(x \right)+F_{13}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{20}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{13}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)+F_{24}\! \left(x \right)
F_{21}\! \left(x \right) = 0
F_{22}\! \left(x \right) = F_{13}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{13}\! \left(x \right)+F_{20}\! \left(x \right)
F_{24}\! \left(x \right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right)
F_{25}\! \left(x \right) = F_{2}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x , 1\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{27}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)+F_{379}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{376}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = y x
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{42}\! \left(x , y\right) F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{48}\! \left(x , y\right) = F_{257}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{148}\! \left(x , y\right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{142}\! \left(x \right)+F_{21}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{13}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{54}\! \left(x \right)
F_{53}\! \left(x \right) = F_{2}\! \left(x \right)+F_{50}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{71}\! \left(x \right)
F_{55}\! \left(x \right) = F_{21}\! \left(x \right)+F_{56}\! \left(x \right)+F_{60}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{13}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{2}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{60}\! \left(x \right) = F_{13}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{2}\! \left(x \right)+F_{55}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{66}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{13}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{59}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{6}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{44}\! \left(x , 1\right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{13}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{140}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{136}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{59}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{50}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x , 1\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{42}\! \left(x , y\right) F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{81}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{50}\! \left(x \right)+F_{78}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{83}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{39}\! \left(x , y\right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{1}\! \left(x \right)+F_{85}\! \left(x \right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x \right)+F_{98}\! \left(x , y\right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{13}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{123}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{68}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{96}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{85}\! \left(x \right)
F_{96}\! \left(x \right) = F_{89}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x , 1\right)
F_{98}\! \left(x , y\right) = F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{110}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{106}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{105}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = -\frac{y \left(F_{44}\! \left(x , 1\right)-F_{44}\! \left(x , y\right)\right)}{-1+y}
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{109}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right) F_{85}\! \left(x \right)
F_{109}\! \left(x , y\right) = -\frac{y \left(F_{98}\! \left(x , 1\right)-F_{98}\! \left(x , y\right)\right)}{-1+y}
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{117}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{114}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = -\frac{y \left(F_{115}\! \left(x , 1\right)-F_{115}\! \left(x , y\right)\right)}{-1+y}
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{120}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right) F_{85}\! \left(x \right)
F_{120}\! \left(x , y\right) = -\frac{y \left(F_{121}\! \left(x , 1\right)-F_{121}\! \left(x , y\right)\right)}{-1+y}
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{129}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{127}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{66}\! \left(x \right)
F_{128}\! \left(x \right) = F_{115}\! \left(x , 1\right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{132}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{85}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{135}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{13}\! \left(x \right) F_{93}\! \left(x \right)
F_{135}\! \left(x \right) = F_{121}\! \left(x , 1\right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{2}\! \left(x \right) F_{85}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{17}\! \left(x \right)
F_{139}\! \left(x \right) = F_{17}\! \left(x \right) F_{19}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{87}\! \left(x \right)
F_{142}\! \left(x \right) = F_{13}\! \left(x \right) F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{145}\! \left(x \right)
F_{144}\! \left(x \right) = F_{2}\! \left(x \right)+F_{50}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{89}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{2}\! \left(x \right) F_{85}\! \left(x \right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{150}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)+F_{232}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{230}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{156}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{154}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{155}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{17}\! \left(x \right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right)+F_{162}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{158}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{160}\! \left(x , y\right)+F_{161}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{157}\! \left(x , y\right)+F_{2}\! \left(x \right)
F_{161}\! \left(x , y\right) = F_{38}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{167}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{34}\! \left(x , 1\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)+F_{170}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{171}\! \left(x , y\right)+F_{77}\! \left(x \right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , 1, y\right)
F_{172}\! \left(x , y , z\right) = F_{173}\! \left(x , y , z\right)
F_{173}\! \left(x , y , z\right) = F_{13}\! \left(x \right) F_{174}\! \left(x , y , z\right)
F_{174}\! \left(x , y , z\right) = F_{175}\! \left(x , y , z\right)+F_{193}\! \left(x , y , z\right)
F_{175}\! \left(x , y , z\right) = F_{176}\! \left(x , y , z\right)+F_{189}\! \left(x , y , z\right)
F_{176}\! \left(x , y , z\right) = F_{177}\! \left(x , y , z\right)+F_{180}\! \left(x , y , z\right)
F_{177}\! \left(x , y , z\right) = F_{178}\! \left(x , y , z\right)
F_{178}\! \left(x , y , z\right) = F_{179}\! \left(x , y , z\right) F_{42}\! \left(x , z\right)
F_{179}\! \left(x , y , z\right) = F_{153}\! \left(x , y\right)+F_{177}\! \left(x , y , z\right)
F_{180}\! \left(x , y , z\right) = -\frac{y \left(F_{181}\! \left(x , 1, z\right)-F_{181}\! \left(x , y , z\right)\right)}{-1+y}
F_{181}\! \left(x , y , z\right) = F_{182}\! \left(x , y , z\right)
F_{182}\! \left(x , y , z\right) = F_{183}\! \left(x , y , z\right) F_{42}\! \left(x , z\right)
F_{183}\! \left(x , y , z\right) = F_{184}\! \left(x , y , z\right)+F_{185}\! \left(x , y , z\right)
F_{184}\! \left(x , y , z\right) = F_{181}\! \left(x , y , z\right)+F_{34}\! \left(x , y\right)
F_{185}\! \left(x , y , z\right) = F_{186}\! \left(x , y , z\right)+F_{188}\! \left(x , y , z\right)
F_{186}\! \left(x , y , z\right) = F_{187}\! \left(x , y , z\right)
F_{187}\! \left(x , y , z\right) = F_{2}\! \left(x \right) F_{39}\! \left(x , z\right) F_{40}\! \left(x , y\right)
F_{188}\! \left(x , y , z\right) = F_{172}\! \left(x , y , z\right)+F_{78}\! \left(x , y\right)
F_{189}\! \left(x , y , z\right) = F_{190}\! \left(x , y , z\right)+F_{192}\! \left(x , y , z\right)
F_{190}\! \left(x , y , z\right) = F_{191}\! \left(x , y , z\right)
F_{191}\! \left(x , y , z\right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right) F_{40}\! \left(x , z\right)
F_{192}\! \left(x , y , z\right) = -\frac{y \left(F_{172}\! \left(x , 1, z\right)-F_{172}\! \left(x , y , z\right)\right)}{-1+y}
F_{193}\! \left(x , y , z\right) = F_{194}\! \left(x , y , z\right)+F_{204}\! \left(x , y , z\right)
F_{194}\! \left(x , y , z\right) = F_{190}\! \left(x , y , z\right)+F_{195}\! \left(x , y , z\right)
F_{195}\! \left(x , y , z\right) = -\frac{y \left(F_{196}\! \left(x , 1, z\right)-F_{196}\! \left(x , y , z\right)\right)}{-1+y}
F_{196}\! \left(x , y , z\right) = F_{197}\! \left(x , y , z\right)
F_{197}\! \left(x , y , z\right) = F_{13}\! \left(x \right) F_{198}\! \left(x , y , z\right)
F_{198}\! \left(x , y , z\right) = F_{199}\! \left(x , y , z\right)+F_{202}\! \left(x , y , z\right)
F_{199}\! \left(x , y , z\right) = F_{176}\! \left(x , y , z\right)+F_{200}\! \left(x , y , z\right)
F_{200}\! \left(x , y , z\right) = F_{201}\! \left(x , y , z\right)
F_{201}\! \left(x , y , z\right) = F_{138}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right) F_{40}\! \left(x , z\right)
F_{202}\! \left(x , y , z\right) = F_{203}\! \left(x , y , z\right)
F_{203}\! \left(x , y , z\right) = F_{17}\! \left(x \right) F_{40}\! \left(x , y\right) F_{40}\! \left(x , z\right) F_{5}\! \left(x \right)
F_{204}\! \left(x , y , z\right) = F_{205}\! \left(x , y , z\right)+F_{207}\! \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_{17}\! \left(x \right) F_{40}\! \left(x , y\right) F_{40}\! \left(x , z\right) F_{6}\! \left(x \right)
F_{207}\! \left(x , y , z\right) = -\frac{y \left(F_{208}\! \left(x , 1, z\right)-F_{208}\! \left(x , y , z\right)\right)}{-1+y}
F_{208}\! \left(x , y , z\right) = F_{209}\! \left(x , y , z\right)
F_{209}\! \left(x , y , z\right) = F_{13}\! \left(x \right) F_{210}\! \left(x , y , z\right)
F_{210}\! \left(x , y , z\right) = F_{211}\! \left(x , y , z\right)+F_{228}\! \left(x , y , z\right)
F_{211}\! \left(x , y , z\right) = F_{212}\! \left(x , y , z\right)
F_{212}\! \left(x , y , z\right) = F_{192}\! \left(x , y , z\right)+F_{213}\! \left(x , y , z\right)
F_{213}\! \left(x , y , z\right) = F_{214}\! \left(x , y , z\right)
F_{214}\! \left(x , y , z\right) = F_{2}\! \left(x \right) F_{215}\! \left(x \right) F_{40}\! \left(x , y\right) F_{40}\! \left(x , z\right)
F_{215}\! \left(x \right) = F_{17}\! \left(x \right)+F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{21}\! \left(x \right)+F_{217}\! \left(x \right)+F_{225}\! \left(x \right)
F_{217}\! \left(x \right) = F_{13}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{222}\! \left(x \right)
F_{219}\! \left(x \right) = F_{17}\! \left(x \right)+F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right)
F_{222}\! \left(x \right) = F_{216}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{13}\! \left(x \right) F_{216}\! \left(x \right)
F_{225}\! \left(x \right) = F_{13}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{13}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{21}\! \left(x \right)+F_{221}\! \left(x \right)+F_{225}\! \left(x \right)
F_{228}\! \left(x , y , z\right) = F_{229}\! \left(x , y , z\right)
F_{229}\! \left(x , y , z\right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{215}\! \left(x \right) F_{40}\! \left(x , y\right) F_{40}\! \left(x , z\right)
F_{230}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{231}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{148}\! \left(x , y\right)+F_{171}\! \left(x , y\right)
F_{232}\! \left(x , y\right) = F_{233}\! \left(x , y\right)+F_{244}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{234}\! \left(x , y\right)
F_{234}\! \left(x , y\right) = F_{235}\! \left(x , y\right)+F_{243}\! \left(x , y\right)
F_{235}\! \left(x , y\right) = F_{236}\! \left(x , y\right)
F_{236}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{237}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = F_{238}\! \left(x , y\right)+F_{241}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{239}\! \left(x , y\right)
F_{239}\! \left(x , y\right) = F_{240}\! \left(x , y\right)
F_{240}\! \left(x , y\right) = F_{138}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{242}\! \left(x , y\right)
F_{242}\! \left(x , y\right) = F_{17}\! \left(x \right) F_{40}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{243}\! \left(x , y\right) = F_{196}\! \left(x , 1, y\right)
F_{244}\! \left(x , y\right) = F_{245}\! \left(x , y\right)+F_{247}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{246}\! \left(x , y\right)
F_{246}\! \left(x , y\right) = F_{17}\! \left(x \right) F_{40}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{247}\! \left(x , y\right) = F_{248}\! \left(x , y\right)+F_{256}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{249}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{250}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{251}\! \left(x , y\right)+F_{254}\! \left(x , y\right)
F_{251}\! \left(x , y\right) = F_{230}\! \left(x , y\right)+F_{252}\! \left(x , y\right)
F_{252}\! \left(x , y\right) = F_{253}\! \left(x , y\right)
F_{253}\! \left(x , y\right) = F_{138}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right) F_{85}\! \left(x \right)
F_{254}\! \left(x , y\right) = F_{255}\! \left(x , y\right)
F_{255}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right) F_{2}\! \left(x \right) F_{40}\! \left(x , y\right) F_{87}\! \left(x \right)
F_{256}\! \left(x , y\right) = F_{208}\! \left(x , 1, y\right)
F_{258}\! \left(x , y\right) = F_{257}\! \left(x , y\right)+F_{372}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = F_{258}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{260}\! \left(x , y\right) = F_{259}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{260}\! \left(x , y\right) = F_{261}\! \left(x , y\right)
F_{261}\! \left(x , y\right) = F_{262}\! \left(x , y\right)
F_{262}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{263}\! \left(x , y\right)
F_{263}\! \left(x , y\right) = F_{264}\! \left(x , y\right)+F_{299}\! \left(x , y\right)
F_{264}\! \left(x , y\right) = F_{265}\! \left(x , y\right)+F_{287}\! \left(x , y\right)
F_{265}\! \left(x , y\right) = F_{266}\! \left(x , y\right)+F_{286}\! \left(x , y\right)
F_{266}\! \left(x , y\right) = F_{21}\! \left(x \right)+F_{267}\! \left(x , y\right)+F_{277}\! \left(x , y\right)
F_{267}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{268}\! \left(x , y\right)
F_{268}\! \left(x , y\right) = F_{269}\! \left(x , y\right)+F_{270}\! \left(x , y\right)
F_{269}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{270}\! \left(x , y\right) = F_{271}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = y F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{13}\! \left(x \right) F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{276}\! \left(x \right)
F_{275}\! \left(x \right) = F_{13}\! \left(x \right)
F_{276}\! \left(x \right) = F_{272}\! \left(x \right)
F_{277}\! \left(x , y\right) = F_{278}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{278}\! \left(x , y\right) = F_{279}\! \left(x , y\right)+F_{280}\! \left(x , y\right)
F_{279}\! \left(x , y\right) = F_{11}\! \left(x \right)+F_{271}\! \left(x , y\right)
F_{280}\! \left(x , y\right) = F_{266}\! \left(x , y\right)+F_{281}\! \left(x , y\right)
F_{281}\! \left(x , y\right) = F_{282}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = F_{283}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{283}\! \left(x , y\right) = F_{284}\! \left(x , y\right)+F_{285}\! \left(x , y\right)
F_{284}\! \left(x , y\right) = F_{271}\! \left(x , y\right)
F_{285}\! \left(x , y\right) = F_{281}\! \left(x , y\right)
F_{286}\! \left(x , y\right) = -\frac{y \left(F_{27}\! \left(x , 1\right)-F_{27}\! \left(x , y\right)\right)}{-1+y}
F_{287}\! \left(x , y\right) = F_{288}\! \left(x , y\right)+F_{298}\! \left(x , y\right)
F_{288}\! \left(x , y\right) = -\frac{F_{289}\! \left(x , 1\right) y -F_{289}\! \left(x , y\right)}{-1+y}
F_{289}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{290}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{291}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{292}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{292}\! \left(x , y\right) = F_{293}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{293}\! \left(x , y\right) = F_{294}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{294}\! \left(x , y\right) = F_{21}\! \left(x \right)+F_{295}\! \left(x , y\right)+F_{297}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{296}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{296}\! \left(x , y\right) = F_{294}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{40}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{298}\! \left(x , y\right) = -\frac{y \left(F_{261}\! \left(x , 1\right)-F_{261}\! \left(x , y\right)\right)}{-1+y}
F_{299}\! \left(x , y\right) = F_{300}\! \left(x , y\right)+F_{335}\! \left(x , y\right)
F_{300}\! \left(x , y\right) = F_{288}\! \left(x , y\right)+F_{301}\! \left(x , y\right)
F_{301}\! \left(x , y\right) = -\frac{y \left(F_{302}\! \left(x , 1\right)-F_{302}\! \left(x , y\right)\right)}{-1+y}
F_{302}\! \left(x , y\right) = F_{303}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{304}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{305}\! \left(x , y\right)+F_{333}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{265}\! \left(x , y\right)+F_{306}\! \left(x , y\right)
F_{306}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{307}\! \left(x , y\right)
F_{307}\! \left(x , y\right) = F_{266}\! \left(x , y\right)+F_{308}\! \left(x , y\right)
F_{308}\! \left(x , y\right) = F_{266}\! \left(x , y\right)+F_{309}\! \left(x , y\right)
F_{309}\! \left(x , y\right) = F_{21}\! \left(x \right)+F_{310}\! \left(x , y\right)+F_{311}\! \left(x , y\right)+F_{315}\! \left(x , y\right)
F_{310}\! \left(x , y\right) = 0
F_{311}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{312}\! \left(x , y\right)
F_{312}\! \left(x , y\right) = F_{270}\! \left(x , y\right)+F_{313}\! \left(x , y\right)
F_{313}\! \left(x , y\right) = F_{314}\! \left(x , y\right)
F_{314}\! \left(x , y\right) = F_{311}\! \left(x , y\right)
F_{315}\! \left(x , y\right) = F_{316}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{317}\! \left(x , y\right)+F_{327}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = F_{314}\! \left(x , y\right)+F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{21}\! \left(x \right)+F_{273}\! \left(x \right)+F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{13}\! \left(x \right) F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)+F_{322}\! \left(x \right)
F_{321}\! \left(x \right) = F_{11}\! \left(x \right)+F_{272}\! \left(x \right)
F_{322}\! \left(x \right) = F_{318}\! \left(x \right)+F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{13}\! \left(x \right) F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{276}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{323}\! \left(x \right)
F_{327}\! \left(x , y\right) = F_{309}\! \left(x , y\right)+F_{328}\! \left(x , y\right)
F_{328}\! \left(x , y\right) = F_{329}\! \left(x , y\right)
F_{329}\! \left(x , y\right) = F_{330}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{330}\! \left(x , y\right) = F_{331}\! \left(x , y\right)+F_{332}\! \left(x , y\right)
F_{331}\! \left(x , y\right) = F_{314}\! \left(x , y\right)
F_{332}\! \left(x , y\right) = F_{328}\! \left(x , y\right)
F_{333}\! \left(x , y\right) = -\frac{F_{334}\! \left(x , 1\right) y -F_{334}\! \left(x , y\right)}{-1+y}
F_{334}\! \left(x , y\right) = F_{290}\! \left(x , y\right) F_{5}\! \left(x \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) = -\frac{F_{337}\! \left(x , 1\right) y -F_{337}\! \left(x , y\right)}{-1+y}
F_{337}\! \left(x , y\right) = F_{290}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{338}\! \left(x , y\right) = -\frac{y \left(F_{339}\! \left(x , 1\right)-F_{339}\! \left(x , y\right)\right)}{-1+y}
F_{339}\! \left(x , y\right) = F_{340}\! \left(x , y\right)
F_{340}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{341}\! \left(x , y\right)
F_{341}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{370}\! \left(x , y\right)
F_{342}\! \left(x , y\right) = F_{343}\! \left(x , y\right)
F_{343}\! \left(x , y\right) = F_{298}\! \left(x , y\right)+F_{344}\! \left(x , y\right)
F_{344}\! \left(x , y\right) = F_{345}\! \left(x , y\right)
F_{345}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{346}\! \left(x , y\right)
F_{346}\! \left(x , y\right) = F_{266}\! \left(x , y\right)+F_{347}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = F_{348}\! \left(x , y\right)
F_{348}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{349}\! \left(x , y\right)
F_{349}\! \left(x , y\right) = F_{350}\! \left(x , y\right)+F_{364}\! \left(x , y\right)
F_{350}\! \left(x , y\right) = F_{351}\! \left(x , y\right)+F_{363}\! \left(x , y\right)
F_{351}\! \left(x , y\right) = F_{352}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{357}\! \left(x \right)
F_{353}\! \left(x \right) = F_{13}\! \left(x \right)+F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{21}\! \left(x \right)+F_{355}\! \left(x \right)+F_{356}\! \left(x \right)
F_{355}\! \left(x \right) = x^{2}
F_{356}\! \left(x \right) = x^{2}
F_{357}\! \left(x \right) = F_{227}\! \left(x \right)+F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = F_{21}\! \left(x \right)+F_{359}\! \left(x \right)+F_{360}\! \left(x \right)+F_{362}\! \left(x \right)
F_{359}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right)
F_{360}\! \left(x \right) = F_{13}\! \left(x \right) F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{354}\! \left(x \right)+F_{358}\! \left(x \right)
F_{362}\! \left(x \right) = F_{13}\! \left(x \right) F_{227}\! \left(x \right)
F_{363}\! \left(x , y\right) = F_{226}\! \left(x \right) F_{296}\! \left(x , y\right)
F_{364}\! \left(x , y\right) = F_{365}\! \left(x , y\right) F_{85}\! \left(x \right)
F_{365}\! \left(x , y\right) = F_{366}\! \left(x , y\right)+F_{368}\! \left(x , y\right)
F_{366}\! \left(x , y\right) = F_{367}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{367}\! \left(x \right) = F_{14}\! \left(x \right)+F_{352}\! \left(x \right)
F_{368}\! \left(x , y\right) = F_{296}\! \left(x , y\right) F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{19}\! \left(x \right)+F_{226}\! \left(x \right)
F_{370}\! \left(x , y\right) = F_{371}\! \left(x , y\right)
F_{371}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{346}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{373}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{373}\! \left(x , y\right) = F_{374}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{374}\! \left(x , y\right) = F_{375}\! \left(x , y , 1\right)
F_{375}\! \left(x , y , z\right) = F_{172}\! \left(x , y , y z \right)
F_{376}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{377}\! \left(x , y\right)
F_{377}\! \left(x , y\right) = F_{378}\! \left(x , y\right)
F_{378}\! \left(x , y\right) = F_{39}\! \left(x , y\right)^{2} F_{42}\! \left(x , y\right)
F_{379}\! \left(x , y\right) = F_{261}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right)+F_{382}\! \left(x \right)
F_{381}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)+F_{6}\! \left(x \right)
F_{383}\! \left(x \right) = F_{261}\! \left(x , 1\right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)+F_{395}\! \left(x \right)
F_{385}\! \left(x \right) = F_{381}\! \left(x \right)+F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)+F_{394}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{13}\! \left(x \right) F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = F_{390}\! \left(x \right)+F_{393}\! \left(x \right)
F_{390}\! \left(x \right) = F_{10}\! \left(x \right)+F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x , 1\right)
F_{392}\! \left(x , y\right) = -\frac{-y F_{376}\! \left(x , y\right)+F_{376}\! \left(x , 1\right)}{-1+y}
F_{393}\! \left(x \right) = F_{11}\! \left(x \right) F_{5}\! \left(x \right)
F_{394}\! \left(x \right) = F_{302}\! \left(x , 1\right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{397}\! \left(x \right)
F_{396}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{418}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right)
F_{399}\! \left(x \right) = F_{13}\! \left(x \right) F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{401}\! \left(x \right)+F_{416}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{382}\! \left(x \right)+F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = F_{2}\! \left(x \right) F_{405}\! \left(x \right)
F_{405}\! \left(x \right) = F_{11}\! \left(x \right)+F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{21}\! \left(x \right)+F_{407}\! \left(x \right)+F_{415}\! \left(x \right)
F_{407}\! \left(x \right) = F_{13}\! \left(x \right) F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)+F_{412}\! \left(x \right)
F_{409}\! \left(x \right) = F_{11}\! \left(x \right)+F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)
F_{411}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right)
F_{412}\! \left(x \right) = F_{406}\! \left(x \right)+F_{413}\! \left(x \right)
F_{413}\! \left(x \right) = F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{13}\! \left(x \right) F_{406}\! \left(x \right)
F_{415}\! \left(x \right) = F_{13}\! \left(x \right) F_{352}\! \left(x \right)
F_{416}\! \left(x \right) = F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right) F_{405}\! \left(x \right)
F_{418}\! \left(x \right) = F_{339}\! \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_13(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_13(x)*F_8(x))
Eq(F_8(x), F_384(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_380(x))
Eq(F_10(x), F_11(x) + F_25(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_14(x))
Eq(F_13(x), x)
Eq(F_14(x), F_15(x) + F_16(x))
Eq(F_15(x), F_1(x) + F_13(x))
Eq(F_16(x), F_17(x) + F_20(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_13(x)*F_19(x))
Eq(F_19(x), F_1(x) + F_17(x))
Eq(F_20(x), F_21(x) + F_22(x) + F_24(x))
Eq(F_21(x), 0)
Eq(F_22(x), F_13(x)*F_23(x))
Eq(F_23(x), F_13(x) + F_20(x))
Eq(F_24(x), F_13(x)*F_17(x))
Eq(F_25(x), F_2(x) + F_26(x))
Eq(F_26(x), F_27(x, 1))
Eq(F_27(x, k_0), F_28(x, k_0))
Eq(F_28(x, k_0), F_29(x, k_0)*F_42(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0) + F_31(x, k_0))
Eq(F_30(x, k_0), F_2(x) + F_27(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0) + F_379(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0) + F_376(x, k_0))
Eq(F_33(x, k_0), F_2(x) + F_34(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0)*F_42(x, k_0))
Eq(F_36(x, k_0), F_33(x, k_0) + F_37(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0) + F_43(x, k_0))
Eq(F_38(x, k_0), F_2(x)*F_39(x, k_0))
Eq(F_39(x, k_0), F_1(x) + F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), F_39(x, k_0)*F_42(x, k_0))
Eq(F_42(x, k_0), k_0*x)
Eq(F_43(x, k_0), F_44(x, k_0) + F_6(x))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), F_42(x, k_0)*F_46(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0) + F_48(x, k_0))
Eq(F_47(x, k_0), F_39(x, k_0)*F_6(x))
Eq(F_48(x, k_0), F_257(x, k_0) + F_49(x, k_0))
Eq(F_49(x, k_0), F_148(x, k_0) + F_50(x))
Eq(F_50(x), F_142(x) + F_21(x) + F_51(x))
Eq(F_51(x), F_13(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_54(x))
Eq(F_53(x), F_2(x) + F_50(x))
Eq(F_54(x), F_55(x) + F_71(x))
Eq(F_55(x), F_21(x) + F_56(x) + F_60(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_13(x)*F_58(x))
Eq(F_58(x), F_2(x) + F_59(x))
Eq(F_59(x), F_17(x)*F_2(x))
Eq(F_60(x), F_13(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_2(x) + F_55(x))
Eq(F_63(x), F_64(x) + F_66(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_13(x)*F_2(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_13(x)*F_68(x))
Eq(F_68(x), F_59(x) + F_69(x))
Eq(F_69(x), F_6(x) + F_70(x))
Eq(F_70(x), F_44(x, 1))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_13(x)*F_73(x))
Eq(F_73(x), F_140(x) + F_74(x))
Eq(F_74(x), F_136(x) + F_75(x))
Eq(F_75(x), F_59(x) + F_76(x))
Eq(F_76(x), F_50(x) + F_77(x))
Eq(F_77(x), F_78(x, 1))
Eq(F_78(x, k_0), F_79(x, k_0))
Eq(F_79(x, k_0), F_42(x, k_0)*F_80(x, k_0))
Eq(F_80(x, k_0), F_81(x, k_0) + F_82(x, k_0))
Eq(F_81(x, k_0), F_50(x) + F_78(x, k_0))
Eq(F_82(x, k_0), F_83(x, k_0) + F_88(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), F_2(x)*F_39(x, k_0)*F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_13(x)*F_15(x)*F_87(x))
Eq(F_87(x), F_1(x) + F_85(x))
Eq(F_88(x, k_0), F_89(x) + F_98(x, k_0))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_13(x)*F_91(x))
Eq(F_91(x), F_123(x) + F_92(x))
Eq(F_92(x), F_68(x) + F_93(x))
Eq(F_93(x), F_94(x) + F_96(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_17(x)*F_2(x)*F_85(x))
Eq(F_96(x), F_89(x) + F_97(x))
Eq(F_97(x), F_98(x, 1))
Eq(F_98(x, k_0), F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0)*F_13(x))
Eq(F_100(x, k_0), F_101(x, k_0) + F_110(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0) + F_106(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0) + F_105(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0))
Eq(F_104(x, k_0), F_17(x)*F_2(x)*F_40(x, k_0))
Eq(F_105(x, k_0), -F_44(x, 1) + (k_0*F_44(x, k_0) - F_44(x, 1))/(k_0 - 1))
Eq(F_106(x, k_0), F_107(x, k_0) + F_109(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0))
Eq(F_108(x, k_0), F_17(x)*F_2(x)*F_40(x, k_0)*F_85(x))
Eq(F_109(x, k_0), -F_98(x, 1) + (k_0*F_98(x, k_0) - F_98(x, 1))/(k_0 - 1))
Eq(F_110(x, k_0), F_111(x, k_0) + F_117(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0) + F_114(x, k_0))
Eq(F_112(x, k_0), F_113(x, k_0))
Eq(F_113(x, k_0), F_13(x)*F_17(x)*F_2(x)*F_40(x, k_0))
Eq(F_114(x, k_0), -F_115(x, 1) + (k_0*F_115(x, k_0) - F_115(x, 1))/(k_0 - 1))
Eq(F_115(x, k_0), F_116(x, k_0))
Eq(F_116(x, k_0), F_102(x, k_0)*F_13(x))
Eq(F_117(x, k_0), F_118(x, k_0) + F_120(x, k_0))
Eq(F_118(x, k_0), F_119(x, k_0))
Eq(F_119(x, k_0), F_13(x)*F_17(x)*F_2(x)*F_40(x, k_0)*F_85(x))
Eq(F_120(x, k_0), -F_121(x, 1) + (k_0*F_121(x, k_0) - F_121(x, 1))/(k_0 - 1))
Eq(F_121(x, k_0), F_122(x, k_0))
Eq(F_122(x, k_0), F_106(x, k_0)*F_13(x))
Eq(F_123(x), F_124(x) + F_129(x))
Eq(F_124(x), F_125(x) + F_127(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_13(x)*F_17(x)*F_2(x))
Eq(F_127(x), F_128(x) + F_66(x))
Eq(F_128(x), F_115(x, 1))
Eq(F_129(x), F_130(x) + F_132(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_13(x)*F_17(x)*F_2(x)*F_85(x))
Eq(F_132(x), F_133(x) + F_135(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_13(x)*F_93(x))
Eq(F_135(x), F_121(x, 1))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_2(x)*F_85(x))
Eq(F_138(x), F_139(x) + F_17(x))
Eq(F_139(x), F_17(x)*F_19(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_13(x)*F_17(x)*F_2(x)*F_87(x))
Eq(F_142(x), F_13(x)*F_143(x))
Eq(F_143(x), F_144(x) + F_145(x))
Eq(F_144(x), F_2(x) + F_50(x))
Eq(F_145(x), F_146(x) + F_89(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_2(x)*F_85(x))
Eq(F_148(x, k_0), F_149(x, k_0))
Eq(F_149(x, k_0), F_13(x)*F_150(x, k_0))
Eq(F_150(x, k_0), F_151(x, k_0) + F_232(x, k_0))
Eq(F_151(x, k_0), F_152(x, k_0) + F_230(x, k_0))
Eq(F_152(x, k_0), F_153(x, k_0) + F_156(x, k_0))
Eq(F_153(x, k_0), F_154(x, k_0))
Eq(F_154(x, k_0), F_155(x, k_0)*F_42(x, k_0))
Eq(F_155(x, k_0), F_153(x, k_0) + F_17(x))
Eq(F_156(x, k_0), F_157(x, k_0) + F_162(x, k_0))
Eq(F_157(x, k_0), F_158(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0)*F_42(x, k_0))
Eq(F_159(x, k_0), F_160(x, k_0) + F_161(x, k_0))
Eq(F_160(x, k_0), F_157(x, k_0) + F_2(x))
Eq(F_161(x, k_0), F_38(x, k_0) + F_49(x, k_0))
Eq(F_162(x, k_0), F_163(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0)*F_42(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0) + F_167(x, k_0))
Eq(F_165(x, k_0), F_162(x, k_0) + F_166(x))
Eq(F_166(x), F_34(x, 1))
Eq(F_167(x, k_0), F_168(x, k_0) + F_170(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0))
Eq(F_169(x, k_0), F_17(x)*F_2(x)*F_39(x, k_0))
Eq(F_170(x, k_0), F_171(x, k_0) + F_77(x))
Eq(F_171(x, k_0), F_172(x, 1, k_0))
Eq(F_172(x, k_0, k_1), F_173(x, k_0, k_1))
Eq(F_173(x, k_0, k_1), F_13(x)*F_174(x, k_0, k_1))
Eq(F_174(x, k_0, k_1), F_175(x, k_0, k_1) + F_193(x, k_0, k_1))
Eq(F_175(x, k_0, k_1), F_176(x, k_0, k_1) + F_189(x, k_0, k_1))
Eq(F_176(x, k_0, k_1), F_177(x, k_0, k_1) + F_180(x, k_0, k_1))
Eq(F_177(x, k_0, k_1), F_178(x, k_0, k_1))
Eq(F_178(x, k_0, k_1), F_179(x, k_0, k_1)*F_42(x, k_1))
Eq(F_179(x, k_0, k_1), F_153(x, k_0) + F_177(x, k_0, k_1))
Eq(F_180(x, k_0, k_1), -F_181(x, 1, k_1) + (k_0*F_181(x, k_0, k_1) - F_181(x, 1, k_1))/(k_0 - 1))
Eq(F_181(x, k_0, k_1), F_182(x, k_0, k_1))
Eq(F_182(x, k_0, k_1), F_183(x, k_0, k_1)*F_42(x, k_1))
Eq(F_183(x, k_0, k_1), F_184(x, k_0, k_1) + F_185(x, k_0, k_1))
Eq(F_184(x, k_0, k_1), F_181(x, k_0, k_1) + F_34(x, k_0))
Eq(F_185(x, k_0, k_1), F_186(x, k_0, k_1) + F_188(x, k_0, k_1))
Eq(F_186(x, k_0, k_1), F_187(x, k_0, k_1))
Eq(F_187(x, k_0, k_1), F_2(x)*F_39(x, k_1)*F_40(x, k_0))
Eq(F_188(x, k_0, k_1), F_172(x, k_0, k_1) + F_78(x, k_0))
Eq(F_189(x, k_0, k_1), F_190(x, k_0, k_1) + F_192(x, k_0, k_1))
Eq(F_190(x, k_0, k_1), F_191(x, k_0, k_1))
Eq(F_191(x, k_0, k_1), F_17(x)*F_2(x)*F_40(x, k_0)*F_40(x, k_1))
Eq(F_192(x, k_0, k_1), -F_172(x, 1, k_1) + (k_0*F_172(x, k_0, k_1) - F_172(x, 1, k_1))/(k_0 - 1))
Eq(F_193(x, k_0, k_1), F_194(x, k_0, k_1) + F_204(x, k_0, k_1))
Eq(F_194(x, k_0, k_1), F_190(x, k_0, k_1) + F_195(x, k_0, k_1))
Eq(F_195(x, k_0, k_1), -F_196(x, 1, k_1) + (k_0*F_196(x, k_0, k_1) - F_196(x, 1, k_1))/(k_0 - 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_13(x)*F_198(x, k_0, k_1))
Eq(F_198(x, k_0, k_1), F_199(x, k_0, k_1) + F_202(x, k_0, k_1))
Eq(F_199(x, k_0, k_1), F_176(x, k_0, k_1) + F_200(x, k_0, k_1))
Eq(F_200(x, k_0, k_1), F_201(x, k_0, k_1))
Eq(F_201(x, k_0, k_1), F_138(x)*F_2(x)*F_40(x, k_0)*F_40(x, k_1))
Eq(F_202(x, k_0, k_1), F_203(x, k_0, k_1))
Eq(F_203(x, k_0, k_1), F_17(x)*F_40(x, k_0)*F_40(x, k_1)*F_5(x))
Eq(F_204(x, k_0, k_1), F_205(x, k_0, k_1) + F_207(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_17(x)*F_40(x, k_0)*F_40(x, k_1)*F_6(x))
Eq(F_207(x, k_0, k_1), -F_208(x, 1, k_1) + (k_0*F_208(x, k_0, k_1) - F_208(x, 1, k_1))/(k_0 - 1))
Eq(F_208(x, k_0, k_1), F_209(x, k_0, k_1))
Eq(F_209(x, k_0, k_1), F_13(x)*F_210(x, k_0, k_1))
Eq(F_210(x, k_0, k_1), F_211(x, k_0, k_1) + F_228(x, k_0, k_1))
Eq(F_211(x, k_0, k_1), F_212(x, k_0, k_1))
Eq(F_212(x, k_0, k_1), F_192(x, k_0, k_1) + F_213(x, k_0, k_1))
Eq(F_213(x, k_0, k_1), F_214(x, k_0, k_1))
Eq(F_214(x, k_0, k_1), F_2(x)*F_215(x)*F_40(x, k_0)*F_40(x, k_1))
Eq(F_215(x), F_17(x) + F_216(x))
Eq(F_216(x), F_21(x) + F_217(x) + F_225(x))
Eq(F_217(x), F_13(x)*F_218(x))
Eq(F_218(x), F_219(x) + F_222(x))
Eq(F_219(x), F_17(x) + F_220(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_13(x)*F_17(x))
Eq(F_222(x), F_216(x) + F_223(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_13(x)*F_216(x))
Eq(F_225(x), F_13(x)*F_226(x))
Eq(F_226(x), F_13(x) + F_227(x))
Eq(F_227(x), F_21(x) + F_221(x) + F_225(x))
Eq(F_228(x, k_0, k_1), F_229(x, k_0, k_1))
Eq(F_229(x, k_0, k_1), F_13(x)*F_2(x)*F_215(x)*F_40(x, k_0)*F_40(x, k_1))
Eq(F_230(x, k_0), F_103(x, k_0) + F_231(x, k_0))
Eq(F_231(x, k_0), F_148(x, k_0) + F_171(x, k_0))
Eq(F_232(x, k_0), F_233(x, k_0) + F_244(x, k_0))
Eq(F_233(x, k_0), F_103(x, k_0) + F_234(x, k_0))
Eq(F_234(x, k_0), F_235(x, k_0) + F_243(x, k_0))
Eq(F_235(x, k_0), F_236(x, k_0))
Eq(F_236(x, k_0), F_13(x)*F_237(x, k_0))
Eq(F_237(x, k_0), F_238(x, k_0) + F_241(x, k_0))
Eq(F_238(x, k_0), F_152(x, k_0) + F_239(x, k_0))
Eq(F_239(x, k_0), F_240(x, k_0))
Eq(F_240(x, k_0), F_138(x)*F_2(x)*F_40(x, k_0))
Eq(F_241(x, k_0), F_242(x, k_0))
Eq(F_242(x, k_0), F_17(x)*F_40(x, k_0)*F_5(x))
Eq(F_243(x, k_0), F_196(x, 1, k_0))
Eq(F_244(x, k_0), F_245(x, k_0) + F_247(x, k_0))
Eq(F_245(x, k_0), F_246(x, k_0))
Eq(F_246(x, k_0), F_17(x)*F_40(x, k_0)*F_6(x))
Eq(F_247(x, k_0), F_248(x, k_0) + F_256(x, k_0))
Eq(F_248(x, k_0), F_249(x, k_0))
Eq(F_249(x, k_0), F_13(x)*F_250(x, k_0))
Eq(F_250(x, k_0), F_251(x, k_0) + F_254(x, k_0))
Eq(F_251(x, k_0), F_230(x, k_0) + F_252(x, k_0))
Eq(F_252(x, k_0), F_253(x, k_0))
Eq(F_253(x, k_0), F_138(x)*F_2(x)*F_40(x, k_0)*F_85(x))
Eq(F_254(x, k_0), F_255(x, k_0))
Eq(F_255(x, k_0), F_13(x)*F_17(x)*F_2(x)*F_40(x, k_0)*F_87(x))
Eq(F_256(x, k_0), F_208(x, 1, k_0))
Eq(F_258(x, k_0), F_257(x, k_0) + F_372(x, k_0))
Eq(F_259(x, k_0), F_258(x, k_0) + F_47(x, k_0))
Eq(F_260(x, k_0), F_259(x, k_0)*F_42(x, k_0))
Eq(F_260(x, k_0), F_261(x, k_0))
Eq(F_261(x, k_0), F_262(x, k_0))
Eq(F_262(x, k_0), F_13(x)*F_263(x, k_0))
Eq(F_263(x, k_0), F_264(x, k_0) + F_299(x, k_0))
Eq(F_264(x, k_0), F_265(x, k_0) + F_287(x, k_0))
Eq(F_265(x, k_0), F_266(x, k_0) + F_286(x, k_0))
Eq(F_266(x, k_0), F_21(x) + F_267(x, k_0) + F_277(x, k_0))
Eq(F_267(x, k_0), F_13(x)*F_268(x, k_0))
Eq(F_268(x, k_0), F_269(x, k_0) + F_270(x, k_0))
Eq(F_269(x, k_0), F_42(x, k_0))
Eq(F_270(x, k_0), F_271(x, k_0))
Eq(F_271(x, k_0), k_0*F_272(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_13(x)*F_274(x))
Eq(F_274(x), F_275(x) + F_276(x))
Eq(F_275(x), F_13(x))
Eq(F_276(x), F_272(x))
Eq(F_277(x, k_0), F_278(x, k_0)*F_42(x, k_0))
Eq(F_278(x, k_0), F_279(x, k_0) + F_280(x, k_0))
Eq(F_279(x, k_0), F_11(x) + F_271(x, k_0))
Eq(F_280(x, k_0), F_266(x, k_0) + F_281(x, k_0))
Eq(F_281(x, k_0), F_282(x, k_0))
Eq(F_282(x, k_0), F_283(x, k_0)*F_42(x, k_0))
Eq(F_283(x, k_0), F_284(x, k_0) + F_285(x, k_0))
Eq(F_284(x, k_0), F_271(x, k_0))
Eq(F_285(x, k_0), F_281(x, k_0))
Eq(F_286(x, k_0), -F_27(x, 1) + (k_0*F_27(x, k_0) - F_27(x, 1))/(k_0 - 1))
Eq(F_287(x, k_0), F_288(x, k_0) + F_298(x, k_0))
Eq(F_288(x, k_0), -F_289(x, 1) - F_289(x, k_0) + (k_0*F_289(x, k_0) - F_289(x, 1))/(k_0 - 1))
Eq(F_289(x, k_0), F_2(x)*F_290(x, k_0))
Eq(F_290(x, k_0), F_291(x, k_0))
Eq(F_291(x, k_0), F_292(x, k_0)*F_42(x, k_0))
Eq(F_292(x, k_0), F_293(x, k_0) + F_42(x, k_0))
Eq(F_293(x, k_0), F_294(x, k_0) + F_40(x, k_0))
Eq(F_294(x, k_0), F_21(x) + F_295(x, k_0) + F_297(x, k_0))
Eq(F_295(x, k_0), F_296(x, k_0)*F_42(x, k_0))
Eq(F_296(x, k_0), F_294(x, k_0) + F_42(x, k_0))
Eq(F_297(x, k_0), F_40(x, k_0)*F_42(x, k_0))
Eq(F_298(x, k_0), -F_261(x, 1) + (k_0*F_261(x, k_0) - F_261(x, 1))/(k_0 - 1))
Eq(F_299(x, k_0), F_300(x, k_0) + F_335(x, k_0))
Eq(F_300(x, k_0), F_288(x, k_0) + F_301(x, k_0))
Eq(F_301(x, k_0), -F_302(x, 1) + (k_0*F_302(x, k_0) - F_302(x, 1))/(k_0 - 1))
Eq(F_302(x, k_0), F_303(x, k_0))
Eq(F_303(x, k_0), F_13(x)*F_304(x, k_0))
Eq(F_304(x, k_0), F_305(x, k_0) + F_333(x, k_0))
Eq(F_305(x, k_0), F_265(x, k_0) + F_306(x, k_0))
Eq(F_306(x, k_0), F_2(x)*F_307(x, k_0))
Eq(F_307(x, k_0), F_266(x, k_0) + F_308(x, k_0))
Eq(F_308(x, k_0), F_266(x, k_0) + F_309(x, k_0))
Eq(F_309(x, k_0), F_21(x) + F_310(x, k_0) + F_311(x, k_0) + F_315(x, k_0))
Eq(F_310(x, k_0), 0)
Eq(F_311(x, k_0), F_13(x)*F_312(x, k_0))
Eq(F_312(x, k_0), F_270(x, k_0) + F_313(x, k_0))
Eq(F_313(x, k_0), F_314(x, k_0))
Eq(F_314(x, k_0), F_311(x, k_0))
Eq(F_315(x, k_0), F_316(x, k_0)*F_42(x, k_0))
Eq(F_316(x, k_0), F_317(x, k_0) + F_327(x, k_0))
Eq(F_317(x, k_0), F_314(x, k_0) + F_318(x))
Eq(F_318(x), F_21(x) + F_273(x) + F_319(x))
Eq(F_319(x), F_13(x)*F_320(x))
Eq(F_320(x), F_321(x) + F_322(x))
Eq(F_321(x), F_11(x) + F_272(x))
Eq(F_322(x), F_318(x) + F_323(x))
Eq(F_323(x), F_324(x))
Eq(F_324(x), F_13(x)*F_325(x))
Eq(F_325(x), F_276(x) + F_326(x))
Eq(F_326(x), F_323(x))
Eq(F_327(x, k_0), F_309(x, k_0) + F_328(x, k_0))
Eq(F_328(x, k_0), F_329(x, k_0))
Eq(F_329(x, k_0), F_330(x, k_0)*F_42(x, k_0))
Eq(F_330(x, k_0), F_331(x, k_0) + F_332(x, k_0))
Eq(F_331(x, k_0), F_314(x, k_0))
Eq(F_332(x, k_0), F_328(x, k_0))
Eq(F_333(x, k_0), -F_334(x, 1) - F_334(x, k_0) + (k_0*F_334(x, k_0) - F_334(x, 1))/(k_0 - 1))
Eq(F_334(x, k_0), F_290(x, k_0)*F_5(x))
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, 1) - F_337(x, k_0) + (k_0*F_337(x, k_0) - F_337(x, 1))/(k_0 - 1))
Eq(F_337(x, k_0), F_290(x, k_0)*F_6(x))
Eq(F_338(x, k_0), -F_339(x, 1) + (k_0*F_339(x, k_0) - F_339(x, 1))/(k_0 - 1))
Eq(F_339(x, k_0), F_340(x, k_0))
Eq(F_340(x, k_0), F_13(x)*F_341(x, k_0))
Eq(F_341(x, k_0), F_342(x, k_0) + F_370(x, k_0))
Eq(F_342(x, k_0), F_343(x, k_0))
Eq(F_343(x, k_0), F_298(x, k_0) + F_344(x, k_0))
Eq(F_344(x, k_0), F_345(x, k_0))
Eq(F_345(x, k_0), F_2(x)*F_346(x, k_0))
Eq(F_346(x, k_0), F_266(x, k_0) + F_347(x, k_0))
Eq(F_347(x, k_0), F_348(x, k_0))
Eq(F_348(x, k_0), F_13(x)*F_349(x, k_0))
Eq(F_349(x, k_0), F_350(x, k_0) + F_364(x, k_0))
Eq(F_350(x, k_0), F_351(x, k_0) + F_363(x, k_0))
Eq(F_351(x, k_0), F_352(x)*F_40(x, k_0))
Eq(F_352(x), F_353(x) + F_357(x))
Eq(F_353(x), F_13(x) + F_354(x))
Eq(F_354(x), F_21(x) + F_355(x) + F_356(x))
Eq(F_355(x), x**2)
Eq(F_356(x), x**2)
Eq(F_357(x), F_227(x) + F_358(x))
Eq(F_358(x), F_21(x) + F_359(x) + F_360(x) + F_362(x))
Eq(F_359(x), F_13(x)*F_20(x))
Eq(F_360(x), F_13(x)*F_361(x))
Eq(F_361(x), F_354(x) + F_358(x))
Eq(F_362(x), F_13(x)*F_227(x))
Eq(F_363(x, k_0), F_226(x)*F_296(x, k_0))
Eq(F_364(x, k_0), F_365(x, k_0)*F_85(x))
Eq(F_365(x, k_0), F_366(x, k_0) + F_368(x, k_0))
Eq(F_366(x, k_0), F_367(x)*F_40(x, k_0))
Eq(F_367(x), F_14(x) + F_352(x))
Eq(F_368(x, k_0), F_296(x, k_0)*F_369(x))
Eq(F_369(x), F_19(x) + F_226(x))
Eq(F_370(x, k_0), F_371(x, k_0))
Eq(F_371(x, k_0), F_13(x)*F_2(x)*F_346(x, k_0))
Eq(F_372(x, k_0), F_373(x, k_0) + F_49(x, k_0))
Eq(F_373(x, k_0), F_374(x, k_0) + F_78(x, k_0))
Eq(F_374(x, k_0), F_375(x, k_0, 1))
Eq(F_375(x, k_0, k_1), F_172(x, k_0, k_0*k_1))
Eq(F_376(x, k_0), F_2(x)*F_377(x, k_0))
Eq(F_377(x, k_0), F_378(x, k_0))
Eq(F_378(x, k_0), F_39(x, k_0)**2*F_42(x, k_0))
Eq(F_379(x, k_0), F_261(x, k_0) + F_6(x))
Eq(F_380(x), F_381(x) + F_382(x))
Eq(F_381(x), F_11(x)*F_2(x))
Eq(F_382(x), F_383(x) + F_6(x))
Eq(F_383(x), F_261(x, 1))
Eq(F_384(x), F_385(x) + F_395(x))
Eq(F_385(x), F_381(x) + F_386(x))
Eq(F_386(x), F_387(x) + F_394(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_13(x)*F_389(x))
Eq(F_389(x), F_390(x) + F_393(x))
Eq(F_390(x), F_10(x) + F_391(x))
Eq(F_391(x), F_392(x, 1))
Eq(F_392(x, k_0), (-k_0*F_376(x, k_0) + F_376(x, 1))/(1 - k_0))
Eq(F_393(x), F_11(x)*F_5(x))
Eq(F_394(x), F_302(x, 1))
Eq(F_395(x), F_396(x) + F_397(x))
Eq(F_396(x), F_11(x)*F_6(x))
Eq(F_397(x), F_398(x) + F_418(x))
Eq(F_398(x), F_399(x))
Eq(F_399(x), F_13(x)*F_400(x))
Eq(F_400(x), F_401(x) + F_416(x))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_382(x) + F_403(x))
Eq(F_403(x), F_404(x))
Eq(F_404(x), F_2(x)*F_405(x))
Eq(F_405(x), F_11(x) + F_406(x))
Eq(F_406(x), F_21(x) + F_407(x) + F_415(x))
Eq(F_407(x), F_13(x)*F_408(x))
Eq(F_408(x), F_409(x) + F_412(x))
Eq(F_409(x), F_11(x) + F_410(x))
Eq(F_410(x), F_411(x))
Eq(F_411(x), F_11(x)*F_13(x))
Eq(F_412(x), F_406(x) + F_413(x))
Eq(F_413(x), F_414(x))
Eq(F_414(x), F_13(x)*F_406(x))
Eq(F_415(x), F_13(x)*F_352(x))
Eq(F_416(x), F_417(x))
Eq(F_417(x), F_13(x)*F_2(x)*F_405(x))
Eq(F_418(x), F_339(x, 1))
Pack JSON:
{"name": "insertion_point_col_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.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": true, "maxreqlen": 1, "extra_basis": [], "one_cell_only": true}, {"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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}], [{"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": null}], "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]]}, {"patt": [4, 1, 0, 2, 3], "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, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[2, 2], [2, 2]]}, {"patt": [0, 1], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [1, 1]]}, {"patt": [1, 0], "pos": [[2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [0, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 3], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 3], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [1, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [3, 1], [3, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 3], [0, 1], [3, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 3], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 3], [0, 0], [0, 3], [0, 3]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 3], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [0, 1], [0, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 3], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 3], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"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], [1, 1]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [4, 0, 1, 2, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"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], [1, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [4, 1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [4, 1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [4, 1, 0, 2, 3], "pos": [[0, 3], [0, 3], 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{"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[2, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[3, 1]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[4, 1]]}]}]}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"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]]}, {"patt": [4, 1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 1]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"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]]}, {"patt": [4, 1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}]}

Specification 2
Strategy pack name: insertion_point_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25523/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[8,x]
F[4,x] = F[39,x]+F[5,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[8,x]*F[9,x]
F[8,x] = x
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]+F[18,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[8,x]
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[14,x]*F[8,x]
F[17,x] = F[11,x]
F[18,x] = F[19,x]+F[20,x]+F[32,x]
F[19,x] = 0
F[20,x] = F[21,x]*F[8,x]
F[21,x] = F[22,x]+F[31,x]
F[22,x] = F[23,x]+F[6,x]
F[23,x] = F[19,x]+F[24,x]+F[25,x]
F[24,x] = F[22,x]*F[8,x]
F[25,x] = F[26,x]*F[8,x]
F[26,x] = F[27,x]
F[27,x] = F[15,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[8,x]
F[30,x] = F[28,x]+F[6,x]
F[31,x] = F[18,x]
F[32,x] = F[33,x]*F[8,x]
F[33,x] = F[34,x]
F[34,x] = F[11,x]+F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[37,x]*F[8,x]
F[37,x] = F[30,x]+F[38,x]
F[38,x] = F[35,x]
F[39,x] = F[2,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[42,x]*F[8,x]
F[42,x] = F[43,x]+F[525,x]
F[43,x] = F[44,x]+F[523,x]
F[44,x] = F[2,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[47,x]*F[8,x]
F[47,x] = F[44,x]+F[48,x]
F[48,x] = F[312,x]+F[49,x]
F[49,x] = F[135,x]+F[50,x]
F[50,x] = F[2,x]+F[51,x]
F[51,x] = F[52,x,1]
F[52,x,k[0]] = F[19,x]+F[522,x,k[0]]+F[53,x,k[0]]
F[54,x,k[0]] = F[19,x]+F[314,x,k[0]]+F[53,x,k[0]]
F[54,x,k[0]] = F[55,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]*F[64,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]+F[58,x,k[0]]
F[57,x,k[0]] = F[2,x]+F[54,x,k[0]]
F[58,x,k[0]] = F[59,x,k[0]]+F[75,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]+F[61,x,k[0]]
F[60,x,k[0]] = F[2,x]+F[52,x,k[0]]
F[61,x,k[0]] = F[2,x]*F[62,x,k[0]]
F[62,x,k[0]] = F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]*F[65,x,k[0]]
F[64,x,k[0]] = k[0]*x
F[65,x,k[0]] = F[66,x,k[0]]+F[67,x,k[0]]
F[66,x,k[0]] = F[1,x]+F[64,x,k[0]]
F[67,x,k[0]] = F[68,x,k[0]]+F[71,x,k[0]]
F[68,x,k[0]] = F[69,x,k[0]]
F[69,x,k[0]] = F[64,x,k[0]]*F[70,x,k[0]]
F[70,x,k[0]] = F[1,x]+F[68,x,k[0]]
F[71,x,k[0]] = F[19,x]+F[72,x,k[0]]+F[74,x,k[0]]
F[72,x,k[0]] = F[64,x,k[0]]*F[73,x,k[0]]
F[73,x,k[0]] = F[64,x,k[0]]+F[71,x,k[0]]
F[74,x,k[0]] = F[64,x,k[0]]*F[68,x,k[0]]
F[75,x,k[0]] = F[196,x,k[0]]+F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[78,x]*F[8,x]
F[78,x] = F[133,x]+F[79,x]
F[79,x] = F[43,x]+F[80,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[11,x]
F[82,x] = F[113,x]+F[19,x]+F[83,x]
F[83,x] = F[8,x]*F[84,x]
F[84,x] = F[80,x]+F[85,x]
F[85,x] = F[86,x]+F[93,x]
F[86,x] = F[87,x]
F[87,x] = F[8,x]*F[88,x]
F[88,x] = F[89,x]+F[92,x]
F[89,x] = F[81,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[8,x]*F[89,x]
F[92,x] = F[86,x]
F[93,x] = 2*F[19,x]+F[106,x]+F[94,x]
F[94,x] = F[8,x]*F[95,x]
F[95,x] = F[105,x]+F[96,x]
F[96,x] = F[82,x]+F[97,x]
F[97,x] = 2*F[19,x]+F[98,x]+F[99,x]
F[98,x] = F[8,x]*F[96,x]
F[99,x] = F[100,x]*F[8,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]+F[90,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[8,x]
F[104,x] = F[102,x]+F[82,x]
F[105,x] = F[93,x]
F[106,x] = F[107,x]*F[8,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]+F[86,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[8,x]
F[111,x] = F[104,x]+F[112,x]
F[112,x] = F[109,x]
F[113,x] = F[114,x]*F[8,x]
F[114,x] = F[115,x]+F[119,x]
F[115,x] = F[116,x]+F[8,x]
F[116,x] = F[117,x]+F[118,x]+F[19,x]
F[117,x] = x^2
F[118,x] = x^2
F[119,x] = F[120,x]+F[124,x]
F[120,x] = F[121,x]+F[122,x]+F[19,x]
F[121,x] = F[15,x]*F[8,x]
F[122,x] = F[123,x]*F[8,x]
F[123,x] = F[120,x]+F[8,x]
F[124,x] = F[125,x]+F[130,x]+F[132,x]+F[19,x]
F[125,x] = F[126,x]*F[8,x]
F[126,x] = F[127,x]+F[129,x]+F[19,x]
F[127,x] = F[128,x]*F[8,x]
F[128,x] = F[126,x]+F[8,x]
F[129,x] = F[15,x]*F[8,x]
F[130,x] = F[131,x]*F[8,x]
F[131,x] = F[116,x]+F[124,x]
F[132,x] = F[120,x]*F[8,x]
F[133,x] = F[134,x]+F[311,x]
F[134,x] = F[135,x]+F[136,x]
F[135,x] = F[2,x]*F[81,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[8,x]
F[138,x] = F[139,x]+F[153,x]
F[139,x] = F[140,x]+F[144,x]
F[140,x] = F[141,x]+F[143,x]
F[141,x] = F[142,x,1]
F[142,x,k[0]] = (F[61,x,k[0]]*k[0]-F[61,x,1])/(-1+k[0])
F[143,x] = F[45,x]*F[81,x]
F[144,x] = F[145,x]+F[148,x]
F[145,x] = F[146,x,1]
F[146,x,k[0]] = (F[147,x,k[0]]*k[0]-F[147,x,1])/(-1+k[0])
F[147,x,k[0]] = F[2,x]*F[62,x,k[0]]*F[8,x]
F[148,x] = F[149,x]*F[81,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[8,x]
F[151,x] = F[152,x,1]
F[152,x,k[0]] = 1/(-1+k[0])*(F[54,x,k[0]]*k[0]-F[54,x,1])
F[153,x] = F[154,x]+F[179,x]
F[154,x] = F[155,x]+F[174,x]
F[155,x] = F[156,x]*F[2,x]
F[156,x] = F[157,x]+F[173,x]
F[157,x] = F[158,x]+F[81,x]
F[158,x] = F[159,x]+F[81,x]
F[159,x] = F[160,x]+F[165,x]+F[19,x]
F[160,x] = F[161,x]*F[8,x]
F[161,x] = F[162,x]+F[163,x]
F[162,x] = F[8,x]
F[163,x] = F[164,x]
F[164,x] = F[160,x]
F[165,x] = F[166,x]*F[8,x]
F[166,x] = F[167,x]+F[168,x]
F[167,x] = F[164,x]+F[81,x]
F[168,x] = F[159,x]+F[169,x]
F[169,x] = F[170,x]
F[170,x] = F[171,x]*F[8,x]
F[171,x] = F[163,x]+F[172,x]
F[172,x] = F[169,x]
F[173,x] = F[81,x]^2
F[174,x] = F[175,x]+F[178,x]
F[175,x] = F[176,x,1]
F[176,x,k[0]] = (F[177,x,k[0]]*k[0]-F[177,x,1])/(-1+k[0])
F[177,x,k[0]] = F[40,x]*F[62,x,k[0]]
F[178,x] = F[136,x]*F[81,x]
F[179,x] = F[180,x]+F[268,x]
F[180,x] = F[181,x]+F[194,x]
F[181,x] = F[182,x]+F[183,x]
F[182,x] = F[76,x]*F[81,x]
F[183,x] = F[184,x]
F[184,x] = F[185,x,1]
F[185,x,k[0]] = -k[0]*(F[186,x,1]-F[186,x,k[0]])/(-1+k[0])
F[186,x,k[0]] = F[187,x]*F[2,x]*F[62,x,k[0]]
F[187,x] = F[188,x]
F[188,x] = F[189,x]*F[8,x]
F[189,x] = F[190,x]+F[191,x]
F[190,x] = F[1,x]+F[8,x]
F[191,x] = F[187,x]+F[192,x]
F[192,x] = F[193,x]
F[193,x] = F[187,x]*F[8,x]
F[194,x] = F[195,x]*F[81,x]
F[195,x] = F[196,x,1]
F[196,x,k[0]] = F[197,x,k[0]]
F[197,x,k[0]] = F[198,x,k[0]]*F[8,x]
F[198,x,k[0]] = F[199,x,k[0]]+F[227,x,k[0]]
F[199,x,k[0]] = F[200,x,k[0]]+F[217,x,k[0]]
F[200,x,k[0]] = F[201,x,k[0]]+F[216,x,k[0]]
F[201,x,k[0]] = F[19,x]+F[202,x,k[0]]+F[207,x,k[0]]
F[202,x,k[0]] = F[203,x,k[0]]*F[8,x]
F[203,x,k[0]] = F[204,x,k[0]]+F[205,x,k[0]]
F[204,x,k[0]] = F[64,x,k[0]]
F[205,x,k[0]] = F[206,x,k[0]]
F[206,x,k[0]] = k[0]*F[164,x]
F[207,x,k[0]] = F[208,x,k[0]]*F[64,x,k[0]]
F[208,x,k[0]] = F[209,x,k[0]]+F[210,x,k[0]]
F[209,x,k[0]] = F[206,x,k[0]]+F[81,x]
F[210,x,k[0]] = F[201,x,k[0]]+F[211,x,k[0]]
F[211,x,k[0]] = F[212,x,k[0]]
F[212,x,k[0]] = F[213,x,k[0]]*F[64,x,k[0]]
F[213,x,k[0]] = F[214,x,k[0]]+F[215,x,k[0]]
F[214,x,k[0]] = F[206,x,k[0]]
F[215,x,k[0]] = F[211,x,k[0]]
F[216,x,k[0]] = -k[0]*(F[54,x,1]-F[54,x,k[0]])/(-1+k[0])
F[217,x,k[0]] = F[218,x,k[0]]+F[226,x,k[0]]
F[218,x,k[0]] = (-F[219,x,1]*k[0]+F[219,x,k[0]])/(-1+k[0])
F[219,x,k[0]] = F[2,x]*F[220,x,k[0]]
F[220,x,k[0]] = F[221,x,k[0]]
F[221,x,k[0]] = F[222,x,k[0]]*F[64,x,k[0]]
F[222,x,k[0]] = F[223,x,k[0]]+F[68,x,k[0]]
F[223,x,k[0]] = F[224,x,k[0]]
F[224,x,k[0]] = F[225,x,k[0]]*F[64,x,k[0]]
F[225,x,k[0]] = F[223,x,k[0]]+F[70,x,k[0]]
F[226,x,k[0]] = -k[0]*(F[196,x,1]-F[196,x,k[0]])/(-1+k[0])
F[227,x,k[0]] = F[228,x,k[0]]+F[240,x,k[0]]
F[228,x,k[0]] = F[218,x,k[0]]+F[229,x,k[0]]
F[229,x,k[0]] = -k[0]*(F[230,x,1]-F[230,x,k[0]])/(-1+k[0])
F[230,x,k[0]] = F[231,x,k[0]]
F[231,x,k[0]] = F[232,x,k[0]]*F[8,x]
F[232,x,k[0]] = F[233,x,k[0]]+F[236,x,k[0]]
F[233,x,k[0]] = F[216,x,k[0]]+F[234,x,k[0]]
F[234,x,k[0]] = (-F[235,x,1]*k[0]+F[235,x,k[0]])/(-1+k[0])
F[235,x,k[0]] = F[220,x,k[0]]*F[5,x]
F[236,x,k[0]] = F[237,x,k[0]]+F[239,x,k[0]]
F[237,x,k[0]] = (-F[238,x,1]*k[0]+F[238,x,k[0]])/(-1+k[0])
F[238,x,k[0]] = F[220,x,k[0]]*F[39,x]
F[239,x,k[0]] = -k[0]*(F[218,x,1]-F[218,x,k[0]])/(-1+k[0])
F[240,x,k[0]] = F[241,x,k[0]]+F[243,x,k[0]]
F[241,x,k[0]] = (-F[242,x,1]*k[0]+F[242,x,k[0]])/(-1+k[0])
F[242,x,k[0]] = F[220,x,k[0]]*F[76,x]
F[243,x,k[0]] = -k[0]*(F[244,x,1]-F[244,x,k[0]])/(-1+k[0])
F[244,x,k[0]] = F[245,x,k[0]]
F[245,x,k[0]] = F[246,x,k[0]]*F[8,x]
F[246,x,k[0]] = F[247,x,k[0]]+F[266,x,k[0]]
F[247,x,k[0]] = F[248,x,k[0]]
F[248,x,k[0]] = F[226,x,k[0]]+F[249,x,k[0]]
F[249,x,k[0]] = F[250,x,k[0]]
F[250,x,k[0]] = F[2,x]*F[251,x,k[0]]
F[251,x,k[0]] = F[201,x,k[0]]+F[252,x,k[0]]
F[252,x,k[0]] = F[253,x,k[0]]
F[253,x,k[0]] = F[254,x,k[0]]*F[8,x]
F[254,x,k[0]] = F[255,x,k[0]]+F[258,x,k[0]]
F[255,x,k[0]] = F[256,x,k[0]]+F[257,x,k[0]]
F[256,x,k[0]] = F[114,x]*F[68,x,k[0]]
F[257,x,k[0]] = F[123,x]*F[73,x,k[0]]
F[258,x,k[0]] = F[187,x]*F[259,x,k[0]]
F[259,x,k[0]] = F[260,x,k[0]]+F[264,x,k[0]]
F[260,x,k[0]] = F[261,x]*F[68,x,k[0]]
F[261,x] = F[114,x]+F[262,x]
F[262,x] = F[190,x]+F[263,x]
F[263,x] = F[126,x]+F[15,x]
F[264,x,k[0]] = F[265,x]*F[73,x,k[0]]
F[265,x] = F[123,x]+F[14,x]
F[266,x,k[0]] = F[267,x,k[0]]
F[267,x,k[0]] = F[2,x]*F[251,x,k[0]]*F[8,x]
F[268,x] = F[269,x]+F[282,x]
F[269,x] = F[270,x]+F[278,x]
F[270,x] = F[271,x]*F[81,x]
F[271,x] = F[272,x]
F[272,x] = F[273,x]*F[8,x]
F[273,x] = F[274,x]+F[76,x]
F[274,x] = F[275,x]+F[276,x]
F[275,x] = F[135,x]
F[276,x] = F[277,x]
F[277,x] = F[14,x]^2*F[187,x]*F[2,x]*F[8,x]
F[278,x] = F[279,x]
F[279,x] = F[280,x,1]
F[280,x,k[0]] = -k[0]*(F[281,x,1]-F[281,x,k[0]])/(-1+k[0])
F[281,x,k[0]] = F[187,x]*F[2,x]*F[62,x,k[0]]*F[8,x]
F[282,x] = F[283,x]*F[81,x]
F[283,x] = F[284,x]
F[284,x] = F[285,x]*F[8,x]
F[285,x] = F[286,x]+F[288,x]
F[286,x] = F[287,x,1]
F[287,x,k[0]] = 1/(-1+k[0])*(F[196,x,k[0]]*k[0]-F[196,x,1])
F[288,x] = F[289,x]+F[292,x]
F[289,x] = F[290,x]
F[290,x] = F[291,x,1]
F[291,x,k[0]] = 1/(-1+k[0])*(F[218,x,k[0]]*k[0]-F[218,x,1])
F[292,x] = F[293,x]+F[299,x]
F[293,x] = F[294,x]
F[294,x] = F[187,x]*F[2,x]*F[295,x]*F[8,x]
F[295,x] = F[296,x]+F[298,x]
F[296,x] = F[15,x]*F[297,x]
F[297,x] = F[14,x]+F[81,x]
F[298,x] = F[128,x]*F[14,x]
F[299,x] = F[300,x]
F[300,x] = F[187,x]*F[2,x]*F[301,x]
F[301,x] = F[159,x]+F[302,x]
F[302,x] = F[170,x]+F[19,x]+F[303,x]+F[304,x]
F[303,x] = 0
F[304,x] = F[305,x]*F[8,x]
F[305,x] = F[168,x]+F[306,x]
F[306,x] = F[302,x]+F[307,x]
F[307,x] = F[308,x]
F[308,x] = F[309,x]*F[8,x]
F[309,x] = F[172,x]+F[310,x]
F[310,x] = F[307,x]
F[311,x] = F[312,x]+F[313,x]
F[312,x] = F[195,x]+F[76,x]
F[313,x] = F[271,x]+F[283,x]
F[314,x,k[0]] = F[315,x,k[0]]*F[64,x,k[0]]
F[315,x,k[0]] = F[316,x,k[0]]+F[519,x,k[0]]
F[316,x,k[0]] = F[2,x]+F[317,x,k[0]]
F[317,x,k[0]] = F[318,x,k[0]]
F[318,x,k[0]] = F[319,x,k[0]]*F[64,x,k[0]]
F[319,x,k[0]] = F[316,x,k[0]]+F[320,x,k[0]]
F[320,x,k[0]] = F[321,x,k[0]]+F[322,x,k[0]]
F[321,x,k[0]] = F[2,x]*F[70,x,k[0]]
F[322,x,k[0]] = F[323,x]+F[406,x,k[0]]
F[323,x] = F[324,x]
F[324,x] = F[325,x]*F[8,x]
F[325,x] = F[326,x]+F[381,x]
F[326,x] = F[327,x]+F[328,x]
F[327,x] = F[15,x]+F[50,x]
F[328,x] = F[329,x]+F[330,x]
F[329,x] = F[15,x]*F[2,x]
F[330,x] = F[323,x]+F[331,x]
F[331,x] = F[332,x,1]
F[332,x,k[0]] = F[333,x,k[0]]
F[333,x,k[0]] = F[334,x,k[0]]*F[8,x]
F[334,x,k[0]] = F[335,x,k[0]]+F[345,x,k[0]]
F[335,x,k[0]] = F[336,x,k[0]]+F[341,x,k[0]]
F[336,x,k[0]] = F[337,x,k[0]]+F[340,x,k[0]]
F[337,x,k[0]] = F[338,x,k[0]]
F[338,x,k[0]] = F[339,x,k[0]]*F[64,x,k[0]]
F[339,x,k[0]] = F[15,x]+F[337,x,k[0]]
F[340,x,k[0]] = -k[0]*(F[52,x,1]-F[52,x,k[0]])/(-1+k[0])
F[341,x,k[0]] = F[342,x,k[0]]+F[344,x,k[0]]
F[342,x,k[0]] = F[343,x,k[0]]
F[343,x,k[0]] = F[15,x]*F[2,x]*F[68,x,k[0]]
F[344,x,k[0]] = -k[0]*(F[332,x,1]-F[332,x,k[0]])/(-1+k[0])
F[345,x,k[0]] = F[346,x,k[0]]+F[359,x,k[0]]
F[346,x,k[0]] = F[342,x,k[0]]+F[347,x,k[0]]
F[347,x,k[0]] = -k[0]*(F[348,x,1]-F[348,x,k[0]])/(-1+k[0])
F[348,x,k[0]] = F[349,x,k[0]]
F[349,x,k[0]] = F[350,x,k[0]]*F[8,x]
F[350,x,k[0]] = F[351,x,k[0]]+F[354,x,k[0]]
F[351,x,k[0]] = F[340,x,k[0]]+F[352,x,k[0]]
F[352,x,k[0]] = F[353,x,k[0]]
F[353,x,k[0]] = F[15,x]*F[5,x]*F[68,x,k[0]]
F[354,x,k[0]] = F[355,x,k[0]]
F[355,x,k[0]] = F[356,x]*F[68,x,k[0]]
F[356,x] = F[357,x]+F[358,x]
F[357,x] = F[15,x]*F[39,x]
F[358,x] = F[14,x]*F[15,x]*F[2,x]
F[359,x,k[0]] = F[360,x,k[0]]+F[362,x,k[0]]
F[360,x,k[0]] = F[361,x,k[0]]
F[361,x,k[0]] = F[15,x]*F[68,x,k[0]]*F[76,x]
F[362,x,k[0]] = -k[0]*(F[363,x,1]-F[363,x,k[0]])/(-1+k[0])
F[363,x,k[0]] = F[364,x,k[0]]
F[364,x,k[0]] = F[365,x,k[0]]*F[8,x]
F[365,x,k[0]] = F[366,x,k[0]]+F[379,x,k[0]]
F[366,x,k[0]] = F[367,x,k[0]]
F[367,x,k[0]] = F[344,x,k[0]]+F[368,x,k[0]]
F[368,x,k[0]] = F[369,x,k[0]]
F[369,x,k[0]] = F[2,x]*F[370,x]*F[68,x,k[0]]
F[370,x] = F[15,x]+F[371,x]
F[371,x] = F[122,x]+F[19,x]+F[372,x]
F[372,x] = F[373,x]*F[8,x]
F[373,x] = F[374,x]+F[376,x]
F[374,x] = F[15,x]+F[375,x]
F[375,x] = F[121,x]
F[376,x] = F[371,x]+F[377,x]
F[377,x] = F[378,x]
F[378,x] = F[371,x]*F[8,x]
F[379,x,k[0]] = F[380,x,k[0]]
F[380,x,k[0]] = F[2,x]*F[370,x]*F[68,x,k[0]]*F[8,x]
F[381,x] = F[382,x]+F[391,x]
F[382,x] = F[329,x]+F[383,x]
F[383,x] = F[384,x]+F[390,x]
F[384,x] = F[385,x]
F[385,x] = F[386,x]*F[8,x]
F[386,x] = F[387,x]+F[389,x]
F[387,x] = F[388,x]+F[50,x]
F[388,x] = F[15,x]*F[5,x]
F[389,x] = F[356,x]
F[390,x] = F[348,x,1]
F[391,x] = F[392,x]+F[393,x]
F[392,x] = F[15,x]*F[76,x]
F[393,x] = F[394,x]+F[405,x]
F[394,x] = F[395,x]
F[395,x] = F[396,x]*F[8,x]
F[396,x] = F[397,x]+F[402,x]
F[397,x] = F[328,x]+F[398,x]
F[398,x] = F[399,x]
F[399,x] = F[187,x]*F[2,x]*F[400,x]
F[400,x] = F[15,x]+F[401,x]
F[401,x] = F[14,x]*F[15,x]
F[402,x] = F[403,x]
F[403,x] = F[15,x]*F[2,x]*F[404,x]*F[8,x]
F[404,x] = F[1,x]+F[187,x]
F[405,x] = F[363,x,1]
F[406,x,k[0]] = F[407,x,k[0]]
F[407,x,k[0]] = F[408,x,k[0]]*F[8,x]
F[408,x,k[0]] = F[409,x,k[0]]+F[507,x,k[0]]
F[409,x,k[0]] = F[410,x,k[0]]+F[492,x,k[0]]
F[410,x,k[0]] = F[337,x,k[0]]+F[411,x,k[0]]
F[411,x,k[0]] = F[317,x,k[0]]+F[412,x,k[0]]
F[412,x,k[0]] = F[413,x,1,k[0]]
F[413,x,k[0],k[1]] = F[414,x,k[0],k[1]]
F[414,x,k[0],k[1]] = F[415,x,k[0],k[1]]*F[64,x,k[1]]
F[415,x,k[0],k[1]] = F[416,x,k[0],k[1]]+F[417,x,k[0],k[1]]
F[416,x,k[0],k[1]] = F[413,x,k[0],k[1]]+F[52,x,k[0]]
F[417,x,k[0],k[1]] = F[418,x,k[0],k[1]]+F[420,x,k[0],k[1]]
F[418,x,k[0],k[1]] = F[419,x,k[0],k[1]]
F[419,x,k[0],k[1]] = F[2,x]*F[68,x,k[0]]*F[70,x,k[1]]
F[420,x,k[0],k[1]] = F[332,x,k[0]]+F[421,x,k[0],k[1]]
F[421,x,k[0],k[1]] = F[422,x,k[0],k[1]]
F[422,x,k[0],k[1]] = F[423,x,k[0],k[1]]*F[8,x]
F[423,x,k[0],k[1]] = F[424,x,k[0],k[1]]+F[434,x,k[0],k[1]]
F[424,x,k[0],k[1]] = F[425,x,k[0],k[1]]+F[430,x,k[0],k[1]]
F[425,x,k[0],k[1]] = F[426,x,k[0],k[1]]+F[429,x,k[0],k[1]]
F[426,x,k[0],k[1]] = F[427,x,k[0],k[1]]
F[427,x,k[0],k[1]] = F[428,x,k[0],k[1]]*F[64,x,k[1]]
F[428,x,k[0],k[1]] = F[337,x,k[0]]+F[426,x,k[0],k[1]]
F[429,x,k[0],k[1]] = -k[0]*(F[413,x,1,k[1]]-F[413,x,k[0],k[1]])/(-1+k[0])
F[430,x,k[0],k[1]] = F[431,x,k[0],k[1]]+F[433,x,k[0],k[1]]
F[431,x,k[0],k[1]] = F[432,x,k[0],k[1]]
F[432,x,k[0],k[1]] = F[15,x]*F[2,x]*F[68,x,k[0]]*F[68,x,k[1]]
F[433,x,k[0],k[1]] = -k[0]*(F[421,x,1,k[1]]-F[421,x,k[0],k[1]])/(-1+k[0])
F[434,x,k[0],k[1]] = F[435,x,k[0],k[1]]+F[445,x,k[0],k[1]]
F[435,x,k[0],k[1]] = F[431,x,k[0],k[1]]+F[436,x,k[0],k[1]]
F[436,x,k[0],k[1]] = -k[0]*(F[437,x,1,k[1]]-F[437,x,k[0],k[1]])/(-1+k[0])
F[437,x,k[0],k[1]] = F[438,x,k[0],k[1]]
F[438,x,k[0],k[1]] = F[439,x,k[0],k[1]]*F[8,x]
F[439,x,k[0],k[1]] = F[440,x,k[0],k[1]]+F[443,x,k[0],k[1]]
F[440,x,k[0],k[1]] = F[429,x,k[0],k[1]]+F[441,x,k[0],k[1]]
F[441,x,k[0],k[1]] = F[442,x,k[0],k[1]]
F[442,x,k[0],k[1]] = F[15,x]*F[5,x]*F[68,x,k[0]]*F[68,x,k[1]]
F[443,x,k[0],k[1]] = F[444,x,k[0],k[1]]
F[444,x,k[0],k[1]] = F[356,x]*F[68,x,k[0]]*F[68,x,k[1]]
F[445,x,k[0],k[1]] = F[446,x,k[0],k[1]]+F[448,x,k[0],k[1]]
F[446,x,k[0],k[1]] = F[447,x,k[0],k[1]]
F[447,x,k[0],k[1]] = F[15,x]*F[68,x,k[0]]*F[68,x,k[1]]*F[76,x]
F[448,x,k[0],k[1]] = -k[0]*(F[449,x,1,k[1]]-F[449,x,k[0],k[1]])/(-1+k[0])
F[449,x,k[0],k[1]] = F[450,x,k[0],k[1]]
F[450,x,k[0],k[1]] = F[451,x,k[0],k[1]]*F[8,x]
F[451,x,k[0],k[1]] = F[452,x,k[0],k[1]]+F[505,x,k[0],k[1]]
F[452,x,k[0],k[1]] = F[453,x,k[0],k[1]]
F[453,x,k[0],k[1]] = F[433,x,k[0],k[1]]+F[454,x,k[0],k[1]]
F[454,x,k[0],k[1]] = F[455,x,k[0],k[1]]
F[456,x,k[0],k[1]] = F[455,x,k[0],k[1]]+F[504,x,k[0],k[1]]
F[456,x,k[0],k[1]] = (F[457,x,k[0]]*k[1]-F[457,x,k[1]]*k[0])/(-k[1]+k[0])
F[457,x,k[0]] = F[458,x,k[0]]+F[461,x,k[0]]
F[458,x,k[0]] = F[459,x,k[0]]
F[459,x,k[0]] = F[2,x]*F[370,x]*F[460,x,k[0]]
F[460,x,k[0]] = F[74,x,k[0]]
F[462,x,k[0]] = F[461,x,k[0]]+F[502,x,k[0]]
F[463,x,k[0]] = F[462,x,k[0]]+F[466,x,k[0]]
F[464,x,k[0]] = (-F[463,x,1]*k[0]+F[463,x,k[0]])/(-1+k[0])
F[464,x,k[0]] = F[465,x,k[0]]+F[480,x,k[0]]
F[465,x,k[0]] = (-F[466,x,1]*k[0]+F[466,x,k[0]])/(-1+k[0])
F[466,x,k[0]] = F[467,x,k[0]]+F[469,x,k[0]]
F[467,x,k[0]] = F[468,x,k[0]]
F[468,x,k[0]] = F[337,x,k[0]]*F[64,x,k[0]]
F[469,x,k[0]] = F[470,x,k[0]]+F[475,x,k[0]]
F[470,x,k[0]] = F[471,x,k[0]]
F[471,x,k[0]] = F[472,x,k[0]]*F[64,x,k[0]]
F[472,x,k[0]] = F[317,x,k[0]]+F[473,x,k[0]]
F[473,x,k[0]] = F[406,x,k[0]]+F[474,x,k[0]]
F[474,x,k[0]] = F[2,x]*F[68,x,k[0]]
F[475,x,k[0]] = F[476,x,k[0]]
F[476,x,k[0]] = F[477,x,k[0]]*F[64,x,k[0]]
F[477,x,k[0]] = F[412,x,k[0]]+F[478,x,k[0]]
F[478,x,k[0]] = F[342,x,k[0]]+F[479,x,k[0]]
F[479,x,k[0]] = F[421,x,1,k[0]]
F[481,x,k[0]] = F[480,x,k[0]]+F[500,x,k[0]]
F[482,x,k[0]] = F[481,x,k[0]]+F[498,x,k[0]]
F[483,x,k[0]] = F[482,x,k[0]]*F[8,x]
F[483,x,k[0]] = F[484,x,k[0]]
F[484,x,k[0]] = (-F[485,x,1]*k[0]+F[485,x,k[0]])/(-1+k[0])
F[486,x,k[0]] = (-F[485,x,1]*k[0]+F[485,x,k[0]])/(-1+k[0])
F[487,x,k[0]] = F[486,x,k[0]]+F[488,x,k[0]]
F[487,x,k[0]] = -k[0]*(F[488,x,1]-F[488,x,k[0]])/(-1+k[0])
F[488,x,k[0]] = F[489,x,k[0]]
F[489,x,k[0]] = F[490,x,k[0]]*F[8,x]
F[490,x,k[0]] = F[491,x,k[0]]+F[496,x,k[0]]
F[491,x,k[0]] = F[492,x,k[0]]+F[494,x,k[0]]
F[492,x,k[0]] = F[342,x,k[0]]+F[493,x,k[0]]
F[493,x,k[0]] = F[406,x,k[0]]+F[479,x,k[0]]
F[494,x,k[0]] = F[495,x,k[0]]
F[495,x,k[0]] = F[187,x]*F[2,x]*F[400,x]*F[68,x,k[0]]
F[496,x,k[0]] = F[497,x,k[0]]
F[497,x,k[0]] = F[15,x]*F[2,x]*F[404,x]*F[68,x,k[0]]*F[8,x]
F[498,x,k[0]] = F[499,x,k[0]]
F[499,x,k[0]] = F[15,x]^2*F[2,x]*F[404,x]*F[68,x,k[0]]*F[8,x]
F[500,x,k[0]] = F[501,x,k[0]]
F[501,x,k[0]] = F[15,x]*F[187,x]*F[2,x]*F[400,x]*F[68,x,k[0]]
F[502,x,k[0]] = F[503,x,k[0]]
F[503,x,k[0]] = F[15,x]*F[2,x]*F[460,x,k[0]]
F[504,x,k[0],k[1]] = (F[461,x,k[0]]*k[1]-F[461,x,k[1]]*k[0])/(-k[1]+k[0])
F[505,x,k[0],k[1]] = F[506,x,k[0],k[1]]
F[506,x,k[0],k[1]] = F[2,x]*F[370,x]*F[68,x,k[0]]*F[68,x,k[1]]*F[8,x]
F[507,x,k[0]] = F[508,x,k[0]]+F[515,x,k[0]]
F[508,x,k[0]] = F[342,x,k[0]]+F[509,x,k[0]]
F[509,x,k[0]] = F[510,x,k[0]]+F[514,x,k[0]]
F[510,x,k[0]] = F[511,x,k[0]]
F[511,x,k[0]] = F[512,x,k[0]]*F[8,x]
F[512,x,k[0]] = F[354,x,k[0]]+F[513,x,k[0]]
F[513,x,k[0]] = F[352,x,k[0]]+F[411,x,k[0]]
F[514,x,k[0]] = F[437,x,1,k[0]]
F[515,x,k[0]] = F[360,x,k[0]]+F[516,x,k[0]]
F[516,x,k[0]] = F[517,x,k[0]]+F[518,x,k[0]]
F[517,x,k[0]] = F[488,x,k[0]]
F[518,x,k[0]] = F[449,x,1,k[0]]
F[519,x,k[0]] = F[52,x,k[0]]+F[520,x,k[0]]
F[520,x,k[0]] = F[521,x,k[0],1]
F[521,x,k[0],k[1]] = F[413,x,k[0],k[0]*k[1]]
F[522,x,k[0]] = F[316,x,k[0]]*F[64,x,k[0]]
F[523,x] = F[149,x]+F[524,x]
F[524,x] = F[2,x]*F[8,x]
F[525,x] = F[311,x]+F[526,x]
F[526,x] = F[527,x]+F[529,x]
F[527,x] = F[2,x]*F[528,x]
F[528,x] = F[1,x]+F[81,x]
F[529,x] = F[136,x]+F[40,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{4}\! \left(x \right) = F_{39}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right) F_{9}\! \left(x \right)
F_{8}\! \left(x \right) = x
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{18}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{8}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{14}\! \left(x \right) F_{8}\! \left(x \right)
F_{17}\! \left(x \right) = F_{11}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)+F_{32}\! \left(x \right)
F_{19}\! \left(x \right) = 0
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{8}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{31}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{6}\! \left(x \right)
F_{23}\! \left(x \right) = F_{19}\! \left(x \right)+F_{24}\! \left(x \right)+F_{25}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right) F_{8}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{15}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{8}\! \left(x \right)
F_{30}\! \left(x \right) = F_{28}\! \left(x \right)+F_{6}\! \left(x \right)
F_{31}\! \left(x \right) = F_{18}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{8}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{11}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{8}\! \left(x \right)
F_{37}\! \left(x \right) = F_{30}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{35}\! \left(x \right)
F_{39}\! \left(x \right) = F_{2}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right) F_{8}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{525}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{523}\! \left(x \right)
F_{44}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right) F_{8}\! \left(x \right)
F_{47}\! \left(x \right) = F_{44}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{312}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{135}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x , 1\right)
F_{52}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{522}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{314}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{58}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{54}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{59}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{52}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right) F_{65}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = y x
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_{1}\! \left(x \right)+F_{64}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{68}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{64}\! \left(x , y\right) F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{68}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{72}\! \left(x , y\right)+F_{74}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{64}\! \left(x , y\right) F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{64}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{64}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{196}\! \left(x , y\right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right) F_{8}\! \left(x \right)
F_{78}\! \left(x \right) = F_{133}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{43}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{11}\! \left(x \right)
F_{82}\! \left(x \right) = F_{113}\! \left(x \right)+F_{19}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{8}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{80}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{93}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{8}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{92}\! \left(x \right)
F_{89}\! \left(x \right) = F_{81}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{8}\! \left(x \right) F_{89}\! \left(x \right)
F_{92}\! \left(x \right) = F_{86}\! \left(x \right)
F_{93}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{106}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{8}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{105}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{82}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = 2 F_{19}\! \left(x \right)+F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{8}\! \left(x \right) F_{96}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{8}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{90}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{8}\! \left(x \right)
F_{104}\! \left(x \right) = F_{102}\! \left(x \right)+F_{82}\! \left(x \right)
F_{105}\! \left(x \right) = F_{93}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{8}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{86}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{8}\! \left(x \right)
F_{111}\! \left(x \right) = F_{104}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{109}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{8}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{119}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{8}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{118}\! \left(x \right)+F_{19}\! \left(x \right)
F_{117}\! \left(x \right) = x^{2}
F_{118}\! \left(x \right) = x^{2}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{124}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{122}\! \left(x \right)+F_{19}\! \left(x \right)
F_{121}\! \left(x \right) = F_{15}\! \left(x \right) F_{8}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{8}\! \left(x \right)
F_{123}\! \left(x \right) = F_{120}\! \left(x \right)+F_{8}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{130}\! \left(x \right)+F_{132}\! \left(x \right)+F_{19}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right) F_{8}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{129}\! \left(x \right)+F_{19}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{8}\! \left(x \right)
F_{128}\! \left(x \right) = F_{126}\! \left(x \right)+F_{8}\! \left(x \right)
F_{129}\! \left(x \right) = F_{15}\! \left(x \right) F_{8}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{8}\! \left(x \right)
F_{131}\! \left(x \right) = F_{116}\! \left(x \right)+F_{124}\! \left(x \right)
F_{132}\! \left(x \right) = F_{120}\! \left(x \right) F_{8}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{311}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{136}\! \left(x \right)
F_{135}\! \left(x \right) = F_{2}\! \left(x \right) F_{81}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{8}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{153}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{144}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{143}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x , 1\right)
F_{142}\! \left(x , y\right) = -\frac{-F_{61}\! \left(x , y\right) y +F_{61}\! \left(x , 1\right)}{-1+y}
F_{143}\! \left(x \right) = F_{45}\! \left(x \right) F_{81}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{148}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x , 1\right)
F_{146}\! \left(x , y\right) = -\frac{-F_{147}\! \left(x , y\right) y +F_{147}\! \left(x , 1\right)}{-1+y}
F_{147}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{62}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{81}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{8}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x , 1\right)
F_{152}\! \left(x , y\right) = -\frac{-F_{54}\! \left(x , y\right) y +F_{54}\! \left(x , 1\right)}{-1+y}
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{179}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{174}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{2}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{173}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{81}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{81}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{165}\! \left(x \right)+F_{19}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{8}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{163}\! \left(x \right)
F_{162}\! \left(x \right) = F_{8}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{160}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{8}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{168}\! \left(x \right)
F_{167}\! \left(x \right) = F_{164}\! \left(x \right)+F_{81}\! \left(x \right)
F_{168}\! \left(x \right) = F_{159}\! \left(x \right)+F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{8}\! \left(x \right)
F_{171}\! \left(x \right) = F_{163}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{169}\! \left(x \right)
F_{173}\! \left(x \right) = F_{81} \left(x \right)^{2}
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{178}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x , 1\right)
F_{176}\! \left(x , y\right) = -\frac{-F_{177}\! \left(x , y\right) y +F_{177}\! \left(x , 1\right)}{-1+y}
F_{177}\! \left(x , y\right) = F_{40}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{178}\! \left(x \right) = F_{136}\! \left(x \right) F_{81}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{268}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{194}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{183}\! \left(x \right)
F_{182}\! \left(x \right) = F_{76}\! \left(x \right) F_{81}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x , 1\right)
F_{185}\! \left(x , y\right) = -\frac{y \left(F_{186}\! \left(x , 1\right)-F_{186}\! \left(x , y\right)\right)}{-1+y}
F_{186}\! \left(x , y\right) = F_{187}\! \left(x \right) F_{2}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{8}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{191}\! \left(x \right)
F_{190}\! \left(x \right) = F_{1}\! \left(x \right)+F_{8}\! \left(x \right)
F_{191}\! \left(x \right) = F_{187}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{187}\! \left(x \right) F_{8}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{81}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x , 1\right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{198}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{227}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{200}\! \left(x , y\right)+F_{217}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x , y\right)+F_{216}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{202}\! \left(x , y\right)+F_{207}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{203}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{203}\! \left(x , y\right) = F_{204}\! \left(x , y\right)+F_{205}\! \left(x , y\right)
F_{204}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{205}\! \left(x , y\right) = F_{206}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = y F_{164}\! \left(x \right)
F_{207}\! \left(x , y\right) = F_{208}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{209}\! \left(x , y\right)+F_{210}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = F_{206}\! \left(x , y\right)+F_{81}\! \left(x \right)
F_{210}\! \left(x , y\right) = F_{201}\! \left(x , y\right)+F_{211}\! \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_{64}\! \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_{206}\! \left(x , y\right)
F_{215}\! \left(x , y\right) = F_{211}\! \left(x , y\right)
F_{216}\! \left(x , y\right) = -\frac{y \left(F_{54}\! \left(x , 1\right)-F_{54}\! \left(x , y\right)\right)}{-1+y}
F_{217}\! \left(x , y\right) = F_{218}\! \left(x , y\right)+F_{226}\! \left(x , y\right)
F_{218}\! \left(x , y\right) = -\frac{F_{219}\! \left(x , 1\right) y -F_{219}\! \left(x , y\right)}{-1+y}
F_{219}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{220}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{221}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{222}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = F_{223}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{223}\! \left(x , y\right) = F_{224}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = F_{225}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{225}\! \left(x , y\right) = F_{223}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = -\frac{y \left(F_{196}\! \left(x , 1\right)-F_{196}\! \left(x , y\right)\right)}{-1+y}
F_{227}\! \left(x , y\right) = F_{228}\! \left(x , y\right)+F_{240}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{218}\! \left(x , y\right)+F_{229}\! \left(x , y\right)
F_{229}\! \left(x , y\right) = -\frac{y \left(F_{230}\! \left(x , 1\right)-F_{230}\! \left(x , y\right)\right)}{-1+y}
F_{230}\! \left(x , y\right) = F_{231}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{232}\! \left(x , y\right) = F_{233}\! \left(x , y\right)+F_{236}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = F_{216}\! \left(x , y\right)+F_{234}\! \left(x , y\right)
F_{234}\! \left(x , y\right) = -\frac{F_{235}\! \left(x , 1\right) y -F_{235}\! \left(x , y\right)}{-1+y}
F_{235}\! \left(x , y\right) = F_{220}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{236}\! \left(x , y\right) = F_{237}\! \left(x , y\right)+F_{239}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = -\frac{F_{238}\! \left(x , 1\right) y -F_{238}\! \left(x , y\right)}{-1+y}
F_{238}\! \left(x , y\right) = F_{220}\! \left(x , y\right) F_{39}\! \left(x \right)
F_{239}\! \left(x , y\right) = -\frac{y \left(F_{218}\! \left(x , 1\right)-F_{218}\! \left(x , y\right)\right)}{-1+y}
F_{240}\! \left(x , y\right) = F_{241}\! \left(x , y\right)+F_{243}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = -\frac{F_{242}\! \left(x , 1\right) y -F_{242}\! \left(x , y\right)}{-1+y}
F_{242}\! \left(x , y\right) = F_{220}\! \left(x , y\right) F_{76}\! \left(x \right)
F_{243}\! \left(x , y\right) = -\frac{y \left(F_{244}\! \left(x , 1\right)-F_{244}\! \left(x , y\right)\right)}{-1+y}
F_{244}\! \left(x , y\right) = F_{245}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{246}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{246}\! \left(x , y\right) = F_{247}\! \left(x , y\right)+F_{266}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{248}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{226}\! \left(x , y\right)+F_{249}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{250}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{251}\! \left(x , y\right)
F_{251}\! \left(x , y\right) = F_{201}\! \left(x , y\right)+F_{252}\! \left(x , y\right)
F_{252}\! \left(x , y\right) = F_{253}\! \left(x , y\right)
F_{253}\! \left(x , y\right) = F_{254}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{254}\! \left(x , y\right) = F_{255}\! \left(x , y\right)+F_{258}\! \left(x , y\right)
F_{255}\! \left(x , y\right) = F_{256}\! \left(x , y\right)+F_{257}\! \left(x , y\right)
F_{256}\! \left(x , y\right) = F_{114}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{257}\! \left(x , y\right) = F_{123}\! \left(x \right) F_{73}\! \left(x , y\right)
F_{258}\! \left(x , y\right) = F_{187}\! \left(x \right) F_{259}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = F_{260}\! \left(x , y\right)+F_{264}\! \left(x , y\right)
F_{260}\! \left(x , y\right) = F_{261}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{261}\! \left(x \right) = F_{114}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{190}\! \left(x \right)+F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{126}\! \left(x \right)+F_{15}\! \left(x \right)
F_{264}\! \left(x , y\right) = F_{265}\! \left(x \right) F_{73}\! \left(x , y\right)
F_{265}\! \left(x \right) = F_{123}\! \left(x \right)+F_{14}\! \left(x \right)
F_{266}\! \left(x , y\right) = F_{267}\! \left(x , y\right)
F_{267}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{251}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{282}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{278}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right) F_{81}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right) F_{8}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{76}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{276}\! \left(x \right)
F_{275}\! \left(x \right) = F_{135}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{14} \left(x \right)^{2} F_{187}\! \left(x \right) F_{2}\! \left(x \right) F_{8}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x , 1\right)
F_{280}\! \left(x , y\right) = -\frac{y \left(F_{281}\! \left(x , 1\right)-F_{281}\! \left(x , y\right)\right)}{-1+y}
F_{281}\! \left(x , y\right) = F_{187}\! \left(x \right) F_{2}\! \left(x \right) F_{62}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right) F_{81}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right) F_{8}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)+F_{288}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x , 1\right)
F_{287}\! \left(x , y\right) = -\frac{-F_{196}\! \left(x , y\right) y +F_{196}\! \left(x , 1\right)}{-1+y}
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{292}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x , 1\right)
F_{291}\! \left(x , y\right) = -\frac{-y F_{218}\! \left(x , y\right)+F_{218}\! \left(x , 1\right)}{-1+y}
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{299}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{187}\! \left(x \right) F_{2}\! \left(x \right) F_{295}\! \left(x \right) F_{8}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{298}\! \left(x \right)
F_{296}\! \left(x \right) = F_{15}\! \left(x \right) F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{14}\! \left(x \right)+F_{81}\! \left(x \right)
F_{298}\! \left(x \right) = F_{128}\! \left(x \right) F_{14}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{187}\! \left(x \right) F_{2}\! \left(x \right) F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{159}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{170}\! \left(x \right)+F_{19}\! \left(x \right)+F_{303}\! \left(x \right)+F_{304}\! \left(x \right)
F_{303}\! \left(x \right) = 0
F_{304}\! \left(x \right) = F_{305}\! \left(x \right) F_{8}\! \left(x \right)
F_{305}\! \left(x \right) = F_{168}\! \left(x \right)+F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{302}\! \left(x \right)+F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right) F_{8}\! \left(x \right)
F_{309}\! \left(x \right) = F_{172}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{307}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{313}\! \left(x \right)
F_{312}\! \left(x \right) = F_{195}\! \left(x \right)+F_{76}\! \left(x \right)
F_{313}\! \left(x \right) = F_{271}\! \left(x \right)+F_{283}\! \left(x \right)
F_{314}\! \left(x , y\right) = F_{315}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{315}\! \left(x , y\right) = F_{316}\! \left(x , y\right)+F_{519}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{317}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = F_{318}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{319}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{316}\! \left(x , y\right)+F_{320}\! \left(x , y\right)
F_{320}\! \left(x , y\right) = F_{321}\! \left(x , y\right)+F_{322}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{70}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = F_{323}\! \left(x \right)+F_{406}\! \left(x , y\right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right) F_{8}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)+F_{381}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{328}\! \left(x \right)
F_{327}\! \left(x \right) = F_{15}\! \left(x \right)+F_{50}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)+F_{330}\! \left(x \right)
F_{329}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{330}\! \left(x \right) = F_{323}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x , 1\right)
F_{332}\! \left(x , y\right) = F_{333}\! \left(x , y\right)
F_{333}\! \left(x , y\right) = F_{334}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{334}\! \left(x , y\right) = F_{335}\! \left(x , y\right)+F_{345}\! \left(x , y\right)
F_{335}\! \left(x , y\right) = F_{336}\! \left(x , y\right)+F_{341}\! \left(x , y\right)
F_{336}\! \left(x , y\right) = F_{337}\! \left(x , y\right)+F_{340}\! \left(x , y\right)
F_{337}\! \left(x , y\right) = F_{338}\! \left(x , y\right)
F_{338}\! \left(x , y\right) = F_{339}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{339}\! \left(x , y\right) = F_{15}\! \left(x \right)+F_{337}\! \left(x , y\right)
F_{340}\! \left(x , y\right) = -\frac{y \left(F_{52}\! \left(x , 1\right)-F_{52}\! \left(x , y\right)\right)}{-1+y}
F_{341}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{344}\! \left(x , y\right)
F_{342}\! \left(x , y\right) = F_{343}\! \left(x , y\right)
F_{343}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{344}\! \left(x , y\right) = -\frac{y \left(F_{332}\! \left(x , 1\right)-F_{332}\! \left(x , y\right)\right)}{-1+y}
F_{345}\! \left(x , y\right) = F_{346}\! \left(x , y\right)+F_{359}\! \left(x , y\right)
F_{346}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{347}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = -\frac{y \left(F_{348}\! \left(x , 1\right)-F_{348}\! \left(x , y\right)\right)}{-1+y}
F_{348}\! \left(x , y\right) = F_{349}\! \left(x , y\right)
F_{349}\! \left(x , y\right) = F_{350}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{350}\! \left(x , y\right) = F_{351}\! \left(x , y\right)+F_{354}\! \left(x , y\right)
F_{351}\! \left(x , y\right) = F_{340}\! \left(x , y\right)+F_{352}\! \left(x , y\right)
F_{352}\! \left(x , y\right) = F_{353}\! \left(x , y\right)
F_{353}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{5}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{354}\! \left(x , y\right) = F_{355}\! \left(x , y\right)
F_{355}\! \left(x , y\right) = F_{356}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)+F_{358}\! \left(x \right)
F_{357}\! \left(x \right) = F_{15}\! \left(x \right) F_{39}\! \left(x \right)
F_{358}\! \left(x \right) = F_{14}\! \left(x \right) F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{359}\! \left(x , y\right) = F_{360}\! \left(x , y\right)+F_{362}\! \left(x , y\right)
F_{360}\! \left(x , y\right) = F_{361}\! \left(x , y\right)
F_{361}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{68}\! \left(x , y\right) F_{76}\! \left(x \right)
F_{362}\! \left(x , y\right) = -\frac{y \left(F_{363}\! \left(x , 1\right)-F_{363}\! \left(x , y\right)\right)}{-1+y}
F_{363}\! \left(x , y\right) = F_{364}\! \left(x , y\right)
F_{364}\! \left(x , y\right) = F_{365}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{365}\! \left(x , y\right) = F_{366}\! \left(x , y\right)+F_{379}\! \left(x , y\right)
F_{366}\! \left(x , y\right) = F_{367}\! \left(x , y\right)
F_{367}\! \left(x , y\right) = F_{344}\! \left(x , y\right)+F_{368}\! \left(x , y\right)
F_{368}\! \left(x , y\right) = F_{369}\! \left(x , y\right)
F_{369}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{370}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{370}\! \left(x \right) = F_{15}\! \left(x \right)+F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{122}\! \left(x \right)+F_{19}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right) F_{8}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{376}\! \left(x \right)
F_{374}\! \left(x \right) = F_{15}\! \left(x \right)+F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{121}\! \left(x \right)
F_{376}\! \left(x \right) = F_{371}\! \left(x \right)+F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{371}\! \left(x \right) F_{8}\! \left(x \right)
F_{379}\! \left(x , y\right) = F_{380}\! \left(x , y\right)
F_{380}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{370}\! \left(x \right) F_{68}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)+F_{391}\! \left(x \right)
F_{382}\! \left(x \right) = F_{329}\! \left(x \right)+F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{384}\! \left(x \right)+F_{390}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{386}\! \left(x \right) F_{8}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)+F_{389}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)+F_{50}\! \left(x \right)
F_{388}\! \left(x \right) = F_{15}\! \left(x \right) F_{5}\! \left(x \right)
F_{389}\! \left(x \right) = F_{356}\! \left(x \right)
F_{390}\! \left(x \right) = F_{348}\! \left(x , 1\right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)+F_{393}\! \left(x \right)
F_{392}\! \left(x \right) = F_{15}\! \left(x \right) F_{76}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{405}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right) F_{8}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)+F_{402}\! \left(x \right)
F_{397}\! \left(x \right) = F_{328}\! \left(x \right)+F_{398}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right)
F_{399}\! \left(x \right) = F_{187}\! \left(x \right) F_{2}\! \left(x \right) F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{15}\! \left(x \right)+F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = F_{14}\! \left(x \right) F_{15}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{404}\! \left(x \right) F_{8}\! \left(x \right)
F_{404}\! \left(x \right) = F_{1}\! \left(x \right)+F_{187}\! \left(x \right)
F_{405}\! \left(x \right) = F_{363}\! \left(x , 1\right)
F_{406}\! \left(x , y\right) = F_{407}\! \left(x , y\right)
F_{407}\! \left(x , y\right) = F_{408}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{408}\! \left(x , y\right) = F_{409}\! \left(x , y\right)+F_{507}\! \left(x , y\right)
F_{409}\! \left(x , y\right) = F_{410}\! \left(x , y\right)+F_{492}\! \left(x , y\right)
F_{410}\! \left(x , y\right) = F_{337}\! \left(x , y\right)+F_{411}\! \left(x , y\right)
F_{411}\! \left(x , y\right) = F_{317}\! \left(x , y\right)+F_{412}\! \left(x , y\right)
F_{412}\! \left(x , y\right) = F_{413}\! \left(x , 1, y\right)
F_{413}\! \left(x , y , z\right) = F_{414}\! \left(x , y , z\right)
F_{414}\! \left(x , y , z\right) = F_{415}\! \left(x , y , z\right) F_{64}\! \left(x , z\right)
F_{415}\! \left(x , y , z\right) = F_{416}\! \left(x , y , z\right)+F_{417}\! \left(x , y , z\right)
F_{416}\! \left(x , y , z\right) = F_{413}\! \left(x , y , z\right)+F_{52}\! \left(x , y\right)
F_{417}\! \left(x , y , z\right) = F_{418}\! \left(x , y , z\right)+F_{420}\! \left(x , y , z\right)
F_{418}\! \left(x , y , z\right) = F_{419}\! \left(x , y , z\right)
F_{419}\! \left(x , y , z\right) = F_{2}\! \left(x \right) F_{68}\! \left(x , y\right) F_{70}\! \left(x , z\right)
F_{420}\! \left(x , y , z\right) = F_{332}\! \left(x , y\right)+F_{421}\! \left(x , y , z\right)
F_{421}\! \left(x , y , z\right) = F_{422}\! \left(x , y , z\right)
F_{422}\! \left(x , y , z\right) = F_{423}\! \left(x , y , z\right) F_{8}\! \left(x \right)
F_{423}\! \left(x , y , z\right) = F_{424}\! \left(x , y , z\right)+F_{434}\! \left(x , y , z\right)
F_{424}\! \left(x , y , z\right) = F_{425}\! \left(x , y , z\right)+F_{430}\! \left(x , y , z\right)
F_{425}\! \left(x , y , z\right) = F_{426}\! \left(x , y , z\right)+F_{429}\! \left(x , y , z\right)
F_{426}\! \left(x , y , z\right) = F_{427}\! \left(x , y , z\right)
F_{427}\! \left(x , y , z\right) = F_{428}\! \left(x , y , z\right) F_{64}\! \left(x , z\right)
F_{428}\! \left(x , y , z\right) = F_{337}\! \left(x , y\right)+F_{426}\! \left(x , y , z\right)
F_{429}\! \left(x , y , z\right) = -\frac{y \left(F_{413}\! \left(x , 1, z\right)-F_{413}\! \left(x , y , z\right)\right)}{-1+y}
F_{430}\! \left(x , y , z\right) = F_{431}\! \left(x , y , z\right)+F_{433}\! \left(x , y , z\right)
F_{431}\! \left(x , y , z\right) = F_{432}\! \left(x , y , z\right)
F_{432}\! \left(x , y , z\right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{68}\! \left(x , y\right) F_{68}\! \left(x , z\right)
F_{433}\! \left(x , y , z\right) = -\frac{y \left(F_{421}\! \left(x , 1, z\right)-F_{421}\! \left(x , y , z\right)\right)}{-1+y}
F_{434}\! \left(x , y , z\right) = F_{435}\! \left(x , y , z\right)+F_{445}\! \left(x , y , z\right)
F_{435}\! \left(x , y , z\right) = F_{431}\! \left(x , y , z\right)+F_{436}\! \left(x , y , z\right)
F_{436}\! \left(x , y , z\right) = -\frac{y \left(F_{437}\! \left(x , 1, z\right)-F_{437}\! \left(x , y , z\right)\right)}{-1+y}
F_{437}\! \left(x , y , z\right) = F_{438}\! \left(x , y , z\right)
F_{438}\! \left(x , y , z\right) = F_{439}\! \left(x , y , z\right) F_{8}\! \left(x \right)
F_{439}\! \left(x , y , z\right) = F_{440}\! \left(x , y , z\right)+F_{443}\! \left(x , y , z\right)
F_{440}\! \left(x , y , z\right) = F_{429}\! \left(x , y , z\right)+F_{441}\! \left(x , y , z\right)
F_{441}\! \left(x , y , z\right) = F_{442}\! \left(x , y , z\right)
F_{442}\! \left(x , y , z\right) = F_{15}\! \left(x \right) F_{5}\! \left(x \right) F_{68}\! \left(x , y\right) F_{68}\! \left(x , z\right)
F_{443}\! \left(x , y , z\right) = F_{444}\! \left(x , y , z\right)
F_{444}\! \left(x , y , z\right) = F_{356}\! \left(x \right) F_{68}\! \left(x , y\right) F_{68}\! \left(x , z\right)
F_{445}\! \left(x , y , z\right) = F_{446}\! \left(x , y , z\right)+F_{448}\! \left(x , y , z\right)
F_{446}\! \left(x , y , z\right) = F_{447}\! \left(x , y , z\right)
F_{447}\! \left(x , y , z\right) = F_{15}\! \left(x \right) F_{68}\! \left(x , y\right) F_{68}\! \left(x , z\right) F_{76}\! \left(x \right)
F_{448}\! \left(x , y , z\right) = -\frac{y \left(F_{449}\! \left(x , 1, z\right)-F_{449}\! \left(x , y , z\right)\right)}{-1+y}
F_{449}\! \left(x , y , z\right) = F_{450}\! \left(x , y , z\right)
F_{450}\! \left(x , y , z\right) = F_{451}\! \left(x , y , z\right) F_{8}\! \left(x \right)
F_{451}\! \left(x , y , z\right) = F_{452}\! \left(x , y , z\right)+F_{505}\! \left(x , y , z\right)
F_{452}\! \left(x , y , z\right) = F_{453}\! \left(x , y , z\right)
F_{453}\! \left(x , y , z\right) = F_{433}\! \left(x , y , z\right)+F_{454}\! \left(x , y , z\right)
F_{454}\! \left(x , y , z\right) = F_{455}\! \left(x , y , z\right)
F_{456}\! \left(x , y , z\right) = F_{455}\! \left(x , y , z\right)+F_{504}\! \left(x , y , z\right)
F_{456}\! \left(x , y , z\right) = \frac{F_{457}\! \left(x , y\right) z -F_{457}\! \left(x , z\right) y}{-z +y}
F_{457}\! \left(x , y\right) = F_{458}\! \left(x , y\right)+F_{461}\! \left(x , y\right)
F_{458}\! \left(x , y\right) = F_{459}\! \left(x , y\right)
F_{459}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{370}\! \left(x \right) F_{460}\! \left(x , y\right)
F_{460}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{462}\! \left(x , y\right) = F_{461}\! \left(x , y\right)+F_{502}\! \left(x , y\right)
F_{463}\! \left(x , y\right) = F_{462}\! \left(x , y\right)+F_{466}\! \left(x , y\right)
F_{464}\! \left(x , y\right) = -\frac{F_{463}\! \left(x , 1\right) y -F_{463}\! \left(x , y\right)}{-1+y}
F_{464}\! \left(x , y\right) = F_{465}\! \left(x , y\right)+F_{480}\! \left(x , y\right)
F_{465}\! \left(x , y\right) = -\frac{F_{466}\! \left(x , 1\right) y -F_{466}\! \left(x , y\right)}{-1+y}
F_{466}\! \left(x , y\right) = F_{467}\! \left(x , y\right)+F_{469}\! \left(x , y\right)
F_{467}\! \left(x , y\right) = F_{468}\! \left(x , y\right)
F_{468}\! \left(x , y\right) = F_{337}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{469}\! \left(x , y\right) = F_{470}\! \left(x , y\right)+F_{475}\! \left(x , y\right)
F_{470}\! \left(x , y\right) = F_{471}\! \left(x , y\right)
F_{471}\! \left(x , y\right) = F_{472}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{472}\! \left(x , y\right) = F_{317}\! \left(x , y\right)+F_{473}\! \left(x , y\right)
F_{473}\! \left(x , y\right) = F_{406}\! \left(x , y\right)+F_{474}\! \left(x , y\right)
F_{474}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{475}\! \left(x , y\right) = F_{476}\! \left(x , y\right)
F_{476}\! \left(x , y\right) = F_{477}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{477}\! \left(x , y\right) = F_{412}\! \left(x , y\right)+F_{478}\! \left(x , y\right)
F_{478}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{479}\! \left(x , y\right)
F_{479}\! \left(x , y\right) = F_{421}\! \left(x , 1, y\right)
F_{481}\! \left(x , y\right) = F_{480}\! \left(x , y\right)+F_{500}\! \left(x , y\right)
F_{482}\! \left(x , y\right) = F_{481}\! \left(x , y\right)+F_{498}\! \left(x , y\right)
F_{483}\! \left(x , y\right) = F_{482}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{483}\! \left(x , y\right) = F_{484}\! \left(x , y\right)
F_{484}\! \left(x , y\right) = -\frac{F_{485}\! \left(x , 1\right) y -F_{485}\! \left(x , y\right)}{-1+y}
F_{486}\! \left(x , y\right) = -\frac{F_{485}\! \left(x , 1\right) y -F_{485}\! \left(x , y\right)}{-1+y}
F_{487}\! \left(x , y\right) = F_{486}\! \left(x , y\right)+F_{488}\! \left(x , y\right)
F_{487}\! \left(x , y\right) = -\frac{y \left(F_{488}\! \left(x , 1\right)-F_{488}\! \left(x , y\right)\right)}{-1+y}
F_{488}\! \left(x , y\right) = F_{489}\! \left(x , y\right)
F_{489}\! \left(x , y\right) = F_{490}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{490}\! \left(x , y\right) = F_{491}\! \left(x , y\right)+F_{496}\! \left(x , y\right)
F_{491}\! \left(x , y\right) = F_{492}\! \left(x , y\right)+F_{494}\! \left(x , y\right)
F_{492}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{493}\! \left(x , y\right)
F_{493}\! \left(x , y\right) = F_{406}\! \left(x , y\right)+F_{479}\! \left(x , y\right)
F_{494}\! \left(x , y\right) = F_{495}\! \left(x , y\right)
F_{495}\! \left(x , y\right) = F_{187}\! \left(x \right) F_{2}\! \left(x \right) F_{400}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{496}\! \left(x , y\right) = F_{497}\! \left(x , y\right)
F_{497}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{404}\! \left(x \right) F_{68}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{498}\! \left(x , y\right) = F_{499}\! \left(x , y\right)
F_{499}\! \left(x , y\right) = F_{15} \left(x \right)^{2} F_{2}\! \left(x \right) F_{404}\! \left(x \right) F_{68}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{500}\! \left(x , y\right) = F_{501}\! \left(x , y\right)
F_{501}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{187}\! \left(x \right) F_{2}\! \left(x \right) F_{400}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{502}\! \left(x , y\right) = F_{503}\! \left(x , y\right)
F_{503}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right) F_{460}\! \left(x , y\right)
F_{504}\! \left(x , y , z\right) = \frac{F_{461}\! \left(x , y\right) z -F_{461}\! \left(x , z\right) y}{-z +y}
F_{505}\! \left(x , y , z\right) = F_{506}\! \left(x , y , z\right)
F_{506}\! \left(x , y , z\right) = F_{2}\! \left(x \right) F_{370}\! \left(x \right) F_{68}\! \left(x , y\right) F_{68}\! \left(x , z\right) F_{8}\! \left(x \right)
F_{507}\! \left(x , y\right) = F_{508}\! \left(x , y\right)+F_{515}\! \left(x , y\right)
F_{508}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{509}\! \left(x , y\right)
F_{509}\! \left(x , y\right) = F_{510}\! \left(x , y\right)+F_{514}\! \left(x , y\right)
F_{510}\! \left(x , y\right) = F_{511}\! \left(x , y\right)
F_{511}\! \left(x , y\right) = F_{512}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{512}\! \left(x , y\right) = F_{354}\! \left(x , y\right)+F_{513}\! \left(x , y\right)
F_{513}\! \left(x , y\right) = F_{352}\! \left(x , y\right)+F_{411}\! \left(x , y\right)
F_{514}\! \left(x , y\right) = F_{437}\! \left(x , 1, y\right)
F_{515}\! \left(x , y\right) = F_{360}\! \left(x , y\right)+F_{516}\! \left(x , y\right)
F_{516}\! \left(x , y\right) = F_{517}\! \left(x , y\right)+F_{518}\! \left(x , y\right)
F_{517}\! \left(x , y\right) = F_{488}\! \left(x , y\right)
F_{518}\! \left(x , y\right) = F_{449}\! \left(x , 1, y\right)
F_{519}\! \left(x , y\right) = F_{52}\! \left(x , y\right)+F_{520}\! \left(x , y\right)
F_{520}\! \left(x , y\right) = F_{521}\! \left(x , y , 1\right)
F_{521}\! \left(x , y , z\right) = F_{413}\! \left(x , y , y z \right)
F_{522}\! \left(x , y\right) = F_{316}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{523}\! \left(x \right) = F_{149}\! \left(x \right)+F_{524}\! \left(x \right)
F_{524}\! \left(x \right) = F_{2}\! \left(x \right) F_{8}\! \left(x \right)
F_{525}\! \left(x \right) = F_{311}\! \left(x \right)+F_{526}\! \left(x \right)
F_{526}\! \left(x \right) = F_{527}\! \left(x \right)+F_{529}\! \left(x \right)
F_{527}\! \left(x \right) = F_{2}\! \left(x \right) F_{528}\! \left(x \right)
F_{528}\! \left(x \right) = F_{1}\! \left(x \right)+F_{81}\! \left(x \right)
F_{529}\! \left(x \right) = F_{136}\! \left(x \right)+F_{40}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_8(x))
Eq(F_4(x), F_39(x) + F_5(x))
Eq(F_5(x), F_1(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_8(x)*F_9(x))
Eq(F_8(x), x)
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x) + F_18(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_8(x))
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_14(x)*F_8(x))
Eq(F_17(x), F_11(x))
Eq(F_18(x), F_19(x) + F_20(x) + F_32(x))
Eq(F_19(x), 0)
Eq(F_20(x), F_21(x)*F_8(x))
Eq(F_21(x), F_22(x) + F_31(x))
Eq(F_22(x), F_23(x) + F_6(x))
Eq(F_23(x), F_19(x) + F_24(x) + F_25(x))
Eq(F_24(x), F_22(x)*F_8(x))
Eq(F_25(x), F_26(x)*F_8(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_15(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_8(x))
Eq(F_30(x), F_28(x) + F_6(x))
Eq(F_31(x), F_18(x))
Eq(F_32(x), F_33(x)*F_8(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_11(x) + F_35(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_37(x)*F_8(x))
Eq(F_37(x), F_30(x) + F_38(x))
Eq(F_38(x), F_35(x))
Eq(F_39(x), F_2(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_42(x)*F_8(x))
Eq(F_42(x), F_43(x) + F_525(x))
Eq(F_43(x), F_44(x) + F_523(x))
Eq(F_44(x), F_2(x) + F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_47(x)*F_8(x))
Eq(F_47(x), F_44(x) + F_48(x))
Eq(F_48(x), F_312(x) + F_49(x))
Eq(F_49(x), F_135(x) + F_50(x))
Eq(F_50(x), F_2(x) + F_51(x))
Eq(F_51(x), F_52(x, 1))
Eq(F_52(x, k_0), F_19(x) + F_522(x, k_0) + F_53(x, k_0))
Eq(F_54(x, k_0), F_19(x) + F_314(x, k_0) + F_53(x, k_0))
Eq(F_54(x, k_0), F_55(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0)*F_64(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0) + F_58(x, k_0))
Eq(F_57(x, k_0), F_2(x) + F_54(x, k_0))
Eq(F_58(x, k_0), F_59(x, k_0) + F_75(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0) + F_61(x, k_0))
Eq(F_60(x, k_0), F_2(x) + F_52(x, k_0))
Eq(F_61(x, k_0), F_2(x)*F_62(x, k_0))
Eq(F_62(x, k_0), F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0)*F_65(x, k_0))
Eq(F_64(x, k_0), k_0*x)
Eq(F_65(x, k_0), F_66(x, k_0) + F_67(x, k_0))
Eq(F_66(x, k_0), F_1(x) + F_64(x, k_0))
Eq(F_67(x, k_0), F_68(x, k_0) + F_71(x, k_0))
Eq(F_68(x, k_0), F_69(x, k_0))
Eq(F_69(x, k_0), F_64(x, k_0)*F_70(x, k_0))
Eq(F_70(x, k_0), F_1(x) + F_68(x, k_0))
Eq(F_71(x, k_0), F_19(x) + F_72(x, k_0) + F_74(x, k_0))
Eq(F_72(x, k_0), F_64(x, k_0)*F_73(x, k_0))
Eq(F_73(x, k_0), F_64(x, k_0) + F_71(x, k_0))
Eq(F_74(x, k_0), F_64(x, k_0)*F_68(x, k_0))
Eq(F_75(x, k_0), F_196(x, k_0) + F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_78(x)*F_8(x))
Eq(F_78(x), F_133(x) + F_79(x))
Eq(F_79(x), F_43(x) + F_80(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_11(x))
Eq(F_82(x), F_113(x) + F_19(x) + F_83(x))
Eq(F_83(x), F_8(x)*F_84(x))
Eq(F_84(x), F_80(x) + F_85(x))
Eq(F_85(x), F_86(x) + F_93(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_8(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_92(x))
Eq(F_89(x), F_81(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_8(x)*F_89(x))
Eq(F_92(x), F_86(x))
Eq(F_93(x), F_106(x) + 2*F_19(x) + F_94(x))
Eq(F_94(x), F_8(x)*F_95(x))
Eq(F_95(x), F_105(x) + F_96(x))
Eq(F_96(x), F_82(x) + F_97(x))
Eq(F_97(x), 2*F_19(x) + F_98(x) + F_99(x))
Eq(F_98(x), F_8(x)*F_96(x))
Eq(F_99(x), F_100(x)*F_8(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x) + F_90(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_8(x))
Eq(F_104(x), F_102(x) + F_82(x))
Eq(F_105(x), F_93(x))
Eq(F_106(x), F_107(x)*F_8(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x) + F_86(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_8(x))
Eq(F_111(x), F_104(x) + F_112(x))
Eq(F_112(x), F_109(x))
Eq(F_113(x), F_114(x)*F_8(x))
Eq(F_114(x), F_115(x) + F_119(x))
Eq(F_115(x), F_116(x) + F_8(x))
Eq(F_116(x), F_117(x) + F_118(x) + F_19(x))
Eq(F_117(x), x**2)
Eq(F_118(x), x**2)
Eq(F_119(x), F_120(x) + F_124(x))
Eq(F_120(x), F_121(x) + F_122(x) + F_19(x))
Eq(F_121(x), F_15(x)*F_8(x))
Eq(F_122(x), F_123(x)*F_8(x))
Eq(F_123(x), F_120(x) + F_8(x))
Eq(F_124(x), F_125(x) + F_130(x) + F_132(x) + F_19(x))
Eq(F_125(x), F_126(x)*F_8(x))
Eq(F_126(x), F_127(x) + F_129(x) + F_19(x))
Eq(F_127(x), F_128(x)*F_8(x))
Eq(F_128(x), F_126(x) + F_8(x))
Eq(F_129(x), F_15(x)*F_8(x))
Eq(F_130(x), F_131(x)*F_8(x))
Eq(F_131(x), F_116(x) + F_124(x))
Eq(F_132(x), F_120(x)*F_8(x))
Eq(F_133(x), F_134(x) + F_311(x))
Eq(F_134(x), F_135(x) + F_136(x))
Eq(F_135(x), F_2(x)*F_81(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_8(x))
Eq(F_138(x), F_139(x) + F_153(x))
Eq(F_139(x), F_140(x) + F_144(x))
Eq(F_140(x), F_141(x) + F_143(x))
Eq(F_141(x), F_142(x, 1))
Eq(F_142(x, k_0), (-k_0*F_61(x, k_0) + F_61(x, 1))/(1 - k_0))
Eq(F_143(x), F_45(x)*F_81(x))
Eq(F_144(x), F_145(x) + F_148(x))
Eq(F_145(x), F_146(x, 1))
Eq(F_146(x, k_0), (-k_0*F_147(x, k_0) + F_147(x, 1))/(1 - k_0))
Eq(F_147(x, k_0), F_2(x)*F_62(x, k_0)*F_8(x))
Eq(F_148(x), F_149(x)*F_81(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_8(x))
Eq(F_151(x), F_152(x, 1))
Eq(F_152(x, k_0), (-k_0*F_54(x, k_0) + F_54(x, 1))/(1 - k_0))
Eq(F_153(x), F_154(x) + F_179(x))
Eq(F_154(x), F_155(x) + F_174(x))
Eq(F_155(x), F_156(x)*F_2(x))
Eq(F_156(x), F_157(x) + F_173(x))
Eq(F_157(x), F_158(x) + F_81(x))
Eq(F_158(x), F_159(x) + F_81(x))
Eq(F_159(x), F_160(x) + F_165(x) + F_19(x))
Eq(F_160(x), F_161(x)*F_8(x))
Eq(F_161(x), F_162(x) + F_163(x))
Eq(F_162(x), F_8(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_160(x))
Eq(F_165(x), F_166(x)*F_8(x))
Eq(F_166(x), F_167(x) + F_168(x))
Eq(F_167(x), F_164(x) + F_81(x))
Eq(F_168(x), F_159(x) + F_169(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)*F_8(x))
Eq(F_171(x), F_163(x) + F_172(x))
Eq(F_172(x), F_169(x))
Eq(F_173(x), F_81(x)**2)
Eq(F_174(x), F_175(x) + F_178(x))
Eq(F_175(x), F_176(x, 1))
Eq(F_176(x, k_0), (-k_0*F_177(x, k_0) + F_177(x, 1))/(1 - k_0))
Eq(F_177(x, k_0), F_40(x)*F_62(x, k_0))
Eq(F_178(x), F_136(x)*F_81(x))
Eq(F_179(x), F_180(x) + F_268(x))
Eq(F_180(x), F_181(x) + F_194(x))
Eq(F_181(x), F_182(x) + F_183(x))
Eq(F_182(x), F_76(x)*F_81(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x, 1))
Eq(F_185(x, k_0), -F_186(x, 1) + (-k_0*F_186(x, k_0) + F_186(x, 1))/(1 - k_0))
Eq(F_186(x, k_0), F_187(x)*F_2(x)*F_62(x, k_0))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_189(x)*F_8(x))
Eq(F_189(x), F_190(x) + F_191(x))
Eq(F_190(x), F_1(x) + F_8(x))
Eq(F_191(x), F_187(x) + F_192(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_187(x)*F_8(x))
Eq(F_194(x), F_195(x)*F_81(x))
Eq(F_195(x), F_196(x, 1))
Eq(F_196(x, k_0), F_197(x, k_0))
Eq(F_197(x, k_0), F_198(x, k_0)*F_8(x))
Eq(F_198(x, k_0), F_199(x, k_0) + F_227(x, k_0))
Eq(F_199(x, k_0), F_200(x, k_0) + F_217(x, k_0))
Eq(F_200(x, k_0), F_201(x, k_0) + F_216(x, k_0))
Eq(F_201(x, k_0), F_19(x) + F_202(x, k_0) + F_207(x, k_0))
Eq(F_202(x, k_0), F_203(x, k_0)*F_8(x))
Eq(F_203(x, k_0), F_204(x, k_0) + F_205(x, k_0))
Eq(F_204(x, k_0), F_64(x, k_0))
Eq(F_205(x, k_0), F_206(x, k_0))
Eq(F_206(x, k_0), k_0*F_164(x))
Eq(F_207(x, k_0), F_208(x, k_0)*F_64(x, k_0))
Eq(F_208(x, k_0), F_209(x, k_0) + F_210(x, k_0))
Eq(F_209(x, k_0), F_206(x, k_0) + F_81(x))
Eq(F_210(x, k_0), F_201(x, k_0) + F_211(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)*F_64(x, k_0))
Eq(F_213(x, k_0), F_214(x, k_0) + F_215(x, k_0))
Eq(F_214(x, k_0), F_206(x, k_0))
Eq(F_215(x, k_0), F_211(x, k_0))
Eq(F_216(x, k_0), -F_54(x, 1) + (k_0*F_54(x, k_0) - F_54(x, 1))/(k_0 - 1))
Eq(F_217(x, k_0), F_218(x, k_0) + F_226(x, k_0))
Eq(F_218(x, k_0), -F_219(x, 1) - F_219(x, k_0) + (k_0*F_219(x, k_0) - F_219(x, 1))/(k_0 - 1))
Eq(F_219(x, k_0), F_2(x)*F_220(x, k_0))
Eq(F_220(x, k_0), F_221(x, k_0))
Eq(F_221(x, k_0), F_222(x, k_0)*F_64(x, k_0))
Eq(F_222(x, k_0), F_223(x, k_0) + F_68(x, k_0))
Eq(F_223(x, k_0), F_224(x, k_0))
Eq(F_224(x, k_0), F_225(x, k_0)*F_64(x, k_0))
Eq(F_225(x, k_0), F_223(x, k_0) + F_70(x, k_0))
Eq(F_226(x, k_0), -F_196(x, 1) + (k_0*F_196(x, k_0) - F_196(x, 1))/(k_0 - 1))
Eq(F_227(x, k_0), F_228(x, k_0) + F_240(x, k_0))
Eq(F_228(x, k_0), F_218(x, k_0) + F_229(x, k_0))
Eq(F_229(x, k_0), -F_230(x, 1) + (k_0*F_230(x, k_0) - F_230(x, 1))/(k_0 - 1))
Eq(F_230(x, k_0), F_231(x, k_0))
Eq(F_231(x, k_0), F_232(x, k_0)*F_8(x))
Eq(F_232(x, k_0), F_233(x, k_0) + F_236(x, k_0))
Eq(F_233(x, k_0), F_216(x, k_0) + F_234(x, k_0))
Eq(F_234(x, k_0), -F_235(x, 1) - F_235(x, k_0) + (k_0*F_235(x, k_0) - F_235(x, 1))/(k_0 - 1))
Eq(F_235(x, k_0), F_220(x, k_0)*F_5(x))
Eq(F_236(x, k_0), F_237(x, k_0) + F_239(x, k_0))
Eq(F_237(x, k_0), -F_238(x, 1) - F_238(x, k_0) + (k_0*F_238(x, k_0) - F_238(x, 1))/(k_0 - 1))
Eq(F_238(x, k_0), F_220(x, k_0)*F_39(x))
Eq(F_239(x, k_0), -F_218(x, 1) + (k_0*F_218(x, k_0) - F_218(x, 1))/(k_0 - 1))
Eq(F_240(x, k_0), F_241(x, k_0) + F_243(x, k_0))
Eq(F_241(x, k_0), -F_242(x, 1) - F_242(x, k_0) + (k_0*F_242(x, k_0) - F_242(x, 1))/(k_0 - 1))
Eq(F_242(x, k_0), F_220(x, k_0)*F_76(x))
Eq(F_243(x, k_0), -F_244(x, 1) + (k_0*F_244(x, k_0) - F_244(x, 1))/(k_0 - 1))
Eq(F_244(x, k_0), F_245(x, k_0))
Eq(F_245(x, k_0), F_246(x, k_0)*F_8(x))
Eq(F_246(x, k_0), F_247(x, k_0) + F_266(x, k_0))
Eq(F_247(x, k_0), F_248(x, k_0))
Eq(F_248(x, k_0), F_226(x, k_0) + F_249(x, k_0))
Eq(F_249(x, k_0), F_250(x, k_0))
Eq(F_250(x, k_0), F_2(x)*F_251(x, k_0))
Eq(F_251(x, k_0), F_201(x, k_0) + F_252(x, k_0))
Eq(F_252(x, k_0), F_253(x, k_0))
Eq(F_253(x, k_0), F_254(x, k_0)*F_8(x))
Eq(F_254(x, k_0), F_255(x, k_0) + F_258(x, k_0))
Eq(F_255(x, k_0), F_256(x, k_0) + F_257(x, k_0))
Eq(F_256(x, k_0), F_114(x)*F_68(x, k_0))
Eq(F_257(x, k_0), F_123(x)*F_73(x, k_0))
Eq(F_258(x, k_0), F_187(x)*F_259(x, k_0))
Eq(F_259(x, k_0), F_260(x, k_0) + F_264(x, k_0))
Eq(F_260(x, k_0), F_261(x)*F_68(x, k_0))
Eq(F_261(x), F_114(x) + F_262(x))
Eq(F_262(x), F_190(x) + F_263(x))
Eq(F_263(x), F_126(x) + F_15(x))
Eq(F_264(x, k_0), F_265(x)*F_73(x, k_0))
Eq(F_265(x), F_123(x) + F_14(x))
Eq(F_266(x, k_0), F_267(x, k_0))
Eq(F_267(x, k_0), F_2(x)*F_251(x, k_0)*F_8(x))
Eq(F_268(x), F_269(x) + F_282(x))
Eq(F_269(x), F_270(x) + F_278(x))
Eq(F_270(x), F_271(x)*F_81(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x)*F_8(x))
Eq(F_273(x), F_274(x) + F_76(x))
Eq(F_274(x), F_275(x) + F_276(x))
Eq(F_275(x), F_135(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_14(x)**2*F_187(x)*F_2(x)*F_8(x))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_280(x, 1))
Eq(F_280(x, k_0), -F_281(x, 1) + (-k_0*F_281(x, k_0) + F_281(x, 1))/(1 - k_0))
Eq(F_281(x, k_0), F_187(x)*F_2(x)*F_62(x, k_0)*F_8(x))
Eq(F_282(x), F_283(x)*F_81(x))
Eq(F_283(x), F_284(x))
Eq(F_284(x), F_285(x)*F_8(x))
Eq(F_285(x), F_286(x) + F_288(x))
Eq(F_286(x), F_287(x, 1))
Eq(F_287(x, k_0), (-k_0*F_196(x, k_0) + F_196(x, 1))/(1 - k_0))
Eq(F_288(x), F_289(x) + F_292(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_291(x, 1))
Eq(F_291(x, k_0), (-k_0*F_218(x, k_0) + F_218(x, 1))/(1 - k_0))
Eq(F_292(x), F_293(x) + F_299(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_187(x)*F_2(x)*F_295(x)*F_8(x))
Eq(F_295(x), F_296(x) + F_298(x))
Eq(F_296(x), F_15(x)*F_297(x))
Eq(F_297(x), F_14(x) + F_81(x))
Eq(F_298(x), F_128(x)*F_14(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_187(x)*F_2(x)*F_301(x))
Eq(F_301(x), F_159(x) + F_302(x))
Eq(F_302(x), F_170(x) + F_19(x) + F_303(x) + F_304(x))
Eq(F_303(x), 0)
Eq(F_304(x), F_305(x)*F_8(x))
Eq(F_305(x), F_168(x) + F_306(x))
Eq(F_306(x), F_302(x) + F_307(x))
Eq(F_307(x), F_308(x))
Eq(F_308(x), F_309(x)*F_8(x))
Eq(F_309(x), F_172(x) + F_310(x))
Eq(F_310(x), F_307(x))
Eq(F_311(x), F_312(x) + F_313(x))
Eq(F_312(x), F_195(x) + F_76(x))
Eq(F_313(x), F_271(x) + F_283(x))
Eq(F_314(x, k_0), F_315(x, k_0)*F_64(x, k_0))
Eq(F_315(x, k_0), F_316(x, k_0) + F_519(x, k_0))
Eq(F_316(x, k_0), F_2(x) + F_317(x, k_0))
Eq(F_317(x, k_0), F_318(x, k_0))
Eq(F_318(x, k_0), F_319(x, k_0)*F_64(x, k_0))
Eq(F_319(x, k_0), F_316(x, k_0) + F_320(x, k_0))
Eq(F_320(x, k_0), F_321(x, k_0) + F_322(x, k_0))
Eq(F_321(x, k_0), F_2(x)*F_70(x, k_0))
Eq(F_322(x, k_0), F_323(x) + F_406(x, k_0))
Eq(F_323(x), F_324(x))
Eq(F_324(x), F_325(x)*F_8(x))
Eq(F_325(x), F_326(x) + F_381(x))
Eq(F_326(x), F_327(x) + F_328(x))
Eq(F_327(x), F_15(x) + F_50(x))
Eq(F_328(x), F_329(x) + F_330(x))
Eq(F_329(x), F_15(x)*F_2(x))
Eq(F_330(x), F_323(x) + F_331(x))
Eq(F_331(x), F_332(x, 1))
Eq(F_332(x, k_0), F_333(x, k_0))
Eq(F_333(x, k_0), F_334(x, k_0)*F_8(x))
Eq(F_334(x, k_0), F_335(x, k_0) + F_345(x, k_0))
Eq(F_335(x, k_0), F_336(x, k_0) + F_341(x, k_0))
Eq(F_336(x, k_0), F_337(x, k_0) + F_340(x, k_0))
Eq(F_337(x, k_0), F_338(x, k_0))
Eq(F_338(x, k_0), F_339(x, k_0)*F_64(x, k_0))
Eq(F_339(x, k_0), F_15(x) + F_337(x, k_0))
Eq(F_340(x, k_0), -F_52(x, 1) + (k_0*F_52(x, k_0) - F_52(x, 1))/(k_0 - 1))
Eq(F_341(x, k_0), F_342(x, k_0) + F_344(x, k_0))
Eq(F_342(x, k_0), F_343(x, k_0))
Eq(F_343(x, k_0), F_15(x)*F_2(x)*F_68(x, k_0))
Eq(F_344(x, k_0), -F_332(x, 1) + (k_0*F_332(x, k_0) - F_332(x, 1))/(k_0 - 1))
Eq(F_345(x, k_0), F_346(x, k_0) + F_359(x, k_0))
Eq(F_346(x, k_0), F_342(x, k_0) + F_347(x, k_0))
Eq(F_347(x, k_0), -F_348(x, 1) + (k_0*F_348(x, k_0) - F_348(x, 1))/(k_0 - 1))
Eq(F_348(x, k_0), F_349(x, k_0))
Eq(F_349(x, k_0), F_350(x, k_0)*F_8(x))
Eq(F_350(x, k_0), F_351(x, k_0) + F_354(x, k_0))
Eq(F_351(x, k_0), F_340(x, k_0) + F_352(x, k_0))
Eq(F_352(x, k_0), F_353(x, k_0))
Eq(F_353(x, k_0), F_15(x)*F_5(x)*F_68(x, k_0))
Eq(F_354(x, k_0), F_355(x, k_0))
Eq(F_355(x, k_0), F_356(x)*F_68(x, k_0))
Eq(F_356(x), F_357(x) + F_358(x))
Eq(F_357(x), F_15(x)*F_39(x))
Eq(F_358(x), F_14(x)*F_15(x)*F_2(x))
Eq(F_359(x, k_0), F_360(x, k_0) + F_362(x, k_0))
Eq(F_360(x, k_0), F_361(x, k_0))
Eq(F_361(x, k_0), F_15(x)*F_68(x, k_0)*F_76(x))
Eq(F_362(x, k_0), -F_363(x, 1) + (k_0*F_363(x, k_0) - F_363(x, 1))/(k_0 - 1))
Eq(F_363(x, k_0), F_364(x, k_0))
Eq(F_364(x, k_0), F_365(x, k_0)*F_8(x))
Eq(F_365(x, k_0), F_366(x, k_0) + F_379(x, k_0))
Eq(F_366(x, k_0), F_367(x, k_0))
Eq(F_367(x, k_0), F_344(x, k_0) + F_368(x, k_0))
Eq(F_368(x, k_0), F_369(x, k_0))
Eq(F_369(x, k_0), F_2(x)*F_370(x)*F_68(x, k_0))
Eq(F_370(x), F_15(x) + F_371(x))
Eq(F_371(x), F_122(x) + F_19(x) + F_372(x))
Eq(F_372(x), F_373(x)*F_8(x))
Eq(F_373(x), F_374(x) + F_376(x))
Eq(F_374(x), F_15(x) + F_375(x))
Eq(F_375(x), F_121(x))
Eq(F_376(x), F_371(x) + F_377(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_371(x)*F_8(x))
Eq(F_379(x, k_0), F_380(x, k_0))
Eq(F_380(x, k_0), F_2(x)*F_370(x)*F_68(x, k_0)*F_8(x))
Eq(F_381(x), F_382(x) + F_391(x))
Eq(F_382(x), F_329(x) + F_383(x))
Eq(F_383(x), F_384(x) + F_390(x))
Eq(F_384(x), F_385(x))
Eq(F_385(x), F_386(x)*F_8(x))
Eq(F_386(x), F_387(x) + F_389(x))
Eq(F_387(x), F_388(x) + F_50(x))
Eq(F_388(x), F_15(x)*F_5(x))
Eq(F_389(x), F_356(x))
Eq(F_390(x), F_348(x, 1))
Eq(F_391(x), F_392(x) + F_393(x))
Eq(F_392(x), F_15(x)*F_76(x))
Eq(F_393(x), F_394(x) + F_405(x))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_396(x)*F_8(x))
Eq(F_396(x), F_397(x) + F_402(x))
Eq(F_397(x), F_328(x) + F_398(x))
Eq(F_398(x), F_399(x))
Eq(F_399(x), F_187(x)*F_2(x)*F_400(x))
Eq(F_400(x), F_15(x) + F_401(x))
Eq(F_401(x), F_14(x)*F_15(x))
Eq(F_402(x), F_403(x))
Eq(F_403(x), F_15(x)*F_2(x)*F_404(x)*F_8(x))
Eq(F_404(x), F_1(x) + F_187(x))
Eq(F_405(x), F_363(x, 1))
Eq(F_406(x, k_0), F_407(x, k_0))
Eq(F_407(x, k_0), F_408(x, k_0)*F_8(x))
Eq(F_408(x, k_0), F_409(x, k_0) + F_507(x, k_0))
Eq(F_409(x, k_0), F_410(x, k_0) + F_492(x, k_0))
Eq(F_410(x, k_0), F_337(x, k_0) + F_411(x, k_0))
Eq(F_411(x, k_0), F_317(x, k_0) + F_412(x, k_0))
Eq(F_412(x, k_0), F_413(x, 1, k_0))
Eq(F_413(x, k_0, k_1), F_414(x, k_0, k_1))
Eq(F_414(x, k_0, k_1), F_415(x, k_0, k_1)*F_64(x, k_1))
Eq(F_415(x, k_0, k_1), F_416(x, k_0, k_1) + F_417(x, k_0, k_1))
Eq(F_416(x, k_0, k_1), F_413(x, k_0, k_1) + F_52(x, k_0))
Eq(F_417(x, k_0, k_1), F_418(x, k_0, k_1) + F_420(x, k_0, k_1))
Eq(F_418(x, k_0, k_1), F_419(x, k_0, k_1))
Eq(F_419(x, k_0, k_1), F_2(x)*F_68(x, k_0)*F_70(x, k_1))
Eq(F_420(x, k_0, k_1), F_332(x, k_0) + F_421(x, k_0, k_1))
Eq(F_421(x, k_0, k_1), F_422(x, k_0, k_1))
Eq(F_422(x, k_0, k_1), F_423(x, k_0, k_1)*F_8(x))
Eq(F_423(x, k_0, k_1), F_424(x, k_0, k_1) + F_434(x, k_0, k_1))
Eq(F_424(x, k_0, k_1), F_425(x, k_0, k_1) + F_430(x, k_0, k_1))
Eq(F_425(x, k_0, k_1), F_426(x, k_0, k_1) + F_429(x, k_0, k_1))
Eq(F_426(x, k_0, k_1), F_427(x, k_0, k_1))
Eq(F_427(x, k_0, k_1), F_428(x, k_0, k_1)*F_64(x, k_1))
Eq(F_428(x, k_0, k_1), F_337(x, k_0) + F_426(x, k_0, k_1))
Eq(F_429(x, k_0, k_1), -F_413(x, 1, k_1) + (k_0*F_413(x, k_0, k_1) - F_413(x, 1, k_1))/(k_0 - 1))
Eq(F_430(x, k_0, k_1), F_431(x, k_0, k_1) + F_433(x, k_0, k_1))
Eq(F_431(x, k_0, k_1), F_432(x, k_0, k_1))
Eq(F_432(x, k_0, k_1), F_15(x)*F_2(x)*F_68(x, k_0)*F_68(x, k_1))
Eq(F_433(x, k_0, k_1), -F_421(x, 1, k_1) + (k_0*F_421(x, k_0, k_1) - F_421(x, 1, k_1))/(k_0 - 1))
Eq(F_434(x, k_0, k_1), F_435(x, k_0, k_1) + F_445(x, k_0, k_1))
Eq(F_435(x, k_0, k_1), F_431(x, k_0, k_1) + F_436(x, k_0, k_1))
Eq(F_436(x, k_0, k_1), -F_437(x, 1, k_1) + (k_0*F_437(x, k_0, k_1) - F_437(x, 1, k_1))/(k_0 - 1))
Eq(F_437(x, k_0, k_1), F_438(x, k_0, k_1))
Eq(F_438(x, k_0, k_1), F_439(x, k_0, k_1)*F_8(x))
Eq(F_439(x, k_0, k_1), F_440(x, k_0, k_1) + F_443(x, k_0, k_1))
Eq(F_440(x, k_0, k_1), F_429(x, k_0, k_1) + F_441(x, k_0, k_1))
Eq(F_441(x, k_0, k_1), F_442(x, k_0, k_1))
Eq(F_442(x, k_0, k_1), F_15(x)*F_5(x)*F_68(x, k_0)*F_68(x, k_1))
Eq(F_443(x, k_0, k_1), F_444(x, k_0, k_1))
Eq(F_444(x, k_0, k_1), F_356(x)*F_68(x, k_0)*F_68(x, k_1))
Eq(F_445(x, k_0, k_1), F_446(x, k_0, k_1) + F_448(x, k_0, k_1))
Eq(F_446(x, k_0, k_1), F_447(x, k_0, k_1))
Eq(F_447(x, k_0, k_1), F_15(x)*F_68(x, k_0)*F_68(x, k_1)*F_76(x))
Eq(F_448(x, k_0, k_1), -F_449(x, 1, k_1) + (k_0*F_449(x, k_0, k_1) - F_449(x, 1, k_1))/(k_0 - 1))
Eq(F_449(x, k_0, k_1), F_450(x, k_0, k_1))
Eq(F_450(x, k_0, k_1), F_451(x, k_0, k_1)*F_8(x))
Eq(F_451(x, k_0, k_1), F_452(x, k_0, k_1) + F_505(x, k_0, k_1))
Eq(F_452(x, k_0, k_1), F_453(x, k_0, k_1))
Eq(F_453(x, k_0, k_1), F_433(x, k_0, k_1) + F_454(x, k_0, k_1))
Eq(F_454(x, k_0, k_1), F_455(x, k_0, k_1))
Eq(F_456(x, k_0, k_1), F_455(x, k_0, k_1) + F_504(x, k_0, k_1))
Eq(F_456(x, k_0, k_1), -F_457(x, k_0) - F_457(x, k_1) + (-k_0*F_457(x, k_0) + k_1*F_457(x, k_1))/(-k_0 + k_1))
Eq(F_457(x, k_0), F_458(x, k_0) + F_461(x, k_0))
Eq(F_458(x, k_0), F_459(x, k_0))
Eq(F_459(x, k_0), F_2(x)*F_370(x)*F_460(x, k_0))
Eq(F_460(x, k_0), F_74(x, k_0))
Eq(F_462(x, k_0), F_461(x, k_0) + F_502(x, k_0))
Eq(F_463(x, k_0), F_462(x, k_0) + F_466(x, k_0))
Eq(F_464(x, k_0), -F_463(x, 1) - F_463(x, k_0) + (-k_0*F_463(x, k_0) + F_463(x, 1))/(1 - k_0))
Eq(F_464(x, k_0), F_465(x, k_0) + F_480(x, k_0))
Eq(F_465(x, k_0), -F_466(x, 1) - F_466(x, k_0) + (-k_0*F_466(x, k_0) + F_466(x, 1))/(1 - k_0))
Eq(F_466(x, k_0), F_467(x, k_0) + F_469(x, k_0))
Eq(F_467(x, k_0), F_468(x, k_0))
Eq(F_468(x, k_0), F_337(x, k_0)*F_64(x, k_0))
Eq(F_469(x, k_0), F_470(x, k_0) + F_475(x, k_0))
Eq(F_470(x, k_0), F_471(x, k_0))
Eq(F_471(x, k_0), F_472(x, k_0)*F_64(x, k_0))
Eq(F_472(x, k_0), F_317(x, k_0) + F_473(x, k_0))
Eq(F_473(x, k_0), F_406(x, k_0) + F_474(x, k_0))
Eq(F_474(x, k_0), F_2(x)*F_68(x, k_0))
Eq(F_475(x, k_0), F_476(x, k_0))
Eq(F_476(x, k_0), F_477(x, k_0)*F_64(x, k_0))
Eq(F_477(x, k_0), F_412(x, k_0) + F_478(x, k_0))
Eq(F_478(x, k_0), F_342(x, k_0) + F_479(x, k_0))
Eq(F_479(x, k_0), F_421(x, 1, k_0))
Eq(F_481(x, k_0), F_480(x, k_0) + F_500(x, k_0))
Eq(F_482(x, k_0), F_481(x, k_0) + F_498(x, k_0))
Eq(F_483(x, k_0), F_482(x, k_0)*F_8(x))
Eq(F_483(x, k_0), F_484(x, k_0))
Eq(F_484(x, k_0), -F_485(x, 1) - F_485(x, k_0) + (-k_0*F_485(x, k_0) + F_485(x, 1))/(1 - k_0))
Eq(F_486(x, k_0), -F_485(x, 1) - F_485(x, k_0) + (k_0*F_485(x, k_0) - F_485(x, 1))/(k_0 - 1))
Eq(F_487(x, k_0), F_486(x, k_0) + F_488(x, k_0))
Eq(F_487(x, k_0), -F_488(x, 1) + (k_0*F_488(x, k_0) - F_488(x, 1))/(k_0 - 1))
Eq(F_488(x, k_0), F_489(x, k_0))
Eq(F_489(x, k_0), F_490(x, k_0)*F_8(x))
Eq(F_490(x, k_0), F_491(x, k_0) + F_496(x, k_0))
Eq(F_491(x, k_0), F_492(x, k_0) + F_494(x, k_0))
Eq(F_492(x, k_0), F_342(x, k_0) + F_493(x, k_0))
Eq(F_493(x, k_0), F_406(x, k_0) + F_479(x, k_0))
Eq(F_494(x, k_0), F_495(x, k_0))
Eq(F_495(x, k_0), F_187(x)*F_2(x)*F_400(x)*F_68(x, k_0))
Eq(F_496(x, k_0), F_497(x, k_0))
Eq(F_497(x, k_0), F_15(x)*F_2(x)*F_404(x)*F_68(x, k_0)*F_8(x))
Eq(F_498(x, k_0), F_499(x, k_0))
Eq(F_499(x, k_0), F_15(x)**2*F_2(x)*F_404(x)*F_68(x, k_0)*F_8(x))
Eq(F_500(x, k_0), F_501(x, k_0))
Eq(F_501(x, k_0), F_15(x)*F_187(x)*F_2(x)*F_400(x)*F_68(x, k_0))
Eq(F_502(x, k_0), F_503(x, k_0))
Eq(F_503(x, k_0), F_15(x)*F_2(x)*F_460(x, k_0))
Eq(F_504(x, k_0, k_1), -F_461(x, k_0) - F_461(x, k_1) + (-k_0*F_461(x, k_0) + k_1*F_461(x, k_1))/(-k_0 + k_1))
Eq(F_505(x, k_0, k_1), F_506(x, k_0, k_1))
Eq(F_506(x, k_0, k_1), F_2(x)*F_370(x)*F_68(x, k_0)*F_68(x, k_1)*F_8(x))
Eq(F_507(x, k_0), F_508(x, k_0) + F_515(x, k_0))
Eq(F_508(x, k_0), F_342(x, k_0) + F_509(x, k_0))
Eq(F_509(x, k_0), F_510(x, k_0) + F_514(x, k_0))
Eq(F_510(x, k_0), F_511(x, k_0))
Eq(F_511(x, k_0), F_512(x, k_0)*F_8(x))
Eq(F_512(x, k_0), F_354(x, k_0) + F_513(x, k_0))
Eq(F_513(x, k_0), F_352(x, k_0) + F_411(x, k_0))
Eq(F_514(x, k_0), F_437(x, 1, k_0))
Eq(F_515(x, k_0), F_360(x, k_0) + F_516(x, k_0))
Eq(F_516(x, k_0), F_517(x, k_0) + F_518(x, k_0))
Eq(F_517(x, k_0), F_488(x, k_0))
Eq(F_518(x, k_0), F_449(x, 1, k_0))
Eq(F_519(x, k_0), F_52(x, k_0) + F_520(x, k_0))
Eq(F_520(x, k_0), F_521(x, k_0, 1))
Eq(F_521(x, k_0, k_1), F_413(x, k_0, k_0*k_1))
Eq(F_522(x, k_0), F_316(x, k_0)*F_64(x, k_0))
Eq(F_523(x), F_149(x) + F_524(x))
Eq(F_524(x), F_2(x)*F_8(x))
Eq(F_525(x), F_311(x) + F_526(x))
Eq(F_526(x), F_527(x) + F_529(x))
Eq(F_527(x), F_2(x)*F_528(x))
Eq(F_528(x), F_1(x) + F_81(x))
Eq(F_529(x), F_136(x) + F_40(x))
Pack JSON:
{"name": "insertion_point_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": true, "maxreqlen": 1, "extra_basis": [], "one_cell_only": true}, {"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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": 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": null}], "iterative": false}
Specification JSON:
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