02341_02431_03421_12340_12430_13420_21340_21430
Counting sequence:
1, 1, 2, 6, 24, 112, 563, 2938, 15655, 84497, 459985, 2519056, 13854737, 76442148, 422762957, 2342304806, 12995470717, 72178695517, 401230481893, 2231876595841, 12421640209934, 69163108381194, 385230824416807, 2146299092660239, 11960784041730514, 66667052472814306, 371646949285810441, 2072076961516238959, 11553874707101132310, 64429995862113010794, 359319550815792934078, 2004013452407703772967, 11177459763019529534778, 62345440450967788083554, 347762210248540738707626, 1939874750929238303910538, 10821227330569846598589853, 60365545626202154873014872, 336751897150430225944905960, 1878616127130462730717522872, 10480260383224031442863196485, 58467059080830678371450171448, 326178122373274902686608990798, 1819709980397163283135813816604, 10152026826200190071514398918015, 56637765263986618693690753485940, 315981636547872268531874391577834, 1762867324242198035493562583657440, 9835108965000979877333655458306520, 54870667597414381908290008664882038, 306127696682185004929278376921049111, 1707914539710585115638309960198254105, 9528633566223490585291614931460620597, 53161345262385504987703644888875547087, 296593774502486755598108305254817381173, 1654736070082816485558933409675163781344, 9232004050345534420278693527281531811729, 51506698800498273136157812098897002547833, 287363668247442479844006092056828844705329, 1603246724926884013425196726838937822278813, 8944769967229936835370199908327311947404192, 49904333843996974407580297480266618369719334, 278424587814879309445685717310754409070394580, 1553377869983290544341641222774583434124533777, 8666561459581465528066322669204282855939336717, 48352249621897474707146740817597585364588089958, 269765671996315889212325651364705828621709088114, 1505070358576930812163889594819524932488244590831, 8397055517632364718167907126658793340121244871354, 46848677635138102853761837757498491638990894578022, 261377216177830334596326803796636191564527422414948, 1458270829424405825111690157291306241364068940248271, 8135958207903915276513526339467332073316541308293664, 45391996236289755497848906536757834933959337851696859, 253250261197759606834500733006437763387233544102847392, 1412929725024867804057580479504263473815827400342487186, 7882995108986011550283896906291580579447763103163421638, 43980684401859911609673019021193639182943669789933670062, 245376369579725772912304244582250336932551095994050919536, 1369000206845031542683811120284550865577602393748324787823, 7637906043954012319316243271849182564737263852107165458815, 42613296111135803932757915699243766509706272157946465295273, 237747500691123786109610324169286796201502179862537675422470, 1326437545867071862987739341612966812700392850836447573987181, 7400442099149755825374864654800372100153820847388860188080432, 41288445731764034813058205424343120453709097389225420236899514, 230355938935825940952611198376179193219089217453994633840682905, 1285198768895521404437994567586012952206086526663946398481138415, 7170363877422548547763745227566088390866361704708555931791182639, 40004799368676370692114238030346210761316986847336624832010852626, 223194250778376256998473527353066351609303152974946966728693098540, 1245242444374691689120075035855486693601948480923415491079182036627, 6947440427002076897166258426332314859904456780408451589458386745797, 38761069487772117151137583634162693145717955363642993955521606657390, 216255257654307720242193906650535674941503320669425809805966368924251, 1206528545337877936098286177773830591177074610032816787550907925856801, 6731448545201269709434329579563322255282493456135544828432416582162459, 37556011362791192606964400487486155891869891457565435124772436461976625, 209532017756944769637712235337183957574805752710204168855717873970991813, 1169018355615751054364907505635684711089394550497486244623877323558432228, 6522172293159068662519786158701226132026242956561005235160447983658538993
Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24405/
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[44,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[21,x]
F[10,x] = F[1,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[8,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = F[1,x]+F[8,x]
F[15,x] = F[11,x]+F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[8,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[8,x]
F[20,x] = F[16,x]
F[21,x] = F[22,x]+F[6,x]
F[22,x] = F[23,x]+F[24,x]+F[40,x]
F[23,x] = 0
F[24,x] = F[25,x]*F[8,x]
F[25,x] = F[26,x]+F[29,x]
F[26,x] = F[27,x]+F[8,x]
F[27,x] = F[17,x]+F[23,x]+F[28,x]
F[28,x] = F[11,x]*F[8,x]
F[29,x] = F[30,x]+F[32,x]
F[30,x] = F[23,x]+F[24,x]+F[31,x]
F[31,x] = F[6,x]*F[8,x]
F[32,x] = F[23,x]+F[33,x]+F[34,x]+F[39,x]
F[33,x] = 0
F[34,x] = F[35,x]*F[8,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[30,x]
F[37,x] = F[38,x]
F[38,x] = F[34,x]
F[39,x] = F[22,x]*F[8,x]
F[40,x] = F[41,x]*F[8,x]
F[41,x] = F[42,x]+F[43,x]
F[42,x] = F[30,x]+F[6,x]
F[43,x] = F[22,x]+F[38,x]
F[44,x] = F[23,x]+F[344,x]+F[45,x]
F[45,x] = F[46,x]*F[8,x]
F[46,x] = F[44,x]+F[47,x]
F[47,x] = F[23,x]+F[342,x]+F[48,x]+F[50,x]
F[48,x] = F[49,x]*F[8,x]
F[49,x] = F[47,x]
F[50,x] = F[51,x]*F[8,x]
F[51,x] = F[341,x]+F[52,x]
F[52,x] = F[23,x]+F[53,x]+F[55,x]+F[56,x]
F[53,x] = F[54,x]*F[8,x]
F[54,x] = F[46,x]+F[49,x]
F[55,x] = F[52,x]*F[8,x]
F[56,x] = F[57,x]*F[8,x]
F[57,x] = F[58,x,1]
F[58,x,k[0]] = F[1,x]+F[337,x,k[0]]+F[338,x,k[0]]+F[339,x,k[0]]+F[59,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]*F[8,x]
F[60,x,k[0]] = F[295,x,k[0]]+F[61,x,k[0]]
F[61,x,k[0]] = 1/(-1+k[0])*(F[62,x,k[0]]*k[0]-F[62,x,1])
F[62,x,k[0]] = F[4,x]+F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]*F[97,x,k[0]]
F[65,x,k[0]] = F[66,x,k[0]]+F[95,x,k[0]]
F[67,x,k[0]] = F[335,x,k[0]]+F[66,x,k[0]]
F[67,x,k[0]] = F[206,x,k[0]]+F[68,x]
F[68,x] = F[204,x]+F[69,x]
F[69,x] = F[4,x]+F[70,x]+F[73,x]
F[70,x] = F[71,x]
F[71,x] = F[72,x]*F[8,x]
F[72,x] = F[65,x,1]
F[73,x] = F[74,x]
F[74,x] = F[75,x]*F[8,x]
F[75,x] = F[76,x,1]
F[77,x,k[0]] = (F[76,x,k[0]]*k[0]-F[76,x,1])/(-1+k[0])
F[78,x,k[0]] = F[131,x,k[0]]+F[77,x,k[0]]
F[79,x,k[0]] = F[78,x,k[0]]*F[97,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = -k[0]*(F[81,x,1]-F[81,x,k[0]])/(-1+k[0])
F[81,x,k[0]] = F[130,x,k[0]]+F[23,x]+F[82,x,k[0]]+F[84,x,k[0]]
F[82,x,k[0]] = F[8,x]*F[83,x,k[0]]
F[83,x,k[0]] = -k[0]*(F[63,x,1]-F[63,x,k[0]])/(-1+k[0])
F[84,x,k[0]] = F[85,x,k[0]]*F[97,x,k[0]]
F[85,x,k[0]] = F[129,x,k[0]]+F[86,x,k[0]]
F[86,x,k[0]] = F[4,x]+F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]*F[97,x,k[0]]
F[89,x,k[0]] = F[102,x,k[0]]+F[86,x,k[0]]+F[90,x,k[0]]
F[90,x,k[0]] = F[91,x,k[0]]
F[91,x,k[0]] = F[8,x]*F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]+F[94,x]
F[93,x,k[0]] = 1/(-1+k[0])*(F[66,x,k[0]]*k[0]-F[66,x,1])
F[94,x] = F[95,x,1]
F[95,x,k[0]] = F[96,x,k[0]]
F[96,x,k[0]] = F[65,x,k[0]]*F[97,x,k[0]]*F[98,x]
F[97,x,k[0]] = k[0]*x
F[98,x] = F[99,x]
F[99,x] = F[1,x]+F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[8,x]*F[99,x]
F[102,x,k[0]] = F[103,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]*F[8,x]
F[105,x,k[0]] = F[104,x,k[0]]+F[107,x,k[0]]
F[106,x,k[0]] = F[105,x,k[0]]*F[97,x,k[0]]
F[106,x,k[0]] = F[80,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]
F[108,x,k[0]] = k[0]*F[109,x,k[0]]
F[109,x,k[0]] = F[110,x,k[0]]+F[121,x,k[0]]+F[126,x,k[0]]
F[110,x,k[0]] = F[111,x,k[0]]+F[116,x,k[0]]+F[117,x,k[0]]+F[118,x,k[0]]+F[23,x]
F[111,x,k[0]] = F[112,x,k[0]]*F[8,x]
F[112,x,k[0]] = F[113,x,k[0]]
F[113,x,k[0]] = 1/(-1+k[0])*(F[114,x,k[0]]*k[0]-F[114,x,1])
F[114,x,k[0]] = F[115,x,k[0]]
F[115,x,k[0]] = F[65,x,k[0]]*F[8,x]
F[116,x,k[0]] = F[110,x,k[0]]*F[97,x,k[0]]
F[117,x,k[0]] = F[8,x]*F[86,x,k[0]]
F[118,x,k[0]] = F[119,x,k[0]]*F[8,x]
F[119,x,k[0]] = F[120,x,k[0]]
F[120,x,k[0]] = (F[81,x,k[0]]-F[81,x,1])/(-1+k[0])
F[121,x,k[0]] = F[122,x,k[0]]*F[8,x]
F[122,x,k[0]] = F[123,x,k[0]]
F[123,x,k[0]] = 1/(-1+k[0])*(F[124,x,k[0]]*k[0]-F[124,x,1])
F[124,x,k[0]] = F[125,x,k[0]]
F[125,x,k[0]] = F[65,x,k[0]]*F[8,x]*F[98,x]
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]*F[8,x]
F[128,x,k[0]] = F[109,x,k[0]]
F[129,x,k[0]] = k[0]*F[110,x,k[0]]
F[130,x,k[0]] = F[8,x]*F[80,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]
F[132,x,k[0]] = k[0]*F[133,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]+F[197,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]+F[184,x,k[0]]
F[135,x,k[0]] = F[136,x]*F[192,x,k[0]]
F[136,x] = F[137,x]+F[166,x]
F[137,x] = F[138,x]+F[8,x]
F[138,x] = F[139,x]+F[165,x]+F[23,x]
F[139,x] = F[140,x]*F[8,x]
F[140,x] = F[141,x]+F[151,x]
F[141,x] = F[142,x]+F[8,x]
F[142,x] = F[143,x]+F[150,x]+F[23,x]
F[143,x] = F[144,x]*F[8,x]
F[144,x] = F[145,x]+F[146,x]
F[145,x] = F[8,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]+F[150,x]+F[23,x]
F[148,x] = F[149,x]*F[8,x]
F[149,x] = F[147,x]+F[8,x]
F[150,x] = F[100,x]*F[8,x]
F[151,x] = F[138,x]+F[152,x]
F[152,x] = F[153,x]+F[154,x]+F[161,x]+F[23,x]
F[153,x] = 0
F[154,x] = F[155,x]*F[8,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[138,x]
F[157,x] = F[158,x]
F[158,x] = F[153,x]+F[159,x]+F[161,x]+F[23,x]
F[159,x] = F[160,x]*F[8,x]
F[160,x] = F[138,x]+F[158,x]
F[161,x] = F[162,x]*F[8,x]
F[162,x] = F[139,x]+F[163,x]+F[23,x]
F[163,x] = F[164,x]*F[8,x]
F[164,x] = F[162,x]+F[6,x]
F[165,x] = F[6,x]*F[8,x]
F[166,x] = 1/F[99,x]*F[167,x]
F[167,x] = -F[182,x]+F[168,x]
F[168,x] = F[169,x]+F[177,x]
F[169,x] = F[137,x]*F[170,x]
F[170,x] = F[171,x]+F[173,x]
F[171,x] = F[172,x]
F[172,x] = F[8,x]*F[98,x]
F[173,x] = F[174,x]+F[175,x]+F[23,x]
F[174,x] = F[170,x]*F[8,x]
F[175,x] = F[176,x]*F[8,x]
F[176,x] = F[100,x]+F[173,x]
F[177,x] = -F[181,x]+F[178,x]
F[178,x] = F[179,x]
F[179,x] = F[180,x]*F[69,x]*F[8,x]
F[180,x] = F[176,x]+F[98,x]
F[181,x] = F[137,x]*F[180,x]
F[182,x] = F[183,x,1]
F[183,x,k[0]] = k[0]*F[184,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]+F[186,x,k[0]]+F[23,x]
F[185,x,k[0]] = F[184,x,k[0]]*F[97,x,k[0]]
F[186,x,k[0]] = F[187,x,k[0]]
F[187,x,k[0]] = F[136,x]*F[188,x,k[0]]*F[8,x]
F[188,x,k[0]] = F[189,x,k[0]]+F[98,x]
F[189,x,k[0]] = F[190,x,k[0]]+F[193,x,k[0]]
F[190,x,k[0]] = F[191,x,k[0]]
F[191,x,k[0]] = F[192,x,k[0]]*F[97,x,k[0]]
F[192,x,k[0]] = F[1,x]+F[190,x,k[0]]
F[193,x,k[0]] = F[194,x,k[0]]+F[196,x,k[0]]+F[23,x]
F[194,x,k[0]] = F[195,x,k[0]]*F[97,x,k[0]]
F[195,x,k[0]] = F[171,x]+F[193,x,k[0]]
F[196,x,k[0]] = F[189,x,k[0]]*F[8,x]
F[197,x,k[0]] = F[198,x,k[0]]+F[201,x,k[0]]+F[202,x,k[0]]+F[23,x]
F[198,x,k[0]] = F[199,x,k[0]]*F[8,x]
F[199,x,k[0]] = F[200,x,k[0]]
F[200,x,k[0]] = F[188,x,k[0]]*F[72,x]*F[8,x]
F[201,x,k[0]] = F[197,x,k[0]]*F[97,x,k[0]]
F[202,x,k[0]] = F[203,x,k[0]]
F[203,x,k[0]] = F[197,x,k[0]]*F[8,x]
F[204,x] = F[205,x]
F[205,x] = F[68,x]*F[8,x]*F[98,x]
F[206,x,k[0]] = F[207,x,k[0]]+F[209,x,k[0]]+F[210,x,k[0]]
F[207,x,k[0]] = F[208,x,k[0]]
F[208,x,k[0]] = F[66,x,k[0]]*F[97,x,k[0]]
F[209,x,k[0]] = F[206,x,k[0]]*F[8,x]
F[210,x,k[0]] = F[211,x,k[0]]
F[211,x,k[0]] = F[212,x,k[0]]*F[8,x]
F[212,x,k[0]] = F[213,x,k[0]]+F[225,x,k[0]]
F[214,x,k[0]] = F[213,x,k[0]]+F[224,x,k[0]]
F[215,x,k[0]] = F[214,x,k[0]]*F[8,x]
F[215,x,k[0]] = F[216,x,k[0]]
F[216,x,k[0]] = F[217,x,k[0]]*F[8,x]
F[217,x,k[0]] = F[218,x,k[0]]+F[219,x,k[0]]
F[218,x,k[0]] = -k[0]*(F[206,x,1]-F[206,x,k[0]])/(-1+k[0])
F[220,x,k[0]] = F[219,x,k[0]]+F[223,x,k[0]]
F[221,x,k[0]] = F[220,x,k[0]]*F[8,x]
F[221,x,k[0]] = F[222,x,k[0]]
F[222,x,k[0]] = (F[63,x,k[0]]-F[63,x,1])/(-1+k[0])
F[223,x,k[0]] = (F[67,x,k[0]]*k[0]-F[67,x,1])/(-1+k[0])
F[224,x,k[0]] = F[219,x,k[0]]
F[226,x,k[0]] = F[178,x]+F[225,x,k[0]]
F[226,x,k[0]] = F[227,x,k[0]]+F[332,x,k[0]]+F[333,x,k[0]]
F[227,x,k[0]] = F[136,x]+F[228,x,k[0]]
F[228,x,k[0]] = F[229,x,k[0]]+F[23,x]+F[316,x,k[0]]+F[330,x,k[0]]+F[331,x,k[0]]
F[229,x,k[0]] = F[230,x,k[0]]*F[8,x]
F[230,x,k[0]] = k[0]*F[231,x]
F[231,x] = 1/F[8,x]*F[232,x]
F[232,x] = -F[23,x]-F[312,x]-F[313,x]-F[315,x]+F[233,x]
F[233,x] = -F[136,x]+F[234,x]
F[234,x] = F[235,x]
F[235,x] = -F[309,x]+F[236,x]
F[236,x] = F[237,x]+F[308,x]
F[237,x] = -F[279,x]+F[238,x]
F[238,x] = F[239,x,1]
F[239,x,k[0]] = F[240,x,k[0]]+F[85,x,k[0]]
F[240,x,k[0]] = F[241,x,k[0]]
F[241,x,k[0]] = F[242,x,k[0]]*F[8,x]
F[242,x,k[0]] = F[243,x,k[0]]+F[276,x,k[0]]
F[244,x,k[0]] = F[243,x,k[0]]*F[97,x,k[0]]
F[245,x,k[0]] = F[244,x,k[0]]+F[261,x]+F[263,x,k[0]]+F[267,x,k[0]]
F[245,x,k[0]] = F[246,x,k[0]]+F[247,x,k[0]]
F[76,x,k[0]] = F[133,x,k[0]]+F[246,x,k[0]]
F[248,x,k[0]] = F[247,x,k[0]]+F[257,x,k[0]]
F[249,x,k[0]] = F[248,x,k[0]]+F[256,x,k[0]]
F[250,x,k[0]] = F[249,x,k[0]]+F[253,x,k[0]]
F[251,x,k[0]] = F[250,x,k[0]]*F[8,x]
F[251,x,k[0]] = F[252,x,k[0]]
F[252,x,k[0]] = (F[63,x,k[0]]-F[63,x,1])/(-1+k[0])
F[253,x,k[0]] = F[254,x]
F[254,x] = F[255,x,1]
F[255,x,k[0]] = k[0]*F[124,x,k[0]]
F[256,x,k[0]] = k[0]*F[199,x,k[0]]
F[258,x,k[0]] = F[257,x,k[0]]+F[260,x,k[0]]
F[259,x,k[0]] = F[258,x,k[0]]*F[97,x,k[0]]
F[259,x,k[0]] = F[63,x,k[0]]
F[260,x,k[0]] = k[0]*F[134,x,k[0]]
F[261,x] = F[262,x,1]
F[262,x,k[0]] = F[207,x,k[0]]+F[4,x]
F[263,x,k[0]] = F[264,x,k[0]]
F[264,x,k[0]] = F[265,x,k[0]]*F[8,x]
F[265,x,k[0]] = F[248,x,k[0]]+F[266,x,k[0]]
F[266,x,k[0]] = F[94,x]
F[267,x,k[0]] = F[268,x,k[0]]
F[268,x,k[0]] = F[269,x,k[0]]*F[8,x]
F[269,x,k[0]] = (F[270,x,k[0]]*k[0]-F[270,x,1])/(-1+k[0])
F[270,x,k[0]] = F[245,x,k[0]]+F[271,x,k[0]]
F[271,x,k[0]] = F[197,x,k[0]]+F[272,x,k[0]]
F[272,x,k[0]] = F[234,x]+F[273,x,k[0]]+F[274,x,k[0]]
F[273,x,k[0]] = F[272,x,k[0]]*F[97,x,k[0]]
F[274,x,k[0]] = F[275,x,k[0]]
F[275,x,k[0]] = F[188,x,k[0]]*F[234,x]*F[8,x]
F[276,x,k[0]] = F[277,x,k[0]]+F[278,x,k[0]]
F[277,x,k[0]] = k[0]*F[272,x,k[0]]
F[278,x,k[0]] = k[0]*F[197,x,k[0]]
F[279,x] = F[280,x,1]
F[281,x,k[0]] = -k[0]*(F[280,x,1]-F[280,x,k[0]])/(-1+k[0])
F[282,x,k[0]] = F[238,x]+F[281,x,k[0]]
F[282,x,k[0]] = (F[283,x,k[0]]*k[0]-F[283,x,1])/(-1+k[0])
F[284,x,k[0]] = F[283,x,k[0]]+F[306,x,k[0]]
F[284,x,k[0]] = F[239,x,k[0]]+F[285,x,k[0]]
F[285,x,k[0]] = F[286,x,k[0]]
F[286,x,k[0]] = F[287,x,k[0]]
F[287,x,k[0]] = F[288,x,k[0]]*F[8,x]
F[289,x,k[0]] = F[288,x,k[0]]*F[97,x,k[0]]
F[289,x,k[0]] = F[290,x,k[0]]
F[291,x,k[0]] = F[290,x,k[0]]+F[305,x]
F[291,x,k[0]] = F[292,x,k[0]]+F[293,x,k[0]]
F[292,x,k[0]] = F[4,x]+F[81,x,k[0]]
F[293,x,k[0]] = F[23,x]+F[294,x,k[0]]+F[296,x,k[0]]+F[302,x,k[0]]+F[303,x,k[0]]
F[294,x,k[0]] = F[295,x,k[0]]*F[8,x]
F[295,x,k[0]] = F[252,x,k[0]]
F[296,x,k[0]] = F[297,x,k[0]]*F[8,x]
F[297,x,k[0]] = F[298,x,k[0]]+F[300,x,k[0]]
F[298,x,k[0]] = F[261,x]+F[299,x,k[0]]
F[299,x,k[0]] = k[0]*F[234,x]
F[300,x,k[0]] = F[301,x]
F[301,x] = F[63,x,1]
F[302,x,k[0]] = F[240,x,k[0]]*F[97,x,k[0]]
F[303,x,k[0]] = F[304,x,k[0]]*F[8,x]
F[304,x,k[0]] = (F[293,x,k[0]]*k[0]-F[293,x,1])/(-1+k[0])
F[305,x] = F[301,x]+F[4,x]
F[306,x,k[0]] = F[307,x,k[0]]
F[307,x,k[0]] = k[0]*F[286,x,k[0]]
F[308,x] = F[301,x]
F[309,x] = F[310,x,1]
F[310,x,k[0]] = F[262,x,k[0]]+F[311,x,k[0]]
F[311,x,k[0]] = k[0]*F[114,x,k[0]]
F[312,x] = F[234,x]*F[8,x]
F[313,x] = F[314,x]*F[8,x]
F[314,x] = F[207,x,1]
F[315,x] = F[316,x,1]
F[316,x,k[0]] = F[317,x,k[0]]*F[8,x]
F[318,x,k[0]] = F[317,x,k[0]]+F[327,x]
F[318,x,k[0]] = F[319,x,k[0]]
F[320,x,k[0]] = F[319,x,k[0]]+F[62,x,k[0]]
F[321,x,k[0]] = F[320,x,k[0]]*F[8,x]
F[62,x,k[0]] = F[1,x]+F[321,x,k[0]]+F[322,x,k[0]]+F[326,x,k[0]]
F[322,x,k[0]] = F[323,x,k[0]]*F[8,x]
F[323,x,k[0]] = F[305,x]+F[324,x,k[0]]
F[324,x,k[0]] = k[0]*F[325,x]
F[325,x] = F[301,x]
F[326,x,k[0]] = F[310,x,k[0]]*F[97,x,k[0]]
F[327,x] = 1/F[8,x]*F[328,x]
F[328,x] = -F[23,x]-F[329,x]-F[48,x]+F[166,x]
F[329,x] = F[44,x]*F[8,x]
F[330,x,k[0]] = F[227,x,k[0]]*F[97,x,k[0]]
F[331,x,k[0]] = F[207,x,k[0]]*F[8,x]
F[332,x,k[0]] = F[226,x,k[0]]*F[8,x]
F[333,x,k[0]] = F[334,x,k[0]]
F[334,x,k[0]] = F[180,x]*F[227,x,k[0]]*F[8,x]
F[335,x,k[0]] = F[336,x,k[0]]
F[336,x,k[0]] = F[67,x,k[0]]*F[8,x]*F[98,x]
F[337,x,k[0]] = F[298,x,k[0]]*F[8,x]
F[338,x,k[0]] = F[239,x,k[0]]*F[97,x,k[0]]
F[339,x,k[0]] = F[340,x,k[0]]*F[8,x]
F[340,x,k[0]] = (F[58,x,k[0]]*k[0]-F[58,x,1])/(-1+k[0])
F[341,x] = F[47,x]
F[342,x] = F[343,x]*F[8,x]
F[343,x] = F[293,x,1]
F[344,x] = F[345,x]*F[8,x]
F[345,x] = F[292,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_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{4}\! \left(x \right) = F_{44}\! \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_{21}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \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_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{8}\! \left(x \right)
F_{15}\! \left(x \right) = F_{11}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{8}\! \left(x \right)
F_{20}\! \left(x \right) = F_{16}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{6}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)+F_{40}\! \left(x \right)
F_{23}\! \left(x \right) = 0
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{8}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{29}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{8}\! \left(x \right)
F_{27}\! \left(x \right) = F_{17}\! \left(x \right)+F_{23}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{11}\! \left(x \right) F_{8}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{32}\! \left(x \right)
F_{30}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{6}\! \left(x \right) F_{8}\! \left(x \right)
F_{32}\! \left(x \right) = F_{23}\! \left(x \right)+F_{33}\! \left(x \right)+F_{34}\! \left(x \right)+F_{39}\! \left(x \right)
F_{33}\! \left(x \right) = 0
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{8}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{30}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{34}\! \left(x \right)
F_{39}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right) F_{8}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{43}\! \left(x \right)
F_{42}\! \left(x \right) = F_{30}\! \left(x \right)+F_{6}\! \left(x \right)
F_{43}\! \left(x \right) = F_{22}\! \left(x \right)+F_{38}\! \left(x \right)
F_{44}\! \left(x \right) = F_{23}\! \left(x \right)+F_{344}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right) F_{8}\! \left(x \right)
F_{46}\! \left(x \right) = F_{44}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{23}\! \left(x \right)+F_{342}\! \left(x \right)+F_{48}\! \left(x \right)+F_{50}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right) F_{8}\! \left(x \right)
F_{49}\! \left(x \right) = F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right) F_{8}\! \left(x \right)
F_{51}\! \left(x \right) = F_{341}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{23}\! \left(x \right)+F_{53}\! \left(x \right)+F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right) F_{8}\! \left(x \right)
F_{54}\! \left(x \right) = F_{46}\! \left(x \right)+F_{49}\! \left(x \right)
F_{55}\! \left(x \right) = F_{52}\! \left(x \right) F_{8}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right) F_{8}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x , 1\right)
F_{58}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{337}\! \left(x , y\right)+F_{338}\! \left(x , y\right)+F_{339}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{60}\! \left(x , y\right) = F_{295}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = -\frac{-F_{62}\! \left(x , y\right) y +F_{62}\! \left(x , 1\right)}{-1+y}
F_{62}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{335}\! \left(x , y\right)+F_{66}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{206}\! \left(x , y\right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{204}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{4}\! \left(x \right)+F_{70}\! \left(x \right)+F_{73}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right) F_{8}\! \left(x \right)
F_{72}\! \left(x \right) = F_{65}\! \left(x , 1\right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right) F_{8}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x , 1\right)
F_{77}\! \left(x , y\right) = -\frac{-F_{76}\! \left(x , y\right) y +F_{76}\! \left(x , 1\right)}{-1+y}
F_{78}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{78}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = -\frac{y \left(F_{81}\! \left(x , 1\right)-F_{81}\! \left(x , y\right)\right)}{-1+y}
F_{81}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{23}\! \left(x \right)+F_{82}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{8}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = -\frac{y \left(F_{63}\! \left(x , 1\right)-F_{63}\! \left(x , y\right)\right)}{-1+y}
F_{84}\! \left(x , y\right) = F_{85}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{86}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{8}\! \left(x \right) F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)+F_{94}\! \left(x \right)
F_{93}\! \left(x , y\right) = -\frac{-F_{66}\! \left(x , y\right) y +F_{66}\! \left(x , 1\right)}{-1+y}
F_{94}\! \left(x \right) = F_{95}\! \left(x , 1\right)
F_{95}\! \left(x , y\right) = F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{65}\! \left(x , y\right) F_{97}\! \left(x , y\right) F_{98}\! \left(x \right)
F_{97}\! \left(x , y\right) = y x
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{1}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{8}\! \left(x \right) F_{99}\! \left(x \right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{105}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{107}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{105}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = y F_{109}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{121}\! \left(x , y\right)+F_{126}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{116}\! \left(x , y\right)+F_{117}\! \left(x , y\right)+F_{118}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = -\frac{-y F_{114}\! \left(x , y\right)+F_{114}\! \left(x , 1\right)}{-1+y}
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{65}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{8}\! \left(x \right) F_{86}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = -\frac{F_{81}\! \left(x , 1\right)-F_{81}\! \left(x , y\right)}{-1+y}
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = -\frac{-y F_{124}\! \left(x , y\right)+F_{124}\! \left(x , 1\right)}{-1+y}
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{65}\! \left(x , y\right) F_{8}\! \left(x \right) F_{98}\! \left(x \right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{128}\! \left(x , y\right) = F_{109}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = y F_{110}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{8}\! \left(x \right) F_{80}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = y F_{133}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)+F_{197}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{184}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x \right) F_{192}\! \left(x , y\right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{166}\! \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_{165}\! \left(x \right)+F_{23}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{8}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{151}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{8}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{150}\! \left(x \right)+F_{23}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{8}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{146}\! \left(x \right)
F_{145}\! \left(x \right) = F_{8}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{150}\! \left(x \right)+F_{23}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{8}\! \left(x \right)
F_{149}\! \left(x \right) = F_{147}\! \left(x \right)+F_{8}\! \left(x \right)
F_{150}\! \left(x \right) = F_{100}\! \left(x \right) F_{8}\! \left(x \right)
F_{151}\! \left(x \right) = F_{138}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)+F_{161}\! \left(x \right)+F_{23}\! \left(x \right)
F_{153}\! \left(x \right) = 0
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{8}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{138}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{153}\! \left(x \right)+F_{159}\! \left(x \right)+F_{161}\! \left(x \right)+F_{23}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{8}\! \left(x \right)
F_{160}\! \left(x \right) = F_{138}\! \left(x \right)+F_{158}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{8}\! \left(x \right)
F_{162}\! \left(x \right) = F_{139}\! \left(x \right)+F_{163}\! \left(x \right)+F_{23}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{8}\! \left(x \right)
F_{164}\! \left(x \right) = F_{162}\! \left(x \right)+F_{6}\! \left(x \right)
F_{165}\! \left(x \right) = F_{6}\! \left(x \right) F_{8}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{99}\! \left(x \right)}
F_{167}\! \left(x \right) = -F_{182}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{177}\! \left(x \right)
F_{169}\! \left(x \right) = F_{137}\! \left(x \right) F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{173}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{8}\! \left(x \right) F_{98}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{175}\! \left(x \right)+F_{23}\! \left(x \right)
F_{174}\! \left(x \right) = F_{170}\! \left(x \right) F_{8}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{8}\! \left(x \right)
F_{176}\! \left(x \right) = F_{100}\! \left(x \right)+F_{173}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{181}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{69}\! \left(x \right) F_{8}\! \left(x \right)
F_{180}\! \left(x \right) = F_{176}\! \left(x \right)+F_{98}\! \left(x \right)
F_{181}\! \left(x \right) = F_{137}\! \left(x \right) F_{180}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x , 1\right)
F_{183}\! \left(x , y\right) = y F_{184}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{186}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{185}\! \left(x , y\right) = F_{184}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{187}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{136}\! \left(x \right) F_{188}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{188}\! \left(x , y\right) = F_{189}\! \left(x , y\right)+F_{98}\! \left(x \right)
F_{189}\! \left(x , y\right) = F_{190}\! \left(x , y\right)+F_{193}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{191}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{192}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{192}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{190}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)+F_{196}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{171}\! \left(x \right)+F_{193}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{189}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{197}\! \left(x , y\right) = F_{198}\! \left(x , y\right)+F_{201}\! \left(x , y\right)+F_{202}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{199}\! \left(x , y\right) = F_{200}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{188}\! \left(x , y\right) F_{72}\! \left(x \right) F_{8}\! \left(x \right)
F_{201}\! \left(x , y\right) = F_{197}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{203}\! \left(x , y\right)
F_{203}\! \left(x , y\right) = F_{197}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{68}\! \left(x \right) F_{8}\! \left(x \right) F_{98}\! \left(x \right)
F_{206}\! \left(x , y\right) = F_{207}\! \left(x , y\right)+F_{209}\! \left(x , y\right)+F_{210}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{208}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{66}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = F_{206}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{210}\! \left(x , y\right) = F_{211}\! \left(x , y\right)
F_{211}\! \left(x , y\right) = F_{212}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{212}\! \left(x , y\right) = F_{213}\! \left(x , y\right)+F_{225}\! \left(x , y\right)
F_{214}\! \left(x , y\right) = F_{213}\! \left(x , y\right)+F_{224}\! \left(x , y\right)
F_{215}\! \left(x , y\right) = F_{214}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{215}\! \left(x , y\right) = F_{216}\! \left(x , y\right)
F_{216}\! \left(x , y\right) = F_{217}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{217}\! \left(x , y\right) = F_{218}\! \left(x , y\right)+F_{219}\! \left(x , y\right)
F_{218}\! \left(x , y\right) = -\frac{y \left(F_{206}\! \left(x , 1\right)-F_{206}\! \left(x , y\right)\right)}{-1+y}
F_{220}\! \left(x , y\right) = F_{219}\! \left(x , y\right)+F_{223}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{220}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{221}\! \left(x , y\right) = F_{222}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = -\frac{F_{63}\! \left(x , 1\right)-F_{63}\! \left(x , y\right)}{-1+y}
F_{223}\! \left(x , y\right) = -\frac{-F_{67}\! \left(x , y\right) y +F_{67}\! \left(x , 1\right)}{-1+y}
F_{224}\! \left(x , y\right) = F_{219}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{178}\! \left(x \right)+F_{225}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{227}\! \left(x , y\right)+F_{332}\! \left(x , y\right)+F_{333}\! \left(x , y\right)
F_{227}\! \left(x , y\right) = F_{136}\! \left(x \right)+F_{228}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{229}\! \left(x , y\right)+F_{23}\! \left(x \right)+F_{316}\! \left(x , y\right)+F_{330}\! \left(x , y\right)+F_{331}\! \left(x , y\right)
F_{229}\! \left(x , y\right) = F_{230}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{230}\! \left(x , y\right) = y F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = \frac{F_{232}\! \left(x \right)}{F_{8}\! \left(x \right)}
F_{232}\! \left(x \right) = -F_{23}\! \left(x \right)-F_{312}\! \left(x \right)-F_{313}\! \left(x \right)-F_{315}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = -F_{309}\! \left(x \right)+F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{308}\! \left(x \right)
F_{237}\! \left(x \right) = -F_{279}\! \left(x \right)+F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x , 1\right)
F_{239}\! \left(x , y\right) = F_{240}\! \left(x , y\right)+F_{85}\! \left(x , y\right)
F_{240}\! \left(x , y\right) = F_{241}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{242}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{242}\! \left(x , y\right) = F_{243}\! \left(x , y\right)+F_{276}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{243}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{244}\! \left(x , y\right)+F_{261}\! \left(x \right)+F_{263}\! \left(x , y\right)+F_{267}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{246}\! \left(x , y\right)+F_{247}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{246}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{247}\! \left(x , y\right)+F_{257}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{248}\! \left(x , y\right)+F_{256}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{249}\! \left(x , y\right)+F_{253}\! \left(x , y\right)
F_{251}\! \left(x , y\right) = F_{250}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{251}\! \left(x , y\right) = F_{252}\! \left(x , y\right)
F_{252}\! \left(x , y\right) = -\frac{F_{63}\! \left(x , 1\right)-F_{63}\! \left(x , y\right)}{-1+y}
F_{253}\! \left(x , y\right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x , 1\right)
F_{255}\! \left(x , y\right) = y F_{124}\! \left(x , y\right)
F_{256}\! \left(x , y\right) = y F_{199}\! \left(x , y\right)
F_{258}\! \left(x , y\right) = F_{257}\! \left(x , y\right)+F_{260}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = F_{258}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{260}\! \left(x , y\right) = y F_{134}\! \left(x , y\right)
F_{261}\! \left(x \right) = F_{262}\! \left(x , 1\right)
F_{262}\! \left(x , y\right) = F_{207}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{263}\! \left(x , y\right) = F_{264}\! \left(x , y\right)
F_{264}\! \left(x , y\right) = F_{265}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{265}\! \left(x , y\right) = F_{248}\! \left(x , y\right)+F_{266}\! \left(x , y\right)
F_{266}\! \left(x , y\right) = F_{94}\! \left(x \right)
F_{267}\! \left(x , y\right) = F_{268}\! \left(x , y\right)
F_{268}\! \left(x , y\right) = F_{269}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{269}\! \left(x , y\right) = -\frac{-F_{270}\! \left(x , y\right) y +F_{270}\! \left(x , 1\right)}{-1+y}
F_{270}\! \left(x , y\right) = F_{245}\! \left(x , y\right)+F_{271}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{197}\! \left(x , y\right)+F_{272}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{234}\! \left(x \right)+F_{273}\! \left(x , y\right)+F_{274}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{272}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{274}\! \left(x , y\right) = F_{275}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{188}\! \left(x , y\right) F_{234}\! \left(x \right) F_{8}\! \left(x \right)
F_{276}\! \left(x , y\right) = F_{277}\! \left(x , y\right)+F_{278}\! \left(x , y\right)
F_{277}\! \left(x , y\right) = y F_{272}\! \left(x , y\right)
F_{278}\! \left(x , y\right) = y F_{197}\! \left(x , y\right)
F_{279}\! \left(x \right) = F_{280}\! \left(x , 1\right)
F_{281}\! \left(x , y\right) = -\frac{y \left(F_{280}\! \left(x , 1\right)-F_{280}\! \left(x , y\right)\right)}{-1+y}
F_{282}\! \left(x , y\right) = F_{238}\! \left(x \right)+F_{281}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = -\frac{-y F_{283}\! \left(x , y\right)+F_{283}\! \left(x , 1\right)}{-1+y}
F_{284}\! \left(x , y\right) = F_{283}\! \left(x , y\right)+F_{306}\! \left(x , y\right)
F_{284}\! \left(x , y\right) = F_{239}\! \left(x , y\right)+F_{285}\! \left(x , y\right)
F_{285}\! \left(x , y\right) = F_{286}\! \left(x , y\right)
F_{286}\! \left(x , y\right) = F_{287}\! \left(x , y\right)
F_{287}\! \left(x , y\right) = F_{288}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{289}\! \left(x , y\right) = F_{288}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{290}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{290}\! \left(x , y\right)+F_{305}\! \left(x \right)
F_{291}\! \left(x , y\right) = F_{292}\! \left(x , y\right)+F_{293}\! \left(x , y\right)
F_{292}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{81}\! \left(x , y\right)
F_{293}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{294}\! \left(x , y\right)+F_{296}\! \left(x , y\right)+F_{302}\! \left(x , y\right)+F_{303}\! \left(x , y\right)
F_{294}\! \left(x , y\right) = F_{295}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{295}\! \left(x , y\right) = F_{252}\! \left(x , y\right)
F_{296}\! \left(x , y\right) = F_{297}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{297}\! \left(x , y\right) = F_{298}\! \left(x , y\right)+F_{300}\! \left(x , y\right)
F_{298}\! \left(x , y\right) = F_{261}\! \left(x \right)+F_{299}\! \left(x , y\right)
F_{299}\! \left(x , y\right) = y F_{234}\! \left(x \right)
F_{300}\! \left(x , y\right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{63}\! \left(x , 1\right)
F_{302}\! \left(x , y\right) = F_{240}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{304}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{304}\! \left(x , y\right) = -\frac{-F_{293}\! \left(x , y\right) y +F_{293}\! \left(x , 1\right)}{-1+y}
F_{305}\! \left(x \right) = F_{301}\! \left(x \right)+F_{4}\! \left(x \right)
F_{306}\! \left(x , y\right) = F_{307}\! \left(x , y\right)
F_{307}\! \left(x , y\right) = y F_{286}\! \left(x , y\right)
F_{308}\! \left(x \right) = F_{301}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x , 1\right)
F_{310}\! \left(x , y\right) = F_{262}\! \left(x , y\right)+F_{311}\! \left(x , y\right)
F_{311}\! \left(x , y\right) = y F_{114}\! \left(x , y\right)
F_{312}\! \left(x \right) = F_{234}\! \left(x \right) F_{8}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right) F_{8}\! \left(x \right)
F_{314}\! \left(x \right) = F_{207}\! \left(x , 1\right)
F_{315}\! \left(x \right) = F_{316}\! \left(x , 1\right)
F_{316}\! \left(x , y\right) = F_{317}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{318}\! \left(x , y\right) = F_{317}\! \left(x , y\right)+F_{327}\! \left(x \right)
F_{318}\! \left(x , y\right) = F_{319}\! \left(x , y\right)
F_{320}\! \left(x , y\right) = F_{319}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{320}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{62}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{321}\! \left(x , y\right)+F_{322}\! \left(x , y\right)+F_{326}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = F_{323}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{323}\! \left(x , y\right) = F_{305}\! \left(x \right)+F_{324}\! \left(x , y\right)
F_{324}\! \left(x , y\right) = y F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{301}\! \left(x \right)
F_{326}\! \left(x , y\right) = F_{310}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{327}\! \left(x \right) = \frac{F_{328}\! \left(x \right)}{F_{8}\! \left(x \right)}
F_{328}\! \left(x \right) = -F_{23}\! \left(x \right)-F_{329}\! \left(x \right)-F_{48}\! \left(x \right)+F_{166}\! \left(x \right)
F_{329}\! \left(x \right) = F_{44}\! \left(x \right) F_{8}\! \left(x \right)
F_{330}\! \left(x , y\right) = F_{227}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{331}\! \left(x , y\right) = F_{207}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{332}\! \left(x , y\right) = F_{226}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{333}\! \left(x , y\right) = F_{334}\! \left(x , y\right)
F_{334}\! \left(x , y\right) = F_{180}\! \left(x \right) F_{227}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{335}\! \left(x , y\right) = F_{336}\! \left(x , y\right)
F_{336}\! \left(x , y\right) = F_{67}\! \left(x , y\right) F_{8}\! \left(x \right) F_{98}\! \left(x \right)
F_{337}\! \left(x , y\right) = F_{298}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{338}\! \left(x , y\right) = F_{239}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{339}\! \left(x , y\right) = F_{340}\! \left(x , y\right) F_{8}\! \left(x \right)
F_{340}\! \left(x , y\right) = -\frac{-y F_{58}\! \left(x , y\right)+F_{58}\! \left(x , 1\right)}{-1+y}
F_{341}\! \left(x \right) = F_{47}\! \left(x \right)
F_{342}\! \left(x \right) = F_{343}\! \left(x \right) F_{8}\! \left(x \right)
F_{343}\! \left(x \right) = F_{293}\! \left(x , 1\right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right) F_{8}\! \left(x \right)
F_{345}\! \left(x \right) = F_{292}\! \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_4(x)*F_8(x))
Eq(F_4(x), F_44(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_21(x))
Eq(F_10(x), F_1(x) + F_11(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_15(x))
Eq(F_14(x), F_1(x) + F_8(x))
Eq(F_15(x), F_11(x) + F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_8(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_8(x))
Eq(F_20(x), F_16(x))
Eq(F_21(x), F_22(x) + F_6(x))
Eq(F_22(x), F_23(x) + F_24(x) + F_40(x))
Eq(F_23(x), 0)
Eq(F_24(x), F_25(x)*F_8(x))
Eq(F_25(x), F_26(x) + F_29(x))
Eq(F_26(x), F_27(x) + F_8(x))
Eq(F_27(x), F_17(x) + F_23(x) + F_28(x))
Eq(F_28(x), F_11(x)*F_8(x))
Eq(F_29(x), F_30(x) + F_32(x))
Eq(F_30(x), F_23(x) + F_24(x) + F_31(x))
Eq(F_31(x), F_6(x)*F_8(x))
Eq(F_32(x), F_23(x) + F_33(x) + F_34(x) + F_39(x))
Eq(F_33(x), 0)
Eq(F_34(x), F_35(x)*F_8(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_30(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_34(x))
Eq(F_39(x), F_22(x)*F_8(x))
Eq(F_40(x), F_41(x)*F_8(x))
Eq(F_41(x), F_42(x) + F_43(x))
Eq(F_42(x), F_30(x) + F_6(x))
Eq(F_43(x), F_22(x) + F_38(x))
Eq(F_44(x), F_23(x) + F_344(x) + F_45(x))
Eq(F_45(x), F_46(x)*F_8(x))
Eq(F_46(x), F_44(x) + F_47(x))
Eq(F_47(x), F_23(x) + F_342(x) + F_48(x) + F_50(x))
Eq(F_48(x), F_49(x)*F_8(x))
Eq(F_49(x), F_47(x))
Eq(F_50(x), F_51(x)*F_8(x))
Eq(F_51(x), F_341(x) + F_52(x))
Eq(F_52(x), F_23(x) + F_53(x) + F_55(x) + F_56(x))
Eq(F_53(x), F_54(x)*F_8(x))
Eq(F_54(x), F_46(x) + F_49(x))
Eq(F_55(x), F_52(x)*F_8(x))
Eq(F_56(x), F_57(x)*F_8(x))
Eq(F_57(x), F_58(x, 1))
Eq(F_58(x, k_0), F_1(x) + F_337(x, k_0) + F_338(x, k_0) + F_339(x, k_0) + F_59(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0)*F_8(x))
Eq(F_60(x, k_0), F_295(x, k_0) + F_61(x, k_0))
Eq(F_61(x, k_0), (k_0*F_62(x, k_0) - F_62(x, 1))/(k_0 - 1))
Eq(F_62(x, k_0), F_4(x) + F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0)*F_97(x, k_0))
Eq(F_65(x, k_0), F_66(x, k_0) + F_95(x, k_0))
Eq(F_67(x, k_0), F_335(x, k_0) + F_66(x, k_0))
Eq(F_67(x, k_0), F_206(x, k_0) + F_68(x))
Eq(F_68(x), F_204(x) + F_69(x))
Eq(F_69(x), F_4(x) + F_70(x) + F_73(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_72(x)*F_8(x))
Eq(F_72(x), F_65(x, 1))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_75(x)*F_8(x))
Eq(F_75(x), F_76(x, 1))
Eq(F_77(x, k_0), (-k_0*F_76(x, k_0) + F_76(x, 1))/(1 - k_0))
Eq(F_78(x, k_0), F_131(x, k_0) + F_77(x, k_0))
Eq(F_79(x, k_0), F_78(x, k_0)*F_97(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), -F_81(x, 1) + (-k_0*F_81(x, k_0) + F_81(x, 1))/(1 - k_0))
Eq(F_81(x, k_0), F_130(x, k_0) + F_23(x) + F_82(x, k_0) + F_84(x, k_0))
Eq(F_82(x, k_0), F_8(x)*F_83(x, k_0))
Eq(F_83(x, k_0), -F_63(x, 1) + (k_0*F_63(x, k_0) - F_63(x, 1))/(k_0 - 1))
Eq(F_84(x, k_0), F_85(x, k_0)*F_97(x, k_0))
Eq(F_85(x, k_0), F_129(x, k_0) + F_86(x, k_0))
Eq(F_86(x, k_0), F_4(x) + F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0)*F_97(x, k_0))
Eq(F_89(x, k_0), F_102(x, k_0) + F_86(x, k_0) + F_90(x, k_0))
Eq(F_90(x, k_0), F_91(x, k_0))
Eq(F_91(x, k_0), F_8(x)*F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0) + F_94(x))
Eq(F_93(x, k_0), (k_0*F_66(x, k_0) - F_66(x, 1))/(k_0 - 1))
Eq(F_94(x), F_95(x, 1))
Eq(F_95(x, k_0), F_96(x, k_0))
Eq(F_96(x, k_0), F_65(x, k_0)*F_97(x, k_0)*F_98(x))
Eq(F_97(x, k_0), k_0*x)
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_1(x) + F_100(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_8(x)*F_99(x))
Eq(F_102(x, k_0), F_103(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0)*F_8(x))
Eq(F_105(x, k_0), F_104(x, k_0) + F_107(x, k_0))
Eq(F_106(x, k_0), F_105(x, k_0)*F_97(x, k_0))
Eq(F_106(x, k_0), F_80(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0))
Eq(F_108(x, k_0), k_0*F_109(x, k_0))
Eq(F_109(x, k_0), F_110(x, k_0) + F_121(x, k_0) + F_126(x, k_0))
Eq(F_110(x, k_0), F_111(x, k_0) + F_116(x, k_0) + F_117(x, k_0) + F_118(x, k_0) + F_23(x))
Eq(F_111(x, k_0), F_112(x, k_0)*F_8(x))
Eq(F_112(x, k_0), F_113(x, k_0))
Eq(F_113(x, k_0), (k_0*F_114(x, k_0) - F_114(x, 1))/(k_0 - 1))
Eq(F_114(x, k_0), F_115(x, k_0))
Eq(F_115(x, k_0), F_65(x, k_0)*F_8(x))
Eq(F_116(x, k_0), F_110(x, k_0)*F_97(x, k_0))
Eq(F_117(x, k_0), F_8(x)*F_86(x, k_0))
Eq(F_118(x, k_0), F_119(x, k_0)*F_8(x))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_120(x, k_0), -F_81(x, k_0) + (-k_0*F_81(x, k_0) + F_81(x, 1))/(1 - k_0))
Eq(F_121(x, k_0), F_122(x, k_0)*F_8(x))
Eq(F_122(x, k_0), F_123(x, k_0))
Eq(F_123(x, k_0), (k_0*F_124(x, k_0) - F_124(x, 1))/(k_0 - 1))
Eq(F_124(x, k_0), F_125(x, k_0))
Eq(F_125(x, k_0), F_65(x, k_0)*F_8(x)*F_98(x))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0)*F_8(x))
Eq(F_128(x, k_0), F_109(x, k_0))
Eq(F_129(x, k_0), k_0*F_110(x, k_0))
Eq(F_130(x, k_0), F_8(x)*F_80(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0))
Eq(F_132(x, k_0), k_0*F_133(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0) + F_197(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0) + F_184(x, k_0))
Eq(F_135(x, k_0), F_136(x)*F_192(x, k_0))
Eq(F_136(x), F_137(x) + F_166(x))
Eq(F_137(x), F_138(x) + F_8(x))
Eq(F_138(x), F_139(x) + F_165(x) + F_23(x))
Eq(F_139(x), F_140(x)*F_8(x))
Eq(F_140(x), F_141(x) + F_151(x))
Eq(F_141(x), F_142(x) + F_8(x))
Eq(F_142(x), F_143(x) + F_150(x) + F_23(x))
Eq(F_143(x), F_144(x)*F_8(x))
Eq(F_144(x), F_145(x) + F_146(x))
Eq(F_145(x), F_8(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x) + F_150(x) + F_23(x))
Eq(F_148(x), F_149(x)*F_8(x))
Eq(F_149(x), F_147(x) + F_8(x))
Eq(F_150(x), F_100(x)*F_8(x))
Eq(F_151(x), F_138(x) + F_152(x))
Eq(F_152(x), F_153(x) + F_154(x) + F_161(x) + F_23(x))
Eq(F_153(x), 0)
Eq(F_154(x), F_155(x)*F_8(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_138(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_153(x) + F_159(x) + F_161(x) + F_23(x))
Eq(F_159(x), F_160(x)*F_8(x))
Eq(F_160(x), F_138(x) + F_158(x))
Eq(F_161(x), F_162(x)*F_8(x))
Eq(F_162(x), F_139(x) + F_163(x) + F_23(x))
Eq(F_163(x), F_164(x)*F_8(x))
Eq(F_164(x), F_162(x) + F_6(x))
Eq(F_165(x), F_6(x)*F_8(x))
Eq(F_166(x), F_167(x)/F_99(x))
Eq(F_167(x), F_168(x) - F_182(x))
Eq(F_168(x), F_169(x) + F_177(x))
Eq(F_169(x), F_137(x)*F_170(x))
Eq(F_170(x), F_171(x) + F_173(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_8(x)*F_98(x))
Eq(F_173(x), F_174(x) + F_175(x) + F_23(x))
Eq(F_174(x), F_170(x)*F_8(x))
Eq(F_175(x), F_176(x)*F_8(x))
Eq(F_176(x), F_100(x) + F_173(x))
Eq(F_177(x), F_178(x) - F_181(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_180(x)*F_69(x)*F_8(x))
Eq(F_180(x), F_176(x) + F_98(x))
Eq(F_181(x), F_137(x)*F_180(x))
Eq(F_182(x), F_183(x, 1))
Eq(F_183(x, k_0), k_0*F_184(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0) + F_186(x, k_0) + F_23(x))
Eq(F_185(x, k_0), F_184(x, k_0)*F_97(x, k_0))
Eq(F_186(x, k_0), F_187(x, k_0))
Eq(F_187(x, k_0), F_136(x)*F_188(x, k_0)*F_8(x))
Eq(F_188(x, k_0), F_189(x, k_0) + F_98(x))
Eq(F_189(x, k_0), F_190(x, k_0) + F_193(x, k_0))
Eq(F_190(x, k_0), F_191(x, k_0))
Eq(F_191(x, k_0), F_192(x, k_0)*F_97(x, k_0))
Eq(F_192(x, k_0), F_1(x) + F_190(x, k_0))
Eq(F_193(x, k_0), F_194(x, k_0) + F_196(x, k_0) + F_23(x))
Eq(F_194(x, k_0), F_195(x, k_0)*F_97(x, k_0))
Eq(F_195(x, k_0), F_171(x) + F_193(x, k_0))
Eq(F_196(x, k_0), F_189(x, k_0)*F_8(x))
Eq(F_197(x, k_0), F_198(x, k_0) + F_201(x, k_0) + F_202(x, k_0) + F_23(x))
Eq(F_198(x, k_0), F_199(x, k_0)*F_8(x))
Eq(F_199(x, k_0), F_200(x, k_0))
Eq(F_200(x, k_0), F_188(x, k_0)*F_72(x)*F_8(x))
Eq(F_201(x, k_0), F_197(x, k_0)*F_97(x, k_0))
Eq(F_202(x, k_0), F_203(x, k_0))
Eq(F_203(x, k_0), F_197(x, k_0)*F_8(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_68(x)*F_8(x)*F_98(x))
Eq(F_206(x, k_0), F_207(x, k_0) + F_209(x, k_0) + F_210(x, k_0))
Eq(F_207(x, k_0), F_208(x, k_0))
Eq(F_208(x, k_0), F_66(x, k_0)*F_97(x, k_0))
Eq(F_209(x, k_0), F_206(x, k_0)*F_8(x))
Eq(F_210(x, k_0), F_211(x, k_0))
Eq(F_211(x, k_0), F_212(x, k_0)*F_8(x))
Eq(F_212(x, k_0), F_213(x, k_0) + F_225(x, k_0))
Eq(F_214(x, k_0), F_213(x, k_0) + F_224(x, k_0))
Eq(F_215(x, k_0), F_214(x, k_0)*F_8(x))
Eq(F_215(x, k_0), F_216(x, k_0))
Eq(F_216(x, k_0), F_217(x, k_0)*F_8(x))
Eq(F_217(x, k_0), F_218(x, k_0) + F_219(x, k_0))
Eq(F_218(x, k_0), -F_206(x, 1) + (-k_0*F_206(x, k_0) + F_206(x, 1))/(1 - k_0))
Eq(F_220(x, k_0), F_219(x, k_0) + F_223(x, k_0))
Eq(F_221(x, k_0), F_220(x, k_0)*F_8(x))
Eq(F_221(x, k_0), F_222(x, k_0))
Eq(F_222(x, k_0), -F_63(x, k_0) + (-k_0*F_63(x, k_0) + F_63(x, 1))/(1 - k_0))
Eq(F_223(x, k_0), (-k_0*F_67(x, k_0) + F_67(x, 1))/(1 - k_0))
Eq(F_224(x, k_0), F_219(x, k_0))
Eq(F_226(x, k_0), F_178(x) + F_225(x, k_0))
Eq(F_226(x, k_0), F_227(x, k_0) + F_332(x, k_0) + F_333(x, k_0))
Eq(F_227(x, k_0), F_136(x) + F_228(x, k_0))
Eq(F_228(x, k_0), F_229(x, k_0) + F_23(x) + F_316(x, k_0) + F_330(x, k_0) + F_331(x, k_0))
Eq(F_229(x, k_0), F_230(x, k_0)*F_8(x))
Eq(F_230(x, k_0), k_0*F_231(x))
Eq(F_231(x), F_232(x)/F_8(x))
Eq(F_232(x), -F_23(x) + F_233(x) - F_312(x) - F_313(x) - F_315(x))
Eq(F_233(x), -F_136(x) + F_234(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_236(x) - F_309(x))
Eq(F_236(x), F_237(x) + F_308(x))
Eq(F_237(x), F_238(x) - F_279(x))
Eq(F_238(x), F_239(x, 1))
Eq(F_239(x, k_0), F_240(x, k_0) + F_85(x, k_0))
Eq(F_240(x, k_0), F_241(x, k_0))
Eq(F_241(x, k_0), F_242(x, k_0)*F_8(x))
Eq(F_242(x, k_0), F_243(x, k_0) + F_276(x, k_0))
Eq(F_244(x, k_0), F_243(x, k_0)*F_97(x, k_0))
Eq(F_245(x, k_0), F_244(x, k_0) + F_261(x) + F_263(x, k_0) + F_267(x, k_0))
Eq(F_245(x, k_0), F_246(x, k_0) + F_247(x, k_0))
Eq(F_76(x, k_0), F_133(x, k_0) + F_246(x, k_0))
Eq(F_248(x, k_0), F_247(x, k_0) + F_257(x, k_0))
Eq(F_249(x, k_0), F_248(x, k_0) + F_256(x, k_0))
Eq(F_250(x, k_0), F_249(x, k_0) + F_253(x, k_0))
Eq(F_251(x, k_0), F_250(x, k_0)*F_8(x))
Eq(F_251(x, k_0), F_252(x, k_0))
Eq(F_252(x, k_0), -F_63(x, k_0) + (k_0*F_63(x, k_0) - F_63(x, 1))/(k_0 - 1))
Eq(F_253(x, k_0), F_254(x))
Eq(F_254(x), F_255(x, 1))
Eq(F_255(x, k_0), k_0*F_124(x, k_0))
Eq(F_256(x, k_0), k_0*F_199(x, k_0))
Eq(F_258(x, k_0), F_257(x, k_0) + F_260(x, k_0))
Eq(F_259(x, k_0), F_258(x, k_0)*F_97(x, k_0))
Eq(F_259(x, k_0), F_63(x, k_0))
Eq(F_260(x, k_0), k_0*F_134(x, k_0))
Eq(F_261(x), F_262(x, 1))
Eq(F_262(x, k_0), F_207(x, k_0) + F_4(x))
Eq(F_263(x, k_0), F_264(x, k_0))
Eq(F_264(x, k_0), F_265(x, k_0)*F_8(x))
Eq(F_265(x, k_0), F_248(x, k_0) + F_266(x, k_0))
Eq(F_266(x, k_0), F_94(x))
Eq(F_267(x, k_0), F_268(x, k_0))
Eq(F_268(x, k_0), F_269(x, k_0)*F_8(x))
Eq(F_269(x, k_0), (-k_0*F_270(x, k_0) + F_270(x, 1))/(1 - k_0))
Eq(F_270(x, k_0), F_245(x, k_0) + F_271(x, k_0))
Eq(F_271(x, k_0), F_197(x, k_0) + F_272(x, k_0))
Eq(F_272(x, k_0), F_234(x) + F_273(x, k_0) + F_274(x, k_0))
Eq(F_273(x, k_0), F_272(x, k_0)*F_97(x, k_0))
Eq(F_274(x, k_0), F_275(x, k_0))
Eq(F_275(x, k_0), F_188(x, k_0)*F_234(x)*F_8(x))
Eq(F_276(x, k_0), F_277(x, k_0) + F_278(x, k_0))
Eq(F_277(x, k_0), k_0*F_272(x, k_0))
Eq(F_278(x, k_0), k_0*F_197(x, k_0))
Eq(F_279(x), F_280(x, 1))
Eq(F_281(x, k_0), -F_280(x, 1) + (-k_0*F_280(x, k_0) + F_280(x, 1))/(1 - k_0))
Eq(F_282(x, k_0), F_238(x) + F_281(x, k_0))
Eq(F_282(x, k_0), (-k_0*F_283(x, k_0) + F_283(x, 1))/(1 - k_0))
Eq(F_284(x, k_0), F_283(x, k_0) + F_306(x, k_0))
Eq(F_284(x, k_0), F_239(x, k_0) + F_285(x, k_0))
Eq(F_285(x, k_0), F_286(x, k_0))
Eq(F_286(x, k_0), F_287(x, k_0))
Eq(F_287(x, k_0), F_288(x, k_0)*F_8(x))
Eq(F_289(x, k_0), F_288(x, k_0)*F_97(x, k_0))
Eq(F_289(x, k_0), F_290(x, k_0))
Eq(F_291(x, k_0), F_290(x, k_0) + F_305(x))
Eq(F_291(x, k_0), F_292(x, k_0) + F_293(x, k_0))
Eq(F_292(x, k_0), F_4(x) + F_81(x, k_0))
Eq(F_293(x, k_0), F_23(x) + F_294(x, k_0) + F_296(x, k_0) + F_302(x, k_0) + F_303(x, k_0))
Eq(F_294(x, k_0), F_295(x, k_0)*F_8(x))
Eq(F_295(x, k_0), F_252(x, k_0))
Eq(F_296(x, k_0), F_297(x, k_0)*F_8(x))
Eq(F_297(x, k_0), F_298(x, k_0) + F_300(x, k_0))
Eq(F_298(x, k_0), F_261(x) + F_299(x, k_0))
Eq(F_299(x, k_0), k_0*F_234(x))
Eq(F_300(x, k_0), F_301(x))
Eq(F_301(x), F_63(x, 1))
Eq(F_302(x, k_0), F_240(x, k_0)*F_97(x, k_0))
Eq(F_303(x, k_0), F_304(x, k_0)*F_8(x))
Eq(F_304(x, k_0), (-k_0*F_293(x, k_0) + F_293(x, 1))/(1 - k_0))
Eq(F_305(x), F_301(x) + F_4(x))
Eq(F_306(x, k_0), F_307(x, k_0))
Eq(F_307(x, k_0), k_0*F_286(x, k_0))
Eq(F_308(x), F_301(x))
Eq(F_309(x), F_310(x, 1))
Eq(F_310(x, k_0), F_262(x, k_0) + F_311(x, k_0))
Eq(F_311(x, k_0), k_0*F_114(x, k_0))
Eq(F_312(x), F_234(x)*F_8(x))
Eq(F_313(x), F_314(x)*F_8(x))
Eq(F_314(x), F_207(x, 1))
Eq(F_315(x), F_316(x, 1))
Eq(F_316(x, k_0), F_317(x, k_0)*F_8(x))
Eq(F_318(x, k_0), F_317(x, k_0) + F_327(x))
Eq(F_318(x, k_0), F_319(x, k_0))
Eq(F_320(x, k_0), F_319(x, k_0) + F_62(x, k_0))
Eq(F_321(x, k_0), F_320(x, k_0)*F_8(x))
Eq(F_62(x, k_0), F_1(x) + F_321(x, k_0) + F_322(x, k_0) + F_326(x, k_0))
Eq(F_322(x, k_0), F_323(x, k_0)*F_8(x))
Eq(F_323(x, k_0), F_305(x) + F_324(x, k_0))
Eq(F_324(x, k_0), k_0*F_325(x))
Eq(F_325(x), F_301(x))
Eq(F_326(x, k_0), F_310(x, k_0)*F_97(x, k_0))
Eq(F_327(x), F_328(x)/F_8(x))
Eq(F_328(x), F_166(x) - F_23(x) - F_329(x) - F_48(x))
Eq(F_329(x), F_44(x)*F_8(x))
Eq(F_330(x, k_0), F_227(x, k_0)*F_97(x, k_0))
Eq(F_331(x, k_0), F_207(x, k_0)*F_8(x))
Eq(F_332(x, k_0), F_226(x, k_0)*F_8(x))
Eq(F_333(x, k_0), F_334(x, k_0))
Eq(F_334(x, k_0), F_180(x)*F_227(x, k_0)*F_8(x))
Eq(F_335(x, k_0), F_336(x, k_0))
Eq(F_336(x, k_0), F_67(x, k_0)*F_8(x)*F_98(x))
Eq(F_337(x, k_0), F_298(x, k_0)*F_8(x))
Eq(F_338(x, k_0), F_239(x, k_0)*F_97(x, k_0))
Eq(F_339(x, k_0), F_340(x, k_0)*F_8(x))
Eq(F_340(x, k_0), (-k_0*F_58(x, k_0) + F_58(x, 1))/(1 - k_0))
Eq(F_341(x), F_47(x))
Eq(F_342(x), F_343(x)*F_8(x))
Eq(F_343(x), F_293(x, 1))
Eq(F_344(x), F_345(x)*F_8(x))
Eq(F_345(x), F_292(x, 1))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]]}], "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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, {"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": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 1], [2, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 1], [3, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[3, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 1], [2, 1], [4, 1], [4, 1]]}, 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0], "pos": [[1, 2], [1, 4], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 4]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 4], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 4], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 4]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 4], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 3]]}], [{"patt": [0], "pos": [[1, 4]]}]], "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": [[3, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"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], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"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, 1], [4, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[3, 1]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24475/
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[10,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[10,x]*F[7,x]
F[7,x] = F[278,x]+F[4,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[11,x]
F[10,x] = x
F[11,x] = F[12,x]+F[276,x]
F[12,x] = F[13,x]+F[275,x]
F[13,x] = F[14,x]+F[270,x]+F[273,x]
F[14,x] = F[1,x]+F[15,x]+F[267,x]
F[15,x] = F[10,x]*F[16,x]
F[16,x] = F[17,x,1]
F[17,x,k[0]] = F[18,x,k[0]]+F[4,x]
F[19,x,k[0]] = (F[18,x,k[0]]-F[18,x,1])/(-1+k[0])
F[19,x,k[0]] = F[20,x,k[0]]
F[20,x,k[0]] = (F[21,x,k[0]]*k[0]-F[21,x,1])/(-1+k[0])
F[21,x,k[0]] = F[22,x]+F[23,x,k[0]]
F[22,x] = F[6,x]
F[23,x,k[0]] = F[24,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]*F[38,x,k[0]]
F[25,x,k[0]] = F[148,x,k[0]]+F[26,x,k[0]]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[113,x,k[0]]+F[28,x]
F[28,x] = -F[112,x]+F[29,x]
F[29,x] = F[30,x]+F[39,x]
F[30,x] = F[31,x,1]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[10,x]*F[33,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]+F[7,x]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]*F[38,x,k[0]]
F[37,x,k[0]] = F[10,x]*F[36,x,k[0]]
F[37,x,k[0]] = F[27,x,k[0]]
F[38,x,k[0]] = k[0]*x
F[39,x] = F[40,x,1]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = F[10,x]*F[42,x,k[0]]
F[42,x,k[0]] = 4*F[43,x]+F[44,x,k[0]]+F[46,x,k[0]]
F[43,x] = 0
F[44,x,k[0]] = F[10,x]*F[45,x,k[0]]
F[45,x,k[0]] = 1/(-1+k[0])*(F[42,x,k[0]]*k[0]-F[42,x,1])
F[46,x,k[0]] = F[10,x]*F[47,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]+F[88,x,k[0]]
F[49,x,k[0]] = F[38,x,k[0]]*F[48,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]
F[51,x,k[0]] = F[38,x,k[0]]*F[52,x,k[0]]
F[53,x,k[0]] = F[52,x,k[0]]+F[64,x,k[0]]
F[54,x,k[0]] = F[38,x,k[0]]*F[53,x,k[0]]
F[54,x,k[0]] = F[55,x,k[0]]
F[55,x,k[0]] = F[43,x]+F[56,x,k[0]]+F[58,x,k[0]]+F[60,x,k[0]]
F[56,x,k[0]] = F[10,x]*F[57,x,k[0]]
F[57,x,k[0]] = -k[0]*(-F[18,x,k[0]]+F[18,x,1])/(-1+k[0])
F[58,x,k[0]] = F[10,x]*F[59,x,k[0]]
F[59,x,k[0]] = -k[0]*(F[55,x,1]-F[55,x,k[0]])/(-1+k[0])
F[60,x,k[0]] = F[38,x,k[0]]*F[61,x,k[0]]
F[61,x,k[0]] = F[62,x,1,k[0]]
F[62,x,k[0],k[1]] = (F[63,x,k[0]*k[1]]*k[0]-F[63,x,k[1]])/(-1+k[0])
F[63,x,k[0]] = F[14,x]+F[50,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]
F[65,x,k[0]] = F[38,x,k[0]]*F[66,x,k[0]]
F[66,x,k[0]] = F[67,x,1,k[0]]
F[67,x,k[0],k[1]] = (F[68,x,k[0]*k[1]]*k[0]-F[68,x,k[1]])/(-1+k[0])
F[69,x,k[0]] = F[10,x]*F[68,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]
F[71,x,k[0]] = F[53,x,k[0]]+F[70,x,k[0]]
F[72,x,k[0]] = F[38,x,k[0]]*F[71,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]
F[73,x,k[0]] = F[43,x]+F[60,x,k[0]]+F[74,x,k[0]]+F[85,x,k[0]]+F[87,x,k[0]]
F[74,x,k[0]] = F[10,x]*F[75,x,k[0]]
F[75,x,k[0]] = -k[0]*(F[76,x,1]-F[76,x,k[0]])/(-1+k[0])
F[76,x,k[0]] = F[77,x,k[0]]
F[77,x,k[0]] = F[38,x,k[0]]*F[78,x,k[0]]
F[78,x,k[0]] = F[26,x,k[0]]+F[79,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]+F[84,x,k[0]]
F[80,x,k[0]] = F[7,x]+F[81,x,k[0]]
F[82,x,k[0]] = F[33,x,k[0]]+F[81,x,k[0]]
F[83,x,k[0]] = F[38,x,k[0]]*F[82,x,k[0]]
F[83,x,k[0]] = F[18,x,k[0]]
F[84,x,k[0]] = k[0]*F[27,x,k[0]]
F[85,x,k[0]] = F[10,x]*F[86,x,k[0]]
F[86,x,k[0]] = -k[0]*(F[73,x,1]-F[73,x,k[0]])/(-1+k[0])
F[87,x,k[0]] = F[10,x]*F[50,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]
F[89,x,k[0]] = (F[90,x,k[0]]-F[90,x,1])/(-1+k[0])
F[91,x,k[0]] = F[13,x]+F[90,x,k[0]]
F[92,x,k[0]] = F[10,x]*F[91,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[94,x,k[0]] = F[93,x,k[0]]+F[99,x,k[0]]
F[95,x,k[0]] = F[38,x,k[0]]*F[94,x,k[0]]
F[95,x,k[0]] = F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[38,x,k[0]]*F[98,x,k[0]]
F[98,x,k[0]] = F[100,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[0,x]+F[96,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]
F[101,x,k[0]] = F[10,x]*F[102,x,k[0]]
F[103,x,k[0]] = F[102,x,k[0]]+F[105,x,k[0]]
F[104,x,k[0]] = F[103,x,k[0]]*F[38,x,k[0]]
F[104,x,k[0]] = F[18,x,k[0]]
F[105,x,k[0]] = k[0]*F[106,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]
F[107,x,k[0]] = F[10,x]*F[108,x,k[0]]
F[108,x,k[0]] = F[109,x,1,k[0]]
F[109,x,k[0],k[1]] = (F[110,x,k[0]*k[1]]*k[0]-F[110,x,k[1]])/(-1+k[0])
F[111,x,k[0]] = F[110,x,k[0]]*F[38,x,k[0]]
F[111,x,k[0]] = F[34,x,k[0]]
F[112,x] = F[113,x,1]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[38,x,k[0]]
F[116,x,k[0]] = F[10,x]*F[115,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]+F[147,x,k[0]]+F[43,x]
F[118,x,k[0]] = F[10,x]*F[119,x,k[0]]
F[119,x,k[0]] = 1/(-1+k[0])*(F[120,x,k[0]]*k[0]-F[120,x,1])
F[120,x,k[0]] = 2*F[43,x]+F[121,x,k[0]]+F[122,x,k[0]]
F[121,x,k[0]] = F[10,x]*F[119,x,k[0]]
F[122,x,k[0]] = F[10,x]*F[123,x,k[0]]
F[124,x,k[0]] = 1/(-1+k[0])*(F[123,x,k[0]]*k[0]-F[123,x,1])
F[125,x,k[0]] = F[10,x]*F[124,x,k[0]]
F[126,x,k[0]] = F[125,x,k[0]]+F[146,x,k[0]]+F[43,x]
F[127,x,k[0]] = F[126,x,k[0]]*F[38,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]
F[128,x,k[0]] = F[10,x]*F[129,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]+F[143,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]*F[38,x,k[0]]
F[132,x,k[0]] = F[129,x,k[0]]+F[133,x]
F[133,x] = F[134,x]+F[140,x]
F[134,x] = F[1,x]+F[135,x]+F[137,x]
F[135,x] = F[10,x]*F[136,x]
F[136,x] = F[63,x,1]
F[137,x] = F[10,x]*F[138,x]
F[138,x] = F[139,x,1]
F[139,x,k[0]] = F[130,x,k[0]]+F[134,x]
F[140,x] = F[141,x]
F[141,x] = F[10,x]*F[142,x]
F[142,x] = F[48,x,1]
F[143,x,k[0]] = F[144,x,k[0]]
F[144,x,k[0]] = F[10,x]*F[145,x,k[0]]
F[145,x,k[0]] = -k[0]*(-F[90,x,k[0]]+F[90,x,1])/(-1+k[0])
F[146,x,k[0]] = F[10,x]*F[132,x,k[0]]
F[147,x,k[0]] = F[10,x]*F[27,x,k[0]]
F[148,x,k[0]] = F[149,x,k[0]]+F[266,x,k[0]]
F[149,x,k[0]] = F[150,x]+F[180,x,k[0]]
F[150,x] = -F[257,x]+F[151,x]
F[151,x] = F[152,x,1]
F[153,x,k[0]] = F[152,x,k[0]]+F[264,x,k[0]]
F[154,x,k[0]] = F[153,x,k[0]]+F[259,x,k[0]]
F[155,x,k[0]] = F[10,x]*F[154,x,k[0]]
F[155,x,k[0]] = F[156,x,k[0]]
F[156,x,k[0]] = F[157,x]+F[258,x,k[0]]
F[157,x] = F[158,x]
F[158,x] = F[159,x]+F[22,x]
F[159,x] = F[160,x]
F[160,x] = F[10,x]*F[161,x]
F[161,x] = F[162,x]+F[29,x]
F[162,x] = F[163,x]+F[257,x]
F[163,x] = F[164,x]+F[251,x]
F[164,x] = F[165,x]+F[196,x]
F[165,x] = -F[177,x]+F[166,x]
F[166,x] = F[167,x,1]
F[167,x,k[0]] = k[0]*F[168,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]
F[169,x,k[0]] = F[10,x]*F[170,x,k[0]]
F[171,x,k[0]] = F[170,x,k[0]]*F[38,x,k[0]]
F[171,x,k[0]] = F[172,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]+F[174,x,k[0]]+F[43,x]
F[173,x,k[0]] = F[10,x]*F[81,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]*F[38,x,k[0]]
F[175,x,k[0]] = F[176,x,1,k[0]]
F[176,x,k[0],k[1]] = (F[94,x,k[0]*k[1]]*k[0]-F[94,x,k[1]])/(-1+k[0])
F[177,x] = F[178,x,1]
F[178,x,k[0]] = F[179,x,k[0]]+F[187,x,k[0]]+F[43,x]
F[179,x,k[0]] = F[10,x]*F[180,x,k[0]]
F[180,x,k[0]] = F[181,x,k[0]]+F[186,x,k[0]]+F[43,x]
F[181,x,k[0]] = F[10,x]*F[182,x,k[0]]
F[182,x,k[0]] = -k[0]*(F[183,x,1]-F[183,x,k[0]])/(-1+k[0])
F[184,x,k[0]] = F[10,x]*F[183,x,k[0]]
F[178,x,k[0]] = F[184,x,k[0]]+F[185,x,k[0]]+F[43,x]
F[185,x,k[0]] = F[10,x]*F[172,x,k[0]]
F[186,x,k[0]] = F[10,x]*F[81,x,k[0]]
F[168,x,k[0]] = F[187,x,k[0]]+F[188,x,k[0]]+F[190,x,k[0]]
F[188,x,k[0]] = F[189,x,k[0]]
F[189,x,k[0]] = F[10,x]*F[94,x,k[0]]
F[190,x,k[0]] = F[10,x]*F[191,x,k[0]]
F[192,x,k[0]] = F[191,x,k[0]]+F[195,x,k[0]]
F[193,x,k[0]] = F[192,x,k[0]]*F[38,x,k[0]]
F[193,x,k[0]] = F[194,x,k[0]]
F[194,x,k[0]] = F[18,x,k[0]]+F[23,x,k[0]]
F[195,x,k[0]] = F[27,x,k[0]]+F[82,x,k[0]]
F[196,x] = F[197,x]
F[197,x] = F[198,x,1]
F[199,x,k[0]] = F[198,x,k[0]]+F[202,x]
F[200,x,k[0]] = F[199,x,k[0]]+F[248,x,k[0]]
F[200,x,k[0]] = F[201,x]+F[240,x,k[0]]
F[201,x] = F[202,x]+F[218,x]
F[202,x] = F[203,x]+F[208,x]+F[43,x]
F[203,x] = F[204,x]
F[204,x] = F[205,x,1]
F[205,x,k[0]] = F[10,x]*F[206,x,k[0]]
F[206,x,k[0]] = F[207,x,k[0]]
F[207,x,k[0]] = F[38,x,k[0]]*F[68,x,k[0]]
F[208,x] = F[10,x]*F[209,x]
F[209,x] = F[210,x,1]
F[210,x,k[0]] = F[199,x,k[0]]+F[211,x,k[0]]
F[211,x,k[0]] = F[212,x]+F[215,x,k[0]]
F[212,x] = F[0,x]+F[213,x]
F[213,x] = F[214,x]
F[214,x] = F[10,x]*F[13,x]
F[215,x,k[0]] = F[216,x,k[0]]+F[96,x,k[0]]
F[216,x,k[0]] = F[217,x,k[0]]
F[217,x,k[0]] = F[10,x]*F[34,x,k[0]]
F[218,x] = F[219,x]
F[219,x] = F[10,x]*F[220,x]
F[220,x] = F[221,x]+F[239,x]
F[221,x] = F[222,x]*F[226,x]
F[222,x] = F[223,x]
F[223,x] = F[1,x]+F[224,x]
F[224,x] = F[225,x]
F[225,x] = F[10,x]*F[223,x]
F[226,x] = F[218,x]+F[227,x]
F[227,x] = F[228,x]+F[5,x]
F[228,x] = F[229,x,1]
F[229,x,k[0]] = F[230,x,k[0]]
F[230,x,k[0]] = F[10,x]*F[231,x,k[0]]
F[231,x,k[0]] = F[232,x,k[0]]+F[234,x,k[0]]+F[236,x,k[0]]+F[43,x]
F[232,x,k[0]] = F[10,x]*F[233,x,k[0]]
F[233,x,k[0]] = -k[0]*(F[81,x,1]-F[81,x,k[0]])/(-1+k[0])
F[234,x,k[0]] = F[10,x]*F[235,x,k[0]]
F[235,x,k[0]] = -k[0]*(F[231,x,1]-F[231,x,k[0]])/(-1+k[0])
F[236,x,k[0]] = F[237,x,k[0]]*F[38,x,k[0]]
F[237,x,k[0]] = F[238,x,1,k[0]]
F[238,x,k[0],k[1]] = (F[48,x,k[0]*k[1]]*k[0]-F[48,x,k[1]])/(-1+k[0])
F[239,x] = F[81,x,1]
F[34,x,k[0]] = F[240,x,k[0]]+F[241,x,k[0]]
F[241,x,k[0]] = F[215,x,k[0]]+F[242,x,k[0]]
F[242,x,k[0]] = F[243,x,k[0]]
F[243,x,k[0]] = F[227,x]*F[244,x,k[0]]
F[244,x,k[0]] = F[245,x,k[0]]
F[245,x,k[0]] = F[246,x,k[0]]
F[246,x,k[0]] = F[247,x,k[0]]*F[38,x,k[0]]
F[247,x,k[0]] = F[1,x]+F[245,x,k[0]]
F[248,x,k[0]] = F[249,x,k[0]]
F[249,x,k[0]] = F[218,x]*F[250,x,k[0]]
F[250,x,k[0]] = F[247,x,k[0]]
F[251,x] = 3*F[43,x]+F[252,x]+F[254,x]
F[252,x] = F[253,x]
F[253,x] = F[184,x,1]
F[254,x] = F[255,x]
F[255,x] = F[256,x,1]
F[256,x,k[0]] = F[226,x]*F[250,x,k[0]]*F[38,x,k[0]]
F[257,x] = F[180,x,1]
F[258,x,k[0]] = k[0]*F[159,x]
F[259,x,k[0]] = F[260,x]+F[262,x,k[0]]
F[260,x] = 1/F[10,x]*F[261,x]
F[261,x] = F[157,x]
F[262,x,k[0]] = F[263,x,k[0]]
F[263,x,k[0]] = k[0]*F[29,x]
F[264,x,k[0]] = k[0]*F[265,x]
F[265,x] = F[266,x,1]
F[266,x,k[0]] = k[0]*F[117,x,k[0]]
F[267,x] = F[10,x]*F[268,x]
F[268,x] = F[269,x,1]
F[269,x,k[0]] = F[14,x]+F[55,x,k[0]]
F[270,x] = F[271,x]
F[271,x] = F[10,x]*F[272,x]
F[272,x] = F[82,x,1]
F[273,x] = F[274,x]
F[274,x] = F[10,x]*F[11,x]
F[275,x] = F[231,x,1]
F[276,x] = F[277,x]
F[277,x] = F[206,x,1]
F[278,x] = F[279,x]
F[279,x] = F[10,x]*F[272,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_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{10}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{278}\! \left(x \right)+F_{4}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = x
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{276}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{275}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{270}\! \left(x \right)+F_{273}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)+F_{267}\! \left(x \right)
F_{15}\! \left(x \right) = F_{10}\! \left(x \right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x , 1\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{19}\! \left(x , y\right) = -\frac{-F_{18}\! \left(x , y\right)+F_{18}\! \left(x , 1\right)}{-1+y}
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = -\frac{-F_{21}\! \left(x , y\right) y +F_{21}\! \left(x , 1\right)}{-1+y}
F_{21}\! \left(x , y\right) = F_{22}\! \left(x \right)+F_{23}\! \left(x , y\right)
F_{22}\! \left(x \right) = F_{6}\! \left(x \right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{148}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{39}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x , 1\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)+F_{7}\! \left(x \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_{38}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{36}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = y x
F_{39}\! \left(x \right) = F_{40}\! \left(x , 1\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = 4 F_{43}\! \left(x \right)+F_{44}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{43}\! \left(x \right) = 0
F_{44}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = -\frac{-F_{42}\! \left(x , y\right) y +F_{42}\! \left(x , 1\right)}{-1+y}
F_{46}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{48}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{52}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{52}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{38}\! \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_{43}\! \left(x \right)+F_{56}\! \left(x , y\right)+F_{58}\! \left(x , y\right)+F_{60}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = -\frac{y \left(-F_{18}\! \left(x , y\right)+F_{18}\! \left(x , 1\right)\right)}{-1+y}
F_{58}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = -\frac{y \left(F_{55}\! \left(x , 1\right)-F_{55}\! \left(x , y\right)\right)}{-1+y}
F_{60}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , 1, y\right)
F_{62}\! \left(x , y , z\right) = -\frac{-F_{63}\! \left(x , y z \right) y +F_{63}\! \left(x , z\right)}{-1+y}
F_{63}\! \left(x , y\right) = F_{14}\! \left(x \right)+F_{50}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , 1, y\right)
F_{67}\! \left(x , y , z\right) = -\frac{-F_{68}\! \left(x , y z \right) y +F_{68}\! \left(x , z\right)}{-1+y}
F_{69}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{53}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{71}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{43}\! \left(x \right)+F_{60}\! \left(x , y\right)+F_{74}\! \left(x , y\right)+F_{85}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = -\frac{y \left(F_{76}\! \left(x , 1\right)-F_{76}\! \left(x , y\right)\right)}{-1+y}
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{7}\! \left(x \right)+F_{81}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{82}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = y F_{27}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = -\frac{y \left(F_{73}\! \left(x , 1\right)-F_{73}\! \left(x , y\right)\right)}{-1+y}
F_{87}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{50}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = -\frac{-F_{90}\! \left(x , y\right)+F_{90}\! \left(x , 1\right)}{-1+y}
F_{91}\! \left(x , y\right) = F_{13}\! \left(x \right)+F_{90}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{93}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{94}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{96}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{102}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{105}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{103}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = y F_{106}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{108}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , 1, y\right)
F_{109}\! \left(x , y , z\right) = -\frac{-F_{110}\! \left(x , y z \right) y +F_{110}\! \left(x , z\right)}{-1+y}
F_{111}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{112}\! \left(x \right) = F_{113}\! \left(x , 1\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{115}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{147}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{118}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{119}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = -\frac{-F_{120}\! \left(x , y\right) y +F_{120}\! \left(x , 1\right)}{-1+y}
F_{120}\! \left(x , y\right) = 2 F_{43}\! \left(x \right)+F_{121}\! \left(x , y\right)+F_{122}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{119}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{123}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = -\frac{-F_{123}\! \left(x , y\right) y +F_{123}\! \left(x , 1\right)}{-1+y}
F_{125}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{124}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{125}\! \left(x , y\right)+F_{146}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{127}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{143}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{140}\! \left(x \right)
F_{134}\! \left(x \right) = F_{1}\! \left(x \right)+F_{135}\! \left(x \right)+F_{137}\! \left(x \right)
F_{135}\! \left(x \right) = F_{10}\! \left(x \right) F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{63}\! \left(x , 1\right)
F_{137}\! \left(x \right) = F_{10}\! \left(x \right) F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x , 1\right)
F_{139}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{134}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{10}\! \left(x \right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{48}\! \left(x , 1\right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{145}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = -\frac{y \left(-F_{90}\! \left(x , y\right)+F_{90}\! \left(x , 1\right)\right)}{-1+y}
F_{146}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{132}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{27}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)+F_{266}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x \right)+F_{180}\! \left(x , y\right)
F_{150}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x , 1\right)
F_{153}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{264}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{259}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{154}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{156}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x \right)+F_{258}\! \left(x , y\right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{22}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{10}\! \left(x \right) F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{29}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{257}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{251}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{196}\! \left(x \right)
F_{165}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x , 1\right)
F_{167}\! \left(x , y\right) = y F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{170}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{170}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{174}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{173}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{81}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , 1, y\right)
F_{176}\! \left(x , y , z\right) = -\frac{-F_{94}\! \left(x , y z \right) y +F_{94}\! \left(x , z\right)}{-1+y}
F_{177}\! \left(x \right) = F_{178}\! \left(x , 1\right)
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{187}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{179}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{180}\! \left(x , y\right)
F_{180}\! \left(x , y\right) = F_{181}\! \left(x , y\right)+F_{186}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{181}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{182}\! \left(x , y\right)
F_{182}\! \left(x , y\right) = -\frac{y \left(F_{183}\! \left(x , 1\right)-F_{183}\! \left(x , y\right)\right)}{-1+y}
F_{184}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{183}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{184}\! \left(x , y\right)+F_{185}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{185}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{172}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{81}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{187}\! \left(x , y\right)+F_{188}\! \left(x , y\right)+F_{190}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{189}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{94}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{191}\! \left(x , y\right)
F_{192}\! \left(x , y\right) = F_{191}\! \left(x , y\right)+F_{195}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{192}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{23}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{27}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x , 1\right)
F_{199}\! \left(x , y\right) = F_{198}\! \left(x , y\right)+F_{202}\! \left(x \right)
F_{200}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{248}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x \right)+F_{240}\! \left(x , y\right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{218}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{208}\! \left(x \right)+F_{43}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x , 1\right)
F_{205}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{206}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{207}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{208}\! \left(x \right) = F_{10}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x , 1\right)
F_{210}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{211}\! \left(x , y\right)
F_{211}\! \left(x , y\right) = F_{212}\! \left(x \right)+F_{215}\! \left(x , y\right)
F_{212}\! \left(x \right) = F_{0}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{10}\! \left(x \right) F_{13}\! \left(x \right)
F_{215}\! \left(x , y\right) = F_{216}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{216}\! \left(x , y\right) = F_{217}\! \left(x , y\right)
F_{217}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{34}\! \left(x , y\right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{10}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{239}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{226}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{1}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{10}\! \left(x \right) F_{223}\! \left(x \right)
F_{226}\! \left(x \right) = F_{218}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{5}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x , 1\right)
F_{229}\! \left(x , y\right) = F_{230}\! \left(x , y\right)
F_{230}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{231}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right)+F_{234}\! \left(x , y\right)+F_{236}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{232}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{233}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = -\frac{y \left(F_{81}\! \left(x , 1\right)-F_{81}\! \left(x , y\right)\right)}{-1+y}
F_{234}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{235}\! \left(x , y\right)
F_{235}\! \left(x , y\right) = -\frac{y \left(F_{231}\! \left(x , 1\right)-F_{231}\! \left(x , y\right)\right)}{-1+y}
F_{236}\! \left(x , y\right) = F_{237}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = F_{238}\! \left(x , 1, y\right)
F_{238}\! \left(x , y , z\right) = -\frac{-F_{48}\! \left(x , y z \right) y +F_{48}\! \left(x , z\right)}{-1+y}
F_{239}\! \left(x \right) = F_{81}\! \left(x , 1\right)
F_{34}\! \left(x , y\right) = F_{240}\! \left(x , y\right)+F_{241}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{215}\! \left(x , y\right)+F_{242}\! \left(x , y\right)
F_{242}\! \left(x , y\right) = F_{243}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{227}\! \left(x \right) F_{244}\! \left(x , y\right)
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_{246}\! \left(x , y\right) = F_{247}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{245}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{249}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{218}\! \left(x \right) F_{250}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{247}\! \left(x , y\right)
F_{251}\! \left(x \right) = 3 F_{43}\! \left(x \right)+F_{252}\! \left(x \right)+F_{254}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{184}\! \left(x , 1\right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x , 1\right)
F_{256}\! \left(x , y\right) = F_{226}\! \left(x \right) F_{250}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{257}\! \left(x \right) = F_{180}\! \left(x , 1\right)
F_{258}\! \left(x , y\right) = y F_{159}\! \left(x \right)
F_{259}\! \left(x , y\right) = F_{260}\! \left(x \right)+F_{262}\! \left(x , y\right)
F_{260}\! \left(x \right) = \frac{F_{261}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{261}\! \left(x \right) = F_{157}\! \left(x \right)
F_{262}\! \left(x , y\right) = F_{263}\! \left(x , y\right)
F_{263}\! \left(x , y\right) = y F_{29}\! \left(x \right)
F_{264}\! \left(x , y\right) = y F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x , 1\right)
F_{266}\! \left(x , y\right) = y F_{117}\! \left(x , y\right)
F_{267}\! \left(x \right) = F_{10}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x , 1\right)
F_{269}\! \left(x , y\right) = F_{14}\! \left(x \right)+F_{55}\! \left(x , y\right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{10}\! \left(x \right) F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{82}\! \left(x , 1\right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{10}\! \left(x \right) F_{11}\! \left(x \right)
F_{275}\! \left(x \right) = F_{231}\! \left(x , 1\right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{206}\! \left(x , 1\right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{10}\! \left(x \right) F_{272}\! \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_10(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_10(x)*F_7(x))
Eq(F_7(x), F_278(x) + F_4(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_11(x))
Eq(F_10(x), x)
Eq(F_11(x), F_12(x) + F_276(x))
Eq(F_12(x), F_13(x) + F_275(x))
Eq(F_13(x), F_14(x) + F_270(x) + F_273(x))
Eq(F_14(x), F_1(x) + F_15(x) + F_267(x))
Eq(F_15(x), F_10(x)*F_16(x))
Eq(F_16(x), F_17(x, 1))
Eq(F_17(x, k_0), F_18(x, k_0) + F_4(x))
Eq(F_19(x, k_0), -F_18(x, k_0) + (-k_0*F_18(x, k_0) + F_18(x, 1))/(1 - k_0))
Eq(F_19(x, k_0), F_20(x, k_0))
Eq(F_20(x, k_0), (-k_0*F_21(x, k_0) + F_21(x, 1))/(1 - k_0))
Eq(F_21(x, k_0), F_22(x) + F_23(x, k_0))
Eq(F_22(x), F_6(x))
Eq(F_23(x, k_0), F_24(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0)*F_38(x, k_0))
Eq(F_25(x, k_0), F_148(x, k_0) + F_26(x, k_0))
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_113(x, k_0) + F_28(x))
Eq(F_28(x), -F_112(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_39(x))
Eq(F_30(x), F_31(x, 1))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_10(x)*F_33(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0) + F_7(x))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0)*F_38(x, k_0))
Eq(F_37(x, k_0), F_10(x)*F_36(x, k_0))
Eq(F_37(x, k_0), F_27(x, k_0))
Eq(F_38(x, k_0), k_0*x)
Eq(F_39(x), F_40(x, 1))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), F_10(x)*F_42(x, k_0))
Eq(F_42(x, k_0), 4*F_43(x) + F_44(x, k_0) + F_46(x, k_0))
Eq(F_43(x), 0)
Eq(F_44(x, k_0), F_10(x)*F_45(x, k_0))
Eq(F_45(x, k_0), (k_0*F_42(x, k_0) - F_42(x, 1))/(k_0 - 1))
Eq(F_46(x, k_0), F_10(x)*F_47(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0) + F_88(x, k_0))
Eq(F_49(x, k_0), F_38(x, k_0)*F_48(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0))
Eq(F_51(x, k_0), F_38(x, k_0)*F_52(x, k_0))
Eq(F_53(x, k_0), F_52(x, k_0) + F_64(x, k_0))
Eq(F_54(x, k_0), F_38(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_43(x) + F_56(x, k_0) + F_58(x, k_0) + F_60(x, k_0))
Eq(F_56(x, k_0), F_10(x)*F_57(x, k_0))
Eq(F_57(x, k_0), -F_18(x, 1) + (k_0*F_18(x, k_0) - F_18(x, 1))/(k_0 - 1))
Eq(F_58(x, k_0), F_10(x)*F_59(x, k_0))
Eq(F_59(x, k_0), -F_55(x, 1) + (k_0*F_55(x, k_0) - F_55(x, 1))/(k_0 - 1))
Eq(F_60(x, k_0), F_38(x, k_0)*F_61(x, k_0))
Eq(F_61(x, k_0), F_62(x, 1, k_0))
Eq(F_62(x, k_0, k_1), (-k_0*k_1*F_63(x, k_0*k_1) + k_1*F_63(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_63(x, k_0), F_14(x) + F_50(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0))
Eq(F_65(x, k_0), F_38(x, k_0)*F_66(x, k_0))
Eq(F_66(x, k_0), F_67(x, 1, k_0))
Eq(F_67(x, k_0, k_1), (-k_0*k_1*F_68(x, k_0*k_1) + k_1*F_68(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_69(x, k_0), F_10(x)*F_68(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_71(x, k_0), F_53(x, k_0) + F_70(x, k_0))
Eq(F_72(x, k_0), F_38(x, k_0)*F_71(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0))
Eq(F_73(x, k_0), F_43(x) + F_60(x, k_0) + F_74(x, k_0) + F_85(x, k_0) + F_87(x, k_0))
Eq(F_74(x, k_0), F_10(x)*F_75(x, k_0))
Eq(F_75(x, k_0), -F_76(x, 1) + (k_0*F_76(x, k_0) - F_76(x, 1))/(k_0 - 1))
Eq(F_76(x, k_0), F_77(x, k_0))
Eq(F_77(x, k_0), F_38(x, k_0)*F_78(x, k_0))
Eq(F_78(x, k_0), F_26(x, k_0) + F_79(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0) + F_84(x, k_0))
Eq(F_80(x, k_0), F_7(x) + F_81(x, k_0))
Eq(F_82(x, k_0), F_33(x, k_0) + F_81(x, k_0))
Eq(F_83(x, k_0), F_38(x, k_0)*F_82(x, k_0))
Eq(F_83(x, k_0), F_18(x, k_0))
Eq(F_84(x, k_0), k_0*F_27(x, k_0))
Eq(F_85(x, k_0), F_10(x)*F_86(x, k_0))
Eq(F_86(x, k_0), -F_73(x, 1) + (k_0*F_73(x, k_0) - F_73(x, 1))/(k_0 - 1))
Eq(F_87(x, k_0), F_10(x)*F_50(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0))
Eq(F_89(x, k_0), -F_90(x, k_0) + (-k_0*F_90(x, k_0) + F_90(x, 1))/(1 - k_0))
Eq(F_91(x, k_0), F_13(x) + F_90(x, k_0))
Eq(F_92(x, k_0), F_10(x)*F_91(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_94(x, k_0), F_93(x, k_0) + F_99(x, k_0))
Eq(F_95(x, k_0), F_38(x, k_0)*F_94(x, k_0))
Eq(F_95(x, k_0), F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_38(x, k_0)*F_98(x, k_0))
Eq(F_98(x, k_0), F_100(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_0(x) + F_96(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0))
Eq(F_101(x, k_0), F_10(x)*F_102(x, k_0))
Eq(F_103(x, k_0), F_102(x, k_0) + F_105(x, k_0))
Eq(F_104(x, k_0), F_103(x, k_0)*F_38(x, k_0))
Eq(F_104(x, k_0), F_18(x, k_0))
Eq(F_105(x, k_0), k_0*F_106(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0))
Eq(F_107(x, k_0), F_10(x)*F_108(x, k_0))
Eq(F_108(x, k_0), F_109(x, 1, k_0))
Eq(F_109(x, k_0, k_1), (-k_0*k_1*F_110(x, k_0*k_1) + k_1*F_110(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_111(x, k_0), F_110(x, k_0)*F_38(x, k_0))
Eq(F_111(x, k_0), F_34(x, k_0))
Eq(F_112(x), F_113(x, 1))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_38(x, k_0))
Eq(F_116(x, k_0), F_10(x)*F_115(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0) + F_147(x, k_0) + F_43(x))
Eq(F_118(x, k_0), F_10(x)*F_119(x, k_0))
Eq(F_119(x, k_0), (k_0*F_120(x, k_0) - F_120(x, 1))/(k_0 - 1))
Eq(F_120(x, k_0), F_121(x, k_0) + F_122(x, k_0) + 2*F_43(x))
Eq(F_121(x, k_0), F_10(x)*F_119(x, k_0))
Eq(F_122(x, k_0), F_10(x)*F_123(x, k_0))
Eq(F_124(x, k_0), (k_0*F_123(x, k_0) - F_123(x, 1))/(k_0 - 1))
Eq(F_125(x, k_0), F_10(x)*F_124(x, k_0))
Eq(F_126(x, k_0), F_125(x, k_0) + F_146(x, k_0) + F_43(x))
Eq(F_127(x, k_0), F_126(x, k_0)*F_38(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0))
Eq(F_128(x, k_0), F_10(x)*F_129(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0) + F_143(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0)*F_38(x, k_0))
Eq(F_132(x, k_0), F_129(x, k_0) + F_133(x))
Eq(F_133(x), F_134(x) + F_140(x))
Eq(F_134(x), F_1(x) + F_135(x) + F_137(x))
Eq(F_135(x), F_10(x)*F_136(x))
Eq(F_136(x), F_63(x, 1))
Eq(F_137(x), F_10(x)*F_138(x))
Eq(F_138(x), F_139(x, 1))
Eq(F_139(x, k_0), F_130(x, k_0) + F_134(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_10(x)*F_142(x))
Eq(F_142(x), F_48(x, 1))
Eq(F_143(x, k_0), F_144(x, k_0))
Eq(F_144(x, k_0), F_10(x)*F_145(x, k_0))
Eq(F_145(x, k_0), -F_90(x, 1) + (k_0*F_90(x, k_0) - F_90(x, 1))/(k_0 - 1))
Eq(F_146(x, k_0), F_10(x)*F_132(x, k_0))
Eq(F_147(x, k_0), F_10(x)*F_27(x, k_0))
Eq(F_148(x, k_0), F_149(x, k_0) + F_266(x, k_0))
Eq(F_149(x, k_0), F_150(x) + F_180(x, k_0))
Eq(F_150(x), F_151(x) - F_257(x))
Eq(F_151(x), F_152(x, 1))
Eq(F_153(x, k_0), F_152(x, k_0) + F_264(x, k_0))
Eq(F_154(x, k_0), F_153(x, k_0) + F_259(x, k_0))
Eq(F_155(x, k_0), F_10(x)*F_154(x, k_0))
Eq(F_155(x, k_0), F_156(x, k_0))
Eq(F_156(x, k_0), F_157(x) + F_258(x, k_0))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x) + F_22(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_10(x)*F_161(x))
Eq(F_161(x), F_162(x) + F_29(x))
Eq(F_162(x), F_163(x) + F_257(x))
Eq(F_163(x), F_164(x) + F_251(x))
Eq(F_164(x), F_165(x) + F_196(x))
Eq(F_165(x), F_166(x) - F_177(x))
Eq(F_166(x), F_167(x, 1))
Eq(F_167(x, k_0), k_0*F_168(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0))
Eq(F_169(x, k_0), F_10(x)*F_170(x, k_0))
Eq(F_171(x, k_0), F_170(x, k_0)*F_38(x, k_0))
Eq(F_171(x, k_0), F_172(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0) + F_174(x, k_0) + F_43(x))
Eq(F_173(x, k_0), F_10(x)*F_81(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0)*F_38(x, k_0))
Eq(F_175(x, k_0), F_176(x, 1, k_0))
Eq(F_176(x, k_0, k_1), (-k_0*k_1*F_94(x, k_0*k_1) + k_1*F_94(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_177(x), F_178(x, 1))
Eq(F_178(x, k_0), F_179(x, k_0) + F_187(x, k_0) + F_43(x))
Eq(F_179(x, k_0), F_10(x)*F_180(x, k_0))
Eq(F_180(x, k_0), F_181(x, k_0) + F_186(x, k_0) + F_43(x))
Eq(F_181(x, k_0), F_10(x)*F_182(x, k_0))
Eq(F_182(x, k_0), -F_183(x, 1) + (k_0*F_183(x, k_0) - F_183(x, 1))/(k_0 - 1))
Eq(F_184(x, k_0), F_10(x)*F_183(x, k_0))
Eq(F_178(x, k_0), F_184(x, k_0) + F_185(x, k_0) + F_43(x))
Eq(F_185(x, k_0), F_10(x)*F_172(x, k_0))
Eq(F_186(x, k_0), F_10(x)*F_81(x, k_0))
Eq(F_168(x, k_0), F_187(x, k_0) + F_188(x, k_0) + F_190(x, k_0))
Eq(F_188(x, k_0), F_189(x, k_0))
Eq(F_189(x, k_0), F_10(x)*F_94(x, k_0))
Eq(F_190(x, k_0), F_10(x)*F_191(x, k_0))
Eq(F_192(x, k_0), F_191(x, k_0) + F_195(x, k_0))
Eq(F_193(x, k_0), F_192(x, k_0)*F_38(x, k_0))
Eq(F_193(x, k_0), F_194(x, k_0))
Eq(F_194(x, k_0), F_18(x, k_0) + F_23(x, k_0))
Eq(F_195(x, k_0), F_27(x, k_0) + F_82(x, k_0))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x, 1))
Eq(F_199(x, k_0), F_198(x, k_0) + F_202(x))
Eq(F_200(x, k_0), F_199(x, k_0) + F_248(x, k_0))
Eq(F_200(x, k_0), F_201(x) + F_240(x, k_0))
Eq(F_201(x), F_202(x) + F_218(x))
Eq(F_202(x), F_203(x) + F_208(x) + F_43(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_205(x, 1))
Eq(F_205(x, k_0), F_10(x)*F_206(x, k_0))
Eq(F_206(x, k_0), F_207(x, k_0))
Eq(F_207(x, k_0), F_38(x, k_0)*F_68(x, k_0))
Eq(F_208(x), F_10(x)*F_209(x))
Eq(F_209(x), F_210(x, 1))
Eq(F_210(x, k_0), F_199(x, k_0) + F_211(x, k_0))
Eq(F_211(x, k_0), F_212(x) + F_215(x, k_0))
Eq(F_212(x), F_0(x) + F_213(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_10(x)*F_13(x))
Eq(F_215(x, k_0), F_216(x, k_0) + F_96(x, k_0))
Eq(F_216(x, k_0), F_217(x, k_0))
Eq(F_217(x, k_0), F_10(x)*F_34(x, k_0))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_10(x)*F_220(x))
Eq(F_220(x), F_221(x) + F_239(x))
Eq(F_221(x), F_222(x)*F_226(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_1(x) + F_224(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_10(x)*F_223(x))
Eq(F_226(x), F_218(x) + F_227(x))
Eq(F_227(x), F_228(x) + F_5(x))
Eq(F_228(x), F_229(x, 1))
Eq(F_229(x, k_0), F_230(x, k_0))
Eq(F_230(x, k_0), F_10(x)*F_231(x, k_0))
Eq(F_231(x, k_0), F_232(x, k_0) + F_234(x, k_0) + F_236(x, k_0) + F_43(x))
Eq(F_232(x, k_0), F_10(x)*F_233(x, k_0))
Eq(F_233(x, k_0), -F_81(x, 1) + (k_0*F_81(x, k_0) - F_81(x, 1))/(k_0 - 1))
Eq(F_234(x, k_0), F_10(x)*F_235(x, k_0))
Eq(F_235(x, k_0), -F_231(x, 1) + (k_0*F_231(x, k_0) - F_231(x, 1))/(k_0 - 1))
Eq(F_236(x, k_0), F_237(x, k_0)*F_38(x, k_0))
Eq(F_237(x, k_0), F_238(x, 1, k_0))
Eq(F_238(x, k_0, k_1), (-k_0*k_1*F_48(x, k_0*k_1) + k_1*F_48(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_239(x), F_81(x, 1))
Eq(F_34(x, k_0), F_240(x, k_0) + F_241(x, k_0))
Eq(F_241(x, k_0), F_215(x, k_0) + F_242(x, k_0))
Eq(F_242(x, k_0), F_243(x, k_0))
Eq(F_243(x, k_0), F_227(x)*F_244(x, k_0))
Eq(F_244(x, k_0), F_245(x, k_0))
Eq(F_245(x, k_0), F_246(x, k_0))
Eq(F_246(x, k_0), F_247(x, k_0)*F_38(x, k_0))
Eq(F_247(x, k_0), F_1(x) + F_245(x, k_0))
Eq(F_248(x, k_0), F_249(x, k_0))
Eq(F_249(x, k_0), F_218(x)*F_250(x, k_0))
Eq(F_250(x, k_0), F_247(x, k_0))
Eq(F_251(x), F_252(x) + F_254(x) + 3*F_43(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_184(x, 1))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_256(x, 1))
Eq(F_256(x, k_0), F_226(x)*F_250(x, k_0)*F_38(x, k_0))
Eq(F_257(x), F_180(x, 1))
Eq(F_258(x, k_0), k_0*F_159(x))
Eq(F_259(x, k_0), F_260(x) + F_262(x, k_0))
Eq(F_260(x), F_261(x)/F_10(x))
Eq(F_261(x), F_157(x))
Eq(F_262(x, k_0), F_263(x, k_0))
Eq(F_263(x, k_0), k_0*F_29(x))
Eq(F_264(x, k_0), k_0*F_265(x))
Eq(F_265(x), F_266(x, 1))
Eq(F_266(x, k_0), k_0*F_117(x, k_0))
Eq(F_267(x), F_10(x)*F_268(x))
Eq(F_268(x), F_269(x, 1))
Eq(F_269(x, k_0), F_14(x) + F_55(x, k_0))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_10(x)*F_272(x))
Eq(F_272(x), F_82(x, 1))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_10(x)*F_11(x))
Eq(F_275(x), F_231(x, 1))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_206(x, 1))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_10(x)*F_272(x))
Pack JSON:
{"name": "point_and_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.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]]}], "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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "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", 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[0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": 2, "col_idx": null, "tracked": true}}]}
Specification 3
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25174/
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[14,x]*F[4,x]
F[4,x] = F[5,x]+F[54,x]
F[5,x] = F[1,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[14,x]*F[8,x]
F[8,x] = F[24,x]+F[9,x]
F[9,x] = F[1,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[14,x]
F[12,x] = F[13,x]+F[15,x]
F[13,x] = F[1,x]+F[14,x]
F[14,x] = x
F[15,x] = F[16,x]+F[19,x]
F[16,x] = F[17,x]
F[17,x] = F[14,x]*F[18,x]
F[18,x] = F[1,x]+F[16,x]
F[19,x] = F[20,x]+F[21,x]+F[23,x]
F[20,x] = 0
F[21,x] = F[14,x]*F[22,x]
F[22,x] = F[14,x]+F[19,x]
F[23,x] = F[14,x]*F[16,x]
F[24,x] = F[25,x]+F[6,x]
F[25,x] = F[20,x]+F[26,x]+F[50,x]
F[26,x] = F[14,x]*F[27,x]
F[27,x] = F[28,x]+F[34,x]
F[28,x] = F[14,x]+F[29,x]
F[29,x] = F[20,x]+F[23,x]+F[30,x]
F[30,x] = F[14,x]*F[31,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[14,x]
F[33,x] = F[19,x]
F[34,x] = F[35,x]+F[37,x]
F[35,x] = F[20,x]+F[26,x]+F[36,x]
F[36,x] = F[14,x]*F[6,x]
F[37,x] = F[20,x]+F[38,x]+F[39,x]+F[46,x]
F[38,x] = 0
F[39,x] = F[14,x]*F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[35,x]
F[42,x] = F[43,x]
F[43,x] = F[20,x]+F[38,x]+F[44,x]+F[46,x]
F[44,x] = F[14,x]*F[45,x]
F[45,x] = F[35,x]+F[43,x]
F[46,x] = F[14,x]*F[47,x]
F[47,x] = F[20,x]+F[26,x]+F[48,x]
F[48,x] = F[14,x]*F[49,x]
F[49,x] = F[47,x]+F[6,x]
F[50,x] = F[14,x]*F[51,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = F[35,x]+F[6,x]
F[53,x] = F[43,x]+F[47,x]
F[54,x] = F[20,x]+F[323,x]+F[55,x]
F[55,x] = F[14,x]*F[56,x]
F[56,x] = F[54,x]+F[57,x]
F[57,x] = F[20,x]+F[321,x]+F[58,x]+F[60,x]
F[58,x] = F[14,x]*F[59,x]
F[59,x] = F[57,x]
F[60,x] = F[14,x]*F[61,x]
F[61,x] = F[320,x]+F[62,x]
F[62,x] = F[20,x]+F[63,x]+F[65,x]+F[66,x]
F[63,x] = F[14,x]*F[64,x]
F[64,x] = F[56,x]+F[59,x]
F[65,x] = F[14,x]*F[62,x]
F[66,x] = F[14,x]*F[67,x]
F[67,x] = F[68,x,1]
F[68,x,k[0]] = F[1,x]+F[316,x,k[0]]+F[317,x,k[0]]+F[318,x,k[0]]+F[69,x,k[0]]
F[69,x,k[0]] = F[14,x]*F[70,x,k[0]]
F[70,x,k[0]] = F[274,x,k[0]]+F[71,x,k[0]]
F[71,x,k[0]] = 1/(-1+k[0])*(F[72,x,k[0]]*k[0]-F[72,x,1])
F[72,x,k[0]] = F[4,x]+F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[107,x,k[0]]*F[75,x,k[0]]
F[75,x,k[0]] = F[105,x,k[0]]+F[76,x,k[0]]
F[77,x,k[0]] = F[314,x,k[0]]+F[76,x,k[0]]
F[77,x,k[0]] = F[185,x,k[0]]+F[78,x]
F[78,x] = F[183,x]+F[79,x]
F[79,x] = F[4,x]+F[80,x]+F[83,x]
F[80,x] = F[81,x]
F[81,x] = F[14,x]*F[82,x]
F[82,x] = F[75,x,1]
F[83,x] = F[84,x]
F[84,x] = F[14,x]*F[85,x]
F[85,x] = F[86,x,1]
F[87,x,k[0]] = (F[86,x,k[0]]*k[0]-F[86,x,1])/(-1+k[0])
F[88,x,k[0]] = F[138,x,k[0]]+F[87,x,k[0]]
F[89,x,k[0]] = F[107,x,k[0]]*F[88,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]
F[90,x,k[0]] = -k[0]*(F[91,x,1]-F[91,x,k[0]])/(-1+k[0])
F[91,x,k[0]] = F[137,x,k[0]]+F[20,x]+F[92,x,k[0]]+F[94,x,k[0]]
F[92,x,k[0]] = F[14,x]*F[93,x,k[0]]
F[93,x,k[0]] = -k[0]*(F[73,x,1]-F[73,x,k[0]])/(-1+k[0])
F[94,x,k[0]] = F[107,x,k[0]]*F[95,x,k[0]]
F[95,x,k[0]] = F[136,x,k[0]]+F[96,x,k[0]]
F[96,x,k[0]] = F[4,x]+F[97,x,k[0]]
F[97,x,k[0]] = F[98,x,k[0]]
F[98,x,k[0]] = F[107,x,k[0]]*F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]+F[109,x,k[0]]+F[96,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]*F[14,x]
F[102,x,k[0]] = F[103,x,k[0]]+F[104,x]
F[103,x,k[0]] = 1/(-1+k[0])*(F[76,x,k[0]]*k[0]-F[76,x,1])
F[104,x] = F[105,x,1]
F[105,x,k[0]] = F[106,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]*F[108,x]*F[75,x,k[0]]
F[107,x,k[0]] = k[0]*x
F[108,x] = F[18,x]
F[109,x,k[0]] = F[110,x,k[0]]
F[110,x,k[0]] = F[111,x,k[0]]*F[14,x]
F[112,x,k[0]] = F[111,x,k[0]]+F[114,x,k[0]]
F[113,x,k[0]] = F[107,x,k[0]]*F[112,x,k[0]]
F[113,x,k[0]] = F[90,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]
F[115,x,k[0]] = k[0]*F[116,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]+F[128,x,k[0]]+F[133,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]+F[123,x,k[0]]+F[124,x,k[0]]+F[125,x,k[0]]+F[20,x]
F[118,x,k[0]] = F[119,x,k[0]]*F[14,x]
F[119,x,k[0]] = F[120,x,k[0]]
F[120,x,k[0]] = 1/(-1+k[0])*(F[121,x,k[0]]*k[0]-F[121,x,1])
F[121,x,k[0]] = F[122,x,k[0]]
F[122,x,k[0]] = F[14,x]*F[75,x,k[0]]
F[123,x,k[0]] = F[107,x,k[0]]*F[117,x,k[0]]
F[124,x,k[0]] = F[14,x]*F[96,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]*F[14,x]
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = (F[91,x,k[0]]-F[91,x,1])/(-1+k[0])
F[128,x,k[0]] = F[129,x,k[0]]*F[14,x]
F[129,x,k[0]] = F[130,x,k[0]]
F[130,x,k[0]] = 1/(-1+k[0])*(F[131,x,k[0]]*k[0]-F[131,x,1])
F[131,x,k[0]] = F[132,x,k[0]]
F[132,x,k[0]] = F[108,x]*F[14,x]*F[75,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]*F[14,x]
F[135,x,k[0]] = F[116,x,k[0]]
F[136,x,k[0]] = k[0]*F[117,x,k[0]]
F[137,x,k[0]] = F[14,x]*F[90,x,k[0]]
F[138,x,k[0]] = F[139,x,k[0]]
F[139,x,k[0]] = k[0]*F[140,x,k[0]]
F[140,x,k[0]] = F[141,x,k[0]]+F[176,x,k[0]]
F[141,x,k[0]] = F[142,x,k[0]]+F[163,x,k[0]]
F[142,x,k[0]] = F[143,x]*F[171,x,k[0]]
F[143,x] = F[144,x]+F[145,x]
F[144,x] = F[14,x]+F[35,x]
F[145,x] = 1/F[18,x]*F[146,x]
F[146,x] = -F[161,x]+F[147,x]
F[147,x] = F[148,x]+F[156,x]
F[148,x] = F[144,x]*F[149,x]
F[149,x] = F[150,x]+F[152,x]
F[150,x] = F[151,x]
F[151,x] = F[108,x]*F[14,x]
F[152,x] = F[153,x]+F[154,x]+F[20,x]
F[153,x] = F[14,x]*F[149,x]
F[154,x] = F[14,x]*F[155,x]
F[155,x] = F[152,x]+F[16,x]
F[156,x] = -F[160,x]+F[157,x]
F[157,x] = F[158,x]
F[158,x] = F[14,x]*F[159,x]*F[79,x]
F[159,x] = F[108,x]+F[155,x]
F[160,x] = F[144,x]*F[159,x]
F[161,x] = F[162,x,1]
F[162,x,k[0]] = k[0]*F[163,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]+F[165,x,k[0]]+F[20,x]
F[164,x,k[0]] = F[107,x,k[0]]*F[163,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[166,x,k[0]] = F[14,x]*F[143,x]*F[167,x,k[0]]
F[167,x,k[0]] = F[108,x]+F[168,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]+F[172,x,k[0]]
F[169,x,k[0]] = F[170,x,k[0]]
F[170,x,k[0]] = F[107,x,k[0]]*F[171,x,k[0]]
F[171,x,k[0]] = F[1,x]+F[169,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]+F[175,x,k[0]]+F[20,x]
F[173,x,k[0]] = F[107,x,k[0]]*F[174,x,k[0]]
F[174,x,k[0]] = F[150,x]+F[172,x,k[0]]
F[175,x,k[0]] = F[14,x]*F[168,x,k[0]]
F[176,x,k[0]] = F[177,x,k[0]]+F[180,x,k[0]]+F[181,x,k[0]]+F[20,x]
F[177,x,k[0]] = F[14,x]*F[178,x,k[0]]
F[178,x,k[0]] = F[179,x,k[0]]
F[179,x,k[0]] = F[14,x]*F[167,x,k[0]]*F[82,x]
F[180,x,k[0]] = F[107,x,k[0]]*F[176,x,k[0]]
F[181,x,k[0]] = F[182,x,k[0]]
F[182,x,k[0]] = F[14,x]*F[176,x,k[0]]
F[183,x] = F[184,x]
F[184,x] = F[108,x]*F[14,x]*F[78,x]
F[185,x,k[0]] = F[186,x,k[0]]+F[188,x,k[0]]+F[189,x,k[0]]
F[186,x,k[0]] = F[187,x,k[0]]
F[187,x,k[0]] = F[107,x,k[0]]*F[76,x,k[0]]
F[188,x,k[0]] = F[14,x]*F[185,x,k[0]]
F[189,x,k[0]] = F[190,x,k[0]]
F[190,x,k[0]] = F[14,x]*F[191,x,k[0]]
F[191,x,k[0]] = F[192,x,k[0]]+F[204,x,k[0]]
F[193,x,k[0]] = F[192,x,k[0]]+F[203,x,k[0]]
F[194,x,k[0]] = F[14,x]*F[193,x,k[0]]
F[194,x,k[0]] = F[195,x,k[0]]
F[195,x,k[0]] = F[14,x]*F[196,x,k[0]]
F[196,x,k[0]] = F[197,x,k[0]]+F[198,x,k[0]]
F[197,x,k[0]] = -k[0]*(F[185,x,1]-F[185,x,k[0]])/(-1+k[0])
F[199,x,k[0]] = F[198,x,k[0]]+F[202,x,k[0]]
F[200,x,k[0]] = F[14,x]*F[199,x,k[0]]
F[200,x,k[0]] = F[201,x,k[0]]
F[201,x,k[0]] = (F[73,x,k[0]]-F[73,x,1])/(-1+k[0])
F[202,x,k[0]] = (F[77,x,k[0]]*k[0]-F[77,x,1])/(-1+k[0])
F[203,x,k[0]] = F[198,x,k[0]]
F[205,x,k[0]] = F[157,x]+F[204,x,k[0]]
F[205,x,k[0]] = F[206,x,k[0]]+F[311,x,k[0]]+F[312,x,k[0]]
F[206,x,k[0]] = F[143,x]+F[207,x,k[0]]
F[207,x,k[0]] = F[20,x]+F[208,x,k[0]]+F[295,x,k[0]]+F[309,x,k[0]]+F[310,x,k[0]]
F[208,x,k[0]] = F[14,x]*F[209,x,k[0]]
F[209,x,k[0]] = k[0]*F[210,x]
F[210,x] = 1/F[14,x]*F[211,x]
F[211,x] = -F[20,x]-F[291,x]-F[292,x]-F[294,x]+F[212,x]
F[212,x] = -F[143,x]+F[213,x]
F[213,x] = F[214,x]
F[214,x] = -F[288,x]+F[215,x]
F[215,x] = F[216,x]+F[287,x]
F[216,x] = -F[258,x]+F[217,x]
F[217,x] = F[218,x,1]
F[218,x,k[0]] = F[219,x,k[0]]+F[95,x,k[0]]
F[219,x,k[0]] = F[220,x,k[0]]
F[220,x,k[0]] = F[14,x]*F[221,x,k[0]]
F[221,x,k[0]] = F[222,x,k[0]]+F[255,x,k[0]]
F[223,x,k[0]] = F[107,x,k[0]]*F[222,x,k[0]]
F[224,x,k[0]] = F[223,x,k[0]]+F[240,x]+F[242,x,k[0]]+F[246,x,k[0]]
F[224,x,k[0]] = F[225,x,k[0]]+F[226,x,k[0]]
F[86,x,k[0]] = F[140,x,k[0]]+F[225,x,k[0]]
F[227,x,k[0]] = F[226,x,k[0]]+F[236,x,k[0]]
F[228,x,k[0]] = F[227,x,k[0]]+F[235,x,k[0]]
F[229,x,k[0]] = F[228,x,k[0]]+F[232,x,k[0]]
F[230,x,k[0]] = F[14,x]*F[229,x,k[0]]
F[230,x,k[0]] = F[231,x,k[0]]
F[231,x,k[0]] = (F[73,x,k[0]]-F[73,x,1])/(-1+k[0])
F[232,x,k[0]] = F[233,x]
F[233,x] = F[234,x,1]
F[234,x,k[0]] = k[0]*F[131,x,k[0]]
F[235,x,k[0]] = k[0]*F[178,x,k[0]]
F[237,x,k[0]] = F[236,x,k[0]]+F[239,x,k[0]]
F[238,x,k[0]] = F[107,x,k[0]]*F[237,x,k[0]]
F[238,x,k[0]] = F[73,x,k[0]]
F[239,x,k[0]] = k[0]*F[141,x,k[0]]
F[240,x] = F[241,x,1]
F[241,x,k[0]] = F[186,x,k[0]]+F[4,x]
F[242,x,k[0]] = F[243,x,k[0]]
F[243,x,k[0]] = F[14,x]*F[244,x,k[0]]
F[244,x,k[0]] = F[227,x,k[0]]+F[245,x,k[0]]
F[245,x,k[0]] = F[104,x]
F[246,x,k[0]] = F[247,x,k[0]]
F[247,x,k[0]] = F[14,x]*F[248,x,k[0]]
F[248,x,k[0]] = (F[249,x,k[0]]*k[0]-F[249,x,1])/(-1+k[0])
F[249,x,k[0]] = F[224,x,k[0]]+F[250,x,k[0]]
F[250,x,k[0]] = F[176,x,k[0]]+F[251,x,k[0]]
F[251,x,k[0]] = F[213,x]+F[252,x,k[0]]+F[253,x,k[0]]
F[252,x,k[0]] = F[107,x,k[0]]*F[251,x,k[0]]
F[253,x,k[0]] = F[254,x,k[0]]
F[254,x,k[0]] = F[14,x]*F[167,x,k[0]]*F[213,x]
F[255,x,k[0]] = F[256,x,k[0]]+F[257,x,k[0]]
F[256,x,k[0]] = k[0]*F[251,x,k[0]]
F[257,x,k[0]] = k[0]*F[176,x,k[0]]
F[258,x] = F[259,x,1]
F[260,x,k[0]] = -k[0]*(F[259,x,1]-F[259,x,k[0]])/(-1+k[0])
F[261,x,k[0]] = F[217,x]+F[260,x,k[0]]
F[261,x,k[0]] = (F[262,x,k[0]]*k[0]-F[262,x,1])/(-1+k[0])
F[263,x,k[0]] = F[262,x,k[0]]+F[285,x,k[0]]
F[263,x,k[0]] = F[218,x,k[0]]+F[264,x,k[0]]
F[264,x,k[0]] = F[265,x,k[0]]
F[265,x,k[0]] = F[266,x,k[0]]
F[266,x,k[0]] = F[14,x]*F[267,x,k[0]]
F[268,x,k[0]] = F[107,x,k[0]]*F[267,x,k[0]]
F[268,x,k[0]] = F[269,x,k[0]]
F[270,x,k[0]] = F[269,x,k[0]]+F[284,x]
F[270,x,k[0]] = F[271,x,k[0]]+F[272,x,k[0]]
F[271,x,k[0]] = F[4,x]+F[91,x,k[0]]
F[272,x,k[0]] = F[20,x]+F[273,x,k[0]]+F[275,x,k[0]]+F[281,x,k[0]]+F[282,x,k[0]]
F[273,x,k[0]] = F[14,x]*F[274,x,k[0]]
F[274,x,k[0]] = F[231,x,k[0]]
F[275,x,k[0]] = F[14,x]*F[276,x,k[0]]
F[276,x,k[0]] = F[277,x,k[0]]+F[279,x,k[0]]
F[277,x,k[0]] = F[240,x]+F[278,x,k[0]]
F[278,x,k[0]] = k[0]*F[213,x]
F[279,x,k[0]] = F[280,x]
F[280,x] = F[73,x,1]
F[281,x,k[0]] = F[107,x,k[0]]*F[219,x,k[0]]
F[282,x,k[0]] = F[14,x]*F[283,x,k[0]]
F[283,x,k[0]] = (F[272,x,k[0]]*k[0]-F[272,x,1])/(-1+k[0])
F[284,x] = F[280,x]+F[4,x]
F[285,x,k[0]] = F[286,x,k[0]]
F[286,x,k[0]] = k[0]*F[265,x,k[0]]
F[287,x] = F[280,x]
F[288,x] = F[289,x,1]
F[289,x,k[0]] = F[241,x,k[0]]+F[290,x,k[0]]
F[290,x,k[0]] = k[0]*F[121,x,k[0]]
F[291,x] = F[14,x]*F[213,x]
F[292,x] = F[14,x]*F[293,x]
F[293,x] = F[186,x,1]
F[294,x] = F[295,x,1]
F[295,x,k[0]] = F[14,x]*F[296,x,k[0]]
F[297,x,k[0]] = F[296,x,k[0]]+F[306,x]
F[297,x,k[0]] = F[298,x,k[0]]
F[299,x,k[0]] = F[298,x,k[0]]+F[72,x,k[0]]
F[300,x,k[0]] = F[14,x]*F[299,x,k[0]]
F[72,x,k[0]] = F[1,x]+F[300,x,k[0]]+F[301,x,k[0]]+F[305,x,k[0]]
F[301,x,k[0]] = F[14,x]*F[302,x,k[0]]
F[302,x,k[0]] = F[284,x]+F[303,x,k[0]]
F[303,x,k[0]] = k[0]*F[304,x]
F[304,x] = F[280,x]
F[305,x,k[0]] = F[107,x,k[0]]*F[289,x,k[0]]
F[306,x] = 1/F[14,x]*F[307,x]
F[307,x] = -F[20,x]-F[308,x]-F[58,x]+F[145,x]
F[308,x] = F[14,x]*F[54,x]
F[309,x,k[0]] = F[107,x,k[0]]*F[206,x,k[0]]
F[310,x,k[0]] = F[14,x]*F[186,x,k[0]]
F[311,x,k[0]] = F[14,x]*F[205,x,k[0]]
F[312,x,k[0]] = F[313,x,k[0]]
F[313,x,k[0]] = F[14,x]*F[159,x]*F[206,x,k[0]]
F[314,x,k[0]] = F[315,x,k[0]]
F[315,x,k[0]] = F[108,x]*F[14,x]*F[77,x,k[0]]
F[316,x,k[0]] = F[14,x]*F[277,x,k[0]]
F[317,x,k[0]] = F[107,x,k[0]]*F[218,x,k[0]]
F[318,x,k[0]] = F[14,x]*F[319,x,k[0]]
F[319,x,k[0]] = (F[68,x,k[0]]*k[0]-F[68,x,1])/(-1+k[0])
F[320,x] = F[57,x]
F[321,x] = F[14,x]*F[322,x]
F[322,x] = F[272,x,1]
F[323,x] = F[14,x]*F[324,x]
F[324,x] = F[271,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_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{54}\! \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_{14}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{24}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{15}\! \left(x \right)
F_{13}\! \left(x \right) = F_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = x
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{19}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{14}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{1}\! \left(x \right)+F_{16}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{21}\! \left(x \right)+F_{23}\! \left(x \right)
F_{20}\! \left(x \right) = 0
F_{21}\! \left(x \right) = F_{14}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{23}\! \left(x \right) = F_{14}\! \left(x \right) F_{16}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{6}\! \left(x \right)
F_{25}\! \left(x \right) = F_{20}\! \left(x \right)+F_{26}\! \left(x \right)+F_{50}\! \left(x \right)
F_{26}\! \left(x \right) = F_{14}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{34}\! \left(x \right)
F_{28}\! \left(x \right) = F_{14}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{20}\! \left(x \right)+F_{23}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{14}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{14}\! \left(x \right)
F_{33}\! \left(x \right) = F_{19}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{37}\! \left(x \right)
F_{35}\! \left(x \right) = F_{20}\! \left(x \right)+F_{26}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{14}\! \left(x \right) F_{6}\! \left(x \right)
F_{37}\! \left(x \right) = F_{20}\! \left(x \right)+F_{38}\! \left(x \right)+F_{39}\! \left(x \right)+F_{46}\! \left(x \right)
F_{38}\! \left(x \right) = 0
F_{39}\! \left(x \right) = F_{14}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{35}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{20}\! \left(x \right)+F_{38}\! \left(x \right)+F_{44}\! \left(x \right)+F_{46}\! \left(x \right)
F_{44}\! \left(x \right) = F_{14}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{35}\! \left(x \right)+F_{43}\! \left(x \right)
F_{46}\! \left(x \right) = F_{14}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{20}\! \left(x \right)+F_{26}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{14}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{47}\! \left(x \right)+F_{6}\! \left(x \right)
F_{50}\! \left(x \right) = F_{14}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{35}\! \left(x \right)+F_{6}\! \left(x \right)
F_{53}\! \left(x \right) = F_{43}\! \left(x \right)+F_{47}\! \left(x \right)
F_{54}\! \left(x \right) = F_{20}\! \left(x \right)+F_{323}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{14}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{54}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{20}\! \left(x \right)+F_{321}\! \left(x \right)+F_{58}\! \left(x \right)+F_{60}\! \left(x \right)
F_{58}\! \left(x \right) = F_{14}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{57}\! \left(x \right)
F_{60}\! \left(x \right) = F_{14}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{320}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{20}\! \left(x \right)+F_{63}\! \left(x \right)+F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{63}\! \left(x \right) = F_{14}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{56}\! \left(x \right)+F_{59}\! \left(x \right)
F_{65}\! \left(x \right) = F_{14}\! \left(x \right) F_{62}\! \left(x \right)
F_{66}\! \left(x \right) = F_{14}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x , 1\right)
F_{68}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{316}\! \left(x , y\right)+F_{317}\! \left(x , y\right)+F_{318}\! \left(x , y\right)+F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{274}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = -\frac{-F_{72}\! \left(x , y\right) y +F_{72}\! \left(x , 1\right)}{-1+y}
F_{72}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{314}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{183}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{4}\! \left(x \right)+F_{80}\! \left(x \right)+F_{83}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{14}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{75}\! \left(x , 1\right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{14}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x , 1\right)
F_{87}\! \left(x , y\right) = -\frac{-F_{86}\! \left(x , y\right) y +F_{86}\! \left(x , 1\right)}{-1+y}
F_{88}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{88}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = -\frac{y \left(F_{91}\! \left(x , 1\right)-F_{91}\! \left(x , y\right)\right)}{-1+y}
F_{91}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{20}\! \left(x \right)+F_{92}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = -\frac{y \left(F_{73}\! \left(x , 1\right)-F_{73}\! \left(x , y\right)\right)}{-1+y}
F_{94}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{136}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{109}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{104}\! \left(x \right)
F_{103}\! \left(x , y\right) = -\frac{-F_{76}\! \left(x , y\right) y +F_{76}\! \left(x , 1\right)}{-1+y}
F_{104}\! \left(x \right) = F_{105}\! \left(x , 1\right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{108}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = y x
F_{108}\! \left(x \right) = F_{18}\! \left(x \right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{112}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{114}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{112}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{90}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = y F_{116}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{128}\! \left(x , y\right)+F_{133}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{123}\! \left(x , y\right)+F_{124}\! \left(x , y\right)+F_{125}\! \left(x , y\right)+F_{20}\! \left(x \right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = -\frac{-y F_{121}\! \left(x , y\right)+F_{121}\! \left(x , 1\right)}{-1+y}
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{117}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{96}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = -\frac{F_{91}\! \left(x , 1\right)-F_{91}\! \left(x , y\right)}{-1+y}
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = -\frac{-y F_{131}\! \left(x , y\right)+F_{131}\! \left(x , 1\right)}{-1+y}
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{108}\! \left(x \right) F_{14}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{135}\! \left(x , y\right) = F_{116}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = y F_{117}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{90}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{139}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = y F_{140}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{141}\! \left(x , y\right)+F_{176}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{142}\! \left(x , y\right)+F_{163}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x \right) F_{171}\! \left(x , y\right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{145}\! \left(x \right)
F_{144}\! \left(x \right) = F_{14}\! \left(x \right)+F_{35}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{146}\! \left(x \right) = -F_{161}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{156}\! \left(x \right)
F_{148}\! \left(x \right) = F_{144}\! \left(x \right) F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{152}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{108}\! \left(x \right) F_{14}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)+F_{20}\! \left(x \right)
F_{153}\! \left(x \right) = F_{14}\! \left(x \right) F_{149}\! \left(x \right)
F_{154}\! \left(x \right) = F_{14}\! \left(x \right) F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{152}\! \left(x \right)+F_{16}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{14}\! \left(x \right) F_{159}\! \left(x \right) F_{79}\! \left(x \right)
F_{159}\! \left(x \right) = F_{108}\! \left(x \right)+F_{155}\! \left(x \right)
F_{160}\! \left(x \right) = F_{144}\! \left(x \right) F_{159}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x , 1\right)
F_{162}\! \left(x , y\right) = y F_{163}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)+F_{165}\! \left(x , y\right)+F_{20}\! \left(x \right)
F_{164}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{163}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{143}\! \left(x \right) F_{167}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{108}\! \left(x \right)+F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{172}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{171}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{169}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{175}\! \left(x , y\right)+F_{20}\! \left(x \right)
F_{173}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{174}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{150}\! \left(x \right)+F_{172}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{168}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{177}\! \left(x , y\right)+F_{180}\! \left(x , y\right)+F_{181}\! \left(x , y\right)+F_{20}\! \left(x \right)
F_{177}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{178}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)
F_{179}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{167}\! \left(x , y\right) F_{82}\! \left(x \right)
F_{180}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{176}\! \left(x , y\right)
F_{181}\! \left(x , y\right) = F_{182}\! \left(x , y\right)
F_{182}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{176}\! \left(x , y\right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{108}\! \left(x \right) F_{14}\! \left(x \right) F_{78}\! \left(x \right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right)+F_{188}\! \left(x , y\right)+F_{189}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{187}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{76}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{185}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{190}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{191}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{192}\! \left(x , y\right)+F_{204}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{192}\! \left(x , y\right)+F_{203}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{193}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{196}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)+F_{198}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = -\frac{y \left(F_{185}\! \left(x , 1\right)-F_{185}\! \left(x , y\right)\right)}{-1+y}
F_{199}\! \left(x , y\right) = F_{198}\! \left(x , y\right)+F_{202}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{199}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = -\frac{F_{73}\! \left(x , 1\right)-F_{73}\! \left(x , y\right)}{-1+y}
F_{202}\! \left(x , y\right) = -\frac{-F_{77}\! \left(x , y\right) y +F_{77}\! \left(x , 1\right)}{-1+y}
F_{203}\! \left(x , y\right) = F_{198}\! \left(x , y\right)
F_{205}\! \left(x , y\right) = F_{157}\! \left(x \right)+F_{204}\! \left(x , y\right)
F_{205}\! \left(x , y\right) = F_{206}\! \left(x , y\right)+F_{311}\! \left(x , y\right)+F_{312}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{143}\! \left(x \right)+F_{207}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{20}\! \left(x \right)+F_{208}\! \left(x , y\right)+F_{295}\! \left(x , y\right)+F_{309}\! \left(x , y\right)+F_{310}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{209}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = y F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{211}\! \left(x \right) = -F_{20}\! \left(x \right)-F_{291}\! \left(x \right)-F_{292}\! \left(x \right)-F_{294}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = -F_{143}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = -F_{288}\! \left(x \right)+F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{287}\! \left(x \right)
F_{216}\! \left(x \right) = -F_{258}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x , 1\right)
F_{218}\! \left(x , y\right) = F_{219}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{219}\! \left(x , y\right) = F_{220}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{221}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{222}\! \left(x , y\right)+F_{255}\! \left(x , y\right)
F_{223}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{222}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = F_{223}\! \left(x , y\right)+F_{240}\! \left(x \right)+F_{242}\! \left(x , y\right)+F_{246}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = F_{225}\! \left(x , y\right)+F_{226}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{140}\! \left(x , y\right)+F_{225}\! \left(x , y\right)
F_{227}\! \left(x , y\right) = F_{226}\! \left(x , y\right)+F_{236}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{227}\! \left(x , y\right)+F_{235}\! \left(x , y\right)
F_{229}\! \left(x , y\right) = F_{228}\! \left(x , y\right)+F_{232}\! \left(x , y\right)
F_{230}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{229}\! \left(x , y\right)
F_{230}\! \left(x , y\right) = F_{231}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = -\frac{F_{73}\! \left(x , 1\right)-F_{73}\! \left(x , y\right)}{-1+y}
F_{232}\! \left(x , y\right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x , 1\right)
F_{234}\! \left(x , y\right) = y F_{131}\! \left(x , y\right)
F_{235}\! \left(x , y\right) = y F_{178}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = F_{236}\! \left(x , y\right)+F_{239}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{237}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{73}\! \left(x , y\right)
F_{239}\! \left(x , y\right) = y F_{141}\! \left(x , y\right)
F_{240}\! \left(x \right) = F_{241}\! \left(x , 1\right)
F_{241}\! \left(x , y\right) = F_{186}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{242}\! \left(x , y\right) = F_{243}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{244}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{227}\! \left(x , y\right)+F_{245}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{104}\! \left(x \right)
F_{246}\! \left(x , y\right) = F_{247}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{248}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = -\frac{-F_{249}\! \left(x , y\right) y +F_{249}\! \left(x , 1\right)}{-1+y}
F_{249}\! \left(x , y\right) = F_{224}\! \left(x , y\right)+F_{250}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{176}\! \left(x , y\right)+F_{251}\! \left(x , y\right)
F_{251}\! \left(x , y\right) = F_{213}\! \left(x \right)+F_{252}\! \left(x , y\right)+F_{253}\! \left(x , y\right)
F_{252}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{251}\! \left(x , y\right)
F_{253}\! \left(x , y\right) = F_{254}\! \left(x , y\right)
F_{254}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{167}\! \left(x , y\right) F_{213}\! \left(x \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) = y F_{251}\! \left(x , y\right)
F_{257}\! \left(x , y\right) = y F_{176}\! \left(x , y\right)
F_{258}\! \left(x \right) = F_{259}\! \left(x , 1\right)
F_{260}\! \left(x , y\right) = -\frac{y \left(F_{259}\! \left(x , 1\right)-F_{259}\! \left(x , y\right)\right)}{-1+y}
F_{261}\! \left(x , y\right) = F_{217}\! \left(x \right)+F_{260}\! \left(x , y\right)
F_{261}\! \left(x , y\right) = -\frac{-F_{262}\! \left(x , y\right) y +F_{262}\! \left(x , 1\right)}{-1+y}
F_{263}\! \left(x , y\right) = F_{262}\! \left(x , y\right)+F_{285}\! \left(x , y\right)
F_{263}\! \left(x , y\right) = F_{218}\! \left(x , y\right)+F_{264}\! \left(x , y\right)
F_{264}\! \left(x , y\right) = F_{265}\! \left(x , y\right)
F_{265}\! \left(x , y\right) = F_{266}\! \left(x , y\right)
F_{266}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{267}\! \left(x , y\right)
F_{268}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{267}\! \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_{284}\! \left(x \right)
F_{270}\! \left(x , y\right) = F_{271}\! \left(x , y\right)+F_{272}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{91}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{20}\! \left(x \right)+F_{273}\! \left(x , y\right)+F_{275}\! \left(x , y\right)+F_{281}\! \left(x , y\right)+F_{282}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{274}\! \left(x , y\right)
F_{274}\! \left(x , y\right) = F_{231}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{276}\! \left(x , y\right)
F_{276}\! \left(x , y\right) = F_{277}\! \left(x , y\right)+F_{279}\! \left(x , y\right)
F_{277}\! \left(x , y\right) = F_{240}\! \left(x \right)+F_{278}\! \left(x , y\right)
F_{278}\! \left(x , y\right) = y F_{213}\! \left(x \right)
F_{279}\! \left(x , y\right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{73}\! \left(x , 1\right)
F_{281}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{219}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{283}\! \left(x , y\right)
F_{283}\! \left(x , y\right) = -\frac{-F_{272}\! \left(x , y\right) y +F_{272}\! \left(x , 1\right)}{-1+y}
F_{284}\! \left(x \right) = F_{280}\! \left(x \right)+F_{4}\! \left(x \right)
F_{285}\! \left(x , y\right) = F_{286}\! \left(x , y\right)
F_{286}\! \left(x , y\right) = y F_{265}\! \left(x , y\right)
F_{287}\! \left(x \right) = F_{280}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x , 1\right)
F_{289}\! \left(x , y\right) = F_{241}\! \left(x , y\right)+F_{290}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = y F_{121}\! \left(x , y\right)
F_{291}\! \left(x \right) = F_{14}\! \left(x \right) F_{213}\! \left(x \right)
F_{292}\! \left(x \right) = F_{14}\! \left(x \right) F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{186}\! \left(x , 1\right)
F_{294}\! \left(x \right) = F_{295}\! \left(x , 1\right)
F_{295}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{296}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{296}\! \left(x , y\right)+F_{306}\! \left(x \right)
F_{297}\! \left(x , y\right) = F_{298}\! \left(x , y\right)
F_{299}\! \left(x , y\right) = F_{298}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{300}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{299}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{300}\! \left(x , y\right)+F_{301}\! \left(x , y\right)+F_{305}\! \left(x , y\right)
F_{301}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{302}\! \left(x , y\right)
F_{302}\! \left(x , y\right) = F_{284}\! \left(x \right)+F_{303}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = y F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = F_{280}\! \left(x \right)
F_{305}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{289}\! \left(x , y\right)
F_{306}\! \left(x \right) = \frac{F_{307}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{307}\! \left(x \right) = -F_{20}\! \left(x \right)-F_{308}\! \left(x \right)-F_{58}\! \left(x \right)+F_{145}\! \left(x \right)
F_{308}\! \left(x \right) = F_{14}\! \left(x \right) F_{54}\! \left(x \right)
F_{309}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{206}\! \left(x , y\right)
F_{310}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{186}\! \left(x , y\right)
F_{311}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{205}\! \left(x , y\right)
F_{312}\! \left(x , y\right) = F_{313}\! \left(x , y\right)
F_{313}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{159}\! \left(x \right) F_{206}\! \left(x , y\right)
F_{314}\! \left(x , y\right) = F_{315}\! \left(x , y\right)
F_{315}\! \left(x , y\right) = F_{108}\! \left(x \right) F_{14}\! \left(x \right) F_{77}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{277}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{218}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{319}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = -\frac{-y F_{68}\! \left(x , y\right)+F_{68}\! \left(x , 1\right)}{-1+y}
F_{320}\! \left(x \right) = F_{57}\! \left(x \right)
F_{321}\! \left(x \right) = F_{14}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{272}\! \left(x , 1\right)
F_{323}\! \left(x \right) = F_{14}\! \left(x \right) F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{271}\! \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_14(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_54(x))
Eq(F_5(x), F_1(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_14(x)*F_8(x))
Eq(F_8(x), F_24(x) + F_9(x))
Eq(F_9(x), F_1(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_14(x))
Eq(F_12(x), F_13(x) + F_15(x))
Eq(F_13(x), F_1(x) + F_14(x))
Eq(F_14(x), x)
Eq(F_15(x), F_16(x) + F_19(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_14(x)*F_18(x))
Eq(F_18(x), F_1(x) + F_16(x))
Eq(F_19(x), F_20(x) + F_21(x) + F_23(x))
Eq(F_20(x), 0)
Eq(F_21(x), F_14(x)*F_22(x))
Eq(F_22(x), F_14(x) + F_19(x))
Eq(F_23(x), F_14(x)*F_16(x))
Eq(F_24(x), F_25(x) + F_6(x))
Eq(F_25(x), F_20(x) + F_26(x) + F_50(x))
Eq(F_26(x), F_14(x)*F_27(x))
Eq(F_27(x), F_28(x) + F_34(x))
Eq(F_28(x), F_14(x) + F_29(x))
Eq(F_29(x), F_20(x) + F_23(x) + F_30(x))
Eq(F_30(x), F_14(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_14(x))
Eq(F_33(x), F_19(x))
Eq(F_34(x), F_35(x) + F_37(x))
Eq(F_35(x), F_20(x) + F_26(x) + F_36(x))
Eq(F_36(x), F_14(x)*F_6(x))
Eq(F_37(x), F_20(x) + F_38(x) + F_39(x) + F_46(x))
Eq(F_38(x), 0)
Eq(F_39(x), F_14(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_35(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_20(x) + F_38(x) + F_44(x) + F_46(x))
Eq(F_44(x), F_14(x)*F_45(x))
Eq(F_45(x), F_35(x) + F_43(x))
Eq(F_46(x), F_14(x)*F_47(x))
Eq(F_47(x), F_20(x) + F_26(x) + F_48(x))
Eq(F_48(x), F_14(x)*F_49(x))
Eq(F_49(x), F_47(x) + F_6(x))
Eq(F_50(x), F_14(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), F_35(x) + F_6(x))
Eq(F_53(x), F_43(x) + F_47(x))
Eq(F_54(x), F_20(x) + F_323(x) + F_55(x))
Eq(F_55(x), F_14(x)*F_56(x))
Eq(F_56(x), F_54(x) + F_57(x))
Eq(F_57(x), F_20(x) + F_321(x) + F_58(x) + F_60(x))
Eq(F_58(x), F_14(x)*F_59(x))
Eq(F_59(x), F_57(x))
Eq(F_60(x), F_14(x)*F_61(x))
Eq(F_61(x), F_320(x) + F_62(x))
Eq(F_62(x), F_20(x) + F_63(x) + F_65(x) + F_66(x))
Eq(F_63(x), F_14(x)*F_64(x))
Eq(F_64(x), F_56(x) + F_59(x))
Eq(F_65(x), F_14(x)*F_62(x))
Eq(F_66(x), F_14(x)*F_67(x))
Eq(F_67(x), F_68(x, 1))
Eq(F_68(x, k_0), F_1(x) + F_316(x, k_0) + F_317(x, k_0) + F_318(x, k_0) + F_69(x, k_0))
Eq(F_69(x, k_0), F_14(x)*F_70(x, k_0))
Eq(F_70(x, k_0), F_274(x, k_0) + F_71(x, k_0))
Eq(F_71(x, k_0), (k_0*F_72(x, k_0) - F_72(x, 1))/(k_0 - 1))
Eq(F_72(x, k_0), F_4(x) + F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_107(x, k_0)*F_75(x, k_0))
Eq(F_75(x, k_0), F_105(x, k_0) + F_76(x, k_0))
Eq(F_77(x, k_0), F_314(x, k_0) + F_76(x, k_0))
Eq(F_77(x, k_0), F_185(x, k_0) + F_78(x))
Eq(F_78(x), F_183(x) + F_79(x))
Eq(F_79(x), F_4(x) + F_80(x) + F_83(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_14(x)*F_82(x))
Eq(F_82(x), F_75(x, 1))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_14(x)*F_85(x))
Eq(F_85(x), F_86(x, 1))
Eq(F_87(x, k_0), (-k_0*F_86(x, k_0) + F_86(x, 1))/(1 - k_0))
Eq(F_88(x, k_0), F_138(x, k_0) + F_87(x, k_0))
Eq(F_89(x, k_0), F_107(x, k_0)*F_88(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0))
Eq(F_90(x, k_0), -F_91(x, 1) + (-k_0*F_91(x, k_0) + F_91(x, 1))/(1 - k_0))
Eq(F_91(x, k_0), F_137(x, k_0) + F_20(x) + F_92(x, k_0) + F_94(x, k_0))
Eq(F_92(x, k_0), F_14(x)*F_93(x, k_0))
Eq(F_93(x, k_0), -F_73(x, 1) + (k_0*F_73(x, k_0) - F_73(x, 1))/(k_0 - 1))
Eq(F_94(x, k_0), F_107(x, k_0)*F_95(x, k_0))
Eq(F_95(x, k_0), F_136(x, k_0) + F_96(x, k_0))
Eq(F_96(x, k_0), F_4(x) + F_97(x, k_0))
Eq(F_97(x, k_0), F_98(x, k_0))
Eq(F_98(x, k_0), F_107(x, k_0)*F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0) + F_109(x, k_0) + F_96(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0)*F_14(x))
Eq(F_102(x, k_0), F_103(x, k_0) + F_104(x))
Eq(F_103(x, k_0), (k_0*F_76(x, k_0) - F_76(x, 1))/(k_0 - 1))
Eq(F_104(x), F_105(x, 1))
Eq(F_105(x, k_0), F_106(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0)*F_108(x)*F_75(x, k_0))
Eq(F_107(x, k_0), k_0*x)
Eq(F_108(x), F_18(x))
Eq(F_109(x, k_0), F_110(x, k_0))
Eq(F_110(x, k_0), F_111(x, k_0)*F_14(x))
Eq(F_112(x, k_0), F_111(x, k_0) + F_114(x, k_0))
Eq(F_113(x, k_0), F_107(x, k_0)*F_112(x, k_0))
Eq(F_113(x, k_0), F_90(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0))
Eq(F_115(x, k_0), k_0*F_116(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0) + F_128(x, k_0) + F_133(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0) + F_123(x, k_0) + F_124(x, k_0) + F_125(x, k_0) + F_20(x))
Eq(F_118(x, k_0), F_119(x, k_0)*F_14(x))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_120(x, k_0), (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_14(x)*F_75(x, k_0))
Eq(F_123(x, k_0), F_107(x, k_0)*F_117(x, k_0))
Eq(F_124(x, k_0), F_14(x)*F_96(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0)*F_14(x))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), -F_91(x, k_0) + (-k_0*F_91(x, k_0) + F_91(x, 1))/(1 - k_0))
Eq(F_128(x, k_0), F_129(x, k_0)*F_14(x))
Eq(F_129(x, k_0), F_130(x, k_0))
Eq(F_130(x, k_0), (k_0*F_131(x, k_0) - F_131(x, 1))/(k_0 - 1))
Eq(F_131(x, k_0), F_132(x, k_0))
Eq(F_132(x, k_0), F_108(x)*F_14(x)*F_75(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0)*F_14(x))
Eq(F_135(x, k_0), F_116(x, k_0))
Eq(F_136(x, k_0), k_0*F_117(x, k_0))
Eq(F_137(x, k_0), F_14(x)*F_90(x, k_0))
Eq(F_138(x, k_0), F_139(x, k_0))
Eq(F_139(x, k_0), k_0*F_140(x, k_0))
Eq(F_140(x, k_0), F_141(x, k_0) + F_176(x, k_0))
Eq(F_141(x, k_0), F_142(x, k_0) + F_163(x, k_0))
Eq(F_142(x, k_0), F_143(x)*F_171(x, k_0))
Eq(F_143(x), F_144(x) + F_145(x))
Eq(F_144(x), F_14(x) + F_35(x))
Eq(F_145(x), F_146(x)/F_18(x))
Eq(F_146(x), F_147(x) - F_161(x))
Eq(F_147(x), F_148(x) + F_156(x))
Eq(F_148(x), F_144(x)*F_149(x))
Eq(F_149(x), F_150(x) + F_152(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_108(x)*F_14(x))
Eq(F_152(x), F_153(x) + F_154(x) + F_20(x))
Eq(F_153(x), F_14(x)*F_149(x))
Eq(F_154(x), F_14(x)*F_155(x))
Eq(F_155(x), F_152(x) + F_16(x))
Eq(F_156(x), F_157(x) - F_160(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_14(x)*F_159(x)*F_79(x))
Eq(F_159(x), F_108(x) + F_155(x))
Eq(F_160(x), F_144(x)*F_159(x))
Eq(F_161(x), F_162(x, 1))
Eq(F_162(x, k_0), k_0*F_163(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0) + F_165(x, k_0) + F_20(x))
Eq(F_164(x, k_0), F_107(x, k_0)*F_163(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_166(x, k_0), F_14(x)*F_143(x)*F_167(x, k_0))
Eq(F_167(x, k_0), F_108(x) + F_168(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0) + F_172(x, k_0))
Eq(F_169(x, k_0), F_170(x, k_0))
Eq(F_170(x, k_0), F_107(x, k_0)*F_171(x, k_0))
Eq(F_171(x, k_0), F_1(x) + F_169(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0) + F_175(x, k_0) + F_20(x))
Eq(F_173(x, k_0), F_107(x, k_0)*F_174(x, k_0))
Eq(F_174(x, k_0), F_150(x) + F_172(x, k_0))
Eq(F_175(x, k_0), F_14(x)*F_168(x, k_0))
Eq(F_176(x, k_0), F_177(x, k_0) + F_180(x, k_0) + F_181(x, k_0) + F_20(x))
Eq(F_177(x, k_0), F_14(x)*F_178(x, k_0))
Eq(F_178(x, k_0), F_179(x, k_0))
Eq(F_179(x, k_0), F_14(x)*F_167(x, k_0)*F_82(x))
Eq(F_180(x, k_0), F_107(x, k_0)*F_176(x, k_0))
Eq(F_181(x, k_0), F_182(x, k_0))
Eq(F_182(x, k_0), F_14(x)*F_176(x, k_0))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_108(x)*F_14(x)*F_78(x))
Eq(F_185(x, k_0), F_186(x, k_0) + F_188(x, k_0) + F_189(x, k_0))
Eq(F_186(x, k_0), F_187(x, k_0))
Eq(F_187(x, k_0), F_107(x, k_0)*F_76(x, k_0))
Eq(F_188(x, k_0), F_14(x)*F_185(x, k_0))
Eq(F_189(x, k_0), F_190(x, k_0))
Eq(F_190(x, k_0), F_14(x)*F_191(x, k_0))
Eq(F_191(x, k_0), F_192(x, k_0) + F_204(x, k_0))
Eq(F_193(x, k_0), F_192(x, k_0) + F_203(x, k_0))
Eq(F_194(x, k_0), F_14(x)*F_193(x, k_0))
Eq(F_194(x, k_0), F_195(x, k_0))
Eq(F_195(x, k_0), F_14(x)*F_196(x, k_0))
Eq(F_196(x, k_0), F_197(x, k_0) + F_198(x, k_0))
Eq(F_197(x, k_0), -F_185(x, 1) + (-k_0*F_185(x, k_0) + F_185(x, 1))/(1 - k_0))
Eq(F_199(x, k_0), F_198(x, k_0) + F_202(x, k_0))
Eq(F_200(x, k_0), F_14(x)*F_199(x, k_0))
Eq(F_200(x, k_0), F_201(x, k_0))
Eq(F_201(x, k_0), -F_73(x, k_0) + (-k_0*F_73(x, k_0) + F_73(x, 1))/(1 - k_0))
Eq(F_202(x, k_0), (-k_0*F_77(x, k_0) + F_77(x, 1))/(1 - k_0))
Eq(F_203(x, k_0), F_198(x, k_0))
Eq(F_205(x, k_0), F_157(x) + F_204(x, k_0))
Eq(F_205(x, k_0), F_206(x, k_0) + F_311(x, k_0) + F_312(x, k_0))
Eq(F_206(x, k_0), F_143(x) + F_207(x, k_0))
Eq(F_207(x, k_0), F_20(x) + F_208(x, k_0) + F_295(x, k_0) + F_309(x, k_0) + F_310(x, k_0))
Eq(F_208(x, k_0), F_14(x)*F_209(x, k_0))
Eq(F_209(x, k_0), k_0*F_210(x))
Eq(F_210(x), F_211(x)/F_14(x))
Eq(F_211(x), -F_20(x) + F_212(x) - F_291(x) - F_292(x) - F_294(x))
Eq(F_212(x), -F_143(x) + F_213(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_215(x) - F_288(x))
Eq(F_215(x), F_216(x) + F_287(x))
Eq(F_216(x), F_217(x) - F_258(x))
Eq(F_217(x), F_218(x, 1))
Eq(F_218(x, k_0), F_219(x, k_0) + F_95(x, k_0))
Eq(F_219(x, k_0), F_220(x, k_0))
Eq(F_220(x, k_0), F_14(x)*F_221(x, k_0))
Eq(F_221(x, k_0), F_222(x, k_0) + F_255(x, k_0))
Eq(F_223(x, k_0), F_107(x, k_0)*F_222(x, k_0))
Eq(F_224(x, k_0), F_223(x, k_0) + F_240(x) + F_242(x, k_0) + F_246(x, k_0))
Eq(F_224(x, k_0), F_225(x, k_0) + F_226(x, k_0))
Eq(F_86(x, k_0), F_140(x, k_0) + F_225(x, k_0))
Eq(F_227(x, k_0), F_226(x, k_0) + F_236(x, k_0))
Eq(F_228(x, k_0), F_227(x, k_0) + F_235(x, k_0))
Eq(F_229(x, k_0), F_228(x, k_0) + F_232(x, k_0))
Eq(F_230(x, k_0), F_14(x)*F_229(x, k_0))
Eq(F_230(x, k_0), F_231(x, k_0))
Eq(F_231(x, k_0), -F_73(x, k_0) + (k_0*F_73(x, k_0) - F_73(x, 1))/(k_0 - 1))
Eq(F_232(x, k_0), F_233(x))
Eq(F_233(x), F_234(x, 1))
Eq(F_234(x, k_0), k_0*F_131(x, k_0))
Eq(F_235(x, k_0), k_0*F_178(x, k_0))
Eq(F_237(x, k_0), F_236(x, k_0) + F_239(x, k_0))
Eq(F_238(x, k_0), F_107(x, k_0)*F_237(x, k_0))
Eq(F_238(x, k_0), F_73(x, k_0))
Eq(F_239(x, k_0), k_0*F_141(x, k_0))
Eq(F_240(x), F_241(x, 1))
Eq(F_241(x, k_0), F_186(x, k_0) + F_4(x))
Eq(F_242(x, k_0), F_243(x, k_0))
Eq(F_243(x, k_0), F_14(x)*F_244(x, k_0))
Eq(F_244(x, k_0), F_227(x, k_0) + F_245(x, k_0))
Eq(F_245(x, k_0), F_104(x))
Eq(F_246(x, k_0), F_247(x, k_0))
Eq(F_247(x, k_0), F_14(x)*F_248(x, k_0))
Eq(F_248(x, k_0), (-k_0*F_249(x, k_0) + F_249(x, 1))/(1 - k_0))
Eq(F_249(x, k_0), F_224(x, k_0) + F_250(x, k_0))
Eq(F_250(x, k_0), F_176(x, k_0) + F_251(x, k_0))
Eq(F_251(x, k_0), F_213(x) + F_252(x, k_0) + F_253(x, k_0))
Eq(F_252(x, k_0), F_107(x, k_0)*F_251(x, k_0))
Eq(F_253(x, k_0), F_254(x, k_0))
Eq(F_254(x, k_0), F_14(x)*F_167(x, k_0)*F_213(x))
Eq(F_255(x, k_0), F_256(x, k_0) + F_257(x, k_0))
Eq(F_256(x, k_0), k_0*F_251(x, k_0))
Eq(F_257(x, k_0), k_0*F_176(x, k_0))
Eq(F_258(x), F_259(x, 1))
Eq(F_260(x, k_0), -F_259(x, 1) + (-k_0*F_259(x, k_0) + F_259(x, 1))/(1 - k_0))
Eq(F_261(x, k_0), F_217(x) + F_260(x, k_0))
Eq(F_261(x, k_0), (-k_0*F_262(x, k_0) + F_262(x, 1))/(1 - k_0))
Eq(F_263(x, k_0), F_262(x, k_0) + F_285(x, k_0))
Eq(F_263(x, k_0), F_218(x, k_0) + F_264(x, k_0))
Eq(F_264(x, k_0), F_265(x, k_0))
Eq(F_265(x, k_0), F_266(x, k_0))
Eq(F_266(x, k_0), F_14(x)*F_267(x, k_0))
Eq(F_268(x, k_0), F_107(x, k_0)*F_267(x, k_0))
Eq(F_268(x, k_0), F_269(x, k_0))
Eq(F_270(x, k_0), F_269(x, k_0) + F_284(x))
Eq(F_270(x, k_0), F_271(x, k_0) + F_272(x, k_0))
Eq(F_271(x, k_0), F_4(x) + F_91(x, k_0))
Eq(F_272(x, k_0), F_20(x) + F_273(x, k_0) + F_275(x, k_0) + F_281(x, k_0) + F_282(x, k_0))
Eq(F_273(x, k_0), F_14(x)*F_274(x, k_0))
Eq(F_274(x, k_0), F_231(x, k_0))
Eq(F_275(x, k_0), F_14(x)*F_276(x, k_0))
Eq(F_276(x, k_0), F_277(x, k_0) + F_279(x, k_0))
Eq(F_277(x, k_0), F_240(x) + F_278(x, k_0))
Eq(F_278(x, k_0), k_0*F_213(x))
Eq(F_279(x, k_0), F_280(x))
Eq(F_280(x), F_73(x, 1))
Eq(F_281(x, k_0), F_107(x, k_0)*F_219(x, k_0))
Eq(F_282(x, k_0), F_14(x)*F_283(x, k_0))
Eq(F_283(x, k_0), (-k_0*F_272(x, k_0) + F_272(x, 1))/(1 - k_0))
Eq(F_284(x), F_280(x) + F_4(x))
Eq(F_285(x, k_0), F_286(x, k_0))
Eq(F_286(x, k_0), k_0*F_265(x, k_0))
Eq(F_287(x), F_280(x))
Eq(F_288(x), F_289(x, 1))
Eq(F_289(x, k_0), F_241(x, k_0) + F_290(x, k_0))
Eq(F_290(x, k_0), k_0*F_121(x, k_0))
Eq(F_291(x), F_14(x)*F_213(x))
Eq(F_292(x), F_14(x)*F_293(x))
Eq(F_293(x), F_186(x, 1))
Eq(F_294(x), F_295(x, 1))
Eq(F_295(x, k_0), F_14(x)*F_296(x, k_0))
Eq(F_297(x, k_0), F_296(x, k_0) + F_306(x))
Eq(F_297(x, k_0), F_298(x, k_0))
Eq(F_299(x, k_0), F_298(x, k_0) + F_72(x, k_0))
Eq(F_300(x, k_0), F_14(x)*F_299(x, k_0))
Eq(F_72(x, k_0), F_1(x) + F_300(x, k_0) + F_301(x, k_0) + F_305(x, k_0))
Eq(F_301(x, k_0), F_14(x)*F_302(x, k_0))
Eq(F_302(x, k_0), F_284(x) + F_303(x, k_0))
Eq(F_303(x, k_0), k_0*F_304(x))
Eq(F_304(x), F_280(x))
Eq(F_305(x, k_0), F_107(x, k_0)*F_289(x, k_0))
Eq(F_306(x), F_307(x)/F_14(x))
Eq(F_307(x), F_145(x) - F_20(x) - F_308(x) - F_58(x))
Eq(F_308(x), F_14(x)*F_54(x))
Eq(F_309(x, k_0), F_107(x, k_0)*F_206(x, k_0))
Eq(F_310(x, k_0), F_14(x)*F_186(x, k_0))
Eq(F_311(x, k_0), F_14(x)*F_205(x, k_0))
Eq(F_312(x, k_0), F_313(x, k_0))
Eq(F_313(x, k_0), F_14(x)*F_159(x)*F_206(x, k_0))
Eq(F_314(x, k_0), F_315(x, k_0))
Eq(F_315(x, k_0), F_108(x)*F_14(x)*F_77(x, k_0))
Eq(F_316(x, k_0), F_14(x)*F_277(x, k_0))
Eq(F_317(x, k_0), F_107(x, k_0)*F_218(x, k_0))
Eq(F_318(x, k_0), F_14(x)*F_319(x, k_0))
Eq(F_319(x, k_0), (-k_0*F_68(x, k_0) + F_68(x, 1))/(1 - k_0))
Eq(F_320(x), F_57(x))
Eq(F_321(x), F_14(x)*F_322(x))
Eq(F_322(x), F_272(x, 1))
Eq(F_323(x), F_14(x)*F_324(x))
Eq(F_324(x), F_271(x, 1))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]]}], "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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, {"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": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], 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1], [4, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"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], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"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, 1], [4, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[3, 1]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25698/
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[10,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[10,x]*F[7,x]
F[7,x] = F[278,x]+F[4,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[11,x]
F[10,x] = x
F[11,x] = F[12,x]+F[276,x]
F[12,x] = F[13,x]+F[275,x]
F[13,x] = F[14,x]+F[270,x]+F[273,x]
F[14,x] = F[1,x]+F[15,x]+F[267,x]
F[15,x] = F[10,x]*F[16,x]
F[16,x] = F[17,x,1]
F[17,x,k[0]] = F[18,x,k[0]]+F[4,x]
F[19,x,k[0]] = (F[18,x,k[0]]-F[18,x,1])/(-1+k[0])
F[19,x,k[0]] = F[20,x,k[0]]
F[20,x,k[0]] = (F[21,x,k[0]]*k[0]-F[21,x,1])/(-1+k[0])
F[21,x,k[0]] = F[22,x]+F[23,x,k[0]]
F[22,x] = F[6,x]
F[23,x,k[0]] = F[24,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]*F[38,x,k[0]]
F[25,x,k[0]] = F[148,x,k[0]]+F[26,x,k[0]]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[113,x,k[0]]+F[28,x]
F[28,x] = -F[112,x]+F[29,x]
F[29,x] = F[30,x]+F[39,x]
F[30,x] = F[31,x,1]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[10,x]*F[33,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]+F[7,x]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]*F[38,x,k[0]]
F[37,x,k[0]] = F[10,x]*F[36,x,k[0]]
F[37,x,k[0]] = F[27,x,k[0]]
F[38,x,k[0]] = k[0]*x
F[39,x] = F[40,x,1]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = F[10,x]*F[42,x,k[0]]
F[42,x,k[0]] = 4*F[43,x]+F[44,x,k[0]]+F[46,x,k[0]]
F[43,x] = 0
F[44,x,k[0]] = F[10,x]*F[45,x,k[0]]
F[45,x,k[0]] = 1/(-1+k[0])*(F[42,x,k[0]]*k[0]-F[42,x,1])
F[46,x,k[0]] = F[10,x]*F[47,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]+F[88,x,k[0]]
F[49,x,k[0]] = F[38,x,k[0]]*F[48,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]
F[51,x,k[0]] = F[38,x,k[0]]*F[52,x,k[0]]
F[53,x,k[0]] = F[52,x,k[0]]+F[64,x,k[0]]
F[54,x,k[0]] = F[38,x,k[0]]*F[53,x,k[0]]
F[54,x,k[0]] = F[55,x,k[0]]
F[55,x,k[0]] = F[43,x]+F[56,x,k[0]]+F[58,x,k[0]]+F[60,x,k[0]]
F[56,x,k[0]] = F[10,x]*F[57,x,k[0]]
F[57,x,k[0]] = -k[0]*(-F[18,x,k[0]]+F[18,x,1])/(-1+k[0])
F[58,x,k[0]] = F[10,x]*F[59,x,k[0]]
F[59,x,k[0]] = -k[0]*(F[55,x,1]-F[55,x,k[0]])/(-1+k[0])
F[60,x,k[0]] = F[38,x,k[0]]*F[61,x,k[0]]
F[61,x,k[0]] = F[62,x,1,k[0]]
F[62,x,k[0],k[1]] = (F[63,x,k[0]*k[1]]*k[0]-F[63,x,k[1]])/(-1+k[0])
F[63,x,k[0]] = F[14,x]+F[50,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]
F[65,x,k[0]] = F[38,x,k[0]]*F[66,x,k[0]]
F[66,x,k[0]] = F[67,x,1,k[0]]
F[67,x,k[0],k[1]] = (F[68,x,k[0]*k[1]]*k[0]-F[68,x,k[1]])/(-1+k[0])
F[69,x,k[0]] = F[10,x]*F[68,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]
F[71,x,k[0]] = F[53,x,k[0]]+F[70,x,k[0]]
F[72,x,k[0]] = F[38,x,k[0]]*F[71,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]
F[73,x,k[0]] = F[43,x]+F[60,x,k[0]]+F[74,x,k[0]]+F[85,x,k[0]]+F[87,x,k[0]]
F[74,x,k[0]] = F[10,x]*F[75,x,k[0]]
F[75,x,k[0]] = -k[0]*(F[76,x,1]-F[76,x,k[0]])/(-1+k[0])
F[76,x,k[0]] = F[77,x,k[0]]
F[77,x,k[0]] = F[38,x,k[0]]*F[78,x,k[0]]
F[78,x,k[0]] = F[26,x,k[0]]+F[79,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]+F[84,x,k[0]]
F[80,x,k[0]] = F[7,x]+F[81,x,k[0]]
F[82,x,k[0]] = F[33,x,k[0]]+F[81,x,k[0]]
F[83,x,k[0]] = F[38,x,k[0]]*F[82,x,k[0]]
F[83,x,k[0]] = F[18,x,k[0]]
F[84,x,k[0]] = k[0]*F[27,x,k[0]]
F[85,x,k[0]] = F[10,x]*F[86,x,k[0]]
F[86,x,k[0]] = -k[0]*(F[73,x,1]-F[73,x,k[0]])/(-1+k[0])
F[87,x,k[0]] = F[10,x]*F[50,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]
F[89,x,k[0]] = (F[90,x,k[0]]-F[90,x,1])/(-1+k[0])
F[91,x,k[0]] = F[13,x]+F[90,x,k[0]]
F[92,x,k[0]] = F[10,x]*F[91,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[94,x,k[0]] = F[93,x,k[0]]+F[99,x,k[0]]
F[95,x,k[0]] = F[38,x,k[0]]*F[94,x,k[0]]
F[95,x,k[0]] = F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[38,x,k[0]]*F[98,x,k[0]]
F[98,x,k[0]] = F[100,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[0,x]+F[96,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]
F[101,x,k[0]] = F[10,x]*F[102,x,k[0]]
F[103,x,k[0]] = F[102,x,k[0]]+F[105,x,k[0]]
F[104,x,k[0]] = F[103,x,k[0]]*F[38,x,k[0]]
F[104,x,k[0]] = F[18,x,k[0]]
F[105,x,k[0]] = k[0]*F[106,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]
F[107,x,k[0]] = F[10,x]*F[108,x,k[0]]
F[108,x,k[0]] = F[109,x,1,k[0]]
F[109,x,k[0],k[1]] = (F[110,x,k[0]*k[1]]*k[0]-F[110,x,k[1]])/(-1+k[0])
F[111,x,k[0]] = F[110,x,k[0]]*F[38,x,k[0]]
F[111,x,k[0]] = F[34,x,k[0]]
F[112,x] = F[113,x,1]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[38,x,k[0]]
F[116,x,k[0]] = F[10,x]*F[115,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]+F[147,x,k[0]]+F[43,x]
F[118,x,k[0]] = F[10,x]*F[119,x,k[0]]
F[119,x,k[0]] = 1/(-1+k[0])*(F[120,x,k[0]]*k[0]-F[120,x,1])
F[120,x,k[0]] = 2*F[43,x]+F[121,x,k[0]]+F[122,x,k[0]]
F[121,x,k[0]] = F[10,x]*F[119,x,k[0]]
F[122,x,k[0]] = F[10,x]*F[123,x,k[0]]
F[124,x,k[0]] = 1/(-1+k[0])*(F[123,x,k[0]]*k[0]-F[123,x,1])
F[125,x,k[0]] = F[10,x]*F[124,x,k[0]]
F[126,x,k[0]] = F[125,x,k[0]]+F[146,x,k[0]]+F[43,x]
F[127,x,k[0]] = F[126,x,k[0]]*F[38,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]
F[128,x,k[0]] = F[10,x]*F[129,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]+F[143,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]*F[38,x,k[0]]
F[132,x,k[0]] = F[129,x,k[0]]+F[133,x]
F[133,x] = F[134,x]+F[140,x]
F[134,x] = F[1,x]+F[135,x]+F[137,x]
F[135,x] = F[10,x]*F[136,x]
F[136,x] = F[63,x,1]
F[137,x] = F[10,x]*F[138,x]
F[138,x] = F[139,x,1]
F[139,x,k[0]] = F[130,x,k[0]]+F[134,x]
F[140,x] = F[141,x]
F[141,x] = F[10,x]*F[142,x]
F[142,x] = F[48,x,1]
F[143,x,k[0]] = F[144,x,k[0]]
F[144,x,k[0]] = F[10,x]*F[145,x,k[0]]
F[145,x,k[0]] = -k[0]*(-F[90,x,k[0]]+F[90,x,1])/(-1+k[0])
F[146,x,k[0]] = F[10,x]*F[132,x,k[0]]
F[147,x,k[0]] = F[10,x]*F[27,x,k[0]]
F[148,x,k[0]] = F[149,x,k[0]]+F[266,x,k[0]]
F[149,x,k[0]] = F[150,x]+F[180,x,k[0]]
F[150,x] = -F[257,x]+F[151,x]
F[151,x] = F[152,x,1]
F[153,x,k[0]] = F[152,x,k[0]]+F[264,x,k[0]]
F[154,x,k[0]] = F[153,x,k[0]]+F[259,x,k[0]]
F[155,x,k[0]] = F[10,x]*F[154,x,k[0]]
F[155,x,k[0]] = F[156,x,k[0]]
F[156,x,k[0]] = F[157,x]+F[258,x,k[0]]
F[157,x] = F[158,x]
F[158,x] = F[159,x]+F[22,x]
F[159,x] = F[160,x]
F[160,x] = F[10,x]*F[161,x]
F[161,x] = F[162,x]+F[29,x]
F[162,x] = F[163,x]+F[257,x]
F[163,x] = F[164,x]+F[251,x]
F[164,x] = F[165,x]+F[196,x]
F[165,x] = -F[177,x]+F[166,x]
F[166,x] = F[167,x,1]
F[167,x,k[0]] = k[0]*F[168,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]
F[169,x,k[0]] = F[10,x]*F[170,x,k[0]]
F[171,x,k[0]] = F[170,x,k[0]]*F[38,x,k[0]]
F[171,x,k[0]] = F[172,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]+F[174,x,k[0]]+F[43,x]
F[173,x,k[0]] = F[10,x]*F[81,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]*F[38,x,k[0]]
F[175,x,k[0]] = F[176,x,1,k[0]]
F[176,x,k[0],k[1]] = (F[94,x,k[0]*k[1]]*k[0]-F[94,x,k[1]])/(-1+k[0])
F[177,x] = F[178,x,1]
F[178,x,k[0]] = F[179,x,k[0]]+F[187,x,k[0]]+F[43,x]
F[179,x,k[0]] = F[10,x]*F[180,x,k[0]]
F[180,x,k[0]] = F[181,x,k[0]]+F[186,x,k[0]]+F[43,x]
F[181,x,k[0]] = F[10,x]*F[182,x,k[0]]
F[182,x,k[0]] = -k[0]*(F[183,x,1]-F[183,x,k[0]])/(-1+k[0])
F[184,x,k[0]] = F[10,x]*F[183,x,k[0]]
F[178,x,k[0]] = F[184,x,k[0]]+F[185,x,k[0]]+F[43,x]
F[185,x,k[0]] = F[10,x]*F[172,x,k[0]]
F[186,x,k[0]] = F[10,x]*F[81,x,k[0]]
F[168,x,k[0]] = F[187,x,k[0]]+F[188,x,k[0]]+F[190,x,k[0]]
F[188,x,k[0]] = F[189,x,k[0]]
F[189,x,k[0]] = F[10,x]*F[94,x,k[0]]
F[190,x,k[0]] = F[10,x]*F[191,x,k[0]]
F[192,x,k[0]] = F[191,x,k[0]]+F[195,x,k[0]]
F[193,x,k[0]] = F[192,x,k[0]]*F[38,x,k[0]]
F[193,x,k[0]] = F[194,x,k[0]]
F[194,x,k[0]] = F[18,x,k[0]]+F[23,x,k[0]]
F[195,x,k[0]] = F[27,x,k[0]]+F[82,x,k[0]]
F[196,x] = F[197,x]
F[197,x] = F[198,x,1]
F[199,x,k[0]] = F[198,x,k[0]]+F[202,x]
F[200,x,k[0]] = F[199,x,k[0]]+F[248,x,k[0]]
F[200,x,k[0]] = F[201,x]+F[240,x,k[0]]
F[201,x] = F[202,x]+F[218,x]
F[202,x] = F[203,x]+F[208,x]+F[43,x]
F[203,x] = F[204,x]
F[204,x] = F[205,x,1]
F[205,x,k[0]] = F[10,x]*F[206,x,k[0]]
F[206,x,k[0]] = F[207,x,k[0]]
F[207,x,k[0]] = F[38,x,k[0]]*F[68,x,k[0]]
F[208,x] = F[10,x]*F[209,x]
F[209,x] = F[210,x,1]
F[210,x,k[0]] = F[199,x,k[0]]+F[211,x,k[0]]
F[211,x,k[0]] = F[212,x]+F[215,x,k[0]]
F[212,x] = F[0,x]+F[213,x]
F[213,x] = F[214,x]
F[214,x] = F[10,x]*F[13,x]
F[215,x,k[0]] = F[216,x,k[0]]+F[96,x,k[0]]
F[216,x,k[0]] = F[217,x,k[0]]
F[217,x,k[0]] = F[10,x]*F[34,x,k[0]]
F[218,x] = F[219,x]
F[219,x] = F[10,x]*F[220,x]
F[220,x] = F[221,x]+F[239,x]
F[221,x] = F[222,x]*F[226,x]
F[222,x] = F[223,x]
F[223,x] = F[1,x]+F[224,x]
F[224,x] = F[225,x]
F[225,x] = F[10,x]*F[223,x]
F[226,x] = F[218,x]+F[227,x]
F[227,x] = F[228,x]+F[5,x]
F[228,x] = F[229,x,1]
F[229,x,k[0]] = F[230,x,k[0]]
F[230,x,k[0]] = F[10,x]*F[231,x,k[0]]
F[231,x,k[0]] = F[232,x,k[0]]+F[234,x,k[0]]+F[236,x,k[0]]+F[43,x]
F[232,x,k[0]] = F[10,x]*F[233,x,k[0]]
F[233,x,k[0]] = -k[0]*(F[81,x,1]-F[81,x,k[0]])/(-1+k[0])
F[234,x,k[0]] = F[10,x]*F[235,x,k[0]]
F[235,x,k[0]] = -k[0]*(F[231,x,1]-F[231,x,k[0]])/(-1+k[0])
F[236,x,k[0]] = F[237,x,k[0]]*F[38,x,k[0]]
F[237,x,k[0]] = F[238,x,1,k[0]]
F[238,x,k[0],k[1]] = (F[48,x,k[0]*k[1]]*k[0]-F[48,x,k[1]])/(-1+k[0])
F[239,x] = F[81,x,1]
F[34,x,k[0]] = F[240,x,k[0]]+F[241,x,k[0]]
F[241,x,k[0]] = F[215,x,k[0]]+F[242,x,k[0]]
F[242,x,k[0]] = F[243,x,k[0]]
F[243,x,k[0]] = F[227,x]*F[244,x,k[0]]
F[244,x,k[0]] = F[245,x,k[0]]
F[245,x,k[0]] = F[246,x,k[0]]
F[246,x,k[0]] = F[247,x,k[0]]*F[38,x,k[0]]
F[247,x,k[0]] = F[1,x]+F[245,x,k[0]]
F[248,x,k[0]] = F[249,x,k[0]]
F[249,x,k[0]] = F[218,x]*F[250,x,k[0]]
F[250,x,k[0]] = F[247,x,k[0]]
F[251,x] = 3*F[43,x]+F[252,x]+F[254,x]
F[252,x] = F[253,x]
F[253,x] = F[184,x,1]
F[254,x] = F[255,x]
F[255,x] = F[256,x,1]
F[256,x,k[0]] = F[226,x]*F[250,x,k[0]]*F[38,x,k[0]]
F[257,x] = F[180,x,1]
F[258,x,k[0]] = k[0]*F[159,x]
F[259,x,k[0]] = F[260,x]+F[262,x,k[0]]
F[260,x] = 1/F[10,x]*F[261,x]
F[261,x] = F[157,x]
F[262,x,k[0]] = F[263,x,k[0]]
F[263,x,k[0]] = k[0]*F[29,x]
F[264,x,k[0]] = k[0]*F[265,x]
F[265,x] = F[266,x,1]
F[266,x,k[0]] = k[0]*F[117,x,k[0]]
F[267,x] = F[10,x]*F[268,x]
F[268,x] = F[269,x,1]
F[269,x,k[0]] = F[14,x]+F[55,x,k[0]]
F[270,x] = F[271,x]
F[271,x] = F[10,x]*F[272,x]
F[272,x] = F[82,x,1]
F[273,x] = F[274,x]
F[274,x] = F[10,x]*F[11,x]
F[275,x] = F[231,x,1]
F[276,x] = F[277,x]
F[277,x] = F[206,x,1]
F[278,x] = F[279,x]
F[279,x] = F[10,x]*F[272,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_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{10}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{278}\! \left(x \right)+F_{4}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = x
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{276}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{275}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{270}\! \left(x \right)+F_{273}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)+F_{267}\! \left(x \right)
F_{15}\! \left(x \right) = F_{10}\! \left(x \right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x , 1\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{19}\! \left(x , y\right) = -\frac{-F_{18}\! \left(x , y\right)+F_{18}\! \left(x , 1\right)}{-1+y}
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = -\frac{-F_{21}\! \left(x , y\right) y +F_{21}\! \left(x , 1\right)}{-1+y}
F_{21}\! \left(x , y\right) = F_{22}\! \left(x \right)+F_{23}\! \left(x , y\right)
F_{22}\! \left(x \right) = F_{6}\! \left(x \right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{148}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{39}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x , 1\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)+F_{7}\! \left(x \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_{38}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{36}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = y x
F_{39}\! \left(x \right) = F_{40}\! \left(x , 1\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = 4 F_{43}\! \left(x \right)+F_{44}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{43}\! \left(x \right) = 0
F_{44}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = -\frac{-F_{42}\! \left(x , y\right) y +F_{42}\! \left(x , 1\right)}{-1+y}
F_{46}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{48}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{52}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{52}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{38}\! \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_{43}\! \left(x \right)+F_{56}\! \left(x , y\right)+F_{58}\! \left(x , y\right)+F_{60}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = -\frac{y \left(-F_{18}\! \left(x , y\right)+F_{18}\! \left(x , 1\right)\right)}{-1+y}
F_{58}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = -\frac{y \left(F_{55}\! \left(x , 1\right)-F_{55}\! \left(x , y\right)\right)}{-1+y}
F_{60}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , 1, y\right)
F_{62}\! \left(x , y , z\right) = -\frac{-F_{63}\! \left(x , y z \right) y +F_{63}\! \left(x , z\right)}{-1+y}
F_{63}\! \left(x , y\right) = F_{14}\! \left(x \right)+F_{50}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , 1, y\right)
F_{67}\! \left(x , y , z\right) = -\frac{-F_{68}\! \left(x , y z \right) y +F_{68}\! \left(x , z\right)}{-1+y}
F_{69}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{53}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{71}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{43}\! \left(x \right)+F_{60}\! \left(x , y\right)+F_{74}\! \left(x , y\right)+F_{85}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = -\frac{y \left(F_{76}\! \left(x , 1\right)-F_{76}\! \left(x , y\right)\right)}{-1+y}
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{7}\! \left(x \right)+F_{81}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{82}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = y F_{27}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = -\frac{y \left(F_{73}\! \left(x , 1\right)-F_{73}\! \left(x , y\right)\right)}{-1+y}
F_{87}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{50}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = -\frac{-F_{90}\! \left(x , y\right)+F_{90}\! \left(x , 1\right)}{-1+y}
F_{91}\! \left(x , y\right) = F_{13}\! \left(x \right)+F_{90}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{93}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{94}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{96}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{102}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{105}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{103}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = y F_{106}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{108}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , 1, y\right)
F_{109}\! \left(x , y , z\right) = -\frac{-F_{110}\! \left(x , y z \right) y +F_{110}\! \left(x , z\right)}{-1+y}
F_{111}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{112}\! \left(x \right) = F_{113}\! \left(x , 1\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{115}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{147}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{118}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{119}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = -\frac{-F_{120}\! \left(x , y\right) y +F_{120}\! \left(x , 1\right)}{-1+y}
F_{120}\! \left(x , y\right) = 2 F_{43}\! \left(x \right)+F_{121}\! \left(x , y\right)+F_{122}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{119}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{123}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = -\frac{-F_{123}\! \left(x , y\right) y +F_{123}\! \left(x , 1\right)}{-1+y}
F_{125}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{124}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{125}\! \left(x , y\right)+F_{146}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{127}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{143}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{140}\! \left(x \right)
F_{134}\! \left(x \right) = F_{1}\! \left(x \right)+F_{135}\! \left(x \right)+F_{137}\! \left(x \right)
F_{135}\! \left(x \right) = F_{10}\! \left(x \right) F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{63}\! \left(x , 1\right)
F_{137}\! \left(x \right) = F_{10}\! \left(x \right) F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x , 1\right)
F_{139}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{134}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{10}\! \left(x \right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{48}\! \left(x , 1\right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{145}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = -\frac{y \left(-F_{90}\! \left(x , y\right)+F_{90}\! \left(x , 1\right)\right)}{-1+y}
F_{146}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{132}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{27}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)+F_{266}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x \right)+F_{180}\! \left(x , y\right)
F_{150}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x , 1\right)
F_{153}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{264}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{259}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{154}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{156}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x \right)+F_{258}\! \left(x , y\right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{22}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{10}\! \left(x \right) F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{29}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{257}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{251}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{196}\! \left(x \right)
F_{165}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x , 1\right)
F_{167}\! \left(x , y\right) = y F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{170}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{170}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{174}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{173}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{81}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , 1, y\right)
F_{176}\! \left(x , y , z\right) = -\frac{-F_{94}\! \left(x , y z \right) y +F_{94}\! \left(x , z\right)}{-1+y}
F_{177}\! \left(x \right) = F_{178}\! \left(x , 1\right)
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{187}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{179}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{180}\! \left(x , y\right)
F_{180}\! \left(x , y\right) = F_{181}\! \left(x , y\right)+F_{186}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{181}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{182}\! \left(x , y\right)
F_{182}\! \left(x , y\right) = -\frac{y \left(F_{183}\! \left(x , 1\right)-F_{183}\! \left(x , y\right)\right)}{-1+y}
F_{184}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{183}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{184}\! \left(x , y\right)+F_{185}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{185}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{172}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{81}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{187}\! \left(x , y\right)+F_{188}\! \left(x , y\right)+F_{190}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{189}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{94}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{191}\! \left(x , y\right)
F_{192}\! \left(x , y\right) = F_{191}\! \left(x , y\right)+F_{195}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{192}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{23}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{27}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x , 1\right)
F_{199}\! \left(x , y\right) = F_{198}\! \left(x , y\right)+F_{202}\! \left(x \right)
F_{200}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{248}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x \right)+F_{240}\! \left(x , y\right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{218}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{208}\! \left(x \right)+F_{43}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x , 1\right)
F_{205}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{206}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{207}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{38}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{208}\! \left(x \right) = F_{10}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x , 1\right)
F_{210}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{211}\! \left(x , y\right)
F_{211}\! \left(x , y\right) = F_{212}\! \left(x \right)+F_{215}\! \left(x , y\right)
F_{212}\! \left(x \right) = F_{0}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{10}\! \left(x \right) F_{13}\! \left(x \right)
F_{215}\! \left(x , y\right) = F_{216}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{216}\! \left(x , y\right) = F_{217}\! \left(x , y\right)
F_{217}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{34}\! \left(x , y\right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{10}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{239}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{226}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{1}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{10}\! \left(x \right) F_{223}\! \left(x \right)
F_{226}\! \left(x \right) = F_{218}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{5}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x , 1\right)
F_{229}\! \left(x , y\right) = F_{230}\! \left(x , y\right)
F_{230}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{231}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right)+F_{234}\! \left(x , y\right)+F_{236}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{232}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{233}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = -\frac{y \left(F_{81}\! \left(x , 1\right)-F_{81}\! \left(x , y\right)\right)}{-1+y}
F_{234}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{235}\! \left(x , y\right)
F_{235}\! \left(x , y\right) = -\frac{y \left(F_{231}\! \left(x , 1\right)-F_{231}\! \left(x , y\right)\right)}{-1+y}
F_{236}\! \left(x , y\right) = F_{237}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = F_{238}\! \left(x , 1, y\right)
F_{238}\! \left(x , y , z\right) = -\frac{-F_{48}\! \left(x , y z \right) y +F_{48}\! \left(x , z\right)}{-1+y}
F_{239}\! \left(x \right) = F_{81}\! \left(x , 1\right)
F_{34}\! \left(x , y\right) = F_{240}\! \left(x , y\right)+F_{241}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{215}\! \left(x , y\right)+F_{242}\! \left(x , y\right)
F_{242}\! \left(x , y\right) = F_{243}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{227}\! \left(x \right) F_{244}\! \left(x , y\right)
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_{246}\! \left(x , y\right) = F_{247}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{245}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{249}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{218}\! \left(x \right) F_{250}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{247}\! \left(x , y\right)
F_{251}\! \left(x \right) = 3 F_{43}\! \left(x \right)+F_{252}\! \left(x \right)+F_{254}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{184}\! \left(x , 1\right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x , 1\right)
F_{256}\! \left(x , y\right) = F_{226}\! \left(x \right) F_{250}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{257}\! \left(x \right) = F_{180}\! \left(x , 1\right)
F_{258}\! \left(x , y\right) = y F_{159}\! \left(x \right)
F_{259}\! \left(x , y\right) = F_{260}\! \left(x \right)+F_{262}\! \left(x , y\right)
F_{260}\! \left(x \right) = \frac{F_{261}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{261}\! \left(x \right) = F_{157}\! \left(x \right)
F_{262}\! \left(x , y\right) = F_{263}\! \left(x , y\right)
F_{263}\! \left(x , y\right) = y F_{29}\! \left(x \right)
F_{264}\! \left(x , y\right) = y F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x , 1\right)
F_{266}\! \left(x , y\right) = y F_{117}\! \left(x , y\right)
F_{267}\! \left(x \right) = F_{10}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x , 1\right)
F_{269}\! \left(x , y\right) = F_{14}\! \left(x \right)+F_{55}\! \left(x , y\right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{10}\! \left(x \right) F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{82}\! \left(x , 1\right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{10}\! \left(x \right) F_{11}\! \left(x \right)
F_{275}\! \left(x \right) = F_{231}\! \left(x , 1\right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{206}\! \left(x , 1\right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{10}\! \left(x \right) F_{272}\! \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_10(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_10(x)*F_7(x))
Eq(F_7(x), F_278(x) + F_4(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_11(x))
Eq(F_10(x), x)
Eq(F_11(x), F_12(x) + F_276(x))
Eq(F_12(x), F_13(x) + F_275(x))
Eq(F_13(x), F_14(x) + F_270(x) + F_273(x))
Eq(F_14(x), F_1(x) + F_15(x) + F_267(x))
Eq(F_15(x), F_10(x)*F_16(x))
Eq(F_16(x), F_17(x, 1))
Eq(F_17(x, k_0), F_18(x, k_0) + F_4(x))
Eq(F_19(x, k_0), -F_18(x, k_0) + (-k_0*F_18(x, k_0) + F_18(x, 1))/(1 - k_0))
Eq(F_19(x, k_0), F_20(x, k_0))
Eq(F_20(x, k_0), (-k_0*F_21(x, k_0) + F_21(x, 1))/(1 - k_0))
Eq(F_21(x, k_0), F_22(x) + F_23(x, k_0))
Eq(F_22(x), F_6(x))
Eq(F_23(x, k_0), F_24(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0)*F_38(x, k_0))
Eq(F_25(x, k_0), F_148(x, k_0) + F_26(x, k_0))
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_113(x, k_0) + F_28(x))
Eq(F_28(x), -F_112(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_39(x))
Eq(F_30(x), F_31(x, 1))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_10(x)*F_33(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0) + F_7(x))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0)*F_38(x, k_0))
Eq(F_37(x, k_0), F_10(x)*F_36(x, k_0))
Eq(F_37(x, k_0), F_27(x, k_0))
Eq(F_38(x, k_0), k_0*x)
Eq(F_39(x), F_40(x, 1))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), F_10(x)*F_42(x, k_0))
Eq(F_42(x, k_0), 4*F_43(x) + F_44(x, k_0) + F_46(x, k_0))
Eq(F_43(x), 0)
Eq(F_44(x, k_0), F_10(x)*F_45(x, k_0))
Eq(F_45(x, k_0), (k_0*F_42(x, k_0) - F_42(x, 1))/(k_0 - 1))
Eq(F_46(x, k_0), F_10(x)*F_47(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0) + F_88(x, k_0))
Eq(F_49(x, k_0), F_38(x, k_0)*F_48(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0))
Eq(F_51(x, k_0), F_38(x, k_0)*F_52(x, k_0))
Eq(F_53(x, k_0), F_52(x, k_0) + F_64(x, k_0))
Eq(F_54(x, k_0), F_38(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_43(x) + F_56(x, k_0) + F_58(x, k_0) + F_60(x, k_0))
Eq(F_56(x, k_0), F_10(x)*F_57(x, k_0))
Eq(F_57(x, k_0), -F_18(x, 1) + (k_0*F_18(x, k_0) - F_18(x, 1))/(k_0 - 1))
Eq(F_58(x, k_0), F_10(x)*F_59(x, k_0))
Eq(F_59(x, k_0), -F_55(x, 1) + (k_0*F_55(x, k_0) - F_55(x, 1))/(k_0 - 1))
Eq(F_60(x, k_0), F_38(x, k_0)*F_61(x, k_0))
Eq(F_61(x, k_0), F_62(x, 1, k_0))
Eq(F_62(x, k_0, k_1), (-k_0*k_1*F_63(x, k_0*k_1) + k_1*F_63(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_63(x, k_0), F_14(x) + F_50(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0))
Eq(F_65(x, k_0), F_38(x, k_0)*F_66(x, k_0))
Eq(F_66(x, k_0), F_67(x, 1, k_0))
Eq(F_67(x, k_0, k_1), (-k_0*k_1*F_68(x, k_0*k_1) + k_1*F_68(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_69(x, k_0), F_10(x)*F_68(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_71(x, k_0), F_53(x, k_0) + F_70(x, k_0))
Eq(F_72(x, k_0), F_38(x, k_0)*F_71(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0))
Eq(F_73(x, k_0), F_43(x) + F_60(x, k_0) + F_74(x, k_0) + F_85(x, k_0) + F_87(x, k_0))
Eq(F_74(x, k_0), F_10(x)*F_75(x, k_0))
Eq(F_75(x, k_0), -F_76(x, 1) + (k_0*F_76(x, k_0) - F_76(x, 1))/(k_0 - 1))
Eq(F_76(x, k_0), F_77(x, k_0))
Eq(F_77(x, k_0), F_38(x, k_0)*F_78(x, k_0))
Eq(F_78(x, k_0), F_26(x, k_0) + F_79(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0) + F_84(x, k_0))
Eq(F_80(x, k_0), F_7(x) + F_81(x, k_0))
Eq(F_82(x, k_0), F_33(x, k_0) + F_81(x, k_0))
Eq(F_83(x, k_0), F_38(x, k_0)*F_82(x, k_0))
Eq(F_83(x, k_0), F_18(x, k_0))
Eq(F_84(x, k_0), k_0*F_27(x, k_0))
Eq(F_85(x, k_0), F_10(x)*F_86(x, k_0))
Eq(F_86(x, k_0), -F_73(x, 1) + (k_0*F_73(x, k_0) - F_73(x, 1))/(k_0 - 1))
Eq(F_87(x, k_0), F_10(x)*F_50(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0))
Eq(F_89(x, k_0), -F_90(x, k_0) + (-k_0*F_90(x, k_0) + F_90(x, 1))/(1 - k_0))
Eq(F_91(x, k_0), F_13(x) + F_90(x, k_0))
Eq(F_92(x, k_0), F_10(x)*F_91(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_94(x, k_0), F_93(x, k_0) + F_99(x, k_0))
Eq(F_95(x, k_0), F_38(x, k_0)*F_94(x, k_0))
Eq(F_95(x, k_0), F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_38(x, k_0)*F_98(x, k_0))
Eq(F_98(x, k_0), F_100(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_0(x) + F_96(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0))
Eq(F_101(x, k_0), F_10(x)*F_102(x, k_0))
Eq(F_103(x, k_0), F_102(x, k_0) + F_105(x, k_0))
Eq(F_104(x, k_0), F_103(x, k_0)*F_38(x, k_0))
Eq(F_104(x, k_0), F_18(x, k_0))
Eq(F_105(x, k_0), k_0*F_106(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0))
Eq(F_107(x, k_0), F_10(x)*F_108(x, k_0))
Eq(F_108(x, k_0), F_109(x, 1, k_0))
Eq(F_109(x, k_0, k_1), (-k_0*k_1*F_110(x, k_0*k_1) + k_1*F_110(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_111(x, k_0), F_110(x, k_0)*F_38(x, k_0))
Eq(F_111(x, k_0), F_34(x, k_0))
Eq(F_112(x), F_113(x, 1))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_38(x, k_0))
Eq(F_116(x, k_0), F_10(x)*F_115(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0) + F_147(x, k_0) + F_43(x))
Eq(F_118(x, k_0), F_10(x)*F_119(x, k_0))
Eq(F_119(x, k_0), (k_0*F_120(x, k_0) - F_120(x, 1))/(k_0 - 1))
Eq(F_120(x, k_0), F_121(x, k_0) + F_122(x, k_0) + 2*F_43(x))
Eq(F_121(x, k_0), F_10(x)*F_119(x, k_0))
Eq(F_122(x, k_0), F_10(x)*F_123(x, k_0))
Eq(F_124(x, k_0), (k_0*F_123(x, k_0) - F_123(x, 1))/(k_0 - 1))
Eq(F_125(x, k_0), F_10(x)*F_124(x, k_0))
Eq(F_126(x, k_0), F_125(x, k_0) + F_146(x, k_0) + F_43(x))
Eq(F_127(x, k_0), F_126(x, k_0)*F_38(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0))
Eq(F_128(x, k_0), F_10(x)*F_129(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0) + F_143(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0)*F_38(x, k_0))
Eq(F_132(x, k_0), F_129(x, k_0) + F_133(x))
Eq(F_133(x), F_134(x) + F_140(x))
Eq(F_134(x), F_1(x) + F_135(x) + F_137(x))
Eq(F_135(x), F_10(x)*F_136(x))
Eq(F_136(x), F_63(x, 1))
Eq(F_137(x), F_10(x)*F_138(x))
Eq(F_138(x), F_139(x, 1))
Eq(F_139(x, k_0), F_130(x, k_0) + F_134(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_10(x)*F_142(x))
Eq(F_142(x), F_48(x, 1))
Eq(F_143(x, k_0), F_144(x, k_0))
Eq(F_144(x, k_0), F_10(x)*F_145(x, k_0))
Eq(F_145(x, k_0), -F_90(x, 1) + (k_0*F_90(x, k_0) - F_90(x, 1))/(k_0 - 1))
Eq(F_146(x, k_0), F_10(x)*F_132(x, k_0))
Eq(F_147(x, k_0), F_10(x)*F_27(x, k_0))
Eq(F_148(x, k_0), F_149(x, k_0) + F_266(x, k_0))
Eq(F_149(x, k_0), F_150(x) + F_180(x, k_0))
Eq(F_150(x), F_151(x) - F_257(x))
Eq(F_151(x), F_152(x, 1))
Eq(F_153(x, k_0), F_152(x, k_0) + F_264(x, k_0))
Eq(F_154(x, k_0), F_153(x, k_0) + F_259(x, k_0))
Eq(F_155(x, k_0), F_10(x)*F_154(x, k_0))
Eq(F_155(x, k_0), F_156(x, k_0))
Eq(F_156(x, k_0), F_157(x) + F_258(x, k_0))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x) + F_22(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_10(x)*F_161(x))
Eq(F_161(x), F_162(x) + F_29(x))
Eq(F_162(x), F_163(x) + F_257(x))
Eq(F_163(x), F_164(x) + F_251(x))
Eq(F_164(x), F_165(x) + F_196(x))
Eq(F_165(x), F_166(x) - F_177(x))
Eq(F_166(x), F_167(x, 1))
Eq(F_167(x, k_0), k_0*F_168(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0))
Eq(F_169(x, k_0), F_10(x)*F_170(x, k_0))
Eq(F_171(x, k_0), F_170(x, k_0)*F_38(x, k_0))
Eq(F_171(x, k_0), F_172(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0) + F_174(x, k_0) + F_43(x))
Eq(F_173(x, k_0), F_10(x)*F_81(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0)*F_38(x, k_0))
Eq(F_175(x, k_0), F_176(x, 1, k_0))
Eq(F_176(x, k_0, k_1), (-k_0*k_1*F_94(x, k_0*k_1) + k_1*F_94(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_177(x), F_178(x, 1))
Eq(F_178(x, k_0), F_179(x, k_0) + F_187(x, k_0) + F_43(x))
Eq(F_179(x, k_0), F_10(x)*F_180(x, k_0))
Eq(F_180(x, k_0), F_181(x, k_0) + F_186(x, k_0) + F_43(x))
Eq(F_181(x, k_0), F_10(x)*F_182(x, k_0))
Eq(F_182(x, k_0), -F_183(x, 1) + (k_0*F_183(x, k_0) - F_183(x, 1))/(k_0 - 1))
Eq(F_184(x, k_0), F_10(x)*F_183(x, k_0))
Eq(F_178(x, k_0), F_184(x, k_0) + F_185(x, k_0) + F_43(x))
Eq(F_185(x, k_0), F_10(x)*F_172(x, k_0))
Eq(F_186(x, k_0), F_10(x)*F_81(x, k_0))
Eq(F_168(x, k_0), F_187(x, k_0) + F_188(x, k_0) + F_190(x, k_0))
Eq(F_188(x, k_0), F_189(x, k_0))
Eq(F_189(x, k_0), F_10(x)*F_94(x, k_0))
Eq(F_190(x, k_0), F_10(x)*F_191(x, k_0))
Eq(F_192(x, k_0), F_191(x, k_0) + F_195(x, k_0))
Eq(F_193(x, k_0), F_192(x, k_0)*F_38(x, k_0))
Eq(F_193(x, k_0), F_194(x, k_0))
Eq(F_194(x, k_0), F_18(x, k_0) + F_23(x, k_0))
Eq(F_195(x, k_0), F_27(x, k_0) + F_82(x, k_0))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x, 1))
Eq(F_199(x, k_0), F_198(x, k_0) + F_202(x))
Eq(F_200(x, k_0), F_199(x, k_0) + F_248(x, k_0))
Eq(F_200(x, k_0), F_201(x) + F_240(x, k_0))
Eq(F_201(x), F_202(x) + F_218(x))
Eq(F_202(x), F_203(x) + F_208(x) + F_43(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_205(x, 1))
Eq(F_205(x, k_0), F_10(x)*F_206(x, k_0))
Eq(F_206(x, k_0), F_207(x, k_0))
Eq(F_207(x, k_0), F_38(x, k_0)*F_68(x, k_0))
Eq(F_208(x), F_10(x)*F_209(x))
Eq(F_209(x), F_210(x, 1))
Eq(F_210(x, k_0), F_199(x, k_0) + F_211(x, k_0))
Eq(F_211(x, k_0), F_212(x) + F_215(x, k_0))
Eq(F_212(x), F_0(x) + F_213(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_10(x)*F_13(x))
Eq(F_215(x, k_0), F_216(x, k_0) + F_96(x, k_0))
Eq(F_216(x, k_0), F_217(x, k_0))
Eq(F_217(x, k_0), F_10(x)*F_34(x, k_0))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_10(x)*F_220(x))
Eq(F_220(x), F_221(x) + F_239(x))
Eq(F_221(x), F_222(x)*F_226(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_1(x) + F_224(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_10(x)*F_223(x))
Eq(F_226(x), F_218(x) + F_227(x))
Eq(F_227(x), F_228(x) + F_5(x))
Eq(F_228(x), F_229(x, 1))
Eq(F_229(x, k_0), F_230(x, k_0))
Eq(F_230(x, k_0), F_10(x)*F_231(x, k_0))
Eq(F_231(x, k_0), F_232(x, k_0) + F_234(x, k_0) + F_236(x, k_0) + F_43(x))
Eq(F_232(x, k_0), F_10(x)*F_233(x, k_0))
Eq(F_233(x, k_0), -F_81(x, 1) + (k_0*F_81(x, k_0) - F_81(x, 1))/(k_0 - 1))
Eq(F_234(x, k_0), F_10(x)*F_235(x, k_0))
Eq(F_235(x, k_0), -F_231(x, 1) + (k_0*F_231(x, k_0) - F_231(x, 1))/(k_0 - 1))
Eq(F_236(x, k_0), F_237(x, k_0)*F_38(x, k_0))
Eq(F_237(x, k_0), F_238(x, 1, k_0))
Eq(F_238(x, k_0, k_1), (-k_0*k_1*F_48(x, k_0*k_1) + k_1*F_48(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_239(x), F_81(x, 1))
Eq(F_34(x, k_0), F_240(x, k_0) + F_241(x, k_0))
Eq(F_241(x, k_0), F_215(x, k_0) + F_242(x, k_0))
Eq(F_242(x, k_0), F_243(x, k_0))
Eq(F_243(x, k_0), F_227(x)*F_244(x, k_0))
Eq(F_244(x, k_0), F_245(x, k_0))
Eq(F_245(x, k_0), F_246(x, k_0))
Eq(F_246(x, k_0), F_247(x, k_0)*F_38(x, k_0))
Eq(F_247(x, k_0), F_1(x) + F_245(x, k_0))
Eq(F_248(x, k_0), F_249(x, k_0))
Eq(F_249(x, k_0), F_218(x)*F_250(x, k_0))
Eq(F_250(x, k_0), F_247(x, k_0))
Eq(F_251(x), F_252(x) + F_254(x) + 3*F_43(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_184(x, 1))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_256(x, 1))
Eq(F_256(x, k_0), F_226(x)*F_250(x, k_0)*F_38(x, k_0))
Eq(F_257(x), F_180(x, 1))
Eq(F_258(x, k_0), k_0*F_159(x))
Eq(F_259(x, k_0), F_260(x) + F_262(x, k_0))
Eq(F_260(x), F_261(x)/F_10(x))
Eq(F_261(x), F_157(x))
Eq(F_262(x, k_0), F_263(x, k_0))
Eq(F_263(x, k_0), k_0*F_29(x))
Eq(F_264(x, k_0), k_0*F_265(x))
Eq(F_265(x), F_266(x, 1))
Eq(F_266(x, k_0), k_0*F_117(x, k_0))
Eq(F_267(x), F_10(x)*F_268(x))
Eq(F_268(x), F_269(x, 1))
Eq(F_269(x, k_0), F_14(x) + F_55(x, k_0))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_10(x)*F_272(x))
Eq(F_272(x), F_82(x, 1))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_10(x)*F_11(x))
Eq(F_275(x), F_231(x, 1))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_206(x, 1))
Eq(F_278(x), F_279(x))
Eq(F_279(x), F_10(x)*F_272(x))
Pack JSON:
{"name": "point_and_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.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [1, 3, 4, 2, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0]]}], "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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "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, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 3]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[2, 3], [2, 3]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[2, 3], [2, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [2, 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, 2, 1], "pos": [[0, 0], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 3], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 3], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [2, 3], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 1], [2, 1], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 1], [2, 1], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 1], [2, 3], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 1], [2, 1], [2, 3], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 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