02314_02413_03214_03412_03421_04213_04312_04321
Counting sequence:
1, 1, 2, 6, 24, 112, 568, 3026, 16636, 93422, 532528, 3068772, 17828992, 104231830, 612338244, 3611301582, 21364395016, 126713365888, 753122796664, 4484030678810, 26736812925180, 159621515796022, 953969739034368, 5706554756262468, 34162973280608320, 204660776088893006, 1226797975103661188, 7357647844210403510, 44147413975243837752, 265001670104442211536, 1591288901064885974392, 9558489584813964774338, 57432053491480516943484, 345168539985378013166366, 2074953851548388549445520, 12476019333096283888142500, 75028312038020617035468608, 451282050389699516447198118, 2714799654775491151460282564, 16333836911774342627094387262, 98286502335014026179314600104, 591493390387915706642756657504, 3560015484170430019211630807352, 21428705011731928344077233981514, 128996664899872739728849903104892, 776598183459028098502499326254118, 4675700831057958348069726178959584, 28153144925665137077426871666313860, 169525335705917232355637589974012288, 1020863474300701718899204732482429214, 6147862209945186592535465202530312452, 37025609678680455224670666401668205030, 222997670738006267557429742135515686744, 1343126665573648211199031431800063810096, 8090042437464131163348637265238014187448, 48730466942082276642138450182905657676082, 293538556540818441022486990891135036205564, 1768249322922201883161630940710122832315342, 10652085704202659863245401023753172198747632, 64170840246923552219169486510719504526988260, 386591150798387858632196460813302884079833856, 2329037331541369859672396052364247188752463414, 14031711814942034446499192783040203152014378820, 84538373650926893851065450836044886846841350190, 509337384533261524507837483515104511840809836104, 3068775398751256254605272133318698045651991935552, 18489792219099664293805787639841742995678299917560, 111405302742436341090698796447268020627263629277434, 671252882704322819184428991208583942854332685872124, 4044571585050896798864694762389273934142273805153942, 24370507512136796710545786389792813624293714521128384, 146845943309806274955742100468492238288126220697649348, 884839169549241437280416260651513167819390438646940608, 5331770247974649738683865186412152872500897141775672430, 32127943819070221120157680198358628378931300461390767492, 193596984755602922901978764492596286351246796207375740822, 1166589736970110597634713666446602602010653304177268677240, 7029774405583249951231907836023149396142385516687680688272, 42361183341782765458335715635133458642313968895636149590264, 255268975528509324185802786685092440252564097979677785573410, 1538264634060217869273586829529745875639470661592755384652668, 9269727481369112667899168586260705798967526211496336246534910, 55860600961650467119471742118856073706631815245380411180718928, 336625344912451128348254895595098967169647630080624108151133476, 2028572083418647196830754535921667622170398184298769062405515200, 12224648112487716231088802913953239643092837031759246995590924102, 73668944941246805070478858024936702589504588900870936885221162436, 443950525543190473761912594536890944449270710390502563699387432094, 2675387089531589665217443207358168200075736811592236649454547322088, 16122801302045130302372275899648185757814768985839797886727429380128, 97161922433391941245073630477965901127142243022956600916843528994744, 585535627589288961563529882753839812547449254433368859125028802630954, 3528678508264902748747186625335503865842409801148068179020943743056508, 21265339330235330632575179276594791464967063249166512194530691052882310, 128154518010434367279436053276446250165048715451107300755630872957824416, 772319200951052867636680780050584133282019570153471225200961403097902340, 4654370802468434165526308629104543767849990014147774583764028462437558016, 28049575842309253153960024121672247546535161816062816491851117967628190782, 169041262290781108789738166434991159908767068304419570391863290107368038916, 1018732608327624046376327035903821862638822480019779108382077051322034079174, 6139438948994898810605689813762394853984976110574265377427456343419749499544
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24487/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[20,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 2+F[5,x]^2+(-2+x)*F[5,x]
F[6,x] = F[7,x]
F[7,x] = F[20,x]*F[8,x]
F[8,x] = F[27,x]+F[9,x]
F[9,x] = F[10,x]+F[23,x]
F[10,x] = F[11,x]+F[5,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[20,x]*F[5,x]
F[13,x] = 1/F[18,x]/F[20,x]*F[14,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]+F[21,x]
F[16,x] = F[17,x]
F[17,x] = F[10,x]*F[18,x]*F[20,x]
F[18,x] = 1/F[20,x]*F[19,x]
F[19,x] = F[2,x]
F[20,x] = x
F[21,x] = F[22,x]
F[22,x] = F[13,x]*F[16,x]*F[20,x]
F[23,x] = F[24,x]
F[24,x] = F[20,x]*F[25,x]
F[25,x] = 1/F[20,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[184,x]+F[28,x]
F[28,x] = F[182,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[180,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[20,x]*F[33,x]
F[33,x] = F[176,x]+F[34,x]
F[34,x] = F[129,x]+F[35,x]
F[35,x] = F[31,x]+F[36,x]
F[36,x] = F[37,x]+F[5,x]
F[37,x] = F[38,x]
F[38,x] = F[20,x]*F[39,x]
F[39,x] = F[35,x]+F[40,x]
F[40,x] = F[118,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[20,x]*F[43,x]
F[43,x] = F[44,x]+F[46,x]
F[44,x] = F[45,x]
F[45,x] = F[5,x]^2
F[46,x] = -F[116,x]+F[47,x]
F[47,x] = 1/F[20,x]/F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[30,x]+F[50,x]
F[50,x] = F[51,x]+F[70,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = (1+F[52,x])*x+F[52,x]^2
F[53,x] = F[54,x]
F[54,x] = F[20,x]*F[55,x]
F[55,x] = F[56,x]+F[68,x]
F[56,x] = 1/F[20,x]/F[62,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[20,x]*F[4,x]*F[59,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[61,x]
F[61,x] = F[10,x]*F[20,x]*F[62,x]
F[62,x] = F[5,x]+F[60,x]
F[63,x] = F[64,x]
F[64,x] = F[20,x]*F[62,x]*F[65,x]
F[65,x] = 1/F[20,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = -F[52,x]+F[30,x]
F[68,x] = F[69,x]
F[69,x] = F[10,x]*F[20,x]*F[4,x]
F[70,x] = F[71,x]
F[71,x] = F[20,x]*F[72,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[51,x]*F[62,x]
F[74,x] = F[75,x]+F[78,x]
F[75,x] = F[76,x]
F[76,x] = F[0,x]*F[77,x]
F[77,x] = F[30,x]+F[63,x]
F[78,x] = F[79,x]
F[79,x] = F[20,x]*F[80,x]
F[80,x] = F[115,x]+F[81,x]
F[81,x] = F[82,x]+F[84,x]
F[82,x] = F[77,x]*F[83,x]
F[83,x] = F[10,x]+F[56,x]
F[84,x] = F[85,x]*F[86,x]
F[85,x] = F[62,x]+F[77,x]
F[86,x] = 1/F[5,x]*F[87,x]
F[87,x] = -F[114,x]+F[88,x]
F[88,x] = -F[113,x]+F[89,x]
F[89,x] = 1/F[20,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = -F[111,x]+F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[20,x]*F[94,x]
F[94,x] = -F[99,x]+F[95,x]
F[95,x] = 1/F[20,x]*F[96,x]
F[96,x] = F[97,x]
F[97,x] = -F[98,x]+F[83,x]
F[98,x] = F[0,x]+F[51,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[20,x]*F[4,x]
F[101,x] = 1/F[20,x]*F[102,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]+F[106,x]
F[104,x] = -F[45,x]+F[105,x]
F[105,x] = F[10,x]+F[28,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[20,x]*F[5,x]
F[108,x] = F[103,x]+F[109,x]
F[109,x] = F[110,x]
F[110,x] = F[103,x]*F[13,x]*F[20,x]
F[111,x] = F[112,x]
F[112,x] = F[0,x]*F[52,x]
F[113,x] = F[52,x]*F[68,x]
F[114,x] = F[52,x]*F[83,x]
F[115,x] = F[68,x]*F[77,x]
F[116,x] = F[117,x]
F[117,x] = F[5,x]*F[52,x]
F[118,x] = F[119,x]
F[119,x] = F[120,x]*F[127,x]*F[20,x]
F[120,x] = F[121,x]+F[122,x]
F[121,x] = F[30,x]+F[5,x]
F[122,x] = F[123,x]
F[123,x] = F[121,x]*F[124,x]*F[20,x]
F[124,x] = F[125,x]+F[5,x]
F[125,x] = F[126,x]
F[126,x] = F[124,x]*F[20,x]*F[5,x]
F[127,x] = F[128,x]
F[128,x] = F[121,x]*F[20,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[20,x]
F[131,x] = F[132,x]+F[174,x]
F[132,x] = F[133,x]+F[170,x]
F[133,x] = F[134,x]*F[35,x]
F[134,x] = -F[168,x]+F[135,x]
F[135,x] = F[10,x]+F[136,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[20,x]
F[138,x] = F[139,x]+F[152,x]
F[139,x] = F[140,x]
F[140,x] = F[10,x]*F[141,x]*F[144,x]
F[141,x] = F[1,x]+F[142,x]
F[142,x] = F[143,x]
F[143,x] = F[141,x]*F[20,x]
F[144,x] = F[1,x]+F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[20,x]
F[147,x] = F[144,x]+F[148,x]
F[148,x] = F[142,x]+F[149,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[20,x]
F[151,x] = F[145,x]+F[149,x]
F[152,x] = F[153,x]
F[153,x] = F[10,x]*F[154,x]*F[20,x]
F[154,x] = F[155,x]+F[164,x]
F[155,x] = 1/F[20,x]*F[156,x]
F[156,x] = F[157,x]
F[157,x] = -F[147,x]+F[158,x]
F[158,x] = F[134,x]+F[159,x]
F[159,x] = -F[162,x]+F[160,x]
F[160,x] = F[161,x]
F[161,x] = F[138,x]*F[20,x]
F[162,x] = F[163,x]
F[163,x] = F[164,x]*F[20,x]
F[164,x] = 1/F[20,x]*F[165,x]
F[165,x] = F[166,x]
F[166,x] = -F[167,x]+F[136,x]
F[167,x] = -F[5,x]+F[134,x]
F[168,x] = F[169,x]
F[169,x] = F[138,x]*F[20,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[20,x]*F[85,x]
F[172,x] = 1/F[20,x]*F[173,x]
F[173,x] = F[167,x]
F[174,x] = F[175,x]
F[175,x] = F[172,x]*F[20,x]*F[34,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[20,x]
F[178,x] = 1/F[20,x]*F[179,x]
F[179,x] = F[77,x]
F[180,x] = F[181,x]
F[181,x] = F[134,x]*F[20,x]*F[37,x]
F[182,x] = F[183,x]
F[183,x] = F[13,x]*F[20,x]*F[29,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[20,x]
F[186,x] = F[187,x]+F[310,x]
F[187,x] = F[188,x]
F[188,x] = F[189,x]*F[52,x]
F[189,x] = F[190,x]+F[222,x]
F[190,x] = F[191,x]+F[193,x]
F[191,x] = F[192,x]
F[192,x] = F[4,x]*F[5,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[20,x]*F[5,x]
F[195,x] = 1/F[121,x]/F[20,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = -F[202,x]+F[198,x]
F[198,x] = 1/F[20,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = -F[201,x]+F[23,x]
F[201,x] = F[2,x]+F[53,x]
F[202,x] = F[203,x]
F[203,x] = F[20,x]*F[204,x]*F[5,x]
F[204,x] = 1/F[20,x]*F[205,x]
F[205,x] = F[206,x]
F[206,x] = -F[13,x]+F[207,x]
F[207,x] = F[208,x]+F[83,x]
F[208,x] = -F[218,x]+F[209,x]
F[209,x] = F[210,x]
F[210,x] = F[20,x]*F[211,x]
F[211,x] = 1/F[20,x]*F[212,x]
F[212,x] = F[213,x]
F[213,x] = F[214,x]+F[215,x]
F[214,x] = F[207,x]*F[52,x]
F[215,x] = F[216,x]
F[216,x] = F[195,x]*F[20,x]*F[217,x]
F[217,x] = F[30,x]+F[52,x]
F[218,x] = F[219,x]
F[219,x] = F[20,x]*F[220,x]
F[220,x] = F[221,x]
F[221,x] = F[10,x]*F[195,x]*F[20,x]
F[222,x] = F[223,x]+F[27,x]
F[223,x] = -F[305,x]+F[224,x]
F[224,x] = F[225,x]
F[225,x] = F[20,x]*F[226,x]
F[226,x] = 1/F[20,x]*F[227,x]
F[227,x] = F[228,x]
F[228,x] = F[229,x]+F[232,x]
F[229,x] = F[230,x]
F[230,x] = F[20,x]*F[231,x]
F[231,x] = F[190,x]+F[224,x]
F[232,x] = F[233,x]
F[233,x] = F[20,x]*F[234,x]
F[234,x] = F[235,x]
F[235,x] = F[20,x]*F[236,x]
F[236,x] = 1/F[20,x]*F[237,x]
F[237,x] = F[238,x]
F[238,x] = -F[304,x]+F[239,x]
F[239,x] = 1/F[20,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = F[20,x]*F[242,x]
F[242,x] = 1/F[20,x]*F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[20,x]*F[245,x]
F[245,x] = F[246,x]+F[303,x]
F[246,x] = F[190,x]+F[247,x]
F[247,x] = -F[267,x]+F[248,x]
F[248,x] = 1/F[20,x]*F[249,x]
F[249,x] = F[250,x]
F[250,x] = F[251,x]+F[259,x]
F[251,x] = F[252,x]
F[252,x] = F[20,x]*F[253,x]*F[4,x]
F[253,x] = F[167,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[20,x]*F[256,x]
F[256,x] = 1/F[20,x]*F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[162,x]+F[168,x]
F[259,x] = -F[265,x]+F[260,x]
F[260,x] = F[261,x]
F[261,x] = F[20,x]*F[262,x]
F[262,x] = F[263,x]
F[263,x] = F[195,x]*F[20,x]*F[264,x]
F[264,x] = F[134,x]+F[254,x]
F[265,x] = F[266,x]
F[266,x] = F[193,x]*F[20,x]
F[267,x] = F[268,x]
F[268,x] = F[20,x]*F[269,x]
F[269,x] = 1/F[20,x]*F[270,x]
F[270,x] = F[271,x]
F[271,x] = -F[275,x]+F[272,x]
F[272,x] = 1/F[20,x]*F[273,x]
F[273,x] = F[274,x]
F[274,x] = -F[9,x]+F[207,x]
F[275,x] = F[276,x]
F[276,x] = 1/F[20,x]*F[277,x]
F[277,x] = F[278,x]
F[278,x] = -F[288,x]+F[279,x]
F[279,x] = F[172,x]+F[280,x]
F[280,x] = 1/F[20,x]*F[281,x]
F[281,x] = F[282,x]
F[282,x] = -F[6,x]+F[283,x]
F[283,x] = -F[134,x]+F[284,x]
F[284,x] = F[285,x]+F[4,x]
F[285,x] = F[286,x]
F[286,x] = F[20,x]*F[287,x]
F[287,x] = F[288,x]+F[301,x]
F[288,x] = F[289,x]+F[296,x]
F[289,x] = F[134,x]+F[290,x]
F[290,x] = F[291,x]
F[291,x] = F[20,x]*F[292,x]*F[4,x]
F[292,x] = F[134,x]+F[293,x]
F[293,x] = -F[258,x]+F[294,x]
F[294,x] = 1/F[20,x]*F[295,x]
F[295,x] = F[67,x]
F[296,x] = -F[260,x]+F[297,x]
F[297,x] = F[298,x]
F[298,x] = F[20,x]*F[299,x]
F[299,x] = 1/F[20,x]*F[300,x]
F[300,x] = F[213,x]
F[301,x] = F[302,x]
F[302,x] = -F[9,x]+F[288,x]
F[303,x] = F[247,x]
F[304,x] = F[190,x]+F[228,x]
F[305,x] = -F[9,x]+F[306,x]
F[306,x] = 1/F[20,x]*F[307,x]
F[307,x] = F[308,x]
F[308,x] = F[20,x]*F[309,x]
F[309,x] = F[229,x]+F[9,x]
F[310,x] = -F[339,x]+F[311,x]
F[311,x] = F[312,x]+F[328,x]
F[312,x] = F[313,x]
F[313,x] = F[314,x]*F[4,x]
F[314,x] = F[315,x]+F[46,x]
F[315,x] = -F[324,x]+F[316,x]
F[316,x] = F[317,x]
F[317,x] = F[121,x]*F[20,x]*F[318,x]
F[318,x] = 1/F[20,x]/F[5,x]*F[319,x]
F[319,x] = F[320,x]
F[320,x] = F[11,x]+F[321,x]
F[321,x] = F[322,x]
F[322,x] = F[20,x]*F[323,x]*F[5,x]
F[323,x] = F[30,x]+F[321,x]
F[324,x] = F[325,x]
F[325,x] = F[326,x]*F[5,x]
F[326,x] = F[327,x]+F[52,x]
F[327,x] = F[142,x]*F[52,x]
F[328,x] = -F[337,x]+F[329,x]
F[329,x] = F[330,x]+F[332,x]
F[330,x] = F[331,x]
F[331,x] = F[195,x]*F[20,x]*F[46,x]
F[332,x] = -F[335,x]+F[333,x]
F[333,x] = F[334,x]
F[334,x] = F[121,x]*F[20,x]*F[204,x]
F[335,x] = F[336,x]
F[336,x] = F[222,x]*F[5,x]
F[337,x] = F[338,x]
F[338,x] = F[315,x]*F[4,x]
F[339,x] = F[340,x]+F[345,x]
F[340,x] = F[341,x]+F[343,x]
F[341,x] = F[342,x]
F[342,x] = F[29,x]*F[4,x]
F[343,x] = F[344,x]
F[344,x] = F[195,x]*F[20,x]*F[29,x]
F[345,x] = -F[222,x]+F[202,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_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = F_{5}\! \left(x \right) x +F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+2
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{20}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{27}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{23}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{5}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{18}\! \left(x \right) F_{20}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{21}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{10}\! \left(x \right) F_{18}\! \left(x \right) F_{20}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{2}\! \left(x \right)
F_{20}\! \left(x \right) = x
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{20}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{184}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{182}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{20}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{176}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{129}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{31}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{5}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{20}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{35}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{118}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{20}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{46}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{5} \left(x \right)^{2}
F_{46}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{20}\! \left(x \right) F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{30}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{70}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{52}\! \left(x \right) x +F_{52} \left(x \right)^{2}+x
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{20}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{68}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{20}\! \left(x \right) F_{62}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{63}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{10}\! \left(x \right) F_{20}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{5}\! \left(x \right)+F_{60}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{20}\! \left(x \right) F_{62}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{30}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{10}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{20}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{51}\! \left(x \right) F_{62}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{78}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{0}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{30}\! \left(x \right)+F_{63}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{20}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{115}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{84}\! \left(x \right)
F_{82}\! \left(x \right) = F_{77}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{10}\! \left(x \right)+F_{56}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right) F_{86}\! \left(x \right)
F_{85}\! \left(x \right) = F_{62}\! \left(x \right)+F_{77}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{5}\! \left(x \right)}
F_{87}\! \left(x \right) = -F_{114}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{20}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = \frac{F_{96}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{83}\! \left(x \right)
F_{98}\! \left(x \right) = F_{0}\! \left(x \right)+F_{51}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{106}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{10}\! \left(x \right)+F_{28}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{108}\! \left(x \right) = F_{103}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{103}\! \left(x \right) F_{13}\! \left(x \right) F_{20}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{52}\! \left(x \right)
F_{113}\! \left(x \right) = F_{52}\! \left(x \right) F_{68}\! \left(x \right)
F_{114}\! \left(x \right) = F_{52}\! \left(x \right) F_{83}\! \left(x \right)
F_{115}\! \left(x \right) = F_{68}\! \left(x \right) F_{77}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{5}\! \left(x \right) F_{52}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{127}\! \left(x \right) F_{20}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{122}\! \left(x \right)
F_{121}\! \left(x \right) = F_{30}\! \left(x \right)+F_{5}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{121}\! \left(x \right) F_{124}\! \left(x \right) F_{20}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{5}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{124}\! \left(x \right) F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{121}\! \left(x \right) F_{20}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{20}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{174}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{170}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{35}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{168}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{10}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{20}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{152}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{10}\! \left(x \right) F_{141}\! \left(x \right) F_{144}\! \left(x \right)
F_{141}\! \left(x \right) = F_{1}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{141}\! \left(x \right) F_{20}\! \left(x \right)
F_{144}\! \left(x \right) = F_{1}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{20}\! \left(x \right)
F_{147}\! \left(x \right) = F_{144}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{142}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{20}\! \left(x \right)
F_{151}\! \left(x \right) = F_{145}\! \left(x \right)+F_{149}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{10}\! \left(x \right) F_{154}\! \left(x \right) F_{20}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{164}\! \left(x \right)
F_{155}\! \left(x \right) = \frac{F_{156}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{134}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{138}\! \left(x \right) F_{20}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{20}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{136}\! \left(x \right)
F_{167}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{134}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{138}\! \left(x \right) F_{20}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{20}\! \left(x \right) F_{85}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{167}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{172}\! \left(x \right) F_{20}\! \left(x \right) F_{34}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{20}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{77}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{134}\! \left(x \right) F_{20}\! \left(x \right) F_{37}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right) F_{29}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{20}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{310}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{52}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{222}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{121}\! \left(x \right) F_{20}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{202}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{201}\! \left(x \right)+F_{23}\! \left(x \right)
F_{201}\! \left(x \right) = F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{20}\! \left(x \right) F_{204}\! \left(x \right) F_{5}\! \left(x \right)
F_{204}\! \left(x \right) = \frac{F_{205}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = -F_{13}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{83}\! \left(x \right)
F_{208}\! \left(x \right) = -F_{218}\! \left(x \right)+F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{20}\! \left(x \right) F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = \frac{F_{212}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{215}\! \left(x \right)
F_{214}\! \left(x \right) = F_{207}\! \left(x \right) F_{52}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{30}\! \left(x \right)+F_{52}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{20}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{10}\! \left(x \right) F_{195}\! \left(x \right) F_{20}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{27}\! \left(x \right)
F_{223}\! \left(x \right) = -F_{305}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{20}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = \frac{F_{227}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{232}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{20}\! \left(x \right) F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{190}\! \left(x \right)+F_{224}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{20}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{20}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = \frac{F_{237}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{304}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{20}\! \left(x \right) F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = \frac{F_{243}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{20}\! \left(x \right) F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{303}\! \left(x \right)
F_{246}\! \left(x \right) = F_{190}\! \left(x \right)+F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = -F_{267}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = \frac{F_{249}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{259}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{20}\! \left(x \right) F_{253}\! \left(x \right) F_{4}\! \left(x \right)
F_{253}\! \left(x \right) = F_{167}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{20}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{162}\! \left(x \right)+F_{168}\! \left(x \right)
F_{259}\! \left(x \right) = -F_{265}\! \left(x \right)+F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{20}\! \left(x \right) F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{134}\! \left(x \right)+F_{254}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{193}\! \left(x \right) F_{20}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{20}\! \left(x \right) F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = \frac{F_{270}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = -F_{275}\! \left(x \right)+F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = \frac{F_{273}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{207}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = \frac{F_{277}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = -F_{288}\! \left(x \right)+F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{172}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = \frac{F_{281}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{4}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{20}\! \left(x \right) F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{301}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{296}\! \left(x \right)
F_{289}\! \left(x \right) = F_{134}\! \left(x \right)+F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{20}\! \left(x \right) F_{292}\! \left(x \right) F_{4}\! \left(x \right)
F_{292}\! \left(x \right) = F_{134}\! \left(x \right)+F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = -F_{258}\! \left(x \right)+F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = \frac{F_{295}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{295}\! \left(x \right) = F_{67}\! \left(x \right)
F_{296}\! \left(x \right) = -F_{260}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{20}\! \left(x \right) F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = \frac{F_{300}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{300}\! \left(x \right) = F_{213}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{288}\! \left(x \right)
F_{303}\! \left(x \right) = F_{247}\! \left(x \right)
F_{304}\! \left(x \right) = F_{190}\! \left(x \right)+F_{228}\! \left(x \right)
F_{305}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = \frac{F_{307}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{20}\! \left(x \right) F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{229}\! \left(x \right)+F_{9}\! \left(x \right)
F_{310}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{328}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right) F_{4}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)+F_{46}\! \left(x \right)
F_{315}\! \left(x \right) = -F_{324}\! \left(x \right)+F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{121}\! \left(x \right) F_{20}\! \left(x \right) F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = \frac{F_{319}\! \left(x \right)}{F_{20}\! \left(x \right) F_{5}\! \left(x \right)}
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = F_{11}\! \left(x \right)+F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{20}\! \left(x \right) F_{323}\! \left(x \right) F_{5}\! \left(x \right)
F_{323}\! \left(x \right) = F_{30}\! \left(x \right)+F_{321}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right) F_{5}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{52}\! \left(x \right)
F_{327}\! \left(x \right) = F_{142}\! \left(x \right) F_{52}\! \left(x \right)
F_{328}\! \left(x \right) = -F_{337}\! \left(x \right)+F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{332}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{46}\! \left(x \right)
F_{332}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{121}\! \left(x \right) F_{20}\! \left(x \right) F_{204}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{222}\! \left(x \right) F_{5}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{315}\! \left(x \right) F_{4}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)+F_{345}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{343}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{29}\! \left(x \right)
F_{345}\! \left(x \right) = -F_{222}\! \left(x \right)+F_{202}\! \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_20(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), (x - 2)*F_5(x) + F_5(x)**2 + 2)
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_20(x)*F_8(x))
Eq(F_8(x), F_27(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_23(x))
Eq(F_10(x), F_11(x) + F_5(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_20(x)*F_5(x))
Eq(F_13(x), F_14(x)/(F_18(x)*F_20(x)))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x) + F_21(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_10(x)*F_18(x)*F_20(x))
Eq(F_18(x), F_19(x)/F_20(x))
Eq(F_19(x), F_2(x))
Eq(F_20(x), x)
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_13(x)*F_16(x)*F_20(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_20(x)*F_25(x))
Eq(F_25(x), F_26(x)/F_20(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_184(x) + F_28(x))
Eq(F_28(x), F_182(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_180(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_20(x)*F_33(x))
Eq(F_33(x), F_176(x) + F_34(x))
Eq(F_34(x), F_129(x) + F_35(x))
Eq(F_35(x), F_31(x) + F_36(x))
Eq(F_36(x), F_37(x) + F_5(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_20(x)*F_39(x))
Eq(F_39(x), F_35(x) + F_40(x))
Eq(F_40(x), F_118(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_20(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_46(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_5(x)**2)
Eq(F_46(x), -F_116(x) + F_47(x))
Eq(F_47(x), F_48(x)/(F_20(x)*F_4(x)))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_30(x) + F_50(x))
Eq(F_50(x), F_51(x) + F_70(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), (x - 3)*(F_52(x) + 1) + (F_52(x) + 1)**2 + F_52(x) + 2)
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_20(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_68(x))
Eq(F_56(x), F_57(x)/(F_20(x)*F_62(x)))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_20(x)*F_4(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_10(x)*F_20(x)*F_62(x))
Eq(F_62(x), F_5(x) + F_60(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_20(x)*F_62(x)*F_65(x))
Eq(F_65(x), F_66(x)/F_20(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_30(x) - F_52(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_10(x)*F_20(x)*F_4(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_20(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_51(x)*F_62(x))
Eq(F_74(x), F_75(x) + F_78(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_0(x)*F_77(x))
Eq(F_77(x), F_30(x) + F_63(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_20(x)*F_80(x))
Eq(F_80(x), F_115(x) + F_81(x))
Eq(F_81(x), F_82(x) + F_84(x))
Eq(F_82(x), F_77(x)*F_83(x))
Eq(F_83(x), F_10(x) + F_56(x))
Eq(F_84(x), F_85(x)*F_86(x))
Eq(F_85(x), F_62(x) + F_77(x))
Eq(F_86(x), F_87(x)/F_5(x))
Eq(F_87(x), -F_114(x) + F_88(x))
Eq(F_88(x), -F_113(x) + F_89(x))
Eq(F_89(x), F_90(x)/F_20(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), -F_111(x) + F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_20(x)*F_94(x))
Eq(F_94(x), F_95(x) - F_99(x))
Eq(F_95(x), F_96(x)/F_20(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_83(x) - F_98(x))
Eq(F_98(x), F_0(x) + F_51(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_20(x)*F_4(x))
Eq(F_101(x), F_102(x)/F_20(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x) + F_106(x))
Eq(F_104(x), F_105(x) - F_45(x))
Eq(F_105(x), F_10(x) + F_28(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_20(x)*F_5(x))
Eq(F_108(x), F_103(x) + F_109(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_103(x)*F_13(x)*F_20(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_0(x)*F_52(x))
Eq(F_113(x), F_52(x)*F_68(x))
Eq(F_114(x), F_52(x)*F_83(x))
Eq(F_115(x), F_68(x)*F_77(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_5(x)*F_52(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x)*F_127(x)*F_20(x))
Eq(F_120(x), F_121(x) + F_122(x))
Eq(F_121(x), F_30(x) + F_5(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_121(x)*F_124(x)*F_20(x))
Eq(F_124(x), F_125(x) + F_5(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_124(x)*F_20(x)*F_5(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_121(x)*F_20(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_20(x))
Eq(F_131(x), F_132(x) + F_174(x))
Eq(F_132(x), F_133(x) + F_170(x))
Eq(F_133(x), F_134(x)*F_35(x))
Eq(F_134(x), F_135(x) - F_168(x))
Eq(F_135(x), F_10(x) + F_136(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_20(x))
Eq(F_138(x), F_139(x) + F_152(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_10(x)*F_141(x)*F_144(x))
Eq(F_141(x), F_1(x) + F_142(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_141(x)*F_20(x))
Eq(F_144(x), F_1(x) + F_145(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_20(x))
Eq(F_147(x), F_144(x) + F_148(x))
Eq(F_148(x), F_142(x) + F_149(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_20(x))
Eq(F_151(x), F_145(x) + F_149(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_10(x)*F_154(x)*F_20(x))
Eq(F_154(x), F_155(x) + F_164(x))
Eq(F_155(x), F_156(x)/F_20(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), -F_147(x) + F_158(x))
Eq(F_158(x), F_134(x) + F_159(x))
Eq(F_159(x), F_160(x) - F_162(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_138(x)*F_20(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_164(x)*F_20(x))
Eq(F_164(x), F_165(x)/F_20(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_136(x) - F_167(x))
Eq(F_167(x), F_134(x) - F_5(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_138(x)*F_20(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_20(x)*F_85(x))
Eq(F_172(x), F_173(x)/F_20(x))
Eq(F_173(x), F_167(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_172(x)*F_20(x)*F_34(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_20(x))
Eq(F_178(x), F_179(x)/F_20(x))
Eq(F_179(x), F_77(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_134(x)*F_20(x)*F_37(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_13(x)*F_20(x)*F_29(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_20(x))
Eq(F_186(x), F_187(x) + F_310(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_189(x)*F_52(x))
Eq(F_189(x), F_190(x) + F_222(x))
Eq(F_190(x), F_191(x) + F_193(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_4(x)*F_5(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_20(x)*F_5(x))
Eq(F_195(x), F_196(x)/(F_121(x)*F_20(x)))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x) - F_202(x))
Eq(F_198(x), F_199(x)/F_20(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), -F_201(x) + F_23(x))
Eq(F_201(x), F_2(x) + F_53(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_20(x)*F_204(x)*F_5(x))
Eq(F_204(x), F_205(x)/F_20(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), -F_13(x) + F_207(x))
Eq(F_207(x), F_208(x) + F_83(x))
Eq(F_208(x), F_209(x) - F_218(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_20(x)*F_211(x))
Eq(F_211(x), F_212(x)/F_20(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_214(x) + F_215(x))
Eq(F_214(x), F_207(x)*F_52(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_195(x)*F_20(x)*F_217(x))
Eq(F_217(x), F_30(x) + F_52(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_20(x)*F_220(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_10(x)*F_195(x)*F_20(x))
Eq(F_222(x), F_223(x) + F_27(x))
Eq(F_223(x), F_224(x) - F_305(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_20(x)*F_226(x))
Eq(F_226(x), F_227(x)/F_20(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x) + F_232(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_20(x)*F_231(x))
Eq(F_231(x), F_190(x) + F_224(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_20(x)*F_234(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_20(x)*F_236(x))
Eq(F_236(x), F_237(x)/F_20(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x) - F_304(x))
Eq(F_239(x), F_240(x)/F_20(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_20(x)*F_242(x))
Eq(F_242(x), F_243(x)/F_20(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_20(x)*F_245(x))
Eq(F_245(x), F_246(x) + F_303(x))
Eq(F_246(x), F_190(x) + F_247(x))
Eq(F_247(x), F_248(x) - F_267(x))
Eq(F_248(x), F_249(x)/F_20(x))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_251(x) + F_259(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_20(x)*F_253(x)*F_4(x))
Eq(F_253(x), F_167(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_20(x)*F_256(x))
Eq(F_256(x), F_257(x)/F_20(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_162(x) + F_168(x))
Eq(F_259(x), F_260(x) - F_265(x))
Eq(F_260(x), F_261(x))
Eq(F_261(x), F_20(x)*F_262(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_195(x)*F_20(x)*F_264(x))
Eq(F_264(x), F_134(x) + F_254(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_193(x)*F_20(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_20(x)*F_269(x))
Eq(F_269(x), F_270(x)/F_20(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_272(x) - F_275(x))
Eq(F_272(x), F_273(x)/F_20(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_207(x) - F_9(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_277(x)/F_20(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_279(x) - F_288(x))
Eq(F_279(x), F_172(x) + F_280(x))
Eq(F_280(x), F_281(x)/F_20(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_283(x) - F_6(x))
Eq(F_283(x), -F_134(x) + F_284(x))
Eq(F_284(x), F_285(x) + F_4(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_20(x)*F_287(x))
Eq(F_287(x), F_288(x) + F_301(x))
Eq(F_288(x), F_289(x) + F_296(x))
Eq(F_289(x), F_134(x) + F_290(x))
Eq(F_290(x), F_291(x))
Eq(F_291(x), F_20(x)*F_292(x)*F_4(x))
Eq(F_292(x), F_134(x) + F_293(x))
Eq(F_293(x), -F_258(x) + F_294(x))
Eq(F_294(x), F_295(x)/F_20(x))
Eq(F_295(x), F_67(x))
Eq(F_296(x), -F_260(x) + F_297(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_20(x)*F_299(x))
Eq(F_299(x), F_300(x)/F_20(x))
Eq(F_300(x), F_213(x))
Eq(F_301(x), F_302(x))
Eq(F_302(x), F_288(x) - F_9(x))
Eq(F_303(x), F_247(x))
Eq(F_304(x), F_190(x) + F_228(x))
Eq(F_305(x), F_306(x) - F_9(x))
Eq(F_306(x), F_307(x)/F_20(x))
Eq(F_307(x), F_308(x))
Eq(F_308(x), F_20(x)*F_309(x))
Eq(F_309(x), F_229(x) + F_9(x))
Eq(F_310(x), F_311(x) - F_339(x))
Eq(F_311(x), F_312(x) + F_328(x))
Eq(F_312(x), F_313(x))
Eq(F_313(x), F_314(x)*F_4(x))
Eq(F_314(x), F_315(x) + F_46(x))
Eq(F_315(x), F_316(x) - F_324(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_121(x)*F_20(x)*F_318(x))
Eq(F_318(x), F_319(x)/(F_20(x)*F_5(x)))
Eq(F_319(x), F_320(x))
Eq(F_320(x), F_11(x) + F_321(x))
Eq(F_321(x), F_322(x))
Eq(F_322(x), F_20(x)*F_323(x)*F_5(x))
Eq(F_323(x), F_30(x) + F_321(x))
Eq(F_324(x), F_325(x))
Eq(F_325(x), F_326(x)*F_5(x))
Eq(F_326(x), F_327(x) + F_52(x))
Eq(F_327(x), F_142(x)*F_52(x))
Eq(F_328(x), F_329(x) - F_337(x))
Eq(F_329(x), F_330(x) + F_332(x))
Eq(F_330(x), F_331(x))
Eq(F_331(x), F_195(x)*F_20(x)*F_46(x))
Eq(F_332(x), F_333(x) - F_335(x))
Eq(F_333(x), F_334(x))
Eq(F_334(x), F_121(x)*F_20(x)*F_204(x))
Eq(F_335(x), F_336(x))
Eq(F_336(x), F_222(x)*F_5(x))
Eq(F_337(x), F_338(x))
Eq(F_338(x), F_315(x)*F_4(x))
Eq(F_339(x), F_340(x) + F_345(x))
Eq(F_340(x), F_341(x) + F_343(x))
Eq(F_341(x), F_342(x))
Eq(F_342(x), F_29(x)*F_4(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_195(x)*F_20(x)*F_29(x))
Eq(F_345(x), F_202(x) - F_222(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": 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, 1, 4], [0, 2, 4, 1, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 4, 1, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"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, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"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": [[1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 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"pos": [[2, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [6, 2], [6, 0]]}, {"patt": [0, 2, 1], "pos": [[4, 0], [4, 0], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[4, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[4, 0], [5, 2], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[4, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 1], "pos": [[4, 0], [6, 2], [6, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[5, 0], [5, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[5, 0], [5, 0], [6, 0], [6, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[5, 0], [5, 2], [6, 0], [6, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[5, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[5, 0], [6, 0], [6, 0], [6, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 4], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 4], [0, 4], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], 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"strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 0]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 4, 1, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 4, 1, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25750/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[20,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 2+F[5,x]^2+(-2+x)*F[5,x]
F[6,x] = F[7,x]
F[7,x] = F[20,x]*F[8,x]
F[8,x] = F[27,x]+F[9,x]
F[9,x] = F[10,x]+F[23,x]
F[10,x] = F[11,x]+F[5,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[20,x]*F[5,x]
F[13,x] = 1/F[18,x]/F[20,x]*F[14,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]+F[21,x]
F[16,x] = F[17,x]
F[17,x] = F[10,x]*F[18,x]*F[20,x]
F[18,x] = 1/F[20,x]*F[19,x]
F[19,x] = F[2,x]
F[20,x] = x
F[21,x] = F[22,x]
F[22,x] = F[13,x]*F[16,x]*F[20,x]
F[23,x] = F[24,x]
F[24,x] = F[20,x]*F[25,x]
F[25,x] = 1/F[20,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[184,x]+F[28,x]
F[28,x] = F[182,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[180,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[20,x]*F[33,x]
F[33,x] = F[176,x]+F[34,x]
F[34,x] = F[129,x]+F[35,x]
F[35,x] = F[31,x]+F[36,x]
F[36,x] = F[37,x]+F[5,x]
F[37,x] = F[38,x]
F[38,x] = F[20,x]*F[39,x]
F[39,x] = F[35,x]+F[40,x]
F[40,x] = F[118,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[20,x]*F[43,x]
F[43,x] = F[44,x]+F[46,x]
F[44,x] = F[45,x]
F[45,x] = F[5,x]^2
F[46,x] = -F[116,x]+F[47,x]
F[47,x] = 1/F[20,x]/F[4,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[30,x]+F[50,x]
F[50,x] = F[51,x]+F[70,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = (1+F[52,x])*x+F[52,x]^2
F[53,x] = F[54,x]
F[54,x] = F[20,x]*F[55,x]
F[55,x] = F[56,x]+F[68,x]
F[56,x] = 1/F[20,x]/F[62,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[20,x]*F[4,x]*F[59,x]
F[59,x] = F[60,x]+F[63,x]
F[60,x] = F[61,x]
F[61,x] = F[10,x]*F[20,x]*F[62,x]
F[62,x] = F[5,x]+F[60,x]
F[63,x] = F[64,x]
F[64,x] = F[20,x]*F[62,x]*F[65,x]
F[65,x] = 1/F[20,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = -F[52,x]+F[30,x]
F[68,x] = F[69,x]
F[69,x] = F[10,x]*F[20,x]*F[4,x]
F[70,x] = F[71,x]
F[71,x] = F[20,x]*F[72,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[51,x]*F[62,x]
F[74,x] = F[75,x]+F[78,x]
F[75,x] = F[76,x]
F[76,x] = F[0,x]*F[77,x]
F[77,x] = F[30,x]+F[63,x]
F[78,x] = F[79,x]
F[79,x] = F[20,x]*F[80,x]
F[80,x] = F[115,x]+F[81,x]
F[81,x] = F[82,x]+F[84,x]
F[82,x] = F[77,x]*F[83,x]
F[83,x] = F[10,x]+F[56,x]
F[84,x] = F[85,x]*F[86,x]
F[85,x] = F[62,x]+F[77,x]
F[86,x] = 1/F[5,x]*F[87,x]
F[87,x] = -F[114,x]+F[88,x]
F[88,x] = -F[113,x]+F[89,x]
F[89,x] = 1/F[20,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = -F[111,x]+F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[20,x]*F[94,x]
F[94,x] = -F[99,x]+F[95,x]
F[95,x] = 1/F[20,x]*F[96,x]
F[96,x] = F[97,x]
F[97,x] = -F[98,x]+F[83,x]
F[98,x] = F[0,x]+F[51,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[20,x]*F[4,x]
F[101,x] = 1/F[20,x]*F[102,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]+F[106,x]
F[104,x] = -F[45,x]+F[105,x]
F[105,x] = F[10,x]+F[28,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[20,x]*F[5,x]
F[108,x] = F[103,x]+F[109,x]
F[109,x] = F[110,x]
F[110,x] = F[103,x]*F[13,x]*F[20,x]
F[111,x] = F[112,x]
F[112,x] = F[0,x]*F[52,x]
F[113,x] = F[52,x]*F[68,x]
F[114,x] = F[52,x]*F[83,x]
F[115,x] = F[68,x]*F[77,x]
F[116,x] = F[117,x]
F[117,x] = F[5,x]*F[52,x]
F[118,x] = F[119,x]
F[119,x] = F[120,x]*F[127,x]*F[20,x]
F[120,x] = F[121,x]+F[122,x]
F[121,x] = F[30,x]+F[5,x]
F[122,x] = F[123,x]
F[123,x] = F[121,x]*F[124,x]*F[20,x]
F[124,x] = F[125,x]+F[5,x]
F[125,x] = F[126,x]
F[126,x] = F[124,x]*F[20,x]*F[5,x]
F[127,x] = F[128,x]
F[128,x] = F[121,x]*F[20,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[20,x]
F[131,x] = F[132,x]+F[174,x]
F[132,x] = F[133,x]+F[170,x]
F[133,x] = F[134,x]*F[35,x]
F[134,x] = -F[168,x]+F[135,x]
F[135,x] = F[10,x]+F[136,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[20,x]
F[138,x] = F[139,x]+F[152,x]
F[139,x] = F[140,x]
F[140,x] = F[10,x]*F[141,x]*F[144,x]
F[141,x] = F[1,x]+F[142,x]
F[142,x] = F[143,x]
F[143,x] = F[141,x]*F[20,x]
F[144,x] = F[1,x]+F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[20,x]
F[147,x] = F[144,x]+F[148,x]
F[148,x] = F[142,x]+F[149,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[20,x]
F[151,x] = F[145,x]+F[149,x]
F[152,x] = F[153,x]
F[153,x] = F[10,x]*F[154,x]*F[20,x]
F[154,x] = F[155,x]+F[164,x]
F[155,x] = 1/F[20,x]*F[156,x]
F[156,x] = F[157,x]
F[157,x] = -F[147,x]+F[158,x]
F[158,x] = F[134,x]+F[159,x]
F[159,x] = -F[162,x]+F[160,x]
F[160,x] = F[161,x]
F[161,x] = F[138,x]*F[20,x]
F[162,x] = F[163,x]
F[163,x] = F[164,x]*F[20,x]
F[164,x] = 1/F[20,x]*F[165,x]
F[165,x] = F[166,x]
F[166,x] = -F[167,x]+F[136,x]
F[167,x] = -F[5,x]+F[134,x]
F[168,x] = F[169,x]
F[169,x] = F[138,x]*F[20,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[20,x]*F[85,x]
F[172,x] = 1/F[20,x]*F[173,x]
F[173,x] = F[167,x]
F[174,x] = F[175,x]
F[175,x] = F[172,x]*F[20,x]*F[34,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[20,x]
F[178,x] = 1/F[20,x]*F[179,x]
F[179,x] = F[77,x]
F[180,x] = F[181,x]
F[181,x] = F[134,x]*F[20,x]*F[37,x]
F[182,x] = F[183,x]
F[183,x] = F[13,x]*F[20,x]*F[29,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[20,x]
F[186,x] = F[187,x]+F[310,x]
F[187,x] = F[188,x]
F[188,x] = F[189,x]*F[52,x]
F[189,x] = F[190,x]+F[222,x]
F[190,x] = F[191,x]+F[193,x]
F[191,x] = F[192,x]
F[192,x] = F[4,x]*F[5,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[20,x]*F[5,x]
F[195,x] = 1/F[121,x]/F[20,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = -F[202,x]+F[198,x]
F[198,x] = 1/F[20,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = -F[201,x]+F[23,x]
F[201,x] = F[2,x]+F[53,x]
F[202,x] = F[203,x]
F[203,x] = F[20,x]*F[204,x]*F[5,x]
F[204,x] = 1/F[20,x]*F[205,x]
F[205,x] = F[206,x]
F[206,x] = -F[13,x]+F[207,x]
F[207,x] = F[208,x]+F[83,x]
F[208,x] = -F[218,x]+F[209,x]
F[209,x] = F[210,x]
F[210,x] = F[20,x]*F[211,x]
F[211,x] = 1/F[20,x]*F[212,x]
F[212,x] = F[213,x]
F[213,x] = F[214,x]+F[215,x]
F[214,x] = F[207,x]*F[52,x]
F[215,x] = F[216,x]
F[216,x] = F[195,x]*F[20,x]*F[217,x]
F[217,x] = F[30,x]+F[52,x]
F[218,x] = F[219,x]
F[219,x] = F[20,x]*F[220,x]
F[220,x] = F[221,x]
F[221,x] = F[10,x]*F[195,x]*F[20,x]
F[222,x] = F[223,x]+F[27,x]
F[223,x] = -F[305,x]+F[224,x]
F[224,x] = F[225,x]
F[225,x] = F[20,x]*F[226,x]
F[226,x] = 1/F[20,x]*F[227,x]
F[227,x] = F[228,x]
F[228,x] = F[229,x]+F[232,x]
F[229,x] = F[230,x]
F[230,x] = F[20,x]*F[231,x]
F[231,x] = F[190,x]+F[224,x]
F[232,x] = F[233,x]
F[233,x] = F[20,x]*F[234,x]
F[234,x] = F[235,x]
F[235,x] = F[20,x]*F[236,x]
F[236,x] = 1/F[20,x]*F[237,x]
F[237,x] = F[238,x]
F[238,x] = -F[304,x]+F[239,x]
F[239,x] = 1/F[20,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = F[20,x]*F[242,x]
F[242,x] = 1/F[20,x]*F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[20,x]*F[245,x]
F[245,x] = F[246,x]+F[303,x]
F[246,x] = F[190,x]+F[247,x]
F[247,x] = -F[267,x]+F[248,x]
F[248,x] = 1/F[20,x]*F[249,x]
F[249,x] = F[250,x]
F[250,x] = F[251,x]+F[259,x]
F[251,x] = F[252,x]
F[252,x] = F[20,x]*F[253,x]*F[4,x]
F[253,x] = F[167,x]+F[254,x]
F[254,x] = F[255,x]
F[255,x] = F[20,x]*F[256,x]
F[256,x] = 1/F[20,x]*F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[162,x]+F[168,x]
F[259,x] = -F[265,x]+F[260,x]
F[260,x] = F[261,x]
F[261,x] = F[20,x]*F[262,x]
F[262,x] = F[263,x]
F[263,x] = F[195,x]*F[20,x]*F[264,x]
F[264,x] = F[134,x]+F[254,x]
F[265,x] = F[266,x]
F[266,x] = F[193,x]*F[20,x]
F[267,x] = F[268,x]
F[268,x] = F[20,x]*F[269,x]
F[269,x] = 1/F[20,x]*F[270,x]
F[270,x] = F[271,x]
F[271,x] = -F[275,x]+F[272,x]
F[272,x] = 1/F[20,x]*F[273,x]
F[273,x] = F[274,x]
F[274,x] = -F[9,x]+F[207,x]
F[275,x] = F[276,x]
F[276,x] = 1/F[20,x]*F[277,x]
F[277,x] = F[278,x]
F[278,x] = -F[288,x]+F[279,x]
F[279,x] = F[172,x]+F[280,x]
F[280,x] = 1/F[20,x]*F[281,x]
F[281,x] = F[282,x]
F[282,x] = -F[6,x]+F[283,x]
F[283,x] = -F[134,x]+F[284,x]
F[284,x] = F[285,x]+F[4,x]
F[285,x] = F[286,x]
F[286,x] = F[20,x]*F[287,x]
F[287,x] = F[288,x]+F[301,x]
F[288,x] = F[289,x]+F[296,x]
F[289,x] = F[134,x]+F[290,x]
F[290,x] = F[291,x]
F[291,x] = F[20,x]*F[292,x]*F[4,x]
F[292,x] = F[134,x]+F[293,x]
F[293,x] = -F[258,x]+F[294,x]
F[294,x] = 1/F[20,x]*F[295,x]
F[295,x] = F[67,x]
F[296,x] = -F[260,x]+F[297,x]
F[297,x] = F[298,x]
F[298,x] = F[20,x]*F[299,x]
F[299,x] = 1/F[20,x]*F[300,x]
F[300,x] = F[213,x]
F[301,x] = F[302,x]
F[302,x] = -F[9,x]+F[288,x]
F[303,x] = F[247,x]
F[304,x] = F[190,x]+F[228,x]
F[305,x] = -F[9,x]+F[306,x]
F[306,x] = 1/F[20,x]*F[307,x]
F[307,x] = F[308,x]
F[308,x] = F[20,x]*F[309,x]
F[309,x] = F[229,x]+F[9,x]
F[310,x] = -F[339,x]+F[311,x]
F[311,x] = F[312,x]+F[328,x]
F[312,x] = F[313,x]
F[313,x] = F[314,x]*F[4,x]
F[314,x] = F[315,x]+F[46,x]
F[315,x] = -F[324,x]+F[316,x]
F[316,x] = F[317,x]
F[317,x] = F[121,x]*F[20,x]*F[318,x]
F[318,x] = 1/F[20,x]/F[5,x]*F[319,x]
F[319,x] = F[320,x]
F[320,x] = F[11,x]+F[321,x]
F[321,x] = F[322,x]
F[322,x] = F[20,x]*F[323,x]*F[5,x]
F[323,x] = F[30,x]+F[321,x]
F[324,x] = F[325,x]
F[325,x] = F[326,x]*F[5,x]
F[326,x] = F[327,x]+F[52,x]
F[327,x] = F[142,x]*F[52,x]
F[328,x] = -F[337,x]+F[329,x]
F[329,x] = F[330,x]+F[332,x]
F[330,x] = F[331,x]
F[331,x] = F[195,x]*F[20,x]*F[46,x]
F[332,x] = -F[335,x]+F[333,x]
F[333,x] = F[334,x]
F[334,x] = F[121,x]*F[20,x]*F[204,x]
F[335,x] = F[336,x]
F[336,x] = F[222,x]*F[5,x]
F[337,x] = F[338,x]
F[338,x] = F[315,x]*F[4,x]
F[339,x] = F[340,x]+F[345,x]
F[340,x] = F[341,x]+F[343,x]
F[341,x] = F[342,x]
F[342,x] = F[29,x]*F[4,x]
F[343,x] = F[344,x]
F[344,x] = F[195,x]*F[20,x]*F[29,x]
F[345,x] = -F[222,x]+F[202,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_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = F_{5}\! \left(x \right) x +F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+2
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{20}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{27}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{23}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{5}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{18}\! \left(x \right) F_{20}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{21}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{10}\! \left(x \right) F_{18}\! \left(x \right) F_{20}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{2}\! \left(x \right)
F_{20}\! \left(x \right) = x
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{20}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{184}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{182}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{20}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{176}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{129}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{31}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{5}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{20}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{35}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{118}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{20}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{46}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{5} \left(x \right)^{2}
F_{46}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{20}\! \left(x \right) F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{30}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{70}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{52}\! \left(x \right) x +F_{52} \left(x \right)^{2}+x
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{20}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{68}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{20}\! \left(x \right) F_{62}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{63}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{10}\! \left(x \right) F_{20}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{5}\! \left(x \right)+F_{60}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{20}\! \left(x \right) F_{62}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{30}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{10}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{20}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{51}\! \left(x \right) F_{62}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{78}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{0}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{30}\! \left(x \right)+F_{63}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{20}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{115}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{84}\! \left(x \right)
F_{82}\! \left(x \right) = F_{77}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{10}\! \left(x \right)+F_{56}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right) F_{86}\! \left(x \right)
F_{85}\! \left(x \right) = F_{62}\! \left(x \right)+F_{77}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{5}\! \left(x \right)}
F_{87}\! \left(x \right) = -F_{114}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{20}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = \frac{F_{96}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{83}\! \left(x \right)
F_{98}\! \left(x \right) = F_{0}\! \left(x \right)+F_{51}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{106}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{10}\! \left(x \right)+F_{28}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{108}\! \left(x \right) = F_{103}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{103}\! \left(x \right) F_{13}\! \left(x \right) F_{20}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{52}\! \left(x \right)
F_{113}\! \left(x \right) = F_{52}\! \left(x \right) F_{68}\! \left(x \right)
F_{114}\! \left(x \right) = F_{52}\! \left(x \right) F_{83}\! \left(x \right)
F_{115}\! \left(x \right) = F_{68}\! \left(x \right) F_{77}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{5}\! \left(x \right) F_{52}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{127}\! \left(x \right) F_{20}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{122}\! \left(x \right)
F_{121}\! \left(x \right) = F_{30}\! \left(x \right)+F_{5}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{121}\! \left(x \right) F_{124}\! \left(x \right) F_{20}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{5}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{124}\! \left(x \right) F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{121}\! \left(x \right) F_{20}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{20}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{174}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{170}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{35}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{168}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{10}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{20}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{152}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{10}\! \left(x \right) F_{141}\! \left(x \right) F_{144}\! \left(x \right)
F_{141}\! \left(x \right) = F_{1}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{141}\! \left(x \right) F_{20}\! \left(x \right)
F_{144}\! \left(x \right) = F_{1}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{20}\! \left(x \right)
F_{147}\! \left(x \right) = F_{144}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{142}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{20}\! \left(x \right)
F_{151}\! \left(x \right) = F_{145}\! \left(x \right)+F_{149}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{10}\! \left(x \right) F_{154}\! \left(x \right) F_{20}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{164}\! \left(x \right)
F_{155}\! \left(x \right) = \frac{F_{156}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{134}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{138}\! \left(x \right) F_{20}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{20}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{136}\! \left(x \right)
F_{167}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{134}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{138}\! \left(x \right) F_{20}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{20}\! \left(x \right) F_{85}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{167}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{172}\! \left(x \right) F_{20}\! \left(x \right) F_{34}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{20}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{77}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{134}\! \left(x \right) F_{20}\! \left(x \right) F_{37}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right) F_{29}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{20}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{310}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{52}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{222}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{5}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{121}\! \left(x \right) F_{20}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{202}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{201}\! \left(x \right)+F_{23}\! \left(x \right)
F_{201}\! \left(x \right) = F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{20}\! \left(x \right) F_{204}\! \left(x \right) F_{5}\! \left(x \right)
F_{204}\! \left(x \right) = \frac{F_{205}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = -F_{13}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{83}\! \left(x \right)
F_{208}\! \left(x \right) = -F_{218}\! \left(x \right)+F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{20}\! \left(x \right) F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = \frac{F_{212}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{215}\! \left(x \right)
F_{214}\! \left(x \right) = F_{207}\! \left(x \right) F_{52}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{30}\! \left(x \right)+F_{52}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{20}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{10}\! \left(x \right) F_{195}\! \left(x \right) F_{20}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{27}\! \left(x \right)
F_{223}\! \left(x \right) = -F_{305}\! \left(x \right)+F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{20}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = \frac{F_{227}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{232}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{20}\! \left(x \right) F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{190}\! \left(x \right)+F_{224}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{20}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{20}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = \frac{F_{237}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{304}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{20}\! \left(x \right) F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = \frac{F_{243}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{20}\! \left(x \right) F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{303}\! \left(x \right)
F_{246}\! \left(x \right) = F_{190}\! \left(x \right)+F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = -F_{267}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = \frac{F_{249}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{259}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{20}\! \left(x \right) F_{253}\! \left(x \right) F_{4}\! \left(x \right)
F_{253}\! \left(x \right) = F_{167}\! \left(x \right)+F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{20}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{162}\! \left(x \right)+F_{168}\! \left(x \right)
F_{259}\! \left(x \right) = -F_{265}\! \left(x \right)+F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{20}\! \left(x \right) F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{134}\! \left(x \right)+F_{254}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{193}\! \left(x \right) F_{20}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{20}\! \left(x \right) F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = \frac{F_{270}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = -F_{275}\! \left(x \right)+F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = \frac{F_{273}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{207}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = \frac{F_{277}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = -F_{288}\! \left(x \right)+F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{172}\! \left(x \right)+F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = \frac{F_{281}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{4}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{20}\! \left(x \right) F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{301}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{296}\! \left(x \right)
F_{289}\! \left(x \right) = F_{134}\! \left(x \right)+F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{20}\! \left(x \right) F_{292}\! \left(x \right) F_{4}\! \left(x \right)
F_{292}\! \left(x \right) = F_{134}\! \left(x \right)+F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = -F_{258}\! \left(x \right)+F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = \frac{F_{295}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{295}\! \left(x \right) = F_{67}\! \left(x \right)
F_{296}\! \left(x \right) = -F_{260}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{20}\! \left(x \right) F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = \frac{F_{300}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{300}\! \left(x \right) = F_{213}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{288}\! \left(x \right)
F_{303}\! \left(x \right) = F_{247}\! \left(x \right)
F_{304}\! \left(x \right) = F_{190}\! \left(x \right)+F_{228}\! \left(x \right)
F_{305}\! \left(x \right) = -F_{9}\! \left(x \right)+F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = \frac{F_{307}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)
F_{308}\! \left(x \right) = F_{20}\! \left(x \right) F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{229}\! \left(x \right)+F_{9}\! \left(x \right)
F_{310}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{328}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right) F_{4}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)+F_{46}\! \left(x \right)
F_{315}\! \left(x \right) = -F_{324}\! \left(x \right)+F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{121}\! \left(x \right) F_{20}\! \left(x \right) F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = \frac{F_{319}\! \left(x \right)}{F_{20}\! \left(x \right) F_{5}\! \left(x \right)}
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = F_{11}\! \left(x \right)+F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{20}\! \left(x \right) F_{323}\! \left(x \right) F_{5}\! \left(x \right)
F_{323}\! \left(x \right) = F_{30}\! \left(x \right)+F_{321}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right) F_{5}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{52}\! \left(x \right)
F_{327}\! \left(x \right) = F_{142}\! \left(x \right) F_{52}\! \left(x \right)
F_{328}\! \left(x \right) = -F_{337}\! \left(x \right)+F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)+F_{332}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{46}\! \left(x \right)
F_{332}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{121}\! \left(x \right) F_{20}\! \left(x \right) F_{204}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{222}\! \left(x \right) F_{5}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{315}\! \left(x \right) F_{4}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)+F_{345}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{343}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right) F_{29}\! \left(x \right)
F_{345}\! \left(x \right) = -F_{222}\! \left(x \right)+F_{202}\! \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_20(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), (x - 2)*F_5(x) + F_5(x)**2 + 2)
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_20(x)*F_8(x))
Eq(F_8(x), F_27(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_23(x))
Eq(F_10(x), F_11(x) + F_5(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_20(x)*F_5(x))
Eq(F_13(x), F_14(x)/(F_18(x)*F_20(x)))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x) + F_21(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_10(x)*F_18(x)*F_20(x))
Eq(F_18(x), F_19(x)/F_20(x))
Eq(F_19(x), F_2(x))
Eq(F_20(x), x)
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_13(x)*F_16(x)*F_20(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_20(x)*F_25(x))
Eq(F_25(x), F_26(x)/F_20(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_184(x) + F_28(x))
Eq(F_28(x), F_182(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_180(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_20(x)*F_33(x))
Eq(F_33(x), F_176(x) + F_34(x))
Eq(F_34(x), F_129(x) + F_35(x))
Eq(F_35(x), F_31(x) + F_36(x))
Eq(F_36(x), F_37(x) + F_5(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_20(x)*F_39(x))
Eq(F_39(x), F_35(x) + F_40(x))
Eq(F_40(x), F_118(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_20(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_46(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_5(x)**2)
Eq(F_46(x), -F_116(x) + F_47(x))
Eq(F_47(x), F_48(x)/(F_20(x)*F_4(x)))
Eq(F_48(x), F_49(x))
Eq(F_49(x), -F_30(x) + F_50(x))
Eq(F_50(x), F_51(x) + F_70(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), (x - 3)*(F_52(x) + 1) + (F_52(x) + 1)**2 + F_52(x) + 2)
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_20(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_68(x))
Eq(F_56(x), F_57(x)/(F_20(x)*F_62(x)))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_20(x)*F_4(x)*F_59(x))
Eq(F_59(x), F_60(x) + F_63(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_10(x)*F_20(x)*F_62(x))
Eq(F_62(x), F_5(x) + F_60(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_20(x)*F_62(x)*F_65(x))
Eq(F_65(x), F_66(x)/F_20(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_30(x) - F_52(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_10(x)*F_20(x)*F_4(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_20(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_51(x)*F_62(x))
Eq(F_74(x), F_75(x) + F_78(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_0(x)*F_77(x))
Eq(F_77(x), F_30(x) + F_63(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_20(x)*F_80(x))
Eq(F_80(x), F_115(x) + F_81(x))
Eq(F_81(x), F_82(x) + F_84(x))
Eq(F_82(x), F_77(x)*F_83(x))
Eq(F_83(x), F_10(x) + F_56(x))
Eq(F_84(x), F_85(x)*F_86(x))
Eq(F_85(x), F_62(x) + F_77(x))
Eq(F_86(x), F_87(x)/F_5(x))
Eq(F_87(x), -F_114(x) + F_88(x))
Eq(F_88(x), -F_113(x) + F_89(x))
Eq(F_89(x), F_90(x)/F_20(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), -F_111(x) + F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_20(x)*F_94(x))
Eq(F_94(x), F_95(x) - F_99(x))
Eq(F_95(x), F_96(x)/F_20(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_83(x) - F_98(x))
Eq(F_98(x), F_0(x) + F_51(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_20(x)*F_4(x))
Eq(F_101(x), F_102(x)/F_20(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x) + F_106(x))
Eq(F_104(x), F_105(x) - F_45(x))
Eq(F_105(x), F_10(x) + F_28(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_20(x)*F_5(x))
Eq(F_108(x), F_103(x) + F_109(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_103(x)*F_13(x)*F_20(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_0(x)*F_52(x))
Eq(F_113(x), F_52(x)*F_68(x))
Eq(F_114(x), F_52(x)*F_83(x))
Eq(F_115(x), F_68(x)*F_77(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_5(x)*F_52(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x)*F_127(x)*F_20(x))
Eq(F_120(x), F_121(x) + F_122(x))
Eq(F_121(x), F_30(x) + F_5(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_121(x)*F_124(x)*F_20(x))
Eq(F_124(x), F_125(x) + F_5(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_124(x)*F_20(x)*F_5(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_121(x)*F_20(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_20(x))
Eq(F_131(x), F_132(x) + F_174(x))
Eq(F_132(x), F_133(x) + F_170(x))
Eq(F_133(x), F_134(x)*F_35(x))
Eq(F_134(x), F_135(x) - F_168(x))
Eq(F_135(x), F_10(x) + F_136(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_20(x))
Eq(F_138(x), F_139(x) + F_152(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_10(x)*F_141(x)*F_144(x))
Eq(F_141(x), F_1(x) + F_142(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_141(x)*F_20(x))
Eq(F_144(x), F_1(x) + F_145(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_20(x))
Eq(F_147(x), F_144(x) + F_148(x))
Eq(F_148(x), F_142(x) + F_149(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_20(x))
Eq(F_151(x), F_145(x) + F_149(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_10(x)*F_154(x)*F_20(x))
Eq(F_154(x), F_155(x) + F_164(x))
Eq(F_155(x), F_156(x)/F_20(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), -F_147(x) + F_158(x))
Eq(F_158(x), F_134(x) + F_159(x))
Eq(F_159(x), F_160(x) - F_162(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_138(x)*F_20(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_164(x)*F_20(x))
Eq(F_164(x), F_165(x)/F_20(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_136(x) - F_167(x))
Eq(F_167(x), F_134(x) - F_5(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_138(x)*F_20(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_20(x)*F_85(x))
Eq(F_172(x), F_173(x)/F_20(x))
Eq(F_173(x), F_167(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_172(x)*F_20(x)*F_34(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_20(x))
Eq(F_178(x), F_179(x)/F_20(x))
Eq(F_179(x), F_77(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_134(x)*F_20(x)*F_37(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_13(x)*F_20(x)*F_29(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_20(x))
Eq(F_186(x), F_187(x) + F_310(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_189(x)*F_52(x))
Eq(F_189(x), F_190(x) + F_222(x))
Eq(F_190(x), F_191(x) + F_193(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_4(x)*F_5(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_20(x)*F_5(x))
Eq(F_195(x), F_196(x)/(F_121(x)*F_20(x)))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x) - F_202(x))
Eq(F_198(x), F_199(x)/F_20(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), -F_201(x) + F_23(x))
Eq(F_201(x), F_2(x) + F_53(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_20(x)*F_204(x)*F_5(x))
Eq(F_204(x), F_205(x)/F_20(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), -F_13(x) + F_207(x))
Eq(F_207(x), F_208(x) + F_83(x))
Eq(F_208(x), F_209(x) - F_218(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_20(x)*F_211(x))
Eq(F_211(x), F_212(x)/F_20(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_214(x) + F_215(x))
Eq(F_214(x), F_207(x)*F_52(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_195(x)*F_20(x)*F_217(x))
Eq(F_217(x), F_30(x) + F_52(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_20(x)*F_220(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_10(x)*F_195(x)*F_20(x))
Eq(F_222(x), F_223(x) + F_27(x))
Eq(F_223(x), F_224(x) - F_305(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_20(x)*F_226(x))
Eq(F_226(x), F_227(x)/F_20(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x) + F_232(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_20(x)*F_231(x))
Eq(F_231(x), F_190(x) + F_224(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_20(x)*F_234(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_20(x)*F_236(x))
Eq(F_236(x), F_237(x)/F_20(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x) - F_304(x))
Eq(F_239(x), F_240(x)/F_20(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_20(x)*F_242(x))
Eq(F_242(x), F_243(x)/F_20(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_20(x)*F_245(x))
Eq(F_245(x), F_246(x) + F_303(x))
Eq(F_246(x), F_190(x) + F_247(x))
Eq(F_247(x), F_248(x) - F_267(x))
Eq(F_248(x), F_249(x)/F_20(x))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_251(x) + F_259(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_20(x)*F_253(x)*F_4(x))
Eq(F_253(x), F_167(x) + F_254(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_20(x)*F_256(x))
Eq(F_256(x), F_257(x)/F_20(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_162(x) + F_168(x))
Eq(F_259(x), F_260(x) - F_265(x))
Eq(F_260(x), F_261(x))
Eq(F_261(x), F_20(x)*F_262(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_195(x)*F_20(x)*F_264(x))
Eq(F_264(x), F_134(x) + F_254(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_193(x)*F_20(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_20(x)*F_269(x))
Eq(F_269(x), F_270(x)/F_20(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_272(x) - F_275(x))
Eq(F_272(x), F_273(x)/F_20(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_207(x) - F_9(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_277(x)/F_20(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_279(x) - F_288(x))
Eq(F_279(x), F_172(x) + F_280(x))
Eq(F_280(x), F_281(x)/F_20(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_283(x) - F_6(x))
Eq(F_283(x), -F_134(x) + F_284(x))
Eq(F_284(x), F_285(x) + F_4(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_20(x)*F_287(x))
Eq(F_287(x), F_288(x) + F_301(x))
Eq(F_288(x), F_289(x) + F_296(x))
Eq(F_289(x), F_134(x) + F_290(x))
Eq(F_290(x), F_291(x))
Eq(F_291(x), F_20(x)*F_292(x)*F_4(x))
Eq(F_292(x), F_134(x) + F_293(x))
Eq(F_293(x), -F_258(x) + F_294(x))
Eq(F_294(x), F_295(x)/F_20(x))
Eq(F_295(x), F_67(x))
Eq(F_296(x), -F_260(x) + F_297(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_20(x)*F_299(x))
Eq(F_299(x), F_300(x)/F_20(x))
Eq(F_300(x), F_213(x))
Eq(F_301(x), F_302(x))
Eq(F_302(x), F_288(x) - F_9(x))
Eq(F_303(x), F_247(x))
Eq(F_304(x), F_190(x) + F_228(x))
Eq(F_305(x), F_306(x) - F_9(x))
Eq(F_306(x), F_307(x)/F_20(x))
Eq(F_307(x), F_308(x))
Eq(F_308(x), F_20(x)*F_309(x))
Eq(F_309(x), F_229(x) + F_9(x))
Eq(F_310(x), F_311(x) - F_339(x))
Eq(F_311(x), F_312(x) + F_328(x))
Eq(F_312(x), F_313(x))
Eq(F_313(x), F_314(x)*F_4(x))
Eq(F_314(x), F_315(x) + F_46(x))
Eq(F_315(x), F_316(x) - F_324(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_121(x)*F_20(x)*F_318(x))
Eq(F_318(x), F_319(x)/(F_20(x)*F_5(x)))
Eq(F_319(x), F_320(x))
Eq(F_320(x), F_11(x) + F_321(x))
Eq(F_321(x), F_322(x))
Eq(F_322(x), F_20(x)*F_323(x)*F_5(x))
Eq(F_323(x), F_30(x) + F_321(x))
Eq(F_324(x), F_325(x))
Eq(F_325(x), F_326(x)*F_5(x))
Eq(F_326(x), F_327(x) + F_52(x))
Eq(F_327(x), F_142(x)*F_52(x))
Eq(F_328(x), F_329(x) - F_337(x))
Eq(F_329(x), F_330(x) + F_332(x))
Eq(F_330(x), F_331(x))
Eq(F_331(x), F_195(x)*F_20(x)*F_46(x))
Eq(F_332(x), F_333(x) - F_335(x))
Eq(F_333(x), F_334(x))
Eq(F_334(x), F_121(x)*F_20(x)*F_204(x))
Eq(F_335(x), F_336(x))
Eq(F_336(x), F_222(x)*F_5(x))
Eq(F_337(x), F_338(x))
Eq(F_338(x), F_315(x)*F_4(x))
Eq(F_339(x), F_340(x) + F_345(x))
Eq(F_340(x), F_341(x) + F_343(x))
Eq(F_341(x), F_342(x))
Eq(F_342(x), F_29(x)*F_4(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_195(x)*F_20(x)*F_29(x))
Eq(F_345(x), F_202(x) - F_222(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": 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, 1, 4], [0, 2, 4, 1, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 4, 1, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"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, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"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": [[1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[1, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], 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{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 4, 1, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 4, 1, 3], [0, 3, 2, 1, 4], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}]}
Specification 3
Strategy pack name: point_and_row_placements_req_corrob
Tree: http://www.permpal.com/tree/25856/
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[37,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 2+F[5,x]^2+(-2+x)*F[5,x]
F[6,x] = F[560,x]+F[7,x]+F[8,x]
F[7,x] = 0
F[8,x] = F[37,x]*F[9,x]
F[9,x] = F[10,x]+F[7,x]+F[83,x]+F[84,x]
F[10,x] = F[11,x]*F[37,x]
F[11,x] = F[12,x]+F[61,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[37,x]*F[4,x]
F[14,x] = 1/F[37,x]*F[15,x]
F[15,x] = F[16,x]
F[16,x] = -F[5,x]+F[17,x]
F[17,x] = 1/F[37,x]/F[4,x]*F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[20,x]+F[54,x]
F[20,x] = F[21,x]+F[53,x]+F[7,x]
F[21,x] = F[22,x]*F[37,x]
F[22,x] = F[23,x]+F[51,x]+F[52,x]+F[7,x]
F[23,x] = F[24,x]*F[37,x]
F[24,x] = F[22,x]+F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[37,x]
F[27,x] = F[28,x]+F[50,x]
F[28,x] = F[24,x]*F[29,x]
F[29,x] = F[30,x]+F[5,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[37,x]
F[32,x] = F[33,x]+F[38,x]
F[33,x] = F[29,x]*F[34,x]
F[34,x] = F[1,x]+F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[34,x]*F[37,x]
F[37,x] = x
F[38,x] = F[39,x]+F[42,x]
F[39,x] = F[40,x]
F[40,x] = F[29,x]*F[37,x]*F[41,x]
F[41,x] = F[29,x]+F[39,x]
F[42,x] = F[43,x]
F[43,x] = F[37,x]*F[44,x]
F[44,x] = F[45,x]+F[46,x]
F[45,x] = F[34,x]*F[39,x]
F[46,x] = F[47,x]
F[47,x] = F[37,x]*F[41,x]*F[48,x]
F[48,x] = F[32,x]+F[49,x]
F[49,x] = F[37,x]*F[48,x]
F[50,x] = F[22,x]*F[41,x]
F[51,x] = F[24,x]*F[37,x]
F[52,x] = F[29,x]*F[37,x]
F[53,x] = F[37,x]*F[5,x]
F[54,x] = F[37,x]*F[55,x]
F[55,x] = F[56,x]+F[59,x]
F[56,x] = F[57,x]
F[57,x] = F[17,x]*F[37,x]*F[58,x]
F[58,x] = F[29,x]+F[9,x]
F[59,x] = F[60,x]
F[60,x] = F[17,x]*F[37,x]*F[58,x]
F[61,x] = F[62,x]
F[62,x] = F[37,x]*F[63,x]
F[63,x] = F[64,x]+F[77,x]
F[64,x] = F[65,x]
F[65,x] = F[14,x]*F[37,x]*F[66,x]
F[66,x] = 1/F[37,x]/F[5,x]*F[67,x]
F[67,x] = F[68,x]
F[68,x] = 1/F[37,x]*F[69,x]
F[69,x] = -F[7,x]-F[73,x]-F[75,x]+F[70,x]
F[70,x] = -F[71,x]+F[58,x]
F[71,x] = F[5,x]+F[72,x]
F[72,x] = F[18,x]
F[73,x] = F[37,x]*F[74,x]
F[74,x] = F[39,x]+F[61,x]
F[75,x] = F[37,x]*F[76,x]
F[76,x] = F[11,x]+F[41,x]
F[77,x] = F[78,x]
F[78,x] = F[29,x]*F[37,x]*F[79,x]
F[79,x] = F[77,x]+F[80,x]
F[80,x] = F[64,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[14,x]*F[4,x]
F[83,x] = F[11,x]*F[37,x]
F[84,x] = F[37,x]*F[85,x]
F[85,x] = F[554,x]+F[86,x]
F[86,x] = F[29,x]+F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[37,x]*F[4,x]*F[89,x]
F[89,x] = 1/F[37,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = 2*F[7,x]+F[553,x]+F[92,x]
F[92,x] = F[37,x]*F[93,x]
F[93,x] = -F[548,x]+F[94,x]
F[94,x] = F[433,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[37,x]*F[97,x]
F[97,x] = F[546,x]+F[98,x]
F[98,x] = -F[526,x]+F[99,x]
F[99,x] = 1/F[37,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = -F[120,x]+F[102,x]
F[102,x] = F[103,x]+F[142,x]
F[103,x] = F[104,x]+F[5,x]
F[104,x] = F[105,x]+F[113,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[37,x]
F[107,x] = F[108,x]+F[109,x]
F[108,x] = F[1,x]+F[105,x]
F[109,x] = F[110,x]+F[37,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[37,x]
F[112,x] = F[109,x]
F[113,x] = F[114,x]+F[115,x]+F[7,x]
F[114,x] = F[101,x]*F[37,x]
F[115,x] = F[116,x]*F[37,x]
F[116,x] = F[117,x]+F[141,x]
F[117,x] = F[118,x]+F[140,x]+F[7,x]
F[118,x] = F[119,x]*F[37,x]
F[119,x] = F[120,x]+F[138,x]
F[120,x] = F[121,x]+F[5,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[37,x]
F[123,x] = F[124,x]+F[136,x]
F[124,x] = F[120,x]+F[125,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[130,x]*F[37,x]
F[127,x] = F[128,x]+F[5,x]
F[128,x] = F[129,x]
F[129,x] = F[123,x]*F[37,x]
F[130,x] = 1/F[37,x]*F[131,x]
F[131,x] = -F[1,x]-F[132,x]+F[29,x]
F[132,x] = F[133,x]*F[37,x]
F[133,x] = F[120,x]+F[134,x]
F[134,x] = F[135,x]
F[135,x] = F[133,x]*F[37,x]*F[5,x]
F[136,x] = F[137,x]
F[137,x] = F[127,x]*F[133,x]*F[37,x]
F[138,x] = F[139,x]
F[139,x] = F[37,x]*F[98,x]
F[140,x] = F[117,x]*F[37,x]
F[141,x] = F[113,x]
F[142,x] = F[143,x]
F[143,x] = F[144,x]*F[37,x]
F[144,x] = F[145,x]+F[184,x]
F[145,x] = F[146,x]+F[180,x]
F[146,x] = F[102,x]+F[147,x]
F[147,x] = F[148,x]
F[148,x] = F[149,x]*F[37,x]
F[149,x] = F[150,x]+F[174,x]
F[150,x] = F[102,x]*F[151,x]
F[151,x] = F[152,x]+F[161,x]
F[152,x] = F[1,x]+F[153,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]*F[37,x]
F[155,x] = F[152,x]+F[156,x]
F[156,x] = F[157,x]+F[37,x]
F[157,x] = F[158,x]+F[159,x]+F[7,x]
F[158,x] = F[153,x]*F[37,x]
F[159,x] = F[160,x]*F[37,x]
F[160,x] = F[156,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[37,x]
F[163,x] = 1/F[37,x]*F[164,x]
F[164,x] = F[165,x]
F[165,x] = F[166,x]+F[167,x]+F[7,x]
F[166,x] = F[130,x]*F[37,x]
F[167,x] = F[168,x]*F[37,x]
F[168,x] = F[167,x]+F[169,x]+F[173,x]+F[7,x]
F[169,x] = F[170,x]*F[37,x]
F[170,x] = F[130,x]+F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[133,x]*F[29,x]*F[37,x]
F[173,x] = F[168,x]*F[37,x]
F[174,x] = F[175,x]
F[175,x] = F[144,x]*F[176,x]*F[37,x]
F[176,x] = F[177,x]+F[178,x]
F[177,x] = F[151,x]*F[34,x]
F[178,x] = F[179,x]
F[179,x] = F[151,x]*F[37,x]*F[48,x]
F[180,x] = F[181,x]
F[181,x] = F[146,x]*F[182,x]*F[37,x]
F[182,x] = F[1,x]+F[132,x]+F[183,x]
F[183,x] = F[182,x]*F[37,x]
F[184,x] = F[185,x]+F[387,x]
F[185,x] = F[186,x]*F[240,x]
F[186,x] = F[187,x]+F[193,x]
F[187,x] = F[188,x]+F[5,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]*F[37,x]
F[190,x] = F[191,x]+F[192,x]+F[5,x]
F[191,x] = F[37,x]*F[98,x]
F[192,x] = F[190,x]*F[37,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]+F[196,x]
F[195,x] = F[121,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[37,x]
F[198,x] = F[199,x]
F[199,x] = -F[212,x]+F[200,x]
F[200,x] = -F[204,x]+F[201,x]
F[201,x] = 1/F[37,x]*F[202,x]
F[202,x] = F[203,x]
F[203,x] = -F[104,x]+F[101,x]
F[204,x] = -F[208,x]+F[205,x]
F[205,x] = -F[98,x]+F[206,x]
F[206,x] = 1/F[37,x]*F[207,x]
F[207,x] = F[101,x]
F[208,x] = F[209,x]+F[210,x]+F[211,x]+F[7,x]
F[209,x] = F[205,x]*F[37,x]
F[210,x] = F[208,x]*F[37,x]
F[211,x] = F[190,x]*F[37,x]
F[212,x] = F[213,x]
F[213,x] = F[214,x]*F[37,x]
F[214,x] = 1/F[37,x]*F[215,x]
F[215,x] = F[216,x]
F[216,x] = F[217,x]+F[95,x]
F[217,x] = F[218,x]
F[218,x] = F[127,x]*F[219,x]*F[37,x]
F[219,x] = F[220,x]+F[95,x]
F[220,x] = F[221,x]
F[221,x] = F[222,x]*F[37,x]
F[222,x] = F[223,x]+F[380,x]
F[223,x] = F[224,x]
F[224,x] = 1/F[37,x]*F[225,x]
F[225,x] = F[226,x]
F[226,x] = -F[378,x]-F[95,x]+F[227,x]
F[227,x] = 1/F[34,x]*F[228,x]
F[228,x] = F[229,x]
F[229,x] = -F[284,x]+F[230,x]
F[230,x] = 1/F[37,x]*F[231,x]
F[231,x] = F[232,x]
F[232,x] = -F[234,x]+F[233,x]
F[233,x] = F[133,x]+F[95,x]
F[234,x] = F[235,x]+F[242,x]
F[235,x] = F[236,x]+F[237,x]
F[236,x] = F[1,x]+F[37,x]
F[237,x] = F[238,x]+F[35,x]
F[238,x] = F[239,x]+F[241,x]+F[7,x]
F[239,x] = F[240,x]*F[37,x]
F[240,x] = F[238,x]+F[37,x]
F[241,x] = F[35,x]*F[37,x]
F[242,x] = F[243,x]+F[258,x]
F[243,x] = F[153,x]+F[244,x]
F[244,x] = F[245,x]+F[257,x]+F[7,x]
F[245,x] = F[246,x]*F[37,x]
F[246,x] = F[247,x]+F[248,x]
F[247,x] = F[244,x]+F[37,x]
F[248,x] = F[249,x]+F[252,x]
F[249,x] = F[250,x]+F[251,x]+F[7,x]
F[250,x] = x^2
F[251,x] = x^2
F[252,x] = F[253,x]+F[254,x]+F[256,x]+F[7,x]
F[253,x] = F[244,x]*F[37,x]
F[254,x] = F[255,x]*F[37,x]
F[255,x] = F[248,x]
F[256,x] = F[157,x]*F[37,x]
F[257,x] = F[153,x]*F[37,x]
F[258,x] = F[259,x]+F[270,x]
F[259,x] = F[260,x]
F[260,x] = F[261,x]*F[37,x]
F[261,x] = F[262,x]+F[263,x]
F[262,x] = F[259,x]+F[35,x]
F[263,x] = F[264,x]+F[266,x]
F[264,x] = F[265,x]
F[265,x] = F[35,x]*F[37,x]
F[266,x] = 2*F[7,x]+F[267,x]+F[268,x]
F[267,x] = F[259,x]*F[37,x]
F[268,x] = F[269,x]*F[37,x]
F[269,x] = F[263,x]
F[270,x] = 2*F[7,x]+F[271,x]+F[283,x]
F[271,x] = F[272,x]*F[37,x]
F[272,x] = F[273,x]+F[274,x]
F[273,x] = F[238,x]+F[270,x]
F[274,x] = F[275,x]+F[278,x]
F[275,x] = 2*F[7,x]+F[276,x]+F[277,x]
F[276,x] = F[238,x]*F[37,x]
F[277,x] = F[264,x]*F[37,x]
F[278,x] = 2*F[7,x]+F[279,x]+F[280,x]+F[282,x]
F[279,x] = F[270,x]*F[37,x]
F[280,x] = F[281,x]*F[37,x]
F[281,x] = F[274,x]
F[282,x] = F[266,x]*F[37,x]
F[283,x] = F[259,x]*F[37,x]
F[284,x] = F[285,x]+F[290,x]
F[285,x] = F[286,x]
F[286,x] = F[287,x]*F[34,x]
F[287,x] = F[163,x]+F[288,x]
F[288,x] = F[289,x]
F[289,x] = F[133,x]*F[151,x]*F[37,x]
F[290,x] = F[291,x]+F[376,x]
F[291,x] = F[292,x]
F[292,x] = 1/F[37,x]*F[293,x]
F[293,x] = F[294,x]
F[294,x] = -F[353,x]+F[295,x]
F[295,x] = F[296,x]
F[296,x] = F[297,x]+F[349,x]
F[297,x] = F[298,x]
F[298,x] = -F[306,x]+F[299,x]
F[299,x] = 1/F[37,x]*F[300,x]
F[300,x] = F[301,x]
F[301,x] = F[302,x]+F[304,x]+F[7,x]
F[302,x] = F[303,x]*F[37,x]
F[303,x] = F[6,x]
F[304,x] = F[305,x]*F[37,x]
F[305,x] = (1+F[305,x])*x+F[305,x]^2
F[306,x] = F[307,x]
F[307,x] = F[308,x]*F[37,x]
F[308,x] = F[309,x]+F[311,x]
F[309,x] = 1/F[37,x]*F[310,x]
F[310,x] = F[2,x]
F[311,x] = -F[330,x]+F[312,x]
F[312,x] = F[313,x]+F[315,x]
F[313,x] = F[314,x]
F[314,x] = F[152,x]*F[305,x]*F[34,x]
F[315,x] = F[316,x]+F[318,x]+F[7,x]
F[316,x] = F[317,x]
F[317,x] = F[134,x]*F[152,x]*F[34,x]*F[37,x]
F[318,x] = F[319,x]*F[37,x]
F[319,x] = 1/F[37,x]*F[320,x]
F[320,x] = F[321,x]
F[321,x] = -F[327,x]+F[322,x]
F[322,x] = 1/F[37,x]*F[323,x]
F[323,x] = F[324,x]
F[324,x] = -F[0,x]+F[325,x]
F[325,x] = 1/F[37,x]*F[326,x]
F[326,x] = F[2,x]
F[327,x] = F[120,x]+F[328,x]
F[328,x] = F[329,x]
F[329,x] = F[133,x]*F[152,x]*F[34,x]*F[37,x]
F[330,x] = F[331,x]+F[343,x]
F[331,x] = F[332,x]
F[332,x] = F[333,x]*F[37,x]
F[333,x] = F[334,x]+F[336,x]
F[334,x] = F[335,x]
F[335,x] = F[152,x]*F[29,x]*F[34,x]
F[336,x] = F[337,x]
F[337,x] = F[29,x]*F[338,x]*F[37,x]
F[338,x] = F[339,x]+F[342,x]
F[339,x] = F[333,x]+F[340,x]
F[340,x] = F[341,x]
F[341,x] = F[338,x]*F[37,x]
F[342,x] = F[338,x]*F[37,x]
F[343,x] = F[344,x]
F[344,x] = F[345,x]*F[37,x]
F[345,x] = -F[346,x]+F[333,x]
F[346,x] = F[330,x]+F[347,x]
F[347,x] = F[151,x]+F[348,x]
F[348,x] = F[346,x]*F[37,x]
F[349,x] = 2*F[7,x]+F[350,x]+F[351,x]
F[350,x] = F[296,x]*F[37,x]
F[351,x] = F[352,x]
F[352,x] = F[151,x]*F[35,x]*F[37,x]
F[353,x] = F[105,x]+F[354,x]
F[354,x] = F[355,x]+F[372,x]+F[7,x]
F[355,x] = F[356,x]*F[37,x]
F[356,x] = F[353,x]+F[357,x]
F[357,x] = F[358,x]+F[364,x]
F[358,x] = F[359,x]+F[360,x]+F[7,x]
F[359,x] = F[105,x]*F[37,x]
F[360,x] = F[361,x]*F[37,x]
F[361,x] = F[362,x]+F[363,x]
F[362,x] = F[37,x]
F[363,x] = F[264,x]
F[364,x] = F[365,x]+F[366,x]+F[368,x]+F[7,x]
F[365,x] = F[354,x]*F[37,x]
F[366,x] = F[367,x]*F[37,x]
F[367,x] = F[357,x]
F[368,x] = F[369,x]*F[37,x]
F[369,x] = F[370,x]+F[371,x]
F[370,x] = F[157,x]
F[371,x] = F[266,x]
F[372,x] = F[37,x]*F[373,x]
F[373,x] = F[374,x]+F[375,x]
F[374,x] = F[153,x]
F[375,x] = F[259,x]
F[376,x] = F[377,x]
F[377,x] = F[133,x]*F[296,x]*F[37,x]
F[378,x] = F[379,x]
F[379,x] = F[227,x]*F[34,x]*F[37,x]
F[380,x] = 1/F[37,x]*F[381,x]
F[381,x] = -F[382,x]-F[384,x]-F[385,x]-F[7,x]+F[290,x]
F[382,x] = F[383,x]
F[383,x] = F[290,x]*F[37,x]
F[384,x] = F[290,x]*F[37,x]
F[385,x] = F[386,x]
F[386,x] = F[287,x]*F[34,x]*F[37,x]
F[387,x] = F[388,x]
F[388,x] = F[37,x]*F[389,x]
F[389,x] = F[390,x]+F[513,x]
F[390,x] = F[391,x]
F[391,x] = F[392,x]+F[401,x]
F[392,x] = F[186,x]*F[34,x]*F[393,x]
F[393,x] = F[394,x]+F[395,x]+F[396,x]+F[7,x]
F[394,x] = F[227,x]*F[37,x]
F[395,x] = F[37,x]*F[393,x]
F[396,x] = F[37,x]*F[397,x]
F[397,x] = F[151,x]+F[398,x]
F[398,x] = F[399,x]+F[400,x]+F[7,x]
F[399,x] = F[288,x]*F[37,x]
F[400,x] = F[37,x]*F[397,x]
F[401,x] = F[402,x]
F[402,x] = F[37,x]*F[403,x]
F[403,x] = F[404,x]+F[414,x]
F[404,x] = F[405,x]*F[407,x]
F[405,x] = 1/F[37,x]*F[406,x]
F[406,x] = F[194,x]
F[407,x] = 1/F[37,x]*F[408,x]
F[408,x] = F[409,x]
F[409,x] = -F[410,x]+F[393,x]
F[410,x] = F[411,x]+F[412,x]+F[413,x]+F[7,x]
F[411,x] = F[37,x]*F[95,x]
F[412,x] = F[37,x]*F[410,x]
F[413,x] = F[182,x]*F[37,x]
F[414,x] = F[415,x]*F[429,x]
F[415,x] = F[416,x]+F[427,x]+F[428,x]+F[7,x]
F[416,x] = F[37,x]*F[417,x]
F[417,x] = F[418,x]+F[425,x]
F[418,x] = F[419,x]
F[419,x] = F[37,x]*F[420,x]
F[420,x] = -F[423,x]+F[421,x]
F[421,x] = 1/F[37,x]*F[422,x]
F[422,x] = F[212,x]
F[423,x] = F[424,x]
F[424,x] = F[127,x]*F[37,x]*F[97,x]
F[425,x] = F[426,x]
F[426,x] = F[37,x]*F[423,x]
F[427,x] = F[37,x]*F[415,x]
F[428,x] = F[127,x]*F[37,x]
F[429,x] = 1/F[37,x]*F[430,x]
F[430,x] = F[431,x]
F[431,x] = 2*F[7,x]+F[432,x]+F[507,x]+F[508,x]
F[432,x] = F[37,x]*F[433,x]
F[433,x] = F[434,x]
F[434,x] = F[37,x]*F[435,x]
F[435,x] = 1/F[505,x]*F[436,x]
F[436,x] = -F[504,x]+F[437,x]
F[437,x] = 1/F[37,x]*F[438,x]
F[438,x] = F[439,x]
F[439,x] = -F[503,x]+F[440,x]
F[440,x] = F[441,x]
F[441,x] = -F[499,x]+F[442,x]
F[442,x] = 1/F[37,x]*F[443,x]
F[443,x] = F[444,x]
F[444,x] = -F[496,x]+F[445,x]
F[445,x] = F[446,x]+F[491,x]
F[446,x] = -F[489,x]+F[447,x]
F[447,x] = -F[450,x]+F[448,x]
F[448,x] = 1/F[37,x]*F[449,x]
F[449,x] = F[203,x]
F[450,x] = 1/F[37,x]*F[451,x]
F[451,x] = F[452,x]
F[452,x] = -F[104,x]+F[453,x]
F[453,x] = -F[127,x]+F[454,x]
F[454,x] = F[455,x]+F[456,x]
F[455,x] = F[108,x]*F[5,x]
F[456,x] = F[457,x]
F[457,x] = F[37,x]*F[458,x]
F[458,x] = F[459,x]+F[463,x]
F[459,x] = F[460,x]*F[5,x]
F[460,x] = 1/F[37,x]*F[461,x]
F[461,x] = F[462,x]
F[462,x] = F[113,x]+F[305,x]
F[463,x] = F[464,x]
F[464,x] = F[30,x]*F[465,x]
F[465,x] = F[454,x]+F[466,x]
F[466,x] = F[467,x]+F[468,x]+F[7,x]
F[467,x] = F[37,x]*F[447,x]
F[468,x] = F[37,x]*F[469,x]
F[469,x] = 1/F[37,x]*F[470,x]
F[470,x] = F[471,x]
F[471,x] = F[472,x]+F[473,x]
F[472,x] = F[305,x]
F[473,x] = F[474,x]
F[474,x] = F[37,x]*F[475,x]
F[475,x] = F[476,x]
F[476,x] = F[37,x]*F[477,x]
F[477,x] = F[190,x]+F[478,x]
F[478,x] = F[37,x]*F[479,x]
F[479,x] = F[480,x]+F[482,x]
F[480,x] = 1/F[37,x]*F[481,x]
F[481,x] = F[199,x]
F[482,x] = F[483,x]
F[483,x] = F[133,x]*F[37,x]*F[484,x]
F[484,x] = 1/F[37,x]/F[4,x]*F[485,x]
F[485,x] = F[486,x]
F[486,x] = F[487,x]+F[72,x]
F[487,x] = F[488,x]
F[488,x] = F[12,x]*F[127,x]*F[37,x]
F[489,x] = F[490,x]
F[490,x] = F[37,x]*F[469,x]*F[95,x]
F[491,x] = F[492,x]
F[492,x] = F[37,x]*F[493,x]
F[493,x] = F[494,x]+F[495,x]
F[494,x] = F[469,x]*F[95,x]
F[495,x] = F[133,x]*F[466,x]
F[496,x] = F[187,x]*F[497,x]
F[497,x] = F[240,x]+F[498,x]
F[498,x] = F[244,x]+F[270,x]
F[499,x] = F[500,x]+F[501,x]
F[500,x] = F[187,x]*F[290,x]
F[501,x] = F[502,x]
F[502,x] = F[37,x]*F[380,x]*F[469,x]
F[503,x] = F[187,x]*F[227,x]*F[34,x]
F[504,x] = F[224,x]*F[469,x]
F[505,x] = F[506,x]
F[506,x] = F[37,x]*F[484,x]
F[507,x] = F[37,x]*F[431,x]
F[508,x] = F[37,x]*F[509,x]
F[509,x] = F[132,x]+F[510,x]+F[512,x]+F[7,x]
F[510,x] = F[37,x]*F[511,x]
F[511,x] = -F[133,x]+F[170,x]
F[512,x] = F[37,x]*F[509,x]
F[513,x] = F[514,x]+F[519,x]
F[514,x] = F[186,x]*F[515,x]
F[515,x] = F[296,x]+F[516,x]
F[516,x] = F[517,x]+F[518,x]+F[7,x]
F[517,x] = F[37,x]*F[376,x]
F[518,x] = F[37,x]*F[515,x]
F[519,x] = F[520,x]
F[520,x] = F[37,x]*F[405,x]*F[521,x]
F[521,x] = 1/F[37,x]*F[522,x]
F[522,x] = -F[523,x]-F[524,x]-F[7,x]+F[515,x]
F[523,x] = F[37,x]*F[515,x]
F[524,x] = F[525,x]
F[525,x] = F[34,x]*F[37,x]*F[397,x]
F[526,x] = F[527,x]+F[541,x]
F[527,x] = F[528,x]
F[528,x] = -F[531,x]+F[529,x]
F[529,x] = 1/F[37,x]*F[530,x]
F[530,x] = F[101,x]
F[531,x] = 1/F[37,x]*F[532,x]
F[532,x] = F[533,x]
F[533,x] = F[16,x]+F[534,x]
F[534,x] = F[535,x]
F[535,x] = F[37,x]*F[536,x]
F[536,x] = F[537,x]
F[537,x] = F[29,x]*F[37,x]*F[538,x]
F[538,x] = F[187,x]+F[539,x]+F[540,x]
F[539,x] = F[37,x]*F[99,x]
F[540,x] = F[37,x]*F[538,x]
F[541,x] = F[542,x]
F[542,x] = F[133,x]*F[37,x]*F[543,x]
F[543,x] = F[188,x]+F[544,x]
F[544,x] = F[545,x]
F[545,x] = F[37,x]*F[527,x]
F[546,x] = F[547,x]
F[547,x] = F[37,x]*F[5,x]*F[97,x]
F[548,x] = F[549,x]
F[549,x] = F[37,x]*F[550,x]
F[550,x] = F[551,x]+F[552,x]
F[551,x] = F[29,x]*F[95,x]
F[552,x] = F[133,x]*F[91,x]
F[553,x] = F[29,x]*F[37,x]
F[554,x] = F[39,x]+F[555,x]
F[555,x] = F[556,x]
F[556,x] = F[37,x]*F[557,x]
F[557,x] = F[558,x]+F[77,x]
F[558,x] = F[559,x]
F[559,x] = F[37,x]*F[66,x]*F[89,x]
F[560,x] = F[37,x]*F[58,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_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = F_{5}\! \left(x \right) x +F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+2
F_{6}\! \left(x \right) = F_{560}\! \left(x \right)+F_{7}\! \left(x \right)+F_{8}\! \left(x \right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x \right) = F_{37}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{7}\! \left(x \right)+F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{37}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{61}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = \frac{F_{15}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = \frac{F_{18}\! \left(x \right)}{F_{37}\! \left(x \right) F_{4}\! \left(x \right)}
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{54}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{53}\! \left(x \right)+F_{7}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{37}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{51}\! \left(x \right)+F_{52}\! \left(x \right)+F_{7}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{37}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{37}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{50}\! \left(x \right)
F_{28}\! \left(x \right) = F_{24}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{5}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{37}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{38}\! \left(x \right)
F_{33}\! \left(x \right) = F_{29}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{1}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{34}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = x
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{42}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{29}\! \left(x \right) F_{37}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{29}\! \left(x \right)+F_{39}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{37}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{46}\! \left(x \right)
F_{45}\! \left(x \right) = F_{34}\! \left(x \right) F_{39}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{37}\! \left(x \right) F_{41}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{32}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{37}\! \left(x \right) F_{48}\! \left(x \right)
F_{50}\! \left(x \right) = F_{22}\! \left(x \right) F_{41}\! \left(x \right)
F_{51}\! \left(x \right) = F_{24}\! \left(x \right) F_{37}\! \left(x \right)
F_{52}\! \left(x \right) = F_{29}\! \left(x \right) F_{37}\! \left(x \right)
F_{53}\! \left(x \right) = F_{37}\! \left(x \right) F_{5}\! \left(x \right)
F_{54}\! \left(x \right) = F_{37}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{59}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{17}\! \left(x \right) F_{37}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{29}\! \left(x \right)+F_{9}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{17}\! \left(x \right) F_{37}\! \left(x \right) F_{58}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{37}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{77}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{14}\! \left(x \right) F_{37}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{37}\! \left(x \right) F_{5}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{69}\! \left(x \right) = -F_{7}\! \left(x \right)-F_{73}\! \left(x \right)-F_{75}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{58}\! \left(x \right)
F_{71}\! \left(x \right) = F_{5}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{18}\! \left(x \right)
F_{73}\! \left(x \right) = F_{37}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{39}\! \left(x \right)+F_{61}\! \left(x \right)
F_{75}\! \left(x \right) = F_{37}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{11}\! \left(x \right)+F_{41}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{29}\! \left(x \right) F_{37}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{64}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{83}\! \left(x \right) = F_{11}\! \left(x \right) F_{37}\! \left(x \right)
F_{84}\! \left(x \right) = F_{37}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{554}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{29}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{37}\! \left(x \right) F_{4}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{553}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{37}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{548}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{433}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{37}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{546}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{526}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{142}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{5}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{113}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{37}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{109}\! \left(x \right)
F_{108}\! \left(x \right) = F_{1}\! \left(x \right)+F_{105}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{37}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{37}\! \left(x \right)
F_{112}\! \left(x \right) = F_{109}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)+F_{7}\! \left(x \right)
F_{114}\! \left(x \right) = F_{101}\! \left(x \right) F_{37}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{37}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{141}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{140}\! \left(x \right)+F_{7}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{37}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{138}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{5}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{37}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{136}\! \left(x \right)
F_{124}\! \left(x \right) = F_{120}\! \left(x \right)+F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{130}\! \left(x \right) F_{37}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{5}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{123}\! \left(x \right) F_{37}\! \left(x \right)
F_{130}\! \left(x \right) = \frac{F_{131}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{131}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{132}\! \left(x \right)+F_{29}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{37}\! \left(x \right)
F_{133}\! \left(x \right) = F_{120}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{133}\! \left(x \right) F_{37}\! \left(x \right) F_{5}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{127}\! \left(x \right) F_{133}\! \left(x \right) F_{37}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{37}\! \left(x \right) F_{98}\! \left(x \right)
F_{140}\! \left(x \right) = F_{117}\! \left(x \right) F_{37}\! \left(x \right)
F_{141}\! \left(x \right) = F_{113}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{37}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{184}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{180}\! \left(x \right)
F_{146}\! \left(x \right) = F_{102}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{37}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{174}\! \left(x \right)
F_{150}\! \left(x \right) = F_{102}\! \left(x \right) F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{161}\! \left(x \right)
F_{152}\! \left(x \right) = F_{1}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{37}\! \left(x \right)
F_{155}\! \left(x \right) = F_{152}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{37}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)+F_{7}\! \left(x \right)
F_{158}\! \left(x \right) = F_{153}\! \left(x \right) F_{37}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{37}\! \left(x \right)
F_{160}\! \left(x \right) = F_{156}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{37}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{167}\! \left(x \right)+F_{7}\! \left(x \right)
F_{166}\! \left(x \right) = F_{130}\! \left(x \right) F_{37}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{37}\! \left(x \right)
F_{168}\! \left(x \right) = F_{167}\! \left(x \right)+F_{169}\! \left(x \right)+F_{173}\! \left(x \right)+F_{7}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{37}\! \left(x \right)
F_{170}\! \left(x \right) = F_{130}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{133}\! \left(x \right) F_{29}\! \left(x \right) F_{37}\! \left(x \right)
F_{173}\! \left(x \right) = F_{168}\! \left(x \right) F_{37}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{144}\! \left(x \right) F_{176}\! \left(x \right) F_{37}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{178}\! \left(x \right)
F_{177}\! \left(x \right) = F_{151}\! \left(x \right) F_{34}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{151}\! \left(x \right) F_{37}\! \left(x \right) F_{48}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{146}\! \left(x \right) F_{182}\! \left(x \right) F_{37}\! \left(x \right)
F_{182}\! \left(x \right) = F_{1}\! \left(x \right)+F_{132}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{182}\! \left(x \right) F_{37}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{387}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{240}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{193}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{5}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{37}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{192}\! \left(x \right)+F_{5}\! \left(x \right)
F_{191}\! \left(x \right) = F_{37}\! \left(x \right) F_{98}\! \left(x \right)
F_{192}\! \left(x \right) = F_{190}\! \left(x \right) F_{37}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{196}\! \left(x \right)
F_{195}\! \left(x \right) = F_{121}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{37}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{212}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{204}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = \frac{F_{202}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{101}\! \left(x \right)
F_{204}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = \frac{F_{207}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{207}\! \left(x \right) = F_{101}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{210}\! \left(x \right)+F_{211}\! \left(x \right)+F_{7}\! \left(x \right)
F_{209}\! \left(x \right) = F_{205}\! \left(x \right) F_{37}\! \left(x \right)
F_{210}\! \left(x \right) = F_{208}\! \left(x \right) F_{37}\! \left(x \right)
F_{211}\! \left(x \right) = F_{190}\! \left(x \right) F_{37}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{37}\! \left(x \right)
F_{214}\! \left(x \right) = \frac{F_{215}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{95}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{127}\! \left(x \right) F_{219}\! \left(x \right) F_{37}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{95}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{37}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{380}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = \frac{F_{225}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = -F_{378}\! \left(x \right)-F_{95}\! \left(x \right)+F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = \frac{F_{228}\! \left(x \right)}{F_{34}\! \left(x \right)}
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{234}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{133}\! \left(x \right)+F_{95}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{242}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{237}\! \left(x \right)
F_{236}\! \left(x \right) = F_{1}\! \left(x \right)+F_{37}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)+F_{35}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{241}\! \left(x \right)+F_{7}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right) F_{37}\! \left(x \right)
F_{240}\! \left(x \right) = F_{238}\! \left(x \right)+F_{37}\! \left(x \right)
F_{241}\! \left(x \right) = F_{35}\! \left(x \right) F_{37}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{258}\! \left(x \right)
F_{243}\! \left(x \right) = F_{153}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{257}\! \left(x \right)+F_{7}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{37}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{248}\! \left(x \right)
F_{247}\! \left(x \right) = F_{244}\! \left(x \right)+F_{37}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{252}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{251}\! \left(x \right)+F_{7}\! \left(x \right)
F_{250}\! \left(x \right) = x^{2}
F_{251}\! \left(x \right) = x^{2}
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{254}\! \left(x \right)+F_{256}\! \left(x \right)+F_{7}\! \left(x \right)
F_{253}\! \left(x \right) = F_{244}\! \left(x \right) F_{37}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{37}\! \left(x \right)
F_{255}\! \left(x \right) = F_{248}\! \left(x \right)
F_{256}\! \left(x \right) = F_{157}\! \left(x \right) F_{37}\! \left(x \right)
F_{257}\! \left(x \right) = F_{153}\! \left(x \right) F_{37}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{270}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right) F_{37}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{263}\! \left(x \right)
F_{262}\! \left(x \right) = F_{259}\! \left(x \right)+F_{35}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{266}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{35}\! \left(x \right) F_{37}\! \left(x \right)
F_{266}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{267}\! \left(x \right)+F_{268}\! \left(x \right)
F_{267}\! \left(x \right) = F_{259}\! \left(x \right) F_{37}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right) F_{37}\! \left(x \right)
F_{269}\! \left(x \right) = F_{263}\! \left(x \right)
F_{270}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{271}\! \left(x \right)+F_{283}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right) F_{37}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{274}\! \left(x \right)
F_{273}\! \left(x \right) = F_{238}\! \left(x \right)+F_{270}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{278}\! \left(x \right)
F_{275}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{276}\! \left(x \right)+F_{277}\! \left(x \right)
F_{276}\! \left(x \right) = F_{238}\! \left(x \right) F_{37}\! \left(x \right)
F_{277}\! \left(x \right) = F_{264}\! \left(x \right) F_{37}\! \left(x \right)
F_{278}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{279}\! \left(x \right)+F_{280}\! \left(x \right)+F_{282}\! \left(x \right)
F_{279}\! \left(x \right) = F_{270}\! \left(x \right) F_{37}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right) F_{37}\! \left(x \right)
F_{281}\! \left(x \right) = F_{274}\! \left(x \right)
F_{282}\! \left(x \right) = F_{266}\! \left(x \right) F_{37}\! \left(x \right)
F_{283}\! \left(x \right) = F_{259}\! \left(x \right) F_{37}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{290}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right) F_{34}\! \left(x \right)
F_{287}\! \left(x \right) = F_{163}\! \left(x \right)+F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{133}\! \left(x \right) F_{151}\! \left(x \right) F_{37}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{376}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = \frac{F_{293}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = -F_{353}\! \left(x \right)+F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{349}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = -F_{306}\! \left(x \right)+F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = \frac{F_{300}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)+F_{304}\! \left(x \right)+F_{7}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right) F_{37}\! \left(x \right)
F_{303}\! \left(x \right) = F_{6}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right) F_{37}\! \left(x \right)
F_{305}\! \left(x \right) = F_{305}\! \left(x \right) x +F_{305} \left(x \right)^{2}+x
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right) F_{37}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{311}\! \left(x \right)
F_{309}\! \left(x \right) = \frac{F_{310}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{310}\! \left(x \right) = F_{2}\! \left(x \right)
F_{311}\! \left(x \right) = -F_{330}\! \left(x \right)+F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)+F_{315}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{152}\! \left(x \right) F_{305}\! \left(x \right) F_{34}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)+F_{318}\! \left(x \right)+F_{7}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{134}\! \left(x \right) F_{152}\! \left(x \right) F_{34}\! \left(x \right) F_{37}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right) F_{37}\! \left(x \right)
F_{319}\! \left(x \right) = \frac{F_{320}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = -F_{327}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = \frac{F_{323}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = \frac{F_{326}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{326}\! \left(x \right) = F_{2}\! \left(x \right)
F_{327}\! \left(x \right) = F_{120}\! \left(x \right)+F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{133}\! \left(x \right) F_{152}\! \left(x \right) F_{34}\! \left(x \right) F_{37}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{343}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right) F_{37}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{336}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{152}\! \left(x \right) F_{29}\! \left(x \right) F_{34}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{29}\! \left(x \right) F_{338}\! \left(x \right) F_{37}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{342}\! \left(x \right)
F_{339}\! \left(x \right) = F_{333}\! \left(x \right)+F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{338}\! \left(x \right) F_{37}\! \left(x \right)
F_{342}\! \left(x \right) = F_{338}\! \left(x \right) F_{37}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right) F_{37}\! \left(x \right)
F_{345}\! \left(x \right) = -F_{346}\! \left(x \right)+F_{333}\! \left(x \right)
F_{346}\! \left(x \right) = F_{330}\! \left(x \right)+F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{151}\! \left(x \right)+F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{346}\! \left(x \right) F_{37}\! \left(x \right)
F_{349}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{350}\! \left(x \right)+F_{351}\! \left(x \right)
F_{350}\! \left(x \right) = F_{296}\! \left(x \right) F_{37}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{151}\! \left(x \right) F_{35}\! \left(x \right) F_{37}\! \left(x \right)
F_{353}\! \left(x \right) = F_{105}\! \left(x \right)+F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)+F_{372}\! \left(x \right)+F_{7}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right) F_{37}\! \left(x \right)
F_{356}\! \left(x \right) = F_{353}\! \left(x \right)+F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{364}\! \left(x \right)
F_{358}\! \left(x \right) = F_{359}\! \left(x \right)+F_{360}\! \left(x \right)+F_{7}\! \left(x \right)
F_{359}\! \left(x \right) = F_{105}\! \left(x \right) F_{37}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right) F_{37}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)+F_{363}\! \left(x \right)
F_{362}\! \left(x \right) = F_{37}\! \left(x \right)
F_{363}\! \left(x \right) = F_{264}\! \left(x \right)
F_{364}\! \left(x \right) = F_{365}\! \left(x \right)+F_{366}\! \left(x \right)+F_{368}\! \left(x \right)+F_{7}\! \left(x \right)
F_{365}\! \left(x \right) = F_{354}\! \left(x \right) F_{37}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right) F_{37}\! \left(x \right)
F_{367}\! \left(x \right) = F_{357}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right) F_{37}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{371}\! \left(x \right)
F_{370}\! \left(x \right) = F_{157}\! \left(x \right)
F_{371}\! \left(x \right) = F_{266}\! \left(x \right)
F_{372}\! \left(x \right) = F_{37}\! \left(x \right) F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{375}\! \left(x \right)
F_{374}\! \left(x \right) = F_{153}\! \left(x \right)
F_{375}\! \left(x \right) = F_{259}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{133}\! \left(x \right) F_{296}\! \left(x \right) F_{37}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{227}\! \left(x \right) F_{34}\! \left(x \right) F_{37}\! \left(x \right)
F_{380}\! \left(x \right) = \frac{F_{381}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{381}\! \left(x \right) = -F_{382}\! \left(x \right)-F_{384}\! \left(x \right)-F_{385}\! \left(x \right)-F_{7}\! \left(x \right)+F_{290}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{290}\! \left(x \right) F_{37}\! \left(x \right)
F_{384}\! \left(x \right) = F_{290}\! \left(x \right) F_{37}\! \left(x \right)
F_{385}\! \left(x \right) = F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{287}\! \left(x \right) F_{34}\! \left(x \right) F_{37}\! \left(x \right)
F_{387}\! \left(x \right) = F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{37}\! \left(x \right) F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = F_{390}\! \left(x \right)+F_{513}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)+F_{401}\! \left(x \right)
F_{392}\! \left(x \right) = F_{186}\! \left(x \right) F_{34}\! \left(x \right) F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{395}\! \left(x \right)+F_{396}\! \left(x \right)+F_{7}\! \left(x \right)
F_{394}\! \left(x \right) = F_{227}\! \left(x \right) F_{37}\! \left(x \right)
F_{395}\! \left(x \right) = F_{37}\! \left(x \right) F_{393}\! \left(x \right)
F_{396}\! \left(x \right) = F_{37}\! \left(x \right) F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{151}\! \left(x \right)+F_{398}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right)+F_{400}\! \left(x \right)+F_{7}\! \left(x \right)
F_{399}\! \left(x \right) = F_{288}\! \left(x \right) F_{37}\! \left(x \right)
F_{400}\! \left(x \right) = F_{37}\! \left(x \right) F_{397}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{37}\! \left(x \right) F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{404}\! \left(x \right)+F_{414}\! \left(x \right)
F_{404}\! \left(x \right) = F_{405}\! \left(x \right) F_{407}\! \left(x \right)
F_{405}\! \left(x \right) = \frac{F_{406}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{406}\! \left(x \right) = F_{194}\! \left(x \right)
F_{407}\! \left(x \right) = \frac{F_{408}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = -F_{410}\! \left(x \right)+F_{393}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{412}\! \left(x \right)+F_{413}\! \left(x \right)+F_{7}\! \left(x \right)
F_{411}\! \left(x \right) = F_{37}\! \left(x \right) F_{95}\! \left(x \right)
F_{412}\! \left(x \right) = F_{37}\! \left(x \right) F_{410}\! \left(x \right)
F_{413}\! \left(x \right) = F_{182}\! \left(x \right) F_{37}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right) F_{429}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right)+F_{427}\! \left(x \right)+F_{428}\! \left(x \right)+F_{7}\! \left(x \right)
F_{416}\! \left(x \right) = F_{37}\! \left(x \right) F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = F_{418}\! \left(x \right)+F_{425}\! \left(x \right)
F_{418}\! \left(x \right) = F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = F_{37}\! \left(x \right) F_{420}\! \left(x \right)
F_{420}\! \left(x \right) = -F_{423}\! \left(x \right)+F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = \frac{F_{422}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{422}\! \left(x \right) = F_{212}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = F_{127}\! \left(x \right) F_{37}\! \left(x \right) F_{97}\! \left(x \right)
F_{425}\! \left(x \right) = F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{37}\! \left(x \right) F_{423}\! \left(x \right)
F_{427}\! \left(x \right) = F_{37}\! \left(x \right) F_{415}\! \left(x \right)
F_{428}\! \left(x \right) = F_{127}\! \left(x \right) F_{37}\! \left(x \right)
F_{429}\! \left(x \right) = \frac{F_{430}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{430}\! \left(x \right) = F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{432}\! \left(x \right)+F_{507}\! \left(x \right)+F_{508}\! \left(x \right)
F_{432}\! \left(x \right) = F_{37}\! \left(x \right) F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{434}\! \left(x \right)
F_{434}\! \left(x \right) = F_{37}\! \left(x \right) F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = \frac{F_{436}\! \left(x \right)}{F_{505}\! \left(x \right)}
F_{436}\! \left(x \right) = -F_{504}\! \left(x \right)+F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = \frac{F_{438}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{438}\! \left(x \right) = F_{439}\! \left(x \right)
F_{439}\! \left(x \right) = -F_{503}\! \left(x \right)+F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)
F_{441}\! \left(x \right) = -F_{499}\! \left(x \right)+F_{442}\! \left(x \right)
F_{442}\! \left(x \right) = \frac{F_{443}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{443}\! \left(x \right) = F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = -F_{496}\! \left(x \right)+F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = F_{446}\! \left(x \right)+F_{491}\! \left(x \right)
F_{446}\! \left(x \right) = -F_{489}\! \left(x \right)+F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = -F_{450}\! \left(x \right)+F_{448}\! \left(x \right)
F_{448}\! \left(x \right) = \frac{F_{449}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{449}\! \left(x \right) = F_{203}\! \left(x \right)
F_{450}\! \left(x \right) = \frac{F_{451}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{451}\! \left(x \right) = F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = -F_{127}\! \left(x \right)+F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{455}\! \left(x \right)+F_{456}\! \left(x \right)
F_{455}\! \left(x \right) = F_{108}\! \left(x \right) F_{5}\! \left(x \right)
F_{456}\! \left(x \right) = F_{457}\! \left(x \right)
F_{457}\! \left(x \right) = F_{37}\! \left(x \right) F_{458}\! \left(x \right)
F_{458}\! \left(x \right) = F_{459}\! \left(x \right)+F_{463}\! \left(x \right)
F_{459}\! \left(x \right) = F_{460}\! \left(x \right) F_{5}\! \left(x \right)
F_{460}\! \left(x \right) = \frac{F_{461}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{461}\! \left(x \right) = F_{462}\! \left(x \right)
F_{462}\! \left(x \right) = F_{113}\! \left(x \right)+F_{305}\! \left(x \right)
F_{463}\! \left(x \right) = F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = F_{30}\! \left(x \right) F_{465}\! \left(x \right)
F_{465}\! \left(x \right) = F_{454}\! \left(x \right)+F_{466}\! \left(x \right)
F_{466}\! \left(x \right) = F_{467}\! \left(x \right)+F_{468}\! \left(x \right)+F_{7}\! \left(x \right)
F_{467}\! \left(x \right) = F_{37}\! \left(x \right) F_{447}\! \left(x \right)
F_{468}\! \left(x \right) = F_{37}\! \left(x \right) F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = \frac{F_{470}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{470}\! \left(x \right) = F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = F_{472}\! \left(x \right)+F_{473}\! \left(x \right)
F_{472}\! \left(x \right) = F_{305}\! \left(x \right)
F_{473}\! \left(x \right) = F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{37}\! \left(x \right) F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right)
F_{476}\! \left(x \right) = F_{37}\! \left(x \right) F_{477}\! \left(x \right)
F_{477}\! \left(x \right) = F_{190}\! \left(x \right)+F_{478}\! \left(x \right)
F_{478}\! \left(x \right) = F_{37}\! \left(x \right) F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{480}\! \left(x \right)+F_{482}\! \left(x \right)
F_{480}\! \left(x \right) = \frac{F_{481}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{481}\! \left(x \right) = F_{199}\! \left(x \right)
F_{482}\! \left(x \right) = F_{483}\! \left(x \right)
F_{483}\! \left(x \right) = F_{133}\! \left(x \right) F_{37}\! \left(x \right) F_{484}\! \left(x \right)
F_{484}\! \left(x \right) = \frac{F_{485}\! \left(x \right)}{F_{37}\! \left(x \right) F_{4}\! \left(x \right)}
F_{485}\! \left(x \right) = F_{486}\! \left(x \right)
F_{486}\! \left(x \right) = F_{487}\! \left(x \right)+F_{72}\! \left(x \right)
F_{487}\! \left(x \right) = F_{488}\! \left(x \right)
F_{488}\! \left(x \right) = F_{12}\! \left(x \right) F_{127}\! \left(x \right) F_{37}\! \left(x \right)
F_{489}\! \left(x \right) = F_{490}\! \left(x \right)
F_{490}\! \left(x \right) = F_{37}\! \left(x \right) F_{469}\! \left(x \right) F_{95}\! \left(x \right)
F_{491}\! \left(x \right) = F_{492}\! \left(x \right)
F_{492}\! \left(x \right) = F_{37}\! \left(x \right) F_{493}\! \left(x \right)
F_{493}\! \left(x \right) = F_{494}\! \left(x \right)+F_{495}\! \left(x \right)
F_{494}\! \left(x \right) = F_{469}\! \left(x \right) F_{95}\! \left(x \right)
F_{495}\! \left(x \right) = F_{133}\! \left(x \right) F_{466}\! \left(x \right)
F_{496}\! \left(x \right) = F_{187}\! \left(x \right) F_{497}\! \left(x \right)
F_{497}\! \left(x \right) = F_{240}\! \left(x \right)+F_{498}\! \left(x \right)
F_{498}\! \left(x \right) = F_{244}\! \left(x \right)+F_{270}\! \left(x \right)
F_{499}\! \left(x \right) = F_{500}\! \left(x \right)+F_{501}\! \left(x \right)
F_{500}\! \left(x \right) = F_{187}\! \left(x \right) F_{290}\! \left(x \right)
F_{501}\! \left(x \right) = F_{502}\! \left(x \right)
F_{502}\! \left(x \right) = F_{37}\! \left(x \right) F_{380}\! \left(x \right) F_{469}\! \left(x \right)
F_{503}\! \left(x \right) = F_{187}\! \left(x \right) F_{227}\! \left(x \right) F_{34}\! \left(x \right)
F_{504}\! \left(x \right) = F_{224}\! \left(x \right) F_{469}\! \left(x \right)
F_{505}\! \left(x \right) = F_{506}\! \left(x \right)
F_{506}\! \left(x \right) = F_{37}\! \left(x \right) F_{484}\! \left(x \right)
F_{507}\! \left(x \right) = F_{37}\! \left(x \right) F_{431}\! \left(x \right)
F_{508}\! \left(x \right) = F_{37}\! \left(x \right) F_{509}\! \left(x \right)
F_{509}\! \left(x \right) = F_{132}\! \left(x \right)+F_{510}\! \left(x \right)+F_{512}\! \left(x \right)+F_{7}\! \left(x \right)
F_{510}\! \left(x \right) = F_{37}\! \left(x \right) F_{511}\! \left(x \right)
F_{511}\! \left(x \right) = -F_{133}\! \left(x \right)+F_{170}\! \left(x \right)
F_{512}\! \left(x \right) = F_{37}\! \left(x \right) F_{509}\! \left(x \right)
F_{513}\! \left(x \right) = F_{514}\! \left(x \right)+F_{519}\! \left(x \right)
F_{514}\! \left(x \right) = F_{186}\! \left(x \right) F_{515}\! \left(x \right)
F_{515}\! \left(x \right) = F_{296}\! \left(x \right)+F_{516}\! \left(x \right)
F_{516}\! \left(x \right) = F_{517}\! \left(x \right)+F_{518}\! \left(x \right)+F_{7}\! \left(x \right)
F_{517}\! \left(x \right) = F_{37}\! \left(x \right) F_{376}\! \left(x \right)
F_{518}\! \left(x \right) = F_{37}\! \left(x \right) F_{515}\! \left(x \right)
F_{519}\! \left(x \right) = F_{520}\! \left(x \right)
F_{520}\! \left(x \right) = F_{37}\! \left(x \right) F_{405}\! \left(x \right) F_{521}\! \left(x \right)
F_{521}\! \left(x \right) = \frac{F_{522}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{522}\! \left(x \right) = -F_{523}\! \left(x \right)-F_{524}\! \left(x \right)-F_{7}\! \left(x \right)+F_{515}\! \left(x \right)
F_{523}\! \left(x \right) = F_{37}\! \left(x \right) F_{515}\! \left(x \right)
F_{524}\! \left(x \right) = F_{525}\! \left(x \right)
F_{525}\! \left(x \right) = F_{34}\! \left(x \right) F_{37}\! \left(x \right) F_{397}\! \left(x \right)
F_{526}\! \left(x \right) = F_{527}\! \left(x \right)+F_{541}\! \left(x \right)
F_{527}\! \left(x \right) = F_{528}\! \left(x \right)
F_{528}\! \left(x \right) = -F_{531}\! \left(x \right)+F_{529}\! \left(x \right)
F_{529}\! \left(x \right) = \frac{F_{530}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{530}\! \left(x \right) = F_{101}\! \left(x \right)
F_{531}\! \left(x \right) = \frac{F_{532}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{532}\! \left(x \right) = F_{533}\! \left(x \right)
F_{533}\! \left(x \right) = F_{16}\! \left(x \right)+F_{534}\! \left(x \right)
F_{534}\! \left(x \right) = F_{535}\! \left(x \right)
F_{535}\! \left(x \right) = F_{37}\! \left(x \right) F_{536}\! \left(x \right)
F_{536}\! \left(x \right) = F_{537}\! \left(x \right)
F_{537}\! \left(x \right) = F_{29}\! \left(x \right) F_{37}\! \left(x \right) F_{538}\! \left(x \right)
F_{538}\! \left(x \right) = F_{187}\! \left(x \right)+F_{539}\! \left(x \right)+F_{540}\! \left(x \right)
F_{539}\! \left(x \right) = F_{37}\! \left(x \right) F_{99}\! \left(x \right)
F_{540}\! \left(x \right) = F_{37}\! \left(x \right) F_{538}\! \left(x \right)
F_{541}\! \left(x \right) = F_{542}\! \left(x \right)
F_{542}\! \left(x \right) = F_{133}\! \left(x \right) F_{37}\! \left(x \right) F_{543}\! \left(x \right)
F_{543}\! \left(x \right) = F_{188}\! \left(x \right)+F_{544}\! \left(x \right)
F_{544}\! \left(x \right) = F_{545}\! \left(x \right)
F_{545}\! \left(x \right) = F_{37}\! \left(x \right) F_{527}\! \left(x \right)
F_{546}\! \left(x \right) = F_{547}\! \left(x \right)
F_{547}\! \left(x \right) = F_{37}\! \left(x \right) F_{5}\! \left(x \right) F_{97}\! \left(x \right)
F_{548}\! \left(x \right) = F_{549}\! \left(x \right)
F_{549}\! \left(x \right) = F_{37}\! \left(x \right) F_{550}\! \left(x \right)
F_{550}\! \left(x \right) = F_{551}\! \left(x \right)+F_{552}\! \left(x \right)
F_{551}\! \left(x \right) = F_{29}\! \left(x \right) F_{95}\! \left(x \right)
F_{552}\! \left(x \right) = F_{133}\! \left(x \right) F_{91}\! \left(x \right)
F_{553}\! \left(x \right) = F_{29}\! \left(x \right) F_{37}\! \left(x \right)
F_{554}\! \left(x \right) = F_{39}\! \left(x \right)+F_{555}\! \left(x \right)
F_{555}\! \left(x \right) = F_{556}\! \left(x \right)
F_{556}\! \left(x \right) = F_{37}\! \left(x \right) F_{557}\! \left(x \right)
F_{557}\! \left(x \right) = F_{558}\! \left(x \right)+F_{77}\! \left(x \right)
F_{558}\! \left(x \right) = F_{559}\! \left(x \right)
F_{559}\! \left(x \right) = F_{37}\! \left(x \right) F_{66}\! \left(x \right) F_{89}\! \left(x \right)
F_{560}\! \left(x \right) = F_{37}\! \left(x \right) F_{58}\! \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_37(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), (x - 2)*F_5(x) + F_5(x)**2 + 2)
Eq(F_6(x), F_560(x) + F_7(x) + F_8(x))
Eq(F_7(x), 0)
Eq(F_8(x), F_37(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_7(x) + F_83(x) + F_84(x))
Eq(F_10(x), F_11(x)*F_37(x))
Eq(F_11(x), F_12(x) + F_61(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_37(x)*F_4(x))
Eq(F_14(x), F_15(x)/F_37(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x) - F_5(x))
Eq(F_17(x), F_18(x)/(F_37(x)*F_4(x)))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_20(x) + F_54(x))
Eq(F_20(x), F_21(x) + F_53(x) + F_7(x))
Eq(F_21(x), F_22(x)*F_37(x))
Eq(F_22(x), F_23(x) + F_51(x) + F_52(x) + F_7(x))
Eq(F_23(x), F_24(x)*F_37(x))
Eq(F_24(x), F_22(x) + F_25(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_37(x))
Eq(F_27(x), F_28(x) + F_50(x))
Eq(F_28(x), F_24(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_5(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_37(x))
Eq(F_32(x), F_33(x) + F_38(x))
Eq(F_33(x), F_29(x)*F_34(x))
Eq(F_34(x), F_1(x) + F_35(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_34(x)*F_37(x))
Eq(F_37(x), x)
Eq(F_38(x), F_39(x) + F_42(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_29(x)*F_37(x)*F_41(x))
Eq(F_41(x), F_29(x) + F_39(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_37(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_46(x))
Eq(F_45(x), F_34(x)*F_39(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_37(x)*F_41(x)*F_48(x))
Eq(F_48(x), F_32(x) + F_49(x))
Eq(F_49(x), F_37(x)*F_48(x))
Eq(F_50(x), F_22(x)*F_41(x))
Eq(F_51(x), F_24(x)*F_37(x))
Eq(F_52(x), F_29(x)*F_37(x))
Eq(F_53(x), F_37(x)*F_5(x))
Eq(F_54(x), F_37(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_59(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_17(x)*F_37(x)*F_58(x))
Eq(F_58(x), F_29(x) + F_9(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_17(x)*F_37(x)*F_58(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_37(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_77(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_14(x)*F_37(x)*F_66(x))
Eq(F_66(x), F_67(x)/(F_37(x)*F_5(x)))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_69(x)/F_37(x))
Eq(F_69(x), -F_7(x) + F_70(x) - F_73(x) - F_75(x))
Eq(F_70(x), F_58(x) - F_71(x))
Eq(F_71(x), F_5(x) + F_72(x))
Eq(F_72(x), F_18(x))
Eq(F_73(x), F_37(x)*F_74(x))
Eq(F_74(x), F_39(x) + F_61(x))
Eq(F_75(x), F_37(x)*F_76(x))
Eq(F_76(x), F_11(x) + F_41(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_29(x)*F_37(x)*F_79(x))
Eq(F_79(x), F_77(x) + F_80(x))
Eq(F_80(x), F_64(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_14(x)*F_4(x))
Eq(F_83(x), F_11(x)*F_37(x))
Eq(F_84(x), F_37(x)*F_85(x))
Eq(F_85(x), F_554(x) + F_86(x))
Eq(F_86(x), F_29(x) + F_87(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_37(x)*F_4(x)*F_89(x))
Eq(F_89(x), F_90(x)/F_37(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_553(x) + 2*F_7(x) + F_92(x))
Eq(F_92(x), F_37(x)*F_93(x))
Eq(F_93(x), -F_548(x) + F_94(x))
Eq(F_94(x), F_433(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_37(x)*F_97(x))
Eq(F_97(x), F_546(x) + F_98(x))
Eq(F_98(x), -F_526(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_37(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x) - F_120(x))
Eq(F_102(x), F_103(x) + F_142(x))
Eq(F_103(x), F_104(x) + F_5(x))
Eq(F_104(x), F_105(x) + F_113(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_37(x))
Eq(F_107(x), F_108(x) + F_109(x))
Eq(F_108(x), F_1(x) + F_105(x))
Eq(F_109(x), F_110(x) + F_37(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_37(x))
Eq(F_112(x), F_109(x))
Eq(F_113(x), F_114(x) + F_115(x) + F_7(x))
Eq(F_114(x), F_101(x)*F_37(x))
Eq(F_115(x), F_116(x)*F_37(x))
Eq(F_116(x), F_117(x) + F_141(x))
Eq(F_117(x), F_118(x) + F_140(x) + F_7(x))
Eq(F_118(x), F_119(x)*F_37(x))
Eq(F_119(x), F_120(x) + F_138(x))
Eq(F_120(x), F_121(x) + F_5(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_37(x))
Eq(F_123(x), F_124(x) + F_136(x))
Eq(F_124(x), F_120(x) + F_125(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_130(x)*F_37(x))
Eq(F_127(x), F_128(x) + F_5(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_123(x)*F_37(x))
Eq(F_130(x), F_131(x)/F_37(x))
Eq(F_131(x), -F_1(x) - F_132(x) + F_29(x))
Eq(F_132(x), F_133(x)*F_37(x))
Eq(F_133(x), F_120(x) + F_134(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_133(x)*F_37(x)*F_5(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_127(x)*F_133(x)*F_37(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_37(x)*F_98(x))
Eq(F_140(x), F_117(x)*F_37(x))
Eq(F_141(x), F_113(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_144(x)*F_37(x))
Eq(F_144(x), F_145(x) + F_184(x))
Eq(F_145(x), F_146(x) + F_180(x))
Eq(F_146(x), F_102(x) + F_147(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x)*F_37(x))
Eq(F_149(x), F_150(x) + F_174(x))
Eq(F_150(x), F_102(x)*F_151(x))
Eq(F_151(x), F_152(x) + F_161(x))
Eq(F_152(x), F_1(x) + F_153(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)*F_37(x))
Eq(F_155(x), F_152(x) + F_156(x))
Eq(F_156(x), F_157(x) + F_37(x))
Eq(F_157(x), F_158(x) + F_159(x) + F_7(x))
Eq(F_158(x), F_153(x)*F_37(x))
Eq(F_159(x), F_160(x)*F_37(x))
Eq(F_160(x), F_156(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_37(x))
Eq(F_163(x), F_164(x)/F_37(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x) + F_167(x) + F_7(x))
Eq(F_166(x), F_130(x)*F_37(x))
Eq(F_167(x), F_168(x)*F_37(x))
Eq(F_168(x), F_167(x) + F_169(x) + F_173(x) + F_7(x))
Eq(F_169(x), F_170(x)*F_37(x))
Eq(F_170(x), F_130(x) + F_171(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_133(x)*F_29(x)*F_37(x))
Eq(F_173(x), F_168(x)*F_37(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_144(x)*F_176(x)*F_37(x))
Eq(F_176(x), F_177(x) + F_178(x))
Eq(F_177(x), F_151(x)*F_34(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_151(x)*F_37(x)*F_48(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_146(x)*F_182(x)*F_37(x))
Eq(F_182(x), F_1(x) + F_132(x) + F_183(x))
Eq(F_183(x), F_182(x)*F_37(x))
Eq(F_184(x), F_185(x) + F_387(x))
Eq(F_185(x), F_186(x)*F_240(x))
Eq(F_186(x), F_187(x) + F_193(x))
Eq(F_187(x), F_188(x) + F_5(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x)*F_37(x))
Eq(F_190(x), F_191(x) + F_192(x) + F_5(x))
Eq(F_191(x), F_37(x)*F_98(x))
Eq(F_192(x), F_190(x)*F_37(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x) + F_196(x))
Eq(F_195(x), F_121(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_37(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_200(x) - F_212(x))
Eq(F_200(x), F_201(x) - F_204(x))
Eq(F_201(x), F_202(x)/F_37(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_101(x) - F_104(x))
Eq(F_204(x), F_205(x) - F_208(x))
Eq(F_205(x), F_206(x) - F_98(x))
Eq(F_206(x), F_207(x)/F_37(x))
Eq(F_207(x), F_101(x))
Eq(F_208(x), F_209(x) + F_210(x) + F_211(x) + F_7(x))
Eq(F_209(x), F_205(x)*F_37(x))
Eq(F_210(x), F_208(x)*F_37(x))
Eq(F_211(x), F_190(x)*F_37(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_214(x)*F_37(x))
Eq(F_214(x), F_215(x)/F_37(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_217(x) + F_95(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_127(x)*F_219(x)*F_37(x))
Eq(F_219(x), F_220(x) + F_95(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_222(x)*F_37(x))
Eq(F_222(x), F_223(x) + F_380(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_225(x)/F_37(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_227(x) - F_378(x) - F_95(x))
Eq(F_227(x), F_228(x)/F_34(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_230(x) - F_284(x))
Eq(F_230(x), F_231(x)/F_37(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x) - F_234(x))
Eq(F_233(x), F_133(x) + F_95(x))
Eq(F_234(x), F_235(x) + F_242(x))
Eq(F_235(x), F_236(x) + F_237(x))
Eq(F_236(x), F_1(x) + F_37(x))
Eq(F_237(x), F_238(x) + F_35(x))
Eq(F_238(x), F_239(x) + F_241(x) + F_7(x))
Eq(F_239(x), F_240(x)*F_37(x))
Eq(F_240(x), F_238(x) + F_37(x))
Eq(F_241(x), F_35(x)*F_37(x))
Eq(F_242(x), F_243(x) + F_258(x))
Eq(F_243(x), F_153(x) + F_244(x))
Eq(F_244(x), F_245(x) + F_257(x) + F_7(x))
Eq(F_245(x), F_246(x)*F_37(x))
Eq(F_246(x), F_247(x) + F_248(x))
Eq(F_247(x), F_244(x) + F_37(x))
Eq(F_248(x), F_249(x) + F_252(x))
Eq(F_249(x), F_250(x) + F_251(x) + F_7(x))
Eq(F_250(x), x**2)
Eq(F_251(x), x**2)
Eq(F_252(x), F_253(x) + F_254(x) + F_256(x) + F_7(x))
Eq(F_253(x), F_244(x)*F_37(x))
Eq(F_254(x), F_255(x)*F_37(x))
Eq(F_255(x), F_248(x))
Eq(F_256(x), F_157(x)*F_37(x))
Eq(F_257(x), F_153(x)*F_37(x))
Eq(F_258(x), F_259(x) + F_270(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_261(x)*F_37(x))
Eq(F_261(x), F_262(x) + F_263(x))
Eq(F_262(x), F_259(x) + F_35(x))
Eq(F_263(x), F_264(x) + F_266(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_35(x)*F_37(x))
Eq(F_266(x), F_267(x) + F_268(x) + 2*F_7(x))
Eq(F_267(x), F_259(x)*F_37(x))
Eq(F_268(x), F_269(x)*F_37(x))
Eq(F_269(x), F_263(x))
Eq(F_270(x), F_271(x) + F_283(x) + 2*F_7(x))
Eq(F_271(x), F_272(x)*F_37(x))
Eq(F_272(x), F_273(x) + F_274(x))
Eq(F_273(x), F_238(x) + F_270(x))
Eq(F_274(x), F_275(x) + F_278(x))
Eq(F_275(x), F_276(x) + F_277(x) + 2*F_7(x))
Eq(F_276(x), F_238(x)*F_37(x))
Eq(F_277(x), F_264(x)*F_37(x))
Eq(F_278(x), F_279(x) + F_280(x) + F_282(x) + 2*F_7(x))
Eq(F_279(x), F_270(x)*F_37(x))
Eq(F_280(x), F_281(x)*F_37(x))
Eq(F_281(x), F_274(x))
Eq(F_282(x), F_266(x)*F_37(x))
Eq(F_283(x), F_259(x)*F_37(x))
Eq(F_284(x), F_285(x) + F_290(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_287(x)*F_34(x))
Eq(F_287(x), F_163(x) + F_288(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_133(x)*F_151(x)*F_37(x))
Eq(F_290(x), F_291(x) + F_376(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_293(x)/F_37(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_295(x) - F_353(x))
Eq(F_295(x), F_296(x))
Eq(F_296(x), F_297(x) + F_349(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_299(x) - F_306(x))
Eq(F_299(x), F_300(x)/F_37(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_302(x) + F_304(x) + F_7(x))
Eq(F_302(x), F_303(x)*F_37(x))
Eq(F_303(x), F_6(x))
Eq(F_304(x), F_305(x)*F_37(x))
Eq(F_305(x), (x - 3)*(F_305(x) + 1) + (F_305(x) + 1)**2 + F_305(x) + 2)
Eq(F_306(x), F_307(x))
Eq(F_307(x), F_308(x)*F_37(x))
Eq(F_308(x), F_309(x) + F_311(x))
Eq(F_309(x), F_310(x)/F_37(x))
Eq(F_310(x), F_2(x))
Eq(F_311(x), F_312(x) - F_330(x))
Eq(F_312(x), F_313(x) + F_315(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_152(x)*F_305(x)*F_34(x))
Eq(F_315(x), F_316(x) + F_318(x) + F_7(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_134(x)*F_152(x)*F_34(x)*F_37(x))
Eq(F_318(x), F_319(x)*F_37(x))
Eq(F_319(x), F_320(x)/F_37(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_322(x) - F_327(x))
Eq(F_322(x), F_323(x)/F_37(x))
Eq(F_323(x), F_324(x))
Eq(F_324(x), -F_0(x) + F_325(x))
Eq(F_325(x), F_326(x)/F_37(x))
Eq(F_326(x), F_2(x))
Eq(F_327(x), F_120(x) + F_328(x))
Eq(F_328(x), F_329(x))
Eq(F_329(x), F_133(x)*F_152(x)*F_34(x)*F_37(x))
Eq(F_330(x), F_331(x) + F_343(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x)*F_37(x))
Eq(F_333(x), F_334(x) + F_336(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_152(x)*F_29(x)*F_34(x))
Eq(F_336(x), F_337(x))
Eq(F_337(x), F_29(x)*F_338(x)*F_37(x))
Eq(F_338(x), F_339(x) + F_342(x))
Eq(F_339(x), F_333(x) + F_340(x))
Eq(F_340(x), F_341(x))
Eq(F_341(x), F_338(x)*F_37(x))
Eq(F_342(x), F_338(x)*F_37(x))
Eq(F_343(x), F_344(x))
Eq(F_344(x), F_345(x)*F_37(x))
Eq(F_345(x), F_333(x) - F_346(x))
Eq(F_346(x), F_330(x) + F_347(x))
Eq(F_347(x), F_151(x) + F_348(x))
Eq(F_348(x), F_346(x)*F_37(x))
Eq(F_349(x), F_350(x) + F_351(x) + 2*F_7(x))
Eq(F_350(x), F_296(x)*F_37(x))
Eq(F_351(x), F_352(x))
Eq(F_352(x), F_151(x)*F_35(x)*F_37(x))
Eq(F_353(x), F_105(x) + F_354(x))
Eq(F_354(x), F_355(x) + F_372(x) + F_7(x))
Eq(F_355(x), F_356(x)*F_37(x))
Eq(F_356(x), F_353(x) + F_357(x))
Eq(F_357(x), F_358(x) + F_364(x))
Eq(F_358(x), F_359(x) + F_360(x) + F_7(x))
Eq(F_359(x), F_105(x)*F_37(x))
Eq(F_360(x), F_361(x)*F_37(x))
Eq(F_361(x), F_362(x) + F_363(x))
Eq(F_362(x), F_37(x))
Eq(F_363(x), F_264(x))
Eq(F_364(x), F_365(x) + F_366(x) + F_368(x) + F_7(x))
Eq(F_365(x), F_354(x)*F_37(x))
Eq(F_366(x), F_367(x)*F_37(x))
Eq(F_367(x), F_357(x))
Eq(F_368(x), F_369(x)*F_37(x))
Eq(F_369(x), F_370(x) + F_371(x))
Eq(F_370(x), F_157(x))
Eq(F_371(x), F_266(x))
Eq(F_372(x), F_37(x)*F_373(x))
Eq(F_373(x), F_374(x) + F_375(x))
Eq(F_374(x), F_153(x))
Eq(F_375(x), F_259(x))
Eq(F_376(x), F_377(x))
Eq(F_377(x), F_133(x)*F_296(x)*F_37(x))
Eq(F_378(x), F_379(x))
Eq(F_379(x), F_227(x)*F_34(x)*F_37(x))
Eq(F_380(x), F_381(x)/F_37(x))
Eq(F_381(x), F_290(x) - F_382(x) - F_384(x) - F_385(x) - F_7(x))
Eq(F_382(x), F_383(x))
Eq(F_383(x), F_290(x)*F_37(x))
Eq(F_384(x), F_290(x)*F_37(x))
Eq(F_385(x), F_386(x))
Eq(F_386(x), F_287(x)*F_34(x)*F_37(x))
Eq(F_387(x), F_388(x))
Eq(F_388(x), F_37(x)*F_389(x))
Eq(F_389(x), F_390(x) + F_513(x))
Eq(F_390(x), F_391(x))
Eq(F_391(x), F_392(x) + F_401(x))
Eq(F_392(x), F_186(x)*F_34(x)*F_393(x))
Eq(F_393(x), F_394(x) + F_395(x) + F_396(x) + F_7(x))
Eq(F_394(x), F_227(x)*F_37(x))
Eq(F_395(x), F_37(x)*F_393(x))
Eq(F_396(x), F_37(x)*F_397(x))
Eq(F_397(x), F_151(x) + F_398(x))
Eq(F_398(x), F_399(x) + F_400(x) + F_7(x))
Eq(F_399(x), F_288(x)*F_37(x))
Eq(F_400(x), F_37(x)*F_397(x))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_37(x)*F_403(x))
Eq(F_403(x), F_404(x) + F_414(x))
Eq(F_404(x), F_405(x)*F_407(x))
Eq(F_405(x), F_406(x)/F_37(x))
Eq(F_406(x), F_194(x))
Eq(F_407(x), F_408(x)/F_37(x))
Eq(F_408(x), F_409(x))
Eq(F_409(x), F_393(x) - F_410(x))
Eq(F_410(x), F_411(x) + F_412(x) + F_413(x) + F_7(x))
Eq(F_411(x), F_37(x)*F_95(x))
Eq(F_412(x), F_37(x)*F_410(x))
Eq(F_413(x), F_182(x)*F_37(x))
Eq(F_414(x), F_415(x)*F_429(x))
Eq(F_415(x), F_416(x) + F_427(x) + F_428(x) + F_7(x))
Eq(F_416(x), F_37(x)*F_417(x))
Eq(F_417(x), F_418(x) + F_425(x))
Eq(F_418(x), F_419(x))
Eq(F_419(x), F_37(x)*F_420(x))
Eq(F_420(x), F_421(x) - F_423(x))
Eq(F_421(x), F_422(x)/F_37(x))
Eq(F_422(x), F_212(x))
Eq(F_423(x), F_424(x))
Eq(F_424(x), F_127(x)*F_37(x)*F_97(x))
Eq(F_425(x), F_426(x))
Eq(F_426(x), F_37(x)*F_423(x))
Eq(F_427(x), F_37(x)*F_415(x))
Eq(F_428(x), F_127(x)*F_37(x))
Eq(F_429(x), F_430(x)/F_37(x))
Eq(F_430(x), F_431(x))
Eq(F_431(x), F_432(x) + F_507(x) + F_508(x) + 2*F_7(x))
Eq(F_432(x), F_37(x)*F_433(x))
Eq(F_433(x), F_434(x))
Eq(F_434(x), F_37(x)*F_435(x))
Eq(F_435(x), F_436(x)/F_505(x))
Eq(F_436(x), F_437(x) - F_504(x))
Eq(F_437(x), F_438(x)/F_37(x))
Eq(F_438(x), F_439(x))
Eq(F_439(x), F_440(x) - F_503(x))
Eq(F_440(x), F_441(x))
Eq(F_441(x), F_442(x) - F_499(x))
Eq(F_442(x), F_443(x)/F_37(x))
Eq(F_443(x), F_444(x))
Eq(F_444(x), F_445(x) - F_496(x))
Eq(F_445(x), F_446(x) + F_491(x))
Eq(F_446(x), F_447(x) - F_489(x))
Eq(F_447(x), F_448(x) - F_450(x))
Eq(F_448(x), F_449(x)/F_37(x))
Eq(F_449(x), F_203(x))
Eq(F_450(x), F_451(x)/F_37(x))
Eq(F_451(x), F_452(x))
Eq(F_452(x), -F_104(x) + F_453(x))
Eq(F_453(x), -F_127(x) + F_454(x))
Eq(F_454(x), F_455(x) + F_456(x))
Eq(F_455(x), F_108(x)*F_5(x))
Eq(F_456(x), F_457(x))
Eq(F_457(x), F_37(x)*F_458(x))
Eq(F_458(x), F_459(x) + F_463(x))
Eq(F_459(x), F_460(x)*F_5(x))
Eq(F_460(x), F_461(x)/F_37(x))
Eq(F_461(x), F_462(x))
Eq(F_462(x), F_113(x) + F_305(x))
Eq(F_463(x), F_464(x))
Eq(F_464(x), F_30(x)*F_465(x))
Eq(F_465(x), F_454(x) + F_466(x))
Eq(F_466(x), F_467(x) + F_468(x) + F_7(x))
Eq(F_467(x), F_37(x)*F_447(x))
Eq(F_468(x), F_37(x)*F_469(x))
Eq(F_469(x), F_470(x)/F_37(x))
Eq(F_470(x), F_471(x))
Eq(F_471(x), F_472(x) + F_473(x))
Eq(F_472(x), F_305(x))
Eq(F_473(x), F_474(x))
Eq(F_474(x), F_37(x)*F_475(x))
Eq(F_475(x), F_476(x))
Eq(F_476(x), F_37(x)*F_477(x))
Eq(F_477(x), F_190(x) + F_478(x))
Eq(F_478(x), F_37(x)*F_479(x))
Eq(F_479(x), F_480(x) + F_482(x))
Eq(F_480(x), F_481(x)/F_37(x))
Eq(F_481(x), F_199(x))
Eq(F_482(x), F_483(x))
Eq(F_483(x), F_133(x)*F_37(x)*F_484(x))
Eq(F_484(x), F_485(x)/(F_37(x)*F_4(x)))
Eq(F_485(x), F_486(x))
Eq(F_486(x), F_487(x) + F_72(x))
Eq(F_487(x), F_488(x))
Eq(F_488(x), F_12(x)*F_127(x)*F_37(x))
Eq(F_489(x), F_490(x))
Eq(F_490(x), F_37(x)*F_469(x)*F_95(x))
Eq(F_491(x), F_492(x))
Eq(F_492(x), F_37(x)*F_493(x))
Eq(F_493(x), F_494(x) + F_495(x))
Eq(F_494(x), F_469(x)*F_95(x))
Eq(F_495(x), F_133(x)*F_466(x))
Eq(F_496(x), F_187(x)*F_497(x))
Eq(F_497(x), F_240(x) + F_498(x))
Eq(F_498(x), F_244(x) + F_270(x))
Eq(F_499(x), F_500(x) + F_501(x))
Eq(F_500(x), F_187(x)*F_290(x))
Eq(F_501(x), F_502(x))
Eq(F_502(x), F_37(x)*F_380(x)*F_469(x))
Eq(F_503(x), F_187(x)*F_227(x)*F_34(x))
Eq(F_504(x), F_224(x)*F_469(x))
Eq(F_505(x), F_506(x))
Eq(F_506(x), F_37(x)*F_484(x))
Eq(F_507(x), F_37(x)*F_431(x))
Eq(F_508(x), F_37(x)*F_509(x))
Eq(F_509(x), F_132(x) + F_510(x) + F_512(x) + F_7(x))
Eq(F_510(x), F_37(x)*F_511(x))
Eq(F_511(x), -F_133(x) + F_170(x))
Eq(F_512(x), F_37(x)*F_509(x))
Eq(F_513(x), F_514(x) + F_519(x))
Eq(F_514(x), F_186(x)*F_515(x))
Eq(F_515(x), F_296(x) + F_516(x))
Eq(F_516(x), F_517(x) + F_518(x) + F_7(x))
Eq(F_517(x), F_37(x)*F_376(x))
Eq(F_518(x), F_37(x)*F_515(x))
Eq(F_519(x), F_520(x))
Eq(F_520(x), F_37(x)*F_405(x)*F_521(x))
Eq(F_521(x), F_522(x)/F_37(x))
Eq(F_522(x), F_515(x) - F_523(x) - F_524(x) - F_7(x))
Eq(F_523(x), F_37(x)*F_515(x))
Eq(F_524(x), F_525(x))
Eq(F_525(x), F_34(x)*F_37(x)*F_397(x))
Eq(F_526(x), F_527(x) + F_541(x))
Eq(F_527(x), F_528(x))
Eq(F_528(x), F_529(x) - F_531(x))
Eq(F_529(x), F_530(x)/F_37(x))
Eq(F_530(x), F_101(x))
Eq(F_531(x), F_532(x)/F_37(x))
Eq(F_532(x), F_533(x))
Eq(F_533(x), F_16(x) + F_534(x))
Eq(F_534(x), F_535(x))
Eq(F_535(x), F_37(x)*F_536(x))
Eq(F_536(x), F_537(x))
Eq(F_537(x), F_29(x)*F_37(x)*F_538(x))
Eq(F_538(x), F_187(x) + F_539(x) + F_540(x))
Eq(F_539(x), F_37(x)*F_99(x))
Eq(F_540(x), F_37(x)*F_538(x))
Eq(F_541(x), F_542(x))
Eq(F_542(x), F_133(x)*F_37(x)*F_543(x))
Eq(F_543(x), F_188(x) + F_544(x))
Eq(F_544(x), F_545(x))
Eq(F_545(x), F_37(x)*F_527(x))
Eq(F_546(x), F_547(x))
Eq(F_547(x), F_37(x)*F_5(x)*F_97(x))
Eq(F_548(x), F_549(x))
Eq(F_549(x), F_37(x)*F_550(x))
Eq(F_550(x), F_551(x) + F_552(x))
Eq(F_551(x), F_29(x)*F_95(x))
Eq(F_552(x), F_133(x)*F_91(x))
Eq(F_553(x), F_29(x)*F_37(x))
Eq(F_554(x), F_39(x) + F_555(x))
Eq(F_555(x), F_556(x))
Eq(F_556(x), F_37(x)*F_557(x))
Eq(F_557(x), F_558(x) + F_77(x))
Eq(F_558(x), F_559(x))
Eq(F_559(x), F_37(x)*F_66(x)*F_89(x))
Eq(F_560(x), F_37(x)*F_58(x))
Pack JSON:
{"name": "point_and_row_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}], "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": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"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, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"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, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], 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